TSTP Solution File: GRP720-2 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP720-2 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n127.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 00:24:12 EDT 2014
% Result : Timeout 300.11s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP720-2 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n127.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 01:24:18 CDT 2014
% % CPUTime : 300.11
% Processing problem /tmp/CiME_40889_n127.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " mult : infix commutative; op_b,op_a,unit : constant; 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);
% ";
%
% let s1 = status F "
% op_b lr_lex;
% op_a lr_lex;
% ld lr_lex;
% unit lr_lex;
% mult mul;
% ";
%
% let p1 = precedence F "
% mult > ld > unit > op_a > op_b";
%
% let s2 = status F "
% op_b mul;
% op_a mul;
% ld mul;
% mult mul;
% unit mul;
% ";
%
% let p2 = precedence F "
% mult > ld > unit = op_a = op_b";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " (op_a mult op_a) mult (op_b mult op_b) = A mult A;"
% ;
% (*
% 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) }
% (6 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 = { (op_b mult op_b) mult (op_a mult op_a) =
% A mult A } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] (eq)(A,A) -> (true)
% 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] (eq)((op_b mult op_b) mult (op_a mult op_a),A mult A) -> (false)
% 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,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 9
% New rule produced : [10] ld(ld(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [11] (eq)((op_b mult op_b) mult (op_a mult op_a),unit) -> (false)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,((C mult C) mult B) mult A))
% -> (false)
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% 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: 9
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced :
% [14]
% 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: 9
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% 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: 1
% Current number of rules: 15
% New rule produced :
% [16]
% 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: 0
% Current number of rules: 16
% New rule produced :
% [17]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((B mult B) mult ld(C,A)) mult C))
% -> (false)
% Current number of equations to process: 18
% Current number of ordered equations: 3
% Current number of rules: 17
% New rule produced :
% [18]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((B mult B) mult C) mult
% ld(C,A))) -> (false)
% Current number of equations to process: 18
% Current number of ordered equations: 2
% Current number of rules: 18
% New rule produced :
% [19]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,B) mult C,
% B mult C)) -> (false)
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [20]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult B,C) mult B,C))
% -> (false)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [21] ld(A mult B,((A mult A) mult B) mult A) -> A mult A
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22]
% 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: 28
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [23]
% 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: 27
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24]
% 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: 26
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25]
% 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: 44
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26]
% (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: 43
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27]
% 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: 51
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [28]
% (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: 51
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [29]
% 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: 50
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [30]
% 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: 49
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [31]
% 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: 48
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [32]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(C mult D,
% ((V_4 mult V_4) mult D) mult C) mult B) mult A))
% -> (false)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [33]
% ld(A mult B,(A mult C) mult B) <->
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C)
% Current number of equations to process: 52
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [34]
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C) <->
% ld(A mult B,(A mult C) mult B)
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [35]
% ld(A,((ld(ld(B,A),C) mult D) mult ld(B,A)) mult B) ->
% ld(A,(ld(B,A) mult D) mult B) mult ld(A,B mult C)
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [36]
% 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: 50
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [37]
% ld(A,((ld(B,C) mult D) mult B) mult ld(B,A)) <->
% ld(A,(B mult D) mult ld(B,A)) mult ld(A,ld(B,A) mult C)
% Rule
% [24]
% 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: 49
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [38]
% ld(A,(B mult D) mult ld(B,A)) mult ld(A,ld(B,A) mult C) <->
% ld(A,((ld(B,C) mult D) mult B) mult ld(B,A))
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [39]
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A) <->
% ld(A mult B,((ld(B,unit) mult C) mult B) mult A)
% Current number of equations to process: 78
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [40]
% ld(A mult B,((ld(B,unit) mult C) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A)
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [41]
% 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: 77
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [42]
% 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: 77
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43]
% (eq)((op_b mult op_b) mult (op_a mult op_a),((A mult A) mult ld(B,unit)) mult B)
% -> (false)
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(B mult B,C),A) mult C))
% -> (false)
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [45]
% (eq)((op_b mult op_b) mult (op_a mult op_a),((A mult A) mult B) mult
% ld(B,unit)) -> (false)
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,unit) mult B,B))
% -> (false)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [47]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,B) mult ld(B,C),C))
% -> (false)
% Current number of equations to process: 129
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [48]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,ld(B,C)) mult B,C))
% -> (false)
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [49] ((A mult A) mult B) mult A -> (A mult A) mult (A mult B)
% Rule [21] ld(A mult B,((A mult A) mult B) mult A) -> A mult A collapsed.
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [50] ld(ld(A mult A,B) mult A,A mult B) -> A mult A
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [51]
% 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: 152
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [52]
% ((ld(A,unit) mult B) mult A) mult A -> ((A mult B) mult ld(A,unit)) mult A
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [53]
% ld(A mult B,(ld(A,C) mult B) mult A) -> ld(A,ld(A mult B,(B mult C) mult A))
% Rule
% [25]
% 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: 198
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [54]
% ((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: 222
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [55]
% (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: 221
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [56]
% 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: 298
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [57]
% (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: 297
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [58]
% ((ld(A mult B,(B mult C) mult A) mult A) mult A) mult (A mult B) ->
% (((A mult C) mult A) mult B) mult A
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [59] ld(A mult B,(((A mult A) mult A) mult B) mult A) -> (A mult A) mult A
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [60]
% ld(A mult B,(((ld(A,C) mult B) mult B) mult A) mult B) ->
% (ld(A mult B,B mult C) mult B) mult B
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [61]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B mult C,((D mult D) mult C) mult B) mult
% ld(V_4,A)) mult V_4)) ->
% (false)
% Current number of equations to process: 497
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [62]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult (C mult C),
% (((C mult C) mult B) mult A) mult
% (C mult C))) -> (false)
% Current number of equations to process: 496
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [63]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B mult C,((D mult D) mult C) mult B) mult V_4) mult
% ld(V_4,A))) -> (false)
% Current number of equations to process: 494
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [64]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A),D) mult V_4,
% D mult V_4)) -> (false)
% Current number of equations to process: 492
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [65]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A) mult D,V_4) mult D,V_4))
% -> (false)
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [66]
% ld((A mult B) mult A,(((A mult C) mult B) mult A) mult A) <->
% ld((A mult B) mult A,((B mult C) mult A) mult A) mult A
% Current number of equations to process: 488
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [67]
% ld((A mult B) mult A,((B mult C) mult A) mult A) mult A <->
% ld((A mult B) mult A,(((A mult C) mult B) mult A) mult A)
% Current number of equations to process: 488
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [68]
% ld(A mult B,((((A mult C) mult A) mult A) mult B) mult A) <->
% ((ld(A mult B,(B mult C) mult A) mult A) mult A) mult A
% Current number of equations to process: 486
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [69]
% ((ld(A mult B,(B mult C) mult A) mult A) mult A) mult A <->
% ld(A mult B,((((A mult C) mult A) mult A) mult B) mult A)
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [70]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult C,(((D mult D) mult B) mult A) mult C))
% -> (false)
% Rule
% [62]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult (C mult C),
% (((C mult C) mult B) mult A) mult
% (C mult C))) -> (false)
% collapsed.
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [71]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(C,((D mult D) mult
% ld(V_4,C)) mult V_4) mult B) mult A))
% -> (false)
% Current number of equations to process: 544
% Current number of ordered equations: 3
% Current number of rules: 67
% New rule produced :
% [72]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(C,((D mult D) mult V_4) mult
% ld(V_4,C)) mult B) mult A))
% -> (false)
% Current number of equations to process: 544
% Current number of ordered equations: 2
% Current number of rules: 68
% New rule produced :
% [73]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld(C mult C,D) mult V_4,
% D mult V_4) mult B) mult A))
% -> (false)
% Current number of equations to process: 544
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [74]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld((C mult C) mult D,V_4) mult D,V_4) mult B) mult A))
% -> (false)
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [75]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(A mult C,(
% (
% (D mult D) mult A) mult C) mult A) mult B))
% -> (false)
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [76] ld(A mult B,(A mult A) mult B) mult ld(A mult B,B) -> unit
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [77]
% ld(A,(ld(B,A) mult C) mult B) <->
% ld(A,(ld(B,A) mult ld(B,A)) mult B) mult ld(A,B mult C)
% Rule
% [35]
% ld(A,((ld(ld(B,A),C) mult D) mult ld(B,A)) mult B) ->
% ld(A,(ld(B,A) mult D) mult B) mult ld(A,B mult C) collapsed.
% Current number of equations to process: 603
% Current number of ordered equations: 2
% Current number of rules: 72
% New rule produced :
% [78]
% ld(A,(ld(B,A) mult ld(B,A)) mult B) mult ld(A,B mult C) <->
% ld(A,(ld(B,A) mult C) mult B)
% Current number of equations to process: 603
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [79]
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,ld(B,A) mult C) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [80]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,ld(A mult B,(
% (
% (
% (C mult C) mult A) mult A) mult B) mult A)))
% -> (false)
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [81]
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,ld(A,C) mult B) ->
% ld(A mult B,B mult C)
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [82]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,(B mult B) mult A) mult A)
% -> (false)
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [83]
% (ld(A mult A,A mult B) mult A) mult A ->
% ld(A mult A,((A mult B) mult A) mult A)
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [84]
% ld(ld(A mult A,A mult B) mult A,ld(A mult A,((A mult B) mult A) mult A)) -> A
% Current number of equations to process: 652
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [85] ld(A mult A,A mult B) mult A -> ld(A mult A,(A mult B) mult A)
% Rule
% [82]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,(B mult B) mult A) mult A)
% -> (false) collapsed.
% Rule
% [83]
% (ld(A mult A,A mult B) mult A) mult A ->
% ld(A mult A,((A mult B) mult A) mult A) collapsed.
% Rule
% [84]
% ld(ld(A mult A,A mult B) mult A,ld(A mult A,((A mult B) mult A) mult A)) -> A
% collapsed.
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [86]
% ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,(B mult B) mult A) mult ld(A mult B,C)
% Current number of equations to process: 660
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [87]
% ld(A mult B,(B mult B) mult A) mult ld(A mult B,C) <->
% ld(A,ld(A mult B,(B mult C) mult A))
% Rule [76] ld(A mult B,(A mult A) mult B) mult ld(A mult B,B) -> unit
% collapsed.
% Current number of equations to process: 660
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [88]
% ld(A mult B,(A mult A) mult B) <->
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B))
% Current number of equations to process: 659
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [89]
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B)) <->
% ld(A mult B,(A mult A) mult B)
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [90]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(B mult B) mult A) mult
% ld(A mult B,(C mult C) mult A))
% -> (false)
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [91]
% ld(ld(A mult B,(A mult A) mult B),ld(A mult B,(A mult C) mult B)) ->
% ld(A mult B,B mult C)
% Current number of equations to process: 654
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [92]
% ld(A,B) mult ld(B,(A mult A) mult ld(A,B)) -> ld(B,(A mult B) mult ld(A,B))
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [93]
% 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: 785
% Current number of ordered equations: 2
% Current number of rules: 84
% New rule produced :
% [94]
% 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: 785
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [95]
% 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: 785
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [96]
% ld(ld(A,B) mult C,(((A mult C) mult C) mult ld(A,B)) mult C) <->
% (ld(ld(A,B) mult C,B mult C) mult C) mult C
% Current number of equations to process: 784
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [97]
% (ld(ld(A,B) mult C,B mult C) mult C) mult C <->
% ld(ld(A,B) mult C,(((A mult C) mult C) mult ld(A,B)) mult C)
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [98]
% 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: 783
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [99]
% 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: 783
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [100]
% 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: 782
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [101]
% (ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C)) mult (A mult B)
% -> (A mult C) mult B
% Current number of equations to process: 779
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [102]
% ((ld(A,B) mult C) mult A) mult ld(A,unit) ->
% ((A mult C) mult ld(A,unit)) mult (ld(A,unit) mult B)
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [103]
% ld(A,((ld(B,unit) mult C) mult B) mult ld(B,A)) <->
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A))
% Current number of equations to process: 933
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [104]
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) <->
% ld(A,((ld(B,unit) mult C) mult B) mult ld(B,A))
% Current number of equations to process: 933
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [105]
% 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: 932
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [106]
% 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: 932
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [107]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,((C mult C) mult D) mult
% ld(D,B)) mult
% ld(V_4,A)) mult V_4)) ->
% (false)
% Current number of equations to process: 1034
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [108]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,((C mult C) mult D) mult
% ld(D,B)) mult V_4) mult
% ld(V_4,A))) -> (false)
% Current number of equations to process: 1033
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [109]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)),D) mult V_4,
% D mult V_4)) -> (false)
% Current number of equations to process: 1032
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [110]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)) mult D,V_4) mult D,V_4))
% -> (false)
% Current number of equations to process: 1031
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [111]
% ld(A mult B,((ld(A,unit) mult ld(A,C)) mult A) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B)
% Current number of equations to process: 1071
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [112]
% ld(A mult B,B mult C) mult ld(A mult B,B) <->
% ld(A mult B,((ld(A,unit) mult ld(A,C)) mult A) mult B)
% Current number of equations to process: 1071
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [113]
% ld(A mult A,((A mult B) mult ld(A,unit)) mult A) ->
% ld(A mult A,(A mult B) mult A) mult ld(A mult A,A)
% Current number of equations to process: 1187
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [114]
% ld(C,(((A mult B) mult C) mult ld(A mult C,C)) mult (A mult C)) ->
% ((ld(A,unit) mult B) mult A) mult (A mult C)
% Current number of equations to process: 1209
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [115]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(B mult B,unit),A))) ->
% (false)
% Current number of equations to process: 1452
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [116]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,B),unit) mult B)
% -> (false)
% Current number of equations to process: 1454
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [117] ld(A,(A mult A) mult (A mult B)) -> (A mult A) mult B
% Current number of equations to process: 1528
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced : [118] (ld(A mult A,B) mult A) mult (A mult A) -> A mult B
% Current number of equations to process: 1527
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [119] ld((A mult A) mult B,(A mult A) mult (A mult B)) -> A
% Current number of equations to process: 1526
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [120]
% (((A mult A) mult A) mult B) mult A -> ((A mult A) mult A) mult (A mult B)
% Rule
% [59] ld(A mult B,(((A mult A) mult A) mult B) mult A) -> (A mult A) mult A
% collapsed.
% Current number of equations to process: 1578
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [121] ld(ld(A mult A,unit) mult A,A) -> A mult A
% Current number of equations to process: 1657
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [122] ld(ld(A mult A,ld(A,B)) mult A,B) -> A mult A
% Current number of equations to process: 1656
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [123]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(((A mult A) mult A) mult
% (A mult A)) mult ld(A,unit)) ->
% (false)
% Current number of equations to process: 1655
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [124] ld(A mult A,B) mult A -> ld(A mult A,A mult B)
% Rule [50] ld(ld(A mult A,B) mult A,A mult B) -> A mult A collapsed.
% Rule [85] ld(A mult A,A mult B) mult A -> ld(A mult A,(A mult B) mult A)
% collapsed.
% Rule [118] (ld(A mult A,B) mult A) mult (A mult A) -> A mult B collapsed.
% Rule [121] ld(ld(A mult A,unit) mult A,A) -> A mult A collapsed.
% Rule [122] ld(ld(A mult A,ld(A,B)) mult A,B) -> A mult A collapsed.
% Current number of equations to process: 1658
% Current number of ordered equations: 0
% Current number of rules: 109
% Rule [77]
% ld(A,(ld(B,A) mult C) mult B) <->
% ld(A,(ld(B,A) mult ld(B,A)) mult B) mult ld(A,B mult C) is composed into
% [77]
% ld(A,(ld(B,A) mult C) mult B) <->
% ld(A,B mult C) mult ld(B,ld(A,(ld(B,A) mult A) mult B))
% New rule produced :
% [125]
% ld(B,(ld(A,B) mult ld(A,C)) mult A) -> ld(A,ld(B,(ld(A,B) mult C) mult A))
% Rule
% [78]
% ld(A,(ld(B,A) mult ld(B,A)) mult B) mult ld(A,B mult C) <->
% ld(A,(ld(B,A) mult C) mult B) collapsed.
% Current number of equations to process: 1662
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [126]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult A) mult
% (A mult A),B) mult A,B)) ->
% (false)
% Current number of equations to process: 1661
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [127]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((B mult B) mult B) mult
% (B mult B)) mult A))
% -> (false)
% Current number of equations to process: 1660
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [128]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult B) mult
% (B mult B)) mult ld(B,A)))
% -> (false)
% Current number of equations to process: 1659
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [129]
% ld(A mult B,(((A mult A) mult (A mult A)) mult B) mult A) ->
% (A mult A) mult (A mult A)
% Current number of equations to process: 1658
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [130]
% (A mult A) mult ld(A mult B,(B mult C) mult A) <->
% ld(A mult B,(((A mult A) mult C) mult B) mult A)
% Current number of equations to process: 1656
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [131]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) <->
% (A mult A) mult ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 1656
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [132]
% ld(A mult B,((B mult B) mult B) mult A) mult A <->
% ld(A mult B,((A mult B) mult (B mult B)) mult A)
% Current number of equations to process: 1655
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [133]
% ld(A mult B,((A mult B) mult (B mult B)) mult A) <->
% ld(A mult B,((B mult B) mult B) mult A) mult A
% Current number of equations to process: 1655
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [134]
% (A mult A) mult ld((A mult A) mult A,A mult B) ->
% ld((A mult A) mult A,(A mult A) mult (A mult B))
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [135]
% (((A mult A) mult A) mult (A mult A)) mult (A mult A) ->
% ((A mult A) mult (A mult A)) mult ((A mult A) mult A)
% Current number of equations to process: 1653
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [136]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A mult B,((C mult C) mult B) mult A) mult
% ld(D,unit)) mult D) -> (false)
% Current number of equations to process: 1652
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [137]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A,((B mult B) mult C) mult
% ld(C,A)) mult ld(D,unit)) mult D)
% -> (false)
% Current number of equations to process: 1649
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [138]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A mult B,((C mult C) mult B) mult A) mult D) mult
% ld(D,unit)) -> (false)
% Current number of equations to process: 1648
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [139]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A,((B mult B) mult C) mult
% ld(C,A)) mult D) mult
% ld(D,unit)) -> (false)
% Current number of equations to process: 1645
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [140]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A),unit) mult D,D))
% -> (false)
% Current number of equations to process: 1644
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [141]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)),unit) mult D,D))
% -> (false)
% Current number of equations to process: 1641
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [142]
% ld(A,ld(A mult B,((A mult B) mult (B mult B)) mult A)) ->
% ld(A mult B,((B mult B) mult B) mult A)
% Current number of equations to process: 1640
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [143]
% ld(A mult B,(A mult A) mult A) mult ld(A mult B,(B mult B) mult A) ->
% A mult A
% Current number of equations to process: 1639
% Current number of ordered equations: 0
% Current number of rules: 127
% Rule [114]
% ld(C,(((A mult B) mult C) mult ld(A mult C,C)) mult (A mult C)) ->
% ((ld(A,unit) mult B) mult A) mult (A mult C) is composed into [114]
% ld(C,
% ((
% (A mult B) mult C) mult
% ld(
% A mult C,C)) mult
% (A mult C))
% ->
% ((A mult B) mult
% ld(A,unit)) mult
% (A mult C)
% Rule [112]
% ld(A mult B,B mult C) mult ld(A mult B,B) <->
% ld(A mult B,((ld(A,unit) mult ld(A,C)) mult A) mult B) is composed into
% [112]
% ld(A mult B,B mult C) mult ld(A mult B,B) <->
% ld(A mult B,((ld(A,C) mult A) mult ld(A,unit)) mult B)
% Rule [104]
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) <->
% ld(A,((ld(B,unit) mult C) mult B) mult ld(B,A)) is composed into
% [104]
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) <->
% ld(A,((B mult C) mult ld(B,unit)) mult ld(B,A))
% Rule [39]
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A) <->
% ld(A mult B,((ld(B,unit) mult C) mult B) mult A) is composed into
% [39]
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A) <->
% ld(A mult B,((B mult C) mult ld(B,unit)) mult A)
% New rule produced :
% [144] (ld(A,unit) mult B) mult A -> (A mult B) mult ld(A,unit)
% Rule
% [40]
% ld(A mult B,((ld(B,unit) mult C) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A) collapsed.
% Rule
% [43]
% (eq)((op_b mult op_b) mult (op_a mult op_a),((A mult A) mult ld(B,unit)) mult B)
% -> (false) collapsed.
% Rule
% [52]
% ((ld(A,unit) mult B) mult A) mult A -> ((A mult B) mult ld(A,unit)) mult A
% collapsed.
% Rule
% [103]
% ld(A,((ld(B,unit) mult C) mult B) mult ld(B,A)) <->
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) collapsed.
% Rule
% [111]
% ld(A mult B,((ld(A,unit) mult ld(A,C)) mult A) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B) collapsed.
% Rule
% [113]
% ld(A mult A,((A mult B) mult ld(A,unit)) mult A) ->
% ld(A mult A,(A mult B) mult A) mult ld(A mult A,A) collapsed.
% Rule
% [136]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A mult B,((C mult C) mult B) mult A) mult
% ld(D,unit)) mult D) -> (false)
% collapsed.
% Rule
% [137]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A,((B mult B) mult C) mult
% ld(C,A)) mult ld(D,unit)) mult D)
% -> (false) collapsed.
% Current number of equations to process: 1645
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [145] ld(A,ld(A mult A,(A mult B) mult A)) -> ld(A mult A,A mult B)
% Current number of equations to process: 1700
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [146]
% (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: 1699
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [147]
% (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: 1699
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [148]
% ld(A,(ld(ld(B,A),C) mult B) mult ld(B,A)) ->
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A)))
% Current number of equations to process: 1698
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [149]
% 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: 1772
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [150]
% 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: 1771
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [151]
% ld(A,ld((A mult A) mult A,(A mult A) mult (A mult B))) ->
% ld((A mult A) mult A,(A mult A) mult B)
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [152]
% ld(A mult B,(ld(A,unit) mult C) mult B) <->
% ld(A mult B,B mult C) mult ld(A mult B,B)
% Current number of equations to process: 1929
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [153]
% ld(A mult B,B mult C) mult ld(A mult B,B) <->
% ld(A mult B,(ld(A,unit) mult C) mult B)
% Rule
% [39]
% ld(A mult B,(B mult C) mult A) mult ld(A mult B,A) <->
% ld(A mult B,((B mult C) mult ld(B,unit)) mult A) collapsed.
% Current number of equations to process: 1929
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [154]
% ld(A mult A,(A mult B) mult A) mult ld(A mult A,A) ->
% ld(A mult A,((A mult B) mult A) mult ld(A,unit))
% Current number of equations to process: 1928
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [155]
% ld(A mult B,((B mult B) mult B) mult A) mult ld(A mult B,A) ->
% ld(A mult B,(B mult B) mult A)
% Current number of equations to process: 1927
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [156]
% 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: 1926
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [157]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B mult C,((D mult D) mult C) mult B),V_4),A) mult V_4))
% -> (false)
% Current number of equations to process: 2068
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [158]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B,((C mult C) mult D) mult
% ld(D,B)),V_4),A) mult V_4))
% -> (false)
% Current number of equations to process: 2065
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [159]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A),D) mult
% ld(D,V_4),V_4)) -> (false)
% Current number of equations to process: 2064
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [160]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)),D) mult
% ld(D,V_4),V_4)) -> (false)
% Current number of equations to process: 2061
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [161]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A),
% ld(D,V_4)) mult D,V_4)) ->
% (false)
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [162]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)),ld(D,V_4)) mult D,V_4))
% -> (false)
% Current number of equations to process: 2057
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [163]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult (A mult B),
% ((A mult A) mult B) mult
% ((C mult C) mult A))) -> (false)
% Current number of equations to process: 2055
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [164]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult (A mult B),
% (((A mult A) mult B) mult
% (C mult C)) mult A)) -> (false)
% Current number of equations to process: 2055
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [165]
% ld(A mult B,((((B mult B) mult C) mult A) mult B) mult A) ->
% ld(A mult B,((B mult B) mult (B mult C)) mult A) mult A
% Current number of equations to process: 2053
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [166]
% ld((A mult A) mult A,(A mult A) mult (A mult B)) mult A ->
% ld((A mult A) mult A,((A mult B) mult A) mult (A mult A))
% Current number of equations to process: 2053
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [167]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) mult A ->
% ld(A mult B,(((A mult A) mult (A mult C)) mult B) mult A)
% Current number of equations to process: 2051
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [168]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,(B mult B) mult C) mult B,
% (B mult B) mult (B mult C))) ->
% (false)
% Current number of equations to process: 2049
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [169]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(((A mult A) mult B) mult
% ld(C mult C,A),(A mult A) mult
% (A mult B))) ->
% (false)
% Current number of equations to process: 2049
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [170]
% ((((A mult A) mult (A mult A)) mult B) mult A) mult (A mult A) ->
% (((A mult A) mult (A mult A)) mult ((A mult A) mult B)) mult A
% Current number of equations to process: 2048
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [171]
% (ld(ld(A,unit) mult B,B) mult B) mult (ld(A,unit) mult B) ->
% ((A mult B) mult ld(A,unit)) mult B
% Current number of equations to process: 2131
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [172]
% (((ld(A,C) mult B) mult B) mult A) mult B ->
% ((ld(A mult B,B mult C) mult B) mult B) mult (A mult B)
% Rule
% [60]
% ld(A mult B,(((ld(A,C) mult B) mult B) mult A) mult B) ->
% (ld(A mult B,B mult C) mult B) mult B collapsed.
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [173]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult B,(((A mult A) mult C) mult
% ld(C,B)) mult
% (A mult A)))
% -> (false)
% Current number of equations to process: 2312
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [174]
% (((A mult A) mult (A mult A)) mult B) mult A ->
% ((A mult A) mult (A mult A)) mult (A mult B)
% Rule
% [129]
% ld(A mult B,(((A mult A) mult (A mult A)) mult B) mult A) ->
% (A mult A) mult (A mult A) collapsed.
% Rule
% [170]
% ((((A mult A) mult (A mult A)) mult B) mult A) mult (A mult A) ->
% (((A mult A) mult (A mult A)) mult ((A mult A) mult B)) mult A collapsed.
% Current number of equations to process: 2464
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [175]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,((C mult C) mult
% ld(D,B)) mult D) mult
% ld(V_4,A)) mult V_4)) ->
% (false)
% Current number of equations to process: 2496
% Current number of ordered equations: 2
% Current number of rules: 147
% New rule produced :
% [176]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,C) mult D,
% C mult D) mult ld(V_4,A)) mult V_4))
% -> (false)
% Current number of equations to process: 2496
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [177]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld((B mult B) mult C,D) mult C,D) mult
% ld(V_4,A)) mult V_4)) ->
% (false)
% Current number of equations to process: 2496
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [178]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((C mult C) mult
% ld(D,B)) mult D) mult A))
% -> (false)
% Current number of equations to process: 2512
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [179]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult C) mult D) mult
% ld(C mult D,A))) -> (false)
% Current number of equations to process: 2576
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [180]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,((C mult C) mult
% ld(D,B)) mult D) mult V_4) mult
% ld(V_4,A))) -> (false)
% Current number of equations to process: 2573
% Current number of ordered equations: 2
% Current number of rules: 152
% New rule produced :
% [181]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,C) mult D,
% C mult D) mult V_4) mult
% ld(V_4,A))) -> (false)
% Current number of equations to process: 2573
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [182]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld((B mult B) mult C,D) mult C,D) mult V_4) mult
% ld(V_4,A))) -> (false)
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [183]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(B mult C,(((D mult D) mult B) mult C) mult B) mult
% ld(B,A))) -> (false)
% Current number of equations to process: 2585
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [184]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult
% ld(C,A)) mult C),D) mult V_4,
% D mult V_4)) -> (false)
% Current number of equations to process: 2658
% Current number of ordered equations: 2
% Current number of rules: 156
% New rule produced :
% [185]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C),D) mult V_4,
% D mult V_4)) -> (false)
% Current number of equations to process: 2658
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [186]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C),D) mult V_4,
% D mult V_4)) -> (false)
% Current number of equations to process: 2658
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [187]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult ld(((C mult C) mult B) mult A,D),D))
% -> (false)
% Current number of equations to process: 2757
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [188]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult
% ld(C,A)) mult C) mult D,V_4) mult D,V_4))
% -> (false)
% Current number of equations to process: 2754
% Current number of ordered equations: 2
% Current number of rules: 160
% New rule produced :
% [189]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C) mult D,V_4) mult D,V_4))
% -> (false)
% Current number of equations to process: 2754
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [190]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C) mult D,V_4) mult D,V_4))
% -> (false)
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [191]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,(((C mult C) mult A) mult B) mult A),D) mult A,D))
% -> (false)
% Current number of equations to process: 2769
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [192]
% ld(A mult B,((ld(A,B) mult C) mult A) mult A) mult A ->
% ld(A mult B,(((A mult C) mult ld(A,B)) mult A) mult A)
% Current number of equations to process: 2851
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [193]
% ld(A mult B,((((A mult A) mult A) mult (A mult A)) mult B) mult A) ->
% ((A mult A) mult A) mult (A mult A)
% Current number of equations to process: 3254
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [194]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((C mult C) mult D) mult
% ld(D,A)) mult B)) ->
% (false)
% Rule
% [173]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult B,(((A mult A) mult C) mult
% ld(C,B)) mult
% (A mult A)))
% -> (false) collapsed.
% Current number of equations to process: 3500
% Current number of ordered equations: 2
% Current number of rules: 165
% New rule produced :
% [195]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,B) mult C) mult D,
% (B mult C) mult D)) -> (false)
% Current number of equations to process: 3500
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [196]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult B,C) mult B) mult D,
% C mult D)) -> (false)
% Current number of equations to process: 3500
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [197]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult (A mult B),
% (((A mult A) mult (C mult C)) mult B) mult A))
% -> (false)
% Current number of equations to process: 3614
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [198]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult C,((((A mult A) mult A) mult
% (A mult A)) mult B) mult C))
% -> (false)
% Current number of equations to process: 3614
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [199]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(C,(((D mult D) mult B) mult
% ld(B,C)) mult B) mult A))
% -> (false)
% Current number of equations to process: 3651
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [200]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(A mult B,((((C mult C) mult
% ld(D,A)) mult D) mult B) mult A)))
% -> (false)
% Current number of equations to process: 3701
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [201]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(C,ld(ld(D mult D,V_4),C) mult V_4) mult B) mult A))
% -> (false)
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [202]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,((((C mult C) mult D) mult
% ld(D,unit)) mult B) mult A))
% -> (false)
% Current number of equations to process: 3710
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [203]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld(C mult C,unit) mult D,D) mult B) mult A))
% -> (false)
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [204]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(A mult B,((((C mult C) mult D) mult
% ld(D,A)) mult B) mult A)))
% -> (false)
% Current number of equations to process: 3796
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [205]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld(C mult C,D) mult
% ld(D,V_4),V_4) mult B) mult A))
% -> (false)
% Current number of equations to process: 3794
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [206]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld(C mult C,
% ld(D,V_4)) mult D,V_4) mult B) mult A))
% -> (false)
% Current number of equations to process: 3794
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [207]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(ld((C mult C) mult A,D) mult A,
% A mult D) mult B)) ->
% (false)
% Current number of equations to process: 4015
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [208] ld(A,B) mult ld(B,ld(A,(ld(B,A) mult A) mult B)) -> unit
% Current number of equations to process: 4120
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [209] ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,A mult A) -> A
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [210]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(A mult C,(
% (A mult C) mult
% (C mult C)) mult A) mult B))
% -> (false)
% Current number of equations to process: 4118
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [211]
% (ld(A,B mult C) mult ld(B,ld(A,(ld(B,A) mult A) mult B))) mult A ->
% (ld(B,A) mult C) mult B
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [212]
% ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,(A mult A) mult A) -> A mult A
% Current number of equations to process: 4172
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [213] ld(A,(B mult B) mult ld(B,A)) mult ld(A,ld(B,A)) -> unit
% Current number of equations to process: 4217
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [214]
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,C)
% Current number of equations to process: 4216
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [215]
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,C) <->
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A)))
% Rule [213] ld(A,(B mult B) mult ld(B,A)) mult ld(A,ld(B,A)) -> unit
% collapsed.
% Current number of equations to process: 4216
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [216]
% ld(A,(B mult B) mult ld(B,A)) <->
% ld(ld(A,ld(B,A) mult C),ld(A,(B mult C) mult ld(B,A)))
% Current number of equations to process: 4215
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [217]
% ld(ld(A,ld(B,A) mult C),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,(B mult B) mult ld(B,A))
% Current number of equations to process: 4215
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [218]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(B mult B) mult C) mult
% ld(C,ld(A,(ld(C,A) mult A) mult C)))
% -> (false)
% Current number of equations to process: 4214
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [219]
% ld(ld(A,(B mult B) mult 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: 4213
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [220]
% ((A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) ->
% (A mult B) mult ld(A,unit)
% Current number of equations to process: 4225
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [221]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,ld(B,((((C mult C) mult A) mult A) mult
% ld(A,B)) mult A)))
% -> (false)
% Current number of equations to process: 4418
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [222]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,ld(ld(((B mult B) mult A) mult A,C) mult A,
% A mult C))) ->
% (false)
% Current number of equations to process: 4418
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [223]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult A,((B mult B) mult A) mult A) mult A)
% -> (false)
% Current number of equations to process: 4450
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [224]
% ld(A mult B,ld(A,C) mult B) <->
% ld(ld(A mult B,(A mult A) mult B),ld(A mult B,B mult C))
% Current number of equations to process: 4489
% Current number of ordered equations: 3
% Current number of rules: 194
% Rule [224]
% ld(A mult B,ld(A,C) mult B) <->
% ld(ld(A mult B,(A mult A) mult B),ld(A mult B,B mult C)) is composed into
% [224]
% ld(A mult B,ld(A,C) mult B) <->
% ld(ld(ld(A mult B,ld(A,op_b) mult B),ld(A mult B,op_b mult B)),ld(A mult B,
% B mult C))
% Rule [155]
% ld(A mult B,((B mult B) mult B) mult A) mult ld(A mult B,A) ->
% ld(A mult B,(B mult B) mult A) is composed into [155]
% ld(A mult B,((B mult B) mult B) mult A) mult
% ld(A mult B,A) ->
% ld(ld(A mult B,ld(B,op_b) mult A),
% ld(A mult B,op_b mult A))
% Rule [89]
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B)) <->
% ld(A mult B,(A mult A) mult B) is composed into [89]
% ld(ld(A mult B,B mult C),
% ld(A mult B,(A mult C) mult B))
% ->
% ld(ld(A mult B,ld(A,op_b) mult B),
% ld(A mult B,op_b mult B))
% Rule [86]
% ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,(B mult B) mult A) mult ld(A mult B,C) is composed into
% [86]
% ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,C) mult ld(ld(A mult B,ld(B,op_b) mult A),ld(A mult B,op_b mult A))
% Rule [33]
% ld(A mult B,(A mult C) mult B) <->
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C) is composed into
% [33]
% ld(A mult B,(A mult C) mult B) <->
% ld(A mult B,B mult C) mult ld(ld(A mult B,ld(A,op_b) mult B),ld(A mult B,
% op_b mult B))
% New rule produced :
% [225]
% ld(A mult B,(A mult A) mult B) <->
% ld(ld(A mult B,ld(A,C) mult B),ld(A mult B,B mult C))
% Rule
% [34]
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C) <->
% ld(A mult B,(A mult C) mult B) collapsed.
% Rule
% [81]
% ld(A mult B,(A mult A) mult B) mult ld(A mult B,ld(A,C) mult B) ->
% ld(A mult B,B mult C) collapsed.
% Rule
% [87]
% ld(A mult B,(B mult B) mult A) mult ld(A mult B,C) <->
% ld(A,ld(A mult B,(B mult C) mult A)) collapsed.
% Rule
% [88]
% ld(A mult B,(A mult A) mult B) <->
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B)) collapsed.
% Rule
% [90]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(B mult B) mult A) mult
% ld(A mult B,(C mult C) mult A))
% -> (false) collapsed.
% Rule
% [91]
% ld(ld(A mult B,(A mult A) mult B),ld(A mult B,(A mult C) mult B)) ->
% ld(A mult B,B mult C) collapsed.
% Rule
% [101]
% (ld(A mult B,(A mult A) mult B) mult ld(A mult B,B mult C)) mult (A mult B)
% -> (A mult C) mult B collapsed.
% Rule
% [143]
% ld(A mult B,(A mult A) mult A) mult ld(A mult B,(B mult B) mult A) ->
% A mult A collapsed.
% Current number of equations to process: 4496
% Current number of ordered equations: 0
% Current number of rules: 187
% Rule [224]
% ld(A mult B,ld(A,C) mult B) <->
% ld(ld(ld(A mult B,ld(A,op_b) mult B),ld(A mult B,op_b mult B)),ld(
% A mult B,
% B mult C)) is composed into
% [224]
% ld(A mult B,ld(A,C) mult B) ->
% ld(ld(ld(A mult B,B),unit),ld(A mult B,B mult C))
% Rule [155]
% ld(A mult B,((B mult B) mult B) mult A) mult ld(A mult B,A) ->
% ld(ld(A mult B,ld(B,op_b) mult A),ld(A mult B,op_b mult A)) is composed into
% [155]
% ld(A mult B,((B mult B) mult B) mult A) mult ld(A mult B,A) ->
% ld(ld(A mult B,A),unit)
% Rule [89]
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B)) ->
% ld(ld(A mult B,ld(A,op_b) mult B),ld(A mult B,op_b mult B)) is composed into
% [89]
% ld(ld(A mult B,B mult C),ld(A mult B,(A mult C) mult B)) ->
% ld(ld(A mult B,B),unit)
% Rule [86]
% ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,C) mult ld(ld(A mult B,ld(B,op_b) mult A),ld(A mult B,
% op_b mult A)) is composed into
% [86]
% ld(A,ld(A mult B,(B mult C) mult A)) <->
% ld(A mult B,C) mult ld(ld(A mult B,A),unit)
% Rule [33]
% ld(A mult B,(A mult C) mult B) <->
% ld(A mult B,B mult C) mult ld(ld(A mult B,ld(A,op_b) mult B),ld(
% A mult B,
% op_b mult B)) is composed into
% [33]
% ld(A mult B,(A mult C) mult B) <->
% ld(A mult B,B mult C) mult ld(ld(A mult B,B),unit)
% New rule produced :
% [226]
% ld(ld(A mult B,ld(A,op_b) mult B),ld(A mult B,op_b mult B)) ->
% ld(ld(A mult B,B),unit)
% Current number of equations to process: 4652
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [227] ld(ld(A mult B,B mult B),B) -> ld(ld(A mult B,B),unit)
% Current number of equations to process: 4651
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [228]
% ld(ld(A,B mult C),ld(A,(ld(B,A) mult C) mult B)) ->
% ld(ld(A,ld(ld(B,A),op_b) mult B),ld(A,op_b mult B))
% Current number of equations to process: 4650
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [229]
% ld(ld(ld(A mult B,B),unit),ld(A mult B,(A mult C) mult B)) ->
% ld(A mult B,B mult C)
% Current number of equations to process: 4671
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [230] ld(ld(A mult A,A),unit) -> A
% Current number of equations to process: 4717
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [231] ld(ld(A mult B,(A mult A) mult A),A mult A) -> ld(ld(A mult B,A),unit)
% Current number of equations to process: 4755
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [232]
% ld(A mult B,((A mult B) mult A) mult B) -> ld(ld(A mult B,B),unit) mult B
% Current number of equations to process: 4834
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [233]
% ld(B,(A mult A) mult ld(A,B)) <-> ld(ld(A,B),ld(B,(A mult B) mult ld(A,B)))
% Current number of equations to process: 4833
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [234]
% ld(ld(A,B),ld(B,(A mult B) mult ld(A,B))) <-> ld(B,(A mult A) mult ld(A,B))
% Current number of equations to process: 4833
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [235] ((A mult A) mult ld(A,unit)) mult ld(A,unit) -> unit
% Current number of equations to process: 4841
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [236] ld(ld(A,unit) mult B,(A mult B) mult ld(A,unit)) -> A
% Current number of equations to process: 2980
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [237]
% ld(ld(A mult B,A),ld(A mult B,((B mult C) mult ld(B,unit)) mult A)) ->
% ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 2982
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [238]
% ld(A mult B,(ld(ld(B,unit),C) mult B) mult A) mult ld(A mult B,A) ->
% ld(A mult B,(B mult C) mult A)
% Current number of equations to process: 2980
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [239]
% (ld(A mult B,(B mult C) mult A) mult ld(A mult B,A)) mult (A mult B) ->
% ((B mult C) mult ld(B,unit)) mult A
% Current number of equations to process: 2980
% Current number of ordered equations: 0
% Current number of rules: 201
% Rule [130]
% (A mult A) mult ld(A mult B,(B mult C) mult A) <->
% ld(A mult B,(((A mult A) mult C) mult B) mult A) is composed into
% [130]
% (A mult A) mult ld(A mult B,(B mult C) mult A) <->
% ld(A mult B,(A mult A) mult (A mult C)) mult ld(ld(A mult B,A),unit)
% New rule produced :
% [240]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) ->
% ld(A mult B,(A mult A) mult (A mult C)) mult ld(ld(A mult B,A),unit)
% Rule
% [131]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) <->
% (A mult A) mult ld(A mult B,(B mult C) mult A) collapsed.
% Rule
% [167]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) mult A ->
% ld(A mult B,(((A mult A) mult (A mult C)) mult B) mult A) collapsed.
% Rule
% [193]
% ld(A mult B,((((A mult A) mult A) mult (A mult A)) mult B) mult A) ->
% ((A mult A) mult A) mult (A mult A) collapsed.
% Current number of equations to process: 2981
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [241]
% ld(ld(A,B),ld(C,(ld(ld(A,B),C) mult B) mult ld(A,B))) <->
% ld(C,(ld(ld(A,B),C) mult A) mult ld(A,B))
% Current number of equations to process: 2980
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [242]
% ld(C,(ld(ld(A,B),C) mult A) mult ld(A,B)) <->
% ld(ld(A,B),ld(C,(ld(ld(A,B),C) mult B) mult ld(A,B)))
% Current number of equations to process: 2980
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [243]
% ld(A,ld(B,(((A mult A) mult (A mult C)) mult ld(A,B)) mult A)) ->
% ld(B,(((A mult A) mult C) mult ld(A,B)) mult A)
% Current number of equations to process: 2979
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [244]
% ld((A mult B) mult A,((ld(A,C) mult B) mult A) mult A) mult A ->
% ld((A mult B) mult A,((B mult C) mult A) mult A)
% Current number of equations to process: 2978
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [245]
% ld(A,ld((A mult B) mult A,(((A mult C) mult B) mult A) mult A)) ->
% ld((A mult B) mult A,((B mult C) mult A) mult A)
% Current number of equations to process: 2977
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [246]
% ld(A mult B,((((ld(A,C) mult B) mult B) mult B) mult A) mult B) ->
% ((ld(A mult B,B mult C) mult B) mult B) mult B
% Current number of equations to process: 2976
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [247]
% ld(A,ld(ld(C,A),B) mult C) mult ld(C,ld(A,(ld(C,A) mult A) mult C)) ->
% ld(A,B mult C)
% Current number of equations to process: 2975
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [248]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld((B mult B) mult A,C) mult A,
% A mult C))) -> (false)
% Current number of equations to process: 3241
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [249] ld(A,ld(ld((A mult A) mult A,B) mult A,A mult B)) -> A mult A
% Current number of equations to process: 3316
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [250]
% ld(ld(ld(A,B),unit) mult A,A) mult A <->
% ld(ld(ld(A,B),unit) mult A,(ld(ld(A,B),unit) mult B) mult A)
% Current number of equations to process: 3834
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [251]
% ld(ld(ld(A,B),unit) mult A,(ld(ld(A,B),unit) mult B) mult A) <->
% ld(ld(ld(A,B),unit) mult A,A) mult A
% Current number of equations to process: 3834
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [252] ld(ld(ld(A,unit),B) mult A,A mult B) mult A -> unit
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [253]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,B mult B),C) mult A,
% A mult C) mult A) -> (false)
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [254]
% ld(A mult B,(((ld(B,A) mult C) mult B) mult B) mult A) ->
% ld(A mult B,((B mult C) mult ld(B,A)) mult B) mult A
% Current number of equations to process: 4171
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [255]
% ld(ld(ld(A,unit) mult B,B) mult B,((A mult B) mult ld(A,unit)) mult B) ->
% ld(A,unit) mult B
% Current number of equations to process: 4230
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [256]
% ((A mult B) mult C) mult ld(C,unit) <->
% ((A mult C) mult ld(C,unit)) mult ((B mult C) mult ld(C,unit))
% Current number of equations to process: 4406
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [257]
% ((A mult C) mult ld(C,unit)) mult ((B mult C) mult ld(C,unit)) <->
% ((A mult B) mult C) mult ld(C,unit)
% Current number of equations to process: 4406
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [258]
% ((ld(ld(A,C),B) mult A) mult ld(A,unit)) mult (ld(A,unit) mult C) ->
% (A mult B) mult ld(A,unit)
% Current number of equations to process: 4405
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [259]
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C)) <->
% (ld(A,C) mult B) mult A
% Current number of equations to process: 4404
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [260]
% (ld(A,C) mult B) mult A <->
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C))
% Current number of equations to process: 4404
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [261]
% ((ld(ld(A,unit),B) mult C) mult A) mult ld(A,unit) ->
% ((A mult C) mult ld(A,unit)) mult (A mult B)
% Current number of equations to process: 4428
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [262]
% ((A mult A) mult B) mult ld(A,unit) <->
% (((A mult A) mult A) mult ld(A,unit)) mult (ld(A,unit) mult B)
% Rule
% [123]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(((A mult A) mult A) mult
% (A mult A)) mult ld(A,unit)) ->
% (false) collapsed.
% Current number of equations to process: 4511
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [263]
% (((A mult A) mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) <->
% ((A mult A) mult B) mult ld(A,unit)
% Current number of equations to process: 4511
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [264]
% (((ld(A,C) mult B) mult A) mult A) mult ld(A,unit) ->
% (((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C)) mult A
% Current number of equations to process: 4611
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [265]
% ld(A,(ld(B,unit) mult C) mult ld(B,A)) <->
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A))
% Current number of equations to process: 4620
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [266]
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,A)) <->
% ld(A,(ld(B,unit) mult C) mult ld(B,A))
% Rule
% [104]
% ld(A,(B mult C) mult ld(B,A)) mult ld(A,ld(B,A)) <->
% ld(A,((B mult C) mult ld(B,unit)) mult ld(B,A)) collapsed.
% Current number of equations to process: 4620
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [267]
% ld((ld(A,B) mult C) mult A,((A mult C) mult ld(A,unit)) mult (ld(A,unit) mult B))
% -> ld(A,unit)
% Current number of equations to process: 4623
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [268]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult C) mult
% ld(C,ld(D,A))) mult D)) ->
% (false)
% Current number of equations to process: 4957
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [269]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,ld(ld(C mult C,D),B) mult D) mult
% ld(V_4,A)) mult V_4)) ->
% (false)
% Current number of equations to process: 4956
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [270]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((((B mult B) mult C) mult
% ld(C,unit)) mult ld(D,A)) mult D))
% -> (false)
% Current number of equations to process: 4963
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [271]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult C) mult
% ld(C,D)) mult ld(D,A))) ->
% (false)
% Current number of equations to process: 1657
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [272]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,ld(ld(C mult C,D),B) mult D) mult V_4) mult
% ld(V_4,A))) -> (false)
% Current number of equations to process: 1656
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [273]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((((B mult B) mult C) mult
% ld(C,unit)) mult D) mult
% ld(D,A))) -> (false)
% Current number of equations to process: 1663
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [274]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C),D) mult V_4,
% D mult V_4)) -> (false)
% Current number of equations to process: 1743
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [275]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% ld(B,unit),C) mult D,
% C mult D)) -> (false)
% Current number of equations to process: 1751
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [276]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% ld(B,C),D) mult C,D)) ->
% (false)
% Current number of equations to process: 1856
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [277]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C) mult D,V_4) mult D,V_4))
% -> (false)
% Current number of equations to process: 1855
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [278]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((((A mult A) mult B) mult
% ld(B,unit)) mult C,D) mult C,D))
% -> (false)
% Current number of equations to process: 1865
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [279] ld(A,unit) mult ld(A,B) -> ld(A,ld(A,unit) mult B)
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [280] ld(A,(ld(ld(B,A),unit) mult C) mult B) -> ld(A,B mult C) mult ld(A,B)
% Current number of equations to process: 1958
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [281]
% ld(A mult B,((A mult B) mult ld(A,unit)) mult B) -> ld(A mult B,B) mult B
% Current number of equations to process: 1957
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [282]
% ld(A mult B,A) mult ld(A mult B,A) ->
% ld(ld(ld(A mult B,A),unit),ld(A mult B,A))
% Current number of equations to process: 1956
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [283]
% ld(A mult B,(ld(A,C) mult ld(B,unit)) mult A) ->
% ld(A mult B,A) mult ld(A mult B,C)
% Current number of equations to process: 1955
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [284]
% ld(ld(A mult B,B),ld(A mult B,(ld(A,unit) mult C) mult B)) ->
% ld(A mult B,B mult C)
% Rule
% [237]
% ld(ld(A mult B,A),ld(A mult B,((B mult C) mult ld(B,unit)) mult A)) ->
% ld(A mult B,(B mult C) mult A) collapsed.
% Current number of equations to process: 1954
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [285]
% ld(ld(A mult B,B mult C),ld(A mult B,(ld(A,unit) mult C) mult B)) ->
% ld(A mult B,B)
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [286]
% ld(C,((B mult C) mult ld(A mult C,C)) mult (A mult C)) ->
% (ld(A,unit) mult B) mult (A mult C)
% Rule
% [114]
% ld(C,(((A mult B) mult C) mult ld(A mult C,C)) mult (A mult C)) ->
% ((A mult B) mult ld(A,unit)) mult (A mult C) collapsed.
% Current number of equations to process: 2008
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [287]
% ld(A mult C,ld(C,(ld(A mult C,C) mult C) mult (A mult C))) mult B ->
% ld(A,unit) mult B
% Current number of equations to process: 2177
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [288]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((B mult B) mult A) mult C) mult
% ld(C,unit)) -> (false)
% Current number of equations to process: 2236
% Current number of ordered equations: 0
% Current number of rules: 243
% Rule [234]
% ld(ld(A,B),ld(B,(A mult B) mult ld(A,B))) <->
% ld(B,(A mult A) mult ld(A,B)) is composed into [234]
% ld(ld(A,B),ld(B,(A mult B) mult
% ld(A,B)))
% <->
% ld(B,ld(A,(A mult A) mult B))
% Rule [217]
% ld(ld(A,ld(B,A) mult C),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,(B mult B) mult ld(B,A)) is composed into [217]
% ld(ld(A,ld(B,A) mult C),
% ld(A,(B mult C) mult
% ld(B,A))) <->
% ld(A,ld(B,(B mult B) mult A))
% Rule [214]
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,C) is composed into [214]
% ld(ld(B,A),
% ld(A,
% (B mult C) mult
% ld(B,A)))
% <->
% ld(A,
% ld(B,
% (B mult B) mult A)) mult
% ld(A,C)
% New rule produced : [289] (A mult A) mult ld(A,B) -> ld(A,(A mult A) mult B)
% Rule
% [79]
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,ld(B,A) mult C) ->
% ld(A,(B mult C) mult ld(B,A)) collapsed.
% Rule
% [92]
% ld(A,B) mult ld(B,(A mult A) mult ld(A,B)) -> ld(B,(A mult B) mult ld(A,B))
% collapsed.
% Rule
% [215]
% ld(A,(B mult B) mult ld(B,A)) mult ld(A,C) <->
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A))) collapsed.
% Rule
% [216]
% ld(A,(B mult B) mult ld(B,A)) <->
% ld(ld(A,ld(B,A) mult C),ld(A,(B mult C) mult ld(B,A))) collapsed.
% Rule
% [219]
% ld(ld(A,(B mult B) mult ld(B,A)),ld(A,(B mult C) mult ld(B,A))) ->
% ld(A,ld(B,A) mult C) collapsed.
% Rule
% [220]
% ((A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) ->
% (A mult B) mult ld(A,unit) collapsed.
% Rule
% [233]
% ld(B,(A mult A) mult ld(A,B)) <-> ld(ld(A,B),ld(B,(A mult B) mult ld(A,B)))
% collapsed.
% Rule [235] ((A mult A) mult ld(A,unit)) mult ld(A,unit) -> unit collapsed.
% Current number of equations to process: 2278
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [290]
% ld(A,B) mult ld(B,ld(A,(A mult A) mult B)) -> ld(B,(A mult B) mult ld(A,B))
% Current number of equations to process: 2277
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [291]
% ld(ld(A,B),(ld(A,B) mult ld(A,B)) mult B) <-> (ld(A,B) mult ld(A,B)) mult A
% Current number of equations to process: 2275
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [292]
% (ld(A,B) mult ld(A,B)) mult A <-> ld(ld(A,B),(ld(A,B) mult ld(A,B)) mult B)
% Current number of equations to process: 2275
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [293]
% ld(A,((A mult A) mult (A mult B)) mult (A mult A)) ->
% ((A mult A) mult B) mult (A mult A)
% Current number of equations to process: 2360
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [294]
% (((A mult A) mult A) mult B) mult (A mult A) ->
% ((A mult A) mult A) mult ((A mult A) mult B)
% Rule
% [135]
% (((A mult A) mult A) mult (A mult A)) mult (A mult A) ->
% ((A mult A) mult (A mult A)) mult ((A mult A) mult A) collapsed.
% Current number of equations to process: 2391
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced :
% [295]
% ((A mult A) mult (A mult A)) mult (A mult A) ->
% ((A mult A) mult A) mult ((A mult A) mult A)
% Current number of equations to process: 2391
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [296] ld(ld((A mult A) mult A,A mult A),unit) -> A
% Current number of equations to process: 2392
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced : [297] ld((A mult A) mult A,A) mult A -> ld(A mult A,A)
% Current number of equations to process: 2440
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [298] ld((A mult A) mult (A mult A),(A mult A) mult A) -> ld(A mult A,A)
% Current number of equations to process: 2439
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced : [299] ld((A mult A) mult A,A mult A) mult A -> unit
% Current number of equations to process: 2470
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [300] ld(A,((A mult A) mult A) mult (A mult B)) -> ((A mult A) mult A) mult B
% Current number of equations to process: 2480
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [301] ((A mult A) mult A) mult (ld((A mult A) mult A,B) mult A) -> A mult B
% Current number of equations to process: 2479
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [302] ld(((A mult A) mult A) mult B,((A mult A) mult A) mult (A mult B)) -> A
% Current number of equations to process: 2478
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [303]
% ld(ld(((A mult A) mult A) mult (A mult A),(A mult A) mult A),unit) ->
% A mult A
% Current number of equations to process: 2477
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [304]
% ld(ld((A mult A) mult B,(A mult A) mult A),A) ->
% ld(ld((A mult A) mult B,A mult A),unit)
% Current number of equations to process: 2476
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced : [305] ld(A,ld(A mult A,A mult B)) -> ld(A mult A,B)
% Rule [145] ld(A,ld(A mult A,(A mult B) mult A)) -> ld(A mult A,A mult B)
% collapsed.
% Current number of equations to process: 2726
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced : [306] ld(ld(A mult A,B),ld(A mult A,A mult B)) -> A
% Current number of equations to process: 2725
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [307] ld(A mult B,(A mult A) mult A) mult ld(ld(A mult B,A),unit) -> A mult A
% Current number of equations to process: 2961
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [308]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult (A mult A),
% (A mult A) mult B),B)) ->
% (false)
% Current number of equations to process: 2960
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [309]
% ld(A,ld(B,(ld(A,B) mult C) mult A)) mult B -> (ld(A,B) mult ld(A,C)) mult A
% Current number of equations to process: 2967
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [310]
% ld((A mult A) mult A,(A mult A) mult B) mult A ->
% ld((A mult A) mult A,(A mult A) mult (A mult B))
% Rule
% [166]
% ld((A mult A) mult A,(A mult A) mult (A mult B)) mult A ->
% ld((A mult A) mult A,((A mult B) mult A) mult (A mult A)) collapsed.
% Current number of equations to process: 2963
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [311]
% ((((A mult A) mult A) mult (A mult A)) mult B) mult A ->
% (((A mult A) mult A) mult (A mult A)) mult (A mult B)
% Current number of equations to process: 2962
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [312]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B mult C,((D mult D) mult C) mult B),unit),A)))
% -> (false)
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [313]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B,((C mult C) mult D) mult
% ld(D,B)),unit),A)))
% -> (false)
% Current number of equations to process: 3080
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [314]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A),D),unit) mult D)
% -> (false)
% Current number of equations to process: 3078
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [315]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)),D),unit) mult D)
% -> (false)
% Current number of equations to process: 3076
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [316]
% ld((ld(A,B) mult ld(A,B)) mult A,(ld(A,B) mult ld(A,B)) mult B) -> ld(A,B)
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [317]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(((A mult A) mult (A mult A)) mult
% ((A mult A) mult A)) mult
% ld(A,unit)) -> (false)
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [318]
% ld(A,((A mult A) mult (A mult B)) mult ((A mult A) mult A)) ->
% ((A mult A) mult A) mult ((A mult A) mult B)
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [319]
% ld(A,B) mult ld(C,ld(A,(ld(C,A) mult A) mult C)) <->
% ld(C,ld(A,(ld(C,A) mult B) mult C))
% Rule [208] ld(A,B) mult ld(B,ld(A,(ld(B,A) mult A) mult B)) -> unit
% collapsed.
% Rule [209] ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,A mult A) -> A
% collapsed.
% Current number of equations to process: 3071
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [320]
% ld(C,ld(A,(ld(C,A) mult B) mult C)) <->
% ld(A,B) mult ld(C,ld(A,(ld(C,A) mult A) mult C))
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [321]
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,(B mult B) mult A)) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 3070
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [322]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,((A mult A) mult A) mult
% ((A mult A) mult A)))
% -> (false)
% Current number of equations to process: 3093
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [323]
% ld(((A mult A) mult B) mult (A mult A),((A mult A) mult (A mult B)) mult
% (A mult A)) -> A
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [324]
% ld((A mult A) mult B,A) mult ld(ld((A mult A) mult B,A mult A),unit) ->
% ld(A mult A,A)
% Current number of equations to process: 3222
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [325]
% ld(A mult A,ld((A mult A) mult ld((A mult A) mult A,B),(A mult A) mult B)) ->
% A
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [326]
% ld(A mult B,(A mult A) mult (A mult A)) mult ld(ld(A mult B,A),unit) ->
% (A mult A) mult A
% Current number of equations to process: 3220
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [327]
% ld(A mult A,ld((A mult A) mult A,(A mult A) mult (A mult B))) ->
% ld((A mult A) mult A,A mult B)
% Current number of equations to process: 3219
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [328]
% ld(ld(A,ld(B,(ld(A,B) mult C) mult A)),(ld(A,B) mult ld(A,C)) mult A) -> B
% Current number of equations to process: 3218
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [329]
% (A mult A) mult ld(B,(ld(A,B) mult C) mult A) ->
% ld(ld(B,A),unit) mult ld(B,(A mult A) mult (A mult C))
% Current number of equations to process: 3217
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [330]
% ld(A,B) mult ld(B,((A mult A) mult A) mult ld(A,B)) ->
% ld(B,((A mult A) mult B) mult ld(A,B))
% Current number of equations to process: 3610
% Current number of ordered equations: 0
% Current number of rules: 272
% Rule [132]
% ld(A mult B,((B mult B) mult B) mult A) mult A <->
% ld(A mult B,((A mult B) mult (B mult B)) mult A) is composed into
% [132]
% ld(A mult B,((B mult B) mult B) mult A) mult A ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) mult A
% New rule produced :
% [331]
% ld(A mult B,((A mult B) mult (B mult B)) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) mult A
% Rule
% [133]
% ld(A mult B,((A mult B) mult (B mult B)) mult A) <->
% ld(A mult B,((B mult B) mult B) mult A) mult A collapsed.
% Rule
% [142]
% ld(A,ld(A mult B,((A mult B) mult (B mult B)) mult A)) ->
% ld(A mult B,((B mult B) mult B) mult A) collapsed.
% Rule
% [210]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(A mult C,(
% (A mult C) mult
% (C mult C)) mult A) mult B))
% -> (false) collapsed.
% Current number of equations to process: 3899
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [332] (A mult A) mult ld((A mult A) mult A,A) -> unit
% Current number of equations to process: 3906
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [333]
% (A mult A) mult ld((A mult A) mult A,B) ->
% ld((A mult A) mult A,(A mult A) mult B)
% Rule
% [134]
% (A mult A) mult ld((A mult A) mult A,A mult B) ->
% ld((A mult A) mult A,(A mult A) mult (A mult B)) collapsed.
% Rule
% [325]
% ld(A mult A,ld((A mult A) mult ld((A mult A) mult A,B),(A mult A) mult B)) ->
% A collapsed.
% Rule [332] (A mult A) mult ld((A mult A) mult A,A) -> unit collapsed.
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [334]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(((A mult A) mult B) mult C) mult
% ld(B mult C,unit)) -> (false)
% Current number of equations to process: 3917
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [335]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A,((B mult B) mult ld(C,A)) mult C) mult D) mult
% ld(D,unit)) -> (false)
% Current number of equations to process: 3914
% Current number of ordered equations: 2
% Current number of rules: 271
% New rule produced :
% [336]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(ld(A mult A,B) mult C,
% B mult C) mult D) mult ld(D,unit))
% -> (false)
% Current number of equations to process: 3914
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [337]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(ld((A mult A) mult B,C) mult B,C) mult D) mult
% ld(D,unit)) -> (false)
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [338]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((C mult C) mult A) mult B) mult A) mult
% ld(A,unit)) -> (false)
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [339]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(((A mult A) mult B) mult
% ld(B,C)) mult ld(C,unit)) ->
% (false)
% Current number of equations to process: 4033
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [340]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A,ld(ld(B mult B,C),A) mult C) mult D) mult
% ld(D,unit)) -> (false)
% Current number of equations to process: 4032
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [341]
% (eq)((op_b mult op_b) mult (op_a mult op_a),((((A mult A) mult B) mult
% ld(B,unit)) mult C) mult
% ld(C,unit)) -> (false)
% Current number of equations to process: 4037
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [342]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult
% ld(C,A)) mult C),unit) mult D,D))
% -> (false)
% Current number of equations to process: 4102
% Current number of ordered equations: 2
% Current number of rules: 278
% New rule produced :
% [343]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C),unit) mult D,D))
% -> (false)
% Current number of equations to process: 4102
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [344]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C),unit) mult D,D))
% -> (false)
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [345]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C),unit) mult D,D))
% -> (false)
% Current number of equations to process: 4206
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [346]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% ld(B,unit),unit) mult C,C))
% -> (false)
% Current number of equations to process: 4211
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [347] ((A mult A) mult (A mult A)) mult ld(A,unit) -> (A mult A) mult A
% Current number of equations to process: 4265
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [348] ld(A,(A mult B) mult ld(A,unit)) -> ld(A,unit) mult B
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [349] (ld(ld(A,unit),B) mult A) mult ld(A,unit) -> A mult B
% Current number of equations to process: 4286
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [350] ld(A mult B,unit) mult ld(ld(A mult B,A),unit) -> ld(A,unit)
% Current number of equations to process: 4353
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [351]
% (ld(A mult B,B) mult B) mult (A mult B) ->
% ((A mult B) mult ld(A,unit)) mult B
% Rule
% [171]
% (ld(ld(A,unit) mult B,B) mult B) mult (ld(A,unit) mult B) ->
% ((A mult B) mult ld(A,unit)) mult B collapsed.
% Rule
% [287]
% ld(A mult C,ld(C,(ld(A mult C,C) mult C) mult (A mult C))) mult B ->
% ld(A,unit) mult B collapsed.
% Current number of equations to process: 4369
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [352] ld(ld(ld(A,ld(A,unit)),B) mult A,A mult B) mult A -> ld(A,unit)
% Current number of equations to process: 4466
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced : [353] ((A mult A) mult A) mult ld(A mult A,unit) -> A
% Current number of equations to process: 4486
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [354]
% ld(A,((A mult B) mult ld(A,unit)) mult (A mult A)) ->
% (ld(A,unit) mult B) mult (A mult A)
% Current number of equations to process: 4513
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [355]
% ((ld(A mult A,unit) mult B) mult A) mult (A mult A) ->
% (((A mult A) mult B) mult ld(A mult A,unit)) mult A
% Current number of equations to process: 4512
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [356]
% (ld(B,ld(A,C)) mult A) mult B -> (A mult B) mult ld(B,ld(A mult B,B mult C))
% Current number of equations to process: 4553
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [357]
% ld(ld(A,B),ld(B,(A mult C) mult ld(A,B))) mult B <->
% (ld(ld(A,B),C) mult A) mult ld(A,B)
% Current number of equations to process: 4552
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [358]
% (ld(ld(A,B),C) mult A) mult ld(A,B) <->
% ld(ld(A,B),ld(B,(A mult C) mult ld(A,B))) mult B
% Current number of equations to process: 4552
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [359]
% (ld(A mult B,C) mult ld(ld(A mult B,A),unit)) mult (A mult B) ->
% (ld(A,C) mult B) mult A
% Current number of equations to process: 4786
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced : [360] ((A mult A) mult A) mult ld(A mult A,A) -> A mult A
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [361]
% (ld(A mult A,A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(A mult A,A)
% Current number of equations to process: 4846
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [362]
% 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: 4914
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [363]
% (ld(A mult C,B mult C) mult ld(A mult C,C)) mult (A mult C) ->
% (ld(A,unit) mult B) mult C
% Rule
% [239]
% (ld(A mult B,(B mult C) mult A) mult ld(A mult B,A)) mult (A mult B) ->
% ((B mult C) mult ld(B,unit)) mult A collapsed.
% Current number of equations to process: 4913
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [364]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(((A mult A) mult B) mult
% ld(B,ld(C,unit))) mult C) ->
% (false)
% Current number of equations to process: 1608
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [365]
% ld((ld(A,unit) mult B) mult (A mult A),((A mult B) mult ld(A,unit)) mult
% (A mult A)) -> A
% Current number of equations to process: 1633
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [366]
% (ld(A,B) mult ld(C,A)) mult C ->
% (ld(A,B) mult C) mult ld(C,ld(ld(A,B) mult C,B mult C))
% Current number of equations to process: 1632
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [367]
% (A mult B) mult ld(A,ld(A,ld(A mult B,(B mult C) mult A))) <->
% (ld(A,ld(A,C)) mult B) mult A
% Current number of equations to process: 1631
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [368]
% (ld(A,ld(A,C)) mult B) mult A <->
% (A mult B) mult ld(A,ld(A,ld(A mult B,(B mult C) mult A)))
% Current number of equations to process: 1631
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [369]
% ld(ld(A,B) mult C,(A mult C) mult ld(A,ld(A mult C,(B mult C) mult A))) -> A
% Current number of equations to process: 1630
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [370]
% (((A mult A) mult B) mult C) mult A <->
% ((A mult A) mult ld(A mult C,(B mult C) mult A)) mult (A mult C)
% Current number of equations to process: 1629
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [371]
% ((A mult A) mult ld(A mult C,(B mult C) mult A)) mult (A mult C) <->
% (((A mult A) mult B) mult C) mult A
% Current number of equations to process: 1629
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [372]
% ld(A,(ld(B,A mult C) mult A) mult B) <-> (ld(ld(A,B),C) mult A) mult ld(A,B)
% Current number of equations to process: 1766
% Current number of ordered equations: 1
% Current number of rules: 305
% New rule produced :
% [373]
% (ld(ld(A,B),C) mult A) mult ld(A,B) <-> ld(A,(ld(B,A mult C) mult A) mult B)
% Current number of equations to process: 1766
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [374]
% ld(A,(ld(A mult B,C) mult A) mult (A mult B)) ->
% (A mult B) mult ld(B,ld(A mult B,B mult C))
% Rule
% [149]
% ld(A,(ld(A mult B,A mult C) mult A) mult (A mult B)) ->
% (ld(B,C) mult A) mult B collapsed.
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 306
% Rule [347] ((A mult A) mult (A mult A)) mult ld(A,unit) -> (A mult A) mult A is composed into
% [347]
% ((A mult A) mult (A mult A)) mult ld(A,unit) -> ld(ld(A mult A,A),A mult A)
% Rule [326]
% ld(A mult B,(A mult A) mult (A mult A)) mult ld(ld(A mult B,A),unit) ->
% (A mult A) mult A is composed into [326]
% ld(A mult B,(A mult A) mult (A mult A)) mult
% ld(ld(A mult B,A),unit) ->
% ld(ld(A mult A,A),A mult A)
% Rule [262]
% ((A mult A) mult B) mult ld(A,unit) <->
% (((A mult A) mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) is composed into
% [262]
% ((A mult A) mult B) mult ld(A,unit) <->
% (ld(ld(A mult A,A),A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B)
% New rule produced : [375] (A mult A) mult A -> ld(ld(A mult A,A),A mult A)
% Rule
% [120]
% (((A mult A) mult A) mult B) mult A -> ((A mult A) mult A) mult (A mult B)
% collapsed.
% Rule
% [126]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult A) mult
% (A mult A),B) mult A,B)) ->
% (false) collapsed.
% Rule
% [127]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((B mult B) mult B) mult
% (B mult B)) mult A))
% -> (false) collapsed.
% Rule
% [128]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult B) mult
% (B mult B)) mult ld(B,A)))
% -> (false) collapsed.
% Rule
% [132]
% ld(A mult B,((B mult B) mult B) mult A) mult A ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) mult A collapsed.
% Rule
% [151]
% ld(A,ld((A mult A) mult A,(A mult A) mult (A mult B))) ->
% ld((A mult A) mult A,(A mult A) mult B) collapsed.
% Rule
% [155]
% ld(A mult B,((B mult B) mult B) mult A) mult ld(A mult B,A) ->
% ld(ld(A mult B,A),unit) collapsed.
% Rule
% [198]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult C,((((A mult A) mult A) mult
% (A mult A)) mult B) mult C))
% -> (false) collapsed.
% Rule
% [212]
% ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,(A mult A) mult A) -> A mult A
% collapsed.
% Rule
% [223]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult A,((B mult B) mult A) mult A) mult A)
% -> (false) collapsed.
% Rule
% [231] ld(ld(A mult B,(A mult A) mult A),A mult A) -> ld(ld(A mult B,A),unit)
% collapsed.
% Rule [249] ld(A,ld(ld((A mult A) mult A,B) mult A,A mult B)) -> A mult A
% collapsed.
% Rule
% [263]
% (((A mult A) mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) <->
% ((A mult A) mult B) mult ld(A,unit) collapsed.
% Rule
% [294]
% (((A mult A) mult A) mult B) mult (A mult A) ->
% ((A mult A) mult A) mult ((A mult A) mult B) collapsed.
% Rule
% [295]
% ((A mult A) mult (A mult A)) mult (A mult A) ->
% ((A mult A) mult A) mult ((A mult A) mult A) collapsed.
% Rule [296] ld(ld((A mult A) mult A,A mult A),unit) -> A collapsed.
% Rule [297] ld((A mult A) mult A,A) mult A -> ld(A mult A,A) collapsed.
% Rule [298] ld((A mult A) mult (A mult A),(A mult A) mult A) -> ld(A mult A,A)
% collapsed.
% Rule [299] ld((A mult A) mult A,A mult A) mult A -> unit collapsed.
% Rule
% [300] ld(A,((A mult A) mult A) mult (A mult B)) -> ((A mult A) mult A) mult B
% collapsed.
% Rule
% [301] ((A mult A) mult A) mult (ld((A mult A) mult A,B) mult A) -> A mult B
% collapsed.
% Rule
% [302] ld(((A mult A) mult A) mult B,((A mult A) mult A) mult (A mult B)) -> A
% collapsed.
% Rule
% [303]
% ld(ld(((A mult A) mult A) mult (A mult A),(A mult A) mult A),unit) ->
% A mult A collapsed.
% Rule
% [304]
% ld(ld((A mult A) mult B,(A mult A) mult A),A) ->
% ld(ld((A mult A) mult B,A mult A),unit) collapsed.
% Rule
% [307] ld(A mult B,(A mult A) mult A) mult ld(ld(A mult B,A),unit) -> A mult A
% collapsed.
% Rule
% [310]
% ld((A mult A) mult A,(A mult A) mult B) mult A ->
% ld((A mult A) mult A,(A mult A) mult (A mult B)) collapsed.
% Rule
% [311]
% ((((A mult A) mult A) mult (A mult A)) mult B) mult A ->
% (((A mult A) mult A) mult (A mult A)) mult (A mult B) collapsed.
% Rule
% [317]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(((A mult A) mult (A mult A)) mult
% ((A mult A) mult A)) mult
% ld(A,unit)) -> (false) collapsed.
% Rule
% [318]
% ld(A,((A mult A) mult (A mult B)) mult ((A mult A) mult A)) ->
% ((A mult A) mult A) mult ((A mult A) mult B) collapsed.
% Rule
% [322]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,((A mult A) mult A) mult
% ((A mult A) mult A)))
% -> (false) collapsed.
% Rule
% [327]
% ld(A mult A,ld((A mult A) mult A,(A mult A) mult (A mult B))) ->
% ld((A mult A) mult A,A mult B) collapsed.
% Rule
% [330]
% ld(A,B) mult ld(B,((A mult A) mult A) mult ld(A,B)) ->
% ld(B,((A mult A) mult B) mult ld(A,B)) collapsed.
% Rule
% [333]
% (A mult A) mult ld((A mult A) mult A,B) ->
% ld((A mult A) mult A,(A mult A) mult B) collapsed.
% Rule [353] ((A mult A) mult A) mult ld(A mult A,unit) -> A collapsed.
% Rule [360] ((A mult A) mult A) mult ld(A mult A,A) -> A mult A collapsed.
% Current number of equations to process: 1972
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [376] ld(ld(ld(A mult A,A),A mult A),A) mult A -> ld(A mult A,A)
% Current number of equations to process: 1977
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [377] ld(A mult A,unit) mult ld(ld(A mult A,A),A mult A) -> A
% Current number of equations to process: 1976
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [378]
% (ld(ld(A mult A,A),A mult A) mult B) mult A ->
% (A mult B) mult ld(ld(A mult A,A),A mult A)
% Current number of equations to process: 1977
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [379]
% ld((A mult A) mult (A mult A),ld(ld(A mult A,A),A mult A)) -> ld(A mult A,A)
% Current number of equations to process: 1976
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [380]
% ld(ld(A mult B,ld(ld(A mult A,A),A mult A)),A mult A) ->
% ld(ld(A mult B,A),unit)
% Current number of equations to process: 2001
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [381] ld(A,ld(ld(ld(ld(A mult A,A),A mult A),B) mult A,A mult B)) -> A mult A
% Current number of equations to process: 2000
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [382]
% ld(A,(A mult B) mult ld(ld(A mult A,A),A mult A)) ->
% ld(ld(A mult A,A),A mult A) mult B
% Current number of equations to process: 1999
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [383]
% ld(A mult B,ld(ld(A,unit),C) mult B) mult ld(A mult B,B) ->
% ld(A mult B,B mult C)
% Current number of equations to process: 2016
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [384]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult ld(
% ld(
% A mult A,A),
% A mult A),B) mult A,B))
% -> (false)
% Current number of equations to process: 2015
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [385]
% ld(A mult B,ld(ld(B mult B,B),B mult B) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit))
% Current number of equations to process: 2014
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [386]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,((B mult B) mult
% ld(ld(B mult B,B),
% B mult B)) mult A))
% -> (false)
% Current number of equations to process: 2013
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [387]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((B mult B) mult ld(
% ld(
% B mult B,B),
% B mult B)) mult
% ld(B,A))) -> (false)
% Current number of equations to process: 2012
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [388]
% ld(ld(A,ld(B,(B mult B) mult A)),ld(A,(B mult C) mult ld(B,A))) ->
% ld(A,ld(B,A) mult C)
% Current number of equations to process: 2011
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [389]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult A,A),A mult A),
% ((B mult B) mult A) mult A) mult A)
% -> (false)
% Current number of equations to process: 2010
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [390]
% ld((A mult A) mult B,((A mult C) mult B) mult (A mult A)) <->
% ld((A mult A) mult B,(A mult A) mult (B mult C)) mult A
% Current number of equations to process: 2009
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [391]
% ld((A mult A) mult B,(A mult A) mult (B mult C)) mult A <->
% ld((A mult A) mult B,((A mult C) mult B) mult (A mult A))
% Current number of equations to process: 2009
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [392]
% (ld(ld(A mult A,A),A mult A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(ld(A mult A,A),A mult A)
% Current number of equations to process: 2008
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [393]
% ld((A mult A) mult (A mult A),(A mult A) mult B) mult A ->
% ld((A mult A) mult (A mult A),(A mult A) mult (A mult B))
% Current number of equations to process: 2007
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [394]
% (((A mult A) mult ld(ld(A mult A,A),A mult A)) mult B) mult (A mult A) ->
% ((A mult A) mult ld(ld(A mult A,A),A mult A)) mult ((A mult A) mult B)
% Current number of equations to process: 2006
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [395]
% ld(A,ld((A mult A) mult B,((A mult B) mult B) mult (A mult A))) ->
% ld(ld((A mult A) mult B,A mult A),unit)
% Current number of equations to process: 2004
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced :
% [396]
% ld(ld((A mult A) mult B,ld(ld(A mult A,A),A mult A)),A) ->
% ld(ld((A mult A) mult B,A mult A),unit)
% Current number of equations to process: 2004
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [397]
% ld((A mult A) mult B,((A mult B) mult ld(B,unit)) mult (A mult A)) <->
% ld((A mult A) mult B,A mult A) mult A
% Current number of equations to process: 2003
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [398]
% ld((A mult A) mult B,A mult A) mult A <->
% ld((A mult A) mult B,((A mult B) mult ld(B,unit)) mult (A mult A))
% Current number of equations to process: 2003
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [399]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult (A mult A)) mult
% ld(ld(A mult A,A),A mult A),B) mult A,B))
% -> (false)
% Current number of equations to process: 2002
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [400]
% ld(A mult B,(B mult C) mult A) mult ld(ld(A mult A,A),A mult A) <->
% ld(A mult B,((ld(ld(A mult A,A),A mult A) mult C) mult B) mult A)
% Current number of equations to process: 2001
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [401]
% ld(A mult B,((ld(ld(A mult A,A),A mult A) mult C) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult ld(ld(A mult A,A),A mult A)
% Current number of equations to process: 2001
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [402]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((B mult B) mult
% (B mult B)) mult
% ld(ld(B mult B,B),
% B mult B)) mult A))
% -> (false)
% Current number of equations to process: 2000
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [403]
% ld(A mult B,((A mult B) mult ld(ld(B mult B,B),B mult B)) mult A) <->
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A
% Current number of equations to process: 1999
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [404]
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A <->
% ld(A mult B,((A mult B) mult ld(ld(B mult B,B),B mult B)) mult A)
% Current number of equations to process: 1999
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [405]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult (B mult B)) mult
% ld(ld(B mult B,B),B mult B)) mult
% ld(B,A))) -> (false)
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [406]
% ld(A mult B,ld(ld(A mult A,A),A mult A)) mult ld(ld(A mult B,A),unit) ->
% A mult A
% Current number of equations to process: 1997
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [407]
% (ld(ld(A mult A,A),A mult A) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A mult A,A),A mult A)
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [408]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,A mult B),
% ((C mult C) mult ld(A mult A,B)) mult A))
% -> (false)
% Current number of equations to process: 1994
% Current number of ordered equations: 1
% Current number of rules: 305
% New rule produced :
% [409]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,A mult B),
% ((C mult C) mult A) mult
% ld(A mult A,B))) -> (false)
% Current number of equations to process: 1994
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [410]
% ld(A mult B,((ld(B mult B,C) mult A) mult B) mult A) ->
% ld(A mult B,ld(B mult B,B mult C) mult A) mult A
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [411]
% ld(A mult B,(ld(A mult A,C) mult B) mult A) mult A ->
% ld(A mult B,(ld(A mult A,A mult C) mult B) mult A)
% Current number of equations to process: 1992
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [412]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,B) mult ld(
% B mult B,C),
% ld(B mult B,B mult C))) ->
% (false)
% Current number of equations to process: 1990
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [413]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,ld(B mult B,C)) mult B,
% ld(B mult B,B mult C))) ->
% (false)
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [414]
% (ld((A mult A) mult (A mult A),B) mult A) mult (A mult A) ->
% ld((A mult A) mult (A mult A),(A mult A) mult (A mult B))
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [415]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(B,((((C mult C) mult D) mult
% ld(D,A)) mult
% ld(A,B)) mult A))) ->
% (false)
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [416]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult C,B),ld(
% ld(
% B mult C,B),unit)) mult B) mult
% ld(B,A))) -> (false)
% Current number of equations to process: 1987
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [417]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult B,A),ld(
% ld(
% A mult B,A),unit)) mult A,C) mult A,C))
% -> (false)
% Current number of equations to process: 1986
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [418]
% (A mult A) mult ld(ld(ld(A mult A,A),A mult A),B) ->
% ld(ld(ld(A mult A,A),A mult A),(A mult A) mult B)
% Current number of equations to process: 1985
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [419]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(ld(A mult B,A),ld(ld(
% A mult B,A),unit)) mult A) mult
% ld(A,unit)) -> (false)
% Current number of equations to process: 1984
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [420]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult ld(A,unit),
% ((C mult C) mult A) mult
% (ld(A,unit) mult B))) -> (false)
% Current number of equations to process: 1982
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [421]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult ld(A,unit),
% ((ld(A,unit) mult B) mult
% (C mult C)) mult A)) -> (false)
% Current number of equations to process: 1982
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [422]
% ld(A mult B,(((ld(B,unit) mult C) mult A) mult B) mult A) ->
% ld(A mult B,((B mult C) mult ld(B,unit)) mult A) mult A
% Current number of equations to process: 1981
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [423]
% ld(A mult B,((ld(A,unit) mult C) mult B) mult A) mult A ->
% ld(A mult B,(((A mult C) mult ld(A,unit)) mult B) mult A)
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [424]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,ld(B,unit) mult C) mult B,
% (B mult C) mult ld(B,unit))) ->
% (false)
% Current number of equations to process: 1978
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [425]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A,unit) mult B) mult
% ld(C mult C,A),(A mult B) mult
% ld(A,unit))) ->
% (false)
% Current number of equations to process: 1978
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [426]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult ld(B,unit),
% (((C mult C) mult ld(B,unit)) mult A) mult B))
% -> (false)
% Current number of equations to process: 1977
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [427]
% ld(A mult B,(B mult C) mult A) mult A <->
% ld(A mult B,(A mult C) mult A) mult ld(ld(A mult B,A),unit)
% Current number of equations to process: 1976
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [428]
% ld(A mult B,(A mult C) mult A) mult ld(ld(A mult B,A),unit) <->
% ld(A mult B,(B mult C) mult A) mult A
% Current number of equations to process: 1976
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [429]
% ld((A mult B) mult A,((ld(A,C) mult B) mult A) mult A) ->
% ld(A,ld((A mult B) mult A,((B mult C) mult A) mult A))
% Rule
% [244]
% ld((A mult B) mult A,((ld(A,C) mult B) mult A) mult A) mult A ->
% ld((A mult B) mult A,((B mult C) mult A) mult A) collapsed.
% Current number of equations to process: 1975
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [430]
% ld(ld(A mult B,C) mult ld(ld(A mult B,A),unit),(ld(A,C) mult B) mult A) ->
% A mult B
% Current number of equations to process: 1974
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [431]
% ld(A mult B,(ld(B,unit) mult A) mult ld(A,unit)) ->
% ld(A mult B,ld(A mult B,unit) mult A)
% Current number of equations to process: 2089
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [432]
% ld(A mult A,A mult B) mult ld(A mult A,A) ->
% ld(A mult A,(A mult B) mult ld(A,unit))
% Rule
% [154]
% ld(A mult A,(A mult B) mult A) mult ld(A mult A,A) ->
% ld(A mult A,((A mult B) mult A) mult ld(A,unit)) collapsed.
% Current number of equations to process: 2089
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [433]
% ld(ld(A,unit) mult B,(A mult C) mult B) <->
% ld(ld(A,unit) mult B,B mult C) mult ld(ld(A,unit) mult B,B)
% Current number of equations to process: 2136
% Current number of ordered equations: 2
% Current number of rules: 328
% New rule produced :
% [434]
% ld(ld(A,unit) mult B,B mult C) mult ld(ld(A,unit) mult B,B) <->
% ld(ld(A,unit) mult B,(A mult C) mult B)
% Current number of equations to process: 2136
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [435]
% ld(ld(A mult B,B mult C) mult ld(A mult B,B),(ld(A,unit) mult C) mult B) ->
% A mult B
% Current number of equations to process: 2136
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [436]
% ld((ld(ld(A,B),C) mult A) mult ld(A,B),(ld(B,A mult C) mult A) mult B) -> A
% Current number of equations to process: 2473
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [437]
% (eq)((op_b mult op_b) mult (op_a mult op_a),((A mult A) mult B) mult
% ld(((A mult A) mult B) mult B,
% (A mult A) mult B)) -> (false)
% Current number of equations to process: 2472
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [438]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B,((C mult C) mult
% ld(D,B)) mult D),V_4),A) mult V_4))
% -> (false)
% Current number of equations to process: 2709
% Current number of ordered equations: 2
% Current number of rules: 333
% New rule produced :
% [439]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(ld(B mult B,C) mult D,
% C mult D),V_4),A) mult V_4))
% -> (false)
% Current number of equations to process: 2709
% Current number of ordered equations: 1
% Current number of rules: 334
% New rule produced :
% [440]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(ld((B mult B) mult C,D) mult C,D),V_4),A) mult V_4))
% -> (false)
% Current number of equations to process: 2709
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [441]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B,ld(ld(C mult C,D),B) mult D),V_4),A) mult V_4))
% -> (false)
% Current number of equations to process: 2822
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [442]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(((B mult B) mult C) mult
% ld(C,unit),D),A) mult D))
% -> (false)
% Current number of equations to process: 2826
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [443]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult
% ld(C,A)) mult C),D) mult
% ld(D,V_4),V_4)) -> (false)
% Current number of equations to process: 2913
% Current number of ordered equations: 2
% Current number of rules: 338
% New rule produced :
% [444]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C),D) mult ld(D,V_4),V_4))
% -> (false)
% Current number of equations to process: 2913
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [445]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C),D) mult
% ld(D,V_4),V_4)) -> (false)
% Current number of equations to process: 2913
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [446]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C),D) mult
% ld(D,V_4),V_4)) -> (false)
% Current number of equations to process: 3046
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [447]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% ld(B,unit),C) mult
% ld(C,D),D)) -> (false)
% Current number of equations to process: 3052
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [448]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult
% ld(C,A)) mult C),
% ld(D,V_4)) mult D,V_4)) ->
% (false)
% Current number of equations to process: 3156
% Current number of ordered equations: 2
% Current number of rules: 343
% New rule produced :
% [449]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C),ld(D,V_4)) mult D,V_4))
% -> (false)
% Current number of equations to process: 3156
% Current number of ordered equations: 1
% Current number of rules: 344
% New rule produced :
% [450]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C),
% ld(D,V_4)) mult D,V_4)) ->
% (false)
% Current number of equations to process: 3156
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [451]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult A,A),A mult A),
% (((B mult B) mult A) mult A) mult A))
% -> (false)
% Current number of equations to process: 3187
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [452]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C),
% ld(D,V_4)) mult D,V_4)) ->
% (false)
% Current number of equations to process: 3284
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [453]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% ld(B,unit),ld(C,D)) mult C,D))
% -> (false)
% Current number of equations to process: 3290
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [454]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult A,A),A mult A),
% ((B mult B) mult A) mult
% (A mult A))) -> (false)
% Current number of equations to process: 3388
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [455]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,B mult B) mult B,
% ld(ld(B mult B,B),B mult B))) ->
% (false)
% Current number of equations to process: 3743
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [456]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,A),A mult A) mult A)
% -> (false)
% Current number of equations to process: 3747
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [457]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult ld(B mult B,A),
% ld(ld(A mult A,A),A mult A))) ->
% (false)
% Current number of equations to process: 3826
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [458]
% ld(A,((ld(A mult B,A mult C) mult A) mult A) mult (A mult B)) ->
% ((ld(B,C) mult A) mult A) mult B
% Current number of equations to process: 3939
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [459]
% ld(A,((A mult A) mult (A mult A)) mult (A mult B)) ->
% ((A mult A) mult (A mult A)) mult B
% Current number of equations to process: 4372
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [460]
% ((A mult A) mult (A mult A)) mult (ld((A mult A) mult (A mult A),B) mult A)
% -> A mult B
% Current number of equations to process: 4694
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [461]
% ld(((A mult A) mult (A mult A)) mult B,((A mult A) mult (A mult A)) mult
% (A mult B)) -> A
% Current number of equations to process: 4693
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [462]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(B,((((C mult C) mult
% ld(D,A)) mult D) mult
% ld(A,B)) mult A))) ->
% (false)
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [463]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,unit) mult C,C) mult
% ld(D,A)) mult D)) -> (false)
% Current number of equations to process: 4810
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [464]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,C) mult
% ld(C,D),D) mult
% ld(V_4,A)) mult V_4)) ->
% (false)
% Current number of equations to process: 4808
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [465]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,ld(C,D)) mult C,D) mult
% ld(V_4,A)) mult V_4)) ->
% (false)
% Current number of equations to process: 4808
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [466]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult B,B mult C),unit) mult C)
% -> (false)
% Current number of equations to process: 4925
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [467]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld((C mult C) mult A,A),unit) mult B) mult A))
% -> (false)
% Current number of equations to process: 4924
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [468]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult ld(C,
% ld(D,A))) mult C) mult D))
% -> (false)
% Current number of equations to process: 2571
% Current number of ordered equations: 2
% Current number of rules: 363
% New rule produced :
% [469]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult ld(C,D)) mult C) mult
% ld(D,A))) -> (false)
% Current number of equations to process: 2571
% Current number of ordered equations: 1
% Current number of rules: 364
% New rule produced :
% [470]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult ld(B,C)) mult B,D) mult C,D))
% -> (false)
% Current number of equations to process: 2571
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [471]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(B mult C) mult ld(ld(
% D mult D,B) mult C,A)))
% -> (false)
% Current number of equations to process: 2702
% Current number of ordered equations: 1
% Current number of rules: 366
% New rule produced :
% [472]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld((B mult B) mult C,D) mult C,A) mult D))
% -> (false)
% Current number of equations to process: 2702
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [473]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((C mult C) mult
% ld(A mult A,B)) mult A) mult
% (A mult A))) ->
% (false)
% Current number of equations to process: 2846
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [474]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(((A mult B) mult C) mult D,
% ((((C mult C) mult B) mult A) mult C) mult D))
% -> (false)
% Current number of equations to process: 2845
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [475]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(B,(((C mult C) mult D) mult
% ld(D,B)) mult D) mult
% ld(D,A))) -> (false)
% Current number of equations to process: 2872
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [476]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,unit) mult C,C) mult D) mult
% ld(D,A))) -> (false)
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [477]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,C) mult
% ld(C,D),D) mult V_4) mult
% ld(V_4,A))) -> (false)
% Current number of equations to process: 2964
% Current number of ordered equations: 1
% Current number of rules: 372
% New rule produced :
% [478]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,ld(C,D)) mult C,D) mult V_4) mult
% ld(V_4,A))) -> (false)
% Current number of equations to process: 2964
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [479]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(B mult B,((B mult B) mult
% (B mult B)) mult A)))
% -> (false)
% Current number of equations to process: 3234
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [480]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld((B mult B) mult C,D) mult C,
% C mult D) mult ld(C,A))) ->
% (false)
% Current number of equations to process: 3233
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [481]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(C mult C) mult A) mult
% ld(ld(A mult B,A),unit)) ->
% (false)
% Current number of equations to process: 3244
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [482]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,unit) mult B,B),C) mult D,
% C mult D)) -> (false)
% Current number of equations to process: 3474
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [483]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult
% ld(B,C),C),D) mult V_4,
% D mult V_4)) -> (false)
% Current number of equations to process: 3472
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [484]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,ld(B,C)) mult B,C),D) mult V_4,
% D mult V_4)) -> (false)
% Current number of equations to process: 3472
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [485]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,B) mult C) mult
% ld(B mult C,D),D)) -> (false)
% Current number of equations to process: 3792
% Current number of ordered equations: 1
% Current number of rules: 380
% New rule produced :
% [486]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult B,C) mult B) mult
% ld(C,D),D)) -> (false)
% Current number of equations to process: 3792
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [487]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% (A mult A),(A mult A) mult B),unit))
% -> (false)
% Current number of equations to process: 3921
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [488]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,(((B mult B) mult C) mult
% ld(C,A)) mult C),D) mult C,D))
% -> (false)
% Current number of equations to process: 3961
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [489]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,unit) mult B,B) mult C,D) mult C,D))
% -> (false)
% Current number of equations to process: 4057
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [490]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult
% ld(B,C),C) mult D,V_4) mult D,V_4))
% -> (false)
% Current number of equations to process: 4055
% Current number of ordered equations: 1
% Current number of rules: 385
% New rule produced :
% [491]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,ld(B,C)) mult B,C) mult D,V_4) mult D,V_4))
% -> (false)
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [492]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,
% B mult C),D) mult B,D)) ->
% (false)
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [493]
% ld(A,((ld(B,ld(B,A)) mult C) mult B) mult B) mult B ->
% ld(A,(((B mult C) mult ld(B,ld(B,A))) mult B) mult B)
% Current number of equations to process: 4438
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [494]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld(C mult C,D),A) mult D) mult B))
% -> (false)
% Current number of equations to process: 4915
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [495]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,unit) mult B) mult C,
% B mult C)) -> (false)
% Current number of equations to process: 1612
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [496]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,B) mult ld(B,C)) mult D,
% C mult D)) -> (false)
% Current number of equations to process: 1610
% Current number of ordered equations: 1
% Current number of rules: 391
% New rule produced :
% [497]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,ld(B,C)) mult B) mult D,
% C mult D)) -> (false)
% Current number of equations to process: 1610
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [498]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult B,unit) mult B) mult C,C))
% -> (false)
% Current number of equations to process: 1786
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [499]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult B,ld(C,D)) mult B) mult C,D))
% -> (false)
% Current number of equations to process: 1785
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [500]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,B mult B) mult C) mult B,
% (B mult B) mult (B mult C))) ->
% (false)
% Current number of equations to process: 1928
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [501]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,ld(B,unit)) mult C) mult B,
% (B mult C) mult ld(B,unit))) ->
% (false)
% Current number of equations to process: 1927
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [502]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult (B mult B),C) mult A) mult
% (A mult A),A mult C)) ->
% (false)
% Current number of equations to process: 1926
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [503]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult (A mult A),
% (A mult A) mult B) mult C,
% B mult C)) -> (false)
% Current number of equations to process: 1925
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [504]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult ld(B,unit),C) mult B) mult
% ld(B,unit),B mult C)) ->
% (false)
% Current number of equations to process: 1924
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [505]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult B,(((A mult A) mult
% (C mult C)) mult
% ld(A,B)) mult A))
% -> (false)
% Current number of equations to process: 1934
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [506]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult (A mult B),
% A mult B),unit)) -> (false)
% Current number of equations to process: 2010
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [507]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(C,((ld(B,C) mult
% ld(B,C)) mult C) mult B) mult A))
% -> (false)
% Current number of equations to process: 2022
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [508]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(((B mult B) mult
% ld(C,A)) mult C,D) mult A,
% A mult D))) -> (false)
% Current number of equations to process: 2174
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [509]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(C,ld(ld(D mult D,unit),C)) mult B) mult A))
% -> (false)
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [510]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,((ld(ld(C mult C,D),unit) mult D) mult B) mult A))
% -> (false)
% Current number of equations to process: 2256
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [511]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,((((C mult C) mult A) mult A) mult
% ld(A,unit)) mult B))
% -> (false)
% Current number of equations to process: 2486
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [512]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(((B mult B) mult C) mult
% ld(C,A),D) mult A,
% A mult D))) -> (false)
% Current number of equations to process: 2655
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [513]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(ld((C mult C) mult A,unit) mult A,A) mult B))
% -> (false)
% Current number of equations to process: 3055
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [514]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(ld((C mult C) mult A,
% ld(A,D)) mult A,D) mult B))
% -> (false)
% Current number of equations to process: 3054
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [515]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult B,B),unit))
% -> (false)
% Rule
% [487]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% (A mult A),(A mult A) mult B),unit))
% -> (false) collapsed.
% Rule
% [506]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult (A mult B),
% A mult B),unit)) -> (false)
% collapsed.
% Current number of equations to process: 3174
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [516]
% (ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,C)) mult B <->
% (ld(A,B) mult ld(A,C)) mult A
% Current number of equations to process: 3267
% Current number of ordered equations: 1
% Current number of rules: 409
% New rule produced :
% [517]
% (ld(A,B) mult ld(A,C)) mult A <->
% (ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,C)) mult B
% Current number of equations to process: 3267
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [518]
% (((A mult A) mult B) mult ld(B,unit)) mult A ->
% ((A mult A) mult ld(A mult B,A)) mult (A mult B)
% Current number of equations to process: 3544
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [519]
% (((A mult A) mult B) mult ld(A mult A,A)) mult A ->
% ((A mult A) mult (A mult B)) mult ld(A mult A,A)
% Current number of equations to process: 3547
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [520] ld(B,ld(A,(A mult A) mult B) mult ld(B,unit)) -> ld(ld(A,B),unit)
% Current number of equations to process: 3768
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [521]
% ld(B,ld(A,(A mult A) mult B)) mult ld(B,ld(A,C)) ->
% ld(ld(A,B),ld(B,ld(A,B) mult C))
% Current number of equations to process: 3767
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [522]
% (ld(A,ld(B,(B mult B) mult A)) mult ld(A,C)) mult ld(B,A) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 3766
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [523] ld(B,ld(B,ld(ld(B mult B,B),B mult B))) mult ld(B,A) -> A
% Current number of equations to process: 3771
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [524]
% ld(B,ld(ld(A,B),unit)) mult ld(B,ld(A,(A mult A) mult B)) ->
% ld(ld(A,B),ld(ld(A,B),unit))
% Current number of equations to process: 3982
% Current number of ordered equations: 0
% Current number of rules: 417
% Rule [234]
% ld(ld(A,B),ld(B,(A mult B) mult ld(A,B))) <->
% ld(B,ld(A,(A mult A) mult B)) is composed into [234]
% ld(ld(A,B),ld(B,(A mult B) mult
% ld(A,B)))
% -> ld(ld(B,ld(A,B)),unit)
% Rule [217]
% ld(ld(A,ld(B,A) mult C),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,ld(B,(B mult B) mult A)) is composed into [217]
% ld(ld(A,ld(B,A) mult C),
% ld(A,(B mult C) mult
% ld(B,A))) ->
% ld(ld(A,ld(B,A)),unit)
% Rule [214]
% ld(ld(B,A),ld(A,(B mult C) mult ld(B,A))) <->
% ld(A,ld(B,(B mult B) mult A)) mult ld(A,C) is composed into [214]
% ld(ld(B,A),
% ld(A,
% (B mult C) mult
% ld(B,A)))
% <->
% ld(ld(A,
% ld(B,A)),unit) mult
% ld(A,C)
% New rule produced :
% [525] ld(A,ld(B,(B mult B) mult A)) -> ld(ld(A,ld(B,A)),unit)
% Rule
% [290]
% ld(A,B) mult ld(B,ld(A,(A mult A) mult B)) -> ld(B,(A mult B) mult ld(A,B))
% collapsed.
% Rule
% [321]
% ld(A,ld(B,A) mult C) mult ld(A,ld(B,(B mult B) mult A)) ->
% ld(A,(B mult C) mult ld(B,A)) collapsed.
% Rule
% [388]
% ld(ld(A,ld(B,(B mult B) mult A)),ld(A,(B mult C) mult ld(B,A))) ->
% ld(A,ld(B,A) mult C) collapsed.
% Rule
% [479]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(B mult B,((B mult B) mult
% (B mult B)) mult A)))
% -> (false) collapsed.
% Rule
% [521]
% ld(B,ld(A,(A mult A) mult B)) mult ld(B,ld(A,C)) ->
% ld(ld(A,B),ld(B,ld(A,B) mult C)) collapsed.
% Rule
% [522]
% (ld(A,ld(B,(B mult B) mult A)) mult ld(A,C)) mult ld(B,A) ->
% ld(A,(B mult C) mult ld(B,A)) collapsed.
% Rule
% [524]
% ld(B,ld(ld(A,B),unit)) mult ld(B,ld(A,(A mult A) mult B)) ->
% ld(ld(A,B),ld(ld(A,B),unit)) collapsed.
% Current number of equations to process: 4008
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [526]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A,ld(B mult B,A)),unit)) ->
% (false)
% Current number of equations to process: 4007
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [527] ld(B,(A mult B) mult ld(A,B)) -> ld(ld(B,ld(A,B)),unit) mult ld(A,B)
% Rule
% [234] ld(ld(A,B),ld(B,(A mult B) mult ld(A,B))) -> ld(ld(B,ld(A,B)),unit)
% collapsed.
% Current number of equations to process: 4010
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [528]
% ld(ld(B,ld(A,B)),unit) mult ld(B,ld(A,C)) -> ld(ld(A,B),ld(B,ld(A,B) mult C))
% Current number of equations to process: 4009
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [529]
% ld(ld(A,ld(B,A)),unit) mult ld(A,ld(B,A) mult C) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 4008
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [530]
% (ld(ld(A,ld(B,A)),unit) mult ld(A,C)) mult ld(B,A) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 4007
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [531]
% ld(ld(B,ld(A,B)),unit) mult ld(B,ld(ld(A,B),unit)) ->
% ld(ld(A,B),ld(ld(A,B),unit))
% Current number of equations to process: 4006
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [532]
% ld(ld(ld(A,ld(B,A)),unit),ld(A,(B mult C) mult ld(B,A))) ->
% ld(A,ld(B,A) mult C)
% Current number of equations to process: 4004
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [533]
% ld(ld(A,ld(B,A) mult ld(B,C)),ld(A,ld(B,A) mult C)) -> ld(ld(A,ld(B,A)),unit)
% Current number of equations to process: 4002
% Current number of ordered equations: 1
% Current number of rules: 418
% New rule produced :
% [534]
% ld(ld(A,B),ld(ld(C,A),ld(A,(B mult C) mult ld(C,A)))) ->
% ld(ld(A,ld(C,A)),unit)
% Current number of equations to process: 4002
% Current number of ordered equations: 0
% Current number of rules: 419
% Rule [228]
% ld(ld(A,B mult C),ld(A,(ld(B,A) mult C) mult B)) ->
% ld(ld(A,ld(ld(B,A),op_b) mult B),ld(A,op_b mult B)) is composed into
% [228] ld(ld(A,B mult C),ld(A,(ld(B,A) mult C) mult B)) -> ld(ld(A,B),unit)
% New rule produced :
% [535] ld(ld(A,ld(ld(B,A),op_b) mult B),ld(A,op_b mult B)) -> ld(ld(A,B),unit)
% Current number of equations to process: 4005
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [536]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,ld(ld(((B mult B) mult A) mult A,unit) mult A,A)))
% -> (false)
% Current number of equations to process: 4378
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [537]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,ld(ld(((B mult B) mult A) mult A,
% ld(A,C)) mult A,C)))
% -> (false)
% Current number of equations to process: 4377
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [538] ld(A,ld(ld(B,A),C) mult B) -> ld(ld(ld(A,B),unit),ld(A,B mult C))
% Rule
% [247]
% ld(A,ld(ld(C,A),B) mult C) mult ld(C,ld(A,(ld(C,A) mult A) mult C)) ->
% ld(A,B mult C) collapsed.
% Rule
% [535] ld(ld(A,ld(ld(B,A),op_b) mult B),ld(A,op_b mult B)) -> ld(ld(A,B),unit)
% collapsed.
% Current number of equations to process: 4499
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [539]
% ld(A,ld(B,A) mult ld(B,C)) -> ld(ld(ld(A,ld(B,A)),unit),ld(A,ld(B,A) mult C))
% Rule
% [533]
% ld(ld(A,ld(B,A) mult ld(B,C)),ld(A,ld(B,A) mult C)) -> ld(ld(A,ld(B,A)),unit)
% collapsed.
% Current number of equations to process: 4498
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [540]
% (A mult B) mult ld(ld(ld(A mult B,B),unit),ld(A mult B,B mult C)) ->
% ld(A,C) mult B
% Current number of equations to process: 4497
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [541]
% ld(A mult B,B) mult ld(ld(A mult B,A),unit) -> ld(A,ld(ld(A mult B,A),unit))
% Current number of equations to process: 4718
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [542]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld((B mult B) mult C,C),unit) mult
% ld(D,A)) mult D)) -> (false)
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [543]
% ((ld(ld(A mult B,A),unit) mult A) mult A) mult (A mult B) ->
% (((A mult B) mult A) mult B) mult A
% Current number of equations to process: 4736
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [544] (A mult B) mult ld(ld(A mult B,B),unit) <-> (A mult A) mult B
% Current number of equations to process: 4741
% Current number of ordered equations: 2
% Current number of rules: 426
% New rule produced :
% [545] (A mult A) mult B <-> (A mult B) mult ld(ld(A mult B,B),unit)
% Rule
% [291]
% ld(ld(A,B),(ld(A,B) mult ld(A,B)) mult B) <-> (ld(A,B) mult ld(A,B)) mult A
% collapsed.
% Rule
% [292]
% (ld(A,B) mult ld(A,B)) mult A <-> ld(ld(A,B),(ld(A,B) mult ld(A,B)) mult B)
% collapsed.
% Rule
% [316]
% ld((ld(A,B) mult ld(A,B)) mult A,(ld(A,B) mult ld(A,B)) mult B) -> ld(A,B)
% collapsed.
% Rule
% [347]
% ((A mult A) mult (A mult A)) mult ld(A,unit) -> ld(ld(A mult A,A),A mult A)
% collapsed.
% Rule
% [507]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(C,((ld(B,C) mult
% ld(B,C)) mult C) mult B) mult A))
% -> (false) collapsed.
% Current number of equations to process: 4745
% Current number of ordered equations: 1
% Current number of rules: 422
% Rule [517]
% (ld(A,B) mult ld(A,C)) mult A <->
% (ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,C)) mult B is composed into
% [517]
% (ld(A,B) mult ld(A,C)) mult A <-> (ld(ld(B,A),unit) mult ld(B,C)) mult B
% Rule [320]
% ld(C,ld(A,(ld(C,A) mult B) mult C)) <->
% ld(A,B) mult ld(C,ld(A,(ld(C,A) mult A) mult C)) is composed into
% [320] ld(C,ld(A,(ld(C,A) mult B) mult C)) -> ld(ld(A,C),unit) mult ld(A,B)
% Rule [77]
% ld(A,(ld(B,A) mult C) mult B) <->
% ld(A,B mult C) mult ld(B,ld(A,(ld(B,A) mult A) mult B)) is composed into
% [77] ld(A,(ld(B,A) mult C) mult B) -> ld(ld(A,B),unit) mult ld(A,B mult C)
% New rule produced :
% [546] ld(A,ld(B,(ld(A,B) mult B) mult A)) -> ld(ld(B,A),unit)
% Rule
% [211]
% (ld(A,B mult C) mult ld(B,ld(A,(ld(B,A) mult A) mult B))) mult A ->
% (ld(B,A) mult C) mult B collapsed.
% Rule
% [218]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(B mult B) mult C) mult
% ld(C,ld(A,(ld(C,A) mult A) mult C)))
% -> (false) collapsed.
% Rule
% [319]
% ld(A,B) mult ld(C,ld(A,(ld(C,A) mult A) mult C)) <->
% ld(C,ld(A,(ld(C,A) mult B) mult C)) collapsed.
% Rule
% [516]
% (ld(A,ld(B,(ld(A,B) mult B) mult A)) mult ld(B,C)) mult B <->
% (ld(A,B) mult ld(A,C)) mult A collapsed.
% Current number of equations to process: 4749
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [547]
% ld(C,ld(ld(A,C),unit) mult ld(A,B mult C)) -> ld(ld(A,C),unit) mult ld(A,B)
% Current number of equations to process: 4748
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [548]
% (ld(ld(A,B),unit) mult ld(A,B mult C)) mult A -> (ld(B,A) mult C) mult B
% Current number of equations to process: 4746
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [549]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A,C),unit) mult ld(A,
% (B mult B) mult C))
% -> (false)
% Rule
% [481]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(C mult C) mult A) mult
% ld(ld(A mult B,A),unit)) ->
% (false) collapsed.
% Current number of equations to process: 4745
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [550]
% ld(ld(ld(ld(A mult B,B),unit),ld(A mult B,B mult C)),ld(A,C) mult B) ->
% A mult B
% Current number of equations to process: 4744
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [551] ld(ld(ld(A mult B,B),unit),(A mult A) mult B) -> A mult B
% Current number of equations to process: 4747
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [552]
% (ld(ld(A mult B,A),unit) mult A) mult (A mult B) ->
% ((A mult B) mult B) mult A
% Current number of equations to process: 4758
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [553]
% ld(A mult B,(((A mult B) mult A) mult B) mult A) ->
% (ld(ld(A mult B,A),unit) mult A) mult A
% Current number of equations to process: 4760
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [554]
% ld(ld(ld(A mult B,A),unit) mult A,((A mult B) mult B) mult A) -> A mult B
% Current number of equations to process: 4761
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [555]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A) mult D,D),unit))
% -> (false)
% Current number of equations to process: 4761
% Current number of ordered equations: 1
% Current number of rules: 427
% New rule produced :
% [556]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld((C mult C) mult D,D),unit) mult B) mult A))
% -> (false)
% Rule
% [467]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld((C mult C) mult A,A),unit) mult B) mult A))
% -> (false) collapsed.
% Current number of equations to process: 4761
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [557]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld((B mult B) mult C,C),unit) mult D) mult
% ld(D,A))) -> (false)
% Current number of equations to process: 4782
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [558]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,B),unit),C) mult D,
% C mult D)) -> (false)
% Current number of equations to process: 4782
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [559]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,B),unit) mult C,D) mult C,D))
% -> (false)
% Current number of equations to process: 4784
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [560]
% ld(A mult B,((((A mult B) mult A) mult A) mult B) mult A) ->
% ((ld(ld(A mult B,A),unit) mult A) mult A) mult A
% Current number of equations to process: 4789
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [561]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)) mult D,D),unit))
% -> (false)
% Current number of equations to process: 4790
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [562]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C) mult D,D),unit))
% -> (false)
% Current number of equations to process: 4790
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [563]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C) mult D,D),unit))
% -> (false)
% Current number of equations to process: 4792
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [564]
% ld(ld(A,B) mult B,(A mult B) mult ld(A,B)) ->
% ld(ld(A,B),ld(ld(ld(A,B) mult B,ld(A,B)),unit))
% Current number of equations to process: 4793
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [565]
% ld(ld(A,B mult C),unit) mult ld(A,(C mult C) mult B) ->
% ld(ld(A,B),unit) mult ld(A,B mult C)
% Current number of equations to process: 4820
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [566]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(ld((A mult A) mult B,B),unit) mult C) mult
% ld(C,unit)) -> (false)
% Current number of equations to process: 4820
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [567]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult B,B) mult C,C))
% -> (false)
% Current number of equations to process: 4821
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [568]
% (ld(A,B) mult B) mult A -> (A mult B) mult ld(A,ld(ld(A mult B,A),unit))
% Rule
% [351]
% (ld(A mult B,B) mult B) mult (A mult B) ->
% ((A mult B) mult ld(A,unit)) mult B collapsed.
% Rule [546] ld(A,ld(B,(ld(A,B) mult B) mult A)) -> ld(ld(B,A),unit) collapsed.
% Current number of equations to process: 4829
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [569]
% ld(A,ld(B,(A mult B) mult ld(A,ld(ld(A mult B,A),unit)))) -> ld(ld(B,A),unit)
% Current number of equations to process: 4828
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [570]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(ld((B mult B) mult C,C),unit),D),A) mult D))
% -> (false)
% Current number of equations to process: 4836
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [571]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,B),unit),C) mult
% ld(C,D),D)) -> (false)
% Current number of equations to process: 4838
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [572]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,B),unit),
% ld(C,D)) mult C,D)) -> (false)
% Current number of equations to process: 4841
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [573]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C) mult D,D),unit))
% -> (false)
% Current number of equations to process: 4874
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [574]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((((A mult A) mult B) mult
% ld(B,unit)) mult C,C),unit))
% -> (false)
% Current number of equations to process: 4874
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [575]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult
% ld(B,C),C) mult D,D),unit))
% -> (false)
% Current number of equations to process: 4875
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [576]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,ld(B,C)) mult B,C) mult D,D),unit))
% -> (false)
% Current number of equations to process: 4876
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [577]
% ld(ld((A mult A) mult (A mult B),A mult A),A) ->
% ld(ld((A mult A) mult (A mult B),A),unit)
% Current number of equations to process: 1912
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced : [578] ld(ld(A,B mult B),B) -> ld(ld(A,B),unit)
% Rule [227] ld(ld(A mult B,B mult B),B) -> ld(ld(A mult B,B),unit) collapsed.
% Rule [376] ld(ld(ld(A mult A,A),A mult A),A) mult A -> ld(A mult A,A)
% collapsed.
% Rule
% [577]
% ld(ld((A mult A) mult (A mult B),A mult A),A) ->
% ld(ld((A mult A) mult (A mult B),A),unit) collapsed.
% Current number of equations to process: 1920
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [579] ld(A mult B,B mult B) mult ld(ld(A mult B,B),unit) -> B
% Current number of equations to process: 1919
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [580]
% ld(ld(A mult B,A),ld(A mult B,(ld(C,unit) mult B) mult A)) ->
% ld(ld(A mult B,A mult C),unit)
% Current number of equations to process: 1922
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [581]
% ld(A,((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C)) <->
% (ld(A,C) mult B) mult ld(A,unit)
% Current number of equations to process: 1936
% Current number of ordered equations: 1
% Current number of rules: 447
% New rule produced :
% [582]
% (ld(A,C) mult B) mult ld(A,unit) <->
% ld(A,((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C))
% Current number of equations to process: 1936
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [583]
% ld(A mult B,ld(ld(A mult A,A),A mult A)) <->
% ld(ld(ld(A mult B,A),unit),A mult A)
% Current number of equations to process: 1948
% Current number of ordered equations: 1
% Current number of rules: 449
% New rule produced :
% [584]
% ld(ld(ld(A mult B,A),unit),A mult A) <->
% ld(A mult B,ld(ld(A mult A,A),A mult A))
% Current number of equations to process: 1948
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [585] ld(A mult B,B mult B) <-> ld(ld(ld(A mult B,B),unit),B)
% Current number of equations to process: 1966
% Current number of ordered equations: 1
% Current number of rules: 451
% New rule produced :
% [586] ld(ld(ld(A mult B,B),unit),B) <-> ld(A mult B,B mult B)
% Current number of equations to process: 1966
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [587]
% ld(ld(ld(A mult B,A),unit),ld(A,ld(A mult B,(B mult C) mult A))) ->
% ld(A mult B,C)
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 453
% Rule [584]
% ld(ld(ld(A mult B,A),unit),A mult A) <->
% ld(A mult B,ld(ld(A mult A,A),A mult A)) is composed into [584]
% ld(ld(
% ld(
% A mult B,A),unit),
% A mult A) ->
% ld(A mult B,
% ld(ld(A,unit),
% A mult A))
% Rule [404]
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A <->
% ld(A mult B,((A mult B) mult ld(ld(B mult B,B),B mult B)) mult A) is composed into
% [404]
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A <->
% ld(A mult B,((A mult B) mult ld(ld(B,unit),B mult B)) mult A)
% Rule [375] (A mult A) mult A -> ld(ld(A mult A,A),A mult A) is composed into
% [375] (A mult A) mult A -> ld(ld(A,unit),A mult A)
% Rule [326]
% ld(A mult B,(A mult A) mult (A mult A)) mult ld(ld(A mult B,A),unit) ->
% ld(ld(A mult A,A),A mult A) is composed into [326]
% ld(A mult B,(A mult A) mult
% (A mult A)) mult
% ld(ld(A mult B,A),unit) ->
% ld(ld(A,unit),A mult A)
% Rule [324]
% ld((A mult A) mult B,A) mult ld(ld((A mult A) mult B,A mult A),unit) ->
% ld(A mult A,A) is composed into [324]
% ld((A mult A) mult B,A) mult ld(
% ld(
% (A mult A) mult B,
% A mult A),unit)
% -> ld(A,unit)
% Rule [262]
% ((A mult A) mult B) mult ld(A,unit) <->
% (ld(ld(A mult A,A),A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) is composed into
% [262]
% ((A mult A) mult B) mult ld(A,unit) <->
% (ld(ld(A,unit),A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B)
% New rule produced : [588] ld(A mult A,A) -> ld(A,unit)
% Rule [230] ld(ld(A mult A,A),unit) -> A collapsed.
% Rule
% [361]
% (ld(A mult A,A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(A mult A,A) collapsed.
% Rule [377] ld(A mult A,unit) mult ld(ld(A mult A,A),A mult A) -> A collapsed.
% Rule
% [378]
% (ld(ld(A mult A,A),A mult A) mult B) mult A ->
% (A mult B) mult ld(ld(A mult A,A),A mult A) collapsed.
% Rule
% [379]
% ld((A mult A) mult (A mult A),ld(ld(A mult A,A),A mult A)) -> ld(A mult A,A)
% collapsed.
% Rule
% [380]
% ld(ld(A mult B,ld(ld(A mult A,A),A mult A)),A mult A) ->
% ld(ld(A mult B,A),unit) collapsed.
% Rule
% [381] ld(A,ld(ld(ld(ld(A mult A,A),A mult A),B) mult A,A mult B)) -> A mult A
% collapsed.
% Rule
% [382]
% ld(A,(A mult B) mult ld(ld(A mult A,A),A mult A)) ->
% ld(ld(A mult A,A),A mult A) mult B collapsed.
% Rule
% [384]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult ld(
% ld(
% A mult A,A),
% A mult A),B) mult A,B))
% -> (false) collapsed.
% Rule
% [385]
% ld(A mult B,ld(ld(B mult B,B),B mult B) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) collapsed.
% Rule
% [386]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,((B mult B) mult
% ld(ld(B mult B,B),
% B mult B)) mult A))
% -> (false) collapsed.
% Rule
% [387]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((B mult B) mult ld(
% ld(
% B mult B,B),
% B mult B)) mult
% ld(B,A))) -> (false)
% collapsed.
% Rule
% [389]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult A,A),A mult A),
% ((B mult B) mult A) mult A) mult A)
% -> (false) collapsed.
% Rule
% [392]
% (ld(ld(A mult A,A),A mult A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(ld(A mult A,A),A mult A) collapsed.
% Rule
% [394]
% (((A mult A) mult ld(ld(A mult A,A),A mult A)) mult B) mult (A mult A) ->
% ((A mult A) mult ld(ld(A mult A,A),A mult A)) mult ((A mult A) mult B)
% collapsed.
% Rule
% [396]
% ld(ld((A mult A) mult B,ld(ld(A mult A,A),A mult A)),A) ->
% ld(ld((A mult A) mult B,A mult A),unit) collapsed.
% Rule
% [399]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult (A mult A)) mult
% ld(ld(A mult A,A),A mult A),B) mult A,B))
% -> (false) collapsed.
% Rule
% [400]
% ld(A mult B,(B mult C) mult A) mult ld(ld(A mult A,A),A mult A) <->
% ld(A mult B,((ld(ld(A mult A,A),A mult A) mult C) mult B) mult A) collapsed.
% Rule
% [401]
% ld(A mult B,((ld(ld(A mult A,A),A mult A) mult C) mult B) mult A) <->
% ld(A mult B,(B mult C) mult A) mult ld(ld(A mult A,A),A mult A) collapsed.
% Rule
% [402]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((B mult B) mult
% (B mult B)) mult
% ld(ld(B mult B,B),
% B mult B)) mult A))
% -> (false) collapsed.
% Rule
% [403]
% ld(A mult B,((A mult B) mult ld(ld(B mult B,B),B mult B)) mult A) <->
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A collapsed.
% Rule
% [405]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult (B mult B)) mult
% ld(ld(B mult B,B),B mult B)) mult
% ld(B,A))) -> (false)
% collapsed.
% Rule
% [406]
% ld(A mult B,ld(ld(A mult A,A),A mult A)) mult ld(ld(A mult B,A),unit) ->
% A mult A collapsed.
% Rule
% [407]
% (ld(ld(A mult A,A),A mult A) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A mult A,A),A mult A) collapsed.
% Rule
% [418]
% (A mult A) mult ld(ld(ld(A mult A,A),A mult A),B) ->
% ld(ld(ld(A mult A,A),A mult A),(A mult A) mult B) collapsed.
% Rule
% [432]
% ld(A mult A,A mult B) mult ld(A mult A,A) ->
% ld(A mult A,(A mult B) mult ld(A,unit)) collapsed.
% Rule
% [451]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult A,A),A mult A),
% (((B mult B) mult A) mult A) mult A))
% -> (false) collapsed.
% Rule
% [454]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult A,A),A mult A),
% ((B mult B) mult A) mult
% (A mult A))) -> (false)
% collapsed.
% Rule
% [455]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,B mult B) mult B,
% ld(ld(B mult B,B),B mult B))) ->
% (false) collapsed.
% Rule
% [456]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,A),A mult A) mult A)
% -> (false) collapsed.
% Rule
% [457]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult ld(B mult B,A),
% ld(ld(A mult A,A),A mult A))) ->
% (false) collapsed.
% Rule
% [519]
% (((A mult A) mult B) mult ld(A mult A,A)) mult A ->
% ((A mult A) mult (A mult B)) mult ld(A mult A,A) collapsed.
% Rule [523] ld(B,ld(B,ld(ld(B mult B,B),B mult B))) mult ld(B,A) -> A
% collapsed.
% Rule
% [583]
% ld(A mult B,ld(ld(A mult A,A),A mult A)) <->
% ld(ld(ld(A mult B,A),unit),A mult A) collapsed.
% Current number of equations to process: 2209
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [589]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A,unit),A mult A) mult A)
% -> (false)
% Current number of equations to process: 2208
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced : [590] ld(A mult A,unit) mult ld(ld(A,unit),A mult A) -> A
% Current number of equations to process: 2207
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [591]
% ((A mult A) mult B) mult ld(A,unit) -> (ld(A,unit) mult B) mult (A mult A)
% Rule
% [262]
% ((A mult A) mult B) mult ld(A,unit) <->
% (ld(ld(A,unit),A mult A) mult ld(A,unit)) mult (ld(A,unit) mult B) collapsed.
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [592] ld(B,ld(B,ld(ld(B,unit),B mult B))) mult ld(B,A) -> A
% Current number of equations to process: 2205
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [593]
% (ld(ld(A,unit),A mult A) mult B) mult A ->
% (A mult B) mult ld(ld(A,unit),A mult A)
% Current number of equations to process: 2204
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [594] ld((A mult A) mult (A mult A),ld(ld(A,unit),A mult A)) -> ld(A,unit)
% Current number of equations to process: 2203
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [595]
% ld(A mult A,A mult B) mult ld(A,unit) ->
% ld(A mult A,(A mult B) mult ld(A,unit))
% Current number of equations to process: 2202
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [596]
% ld(A,(A mult B) mult ld(ld(A,unit),A mult A)) ->
% ld(ld(A,unit),A mult A) mult B
% Current number of equations to process: 2201
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [597]
% ld(ld(A mult B,ld(ld(A,unit),A mult A)),A mult A) -> ld(ld(A mult B,A),unit)
% Current number of equations to process: 2210
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [598] ld(A,ld(ld(ld(ld(A,unit),A mult A),B) mult A,A mult B)) -> A mult A
% Current number of equations to process: 2209
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [599]
% ld(A mult B,ld(ld(B,unit),B mult B) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit))
% Current number of equations to process: 2219
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [600]
% ld(A,(A mult B) mult ld(B,ld(ld(A mult B,B),unit))) ->
% ld(ld(A,B),unit) mult B
% Rule
% [569]
% ld(A,ld(B,(A mult B) mult ld(A,ld(ld(A mult B,A),unit)))) -> ld(ld(B,A),unit)
% collapsed.
% Current number of equations to process: 2224
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [601]
% (ld(ld(A,unit),A mult A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(ld(A,unit),A mult A)
% Current number of equations to process: 2223
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [602]
% (ld(ld(A,unit),A mult A) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),A mult A)
% Current number of equations to process: 2222
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [603]
% (A mult A) mult ld(ld(ld(A,unit),A mult A),B) ->
% ld(ld(ld(A,unit),A mult A),(A mult A) mult B)
% Current number of equations to process: 2221
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [604] ld(ld(ld(A,B),unit) mult A,ld(ld(A,B),unit) mult B) -> ld(A,B)
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 434
% Rule [586] ld(ld(ld(A mult B,B),unit),B) <-> ld(A mult B,B mult B) is composed into
% [586] ld(ld(ld(A mult B,B),unit),B) -> ld(A mult B,ld(ld(B,unit),B))
% Rule [544] (A mult B) mult ld(ld(A mult B,B),unit) <-> (A mult A) mult B is composed into
% [544] (A mult B) mult ld(ld(A mult B,B),unit) -> ld(ld(A,unit),A) mult B
% New rule produced : [605] A mult A -> ld(ld(A,unit),A)
% Rule [5] (eq)((op_b mult op_b) mult (op_a mult op_a),A mult A) -> (false)
% collapsed.
% Rule [11] (eq)((op_b mult op_b) mult (op_a mult op_a),unit) -> (false)
% collapsed.
% Rule
% [12]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,((C mult C) mult B) mult A))
% -> (false) collapsed.
% Rule
% [17]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((B mult B) mult ld(C,A)) mult C))
% -> (false) collapsed.
% Rule
% [18]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((B mult B) mult C) mult
% ld(C,A))) -> (false)
% collapsed.
% Rule
% [19]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,B) mult C,
% B mult C)) -> (false) collapsed.
% Rule
% [20]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult B,C) mult B,C))
% -> (false) collapsed.
% Rule
% [32]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(C mult D,
% ((V_4 mult V_4) mult D) mult C) mult B) mult A))
% -> (false) collapsed.
% Rule
% [44]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(B mult B,C),A) mult C))
% -> (false) collapsed.
% Rule
% [45]
% (eq)((op_b mult op_b) mult (op_a mult op_a),((A mult A) mult B) mult
% ld(B,unit)) -> (false) collapsed.
% Rule
% [46]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,unit) mult B,B))
% -> (false) collapsed.
% Rule
% [47]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,B) mult ld(B,C),C))
% -> (false) collapsed.
% Rule
% [48]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,ld(B,C)) mult B,C))
% -> (false) collapsed.
% Rule [49] ((A mult A) mult B) mult A -> (A mult A) mult (A mult B) collapsed.
% Rule
% [61]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B mult C,((D mult D) mult C) mult B) mult
% ld(V_4,A)) mult V_4)) ->
% (false) collapsed.
% Rule
% [63]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B mult C,((D mult D) mult C) mult B) mult V_4) mult
% ld(V_4,A))) -> (false)
% collapsed.
% Rule
% [64]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A),D) mult V_4,
% D mult V_4)) -> (false)
% collapsed.
% Rule
% [65]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A) mult D,V_4) mult D,V_4))
% -> (false) collapsed.
% Rule
% [70]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult C,(((D mult D) mult B) mult A) mult C))
% -> (false) collapsed.
% Rule
% [71]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(C,((D mult D) mult
% ld(V_4,C)) mult V_4) mult B) mult A))
% -> (false) collapsed.
% Rule
% [72]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(C,((D mult D) mult V_4) mult
% ld(V_4,C)) mult B) mult A))
% -> (false) collapsed.
% Rule
% [73]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld(C mult C,D) mult V_4,
% D mult V_4) mult B) mult A))
% -> (false) collapsed.
% Rule
% [74]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld((C mult C) mult D,V_4) mult D,V_4) mult B) mult A))
% -> (false) collapsed.
% Rule
% [75]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(A mult C,(
% (
% (D mult D) mult A) mult C) mult A) mult B))
% -> (false) collapsed.
% Rule
% [80]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,ld(A mult B,(
% (
% (
% (C mult C) mult A) mult A) mult B) mult A)))
% -> (false) collapsed.
% Rule
% [107]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,((C mult C) mult D) mult
% ld(D,B)) mult
% ld(V_4,A)) mult V_4)) ->
% (false) collapsed.
% Rule
% [108]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,((C mult C) mult D) mult
% ld(D,B)) mult V_4) mult
% ld(V_4,A))) -> (false)
% collapsed.
% Rule
% [109]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)),D) mult V_4,
% D mult V_4)) -> (false)
% collapsed.
% Rule
% [110]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)) mult D,V_4) mult D,V_4))
% -> (false) collapsed.
% Rule
% [115]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(B mult B,unit),A))) ->
% (false) collapsed.
% Rule
% [116]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,B),unit) mult B)
% -> (false) collapsed.
% Rule [117] ld(A,(A mult A) mult (A mult B)) -> (A mult A) mult B collapsed.
% Rule [119] ld((A mult A) mult B,(A mult A) mult (A mult B)) -> A collapsed.
% Rule [124] ld(A mult A,B) mult A -> ld(A mult A,A mult B) collapsed.
% Rule
% [130]
% (A mult A) mult ld(A mult B,(B mult C) mult A) <->
% ld(A mult B,(A mult A) mult (A mult C)) mult ld(ld(A mult B,A),unit)
% collapsed.
% Rule
% [138]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A mult B,((C mult C) mult B) mult A) mult D) mult
% ld(D,unit)) -> (false) collapsed.
% Rule
% [139]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A,((B mult B) mult C) mult
% ld(C,A)) mult D) mult
% ld(D,unit)) -> (false) collapsed.
% Rule
% [140]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A),unit) mult D,D))
% -> (false) collapsed.
% Rule
% [141]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)),unit) mult D,D))
% -> (false) collapsed.
% Rule
% [157]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B mult C,((D mult D) mult C) mult B),V_4),A) mult V_4))
% -> (false) collapsed.
% Rule
% [158]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B,((C mult C) mult D) mult
% ld(D,B)),V_4),A) mult V_4))
% -> (false) collapsed.
% Rule
% [159]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A),D) mult
% ld(D,V_4),V_4)) -> (false)
% collapsed.
% Rule
% [160]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)),D) mult
% ld(D,V_4),V_4)) -> (false)
% collapsed.
% Rule
% [161]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A),
% ld(D,V_4)) mult D,V_4)) ->
% (false) collapsed.
% Rule
% [162]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)),ld(D,V_4)) mult D,V_4))
% -> (false) collapsed.
% Rule
% [163]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult (A mult B),
% ((A mult A) mult B) mult
% ((C mult C) mult A))) -> (false)
% collapsed.
% Rule
% [164]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult (A mult B),
% (((A mult A) mult B) mult
% (C mult C)) mult A)) -> (false)
% collapsed.
% Rule
% [165]
% ld(A mult B,((((B mult B) mult C) mult A) mult B) mult A) ->
% ld(A mult B,((B mult B) mult (B mult C)) mult A) mult A collapsed.
% Rule
% [168]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,(B mult B) mult C) mult B,
% (B mult B) mult (B mult C))) ->
% (false) collapsed.
% Rule
% [169]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(((A mult A) mult B) mult
% ld(C mult C,A),(A mult A) mult
% (A mult B))) ->
% (false) collapsed.
% Rule
% [174]
% (((A mult A) mult (A mult A)) mult B) mult A ->
% ((A mult A) mult (A mult A)) mult (A mult B) collapsed.
% Rule
% [175]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,((C mult C) mult
% ld(D,B)) mult D) mult
% ld(V_4,A)) mult V_4)) ->
% (false) collapsed.
% Rule
% [176]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,C) mult D,
% C mult D) mult ld(V_4,A)) mult V_4))
% -> (false) collapsed.
% Rule
% [177]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld((B mult B) mult C,D) mult C,D) mult
% ld(V_4,A)) mult V_4)) ->
% (false) collapsed.
% Rule
% [178]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((C mult C) mult
% ld(D,B)) mult D) mult A))
% -> (false) collapsed.
% Rule
% [179]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult C) mult D) mult
% ld(C mult D,A))) -> (false)
% collapsed.
% Rule
% [180]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,((C mult C) mult
% ld(D,B)) mult D) mult V_4) mult
% ld(V_4,A))) -> (false)
% collapsed.
% Rule
% [181]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,C) mult D,
% C mult D) mult V_4) mult
% ld(V_4,A))) -> (false)
% collapsed.
% Rule
% [182]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld((B mult B) mult C,D) mult C,D) mult V_4) mult
% ld(V_4,A))) -> (false)
% collapsed.
% Rule
% [183]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(B mult C,(((D mult D) mult B) mult C) mult B) mult
% ld(B,A))) -> (false)
% collapsed.
% Rule
% [184]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult
% ld(C,A)) mult C),D) mult V_4,
% D mult V_4)) -> (false)
% collapsed.
% Rule
% [185]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C),D) mult V_4,
% D mult V_4)) -> (false)
% collapsed.
% Rule
% [186]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C),D) mult V_4,
% D mult V_4)) -> (false)
% collapsed.
% Rule
% [187]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult ld(((C mult C) mult B) mult A,D),D))
% -> (false) collapsed.
% Rule
% [188]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult
% ld(C,A)) mult C) mult D,V_4) mult D,V_4))
% -> (false) collapsed.
% Rule
% [189]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C) mult D,V_4) mult D,V_4))
% -> (false) collapsed.
% Rule
% [190]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C) mult D,V_4) mult D,V_4))
% -> (false) collapsed.
% Rule
% [191]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,(((C mult C) mult A) mult B) mult A),D) mult A,D))
% -> (false) collapsed.
% Rule
% [194]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((C mult C) mult D) mult
% ld(D,A)) mult B)) ->
% (false) collapsed.
% Rule
% [195]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,B) mult C) mult D,
% (B mult C) mult D)) -> (false)
% collapsed.
% Rule
% [196]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult B,C) mult B) mult D,
% C mult D)) -> (false) collapsed.
% Rule
% [197]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult (A mult B),
% (((A mult A) mult (C mult C)) mult B) mult A))
% -> (false) collapsed.
% Rule
% [199]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(C,(((D mult D) mult B) mult
% ld(B,C)) mult B) mult A))
% -> (false) collapsed.
% Rule
% [200]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(A mult B,((((C mult C) mult
% ld(D,A)) mult D) mult B) mult A)))
% -> (false) collapsed.
% Rule
% [201]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(C,ld(ld(D mult D,V_4),C) mult V_4) mult B) mult A))
% -> (false) collapsed.
% Rule
% [202]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,((((C mult C) mult D) mult
% ld(D,unit)) mult B) mult A))
% -> (false) collapsed.
% Rule
% [203]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld(C mult C,unit) mult D,D) mult B) mult A))
% -> (false) collapsed.
% Rule
% [204]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(A mult B,((((C mult C) mult D) mult
% ld(D,A)) mult B) mult A)))
% -> (false) collapsed.
% Rule
% [205]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld(C mult C,D) mult
% ld(D,V_4),V_4) mult B) mult A))
% -> (false) collapsed.
% Rule
% [206]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld(C mult C,
% ld(D,V_4)) mult D,V_4) mult B) mult A))
% -> (false) collapsed.
% Rule
% [207]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(ld((C mult C) mult A,D) mult A,
% A mult D) mult B)) ->
% (false) collapsed.
% Rule
% [221]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,ld(B,((((C mult C) mult A) mult A) mult
% ld(A,B)) mult A)))
% -> (false) collapsed.
% Rule
% [222]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,ld(ld(((B mult B) mult A) mult A,C) mult A,
% A mult C))) ->
% (false) collapsed.
% Rule
% [225]
% ld(A mult B,(A mult A) mult B) <->
% ld(ld(A mult B,ld(A,C) mult B),ld(A mult B,B mult C)) collapsed.
% Rule
% [240]
% ld(A mult B,(((A mult A) mult C) mult B) mult A) ->
% ld(A mult B,(A mult A) mult (A mult C)) mult ld(ld(A mult B,A),unit)
% collapsed.
% Rule
% [243]
% ld(A,ld(B,(((A mult A) mult (A mult C)) mult ld(A,B)) mult A)) ->
% ld(B,(((A mult A) mult C) mult ld(A,B)) mult A) collapsed.
% Rule
% [248]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld((B mult B) mult A,C) mult A,
% A mult C))) -> (false)
% collapsed.
% Rule
% [253]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,B mult B),C) mult A,
% A mult C) mult A) -> (false)
% collapsed.
% Rule
% [268]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult C) mult
% ld(C,ld(D,A))) mult D)) ->
% (false) collapsed.
% Rule
% [269]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,ld(ld(C mult C,D),B) mult D) mult
% ld(V_4,A)) mult V_4)) ->
% (false) collapsed.
% Rule
% [270]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((((B mult B) mult C) mult
% ld(C,unit)) mult ld(D,A)) mult D))
% -> (false) collapsed.
% Rule
% [271]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult C) mult
% ld(C,D)) mult ld(D,A))) ->
% (false) collapsed.
% Rule
% [272]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(B,ld(ld(C mult C,D),B) mult D) mult V_4) mult
% ld(V_4,A))) -> (false)
% collapsed.
% Rule
% [273]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((((B mult B) mult C) mult
% ld(C,unit)) mult D) mult
% ld(D,A))) -> (false)
% collapsed.
% Rule
% [274]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C),D) mult V_4,
% D mult V_4)) -> (false)
% collapsed.
% Rule
% [275]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% ld(B,unit),C) mult D,
% C mult D)) -> (false) collapsed.
% Rule
% [276]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% ld(B,C),D) mult C,D)) ->
% (false) collapsed.
% Rule
% [277]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C) mult D,V_4) mult D,V_4))
% -> (false) collapsed.
% Rule
% [278]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((((A mult A) mult B) mult
% ld(B,unit)) mult C,D) mult C,D))
% -> (false) collapsed.
% Rule
% [282]
% ld(A mult B,A) mult ld(A mult B,A) ->
% ld(ld(ld(A mult B,A),unit),ld(A mult B,A)) collapsed.
% Rule
% [288]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,((B mult B) mult A) mult C) mult
% ld(C,unit)) -> (false) collapsed.
% Rule [289] (A mult A) mult ld(A,B) -> ld(A,(A mult A) mult B) collapsed.
% Rule
% [293]
% ld(A,((A mult A) mult (A mult B)) mult (A mult A)) ->
% ((A mult A) mult B) mult (A mult A) collapsed.
% Rule [305] ld(A,ld(A mult A,A mult B)) -> ld(A mult A,B) collapsed.
% Rule [306] ld(ld(A mult A,B),ld(A mult A,A mult B)) -> A collapsed.
% Rule
% [308]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult (A mult A),
% (A mult A) mult B),B)) ->
% (false) collapsed.
% Rule
% [312]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B mult C,((D mult D) mult C) mult B),unit),A)))
% -> (false) collapsed.
% Rule
% [313]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B,((C mult C) mult D) mult
% ld(D,B)),unit),A)))
% -> (false) collapsed.
% Rule
% [314]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A),D),unit) mult D)
% -> (false) collapsed.
% Rule
% [315]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)),D),unit) mult D)
% -> (false) collapsed.
% Rule
% [323]
% ld(((A mult A) mult B) mult (A mult A),((A mult A) mult (A mult B)) mult
% (A mult A)) -> A collapsed.
% Rule
% [324]
% ld((A mult A) mult B,A) mult ld(ld((A mult A) mult B,A mult A),unit) ->
% ld(A,unit) collapsed.
% Rule
% [326]
% ld(A mult B,(A mult A) mult (A mult A)) mult ld(ld(A mult B,A),unit) ->
% ld(ld(A,unit),A mult A) collapsed.
% Rule
% [329]
% (A mult A) mult ld(B,(ld(A,B) mult C) mult A) ->
% ld(ld(B,A),unit) mult ld(B,(A mult A) mult (A mult C)) collapsed.
% Rule
% [331]
% ld(A mult B,((A mult B) mult (B mult B)) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) mult A collapsed.
% Rule
% [334]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(((A mult A) mult B) mult C) mult
% ld(B mult C,unit)) -> (false)
% collapsed.
% Rule
% [335]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A,((B mult B) mult ld(C,A)) mult C) mult D) mult
% ld(D,unit)) -> (false) collapsed.
% Rule
% [336]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(ld(A mult A,B) mult C,
% B mult C) mult D) mult ld(D,unit))
% -> (false) collapsed.
% Rule
% [337]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(ld((A mult A) mult B,C) mult B,C) mult D) mult
% ld(D,unit)) -> (false) collapsed.
% Rule
% [338]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((C mult C) mult A) mult B) mult A) mult
% ld(A,unit)) -> (false) collapsed.
% Rule
% [339]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(((A mult A) mult B) mult
% ld(B,C)) mult ld(C,unit)) ->
% (false) collapsed.
% Rule
% [340]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(A,ld(ld(B mult B,C),A) mult C) mult D) mult
% ld(D,unit)) -> (false) collapsed.
% Rule
% [341]
% (eq)((op_b mult op_b) mult (op_a mult op_a),((((A mult A) mult B) mult
% ld(B,unit)) mult C) mult
% ld(C,unit)) -> (false) collapsed.
% Rule
% [342]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult
% ld(C,A)) mult C),unit) mult D,D))
% -> (false) collapsed.
% Rule
% [343]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C),unit) mult D,D))
% -> (false) collapsed.
% Rule
% [344]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C),unit) mult D,D))
% -> (false) collapsed.
% Rule
% [345]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C),unit) mult D,D))
% -> (false) collapsed.
% Rule
% [346]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% ld(B,unit),unit) mult C,C))
% -> (false) collapsed.
% Rule
% [354]
% ld(A,((A mult B) mult ld(A,unit)) mult (A mult A)) ->
% (ld(A,unit) mult B) mult (A mult A) collapsed.
% Rule
% [355]
% ((ld(A mult A,unit) mult B) mult A) mult (A mult A) ->
% (((A mult A) mult B) mult ld(A mult A,unit)) mult A collapsed.
% Rule
% [364]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(((A mult A) mult B) mult
% ld(B,ld(C,unit))) mult C) ->
% (false) collapsed.
% Rule
% [365]
% ld((ld(A,unit) mult B) mult (A mult A),((A mult B) mult ld(A,unit)) mult
% (A mult A)) -> A collapsed.
% Rule
% [370]
% (((A mult A) mult B) mult C) mult A <->
% ((A mult A) mult ld(A mult C,(B mult C) mult A)) mult (A mult C) collapsed.
% Rule
% [371]
% ((A mult A) mult ld(A mult C,(B mult C) mult A)) mult (A mult C) <->
% (((A mult A) mult B) mult C) mult A collapsed.
% Rule [375] (A mult A) mult A -> ld(ld(A,unit),A mult A) collapsed.
% Rule
% [390]
% ld((A mult A) mult B,((A mult C) mult B) mult (A mult A)) <->
% ld((A mult A) mult B,(A mult A) mult (B mult C)) mult A collapsed.
% Rule
% [391]
% ld((A mult A) mult B,(A mult A) mult (B mult C)) mult A <->
% ld((A mult A) mult B,((A mult C) mult B) mult (A mult A)) collapsed.
% Rule
% [393]
% ld((A mult A) mult (A mult A),(A mult A) mult B) mult A ->
% ld((A mult A) mult (A mult A),(A mult A) mult (A mult B)) collapsed.
% Rule
% [395]
% ld(A,ld((A mult A) mult B,((A mult B) mult B) mult (A mult A))) ->
% ld(ld((A mult A) mult B,A mult A),unit) collapsed.
% Rule
% [397]
% ld((A mult A) mult B,((A mult B) mult ld(B,unit)) mult (A mult A)) <->
% ld((A mult A) mult B,A mult A) mult A collapsed.
% Rule
% [398]
% ld((A mult A) mult B,A mult A) mult A <->
% ld((A mult A) mult B,((A mult B) mult ld(B,unit)) mult (A mult A)) collapsed.
% Rule
% [404]
% ld(A mult B,((B mult B) mult (B mult B)) mult A) mult A <->
% ld(A mult B,((A mult B) mult ld(ld(B,unit),B mult B)) mult A) collapsed.
% Rule
% [408]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,A mult B),
% ((C mult C) mult ld(A mult A,B)) mult A))
% -> (false) collapsed.
% Rule
% [409]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,A mult B),
% ((C mult C) mult A) mult
% ld(A mult A,B))) -> (false)
% collapsed.
% Rule
% [410]
% ld(A mult B,((ld(B mult B,C) mult A) mult B) mult A) ->
% ld(A mult B,ld(B mult B,B mult C) mult A) mult A collapsed.
% Rule
% [411]
% ld(A mult B,(ld(A mult A,C) mult B) mult A) mult A ->
% ld(A mult B,(ld(A mult A,A mult C) mult B) mult A) collapsed.
% Rule
% [412]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,B) mult ld(
% B mult B,C),
% ld(B mult B,B mult C))) ->
% (false) collapsed.
% Rule
% [413]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,ld(B mult B,C)) mult B,
% ld(B mult B,B mult C))) ->
% (false) collapsed.
% Rule
% [414]
% (ld((A mult A) mult (A mult A),B) mult A) mult (A mult A) ->
% ld((A mult A) mult (A mult A),(A mult A) mult (A mult B)) collapsed.
% Rule
% [415]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(B,((((C mult C) mult D) mult
% ld(D,A)) mult
% ld(A,B)) mult A))) ->
% (false) collapsed.
% Rule
% [416]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult C,B),ld(
% ld(
% B mult C,B),unit)) mult B) mult
% ld(B,A))) -> (false)
% collapsed.
% Rule
% [417]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult B,A),ld(
% ld(
% A mult B,A),unit)) mult A,C) mult A,C))
% -> (false) collapsed.
% Rule
% [419]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(ld(A mult B,A),ld(ld(
% A mult B,A),unit)) mult A) mult
% ld(A,unit)) -> (false) collapsed.
% Rule
% [420]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult ld(A,unit),
% ((C mult C) mult A) mult
% (ld(A,unit) mult B))) -> (false)
% collapsed.
% Rule
% [421]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult ld(A,unit),
% ((ld(A,unit) mult B) mult
% (C mult C)) mult A)) -> (false)
% collapsed.
% Rule
% [424]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A mult A,ld(B,unit) mult C) mult B,
% (B mult C) mult ld(B,unit))) ->
% (false) collapsed.
% Rule
% [425]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A,unit) mult B) mult
% ld(C mult C,A),(A mult B) mult
% ld(A,unit))) ->
% (false) collapsed.
% Rule
% [426]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult B) mult ld(B,unit),
% (((C mult C) mult ld(B,unit)) mult A) mult B))
% -> (false) collapsed.
% Rule
% [437]
% (eq)((op_b mult op_b) mult (op_a mult op_a),((A mult A) mult B) mult
% ld(((A mult A) mult B) mult B,
% (A mult A) mult B)) -> (false)
% collapsed.
% Rule
% [438]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B,((C mult C) mult
% ld(D,B)) mult D),V_4),A) mult V_4))
% -> (false) collapsed.
% Rule
% [439]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(ld(B mult B,C) mult D,
% C mult D),V_4),A) mult V_4))
% -> (false) collapsed.
% Rule
% [440]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(ld((B mult B) mult C,D) mult C,D),V_4),A) mult V_4))
% -> (false) collapsed.
% Rule
% [441]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(B,ld(ld(C mult C,D),B) mult D),V_4),A) mult V_4))
% -> (false) collapsed.
% Rule
% [442]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(((B mult B) mult C) mult
% ld(C,unit),D),A) mult D))
% -> (false) collapsed.
% Rule
% [443]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult
% ld(C,A)) mult C),D) mult
% ld(D,V_4),V_4)) -> (false)
% collapsed.
% Rule
% [444]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C),D) mult ld(D,V_4),V_4))
% -> (false) collapsed.
% Rule
% [445]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C),D) mult
% ld(D,V_4),V_4)) -> (false)
% collapsed.
% Rule
% [446]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C),D) mult
% ld(D,V_4),V_4)) -> (false)
% collapsed.
% Rule
% [447]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% ld(B,unit),C) mult
% ld(C,D),D)) -> (false)
% collapsed.
% Rule
% [448]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult
% ld(C,A)) mult C),
% ld(D,V_4)) mult D,V_4)) ->
% (false) collapsed.
% Rule
% [449]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C),ld(D,V_4)) mult D,V_4))
% -> (false) collapsed.
% Rule
% [450]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C),
% ld(D,V_4)) mult D,V_4)) ->
% (false) collapsed.
% Rule
% [452]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C),
% ld(D,V_4)) mult D,V_4)) ->
% (false) collapsed.
% Rule
% [453]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult B) mult
% ld(B,unit),ld(C,D)) mult C,D))
% -> (false) collapsed.
% Rule
% [459]
% ld(A,((A mult A) mult (A mult A)) mult (A mult B)) ->
% ((A mult A) mult (A mult A)) mult B collapsed.
% Rule
% [460]
% ((A mult A) mult (A mult A)) mult (ld((A mult A) mult (A mult A),B) mult A)
% -> A mult B collapsed.
% Rule
% [461]
% ld(((A mult A) mult (A mult A)) mult B,((A mult A) mult (A mult A)) mult
% (A mult B)) -> A collapsed.
% Rule
% [462]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(B,((((C mult C) mult
% ld(D,A)) mult D) mult
% ld(A,B)) mult A))) ->
% (false) collapsed.
% Rule
% [463]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,unit) mult C,C) mult
% ld(D,A)) mult D)) -> (false)
% collapsed.
% Rule
% [464]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,C) mult
% ld(C,D),D) mult
% ld(V_4,A)) mult V_4)) ->
% (false) collapsed.
% Rule
% [465]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,ld(C,D)) mult C,D) mult
% ld(V_4,A)) mult V_4)) ->
% (false) collapsed.
% Rule
% [466]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult B,B mult C),unit) mult C)
% -> (false) collapsed.
% Rule
% [468]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult ld(C,
% ld(D,A))) mult C) mult D))
% -> (false) collapsed.
% Rule
% [469]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(((B mult B) mult ld(C,D)) mult C) mult
% ld(D,A))) -> (false)
% collapsed.
% Rule
% [470]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(((A mult A) mult ld(B,C)) mult B,D) mult C,D))
% -> (false) collapsed.
% Rule
% [471]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(B mult C) mult ld(ld(
% D mult D,B) mult C,A)))
% -> (false) collapsed.
% Rule
% [472]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld((B mult B) mult C,D) mult C,A) mult D))
% -> (false) collapsed.
% Rule
% [473]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(((C mult C) mult
% ld(A mult A,B)) mult A) mult
% (A mult A))) ->
% (false) collapsed.
% Rule
% [474]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(((A mult B) mult C) mult D,
% ((((C mult C) mult B) mult A) mult C) mult D))
% -> (false) collapsed.
% Rule
% [475]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(B,(((C mult C) mult D) mult
% ld(D,B)) mult D) mult
% ld(D,A))) -> (false)
% collapsed.
% Rule
% [476]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,unit) mult C,C) mult D) mult
% ld(D,A))) -> (false)
% collapsed.
% Rule
% [477]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,C) mult
% ld(C,D),D) mult V_4) mult
% ld(V_4,A))) -> (false)
% collapsed.
% Rule
% [478]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld(B mult B,ld(C,D)) mult C,D) mult V_4) mult
% ld(V_4,A))) -> (false)
% collapsed.
% Rule
% [480]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld((B mult B) mult C,D) mult C,
% C mult D) mult ld(C,A))) ->
% (false) collapsed.
% Rule
% [482]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,unit) mult B,B),C) mult D,
% C mult D)) -> (false) collapsed.
% Rule
% [483]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult
% ld(B,C),C),D) mult V_4,
% D mult V_4)) -> (false)
% collapsed.
% Rule
% [484]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,ld(B,C)) mult B,C),D) mult V_4,
% D mult V_4)) -> (false)
% collapsed.
% Rule
% [485]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,B) mult C) mult
% ld(B mult C,D),D)) -> (false)
% collapsed.
% Rule
% [486]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult B,C) mult B) mult
% ld(C,D),D)) -> (false)
% collapsed.
% Rule
% [488]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,(((B mult B) mult C) mult
% ld(C,A)) mult C),D) mult C,D))
% -> (false) collapsed.
% Rule
% [489]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,unit) mult B,B) mult C,D) mult C,D))
% -> (false) collapsed.
% Rule
% [490]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult
% ld(B,C),C) mult D,V_4) mult D,V_4))
% -> (false) collapsed.
% Rule
% [491]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,ld(B,C)) mult B,C) mult D,V_4) mult D,V_4))
% -> (false) collapsed.
% Rule
% [492]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,
% B mult C),D) mult B,D)) ->
% (false) collapsed.
% Rule
% [494]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld(C mult C,D),A) mult D) mult B))
% -> (false) collapsed.
% Rule
% [495]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,unit) mult B) mult C,
% B mult C)) -> (false) collapsed.
% Rule
% [496]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,B) mult ld(B,C)) mult D,
% C mult D)) -> (false) collapsed.
% Rule
% [497]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,ld(B,C)) mult B) mult D,
% C mult D)) -> (false) collapsed.
% Rule
% [498]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult B,unit) mult B) mult C,C))
% -> (false) collapsed.
% Rule
% [499]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult B,ld(C,D)) mult B) mult C,D))
% -> (false) collapsed.
% Rule
% [500]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,B mult B) mult C) mult B,
% (B mult B) mult (B mult C))) ->
% (false) collapsed.
% Rule
% [501]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld(A mult A,ld(B,unit)) mult C) mult B,
% (B mult C) mult ld(B,unit))) ->
% (false) collapsed.
% Rule
% [502]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult (B mult B),C) mult A) mult
% (A mult A),A mult C)) ->
% (false) collapsed.
% Rule
% [503]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult (A mult A),
% (A mult A) mult B) mult C,
% B mult C)) -> (false) collapsed.
% Rule
% [504]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((ld((A mult A) mult ld(B,unit),C) mult B) mult
% ld(B,unit),B mult C)) ->
% (false) collapsed.
% Rule
% [505]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld((A mult A) mult B,(((A mult A) mult
% (C mult C)) mult
% ld(A,B)) mult A))
% -> (false) collapsed.
% Rule
% [508]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(((B mult B) mult
% ld(C,A)) mult C,D) mult A,
% A mult D))) -> (false)
% collapsed.
% Rule
% [509]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(C,ld(ld(D mult D,unit),C)) mult B) mult A))
% -> (false) collapsed.
% Rule
% [510]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,((ld(ld(C mult C,D),unit) mult D) mult B) mult A))
% -> (false) collapsed.
% Rule
% [511]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,((((C mult C) mult A) mult A) mult
% ld(A,unit)) mult B))
% -> (false) collapsed.
% Rule
% [512]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(((B mult B) mult C) mult
% ld(C,A),D) mult A,
% A mult D))) -> (false)
% collapsed.
% Rule
% [513]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(ld((C mult C) mult A,unit) mult A,A) mult B))
% -> (false) collapsed.
% Rule
% [514]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,ld(ld((C mult C) mult A,
% ld(A,D)) mult A,D) mult B))
% -> (false) collapsed.
% Rule
% [515]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult B,B),unit))
% -> (false) collapsed.
% Rule
% [518]
% (((A mult A) mult B) mult ld(B,unit)) mult A ->
% ((A mult A) mult ld(A mult B,A)) mult (A mult B) collapsed.
% Rule [520] ld(B,ld(A,(A mult A) mult B) mult ld(B,unit)) -> ld(ld(A,B),unit)
% collapsed.
% Rule [525] ld(A,ld(B,(B mult B) mult A)) -> ld(ld(A,ld(B,A)),unit) collapsed.
% Rule
% [526]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A,ld(B mult B,A)),unit)) ->
% (false) collapsed.
% Rule
% [536]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,ld(ld(((B mult B) mult A) mult A,unit) mult A,A)))
% -> (false) collapsed.
% Rule
% [537]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult A,ld(ld(((B mult B) mult A) mult A,
% ld(A,C)) mult A,C)))
% -> (false) collapsed.
% Rule
% [542]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld((B mult B) mult C,C),unit) mult
% ld(D,A)) mult D)) -> (false)
% collapsed.
% Rule [545] (A mult A) mult B <-> (A mult B) mult ld(ld(A mult B,B),unit)
% collapsed.
% Rule
% [549]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A,C),unit) mult ld(A,
% (B mult B) mult C))
% -> (false) collapsed.
% Rule [551] ld(ld(ld(A mult B,B),unit),(A mult A) mult B) -> A mult B
% collapsed.
% Rule
% [555]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A mult B,((C mult C) mult B) mult A) mult D,D),unit))
% -> (false) collapsed.
% Rule
% [556]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A mult B,(ld(ld((C mult C) mult D,D),unit) mult B) mult A))
% -> (false) collapsed.
% Rule
% [557]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,(ld(ld((B mult B) mult C,C),unit) mult D) mult
% ld(D,A))) -> (false)
% collapsed.
% Rule
% [558]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,B),unit),C) mult D,
% C mult D)) -> (false) collapsed.
% Rule
% [559]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,B),unit) mult C,D) mult C,D))
% -> (false) collapsed.
% Rule
% [561]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,((B mult B) mult C) mult
% ld(C,A)) mult D,D),unit))
% -> (false) collapsed.
% Rule
% [562]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult C,
% B mult C) mult D,D),unit))
% -> (false) collapsed.
% Rule
% [563]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,C) mult B,C) mult D,D),unit))
% -> (false) collapsed.
% Rule
% [565]
% ld(ld(A,B mult C),unit) mult ld(A,(C mult C) mult B) ->
% ld(ld(A,B),unit) mult ld(A,B mult C) collapsed.
% Rule
% [566]
% (eq)((op_b mult op_b) mult (op_a mult op_a),(ld(ld((A mult A) mult B,B),unit) mult C) mult
% ld(C,unit)) -> (false) collapsed.
% Rule
% [567]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((A mult A) mult B,B) mult C,C))
% -> (false) collapsed.
% Rule
% [570]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(A,ld(ld(ld(ld((B mult B) mult C,C),unit),D),A) mult D))
% -> (false) collapsed.
% Rule
% [571]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,B),unit),C) mult
% ld(C,D),D)) -> (false)
% collapsed.
% Rule
% [572]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld((A mult A) mult B,B),unit),
% ld(C,D)) mult C,D)) -> (false)
% collapsed.
% Rule
% [573]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(A,ld(ld(B mult B,C),A) mult C) mult D,D),unit))
% -> (false) collapsed.
% Rule
% [574]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld((((A mult A) mult B) mult
% ld(B,unit)) mult C,C),unit))
% -> (false) collapsed.
% Rule
% [575]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,B) mult
% ld(B,C),C) mult D,D),unit))
% -> (false) collapsed.
% Rule
% [576]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(ld(ld(A mult A,ld(B,C)) mult B,C) mult D,D),unit))
% -> (false) collapsed.
% Rule [578] ld(ld(A,B mult B),B) -> ld(ld(A,B),unit) collapsed.
% Rule [579] ld(A mult B,B mult B) mult ld(ld(A mult B,B),unit) -> B collapsed.
% Rule
% [584]
% ld(ld(ld(A mult B,A),unit),A mult A) -> ld(A mult B,ld(ld(A,unit),A mult A))
% collapsed.
% Rule [585] ld(A mult B,B mult B) <-> ld(ld(ld(A mult B,B),unit),B) collapsed.
% Rule [588] ld(A mult A,A) -> ld(A,unit) collapsed.
% Rule
% [589]
% (eq)((op_b mult op_b) mult (op_a mult op_a),ld(ld(A,unit),A mult A) mult A)
% -> (false) collapsed.
% Rule [590] ld(A mult A,unit) mult ld(ld(A,unit),A mult A) -> A collapsed.
% Rule
% [591]
% ((A mult A) mult B) mult ld(A,unit) -> (ld(A,unit) mult B) mult (A mult A)
% collapsed.
% Rule [592] ld(B,ld(B,ld(ld(B,unit),B mult B))) mult ld(B,A) -> A collapsed.
% Rule
% [593]
% (ld(ld(A,unit),A mult A) mult B) mult A ->
% (A mult B) mult ld(ld(A,unit),A mult A) collapsed.
% Rule
% [594] ld((A mult A) mult (A mult A),ld(ld(A,unit),A mult A)) -> ld(A,unit)
% collapsed.
% Rule
% [595]
% ld(A mult A,A mult B) mult ld(A,unit) ->
% ld(A mult A,(A mult B) mult ld(A,unit)) collapsed.
% Rule
% [596]
% ld(A,(A mult B) mult ld(ld(A,unit),A mult A)) ->
% ld(ld(A,unit),A mult A) mult B collapsed.
% Rule
% [597]
% ld(ld(A mult B,ld(ld(A,unit),A mult A)),A mult A) -> ld(ld(A mult B,A),unit)
% collapsed.
% Rule
% [598] ld(A,ld(ld(ld(ld(A,unit),A mult A),B) mult A,A mult B)) -> A mult A
% collapsed.
% Rule
% [599]
% ld(A mult B,ld(ld(B,unit),B mult B) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) collapsed.
% Rule
% [601]
% (ld(ld(A,unit),A mult A) mult B) mult (A mult A) ->
% ((A mult A) mult B) mult ld(ld(A,unit),A mult A) collapsed.
% Rule
% [602]
% (ld(ld(A,unit),A mult A) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),A mult A) collapsed.
% Rule
% [603]
% (A mult A) mult ld(ld(ld(A,unit),A mult A),B) ->
% ld(ld(ld(A,unit),A mult A),(A mult A) mult B) collapsed.
% Current number of equations to process: 2709
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [606]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(A,unit),A)) ->
% (false)
% Current number of equations to process: 2708
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [607]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),unit) -> (false)
% Current number of equations to process: 2707
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [608] ld(ld(A,ld(ld(B,unit),B)),B) -> ld(ld(A,B),unit)
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [609] ld(ld(A,unit),A) mult A -> ld(ld(A,unit),ld(ld(A,unit),A))
% Current number of equations to process: 2705
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [610] (ld(ld(A,unit),A) mult B) mult A -> (A mult B) mult ld(ld(A,unit),A)
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [611] ld(ld(ld(A,unit),A),B) mult A -> ld(ld(ld(A,unit),A),A mult B)
% Current number of equations to process: 2703
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [612] ld(ld(A,unit),A) mult ld(A,B) -> ld(A,ld(ld(A,unit),A) mult B)
% Current number of equations to process: 2702
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [613] ld(A,(A mult B) mult ld(ld(A,unit),A)) -> ld(ld(A,unit),A) mult B
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [614] ld(A,ld(ld(ld(A,unit),A),A mult B)) -> ld(ld(ld(A,unit),A),B)
% Current number of equations to process: 2700
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [615] ld(A,ld(B,ld(ld(B,unit),B) mult A)) -> ld(ld(A,ld(B,A)),unit)
% Current number of equations to process: 2699
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [616]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),(ld(ld(A,unit),A) mult B) mult
% ld(B,unit)) ->
% (false)
% Current number of equations to process: 2705
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [617]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(A,unit),A),unit) mult B,B))
% -> (false)
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [618]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,ld(ld(ld(
% ld(B,unit),B),unit),A)))
% -> (false)
% Current number of equations to process: 2703
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [619]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(A,unit),A),B),unit) mult B)
% -> (false)
% Current number of equations to process: 2702
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [620]
% (ld(ld(A,unit),A) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),A)
% Current number of equations to process: 2702
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [621]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(A,unit),
% ld(ld(A,unit),A)) mult A)
% -> (false)
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [622]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(A,ld(ld(
% ld(B,unit),B),A)),unit))
% -> (false)
% Current number of equations to process: 2700
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [623]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(A,unit),A) mult B,B),unit))
% -> (false)
% Current number of equations to process: 2699
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [624] ld(ld(ld(A mult B,B),unit),ld(ld(A,unit),A) mult B) -> A mult B
% Current number of equations to process: 2698
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [625] ld(ld(ld(A,unit),A) mult B,(A mult B) mult ld(ld(A,unit),A)) -> A
% Current number of equations to process: 2696
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [626] ld(ld(ld(ld(A,unit),A),B),ld(ld(ld(A,unit),A),A mult B)) -> A
% Current number of equations to process: 2703
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [627] ld(ld(ld(A,unit),A),unit) mult ld(ld(A,unit),ld(ld(A,unit),A)) -> A
% Current number of equations to process: 2702
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [628] ld(B,ld(A,ld(ld(A,unit),A) mult B) mult ld(B,unit)) -> ld(ld(A,B),unit)
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [629] ld(B,ld(B,ld(ld(B,unit),ld(ld(B,unit),B)))) mult ld(B,A) -> A
% Current number of equations to process: 2700
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [630] ld(A mult B,ld(ld(B,unit),B)) mult ld(ld(A mult B,B),unit) -> B
% Current number of equations to process: 2699
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [631]
% ld(ld(ld(ld(A,unit) mult B,ld(A,unit)),unit),A) -> ld(ld(A,unit) mult B,unit)
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [632]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A mult B,(
% ld(
% ld(C,unit),C) mult B) mult A))
% -> (false)
% Current number of equations to process: 2705
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [633]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(A,unit),A) mult B,C) mult B,C))
% -> (false)
% Current number of equations to process: 2701
% Current number of ordered equations: 3
% Current number of rules: 192
% New rule produced :
% [634]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(A,unit),A),B) mult C,
% B mult C)) -> (false)
% Current number of equations to process: 2701
% Current number of ordered equations: 2
% Current number of rules: 193
% New rule produced :
% [635]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,(ld(ld(B,unit),B) mult C) mult
% ld(C,A))) ->
% (false)
% Current number of equations to process: 2701
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [636]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(A,C),unit) mult
% ld(A,ld(ld(B,unit),B) mult C))
% -> (false)
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [637]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,ld(ld(ld(
% ld(B,unit),B),C),A) mult C))
% -> (false)
% Current number of equations to process: 2700
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [638]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(A,unit),A),
% ld(B,C)) mult B,C))
% -> (false)
% Current number of equations to process: 2698
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [639]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(A,unit),A),B) mult
% ld(B,C),C)) ->
% (false)
% Current number of equations to process: 2698
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [640]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(A,unit),A) mult B,B) mult C,C))
% -> (false)
% Current number of equations to process: 2697
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [641]
% (ld(ld(A,unit),ld(ld(A,unit),A)) mult B) mult A ->
% (A mult B) mult ld(ld(A,unit),ld(ld(A,unit),A))
% Current number of equations to process: 2696
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [642]
% ld(ld(ld(A,unit),A),A mult B) mult ld(A,unit) ->
% ld(ld(ld(A,unit),A),(A mult B) mult ld(A,unit))
% Current number of equations to process: 2695
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [643]
% ld(ld(ld(A mult B,A),unit),ld(ld(A,unit),A)) ->
% ld(A mult B,ld(ld(A,unit),ld(ld(A,unit),A)))
% Current number of equations to process: 2694
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [644]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(A,unit),
% ld(ld(A,unit),A)) mult
% ld(ld(A,unit),A),B) mult A,B))
% -> (false)
% Current number of equations to process: 2693
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [645]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A mult B,(
% ld(
% ld(B,unit),
% ld(
% ld(B,unit),B)) mult
% ld(
% ld(B,unit),B)) mult A))
% -> (false)
% Current number of equations to process: 2692
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [646]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,(ld(ld(B,unit),
% ld(ld(B,unit),B)) mult
% ld(ld(B,unit),B)) mult
% ld(B,A))) ->
% (false)
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [647]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(A,unit),
% ld(ld(A,unit),A)),
% (ld(ld(B,unit),B) mult A) mult A) mult A)
% -> (false)
% Current number of equations to process: 2689
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [648]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,(ld(ld(B,unit),B) mult A) mult C) mult
% ld(C,unit)) ->
% (false)
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [649]
% ld(ld(ld(ld(A,unit),A) mult B,ld(ld(A,unit),ld(ld(A,unit),A))),A) ->
% ld(ld(ld(ld(A,unit),A) mult B,ld(ld(A,unit),A)),unit)
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [650]
% ld(A,(A mult B) mult ld(ld(A,unit),ld(ld(A,unit),A))) ->
% ld(ld(A,unit),ld(ld(A,unit),A)) mult B
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [651]
% ld(A mult B,ld(ld(A,unit),ld(ld(A,unit),A))) mult ld(ld(A mult B,A),unit) ->
% ld(ld(A,unit),A)
% Current number of equations to process: 2685
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [652]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),((ld(ld(A,unit),A) mult B) mult C) mult
% ld(B mult C,unit)) ->
% (false)
% Current number of equations to process: 2684
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [653]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),((ld(ld(A,unit),A) mult B) mult
% ld(B,C)) mult
% ld(C,unit)) ->
% (false)
% Current number of equations to process: 2683
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [654]
% ld(A,((A mult B) mult ld(A,unit)) mult ld(ld(A,unit),A)) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),A)
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [655]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),((ld(ld(A,unit),A) mult B) mult
% ld(B,ld(C,unit))) mult C)
% -> (false)
% Current number of equations to process: 2681
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [656]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(A,unit),
% ld(ld(A,unit),A)),
% ((ld(ld(B,unit),B) mult A) mult A) mult A))
% -> (false)
% Current number of equations to process: 2680
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [657]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(A,unit),
% ld(ld(A,unit),A)),
% (ld(ld(B,unit),B) mult A) mult
% ld(ld(A,unit),A))) ->
% (false)
% Current number of equations to process: 2679
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [658]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(A,unit),A),
% ld(ld(B,unit),B)) mult B,
% ld(ld(B,unit),
% ld(ld(B,unit),B))))
% -> (false)
% Current number of equations to process: 2678
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [659]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(B,unit),B),A) mult
% ld(ld(A,unit),A),
% ld(ld(A,unit),
% ld(ld(A,unit),A))))
% -> (false)
% Current number of equations to process: 2677
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [660]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(ld(A,unit),A) mult B,
% B mult C),unit) mult C)
% -> (false)
% Current number of equations to process: 2676
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [661]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld((ld(ld(ld(A,unit),A),unit) mult B) mult C,
% B mult C)) -> (false)
% Current number of equations to process: 2675
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [662]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld((ld(ld(ld(A,unit),A) mult B,unit) mult B) mult C,C))
% -> (false)
% Current number of equations to process: 2674
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [663]
% ld(A mult B,ld(ld(B,unit),ld(ld(B,unit),B)) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit))
% Current number of equations to process: 2673
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [664]
% ld(A,ld(ld(ld(ld(A,unit),ld(ld(A,unit),A)),B) mult A,A mult B)) ->
% ld(ld(A,unit),A)
% Current number of equations to process: 2672
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [665]
% ((ld(ld(A,unit),A) mult B) mult ld(B,unit)) mult A ->
% (ld(A mult B,A) mult ld(ld(A,unit),A)) mult (A mult B)
% Current number of equations to process: 2671
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [666]
% ld(ld(ld(ld(ld(A,unit),A) mult B,ld(ld(A,unit),A)),unit),A) ->
% ld(ld(ld(A,unit),A) mult B,ld(ld(A,unit),ld(ld(A,unit),A)))
% Current number of equations to process: 2670
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [667]
% ld(ld(A,unit) mult B,A) mult ld(ld(ld(A,unit) mult B,ld(A,unit)),unit) ->
% ld(ld(A,unit),A)
% Current number of equations to process: 2669
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [668]
% ld(ld(ld(ld(A,unit),A),B) mult ld(A,unit),ld(ld(ld(A,unit),A),(A mult B) mult
% ld(A,unit))) ->
% A
% Current number of equations to process: 2668
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [669]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld((A mult B) mult C,
% ((ld(ld(D,unit),D) mult B) mult A) mult C))
% -> (false)
% Current number of equations to process: 2667
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [670]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A mult B,(
% (
% ld(
% ld(C,unit),C) mult
% ld(D,B)) mult D) mult A))
% -> (false)
% Current number of equations to process: 2684
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [671]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,((ld(ld(B,unit),B) mult C) mult D) mult
% ld(C mult D,A)))
% -> (false)
% Current number of equations to process: 2683
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [672]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld((A mult B) mult
% ld((ld(ld(C,unit),C) mult B) mult A,D),D))
% -> (false)
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [673]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld((ld(ld(ld(A,unit),A) mult B,C) mult B) mult D,
% C mult D)) -> (false)
% Current number of equations to process: 2679
% Current number of ordered equations: 2
% Current number of rules: 232
% New rule produced :
% [674]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld((ld(ld(ld(A,unit),A),B) mult C) mult D,
% (B mult C) mult D))
% -> (false)
% Current number of equations to process: 2679
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [675]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A mult B,(
% (
% ld(
% ld(C,unit),C) mult D) mult
% ld(D,A)) mult B))
% -> (false)
% Current number of equations to process: 2679
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [676] ld(A mult B,ld(ld(A,unit),A) mult B) -> ld(ld(A mult B,B),unit)
% Current number of equations to process: 2678
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [677]
% ld(ld(A mult B,ld(ld(A,unit),ld(ld(A,unit),A))),ld(ld(A,unit),A)) ->
% ld(ld(A mult B,A),unit)
% Current number of equations to process: 2677
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [678]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,ld(ld(ld(
% ld(B,unit),B) mult A,C) mult A,
% A mult C))) ->
% (false)
% Current number of equations to process: 2676
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [679]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(ld(A,ld(
% ld(B,unit),B)),C) mult A,
% A mult C) mult A) ->
% (false)
% Current number of equations to process: 2675
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [680]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,((ld(ld(B,unit),B) mult C) mult
% ld(C,ld(D,A))) mult D))
% -> (false)
% Current number of equations to process: 2674
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [681]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,((ld(ld(B,unit),B) mult C) mult
% ld(C,D)) mult
% ld(D,A))) ->
% (false)
% Current number of equations to process: 2673
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [682]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld((ld(ld(A,unit),A) mult B) mult
% ld(B,C),D) mult C,D))
% -> (false)
% Current number of equations to process: 2672
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [683]
% (ld(ld(A,unit),ld(ld(A,unit),A)) mult B) mult ld(A,unit) ->
% (ld(A,unit) mult B) mult ld(ld(A,unit),ld(ld(A,unit),A))
% Current number of equations to process: 2671
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [684]
% ld(A mult B,((A mult B) mult ld(ld(B,unit),B)) mult A) ->
% ld(ld(A mult B,A),ld(ld(A mult B,A),unit)) mult A
% Current number of equations to process: 2670
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [685]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),(((ld(ld(A,unit),A) mult B) mult
% ld(B,unit)) mult C) mult
% ld(C,unit)) ->
% (false)
% Current number of equations to process: 2669
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [686]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld((ld(ld(A,unit),A) mult B) mult
% ld(B,unit),unit) mult C,C))
% -> (false)
% Current number of equations to process: 2668
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [687]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld((ld(ld(A,unit),A) mult
% ld(B,C)) mult B,D) mult C,D))
% -> (false)
% Current number of equations to process: 2665
% Current number of ordered equations: 2
% Current number of rules: 246
% New rule produced :
% [688]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,((ld(ld(B,unit),B) mult
% ld(C,D)) mult C) mult
% ld(D,A))) ->
% (false)
% Current number of equations to process: 2665
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [689]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,((ld(ld(B,unit),B) mult
% ld(C,ld(D,A))) mult C) mult D))
% -> (false)
% Current number of equations to process: 2665
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [690]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,ld(ld(ld(
% ld(B,unit),B) mult C,D) mult C,A) mult D))
% -> (false)
% Current number of equations to process: 2663
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [691]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A,(B mult C) mult
% ld(ld(ld(
% ld(D,unit),D),B) mult C,A)))
% -> (false)
% Current number of equations to process: 2663
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [692]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld((ld(ld(ld(A,unit),A) mult B,C) mult B) mult
% ld(C,D),D)) ->
% (false)
% Current number of equations to process: 2661
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [693]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld((ld(ld(ld(A,unit),A),B) mult C) mult
% ld(B mult C,D),D))
% -> (false)
% Current number of equations to process: 2661
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [694]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(A mult B,(
% ld(
% ld(
% ld(
% ld(C,unit),C),D),A) mult D) mult B))
% -> (false)
% Current number of equations to process: 2660
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [695]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld((ld(ld(ld(A,unit),A),
% ld(B,C)) mult B) mult D,
% C mult D)) -> (false)
% Current number of equations to process: 2658
% Current number of ordered equations: 1
% Current number of rules: 254
% New rule produced :
% [696]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld((ld(ld(ld(A,unit),A),B) mult
% ld(B,C)) mult D,
% C mult D)) -> (false)
% Current number of equations to process: 2658
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [697]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld((ld(ld(ld(A,unit),A) mult B,
% ld(C,D)) mult B) mult C,D))
% -> (false)
% Current number of equations to process: 2657
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [698]
% ld(ld(A,B mult C),unit) mult ld(A,ld(ld(C,unit),C) mult B) ->
% ld(ld(A,B),unit) mult ld(A,B mult C)
% Current number of equations to process: 2656
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [699]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),(ld(ld(ld(ld(A,unit),A) mult B,B),unit) mult C) mult
% ld(C,unit)) ->
% (false)
% Current number of equations to process: 2655
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [700]
% (eq)(ld(ld(op_b,unit),op_b) mult ld(ld(op_a,unit),op_a),ld(ld(((ld(ld(A,unit),A) mult B) mult
% ld(B,unit)) mult C,C),unit))
% -> (false)
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [701]
% ld(A mult B,(((A mult B) mult A) mult ld(A,unit)) mult B) ->
% (ld(A mult B,B) mult B) mult ld(ld(A mult B,B),unit)
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [702]
% (((ld(ld(A mult B,A),unit) mult A) mult A) mult A) mult (A mult B) ->
% ((((A mult B) mult A) mult A) mult B) mult A
% Current number of equations to process: 2652
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [703]
% ld((ld(ld(A mult B,A),unit) mult A) mult A,(((A mult B) mult A) mult B) mult A)
% -> A mult B
% Current number of equations to process: 2651
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [704]
% ld(ld(A,unit) mult B,((A mult B) mult ld(B,unit)) mult ld(A,unit)) ->
% ld(ld(A,unit) mult B,ld(A,unit)) mult A
% Current number of equations to process: 2649
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [705]
% ld(A,ld(ld(A,unit) mult B,((A mult B) mult B) mult ld(A,unit))) ->
% ld(ld(ld(A,unit) mult B,ld(A,unit)),unit)
% Current number of equations to process: 2648
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [706]
% ld(ld(A,unit) mult B,((A mult C) mult B) mult ld(A,unit)) <->
% ld(ld(A,unit) mult B,(B mult C) mult ld(A,unit)) mult A
% Current number of equations to process: 2647
% Current number of ordered equations: 1
% Current number of rules: 265
% New rule produced :
% [707]
% ld(ld(A,unit) mult B,(B mult C) mult ld(A,unit)) mult A <->
% ld(ld(A,unit) mult B,((A mult C) mult B) mult ld(A,unit))
% Current number of equations to process: 2647
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [708]
% ld(A mult B,(ld(ld(B,unit),C) mult B) mult A) ->
% ld(ld(A mult B,A),ld(A mult B,(B mult C) mult A))
% Rule
% [238]
% ld(A mult B,(ld(ld(B,unit),C) mult B) mult A) mult ld(A mult B,A) ->
% ld(A mult B,(B mult C) mult A) collapsed.
% Current number of equations to process: 2679
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [709]
% ld((ld(A,B) mult C) mult ld(A,unit),((A mult C) mult ld(A,unit)) mult
% (ld(A,unit) mult B)) -> A
% Current number of equations to process: 2683
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [710]
% ld(ld(A,ld(B,A)),ld(A,((B mult C) mult ld(B,unit)) mult ld(B,A))) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [711]
% (ld(A,ld(B,A) mult C) mult ld(A,ld(B,A) mult D)) mult A <->
% ((ld(B,C) mult ld(B,D)) mult B) mult ld(B,A)
% Current number of equations to process: 2681
% Current number of ordered equations: 1
% Current number of rules: 269
% New rule produced :
% [712]
% ((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)) mult A
% Current number of equations to process: 2681
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [713]
% ((ld(A,unit) mult B) mult C) mult ld(A mult C,unit) <->
% ((B mult C) mult ld(A mult C,unit)) mult (ld(A mult C,unit) mult C)
% Current number of equations to process: 2680
% Current number of ordered equations: 1
% Current number of rules: 271
% New rule produced :
% [714]
% ((B mult C) mult ld(A mult C,unit)) mult (ld(A mult C,unit) mult C) <->
% ((ld(A,unit) mult B) mult C) mult ld(A mult C,unit)
% Current number of equations to process: 2680
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [715]
% ld(A,ld(A mult B,((A mult C) mult B) mult A) mult ld(ld(A,unit),A)) ->
% ld(A mult B,(B mult C) mult A) mult ld(ld(A,unit),A)
% Current number of equations to process: 2679
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [716]
% ld(A,(ld(ld(B,A),unit) mult ld(B,(A mult C) mult A)) mult ld(ld(A,unit),A))
% -> (ld(ld(B,A),unit) mult ld(B,A mult C)) mult ld(ld(A,unit),A)
% Current number of equations to process: 2678
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [717]
% ld(A,((A mult B) mult ld(ld(A,unit),A)) mult ld(ld(A,unit),A)) ->
% (ld(ld(A,unit),A) mult B) mult ld(ld(A,unit),A)
% Current number of equations to process: 2677
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [718]
% ld(ld(ld(A,unit),A) mult B,ld(ld(A,unit),ld(ld(A,unit),A))) mult ld(ld(
% ld(
% ld(A,unit),A) mult B,
% ld(
% ld(A,unit),A)),unit)
% -> A
% Current number of equations to process: 2675
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [719]
% ld(A,ld(A mult B,((A mult B) mult ld(ld(B,unit),ld(ld(B,unit),B))) mult A))
% -> ld(A mult B,ld(ld(ld(ld(B,unit),B),unit),ld(ld(B,unit),B)) mult A)
% Current number of equations to process: 2673
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [720]
% ld(ld(B,A),unit) mult ld(B,ld(ld(ld(ld(A,unit),A),unit),ld(ld(A,unit),A))) ->
% ld(ld(A,unit),ld(ld(A,unit),A))
% Current number of equations to process: 2672
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [721]
% ld(A,ld(ld(B,A),unit) mult ld(B,ld(ld(ld(A,unit),A),(A mult C) mult A))) ->
% ld(ld(B,A),unit) mult ld(B,ld(ld(ld(A,unit),A),A mult C))
% Current number of equations to process: 2671
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [722]
% (ld(ld(ld(A,unit),A),unit) mult B) mult A ->
% (A mult B) mult ld(ld(ld(A,unit),A),unit)
% Current number of equations to process: 2670
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [723]
% ld(A,ld(ld(B,A),unit) mult ld(B,((A mult C) mult A) mult ld(A,unit))) ->
% ld(ld(B,A),unit) mult ld(B,(A mult C) mult ld(A,unit))
% Current number of equations to process: 2669
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [724]
% ((A mult B) mult ld(A,ld(A mult B,(B mult C) mult A))) mult B ->
% (ld(A mult B,B mult C) mult B) mult (A mult B)
% Current number of equations to process: 2668
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [725]
% ((((ld(B,C) mult A) mult A) mult A) mult B) mult A ->
% (((ld(A mult B,A mult C) mult A) mult A) mult A) mult (A mult B)
% Rule
% [246]
% ld(A mult B,((((ld(A,C) mult B) mult B) mult B) mult A) mult B) ->
% ((ld(A mult B,B mult C) mult B) mult B) mult B collapsed.
% Current number of equations to process: 2665
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [726]
% ld(A mult B,(ld(B,C) mult A) mult A) mult ld(ld(A mult B,A),unit) ->
% ld(A mult B,A mult C) mult A
% Current number of equations to process: 2664
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [727]
% ld(A,((A mult B) mult ld(ld(A,unit),A)) mult ld(ld(ld(ld(A,unit),A),unit),
% ld(ld(A,unit),A))) ->
% (ld(ld(A,unit),A) mult B) mult ld(ld(ld(ld(A,unit),A),unit),ld(ld(A,unit),A))
% Current number of equations to process: 2663
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [728]
% ld(A,ld(A mult B,(((A mult C) mult ld(A,B)) mult A) mult A)) ->
% ld(A mult B,((ld(A,B) mult C) mult A) mult A)
% Current number of equations to process: 2662
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [729]
% ld(ld(A,ld(ld(B,C),A) mult B),ld(A,ld(ld(B,C),A) mult C)) ->
% ld(ld(A,ld(ld(B,C),A)),unit)
% Current number of equations to process: 2661
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [730]
% ld(ld(ld(ld(A,B) mult C,C),unit),ld(ld(A,B) mult C,B mult C)) ->
% ld(ld(A,B) mult C,A mult C)
% Current number of equations to process: 2660
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [731]
% ld(ld(ld(A,op_b) mult B,A mult B),ld(ld(A,op_b) mult B,op_b mult B)) ->
% ld(ld(ld(A,op_b) mult B,B),unit)
% Current number of equations to process: 2659
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [732]
% ld(ld(ld(A mult B,A),unit),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: 2657
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [733]
% ld(A,(ld(ld(B,unit),C) mult B) mult ld(B,A)) mult ld(A,ld(B,A)) ->
% ld(A,(B mult C) mult ld(B,A))
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [734]
% ld(A,ld(ld(B,C),ld(C,(A mult B) mult ld(B,C))) mult C) ->
% ld(ld(A,ld(B,C)),unit) mult ld(A,C)
% Current number of equations to process: 2697
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced : [735] ld(A,ld(ld(A,unit),A)) -> A
% Current number of equations to process: 2906
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [736] ld(ld(ld(A,ld(A,unit)),unit) mult A,A) mult A -> ld(A,unit)
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [737] ld(ld(ld(A,unit),B) mult A,A mult B) mult C -> ld(A,unit) mult C
% Rule [252] ld(ld(ld(A,unit),B) mult A,A mult B) mult A -> unit collapsed.
% Current number of equations to process: 3227
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [738] ld(ld(ld(ld(A,unit),C) mult A,A mult C),unit) mult B -> A mult B
% Current number of equations to process: 3226
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [739]
% ld(ld(A mult B,B) mult B,((A mult B) mult ld(A,unit)) mult B) -> A mult B
% Current number of equations to process: 3415
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [740]
% ((ld(C,A) mult B) mult ld(B,unit)) mult ((B mult C) mult ld(B,unit)) ->
% (A mult B) mult ld(B,unit)
% Current number of equations to process: 3523
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [741]
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult ((A mult C) mult ld(A,unit)))
% <-> (B mult C) mult A
% Current number of equations to process: 3522
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [742]
% (B mult C) mult A <->
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult ((A mult C) mult ld(A,unit)))
% Current number of equations to process: 3522
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [743]
% ld((A mult B) mult ld(B,unit),((A mult C) mult B) mult ld(B,unit)) ->
% (B mult C) mult ld(B,unit)
% Current number of equations to process: 3745
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [744]
% (ld(ld(A,B),C) mult A) mult ld(A,unit) ->
% ld(ld(A,unit) mult B,(A mult C) mult ld(A,unit))
% Rule
% [258]
% ((ld(ld(A,C),B) mult A) mult ld(A,unit)) mult (ld(A,unit) mult C) ->
% (A mult B) mult ld(A,unit) collapsed.
% Rule [349] (ld(ld(A,unit),B) mult A) mult ld(A,unit) -> A mult B collapsed.
% Current number of equations to process: 3962
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [745]
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult C) <->
% (ld(A,ld(ld(A,unit),C)) mult B) mult A
% Current number of equations to process: 3976
% Current number of ordered equations: 1
% Current number of rules: 299
% New rule produced :
% [746]
% (ld(A,ld(ld(A,unit),C)) mult B) mult A <->
% ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult C)
% Current number of equations to process: 3976
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [747]
% ld(ld(A,unit),(ld(A,unit) mult B) mult (ld(A,unit) mult C)) <->
% (ld(A,B) mult ld(A,C)) mult A
% Current number of equations to process: 3975
% Current number of ordered equations: 1
% Current number of rules: 301
% Rule [712]
% ((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)) mult A is composed into
% [712]
% ((ld(B,C) mult ld(B,D)) mult B) mult ld(B,A) <->
% ld(ld(A,unit),((ld(B,A) mult C) mult ld(A,unit)) mult ((ld(B,A) mult D) mult
% ld(A,unit)))
% New rule produced :
% [748]
% (ld(A,B) mult ld(A,C)) mult A <->
% ld(ld(A,unit),(ld(A,unit) mult B) mult (ld(A,unit) mult C))
% Rule
% [363]
% (ld(A mult C,B mult C) mult ld(A mult C,C)) mult (A mult C) ->
% (ld(A,unit) mult B) mult C collapsed.
% Rule
% [711]
% (ld(A,ld(B,A) mult C) mult ld(A,ld(B,A) mult D)) mult A <->
% ((ld(B,C) mult ld(B,D)) mult B) mult ld(B,A) collapsed.
% Current number of equations to process: 3977
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [749]
% ld(A,((A mult B) mult ld(A,unit)) mult (A mult C)) <->
% (ld(ld(A,unit),C) mult B) mult ld(A,unit)
% Current number of equations to process: 3981
% Current number of ordered equations: 1
% Current number of rules: 301
% New rule produced :
% [750]
% (ld(ld(A,unit),C) mult B) mult ld(A,unit) <->
% ld(A,((A mult B) mult ld(A,unit)) mult (A mult C))
% Current number of equations to process: 3981
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [751]
% (ld(ld(A,unit),C) mult ld(A,B)) mult A ->
% ld(ld(A,unit),(ld(A,unit) mult B) mult (A mult C))
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [752]
% ld(A,ld(ld(B,unit),(ld(B,unit) mult A) mult (ld(B,unit) mult C))) <->
% ld(ld(A,B),unit) mult ld(A,C)
% Current number of equations to process: 4106
% Current number of ordered equations: 1
% Current number of rules: 304
% New rule produced :
% [753]
% ld(ld(A,B),unit) mult ld(A,C) <->
% ld(A,ld(ld(B,unit),(ld(B,unit) mult A) mult (ld(B,unit) mult C)))
% Current number of equations to process: 4106
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [754]
% ld(A,ld(ld(A,unit),((A mult B) mult ld(A,unit)) mult (ld(A,unit) mult C))) ->
% ld(A,C) mult B
% Current number oCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------