TSTP Solution File: LDA040-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : LDA040-1 : TPTP v6.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n149.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 00:28:29 EDT 2014
% Result : Timeout 300.05s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : LDA040-1 : TPTP v6.0.0. Released v4.1.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n149.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 : Thu Jun 5 17:34:58 CDT 2014
% % CPUTime : 300.05
% Processing problem /tmp/CiME_18614_n149.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " x2,x1,x0 : constant; product : 2;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% product(A,A) = A;
% product(A,product(B,C)) = product(product(A,B),product(A,C));
% product(product(product(A,B),product(product(C,A),A)),product(product(product(A,B),C),product(product(C,A),D))) = product(product(product(A,B),product(C,A)),product(product(product(A,B),product(A,C)),product(product(C,A),D)));
% ";
%
% let s1 = status F "
% x2 lr_lex;
% x1 lr_lex;
% x0 lr_lex;
% product mul;
% ";
%
% let p1 = precedence F "
% product > x0 > x1 > x2";
%
% let s2 = status F "
% x2 mul;
% x1 mul;
% x0 mul;
% product mul;
% ";
%
% let p2 = precedence F "
% product > x0 = x1 = x2";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " product(product(product(x0,product(x1,x0)),product(product(x1,x0),x0)),product(product(x0,x1),x2)) = product(product(product(x0,product(x1,x0)),product(x1,x0)),product(product(x0,product(x0,x1)),x2));"
% ;
% (*
% 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 = { product(A,A) = A,
% product(A,product(B,C)) =
% product(product(A,B),product(A,C)),
% product(product(product(A,B),product(product(C,A),A)),
% product(product(product(A,B),C),product(
% product(C,A),D)))
% =
% product(product(product(A,B),product(C,A)),
% product(product(product(A,B),product(A,C)),
% product(product(C,A),D))) } (3 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 = { product(product(product(x0,product(x1,x0)),
% product(product(x1,x0),x0)),
% product(product(x0,x1),x2)) =
% product(product(product(x0,product(x1,x0)),
% product(x1,x0)),product(product(x0,
% product(x0,x1)),x2)) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] product(A,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 1
% New rule produced :
% [2] product(A,product(B,C)) <-> product(product(A,B),product(A,C))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 2
% New rule produced :
% [3] product(product(A,B),product(A,C)) <-> product(A,product(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4]
% product(product(product(A,B),product(C,A)),product(product(product(A,B),
% product(A,C)),product(
% product(C,A),D)))
% ->
% product(product(product(A,B),product(product(C,A),A)),product(product(
% product(A,B),C),
% product(product(C,A),D)))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] product(A,product(B,A)) <-> product(product(A,B),A)
% Current number of equations to process: 3
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced : [6] product(product(A,B),A) <-> product(A,product(B,A))
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% product(A,product(product(B,C),product(B,D))) <->
% product(product(A,B),product(A,product(C,D)))
% Current number of equations to process: 5
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [8]
% product(product(A,B),product(A,product(C,D))) <->
% product(A,product(product(B,C),product(B,D)))
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% product(A,product(product(B,C),D)) <->
% product(product(product(A,B),product(A,C)),product(A,D))
% Current number of equations to process: 2
% Current number of ordered equations: 5
% Current number of rules: 9
% New rule produced :
% [10]
% product(A,product(B,product(C,D))) <->
% product(product(A,B),product(product(A,C),product(A,D)))
% Current number of equations to process: 2
% Current number of ordered equations: 4
% Current number of rules: 10
% New rule produced :
% [11]
% product(A,product(B,product(C,D))) <->
% product(product(A,product(B,C)),product(A,product(B,D)))
% Current number of equations to process: 2
% Current number of ordered equations: 3
% Current number of rules: 11
% New rule produced :
% [12]
% product(product(A,B),product(product(A,C),product(A,D))) <->
% product(A,product(B,product(C,D)))
% Current number of equations to process: 2
% Current number of ordered equations: 2
% Current number of rules: 12
% New rule produced :
% [13]
% product(product(product(A,B),product(A,C)),product(A,D)) <->
% product(A,product(product(B,C),D))
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced :
% [14]
% product(product(A,product(B,C)),product(A,product(B,D))) <->
% product(A,product(B,product(C,D)))
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% product(product(A,B),product(product(A,C),D)) <->
% product(product(A,product(B,C)),product(product(A,B),D))
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 15
% New rule produced :
% [16]
% product(product(A,B),product(C,product(A,D))) <->
% product(product(product(A,B),C),product(A,product(B,D)))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 16
% New rule produced :
% [17]
% product(product(A,product(B,C)),product(product(A,B),D)) <->
% product(product(A,B),product(product(A,C),D))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [18]
% product(product(product(A,B),C),product(A,product(B,D))) <->
% product(product(A,B),product(C,product(A,D)))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19]
% product(A,product(product(B,C),B)) <->
% product(product(A,B),product(A,product(C,B)))
% Current number of equations to process: 29
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [20]
% product(product(A,B),product(A,product(C,B))) <->
% product(A,product(product(B,C),B))
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21]
% product(A,product(product(B,A),C)) <->
% product(product(product(A,B),A),product(A,C))
% Current number of equations to process: 26
% Current number of ordered equations: 5
% Current number of rules: 21
% New rule produced :
% [22]
% product(A,product(B,product(A,B))) <->
% product(product(product(A,B),A),product(A,B))
% Current number of equations to process: 26
% Current number of ordered equations: 4
% Current number of rules: 22
% New rule produced :
% [23]
% product(A,product(B,product(C,A))) <->
% product(product(A,B),product(product(A,C),A))
% Current number of equations to process: 26
% Current number of ordered equations: 3
% Current number of rules: 23
% New rule produced :
% [24]
% product(product(A,B),product(product(A,C),A)) <->
% product(A,product(B,product(C,A)))
% Current number of equations to process: 26
% Current number of ordered equations: 2
% Current number of rules: 24
% New rule produced :
% [25]
% product(product(product(A,B),A),product(A,B)) <->
% product(A,product(B,product(A,B)))
% Current number of equations to process: 26
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [26]
% product(product(product(A,B),A),product(A,C)) <->
% product(A,product(product(B,A),C))
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27]
% product(product(A,B),product(product(B,A),B)) <->
% product(product(product(A,B),B),product(A,B))
% Current number of equations to process: 25
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [28]
% product(product(product(A,B),B),product(A,B)) <->
% product(product(A,B),product(product(B,A),B))
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [29]
% product(product(A,B),product(product(C,A),product(C,B))) <->
% product(product(product(A,B),C),product(A,B))
% Current number of equations to process: 24
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [30]
% product(product(product(A,B),C),product(A,B)) <->
% product(product(A,B),product(product(C,A),product(C,B)))
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [31]
% product(product(A,B),product(A,product(C,B))) <->
% product(product(product(A,B),product(A,C)),product(A,B))
% Current number of equations to process: 23
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [32]
% product(product(product(A,B),product(A,C)),product(A,B)) <->
% product(product(A,B),product(A,product(C,B)))
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [33]
% product(A,product(B,product(C,B))) <->
% product(product(A,product(B,C)),product(A,B))
% Current number of equations to process: 33
% Current number of ordered equations: 3
% Current number of rules: 33
% New rule produced :
% [34]
% product(A,product(product(B,C),A)) <->
% product(product(product(A,B),product(A,C)),A)
% Current number of equations to process: 33
% Current number of ordered equations: 2
% Current number of rules: 34
% New rule produced :
% [35]
% product(product(product(A,B),product(A,C)),A) <->
% product(A,product(product(B,C),A))
% Current number of equations to process: 33
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [36]
% product(product(A,product(B,C)),product(A,B)) <->
% product(A,product(B,product(C,B)))
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [37]
% product(product(A,B),product(A,product(A,B))) <->
% product(product(A,product(B,A)),product(A,B))
% Current number of equations to process: 32
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [38]
% product(product(A,product(B,A)),product(A,B)) <->
% product(product(A,B),product(A,product(A,B)))
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [39]
% product(product(product(A,B),C),product(A,product(B,A))) ->
% product(product(A,B),product(C,A))
% Current number of equations to process: 30
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [40]
% product(product(A,product(B,A)),product(product(A,B),C)) ->
% product(product(A,B),product(A,C))
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [41]
% product(product(A,B),product(product(A,C),product(A,B))) <->
% product(product(A,product(B,C)),product(A,B))
% Current number of equations to process: 29
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [42]
% product(product(A,product(B,C)),product(A,B)) <->
% product(product(A,B),product(product(A,C),product(A,B)))
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [43]
% product(A,product(A,product(B,A))) <-> product(product(A,product(A,B)),A)
% Current number of equations to process: 33
% Current number of ordered equations: 3
% Current number of rules: 43
% New rule produced :
% [44]
% product(A,product(product(B,A),A)) <-> product(product(product(A,B),A),A)
% Current number of equations to process: 33
% Current number of ordered equations: 2
% Current number of rules: 44
% New rule produced :
% [45]
% product(product(product(A,B),A),A) <-> product(A,product(product(B,A),A))
% Current number of equations to process: 33
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [46]
% product(product(A,product(A,B)),A) <-> product(A,product(A,product(B,A)))
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [47]
% product(product(A,B),product(A,product(C,D))) <->
% product(product(A,product(B,C)),product(A,product(B,D)))
% Current number of equations to process: 42
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [48]
% product(product(A,product(B,C)),product(A,product(B,D))) <->
% product(product(A,B),product(A,product(C,D)))
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [49]
% product(A,product(product(B,C),product(B,product(D,V_4)))) <->
% product(product(A,B),product(A,product(product(C,D),product(C,V_4))))
% Current number of equations to process: 39
% Current number of ordered equations: 5
% Current number of rules: 49
% New rule produced :
% [50]
% product(A,product(product(product(B,C),product(B,D)),product(B,V_4))) <->
% product(product(A,B),product(A,product(product(C,D),V_4)))
% Current number of equations to process: 39
% Current number of ordered equations: 4
% Current number of rules: 50
% New rule produced :
% [51]
% product(A,product(product(B,C),product(product(B,D),product(B,V_4)))) <->
% product(product(A,B),product(A,product(C,product(D,V_4))))
% Current number of equations to process: 39
% Current number of ordered equations: 3
% Current number of rules: 51
% New rule produced :
% [52]
% product(product(A,B),product(A,product(product(C,D),product(C,V_4)))) <->
% product(A,product(product(B,C),product(B,product(D,V_4))))
% Current number of equations to process: 39
% Current number of ordered equations: 2
% Current number of rules: 52
% New rule produced :
% [53]
% product(product(A,B),product(A,product(C,product(D,V_4)))) <->
% product(A,product(product(B,C),product(product(B,D),product(B,V_4))))
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [54]
% product(product(A,B),product(A,product(product(C,D),V_4))) <->
% product(A,product(product(product(B,C),product(B,D)),product(B,V_4)))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [55]
% product(A,product(product(product(B,C),product(B,D)),V_4)) <->
% product(product(product(A,B),product(A,product(C,D))),product(A,V_4))
% Current number of equations to process: 37
% Current number of ordered equations: 3
% Current number of rules: 55
% New rule produced :
% [56]
% product(A,product(B,product(product(C,D),product(C,V_4)))) <->
% product(product(A,B),product(product(A,C),product(A,product(D,V_4))))
% Current number of equations to process: 37
% Current number of ordered equations: 2
% Current number of rules: 56
% New rule produced :
% [57]
% product(product(A,B),product(product(A,C),product(A,product(D,V_4)))) <->
% product(A,product(B,product(product(C,D),product(C,V_4))))
% Current number of equations to process: 37
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [58]
% product(product(product(A,B),product(A,product(C,D))),product(A,V_4)) <->
% product(A,product(product(product(B,C),product(B,D)),V_4))
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [59]
% product(A,product(product(product(B,C),D),product(B,product(C,V_4)))) <->
% product(product(A,product(B,C)),product(A,product(D,product(B,V_4))))
% Current number of equations to process: 35
% Current number of ordered equations: 3
% Current number of rules: 59
% New rule produced :
% [60]
% product(A,product(product(B,product(C,D)),product(product(B,C),V_4))) <->
% product(product(A,product(B,C)),product(A,product(product(B,D),V_4)))
% Current number of equations to process: 35
% Current number of ordered equations: 2
% Current number of rules: 60
% New rule produced :
% [61]
% product(product(A,product(B,C)),product(A,product(D,product(B,V_4)))) <->
% product(A,product(product(product(B,C),D),product(B,product(C,V_4))))
% Current number of equations to process: 35
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [62]
% product(product(A,product(B,C)),product(A,product(product(B,D),V_4))) <->
% product(A,product(product(B,product(C,D)),product(product(B,C),V_4)))
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [63]
% product(A,product(product(B,C),product(B,D))) <->
% product(product(A,B),product(product(A,C),product(A,D)))
% Current number of equations to process: 60
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [64]
% product(product(A,B),product(product(A,C),product(A,D))) <->
% product(A,product(product(B,C),product(B,D)))
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [65]
% product(A,product(product(B,C),product(product(B,D),B))) <->
% product(product(A,B),product(A,product(C,product(D,B))))
% Current number of equations to process: 57
% Current number of ordered equations: 5
% Current number of rules: 65
% New rule produced :
% [66]
% product(A,product(product(product(B,C),B),product(B,C))) <->
% product(product(A,B),product(A,product(C,product(B,C))))
% Current number of equations to process: 57
% Current number of ordered equations: 4
% Current number of rules: 66
% New rule produced :
% [67]
% product(A,product(product(product(B,C),B),product(B,D))) <->
% product(product(A,B),product(A,product(product(C,B),D)))
% Current number of equations to process: 57
% Current number of ordered equations: 3
% Current number of rules: 67
% New rule produced :
% [68]
% product(product(A,B),product(A,product(product(C,B),D))) <->
% product(A,product(product(product(B,C),B),product(B,D)))
% Current number of equations to process: 57
% Current number of ordered equations: 2
% Current number of rules: 68
% New rule produced :
% [69]
% product(product(A,B),product(A,product(C,product(D,B)))) <->
% product(A,product(product(B,C),product(product(B,D),B)))
% Current number of equations to process: 57
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [70]
% product(product(A,B),product(A,product(C,product(B,C)))) <->
% product(A,product(product(product(B,C),B),product(B,C)))
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [71]
% product(A,product(product(product(B,C),product(B,D)),A)) <->
% product(product(product(A,B),product(A,product(C,D))),A)
% Current number of equations to process: 56
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [72]
% product(product(product(A,B),product(A,product(C,D))),A) <->
% product(A,product(product(product(B,C),product(B,D)),A))
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [73]
% product(product(A,B),product(product(C,A),product(C,D))) <->
% product(product(product(A,B),C),product(A,product(B,D)))
% Current number of equations to process: 55
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [74]
% product(product(product(A,B),C),product(A,product(B,D))) <->
% product(product(A,B),product(product(C,A),product(C,D)))
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [75]
% product(A,product(B,product(product(C,D),product(C,V_4)))) <->
% product(product(A,product(B,C)),product(A,product(B,product(D,V_4))))
% Current number of equations to process: 54
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [76]
% product(product(A,product(B,C)),product(A,product(B,product(D,V_4)))) <->
% product(A,product(B,product(product(C,D),product(C,V_4))))
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [77]
% product(A,product(product(B,product(C,D)),product(B,product(C,V_4)))) <->
% product(product(A,B),product(A,product(C,product(D,V_4))))
% Current number of equations to process: 53
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [78]
% product(product(A,B),product(A,product(C,product(D,V_4)))) <->
% product(A,product(product(B,product(C,D)),product(B,product(C,V_4))))
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [79]
% product(A,product(product(product(B,C),D),product(product(B,C),V_4))) <->
% product(product(product(A,B),product(A,C)),product(A,product(D,V_4)))
% Current number of equations to process: 52
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [80]
% product(product(product(A,B),product(A,C)),product(A,product(D,V_4))) <->
% product(A,product(product(product(B,C),D),product(product(B,C),V_4)))
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [81]
% product(product(A,B),product(product(A,product(C,D)),V_4)) <->
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),V_4))
% Current number of equations to process: 50
% Current number of ordered equations: 3
% Current number of rules: 81
% New rule produced :
% [82]
% product(product(A,B),product(C,product(A,product(D,V_4)))) <->
% product(product(product(A,B),C),product(A,product(product(B,D),product(B,V_4))))
% Current number of equations to process: 50
% Current number of ordered equations: 2
% Current number of rules: 82
% New rule produced :
% [83]
% product(product(product(A,B),C),product(A,product(product(B,D),product(B,V_4))))
% <-> product(product(A,B),product(C,product(A,product(D,V_4))))
% Current number of equations to process: 50
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [84]
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),V_4))
% <-> product(product(A,B),product(product(A,product(C,D)),V_4))
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [85]
% product(product(A,B),product(product(C,A),product(C,product(D,V_4)))) <->
% product(product(product(A,B),C),product(A,product(product(B,D),product(B,V_4))))
% Current number of equations to process: 49
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [86]
% product(product(product(A,B),C),product(A,product(product(B,D),product(B,V_4))))
% <-> product(product(A,B),product(product(C,A),product(C,product(D,V_4))))
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [87]
% product(product(A,B),product(product(product(A,C),D),product(product(A,C),V_4)))
% <-> product(product(A,product(B,C)),product(product(A,B),product(D,V_4)))
% Current number of equations to process: 48
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [88]
% product(product(A,product(B,C)),product(product(A,B),product(D,V_4))) <->
% product(product(A,B),product(product(product(A,C),D),product(product(A,C),V_4)))
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [89]
% product(A,product(product(B,C),product(B,A))) <->
% product(product(A,B),product(product(A,C),A))
% Current number of equations to process: 69
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [90]
% product(product(A,B),product(product(A,C),A)) <->
% product(A,product(product(B,C),product(B,A)))
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [91]
% product(product(product(A,B),product(A,C)),product(A,product(B,C))) ->
% product(A,product(B,C))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [92]
% product(A,product(product(B,C),product(B,product(D,C)))) <->
% product(product(A,B),product(A,product(product(C,D),C)))
% Current number of equations to process: 74
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [93]
% product(product(A,B),product(A,product(product(C,D),C))) <->
% product(A,product(product(B,C),product(B,product(D,C))))
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [94]
% product(A,product(product(B,product(C,D)),product(B,C))) <->
% product(product(A,B),product(A,product(C,product(D,C))))
% Current number of equations to process: 73
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [95]
% product(product(A,B),product(A,product(C,product(D,C)))) <->
% product(A,product(product(B,product(C,D)),product(B,C)))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [96]
% product(A,product(B,product(product(C,D),product(C,V_4)))) <->
% product(product(A,B),product(A,product(C,product(D,V_4))))
% Current number of equations to process: 72
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [97]
% product(product(A,B),product(A,product(C,product(D,V_4)))) <->
% product(A,product(B,product(product(C,D),product(C,V_4))))
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [98]
% product(A,product(B,product(C,D))) <->
% product(product(product(A,B),product(A,C)),product(A,product(B,D)))
% Current number of equations to process: 71
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [99]
% product(product(product(A,B),product(A,C)),product(A,product(B,D))) <->
% product(A,product(B,product(C,D)))
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [100]
% product(product(A,B),product(product(A,product(C,D)),product(A,B))) <->
% product(product(A,product(product(B,C),product(B,D))),product(A,B))
% Current number of equations to process: 70
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [101]
% product(product(A,product(product(B,C),product(B,D))),product(A,B)) <->
% product(product(A,B),product(product(A,product(C,D)),product(A,B)))
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [102]
% product(A,product(product(B,product(C,D)),product(B,product(C,V_4)))) <->
% product(product(A,B),product(product(A,C),product(A,product(D,V_4))))
% Current number of equations to process: 69
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [103]
% product(product(A,B),product(product(A,C),product(A,product(D,V_4)))) <->
% product(A,product(product(B,product(C,D)),product(B,product(C,V_4))))
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [104]
% product(A,product(product(product(B,C),D),V_4)) <->
% product(product(product(product(A,B),product(A,C)),product(A,D)),product(A,V_4))
% Current number of equations to process: 66
% Current number of ordered equations: 5
% Current number of rules: 104
% New rule produced :
% [105]
% product(A,product(B,product(product(C,D),V_4))) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,V_4)))
% Current number of equations to process: 66
% Current number of ordered equations: 4
% Current number of rules: 105
% New rule produced :
% [106]
% product(A,product(product(B,product(C,D)),V_4)) <->
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(A,V_4))
% Current number of equations to process: 66
% Current number of ordered equations: 3
% Current number of rules: 106
% New rule produced :
% [107]
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,V_4)))
% <-> product(A,product(B,product(product(C,D),V_4)))
% Current number of equations to process: 66
% Current number of ordered equations: 2
% Current number of rules: 107
% New rule produced :
% [108]
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(A,V_4))
% <-> product(A,product(product(B,product(C,D)),V_4))
% Current number of equations to process: 66
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [109]
% product(product(product(product(A,B),product(A,C)),product(A,D)),product(A,V_4))
% <-> product(A,product(product(product(B,C),D),V_4))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [110]
% product(product(product(A,B),A),product(A,product(C,D))) <->
% product(product(A,product(product(B,A),C)),product(A,product(product(B,A),D)))
% Current number of equations to process: 65
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [111]
% product(product(A,product(product(B,A),C)),product(A,product(product(B,A),D)))
% <-> product(product(product(A,B),A),product(A,product(C,D)))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [112]
% product(A,product(product(product(B,C),product(B,product(D,V_4))),product(B,V_5)))
% <->
% product(product(A,B),product(A,product(product(product(C,D),product(C,V_4)),V_5)))
% Current number of equations to process: 63
% Current number of ordered equations: 3
% Current number of rules: 112
% New rule produced :
% [113]
% product(A,product(product(B,C),product(product(B,D),product(B,product(V_4,V_5)))))
% <->
% product(product(A,B),product(A,product(C,product(product(D,V_4),product(D,V_5)))))
% Current number of equations to process: 63
% Current number of ordered equations: 2
% Current number of rules: 113
% New rule produced :
% [114]
% product(product(A,B),product(A,product(product(product(C,D),product(C,V_4)),V_5)))
% <->
% product(A,product(product(product(B,C),product(B,product(D,V_4))),product(B,V_5)))
% Current number of equations to process: 63
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [115]
% product(product(A,B),product(A,product(C,product(product(D,V_4),product(D,V_5)))))
% <->
% product(A,product(product(B,C),product(product(B,D),product(B,product(V_4,V_5)))))
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [116]
% product(A,product(product(B,product(C,D)),product(B,product(C,product(V_4,V_5)))))
% <->
% product(product(A,B),product(A,product(C,product(product(D,V_4),product(D,V_5)))))
% Current number of equations to process: 62
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [117]
% product(product(A,B),product(A,product(C,product(product(D,V_4),product(D,V_5)))))
% <->
% product(A,product(product(B,product(C,D)),product(B,product(C,product(V_4,V_5)))))
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [118]
% product(product(A,product(B,C)),product(A,product(product(D,B),product(D,C))))
% <->
% product(product(product(A,product(B,C)),product(A,D)),product(A,product(B,C)))
% Current number of equations to process: 61
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [119]
% product(product(product(A,product(B,C)),product(A,D)),product(A,product(B,C)))
% <->
% product(product(A,product(B,C)),product(A,product(product(D,B),product(D,C))))
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [120]
% product(A,product(product(B,C),product(B,product(product(D,V_4),product(D,V_5)))))
% <->
% product(product(A,B),product(A,product(product(C,D),product(C,product(V_4,V_5)))))
% Current number of equations to process: 60
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [121]
% product(product(A,B),product(A,product(product(C,D),product(C,product(V_4,V_5)))))
% <->
% product(A,product(product(B,C),product(B,product(product(D,V_4),product(D,V_5)))))
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [122]
% product(A,product(product(product(product(B,C),product(B,D)),product(B,V_4)),V_5))
% <->
% product(product(product(A,B),product(A,product(product(C,D),V_4))),product(A,V_5))
% Current number of equations to process: 59
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [123]
% product(product(product(A,B),product(A,product(product(C,D),V_4))),product(A,V_5))
% <->
% product(A,product(product(product(product(B,C),product(B,D)),product(B,V_4)),V_5))
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [124]
% product(A,product(B,product(C,B))) <->
% product(product(product(A,B),product(A,C)),product(A,B))
% Current number of equations to process: 90
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [125]
% product(product(product(A,B),product(A,C)),product(A,B)) <->
% product(A,product(B,product(C,B)))
% Current number of equations to process: 90
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [126]
% product(product(A,product(B,C)),product(product(A,B),product(A,C))) ->
% product(A,product(B,C))
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [127]
% product(A,product(B,product(C,D))) <->
% product(product(A,product(B,C)),product(product(A,B),product(A,D)))
% Current number of equations to process: 88
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [128]
% product(product(A,product(B,C)),product(product(A,B),product(A,D))) <->
% product(A,product(B,product(C,D)))
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [129]
% product(A,product(product(product(B,C),B),D)) <->
% product(product(product(A,B),product(A,product(C,B))),product(A,D))
% Current number of equations to process: 87
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [130]
% product(product(product(A,B),product(A,product(C,B))),product(A,D)) <->
% product(A,product(product(product(B,C),B),D))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [131]
% product(A,product(product(B,product(C,B)),D)) <->
% product(product(product(A,product(B,C)),product(A,B)),product(A,D))
% Current number of equations to process: 85
% Current number of ordered equations: 3
% Current number of rules: 131
% New rule produced :
% [132]
% product(A,product(product(product(B,C),D),A)) <->
% product(product(product(product(A,B),product(A,C)),product(A,D)),A)
% Current number of equations to process: 85
% Current number of ordered equations: 2
% Current number of rules: 132
% New rule produced :
% [133]
% product(product(product(A,product(B,C)),product(A,B)),product(A,D)) <->
% product(A,product(product(B,product(C,B)),D))
% Current number of equations to process: 85
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [134]
% product(product(product(product(A,B),product(A,C)),product(A,D)),A) <->
% product(A,product(product(product(B,C),D),A))
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [135]
% product(product(A,B),product(A,product(C,D))) <->
% product(product(product(A,B),product(A,C)),product(A,product(B,D)))
% Current number of equations to process: 84
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [136]
% product(product(product(A,B),product(A,C)),product(A,product(B,D))) <->
% product(product(A,B),product(A,product(C,D)))
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [137]
% product(A,product(product(B,C),product(product(B,D),product(B,V_4)))) <->
% product(product(A,B),product(product(A,C),product(A,product(D,V_4))))
% Current number of equations to process: 83
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [138]
% product(product(A,B),product(product(A,C),product(A,product(D,V_4)))) <->
% product(A,product(product(B,C),product(product(B,D),product(B,V_4))))
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [139]
% product(A,product(B,product(C,product(D,V_4)))) <->
% product(product(A,B),product(product(A,product(C,D)),product(A,product(C,V_4))))
% Current number of equations to process: 80
% Current number of ordered equations: 5
% Current number of rules: 139
% New rule produced :
% [140]
% product(A,product(B,product(C,product(D,V_4)))) <->
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,V_4))))
% Current number of equations to process: 80
% Current number of ordered equations: 4
% Current number of rules: 140
% New rule produced :
% [141]
% product(A,product(product(B,product(C,D)),V_4)) <->
% product(product(product(A,B),product(product(A,C),product(A,D))),product(A,V_4))
% Current number of equations to process: 80
% Current number of ordered equations: 3
% Current number of rules: 141
% New rule produced :
% [142]
% product(product(A,B),product(product(A,product(C,D)),product(A,product(C,V_4))))
% <-> product(A,product(B,product(C,product(D,V_4))))
% Current number of equations to process: 80
% Current number of ordered equations: 2
% Current number of rules: 142
% New rule produced :
% [143]
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,V_4))))
% <-> product(A,product(B,product(C,product(D,V_4))))
% Current number of equations to process: 80
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [144]
% product(product(product(A,B),product(product(A,C),product(A,D))),product(A,V_4))
% <-> product(A,product(product(B,product(C,D)),V_4))
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [145]
% product(A,product(product(product(B,C),D),product(B,C))) <->
% product(product(product(A,B),product(A,C)),product(A,product(D,product(B,C))))
% Current number of equations to process: 79
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [146]
% product(product(product(A,B),product(A,C)),product(A,product(D,product(B,C))))
% <-> product(A,product(product(product(B,C),D),product(B,C)))
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [147]
% product(A,product(B,product(product(C,D),product(C,V_4)))) <->
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,V_4))))
% Current number of equations to process: 77
% Current number of ordered equations: 3
% Current number of rules: 147
% New rule produced :
% [148]
% product(A,product(product(B,product(C,D)),product(B,V_4))) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,V_4)))
% Current number of equations to process: 77
% Current number of ordered equations: 2
% Current number of rules: 148
% New rule produced :
% [149]
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,V_4)))
% <-> product(A,product(product(B,product(C,D)),product(B,V_4)))
% Current number of equations to process: 77
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [150]
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,V_4))))
% <-> product(A,product(B,product(product(C,D),product(C,V_4))))
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [151]
% product(A,product(B,product(product(C,D),product(product(C,V_4),product(C,V_5)))))
% <->
% product(product(A,B),product(product(A,C),product(A,product(D,product(V_4,V_5)))))
% Current number of equations to process: 76
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [152]
% product(product(A,B),product(product(A,C),product(A,product(D,product(V_4,V_5)))))
% <->
% product(A,product(B,product(product(C,D),product(product(C,V_4),product(C,V_5)))))
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [153]
% product(A,product(product(B,C),B)) <->
% product(product(A,B),product(product(A,C),product(A,B)))
% Current number of equations to process: 110
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [154]
% product(product(A,B),product(product(A,C),product(A,B))) <->
% product(A,product(product(B,C),B))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [155]
% product(A,product(B,product(product(C,D),C))) <->
% product(product(A,B),product(product(A,C),product(A,product(D,C))))
% Current number of equations to process: 109
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [156]
% product(product(A,B),product(product(A,C),product(A,product(D,C)))) <->
% product(A,product(B,product(product(C,D),C)))
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [157]
% product(A,product(product(B,product(C,D)),A)) <->
% product(product(product(A,B),product(product(A,C),product(A,D))),A)
% Current number of equations to process: 107
% Current number of ordered equations: 3
% Current number of rules: 157
% New rule produced :
% [158]
% product(A,product(B,product(C,product(D,C)))) <->
% product(product(A,B),product(product(A,product(C,D)),product(A,C)))
% Current number of equations to process: 107
% Current number of ordered equations: 2
% Current number of rules: 158
% New rule produced :
% [159]
% product(product(A,B),product(product(A,product(C,D)),product(A,C))) <->
% product(A,product(B,product(C,product(D,C))))
% Current number of equations to process: 107
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [160]
% product(product(product(A,B),product(product(A,C),product(A,D))),A) <->
% product(A,product(product(B,product(C,D)),A))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [161]
% product(product(A,B),product(A,product(C,D))) <->
% product(product(A,product(B,C)),product(product(A,B),product(A,D)))
% Current number of equations to process: 106
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [162]
% product(product(A,product(B,C)),product(product(A,B),product(A,D))) <->
% product(product(A,B),product(A,product(C,D)))
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [163]
% product(A,product(B,product(C,D))) <->
% product(product(product(A,B),product(A,C)),product(product(A,B),product(A,D)))
% Current number of equations to process: 105
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [164]
% product(product(product(A,B),product(A,C)),product(product(A,B),product(A,D)))
% <-> product(A,product(B,product(C,D)))
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [165]
% product(A,product(product(product(B,C),product(B,D)),product(B,V_4))) <->
% product(product(A,B),product(product(A,product(C,D)),product(A,V_4)))
% Current number of equations to process: 104
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [166]
% product(product(A,B),product(product(A,product(C,D)),product(A,V_4))) <->
% product(A,product(product(product(B,C),product(B,D)),product(B,V_4)))
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [167]
% product(A,product(product(B,product(C,D)),product(B,product(C,V_4)))) <->
% product(product(A,product(B,C)),product(A,product(B,product(D,V_4))))
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [168]
% product(product(A,product(B,C)),product(A,product(B,product(D,V_4)))) <->
% product(A,product(product(B,product(C,D)),product(B,product(C,V_4))))
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [169]
% product(A,product(B,product(C,product(D,V_4)))) <->
% product(product(A,product(B,product(C,D))),product(A,product(B,product(C,V_4))))
% Current number of equations to process: 102
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [170]
% product(product(A,product(B,product(C,D))),product(A,product(B,product(C,V_4))))
% <-> product(A,product(B,product(C,product(D,V_4))))
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [171]
% product(A,product(product(B,C),product(D,product(B,C)))) <->
% product(product(A,product(product(B,C),D)),product(product(A,B),product(A,C)))
% Current number of equations to process: 101
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [172]
% product(product(A,product(product(B,C),D)),product(product(A,B),product(A,C)))
% <-> product(A,product(product(B,C),product(D,product(B,C))))
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [173]
% product(A,product(product(B,C),product(B,product(D,V_4)))) <->
% product(product(A,B),product(product(A,product(C,D)),product(A,product(C,V_4))))
% Current number of equations to process: 100
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [174]
% product(product(A,B),product(product(A,product(C,D)),product(A,product(C,V_4))))
% <-> product(A,product(product(B,C),product(B,product(D,V_4))))
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [175]
% product(A,product(product(B,C),product(B,product(D,V_4)))) <->
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,V_4))))
% Current number of equations to process: 98
% Current number of ordered equations: 3
% Current number of rules: 175
% New rule produced :
% [176]
% product(A,product(B,product(product(C,D),product(C,V_4)))) <->
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,V_4))))
% Current number of equations to process: 98
% Current number of ordered equations: 2
% Current number of rules: 176
% New rule produced :
% [177]
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,V_4))))
% <-> product(A,product(product(B,C),product(B,product(D,V_4))))
% Current number of equations to process: 98
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [178]
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,V_4))))
% <-> product(A,product(B,product(product(C,D),product(C,V_4))))
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [179]
% product(product(A,product(B,C)),product(D,product(A,product(B,C)))) <->
% product(product(product(A,product(B,C)),D),product(product(A,B),product(A,C)))
% Current number of equations to process: 97
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [180]
% product(product(product(A,product(B,C)),D),product(product(A,B),product(A,C)))
% <-> product(product(A,product(B,C)),product(D,product(A,product(B,C))))
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [181]
% product(A,product(B,product(product(product(C,D),product(C,V_4)),product(C,V_5))))
% <->
% product(product(A,B),product(product(A,C),product(A,product(product(D,V_4),V_5))))
% Current number of equations to process: 95
% Current number of ordered equations: 3
% Current number of rules: 181
% New rule produced :
% [182]
% product(A,product(product(product(B,C),product(product(B,D),product(B,V_4))),V_5))
% <->
% product(product(product(A,B),product(A,product(C,product(D,V_4)))),product(A,V_5))
% Current number of equations to process: 95
% Current number of ordered equations: 2
% Current number of rules: 182
% New rule produced :
% [183]
% product(product(A,B),product(product(A,C),product(A,product(product(D,V_4),V_5))))
% <->
% product(A,product(B,product(product(product(C,D),product(C,V_4)),product(C,V_5))))
% Current number of equations to process: 95
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [184]
% product(product(product(A,B),product(A,product(C,product(D,V_4)))),product(A,V_5))
% <->
% product(A,product(product(product(B,C),product(product(B,D),product(B,V_4))),V_5))
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [185]
% product(A,product(B,product(product(C,product(D,V_4)),product(C,product(D,V_5)))))
% <->
% product(product(A,product(B,C)),product(A,product(B,product(D,product(V_4,V_5)))))
% Current number of equations to process: 94
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [186]
% product(product(A,product(B,C)),product(A,product(B,product(D,product(V_4,V_5)))))
% <->
% product(A,product(B,product(product(C,product(D,V_4)),product(C,product(D,V_5)))))
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [187]
% product(product(A,B),product(product(A,C),product(A,D))) <->
% product(product(A,product(B,C)),product(A,product(B,D)))
% Current number of equations to process: 132
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [188]
% product(product(A,product(B,C)),product(A,product(B,D))) <->
% product(product(A,B),product(product(A,C),product(A,D)))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [189]
% product(A,product(B,product(product(C,D),C))) <->
% product(product(A,product(B,C)),product(A,product(B,product(D,C))))
% Current number of equations to process: 131
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [190]
% product(product(A,product(B,C)),product(A,product(B,product(D,C)))) <->
% product(A,product(B,product(product(C,D),C)))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [191]
% product(A,product(product(B,product(C,D)),A)) <->
% product(product(product(A,product(B,C)),product(A,product(B,D))),A)
% Current number of equations to process: 129
% Current number of ordered equations: 3
% Current number of rules: 191
% New rule produced :
% [192]
% product(A,product(B,product(C,product(D,C)))) <->
% product(product(A,product(B,product(C,D))),product(A,product(B,C)))
% Current number of equations to process: 129
% Current number of ordered equations: 2
% Current number of rules: 192
% New rule produced :
% [193]
% product(product(product(A,product(B,C)),product(A,product(B,D))),A) <->
% product(A,product(product(B,product(C,D)),A))
% Current number of equations to process: 129
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [194]
% product(product(A,product(B,product(C,D))),product(A,product(B,C))) <->
% product(A,product(B,product(C,product(D,C))))
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [195]
% product(A,product(product(B,C),product(B,D))) <->
% product(product(product(A,B),product(A,C)),product(product(A,B),product(A,D)))
% Current number of equations to process: 128
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [196]
% product(product(product(A,B),product(A,C)),product(product(A,B),product(A,D)))
% <-> product(A,product(product(B,C),product(B,D)))
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [197]
% product(A,product(product(product(B,C),product(B,D)),product(B,V_4))) <->
% product(product(A,product(B,product(C,D))),product(A,product(B,V_4)))
% Current number of equations to process: 127
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [198]
% product(product(A,product(B,product(C,D))),product(A,product(B,V_4))) <->
% product(A,product(product(product(B,C),product(B,D)),product(B,V_4)))
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [199]
% product(A,product(product(B,C),product(D,V_4))) <->
% product(product(product(A,B),product(A,C)),product(product(A,D),product(A,V_4)))
% Rule
% [195]
% product(A,product(product(B,C),product(B,D))) <->
% product(product(product(A,B),product(A,C)),product(product(A,B),product(A,D)))
% collapsed.
% Current number of equations to process: 125
% Current number of ordered equations: 3
% Current number of rules: 198
% New rule produced :
% [200]
% product(A,product(B,product(C,product(D,V_4)))) <->
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,V_4))))
% Current number of equations to process: 125
% Current number of ordered equations: 2
% Current number of rules: 199
% New rule produced :
% [201]
% product(product(product(A,B),product(A,C)),product(product(A,D),product(A,V_4)))
% <-> product(A,product(product(B,C),product(D,V_4)))
% Rule
% [196]
% product(product(product(A,B),product(A,C)),product(product(A,B),product(A,D)))
% <-> product(A,product(product(B,C),product(B,D))) collapsed.
% Current number of equations to process: 125
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [202]
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,V_4))))
% <-> product(A,product(B,product(C,product(D,V_4))))
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [203]
% product(product(A,B),product(C,product(product(A,D),product(A,V_4)))) <->
% product(product(product(A,B),C),product(A,product(B,product(D,V_4))))
% Current number of equations to process: 123
% Current number of ordered equations: 3
% Current number of rules: 201
% New rule produced :
% [204]
% product(product(A,B),product(product(product(A,C),product(A,D)),V_4)) <->
% product(product(A,product(B,product(C,D))),product(product(A,B),V_4))
% Current number of equations to process: 123
% Current number of ordered equations: 2
% Current number of rules: 202
% New rule produced :
% [205]
% product(product(product(A,B),C),product(A,product(B,product(D,V_4)))) <->
% product(product(A,B),product(C,product(product(A,D),product(A,V_4))))
% Current number of equations to process: 123
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [206]
% product(product(A,product(B,product(C,D))),product(product(A,B),V_4)) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),V_4))
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [207]
% product(A,product(product(B,C),product(B,product(D,V_4)))) <->
% product(product(A,product(B,product(C,D))),product(A,product(B,product(C,V_4))))
% Current number of equations to process: 122
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [208]
% product(product(A,product(B,product(C,D))),product(A,product(B,product(C,V_4))))
% <-> product(A,product(product(B,C),product(B,product(D,V_4))))
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [209]
% product(product(product(A,B),product(A,C)),product(A,product(D,V_4))) <->
% product(product(A,product(product(B,C),D)),product(A,product(product(B,C),V_4)))
% Current number of equations to process: 121
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [210]
% product(product(A,product(product(B,C),D)),product(A,product(product(B,C),V_4)))
% <-> product(product(product(A,B),product(A,C)),product(A,product(D,V_4)))
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [211]
% product(A,product(product(product(B,C),product(B,D)),product(product(B,C),
% product(B,V_4)))) <->
% product(product(A,B),product(A,product(C,product(D,V_4))))
% Current number of equations to process: 120
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [212]
% product(product(A,B),product(A,product(C,product(D,V_4)))) <->
% product(A,product(product(product(B,C),product(B,D)),product(product(B,C),
% product(B,V_4))))
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [213]
% product(A,product(product(product(B,product(C,D)),product(B,product(C,V_4))),V_5))
% <->
% product(product(product(A,B),product(A,product(C,product(D,V_4)))),product(A,V_5))
% Current number of equations to process: 118
% Current number of ordered equations: 3
% Current number of rules: 211
% New rule produced :
% [214]
% product(A,product(B,product(product(product(C,D),product(C,V_4)),product(C,V_5))))
% <->
% product(product(A,product(B,C)),product(A,product(B,product(product(D,V_4),V_5))))
% Current number of equations to process: 118
% Current number of ordered equations: 2
% Current number of rules: 212
% New rule produced :
% [215]
% product(product(A,product(B,C)),product(A,product(B,product(product(D,V_4),V_5))))
% <->
% product(A,product(B,product(product(product(C,D),product(C,V_4)),product(C,V_5))))
% Current number of equations to process: 118
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [216]
% product(product(product(A,B),product(A,product(C,product(D,V_4)))),product(A,V_5))
% <->
% product(A,product(product(product(B,product(C,D)),product(B,product(C,V_4))),V_5))
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [217]
% product(A,product(B,product(product(C,product(D,V_4)),product(C,product(D,V_5)))))
% <->
% product(product(A,B),product(product(A,C),product(A,product(D,product(V_4,V_5)))))
% Current number of equations to process: 116
% Current number of ordered equations: 3
% Current number of rules: 215
% New rule produced :
% [218]
% product(A,product(B,product(product(C,D),product(product(C,V_4),product(C,V_5)))))
% <->
% product(product(A,product(B,C)),product(A,product(B,product(D,product(V_4,V_5)))))
% Current number of equations to process: 116
% Current number of ordered equations: 2
% Current number of rules: 216
% New rule produced :
% [219]
% product(product(A,B),product(product(A,C),product(A,product(D,product(V_4,V_5)))))
% <->
% product(A,product(B,product(product(C,product(D,V_4)),product(C,product(D,V_5)))))
% Current number of equations to process: 116
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [220]
% product(product(A,product(B,C)),product(A,product(B,product(D,product(V_4,V_5)))))
% <->
% product(A,product(B,product(product(C,D),product(product(C,V_4),product(C,V_5)))))
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [221]
% product(product(A,B),product(product(A,C),product(D,V_4))) <->
% product(product(A,product(B,C)),product(product(product(A,B),D),product(
% product(A,B),V_4)))
% Current number of equations to process: 113
% Current number of ordered equations: 5
% Current number of rules: 219
% New rule produced :
% [222]
% product(product(A,B),product(C,product(product(A,D),V_4))) <->
% product(product(product(A,B),C),product(product(A,product(B,D)),product(
% product(A,B),V_4)))
% Current number of equations to process: 113
% Current number of ordered equations: 4
% Current number of rules: 220
% New rule produced :
% [223]
% product(product(A,B),product(C,product(D,product(A,V_4)))) <->
% product(product(product(A,B),C),product(product(product(A,B),D),product(A,
% product(B,V_4))))
% Current number of equations to process: 113
% Current number of ordered equations: 3
% Current number of rules: 221
% New rule produced :
% [224]
% product(product(A,product(B,C)),product(product(product(A,B),D),product(
% product(A,B),V_4)))
% <-> product(product(A,B),product(product(A,C),product(D,V_4)))
% Current number of equations to process: 113
% Current number of ordered equations: 2
% Current number of rules: 222
% New rule produced :
% [225]
% product(product(product(A,B),C),product(product(product(A,B),D),product(A,
% product(B,V_4))))
% <-> product(product(A,B),product(C,product(D,product(A,V_4))))
% Current number of equations to process: 113
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [226]
% product(product(product(A,B),C),product(product(A,product(B,D)),product(
% product(A,B),V_4)))
% <-> product(product(A,B),product(C,product(product(A,D),V_4)))
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [227]
% product(A,product(product(B,A),product(C,D))) <->
% product(product(product(A,B),A),product(product(A,C),product(A,D)))
% Current number of equations to process: 162
% Current number of ordered equations: 7
% Current number of rules: 225
% New rule produced :
% [228]
% product(A,product(B,product(product(C,A),D))) <->
% product(product(A,B),product(product(product(A,C),A),product(A,D)))
% Current number of equations to process: 162
% Current number of ordered equations: 6
% Current number of rules: 226
% New rule produced :
% [229]
% product(A,product(B,product(C,product(D,A)))) <->
% product(product(A,B),product(product(A,C),product(product(A,D),A)))
% Current number of equations to process: 162
% Current number of ordered equations: 5
% Current number of rules: 227
% New rule produced :
% [230]
% product(A,product(B,product(C,product(A,C)))) <->
% product(product(A,B),product(product(product(A,C),A),product(A,C)))
% Current number of equations to process: 162
% Current number of ordered equations: 4
% Current number of rules: 228
% New rule produced :
% [231]
% product(product(A,B),product(product(A,C),product(product(A,D),A))) <->
% product(A,product(B,product(C,product(D,A))))
% Current number of equations to process: 162
% Current number of ordered equations: 3
% Current number of rules: 229
% New rule produced :
% [232]
% product(product(A,B),product(product(product(A,C),A),product(A,C))) <->
% product(A,product(B,product(C,product(A,C))))
% Current number of equations to process: 162
% Current number of ordered equations: 2
% Current number of rules: 230
% New rule produced :
% [233]
% product(product(A,B),product(product(product(A,C),A),product(A,D))) <->
% product(A,product(B,product(product(C,A),D)))
% Current number of equations to process: 162
% Current number of ordered equations: 1
% Current number of rules: 231
% New rule produced :
% [234]
% product(product(product(A,B),A),product(product(A,C),product(A,D))) <->
% product(A,product(product(B,A),product(C,D)))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [235]
% product(A,product(B,product(C,product(D,V_4)))) <->
% product(product(A,B),product(A,product(product(C,D),product(C,V_4))))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [236]
% product(product(A,B),product(A,product(product(C,D),product(C,V_4)))) <->
% product(A,product(B,product(C,product(D,V_4))))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [237]
% product(A,product(B,product(product(C,D),V_4))) <->
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,V_4)))
% Current number of equations to process: 160
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [238]
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,V_4)))
% <-> product(A,product(B,product(product(C,D),V_4)))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [239]
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,B)))
% <-> product(product(A,product(B,product(C,D))),product(A,B))
% Current number of equations to process: 159
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [240]
% product(product(A,product(B,product(C,D))),product(A,B)) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,B)))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [241]
% product(product(A,B),product(A,product(C,D))) <->
% product(product(A,product(B,A)),product(product(product(A,B),C),product(
% product(A,B),D)))
% Current number of equations to process: 158
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [242]
% product(product(A,product(B,A)),product(product(product(A,B),C),product(
% product(A,B),D)))
% <-> product(product(A,B),product(A,product(C,D)))
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [243]
% product(product(A,B),product(product(C,product(A,D)),product(C,product(A,V_4))))
% <-> product(product(product(A,B),C),product(A,product(B,product(D,V_4))))
% Current number of equations to process: 157
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [244]
% product(product(product(A,B),C),product(A,product(B,product(D,V_4)))) <->
% product(product(A,B),product(product(C,product(A,D)),product(C,product(A,V_4))))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [245]
% product(A,product(B,product(C,product(D,V_4)))) <->
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),
% product(B,V_4))))
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [246]
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),
% product(B,V_4)))) <->
% product(A,product(B,product(C,product(D,V_4))))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [247]
% product(A,product(B,product(C,product(D,V_4)))) <->
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,
% product(B,V_4))))
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [248]
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,
% product(B,V_4))))
% <-> product(A,product(B,product(C,product(D,V_4))))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [249]
% product(product(A,B),product(product(product(A,C),D),V_4)) <->
% product(product(product(A,product(B,C)),product(product(A,B),D)),product(
% product(A,B),V_4))
% Current number of equations to process: 152
% Current number of ordered equations: 5
% Current number of rules: 247
% New rule produced :
% [250]
% product(product(A,B),product(product(C,product(A,D)),V_4)) <->
% product(product(product(product(A,B),C),product(A,product(B,D))),product(
% product(A,B),V_4))
% Current number of equations to process: 152
% Current number of ordered equations: 4
% Current number of rules: 248
% New rule produced :
% [251]
% product(product(A,B),product(product(C,D),product(A,V_4))) <->
% product(product(product(product(A,B),C),product(product(A,B),D)),product(A,
% product(B,V_4)))
% Current number of equations to process: 152
% Current number of ordered equations: 3
% Current number of rules: 249
% New rule produced :
% [252]
% product(product(product(A,product(B,C)),product(product(A,B),D)),product(
% product(A,B),V_4))
% <-> product(product(A,B),product(product(product(A,C),D),V_4))
% Current number of equations to process: 152
% Current number of ordered equations: 2
% Current number of rules: 250
% New rule produced :
% [253]
% product(product(product(product(A,B),C),product(A,product(B,D))),product(
% product(A,B),V_4))
% <-> product(product(A,B),product(product(C,product(A,D)),V_4))
% Current number of equations to process: 152
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [254]
% product(product(product(product(A,B),C),product(product(A,B),D)),product(A,
% product(B,V_4)))
% <-> product(product(A,B),product(product(C,D),product(A,V_4)))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [255]
% product(A,product(product(product(B,A),C),D)) <->
% product(product(product(product(A,B),A),product(A,C)),product(A,D))
% Current number of equations to process: 206
% Current number of ordered equations: 7
% Current number of rules: 253
% New rule produced :
% [256]
% product(A,product(product(B,product(C,A)),D)) <->
% product(product(product(A,B),product(product(A,C),A)),product(A,D))
% Current number of equations to process: 206
% Current number of ordered equations: 6
% Current number of rules: 254
% New rule produced :
% [257]
% product(A,product(product(B,product(A,B)),C)) <->
% product(product(product(product(A,B),A),product(A,B)),product(A,C))
% Current number of equations to process: 206
% Current number of ordered equations: 5
% Current number of rules: 255
% New rule produced :
% [258]
% product(A,product(product(B,C),product(D,A))) <->
% product(product(product(A,B),product(A,C)),product(product(A,D),A))
% Current number of equations to process: 206
% Current number of ordered equations: 4
% Current number of rules: 256
% New rule produced :
% [259]
% product(product(product(A,B),product(A,C)),product(product(A,D),A)) <->
% product(A,product(product(B,C),product(D,A)))
% Current number of equations to process: 206
% Current number of ordered equations: 3
% Current number of rules: 257
% New rule produced :
% [260]
% product(product(product(product(A,B),A),product(A,B)),product(A,C)) <->
% product(A,product(product(B,product(A,B)),C))
% Current number of equations to process: 206
% Current number of ordered equations: 2
% Current number of rules: 258
% New rule produced :
% [261]
% product(product(product(A,B),product(product(A,C),A)),product(A,D)) <->
% product(A,product(product(B,product(C,A)),D))
% Current number of equations to process: 206
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced :
% [262]
% product(product(product(product(A,B),A),product(A,C)),product(A,D)) <->
% product(A,product(product(product(B,A),C),D))
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [263]
% product(A,product(product(B,product(C,D)),V_4)) <->
% product(product(A,product(product(B,C),product(B,D))),product(A,V_4))
% Current number of equations to process: 205
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [264]
% product(product(A,product(product(B,C),product(B,D))),product(A,V_4)) <->
% product(A,product(product(B,product(C,D)),V_4))
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [265]
% product(product(A,B),product(A,product(product(C,D),B))) <->
% product(product(product(A,B),product(product(A,C),product(A,D))),product(A,B))
% Current number of equations to process: 204
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [266]
% product(product(product(A,B),product(product(A,C),product(A,D))),product(A,B))
% <-> product(product(A,B),product(A,product(product(C,D),B)))
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [267]
% product(A,product(product(B,C),product(D,product(B,V_4)))) <->
% product(product(A,product(product(B,C),D)),product(A,product(B,product(C,V_4))))
% Current number of equations to process: 202
% Current number of ordered equations: 3
% Current number of rules: 265
% New rule produced :
% [268]
% product(A,product(product(B,C),product(product(B,D),V_4))) <->
% product(product(A,product(B,product(C,D))),product(A,product(product(B,C),V_4)))
% Current number of equations to process: 202
% Current number of ordered equations: 2
% Current number of rules: 266
% New rule produced :
% [269]
% product(product(A,product(B,product(C,D))),product(A,product(product(B,C),V_4)))
% <-> product(A,product(product(B,C),product(product(B,D),V_4)))
% Current number of equations to process: 202
% Current number of ordered equations: 1
% Current number of rules: 267
% New rule produced :
% [270]
% product(product(A,product(product(B,C),D)),product(A,product(B,product(C,V_4))))
% <-> product(A,product(product(B,C),product(D,product(B,V_4))))
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [271]
% product(product(A,B),product(product(C,D),A)) <->
% product(product(product(product(A,B),C),product(product(A,B),D)),product(A,
% product(B,A)))
% Current number of equations to process: 201
% Current number of ordered equations: 1
% Current number of rules: 269
% New rule produced :
% [272]
% product(product(product(product(A,B),C),product(product(A,B),D)),product(A,
% product(B,A)))
% <-> product(product(A,B),product(product(C,D),A))
% Current number of equations to process: 201
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [273]
% product(A,product(B,product(product(C,D),V_4))) <->
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(A,
% product(B,V_4)))
% Current number of equations to process: 200
% Current number of ordered equations: 1
% Current number of rules: 271
% New rule produced :
% [274]
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(A,
% product(B,V_4)))
% <-> product(A,product(B,product(product(C,D),V_4)))
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [275]
% product(A,product(B,product(product(C,D),V_4))) <->
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),
% product(A,V_4)))
% Current number of equations to process: 199
% Current number of ordered equations: 1
% Current number of rules: 273
% New rule produced :
% [276]
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),
% product(A,V_4))) <->
% product(A,product(B,product(product(C,D),V_4)))
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [277]
% product(product(A,product(B,C)),product(product(A,product(B,D)),V_4)) <->
% product(product(A,product(B,product(C,D))),product(product(A,product(B,C)),V_4))
% Current number of equations to process: 197
% Current number of ordered equations: 3
% Current number of rules: 275
% New rule produced :
% [278]
% product(product(A,product(B,C)),product(D,product(A,product(B,V_4)))) <->
% product(product(product(A,product(B,C)),D),product(A,product(B,product(C,V_4))))
% Current number of equations to process: 197
% Current number of ordered equations: 2
% Current number of rules: 276
% New rule produced :
% [279]
% product(product(A,product(B,product(C,D))),product(product(A,product(B,C)),V_4))
% <-> product(product(A,product(B,C)),product(product(A,product(B,D)),V_4))
% Current number of equations to process: 197
% Current number of ordered equations: 1
% Current number of rules: 277
% New rule produced :
% [280]
% product(product(product(A,product(B,C)),D),product(A,product(B,product(C,V_4))))
% <-> product(product(A,product(B,C)),product(D,product(A,product(B,V_4))))
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [281]
% product(A,product(B,product(C,A))) <->
% product(product(A,product(B,C)),product(product(A,B),A))
% Current number of equations to process: 258
% Current number of ordered equations: 3
% Current number of rules: 279
% New rule produced :
% [282]
% product(A,product(B,product(A,C))) <->
% product(product(product(A,B),A),product(A,product(B,C)))
% Current number of equations to process: 258
% Current number of ordered equations: 2
% Current number of rules: 280
% New rule produced :
% [283]
% product(product(A,product(B,C)),product(product(A,B),A)) <->
% product(A,product(B,product(C,A)))
% Current number of equations to process: 258
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [284]
% product(product(product(A,B),A),product(A,product(B,C))) <->
% product(A,product(B,product(A,C)))
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [285]
% product(A,product(product(product(B,C),product(B,D)),V_4)) <->
% product(product(A,product(B,product(C,D))),product(A,V_4))
% Rule
% [197]
% product(A,product(product(product(B,C),product(B,D)),product(B,V_4))) <->
% product(product(A,product(B,product(C,D))),product(A,product(B,V_4)))
% collapsed.
% Current number of equations to process: 263
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [286]
% product(product(A,product(B,product(C,D))),product(A,V_4)) <->
% product(A,product(product(product(B,C),product(B,D)),V_4))
% Rule
% [198]
% product(product(A,product(B,product(C,D))),product(A,product(B,V_4))) <->
% product(A,product(product(product(B,C),product(B,D)),product(B,V_4)))
% collapsed.
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [287]
% product(A,product(A,product(B,product(A,B)))) <->
% product(product(product(A,product(A,B)),A),product(A,product(A,B)))
% Current number of equations to process: 260
% Current number of ordered equations: 5
% Current number of rules: 283
% New rule produced :
% [288]
% product(A,product(B,product(product(C,B),D))) <->
% product(product(A,product(product(B,C),B)),product(A,product(B,D)))
% Current number of equations to process: 260
% Current number of ordered equations: 4
% Current number of rules: 284
% New rule produced :
% [289]
% product(A,product(B,product(C,product(D,B)))) <->
% product(product(A,product(B,C)),product(A,product(product(B,D),B)))
% Current number of equations to process: 260
% Current number of ordered equations: 3
% Current number of rules: 285
% New rule produced :
% [290]
% product(product(A,product(B,C)),product(A,product(product(B,D),B))) <->
% product(A,product(B,product(C,product(D,B))))
% Current number of equations to process: 260
% Current number of ordered equations: 2
% Current number of rules: 286
% New rule produced :
% [291]
% product(product(A,product(product(B,C),B)),product(A,product(B,D))) <->
% product(A,product(B,product(product(C,B),D)))
% Current number of equations to process: 260
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [292]
% product(product(product(A,product(A,B)),A),product(A,product(A,B))) <->
% product(A,product(A,product(B,product(A,B))))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [293]
% product(product(A,product(product(B,C),D)),product(A,product(B,product(C,B))))
% -> product(A,product(product(B,C),product(D,B)))
% Current number of equations to process: 258
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [294]
% product(product(A,product(B,product(C,B))),product(A,product(product(B,C),D)))
% -> product(A,product(product(B,C),product(B,D)))
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [295]
% product(A,product(B,product(C,product(D,V_4)))) <->
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,
% product(C,V_4))))
% Current number of equations to process: 257
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [296]
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,
% product(C,V_4))))
% <-> product(A,product(B,product(C,product(D,V_4))))
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [297]
% product(A,product(B,product(C,product(D,V_4)))) <->
% product(product(A,product(B,C)),product(product(A,B),product(product(A,D),
% product(A,V_4))))
% Current number of equations to process: 254
% Current number of ordered equations: 5
% Current number of rules: 293
% New rule produced :
% [298]
% product(A,product(B,product(C,product(D,V_4)))) <->
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,
% product(C,V_4))))
% Current number of equations to process: 254
% Current number of ordered equations: 4
% Current number of rules: 294
% New rule produced :
% [299]
% product(A,product(B,product(product(C,D),V_4))) <->
% product(product(product(A,B),product(product(A,C),product(A,D))),product(A,
% product(B,V_4)))
% Current number of equations to process: 254
% Current number of ordered equations: 3
% Current number of rules: 295
% New rule produced :
% [300]
% product(product(A,product(B,C)),product(product(A,B),product(product(A,D),
% product(A,V_4)))) <->
% product(A,product(B,product(C,product(D,V_4))))
% Current number of equations to process: 254
% Current number of ordered equations: 2
% Current number of rules: 296
% New rule produced :
% [301]
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,
% product(C,V_4))))
% <-> product(A,product(B,product(C,product(D,V_4))))
% Current number of equations to process: 254
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [302]
% product(product(product(A,B),product(product(A,C),product(A,D))),product(A,
% product(B,V_4)))
% <-> product(A,product(B,product(product(C,D),V_4)))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [303]
% product(product(product(A,B),product(A,C)),product(product(A,D),V_4)) <->
% product(product(A,product(product(B,C),D)),product(product(A,product(B,C)),V_4))
% Current number of equations to process: 253
% Current number of ordered equations: 1
% Current number of rules: 299
% New rule produced :
% [304]
% product(product(A,product(product(B,C),D)),product(product(A,product(B,C)),V_4))
% <-> product(product(product(A,B),product(A,C)),product(product(A,D),V_4))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [305]
% product(A,product(product(B,C),product(D,product(B,V_4)))) <->
% product(product(A,product(product(B,C),D)),product(product(A,B),product(A,
% product(C,V_4))))
% Current number of equations to process: 251
% Current number of ordered equations: 3
% Current number of rules: 301
% New rule produced :
% [306]
% product(A,product(product(B,C),product(product(B,D),V_4))) <->
% product(product(product(A,B),product(A,product(C,D))),product(A,product(
% product(B,C),V_4)))
% Current number of equations to process: 251
% Current number of ordered equations: 2
% Current number of rules: 302
% New rule produced :
% [307]
% product(product(product(A,B),product(A,product(C,D))),product(A,product(
% product(B,C),V_4)))
% <-> product(A,product(product(B,C),product(product(B,D),V_4)))
% Current number of equations to process: 251
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [308]
% product(product(A,product(product(B,C),D)),product(product(A,B),product(A,
% product(C,V_4))))
% <-> product(A,product(product(B,C),product(D,product(B,V_4))))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [309]
% product(product(A,B),product(A,product(C,product(D,V_4)))) <->
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),
% product(B,V_4))))
% Current number of equations to process: 248
% Current number of ordered equations: 5
% Current number of rules: 305
% New rule produced :
% [310]
% product(product(A,B),product(A,product(product(C,D),V_4))) <->
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),
% product(A,V_4)))
% Current number of equations to process: 248
% Current number of ordered equations: 4
% Current number of rules: 306
% New rule produced :
% [311]
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),
% product(B,V_4)))) <->
% product(product(A,B),product(A,product(C,product(D,V_4))))
% Current number of equations to process: 248
% Current number of ordered equations: 3
% Current number of rules: 307
% New rule produced :
% [312]
% product(product(A,product(B,C)),product(product(D,A),product(D,product(B,V_4))))
% <->
% product(product(product(A,product(B,C)),D),product(A,product(B,product(C,V_4))))
% Current number of equations to process: 248
% Current number of ordered equations: 2
% Current number of rules: 308
% New rule produced :
% [313]
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),
% product(A,V_4))) <->
% product(product(A,B),product(A,product(product(C,D),V_4)))
% Current number of equations to process: 248
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [314]
% product(product(product(A,product(B,C)),D),product(A,product(B,product(C,V_4))))
% <->
% product(product(A,product(B,C)),product(product(D,A),product(D,product(B,V_4))))
% Current number of equations to process: 248
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [315]
% product(product(A,B),product(product(A,product(C,D)),product(product(A,C),V_4)))
% <->
% product(product(A,product(B,C)),product(product(A,B),product(product(A,D),V_4)))
% Current number of equations to process: 247
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced :
% [316]
% product(product(A,product(B,C)),product(product(A,B),product(product(A,D),V_4)))
% <->
% product(product(A,B),product(product(A,product(C,D)),product(product(A,C),V_4)))
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [317]
% product(product(A,B),product(A,product(C,A))) <->
% product(product(A,product(B,C)),product(product(A,B),A))
% Current number of equations to process: 315
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [318]
% product(product(A,product(B,C)),product(product(A,B),A)) <->
% product(product(A,B),product(A,product(C,A)))
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [319]
% product(product(A,B),product(product(product(A,C),A),D)) <->
% product(product(A,product(B,product(C,A))),product(product(A,B),D))
% Current number of equations to process: 314
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [320]
% product(product(A,product(B,product(C,A))),product(product(A,B),D)) <->
% product(product(A,B),product(product(product(A,C),A),D))
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [321]
% product(product(product(A,B),A),product(product(A,C),D)) <->
% product(product(A,product(product(B,A),C)),product(product(A,product(B,A)),D))
% Current number of equations to process: 313
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [322]
% product(product(A,product(product(B,A),C)),product(product(A,product(B,A)),D))
% <-> product(product(product(A,B),A),product(product(A,C),D))
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [323]
% product(product(A,B),product(product(product(A,C),D),product(A,C))) <->
% product(product(A,product(B,C)),product(product(A,B),product(D,product(A,C))))
% Current number of equations to process: 312
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced :
% [324]
% product(product(A,product(B,C)),product(product(A,B),product(D,product(A,C))))
% <-> product(product(A,B),product(product(product(A,C),D),product(A,C)))
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [325]
% product(product(A,B),product(product(product(A,C),D),product(A,B))) <->
% product(product(product(A,product(B,C)),product(product(A,B),D)),product(A,B))
% Current number of equations to process: 309
% Current number of ordered equations: 5
% Current number of rules: 321
% New rule produced :
% [326]
% product(product(product(A,B),product(A,C)),product(product(product(A,B),A),D))
% <-> product(product(A,product(B,A)),product(product(product(A,B),C),D))
% Current number of equations to process: 309
% Current number of ordered equations: 4
% Current number of rules: 322
% New rule produced :
% [327]
% product(product(product(A,B),product(C,A)),product(product(product(A,B),C),D))
% <-> product(product(product(A,B),C),product(product(A,product(B,A)),D))
% Current number of equations to process: 309
% Current number of ordered equations: 3
% Current number of rules: 323
% New rule produced :
% [328]
% product(product(product(A,B),C),product(product(A,product(B,A)),D)) <->
% product(product(product(A,B),product(C,A)),product(product(product(A,B),C),D))
% Current number of equations to process: 309
% Current number of ordered equations: 2
% Current number of rules: 324
% New rule produced :
% [329]
% product(product(product(A,product(B,C)),product(product(A,B),D)),product(A,B))
% <-> product(product(A,B),product(product(product(A,C),D),product(A,B)))
% Current number of equations to process: 309
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [330]
% product(product(A,product(B,A)),product(product(product(A,B),C),D)) <->
% product(product(product(A,B),product(A,C)),product(product(product(A,B),A),D))
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [331]
% product(product(A,B),product(A,product(product(C,D),product(C,V_4)))) <->
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,V_4))))
% Current number of equations to process: 308
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [332]
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,V_4))))
% <-> product(product(A,B),product(A,product(product(C,D),product(C,V_4))))
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [333]
% product(A,product(product(B,product(C,D)),product(product(B,C),V_4))) <->
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),V_4)))
% Current number of equations to process: 307
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [334]
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),V_4)))
% <-> product(A,product(product(B,product(C,D)),product(product(B,C),V_4)))
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [335]
% product(A,product(product(B,product(C,D)),product(product(B,C),V_4))) <->
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,V_4)))
% Current number of equations to process: 306
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [336]
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,V_4)))
% <-> product(A,product(product(B,product(C,D)),product(product(B,C),V_4)))
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [337]
% product(product(product(A,B),product(A,C)),product(D,product(A,V_4))) <->
% product(product(product(A,product(B,C)),D),product(A,product(product(B,C),V_4)))
% Current number of equations to process: 305
% Current number of ordered equations: 1
% Current number of rules: 333
% New rule produced :
% [338]
% product(product(product(A,product(B,C)),D),product(A,product(product(B,C),V_4)))
% <-> product(product(product(A,B),product(A,C)),product(D,product(A,V_4)))
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [339]
% product(product(A,B),product(A,product(C,product(D,V_4)))) <->
% product(product(A,product(B,C)),product(product(A,B),product(product(A,D),
% product(A,V_4))))
% Current number of equations to process: 304
% Current number of ordered equations: 1
% Current number of rules: 335
% New rule produced :
% [340]
% product(product(A,product(B,C)),product(product(A,B),product(product(A,D),
% product(A,V_4)))) <->
% product(product(A,B),product(A,product(C,product(D,V_4))))
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [341]
% product(product(A,B),product(A,product(C,product(D,V_4)))) <->
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,
% product(C,V_4))))
% Current number of equations to process: 303
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [342]
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,
% product(C,V_4))))
% <-> product(product(A,B),product(A,product(C,product(D,V_4))))
% Current number of equations to process: 303
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [343]
% product(product(A,B),product(product(product(C,D),A),product(C,product(D,V_4))))
% <->
% product(product(product(A,B),product(C,D)),product(A,product(B,product(C,V_4))))
% Current number of equations to process: 302
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [344]
% product(product(product(A,B),product(C,D)),product(A,product(B,product(C,V_4))))
% <->
% product(product(A,B),product(product(product(C,D),A),product(C,product(D,V_4))))
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [345]
% product(product(A,B),product(product(C,A),C)) <->
% product(product(product(A,B),C),product(A,product(B,C)))
% Current number of equations to process: 384
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [346]
% product(product(product(A,B),C),product(A,product(B,C))) <->
% product(product(A,B),product(product(C,A),C))
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [347]
% product(product(A,B),product(C,product(product(A,D),A))) <->
% product(product(product(A,B),C),product(A,product(B,product(D,A))))
% Current number of equations to process: 383
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced :
% [348]
% product(product(product(A,B),C),product(A,product(B,product(D,A)))) <->
% product(product(A,B),product(C,product(product(A,D),A)))
% Current number of equations to process: 383
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [349]
% product(A,product(product(product(B,C),B),product(B,product(C,D)))) <->
% product(product(A,B),product(A,product(C,product(B,D))))
% Current number of equations to process: 382
% Current number of ordered equations: 1
% Current number of rules: 345
% New rule produced :
% [350]
% product(product(A,B),product(A,product(C,product(B,D)))) <->
% product(A,product(product(product(B,C),B),product(B,product(C,D))))
% Current number of equations to process: 382
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [351]
% product(product(A,B),product(product(product(A,B),A),C)) <->
% product(product(product(A,B),A),product(product(product(A,B),B),C))
% Current number of equations to process: 381
% Current number of ordered equations: 1
% Current number of rules: 347
% New rule produced :
% [352]
% product(product(product(A,B),A),product(product(product(A,B),B),C)) <->
% product(product(A,B),product(product(product(A,B),A),C))
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [353]
% product(A,product(B,product(C,product(A,D)))) <->
% product(product(A,B),product(product(product(A,C),A),product(A,product(C,D))))
% Current number of equations to process: 380
% Current number of ordered equations: 1
% Current number of rules: 349
% New rule produced :
% [354]
% product(product(A,B),product(product(product(A,C),A),product(A,product(C,D))))
% <-> product(A,product(B,product(C,product(A,D))))
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [355]
% product(A,product(product(B,product(A,C)),D)) <->
% product(product(product(product(A,B),A),product(A,product(B,C))),product(A,D))
% Current number of equations to process: 379
% Current number of ordered equations: 1
% Current number of rules: 351
% New rule produced :
% [356]
% product(product(product(product(A,B),A),product(A,product(B,C))),product(A,D))
% <-> product(A,product(product(B,product(A,C)),D))
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [357]
% product(product(A,product(B,C)),product(product(product(A,B),A),D)) <->
% product(product(product(A,B),A),product(product(product(A,B),C),D))
% Current number of equations to process: 378
% Current number of ordered equations: 1
% Current number of rules: 353
% New rule produced :
% [358]
% product(product(product(A,B),A),product(product(product(A,B),C),D)) <->
% product(product(A,product(B,C)),product(product(product(A,B),A),D))
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [359]
% product(product(product(A,B),A),product(C,product(A,D))) <->
% product(product(product(A,product(B,A)),C),product(A,product(product(B,A),D)))
% Current number of equations to process: 377
% Current number of ordered equations: 1
% Current number of rules: 355
% New rule produced :
% [360]
% product(product(product(A,product(B,A)),C),product(A,product(product(B,A),D)))
% <-> product(product(product(A,B),A),product(C,product(A,D)))
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [361]
% product(product(product(A,B),product(C,A)),product(product(A,B),product(C,D)))
% <-> product(product(product(A,B),C),product(A,product(B,D)))
% Current number of equations to process: 376
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [362]
% product(product(product(A,B),C),product(A,product(B,D))) <->
% product(product(product(A,B),product(C,A)),product(product(A,B),product(C,D)))
% Current number of equations to process: 376
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [363]
% product(product(A,B),product(product(A,C),product(D,product(A,C)))) <->
% product(product(product(A,B),product(product(A,C),D)),product(A,product(B,C)))
% Current number of equations to process: 372
% Current number of ordered equations: 7
% Current number of rules: 359
% New rule produced :
% [364]
% product(product(A,B),product(product(C,product(A,D)),product(A,B))) <->
% product(product(product(product(A,B),C),product(A,product(B,D))),product(A,B))
% Current number of equations to process: 372
% Current number of ordered equations: 6
% Current number of rules: 360
% New rule produced :
% [365]
% product(product(product(A,B),C),product(D,product(A,product(B,A)))) <->
% product(product(product(product(A,B),C),D),product(product(A,B),product(C,A)))
% Current number of equations to process: 372
% Current number of ordered equations: 5
% Current number of rules: 361
% New rule produced :
% [366]
% product(product(product(product(A,B),C),D),product(product(A,B),product(C,A)))
% <-> product(product(product(A,B),C),product(D,product(A,product(B,A))))
% Current number of equations to process: 372
% Current number of ordered equations: 4
% Current number of rules: 362
% New rule produced :
% [367]
% product(product(product(A,B),product(product(A,C),D)),product(A,product(B,C)))
% <-> product(product(A,B),product(product(A,C),product(D,product(A,C))))
% Current number of equations to process: 372
% Current number of ordered equations: 3
% Current number of rules: 363
% New rule produced :
% [368]
% product(product(product(product(A,B),C),product(A,product(B,D))),product(A,B))
% <-> product(product(A,B),product(product(C,product(A,D)),product(A,B)))
% Current number of equations to process: 372
% Current number of ordered equations: 2
% Current number of rules: 364
% New rule produced :
% [369]
% product(product(A,product(B,A)),product(C,product(product(A,B),D))) <->
% product(product(product(product(A,B),A),C),product(product(A,B),product(A,D)))
% Current number of equations to process: 372
% Current number of ordered equations: 1
% Current number of rules: 365
% New rule produced :
% [370]
% product(product(product(product(A,B),A),C),product(product(A,B),product(A,D)))
% <-> product(product(A,product(B,A)),product(C,product(product(A,B),D)))
% Current number of equations to process: 372
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [371]
% product(product(A,B),product(A,product(product(C,D),product(C,V_4)))) <->
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,V_4))))
% Current number of equations to process: 371
% Current number of ordered equations: 1
% Current number of rules: 367
% New rule produced :
% [372]
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,V_4))))
% <-> product(product(A,B),product(A,product(product(C,D),product(C,V_4))))
% Current number of equations to process: 371
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [373]
% product(A,product(product(product(B,C),D),product(B,product(C,V_4)))) <->
% product(product(product(A,B),product(A,C)),product(A,product(D,product(B,V_4))))
% Current number of equations to process: 370
% Current number of ordered equations: 1
% Current number of rules: 369
% New rule produced :
% [374]
% product(product(product(A,B),product(A,C)),product(A,product(D,product(B,V_4))))
% <-> product(A,product(product(product(B,C),D),product(B,product(C,V_4))))
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [375]
% product(A,product(product(product(B,C),D),product(B,product(C,V_4)))) <->
% product(product(A,product(B,C)),product(product(A,D),product(A,product(B,V_4))))
% Current number of equations to process: 368
% Current number of ordered equations: 3
% Current number of rules: 371
% New rule produced :
% [376]
% product(product(A,B),product(product(C,A),product(product(C,D),product(C,V_4))))
% <-> product(product(product(A,B),C),product(A,product(B,product(D,V_4))))
% Current number of equations to process: 368
% Current number of ordered equations: 2
% Current number of rules: 372
% New rule produced :
% [377]
% product(product(A,product(B,C)),product(product(A,D),product(A,product(B,V_4))))
% <-> product(A,product(product(product(B,C),D),product(B,product(C,V_4))))
% Current number of equations to process: 368
% Current number of ordered equations: 1
% Current number of rules: 373
% New rule produced :
% [378]
% product(product(product(A,B),C),product(A,product(B,product(D,V_4)))) <->
% product(product(A,B),product(product(C,A),product(product(C,D),product(C,V_4))))
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [379]
% product(product(A,B),product(A,product(product(C,D),V_4))) <->
% product(product(product(A,B),product(product(A,C),product(A,D))),product(A,
% product(B,V_4)))
% Current number of equations to process: 367
% Current number of ordered equations: 1
% Current number of rules: 375
% New rule produced :
% [380]
% product(product(product(A,B),product(product(A,C),product(A,D))),product(A,
% product(B,V_4)))
% <-> product(product(A,B),product(A,product(product(C,D),V_4)))
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [381]
% product(product(A,B),product(A,product(C,product(D,V_4)))) <->
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,
% product(C,V_4))))
% Current number of equations to process: 366
% Current number of ordered equations: 1
% Current number of rules: 377
% New rule produced :
% [382]
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,
% product(C,V_4))))
% <-> product(product(A,B),product(A,product(C,product(D,V_4))))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [383]
% product(product(A,B),product(product(product(A,C),D),product(A,product(C,V_4))))
% <->
% product(product(A,product(B,C)),product(product(A,B),product(D,product(A,V_4))))
% Current number of equations to process: 365
% Current number of ordered equations: 1
% Current number of rules: 379
% New rule produced :
% [384]
% product(product(A,product(B,C)),product(product(A,B),product(D,product(A,V_4))))
% <->
% product(product(A,B),product(product(product(A,C),D),product(A,product(C,V_4))))
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [385]
% product(product(A,product(B,C)),product(product(A,D),V_4)) <->
% product(product(A,product(product(B,C),D)),product(product(product(A,B),
% product(A,C)),V_4))
% Current number of equations to process: 364
% Current number of ordered equations: 1
% Current number of rules: 381
% New rule produced :
% [386]
% product(product(A,product(product(B,C),D)),product(product(product(A,B),
% product(A,C)),V_4)) <->
% product(product(A,product(B,C)),product(product(A,D),V_4))
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [387]
% product(product(A,B),product(product(A,C),A)) <->
% product(product(A,product(B,C)),product(A,product(B,A)))
% Current number of equations to process: 458
% Current number of ordered equations: 1
% Current number of rules: 383
% New rule produced :
% [388]
% product(product(A,product(B,C)),product(A,product(B,A))) <->
% product(product(A,B),product(product(A,C),A))
% Current number of equations to process: 458
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [389]
% product(product(A,B),product(product(A,product(C,B)),D)) <->
% product(product(A,product(product(B,C),B)),product(product(A,B),D))
% Current number of equations to process: 457
% Current number of ordered equations: 1
% Current number of rules: 385
% New rule produced :
% [390]
% product(product(A,product(product(B,C),B)),product(product(A,B),D)) <->
% product(product(A,B),product(product(A,product(C,B)),D))
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [391]
% product(product(product(A,B),A),product(C,product(product(A,B),B))) <->
% product(product(product(product(A,B),A),C),product(A,B))
% Current number of equations to process: 456
% Current number of ordered equations: 1
% Current number of rules: 387
% New rule produced :
% [392]
% product(product(product(product(A,B),A),C),product(A,B)) <->
% product(product(product(A,B),A),product(C,product(product(A,B),B)))
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [393]
% product(product(product(A,B),A),product(C,product(product(A,B),D))) <->
% product(product(product(product(A,B),A),C),product(A,product(B,D)))
% Current number of equations to process: 455
% Current number of ordered equations: 1
% Current number of rules: 389
% New rule produced :
% [394]
% product(product(product(product(A,B),A),C),product(A,product(B,D))) <->
% product(product(product(A,B),A),product(C,product(product(A,B),D)))
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [395]
% product(product(A,product(B,A)),product(product(A,C),D)) <->
% product(product(A,product(product(B,A),C)),product(product(product(A,B),A),D))
% Current number of equations to process: 454
% Current number of ordered equations: 1
% Current number of rules: 391
% New rule produced :
% [396]
% product(product(A,product(product(B,A),C)),product(product(product(A,B),A),D))
% <-> product(product(A,product(B,A)),product(product(A,C),D))
% Current number of equations to process: 454
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [397]
% product(product(A,product(B,product(C,B))),product(product(A,product(B,C)),D))
% -> product(product(A,product(B,C)),product(product(A,B),D))
% Current number of equations to process: 453
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [398]
% product(product(A,B),product(product(A,C),product(A,product(B,C)))) <->
% product(product(product(A,product(B,C)),product(A,B)),product(A,product(B,C)))
% Current number of equations to process: 451
% Current number of ordered equations: 3
% Current number of rules: 394
% New rule produced :
% [399]
% product(product(A,B),product(product(A,C),product(D,product(A,B)))) <->
% product(product(A,product(B,C)),product(product(product(A,B),D),product(A,B)))
% Current number of equations to process: 451
% Current number of ordered equations: 2
% Current number of rules: 395
% New rule produced :
% [400]
% product(product(A,product(B,C)),product(product(product(A,B),D),product(A,B)))
% <-> product(product(A,B),product(product(A,C),product(D,product(A,B))))
% Current number of equations to process: 451
% Current number of ordered equations: 1
% Current number of rules: 396
% New rule produced :
% [401]
% product(product(product(A,product(B,C)),product(A,B)),product(A,product(B,C)))
% <-> product(product(A,B),product(product(A,C),product(A,product(B,C))))
% Current number of equations to process: 451
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [402]
% product(product(product(A,B),product(A,C)),product(product(A,product(B,A)),D))
% <-> product(product(product(A,B),A),product(product(product(A,B),C),D))
% Current number of equations to process: 450
% Current number of ordered equations: 1
% Current number of rules: 398
% New rule produced :
% [403]
% product(product(product(A,B),A),product(product(product(A,B),C),D)) <->
% product(product(product(A,B),product(A,C)),product(product(A,product(B,A)),D))
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [404]
% product(product(A,B),product(product(A,C),product(A,product(D,V_4)))) <->
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,V_4))))
% Current number of equations to process: 449
% Current number of ordered equations: 1
% Current number of rules: 400
% New rule produced :
% [405]
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,V_4))))
% <-> product(product(A,B),product(product(A,C),product(A,product(D,V_4))))
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [406]
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,V_4))))
% <-> product(product(A,product(B,C)),product(A,product(B,product(D,V_4))))
% Current number of equations to process: 448
% Current number of ordered equations: 1
% Current number of rules: 402
% New rule produced :
% [407]
% product(product(A,product(B,C)),product(A,product(B,product(D,V_4)))) <->
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,V_4))))
% Current number of equations to process: 448
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [408]
% product(A,product(product(B,C),product(product(B,D),V_4))) <->
% product(product(A,product(B,product(C,D))),product(product(A,product(B,C)),
% product(A,V_4)))
% Current number of equations to process: 447
% Current number of ordered equations: 1
% Current number of rules: 404
% New rule produced :
% [409]
% product(product(A,product(B,product(C,D))),product(product(A,product(B,C)),
% product(A,V_4))) <->
% product(A,product(product(B,C),product(product(B,D),V_4)))
% Current number of equations to process: 447
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [410]
% product(product(A,B),product(product(A,product(C,D)),V_4)) <->
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(
% product(A,B),V_4))
% Current number of equations to process: 446
% Current number of ordered equations: 1
% Current number of rules: 406
% New rule produced :
% [411]
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(
% product(A,B),V_4))
% <-> product(product(A,B),product(product(A,product(C,D)),V_4))
% Current number of equations to process: 446
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [412]
% product(product(A,product(B,C)),product(product(A,D),product(A,product(B,V_4))))
% <->
% product(product(A,product(product(B,C),D)),product(A,product(B,product(C,V_4))))
% Current number of equations to process: 445
% Current number of ordered equations: 1
% Current number of rules: 408
% New rule produced :
% [413]
% product(product(A,product(product(B,C),D)),product(A,product(B,product(C,V_4))))
% <->
% product(product(A,product(B,C)),product(product(A,D),product(A,product(B,V_4))))
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [414]
% product(product(A,product(B,C)),product(D,product(A,V_4))) <->
% product(product(product(product(A,B),product(A,C)),D),product(A,product(
% product(B,C),V_4)))
% Current number of equations to process: 444
% Current number of ordered equations: 1
% Current number of rules: 410
% New rule produced :
% [415]
% product(product(product(product(A,B),product(A,C)),D),product(A,product(
% product(B,C),V_4)))
% <-> product(product(A,product(B,C)),product(D,product(A,V_4)))
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [416]
% product(product(A,B),product(A,product(C,B))) <->
% product(product(A,product(B,C)),product(A,B))
% Rule
% [37]
% product(product(A,B),product(A,product(A,B))) <->
% product(product(A,product(B,A)),product(A,B)) collapsed.
% Current number of equations to process: 536
% Current number of ordered equations: 1
% Current number of rules: 411
% New rule produced :
% [417]
% product(product(A,product(B,C)),product(A,B)) <->
% product(product(A,B),product(A,product(C,B)))
% Rule
% [38]
% product(product(A,product(B,A)),product(A,B)) <->
% product(product(A,B),product(A,product(A,B))) collapsed.
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [418]
% product(A,product(product(product(B,C),product(B,D)),B)) <->
% product(product(A,B),product(A,product(product(C,D),B)))
% Current number of equations to process: 535
% Current number of ordered equations: 1
% Current number of rules: 412
% New rule produced :
% [419]
% product(product(A,B),product(A,product(product(C,D),B))) <->
% product(A,product(product(product(B,C),product(B,D)),B))
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [420]
% product(product(A,B),product(C,product(A,product(D,B)))) <->
% product(product(product(A,B),C),product(A,product(product(B,D),B)))
% Current number of equations to process: 534
% Current number of ordered equations: 1
% Current number of rules: 414
% New rule produced :
% [421]
% product(product(product(A,B),C),product(A,product(product(B,D),B))) <->
% product(product(A,B),product(C,product(A,product(D,B))))
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [422]
% product(A,product(product(product(B,C),product(B,product(D,C))),B)) <->
% product(product(A,B),product(A,product(product(product(C,D),C),B)))
% Current number of equations to process: 533
% Current number of ordered equations: 1
% Current number of rules: 416
% New rule produced :
% [423]
% product(product(A,B),product(A,product(product(product(C,D),C),B))) <->
% product(A,product(product(product(B,C),product(B,product(D,C))),B))
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [424]
% product(product(A,product(B,A)),product(C,product(A,D))) <->
% product(product(product(product(A,B),A),C),product(A,product(product(B,A),D)))
% Current number of equations to process: 532
% Current number of ordered equations: 1
% Current number of rules: 418
% New rule produced :
% [425]
% product(product(product(product(A,B),A),C),product(A,product(product(B,A),D)))
% <-> product(product(A,product(B,A)),product(C,product(A,D)))
% Current number of equations to process: 532
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [426]
% product(product(product(A,product(B,C)),D),product(A,product(B,product(C,B))))
% -> product(product(A,product(B,C)),product(D,product(A,B)))
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [427]
% product(A,product(product(B,product(C,D)),product(B,C))) <->
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,C))))
% Current number of equations to process: 530
% Current number of ordered equations: 1
% Current number of rules: 421
% New rule produced :
% [428]
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,C))))
% <-> product(A,product(product(B,product(C,D)),product(B,C)))
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [429]
% product(product(A,B),product(product(C,product(A,B)),product(A,D))) <->
% product(product(product(product(A,B),C),product(A,B)),product(A,product(B,D)))
% Current number of equations to process: 529
% Current number of ordered equations: 1
% Current number of rules: 423
% New rule produced :
% [430]
% product(product(product(product(A,B),C),product(A,B)),product(A,product(B,D)))
% <-> product(product(A,B),product(product(C,product(A,B)),product(A,D)))
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [431]
% product(product(product(A,B),A),product(C,product(product(A,B),D))) <->
% product(product(product(A,product(B,A)),C),product(product(A,B),product(A,D)))
% Current number of equations to process: 528
% Current number of ordered equations: 1
% Current number of rules: 425
% New rule produced :
% [432]
% product(product(product(A,product(B,A)),C),product(product(A,B),product(A,D)))
% <-> product(product(product(A,B),A),product(C,product(product(A,B),D)))
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [433]
% product(product(A,B),product(product(A,product(C,D)),product(A,V_4))) <->
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,V_4)))
% Current number of equations to process: 527
% Current number of ordered equations: 1
% Current number of rules: 427
% New rule produced :
% [434]
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,V_4)))
% <-> product(product(A,B),product(product(A,product(C,D)),product(A,V_4)))
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [435]
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,V_4)))
% <-> product(product(A,product(B,product(C,D))),product(A,product(B,V_4)))
% Current number of equations to process: 526
% Current number of ordered equations: 1
% Current number of rules: 429
% New rule produced :
% [436]
% product(product(A,product(B,product(C,D))),product(A,product(B,V_4))) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,V_4)))
% Current number of equations to process: 526
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [437]
% product(A,product(product(product(B,C),B),B)) <->
% product(product(A,B),product(A,product(product(C,B),B)))
% Current number of equations to process: 592
% Current number of ordered equations: 1
% Current number of rules: 431
% New rule produced :
% [438]
% product(product(A,B),product(A,product(product(C,B),B))) <->
% product(A,product(product(product(B,C),B),B))
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [439]
% product(A,product(product(product(B,C),B),A)) <->
% product(product(product(A,B),product(A,product(C,B))),A)
% Current number of equations to process: 591
% Current number of ordered equations: 1
% Current number of rules: 433
% New rule produced :
% [440]
% product(product(product(A,B),product(A,product(C,B))),A) <->
% product(A,product(product(product(B,C),B),A))
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [441]
% product(A,product(product(B,product(C,B)),product(B,C))) <->
% product(product(A,product(B,C)),product(A,product(B,product(B,C))))
% Current number of equations to process: 590
% Current number of ordered equations: 1
% Current number of rules: 435
% New rule produced :
% [442]
% product(product(A,product(B,C)),product(A,product(B,product(B,C)))) <->
% product(A,product(product(B,product(C,B)),product(B,C)))
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [443]
% product(A,product(product(B,product(C,D)),product(B,C))) <->
% product(product(A,B),product(product(A,C),product(A,product(D,C))))
% Current number of equations to process: 589
% Current number of ordered equations: 1
% Current number of rules: 437
% New rule produced :
% [444]
% product(product(A,B),product(product(A,C),product(A,product(D,C)))) <->
% product(A,product(product(B,product(C,D)),product(B,C)))
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [445]
% product(A,product(product(B,C),product(B,product(D,C)))) <->
% product(product(A,B),product(product(A,product(C,D)),product(A,C)))
% Current number of equations to process: 588
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced :
% [446]
% product(product(A,B),product(product(A,product(C,D)),product(A,C))) <->
% product(A,product(product(B,C),product(B,product(D,C))))
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [447]
% product(A,product(product(B,C),product(B,product(D,C)))) <->
% product(product(A,product(B,product(C,D))),product(A,product(B,C)))
% Current number of equations to process: 587
% Current number of ordered equations: 1
% Current number of rules: 441
% New rule produced :
% [448]
% product(product(A,product(B,product(C,D))),product(A,product(B,C))) <->
% product(A,product(product(B,C),product(B,product(D,C))))
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [449]
% product(A,product(B,product(product(C,D),C))) <->
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,C))))
% Current number of equations to process: 586
% Current number of ordered equations: 1
% Current number of rules: 443
% New rule produced :
% [450]
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,C))))
% <-> product(A,product(B,product(product(C,D),C)))
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [451]
% product(A,product(product(product(B,C),product(B,D)),product(B,C))) <->
% product(product(A,product(B,C)),product(A,product(B,product(D,C))))
% Current number of equations to process: 585
% Current number of ordered equations: 1
% Current number of rules: 445
% New rule produced :
% [452]
% product(product(A,product(B,C)),product(A,product(B,product(D,C)))) <->
% product(A,product(product(product(B,C),product(B,D)),product(B,C)))
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [453]
% product(A,product(product(product(B,C),D),product(B,C))) <->
% product(product(A,product(B,C)),product(A,product(product(D,B),product(D,C))))
% Current number of equations to process: 584
% Current number of ordered equations: 1
% Current number of rules: 447
% New rule produced :
% [454]
% product(product(A,product(B,C)),product(A,product(product(D,B),product(D,C))))
% <-> product(A,product(product(product(B,C),D),product(B,C)))
% Current number of equations to process: 584
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [455]
% product(product(product(A,B),A),product(product(C,A),product(C,product(B,A))))
% <-> product(product(product(product(A,B),A),C),product(product(A,B),A))
% Current number of equations to process: 583
% Current number of ordered equations: 1
% Current number of rules: 449
% New rule produced :
% [456]
% product(product(product(product(A,B),A),C),product(product(A,B),A)) <->
% product(product(product(A,B),A),product(product(C,A),product(C,product(B,A))))
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [457]
% product(A,product(product(product(B,C),product(B,product(D,V_4))),B)) <->
% product(product(A,B),product(A,product(product(product(C,D),product(C,V_4)),B)))
% Current number of equations to process: 580
% Current number of ordered equations: 5
% Current number of rules: 451
% New rule produced :
% [458]
% product(A,product(product(product(B,C),product(B,product(D,C))),product(B,V_4)))
% <-> product(product(A,B),product(A,product(product(product(C,D),C),V_4)))
% Current number of equations to process: 580
% Current number of ordered equations: 4
% Current number of rules: 452
% New rule produced :
% [459]
% product(A,product(product(B,C),product(product(B,D),product(B,product(V_4,D)))))
% <-> product(product(A,B),product(A,product(C,product(product(D,V_4),D))))
% Current number of equations to process: 580
% Current number of ordered equations: 3
% Current number of rules: 453
% New rule produced :
% [460]
% product(product(A,B),product(A,product(C,product(product(D,V_4),D)))) <->
% product(A,product(product(B,C),product(product(B,D),product(B,product(V_4,D)))))
% Current number of equations to process: 580
% Current number of ordered equations: 2
% Current number of rules: 454
% New rule produced :
% [461]
% product(product(A,B),product(A,product(product(product(C,D),product(C,V_4)),B)))
% <-> product(A,product(product(product(B,C),product(B,product(D,V_4))),B))
% Current number of equations to process: 580
% Current number of ordered equations: 1
% Current number of rules: 455
% New rule produced :
% [462]
% product(product(A,B),product(A,product(product(product(C,D),C),V_4))) <->
% product(A,product(product(product(B,C),product(B,product(D,C))),product(B,V_4)))
% Current number of equations to process: 580
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [463]
% product(A,product(product(B,C),product(B,product(product(D,V_4),D)))) <->
% product(product(A,B),product(A,product(product(C,D),product(C,product(V_4,D)))))
% Current number of equations to process: 579
% Current number of ordered equations: 1
% Current number of rules: 457
% New rule produced :
% [464]
% product(product(A,B),product(A,product(product(C,D),product(C,product(V_4,D)))))
% <-> product(A,product(product(B,C),product(B,product(product(D,V_4),D))))
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [465]
% product(A,product(product(product(product(B,C),product(B,D)),product(B,V_4)),B))
% <-> product(product(A,B),product(A,product(product(product(C,D),V_4),B)))
% Current number of equations to process: 577
% Current number of ordered equations: 3
% Current number of rules: 459
% New rule produced :
% [466]
% product(A,product(product(product(B,C),product(B,product(D,C))),V_4)) <->
% product(product(product(A,B),product(A,product(product(C,D),C))),product(A,V_4))
% Current number of equations to process: 577
% Current number of ordered equations: 2
% Current number of rules: 460
% New rule produced :
% [467]
% product(product(A,B),product(A,product(product(product(C,D),V_4),B))) <->
% product(A,product(product(product(product(B,C),product(B,D)),product(B,V_4)),B))
% Current number of equations to process: 577
% Current number of ordered equations: 1
% Current number of rules: 461
% New rule produced :
% [468]
% product(product(product(A,B),product(A,product(product(C,D),C))),product(A,V_4))
% <-> product(A,product(product(product(B,C),product(B,product(D,C))),V_4))
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [469]
% product(A,product(product(product(B,C),product(product(B,D),product(B,V_4))),B))
% <-> product(product(A,B),product(A,product(product(C,product(D,V_4)),B)))
% Current number of equations to process: 574
% Current number of ordered equations: 5
% Current number of rules: 463
% New rule produced :
% [470]
% product(A,product(B,product(product(C,D),product(C,product(V_4,D))))) <->
% product(product(A,B),product(product(A,C),product(A,product(product(D,V_4),D))))
% Current number of equations to process: 574
% Current number of ordered equations: 4
% Current number of rules: 464
% New rule produced :
% [471]
% product(product(A,B),product(product(A,C),product(A,product(product(D,V_4),D))))
% <-> product(A,product(B,product(product(C,D),product(C,product(V_4,D)))))
% Current number of equations to process: 574
% Current number of ordered equations: 3
% Current number of rules: 465
% New rule produced :
% [472]
% product(product(A,B),product(A,product(product(C,product(D,V_4)),B))) <->
% product(A,product(product(product(B,C),product(product(B,D),product(B,V_4))),B))
% Current number of equations to process: 574
% Current number of ordered equations: 2
% Current number of rules: 466
% New rule produced :
% [473]
% product(product(A,product(B,C)),product(A,product(D,product(B,C)))) <->
% product(product(A,product(product(B,C),D)),product(product(A,B),product(A,C)))
% Current number of equations to process: 574
% Current number of ordered equations: 1
% Current number of rules: 467
% New rule produced :
% [474]
% product(product(A,product(product(B,C),D)),product(product(A,B),product(A,C)))
% <-> product(product(A,product(B,C)),product(A,product(D,product(B,C))))
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [475]
% product(A,product(product(product(B,product(C,D)),product(B,product(C,V_4))),B))
% <-> product(product(A,B),product(A,product(product(C,product(D,V_4)),B)))
% Current number of equations to process: 572
% Current number of ordered equations: 3
% Current number of rules: 469
% New rule produced :
% [476]
% product(A,product(B,product(product(C,D),product(C,product(V_4,D))))) <->
% product(product(A,product(B,C)),product(A,product(B,product(product(D,V_4),D))))
% Current number of equations to process: 572
% Current number of ordered equations: 2
% Current number of rules: 470
% New rule produced :
% [477]
% product(product(A,B),product(A,product(product(C,product(D,V_4)),B))) <->
% product(A,product(product(product(B,product(C,D)),product(B,product(C,V_4))),B))
% Current number of equations to process: 572
% Current number of ordered equations: 1
% Current number of rules: 471
% New rule produced :
% [478]
% product(product(A,product(B,C)),product(A,product(B,product(product(D,V_4),D))))
% <-> product(A,product(B,product(product(C,D),product(C,product(V_4,D)))))
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [479]
% product(product(A,product(product(B,C),D)),product(product(A,B),product(A,
% product(C,B))))
% -> product(A,product(product(B,C),product(D,B)))
% Current number of equations to process: 570
% Current number of ordered equations: 1
% Current number of rules: 473
% New rule produced :
% [480]
% product(product(product(A,B),product(A,product(C,B))),product(A,product(
% product(B,C),D)))
% -> product(A,product(product(B,C),product(B,D)))
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [481]
% product(product(A,B),product(product(product(C,B),A),product(C,B))) <->
% product(product(product(A,B),product(C,B)),product(A,product(product(B,C),B)))
% Current number of equations to process: 569
% Current number of ordered equations: 1
% Current number of rules: 475
% New rule produced :
% [482]
% product(product(product(A,B),product(C,B)),product(A,product(product(B,C),B)))
% <-> product(product(A,B),product(product(product(C,B),A),product(C,B)))
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [483]
% product(A,product(product(B,product(B,C)),B)) <->
% product(product(A,B),product(A,product(B,product(C,B))))
% Current number of equations to process: 662
% Current number of ordered equations: 1
% Current number of rules: 477
% New rule produced :
% [484]
% product(product(A,B),product(A,product(B,product(C,B)))) <->
% product(A,product(product(B,product(B,C)),B))
% Current number of equations to process: 662
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [485]
% product(A,product(B,product(product(C,D),C))) <->
% product(product(A,B),product(A,product(C,product(D,C))))
% Current number of equations to process: 661
% Current number of ordered equations: 1
% Current number of rules: 479
% New rule produced :
% [486]
% product(product(A,B),product(A,product(C,product(D,C)))) <->
% product(A,product(B,product(product(C,D),C)))
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [487]
% product(A,product(B,product(C,product(D,C)))) <->
% product(product(A,B),product(A,product(product(C,D),C)))
% Current number of equations to process: 660
% Current number of ordered equations: 1
% Current number of rules: 481
% New rule produced :
% [488]
% product(product(A,B),product(A,product(product(C,D),C))) <->
% product(A,product(B,product(C,product(D,C))))
% Current number of equations to process: 660
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [489]
% product(A,product(product(B,product(C,B)),D)) <->
% product(product(A,product(product(B,C),B)),product(A,D))
% Current number of equations to process: 659
% Current number of ordered equations: 1
% Current number of rules: 483
% New rule produced :
% [490]
% product(product(A,product(product(B,C),B)),product(A,D)) <->
% product(A,product(product(B,product(C,B)),D))
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [491]
% product(A,product(product(B,product(B,C)),B)) <->
% product(product(A,B),product(product(A,B),product(A,product(C,B))))
% Current number of equations to process: 658
% Current number of ordered equations: 1
% Current number of rules: 485
% New rule produced :
% [492]
% product(product(A,B),product(product(A,B),product(A,product(C,B)))) <->
% product(A,product(product(B,product(B,C)),B))
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [493]
% product(A,product(product(product(B,C),C),product(B,C))) <->
% product(product(A,product(B,C)),product(A,product(product(C,B),C)))
% Current number of equations to process: 657
% Current number of ordered equations: 1
% Current number of rules: 487
% New rule produced :
% [494]
% product(product(A,product(B,C)),product(A,product(product(C,B),C))) <->
% product(A,product(product(product(B,C),C),product(B,C)))
% Current number of equations to process: 657
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [495]
% product(product(A,B),product(product(A,product(C,B)),product(A,B))) <->
% product(product(A,product(product(B,C),B)),product(A,B))
% Current number of equations to process: 656
% Current number of ordered equations: 1
% Current number of rules: 489
% New rule produced :
% [496]
% product(product(A,product(product(B,C),B)),product(A,B)) <->
% product(product(A,B),product(product(A,product(C,B)),product(A,B)))
% Current number of equations to process: 656
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [497]
% product(product(product(A,B),A),product(A,product(C,product(B,A)))) <->
% product(product(A,product(product(B,A),C)),product(A,product(B,A)))
% Current number of equations to process: 655
% Current number of ordered equations: 1
% Current number of rules: 491
% New rule produced :
% [498]
% product(product(A,product(product(B,A),C)),product(A,product(B,A))) <->
% product(product(product(A,B),A),product(A,product(C,product(B,A))))
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [499]
% product(product(A,B),product(product(C,A),product(C,product(D,B)))) <->
% product(product(product(A,B),C),product(A,product(product(B,D),B)))
% Current number of equations to process: 654
% Current number of ordered equations: 1
% Current number of rules: 493
% New rule produced :
% [500]
% product(product(product(A,B),C),product(A,product(product(B,D),B))) <->
% product(product(A,B),product(product(C,A),product(C,product(D,B))))
% Current number of equations to process: 654
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [501]
% product(A,product(product(B,product(C,D)),B)) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,B)))
% Current number of equations to process: 652
% Current number of ordered equations: 3
% Current number of rules: 495
% New rule produced :
% [502]
% product(A,product(B,product(product(C,D),C))) <->
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,C))))
% Current number of equations to process: 652
% Current number of ordered equations: 2
% Current number of rules: 496
% New rule produced :
% [503]
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,B)))
% <-> product(A,product(product(B,product(C,D)),B))
% Current number of equations to process: 652
% Current number of ordered equations: 1
% Current number of rules: 497
% New rule produced :
% [504]
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,C))))
% <-> product(A,product(B,product(product(C,D),C)))
% Current number of equations to process: 652
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [505]
% product(A,product(B,product(product(C,D),C))) <->
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,C))))
% Current number of equations to process: 651
% Current number of ordered equations: 1
% Current number of rules: 499
% New rule produced :
% [506]
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,C))))
% <-> product(A,product(B,product(product(C,D),C)))
% Current number of equations to process: 651
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [507]
% product(product(A,B),product(product(A,C),product(A,product(D,B)))) <->
% product(product(A,product(B,C)),product(A,product(product(B,D),B)))
% Current number of equations to process: 650
% Current number of ordered equations: 1
% Current number of rules: 501
% New rule produced :
% [508]
% product(product(A,product(B,C)),product(A,product(product(B,D),B))) <->
% product(product(A,B),product(product(A,C),product(A,product(D,B))))
% Current number of equations to process: 650
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [509]
% product(product(A,B),product(product(A,product(C,B)),product(A,D))) <->
% product(product(A,product(product(B,C),B)),product(A,product(B,D)))
% Current number of equations to process: 649
% Current number of ordered equations: 1
% Current number of rules: 503
% New rule produced :
% [510]
% product(product(A,product(product(B,C),B)),product(A,product(B,D))) <->
% product(product(A,B),product(product(A,product(C,B)),product(A,D)))
% Current number of equations to process: 649
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [511]
% product(product(A,B),product(A,product(product(C,B),D))) <->
% product(product(A,product(product(B,C),B)),product(product(A,B),product(A,D)))
% Current number of equations to process: 647
% Current number of ordered equations: 3
% Current number of rules: 505
% New rule produced :
% [512]
% product(product(A,B),product(A,product(C,product(D,B)))) <->
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),B)))
% Current number of equations to process: 647
% Current number of ordered equations: 2
% Current number of rules: 506
% New rule produced :
% [513]
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),B)))
% <-> product(product(A,B),product(A,product(C,product(D,B))))
% Current number of equations to process: 647
% Current number of ordered equations: 1
% Current number of rules: 507
% New rule produced :
% [514]
% product(product(A,product(product(B,C),B)),product(product(A,B),product(A,D)))
% <-> product(product(A,B),product(A,product(product(C,B),D)))
% Current number of equations to process: 647
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [515]
% product(product(A,B),product(A,product(product(C,D),C))) <->
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,C))))
% Current number of equations to process: 646
% Current number of ordered equations: 1
% Current number of rules: 509
% New rule produced :
% [516]
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,C))))
% <-> product(product(A,B),product(A,product(product(C,D),C)))
% Current number of equations to process: 646
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [517]
% product(product(A,B),product(A,product(product(C,D),C))) <->
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,C))))
% Current number of equations to process: 645
% Current number of ordered equations: 1
% Current number of rules: 511
% New rule produced :
% [518]
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,C))))
% <-> product(product(A,B),product(A,product(product(C,D),C)))
% Current number of equations to process: 645
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [519]
% product(product(A,product(B,C)),product(A,product(product(C,B),C))) <->
% product(product(product(A,product(B,C)),product(A,C)),product(A,product(B,C)))
% Current number of equations to process: 644
% Current number of ordered equations: 1
% Current number of rules: 513
% New rule produced :
% [520]
% product(product(product(A,product(B,C)),product(A,C)),product(A,product(B,C)))
% <-> product(product(A,product(B,C)),product(A,product(product(C,B),C)))
% Current number of equations to process: 644
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [521]
% product(A,product(product(product(B,C),product(B,D)),product(B,C))) <->
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,C))))
% Current number of equations to process: 643
% Current number of ordered equations: 1
% Current number of rules: 515
% New rule produced :
% [522]
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,C))))
% <-> product(A,product(product(product(B,C),product(B,D)),product(B,C)))
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [523]
% product(A,product(product(B,product(C,D)),product(B,product(C,product(V_4,D)))))
% <-> product(product(A,B),product(A,product(C,product(product(D,V_4),D))))
% Current number of equations to process: 642
% Current number of ordered equations: 1
% Current number of rules: 517
% New rule produced :
% [524]
% product(product(A,B),product(A,product(C,product(product(D,V_4),D)))) <->
% product(A,product(product(B,product(C,D)),product(B,product(C,product(V_4,D)))))
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [525]
% product(product(A,B),product(product(product(C,A),product(C,B)),D)) <->
% product(product(product(product(A,B),C),product(A,B)),product(product(A,B),D))
% Current number of equations to process: 641
% Current number of ordered equations: 1
% Current number of rules: 519
% New rule produced :
% [526]
% product(product(product(product(A,B),C),product(A,B)),product(product(A,B),D))
% <-> product(product(A,B),product(product(product(C,A),product(C,B)),D))
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [527]
% product(A,product(product(A,product(B,A)),C)) <->
% product(product(product(A,product(A,B)),A),product(A,C))
% Current number of equations to process: 718
% Current number of ordered equations: 3
% Current number of rules: 521
% New rule produced :
% [528]
% product(A,product(product(product(B,A),C),A)) <->
% product(product(product(product(A,B),A),product(A,C)),A)
% Current number of equations to process: 718
% Current number of ordered equations: 2
% Current number of rules: 522
% New rule produced :
% [529]
% product(product(product(A,product(A,B)),A),product(A,C)) <->
% product(A,product(product(A,product(B,A)),C))
% Current number of equations to process: 718
% Current number of ordered equations: 1
% Current number of rules: 523
% New rule produced :
% [530]
% product(product(product(product(A,B),A),product(A,C)),A) <->
% product(A,product(product(product(B,A),C),A))
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [531]
% product(A,product(product(B,product(C,A)),B)) <->
% product(product(A,B),product(product(product(A,C),A),product(A,B)))
% Current number of equations to process: 716
% Current number of ordered equations: 3
% Current number of rules: 525
% New rule produced :
% [532]
% product(A,product(B,product(product(A,C),A))) <->
% product(product(product(A,B),A),product(A,product(B,product(C,A))))
% Current number of equations to process: 716
% Current number of ordered equations: 2
% Current number of rules: 526
% New rule produced :
% [533]
% product(product(A,B),product(product(product(A,C),A),product(A,B))) <->
% product(A,product(product(B,product(C,A)),B))
% Current number of equations to process: 716
% Current number of ordered equations: 1
% Current number of rules: 527
% New rule produced :
% [534]
% product(product(product(A,B),A),product(A,product(B,product(C,A)))) <->
% product(A,product(B,product(product(A,C),A)))
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [535]
% product(A,product(product(B,product(C,A)),product(B,D))) <->
% product(product(A,B),product(product(product(A,C),A),product(A,D)))
% Current number of equations to process: 715
% Current number of ordered equations: 1
% Current number of rules: 529
% New rule produced :
% [536]
% product(product(A,B),product(product(product(A,C),A),product(A,D))) <->
% product(A,product(product(B,product(C,A)),product(B,D)))
% Current number of equations to process: 715
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [537]
% product(A,product(product(product(B,C),B),product(B,D))) <->
% product(product(A,B),product(product(A,product(C,B)),product(A,D)))
% Current number of equations to process: 714
% Current number of ordered equations: 1
% Current number of rules: 531
% New rule produced :
% [538]
% product(product(A,B),product(product(A,product(C,B)),product(A,D))) <->
% product(A,product(product(product(B,C),B),product(B,D)))
% Current number of equations to process: 714
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [539]
% product(A,product(product(product(B,C),B),product(B,D))) <->
% product(product(A,product(B,product(C,B))),product(A,product(B,D)))
% Current number of equations to process: 713
% Current number of ordered equations: 1
% Current number of rules: 533
% New rule produced :
% [540]
% product(product(A,product(B,product(C,B))),product(A,product(B,D))) <->
% product(A,product(product(product(B,C),B),product(B,D)))
% Current number of equations to process: 713
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [541]
% product(A,product(B,product(A,product(C,D)))) <->
% product(product(product(A,B),A),product(A,product(product(B,C),product(B,D))))
% Current number of equations to process: 712
% Current number of ordered equations: 1
% Current number of rules: 535
% New rule produced :
% [542]
% product(product(product(A,B),A),product(A,product(product(B,C),product(B,D))))
% <-> product(A,product(B,product(A,product(C,D))))
% Current number of equations to process: 712
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [543]
% product(A,product(product(product(product(B,C),B),product(B,D)),B)) <->
% product(product(A,B),product(A,product(product(product(C,B),D),B)))
% Current number of equations to process: 711
% Current number of ordered equations: 1
% Current number of rules: 537
% New rule produced :
% [544]
% product(product(A,B),product(A,product(product(product(C,B),D),B))) <->
% product(A,product(product(product(product(B,C),B),product(B,D)),B))
% Current number of equations to process: 711
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [545]
% product(product(A,B),product(product(product(B,A),B),C)) <->
% product(product(product(product(A,B),B),product(A,B)),product(product(A,B),C))
% Current number of equations to process: 710
% Current number of ordered equations: 1
% Current number of rules: 539
% New rule produced :
% [546]
% product(product(product(product(A,B),B),product(A,B)),product(product(A,B),C))
% <-> product(product(A,B),product(product(product(B,A),B),C))
% Current number of equations to process: 710
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [547]
% product(A,product(product(B,C),product(A,product(B,D)))) <->
% product(product(product(A,product(B,C)),A),product(A,product(B,product(C,D))))
% Current number of equations to process: 709
% Current number of ordered equations: 1
% Current number of rules: 541
% New rule produced :
% [548]
% product(product(product(A,product(B,C)),A),product(A,product(B,product(C,D))))
% <-> product(A,product(product(B,C),product(A,product(B,D))))
% Current number of equations to process: 709
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [549]
% product(product(product(A,B),C),product(product(product(B,A),B),product(B,C)))
% <-> product(product(product(product(A,B),C),B),product(product(A,B),C))
% Current number of equations to process: 708
% Current number of ordered equations: 1
% Current number of rules: 543
% New rule produced :
% [550]
% product(product(product(product(A,B),C),B),product(product(A,B),C)) <->
% product(product(product(A,B),C),product(product(product(B,A),B),product(B,C)))
% Current number of equations to process: 708
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [551]
% product(A,product(product(product(product(B,C),B),product(B,D)),product(B,V_4)))
% <-> product(product(A,B),product(A,product(product(product(C,B),D),V_4)))
% Current number of equations to process: 706
% Current number of ordered equations: 3
% Current number of rules: 545
% New rule produced :
% [552]
% product(A,product(product(B,C),product(product(product(B,D),B),product(B,V_4))))
% <-> product(product(A,B),product(A,product(C,product(product(D,B),V_4))))
% Current number of equations to process: 706
% Current number of ordered equations: 2
% Current number of rules: 546
% New rule produced :
% [553]
% product(product(A,B),product(A,product(product(product(C,B),D),V_4))) <->
% product(A,product(product(product(product(B,C),B),product(B,D)),product(B,V_4)))
% Current number of equations to process: 706
% Current number of ordered equations: 1
% Current number of rules: 547
% New rule produced :
% [554]
% product(product(A,B),product(A,product(C,product(product(D,B),V_4)))) <->
% product(A,product(product(B,C),product(product(product(B,D),B),product(B,V_4))))
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [555]
% product(A,product(product(B,C),product(B,product(product(D,C),V_4)))) <->
% product(product(A,B),product(A,product(product(product(C,D),C),product(C,V_4))))
% Current number of equations to process: 705
% Current number of ordered equations: 1
% Current number of rules: 549
% New rule produced :
% [556]
% product(product(A,B),product(A,product(product(product(C,D),C),product(C,V_4))))
% <-> product(A,product(product(B,C),product(B,product(product(D,C),V_4))))
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [557]
% product(A,product(product(product(product(B,C),B),product(B,D)),V_4)) <->
% product(product(product(A,B),product(A,product(product(C,B),D))),product(A,V_4))
% Current number of equations to process: 704
% Current number of ordered equations: 1
% Current number of rules: 551
% New rule produced :
% [558]
% product(product(product(A,B),product(A,product(product(C,B),D))),product(A,V_4))
% <-> product(A,product(product(product(product(B,C),B),product(B,D)),V_4))
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [559]
% product(A,product(B,product(product(product(C,D),C),product(C,V_4)))) <->
% product(product(A,B),product(product(A,C),product(A,product(product(D,C),V_4))))
% Current number of equations to process: 703
% Current number of ordered equations: 1
% Current number of rules: 553
% New rule produced :
% [560]
% product(product(A,B),product(product(A,C),product(A,product(product(D,C),V_4))))
% <-> product(A,product(B,product(product(product(C,D),C),product(C,V_4))))
% Current number of equations to process: 703
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [561]
% product(A,product(B,product(product(product(C,D),C),product(C,V_4)))) <->
% product(product(A,product(B,C)),product(A,product(B,product(product(D,C),V_4))))
% Current number of equations to process: 702
% Current number of ordered equations: 1
% Current number of rules: 555
% New rule produced :
% [562]
% product(product(A,product(B,C)),product(A,product(B,product(product(D,C),V_4))))
% <-> product(A,product(B,product(product(product(C,D),C),product(C,V_4))))
% Current number of equations to process: 702
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [563]
% product(A,product(B,product(product(A,B),C))) <->
% product(product(product(product(A,B),A),product(A,B)),product(product(A,B),
% product(A,C)))
% Current number of equations to process: 701
% Current number of ordered equations: 1
% Current number of rules: 557
% New rule produced :
% [564]
% product(product(product(product(A,B),A),product(A,B)),product(product(A,B),
% product(A,C))) <->
% product(A,product(B,product(product(A,B),C)))
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [565]
% product(A,product(product(B,A),product(C,D))) <->
% product(product(product(product(A,B),A),product(A,C)),product(A,product(
% product(B,A),D)))
% Current number of equations to process: 699
% Current number of ordered equations: 3
% Current number of rules: 559
% New rule produced :
% [566]
% product(A,product(product(B,A),product(C,D))) <->
% product(product(A,product(product(B,A),C)),product(product(product(A,B),A),
% product(A,D)))
% Current number of equations to process: 699
% Current number of ordered equations: 2
% Current number of rules: 560
% New rule produced :
% [567]
% product(product(product(product(A,B),A),product(A,C)),product(A,product(
% product(B,A),D)))
% <-> product(A,product(product(B,A),product(C,D)))
% Current number of equations to process: 699
% Current number of ordered equations: 1
% Current number of rules: 561
% New rule produced :
% [568]
% product(product(A,product(product(B,A),C)),product(product(product(A,B),A),
% product(A,D))) <->
% product(A,product(product(B,A),product(C,D)))
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [569]
% product(product(product(A,B),A),product(A,product(product(B,C),D))) <->
% product(product(A,product(B,product(A,C))),product(A,product(product(B,A),D)))
% Current number of equations to process: 698
% Current number of ordered equations: 1
% Current number of rules: 563
% New rule produced :
% [570]
% product(product(A,product(B,product(A,C))),product(A,product(product(B,A),D)))
% <-> product(product(product(A,B),A),product(A,product(product(B,C),D)))
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [571]
% product(product(product(A,B),A),product(A,product(C,product(B,D)))) <->
% product(product(A,product(product(B,A),C)),product(A,product(B,product(A,D))))
% Current number of equations to process: 697
% Current number of ordered equations: 1
% Current number of rules: 565
% New rule produced :
% [572]
% product(product(A,product(product(B,A),C)),product(A,product(B,product(A,D))))
% <-> product(product(product(A,B),A),product(A,product(C,product(B,D))))
% Current number of equations to process: 697
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [573]
% product(A,product(product(B,product(A,B)),A)) <->
% product(product(product(product(A,B),A),product(A,B)),A)
% Current number of equations to process: 769
% Current number of ordered equations: 1
% Current number of rules: 567
% New rule produced :
% [574]
% product(product(product(product(A,B),A),product(A,B)),A) <->
% product(A,product(product(B,product(A,B)),A))
% Current number of equations to process: 769
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [575]
% product(A,product(A,product(product(B,A),B))) <->
% product(product(product(A,product(A,B)),A),product(A,product(A,B)))
% Current number of equations to process: 768
% Current number of ordered equations: 1
% Current number of rules: 569
% New rule produced :
% [576]
% product(product(product(A,product(A,B)),A),product(A,product(A,B))) <->
% product(A,product(A,product(product(B,A),B)))
% Current number of equations to process: 768
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [577]
% product(A,product(product(B,C),product(B,product(A,C)))) <->
% product(product(A,B),product(product(product(A,C),A),product(A,C)))
% Current number of equations to process: 767
% Current number of ordered equations: 1
% Current number of rules: 571
% New rule produced :
% [578]
% product(product(A,B),product(product(product(A,C),A),product(A,C))) <->
% product(A,product(product(B,C),product(B,product(A,C))))
% Current number of equations to process: 767
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [579]
% product(A,product(product(product(B,C),B),product(B,C))) <->
% product(product(A,B),product(product(A,C),product(A,product(B,C))))
% Current number of equations to process: 766
% Current number of ordered equations: 1
% Current number of rules: 573
% New rule produced :
% [580]
% product(product(A,B),product(product(A,C),product(A,product(B,C)))) <->
% product(A,product(product(product(B,C),B),product(B,C)))
% Current number of equations to process: 766
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [581]
% product(product(A,product(B,A)),product(A,product(product(A,B),A))) <->
% product(product(product(A,product(B,A)),A),product(A,product(B,A)))
% Current number of equations to process: 765
% Current number of ordered equations: 1
% Current number of rules: 575
% New rule produced :
% [582]
% product(product(product(A,product(B,A)),A),product(A,product(B,A))) <->
% product(product(A,product(B,A)),product(A,product(product(A,B),A)))
% Current number of equations to process: 765
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [583]
% product(A,product(B,product(product(A,B),C))) <->
% product(product(product(product(A,B),A),product(A,B)),product(A,product(B,C)))
% Current number of equations to process: 763
% Current number of ordered equations: 3
% Current number of rules: 577
% New rule produced :
% [584]
% product(A,product(B,product(C,product(A,B)))) <->
% product(product(A,product(B,C)),product(product(product(A,B),A),product(A,B)))
% Current number of equations to process: 763
% Current number of ordered equations: 2
% Current number of rules: 578
% New rule produced :
% [585]
% product(product(A,product(B,C)),product(product(product(A,B),A),product(A,B)))
% <-> product(A,product(B,product(C,product(A,B))))
% Current number of equations to process: 763
% Current number of ordered equations: 1
% Current number of rules: 579
% New rule produced :
% [586]
% product(product(product(product(A,B),A),product(A,B)),product(A,product(B,C)))
% <-> product(A,product(B,product(product(A,B),C)))
% Current number of equations to process: 763
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [587]
% product(product(A,B),product(product(product(C,A),C),product(C,A))) <->
% product(product(product(A,B),C),product(A,product(B,product(C,A))))
% Current number of equations to process: 762
% Current number of ordered equations: 1
% Current number of rules: 581
% New rule produced :
% [588]
% product(product(product(A,B),C),product(A,product(B,product(C,A)))) <->
% product(product(A,B),product(product(product(C,A),C),product(C,A)))
% Current number of equations to process: 762
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [589]
% product(A,product(product(product(product(B,C),B),product(B,C)),B)) <->
% product(product(A,B),product(A,product(product(C,product(B,C)),B)))
% Current number of equations to process: 761
% Current number of ordered equations: 1
% Current number of rules: 583
% New rule produced :
% [590]
% product(product(A,B),product(A,product(product(C,product(B,C)),B))) <->
% product(A,product(product(product(product(B,C),B),product(B,C)),B))
% Current number of equations to process: 761
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [591]
% product(product(product(A,B),A),product(A,product(A,product(B,A)))) <->
% product(product(product(A,product(B,A)),A),product(A,product(B,A)))
% Current number of equations to process: 760
% Current number of ordered equations: 1
% Current number of rules: 585
% New rule produced :
% [592]
% product(product(product(A,product(B,A)),A),product(A,product(B,A))) <->
% product(product(product(A,B),A),product(A,product(A,product(B,A))))
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [593]
% product(product(A,product(B,A)),product(product(product(B,A),B),product(B,A)))
% <-> product(product(product(A,product(B,A)),B),product(A,product(B,A)))
% Current number of equations to process: 759
% Current number of ordered equations: 1
% Current number of rules: 587
% New rule produced :
% [594]
% product(product(product(A,product(B,A)),B),product(A,product(B,A))) <->
% product(product(A,product(B,A)),product(product(product(B,A),B),product(B,A)))
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [595]
% product(A,product(product(product(product(B,C),B),product(B,C)),product(B,D)))
% <-> product(product(A,B),product(A,product(product(C,product(B,C)),D)))
% Current number of equations to process: 757
% Current number of ordered equations: 3
% Current number of rules: 589
% New rule produced :
% [596]
% product(A,product(product(B,C),product(product(product(B,D),B),product(B,D))))
% <-> product(product(A,B),product(A,product(C,product(D,product(B,D)))))
% Current number of equations to process: 757
% Current number of ordered equations: 2
% Current number of rules: 590
% New rule produced :
% [597]
% product(product(A,B),product(A,product(product(C,product(B,C)),D))) <->
% product(A,product(product(product(product(B,C),B),product(B,C)),product(B,D)))
% Current number of equations to process: 757
% Current number of ordered equations: 1
% Current number of rules: 591
% New rule produced :
% [598]
% product(product(A,B),product(A,product(C,product(D,product(B,D))))) <->
% product(A,product(product(B,C),product(product(product(B,D),B),product(B,D))))
% Current number of equations to process: 757
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [599]
% product(A,product(product(B,C),product(B,product(D,product(C,D))))) <->
% product(product(A,B),product(A,product(product(product(C,D),C),product(C,D))))
% Current number of equations to process: 756
% Current number of ordered equations: 1
% Current number of rules: 593
% New rule produced :
% [600]
% product(product(A,B),product(A,product(product(product(C,D),C),product(C,D))))
% <-> product(A,product(product(B,C),product(B,product(D,product(C,D)))))
% Current number of equations to process: 756
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced :
% [601]
% product(A,product(product(product(product(B,C),B),product(B,C)),D)) <->
% product(product(product(A,B),product(A,product(C,product(B,C)))),product(A,D))
% Current number of equations to process: 754
% Current number of ordered equations: 3
% Current number of rules: 595
% New rule produced :
% [602]
% product(product(product(A,B),product(A,C)),product(A,product(A,product(B,C))))
% <-> product(product(product(A,product(B,C)),A),product(A,product(B,C)))
% Current number of equations to process: 754
% Current number of ordered equations: 2
% Current number of rules: 596
% New rule produced :
% [603]
% product(product(product(A,product(B,C)),A),product(A,product(B,C))) <->
% product(product(product(A,B),product(A,C)),product(A,product(A,product(B,C))))
% Current number of equations to process: 754
% Current number of ordered equations: 1
% Current number of rules: 597
% New rule produced :
% [604]
% product(product(product(A,B),product(A,product(C,product(B,C)))),product(A,D))
% <-> product(A,product(product(product(product(B,C),B),product(B,C)),D))
% Current number of equations to process: 754
% Current number of ordered equations: 0
% Current number of rules: 598
% New rule produced :
% [605]
% product(A,product(B,product(product(product(C,D),C),product(C,D)))) <->
% product(product(A,B),product(product(A,C),product(A,product(D,product(C,D)))))
% Current number of equations to process: 753
% Current number of ordered equations: 1
% Current number of rules: 599
% New rule produced :
% [606]
% product(product(A,B),product(product(A,C),product(A,product(D,product(C,D)))))
% <-> product(A,product(B,product(product(product(C,D),C),product(C,D))))
% Current number of equations to process: 753
% Current number of ordered equations: 0
% Current number of rules: 600
% New rule produced :
% [607]
% product(A,product(B,product(product(product(C,D),C),product(C,D)))) <->
% product(product(A,product(B,C)),product(A,product(B,product(D,product(C,D)))))
% Current number of equations to process: 752
% Current number of ordered equations: 1
% Current number of rules: 601
% New rule produced :
% [608]
% product(product(A,product(B,C)),product(A,product(B,product(D,product(C,D)))))
% <-> product(A,product(B,product(product(product(C,D),C),product(C,D))))
% Current number of equations to process: 752
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [609]
% product(product(A,product(product(A,B),B)),product(A,product(A,B))) <->
% product(product(A,product(A,B)),product(product(product(A,B),A),product(A,B)))
% Current number of equations to process: 751
% Current number of ordered equations: 1
% Current number of rules: 603
% New rule produced :
% [610]
% product(product(A,product(A,B)),product(product(product(A,B),A),product(A,B)))
% <-> product(product(A,product(product(A,B),B)),product(A,product(A,B)))
% Current number of equations to process: 751
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [611]
% product(product(A,B),product(C,product(product(D,A),product(D,B)))) <->
% product(product(product(A,B),C),product(product(product(A,B),D),product(A,B)))
% Current number of equations to process: 750
% Current number of ordered equations: 1
% Current number of rules: 605
% New rule produced :
% [612]
% product(product(product(A,B),C),product(product(product(A,B),D),product(A,B)))
% <-> product(product(A,B),product(C,product(product(D,A),product(D,B))))
% Current number of equations to process: 750
% Current number of ordered equations: 0
% Current number of rules: 606
% New rule produced :
% [613]
% product(A,product(B,product(A,product(C,A)))) <->
% product(product(A,B),product(product(A,product(A,C)),A))
% Current number of equations to process: 835
% Current number of ordered equations: 3
% Current number of rules: 607
% New rule produced :
% [614]
% product(A,product(product(B,product(C,A)),A)) <->
% product(product(product(A,B),product(product(A,C),A)),A)
% Current number of equations to process: 835
% Current number of ordered equations: 2
% Current number of rules: 608
% New rule produced :
% [615]
% product(product(A,B),product(product(A,product(A,C)),A)) <->
% product(A,product(B,product(A,product(C,A))))
% Current number of equations to process: 835
% Current number of ordered equations: 1
% Current number of rules: 609
% New rule produced :
% [616]
% product(product(product(A,B),product(product(A,C),A)),A) <->
% product(A,product(product(B,product(C,A)),A))
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [617]
% product(A,product(product(product(B,C),B),product(B,A))) <->
% product(product(A,B),product(product(A,product(C,B)),A))
% Current number of equations to process: 834
% Current number of ordered equations: 1
% Current number of rules: 611
% New rule produced :
% [618]
% product(product(A,B),product(product(A,product(C,B)),A)) <->
% product(A,product(product(product(B,C),B),product(B,A)))
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [619]
% product(A,product(B,product(product(C,D),A))) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),A))
% Current number of equations to process: 833
% Current number of ordered equations: 1
% Current number of rules: 613
% New rule produced :
% [620]
% product(product(A,B),product(product(product(A,C),product(A,D)),A)) <->
% product(A,product(B,product(product(C,D),A)))
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [621]
% product(A,product(product(B,C),product(B,product(D,A)))) <->
% product(product(A,B),product(product(A,C),product(product(A,D),A)))
% Current number of equations to process: 832
% Current number of ordered equations: 1
% Current number of rules: 615
% New rule produced :
% [622]
% product(product(A,B),product(product(A,C),product(product(A,D),A))) <->
% product(A,product(product(B,C),product(B,product(D,A))))
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [623]
% product(A,product(product(product(B,C),product(B,D)),product(B,A))) <->
% product(product(A,B),product(product(A,product(C,D)),A))
% Current number of equations to process: 831
% Current number of ordered equations: 1
% Current number of rules: 617
% New rule produced :
% [624]
% product(product(A,B),product(product(A,product(C,D)),A)) <->
% product(A,product(product(product(B,C),product(B,D)),product(B,A)))
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 618
% New rule produced :
% [625]
% product(A,product(product(B,C),product(product(B,D),B))) <->
% product(product(A,B),product(product(A,C),product(A,product(D,B))))
% Current number of equations to process: 830
% Current number of ordered equations: 1
% Current number of rules: 619
% New rule produced :
% [626]
% product(product(A,B),product(product(A,C),product(A,product(D,B)))) <->
% product(A,product(product(B,C),product(product(B,D),B)))
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [627]
% product(product(A,B),product(product(A,product(A,C)),A)) <->
% product(product(A,product(B,A)),product(A,product(B,product(C,A))))
% Current number of equations to process: 829
% Current number of ordered equations: 1
% Current number of rules: 621
% New rule produced :
% [628]
% product(product(A,product(B,A)),product(A,product(B,product(C,A)))) <->
% product(product(A,B),product(product(A,product(A,C)),A))
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [629]
% product(product(A,product(B,A)),product(A,product(C,product(B,A)))) <->
% product(product(A,product(product(B,A),C)),product(product(A,B),A))
% Current number of equations to process: 828
% Current number of ordered equations: 1
% Current number of rules: 623
% New rule produced :
% [630]
% product(product(A,product(product(B,A),C)),product(product(A,B),A)) <->
% product(product(A,product(B,A)),product(A,product(C,product(B,A))))
% Current number of equations to process: 828
% Current number of ordered equations: 0
% Current number of rules: 624
% New rule produced :
% [631]
% product(A,product(B,product(product(C,D),A))) <->
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),A))
% Current number of equations to process: 827
% Current number of ordered equations: 1
% Current number of rules: 625
% New rule produced :
% [632]
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),A))
% <-> product(A,product(B,product(product(C,D),A)))
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 626
% New rule produced :
% [633]
% product(A,product(B,product(product(C,A),D))) <->
% product(product(product(A,B),product(product(A,C),A)),product(A,product(B,D)))
% Current number of equations to process: 825
% Current number of ordered equations: 3
% Current number of rules: 627
% New rule produced :
% [634]
% product(A,product(B,product(C,product(D,A)))) <->
% product(product(A,product(B,C)),product(product(A,B),product(product(A,D),A)))
% Current number of equations to process: 825
% Current number of ordered equations: 2
% Current number of rules: 628
% New rule produced :
% [635]
% product(product(A,product(B,C)),product(product(A,B),product(product(A,D),A)))
% <-> product(A,product(B,product(C,product(D,A))))
% Current number of equations to process: 825
% Current number of ordered equations: 1
% Current number of rules: 629
% New rule produced :
% [636]
% product(product(product(A,B),product(product(A,C),A)),product(A,product(B,D)))
% <-> product(A,product(B,product(product(C,A),D)))
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 630
% New rule produced :
% [637]
% product(A,product(product(B,product(C,D)),product(product(B,C),A))) <->
% product(product(A,product(B,C)),product(product(A,product(B,D)),A))
% Current number of equations to process: 824
% Current number of ordered equations: 1
% Current number of rules: 631
% New rule produced :
% [638]
% product(product(A,product(B,C)),product(product(A,product(B,D)),A)) <->
% product(A,product(product(B,product(C,D)),product(product(B,C),A)))
% Current number of equations to process: 824
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [639]
% product(product(A,B),product(product(C,A),product(product(C,D),C))) <->
% product(product(product(A,B),C),product(A,product(B,product(D,C))))
% Current number of equations to process: 823
% Current number of ordered equations: 1
% Current number of rules: 633
% New rule produced :
% [640]
% product(product(product(A,B),C),product(A,product(B,product(D,C)))) <->
% product(product(A,B),product(product(C,A),product(product(C,D),C)))
% Current number of equations to process: 823
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [641]
% product(A,product(product(product(B,C),product(product(B,D),B)),B)) <->
% product(product(A,B),product(A,product(product(C,product(D,B)),B)))
% Current number of equations to process: 821
% Current number of ordered equations: 1
% Current number of rules: 635
% New rule produced :
% [642]
% product(product(A,B),product(A,product(product(C,product(D,B)),B))) <->
% product(A,product(product(product(B,C),product(product(B,D),B)),B))
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 636
% New rule produced :
% [643]
% product(product(A,B),product(C,product(product(B,A),B))) <->
% product(product(product(A,B),C),product(product(product(A,B),B),product(A,B)))
% Current number of equations to process: 820
% Current number of ordered equations: 1
% Current number of rules: 637
% New rule produced :
% [644]
% product(product(product(A,B),C),product(product(product(A,B),B),product(A,B)))
% <-> product(product(A,B),product(C,product(product(B,A),B)))
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [645]
% product(A,product(product(B,C),product(product(B,D),A))) <->
% product(product(A,product(B,product(C,D))),product(product(A,product(B,C)),A))
% Current number of equations to process: 819
% Current number of ordered equations: 1
% Current number of rules: 639
% New rule produced :
% [646]
% product(product(A,product(B,product(C,D))),product(product(A,product(B,C)),A))
% <-> product(A,product(product(B,C),product(product(B,D),A)))
% Current number of equations to process: 819
% Current number of ordered equations: 0
% Current number of rules: 640
% New rule produced :
% [647]
% product(product(A,product(B,C)),product(product(C,A),product(product(C,B),C)))
% <-> product(product(product(A,product(B,C)),C),product(A,product(B,C)))
% Current number of equations to process: 818
% Current number of ordered equations: 1
% Current number of rules: 641
% New rule produced :
% [648]
% product(product(product(A,product(B,C)),C),product(A,product(B,C))) <->
% product(product(A,product(B,C)),product(product(C,A),product(product(C,B),C)))
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 642
% New rule produced :
% [649]
% product(A,product(product(product(B,C),product(product(B,D),B)),product(B,V_4)))
% <-> product(product(A,B),product(A,product(product(C,product(D,B)),V_4)))
% Current number of equations to process: 816
% Current number of ordered equations: 3
% Current number of rules: 643
% New rule produced :
% [650]
% product(A,product(product(B,C),product(product(B,D),product(product(B,V_4),B))))
% <-> product(product(A,B),product(A,product(C,product(D,product(V_4,B)))))
% Current number of equations to process: 816
% Current number of ordered equations: 2
% Current number of rules: 644
% New rule produced :
% [651]
% product(product(A,B),product(A,product(product(C,product(D,B)),V_4))) <->
% product(A,product(product(product(B,C),product(product(B,D),B)),product(B,V_4)))
% Current number of equations to process: 816
% Current number of ordered equations: 1
% Current number of rules: 645
% New rule produced :
% [652]
% product(product(A,B),product(A,product(C,product(D,product(V_4,B))))) <->
% product(A,product(product(B,C),product(product(B,D),product(product(B,V_4),B))))
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 646
% New rule produced :
% [653]
% product(A,product(product(B,C),product(B,product(D,product(V_4,C))))) <->
% product(product(A,B),product(A,product(product(C,D),product(product(C,V_4),C))))
% Current number of equations to process: 815
% Current number of ordered equations: 1
% Current number of rules: 647
% New rule produced :
% [654]
% product(product(A,B),product(A,product(product(C,D),product(product(C,V_4),C))))
% <-> product(A,product(product(B,C),product(B,product(D,product(V_4,C)))))
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 648
% New rule produced :
% [655]
% product(A,product(product(product(B,C),product(product(B,D),B)),V_4)) <->
% product(product(product(A,B),product(A,product(C,product(D,B)))),product(A,V_4))
% Current number of equations to process: 814
% Current number of ordered equations: 1
% Current number of rules: 649
% New rule produced :
% [656]
% product(product(product(A,B),product(A,product(C,product(D,B)))),product(A,V_4))
% <-> product(A,product(product(product(B,C),product(product(B,D),B)),V_4))
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 650
% New rule produced :
% [657]
% product(A,product(B,product(product(C,D),product(product(C,V_4),C)))) <->
% product(product(A,B),product(product(A,C),product(A,product(D,product(V_4,C)))))
% Current number of equations to process: 813
% Current number of ordered equations: 1
% Current number of rules: 651
% New rule produced :
% [658]
% product(product(A,B),product(product(A,C),product(A,product(D,product(V_4,C)))))
% <-> product(A,product(B,product(product(C,D),product(product(C,V_4),C))))
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 652
% New rule produced :
% [659]
% product(A,product(B,product(product(C,D),product(product(C,V_4),C)))) <->
% product(product(A,product(B,C)),product(A,product(B,product(D,product(V_4,C)))))
% Current number of equations to process: 812
% Current number of ordered equations: 1
% Current number of rules: 653
% New rule produced :
% [660]
% product(product(A,product(B,C)),product(A,product(B,product(D,product(V_4,C)))))
% <-> product(A,product(B,product(product(C,D),product(product(C,V_4),C))))
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 654
% New rule produced :
% [661]
% product(A,product(B,product(C,product(A,B)))) <->
% product(product(product(A,B),product(A,C)),product(product(product(A,B),A),
% product(A,B)))
% Current number of equations to process: 811
% Current number of ordered equations: 1
% Current number of rules: 655
% New rule produced :
% [662]
% product(product(product(A,B),product(A,C)),product(product(product(A,B),A),
% product(A,B))) <->
% product(A,product(B,product(C,product(A,B))))
% Current number of equations to process: 811
% Current number of ordered equations: 0
% Current number of rules: 656
% New rule produced :
% [663]
% product(product(A,product(B,A)),product(product(A,C),product(product(A,B),A)))
% <-> product(product(A,product(product(B,A),C)),product(A,product(B,A)))
% Current number of equations to process: 810
% Current number of ordered equations: 1
% Current number of rules: 657
% New rule produced :
% [664]
% product(product(A,product(product(B,A),C)),product(A,product(B,A))) <->
% product(product(A,product(B,A)),product(product(A,C),product(product(A,B),A)))
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 658
% New rule produced :
% [665]
% product(product(A,B),product(C,product(product(A,D),product(A,B)))) <->
% product(product(product(A,B),C),product(product(A,product(B,D)),product(A,B)))
% Current number of equations to process: 809
% Current number of ordered equations: 1
% Current number of rules: 659
% New rule produced :
% [666]
% product(product(product(A,B),C),product(product(A,product(B,D)),product(A,B)))
% <-> product(product(A,B),product(C,product(product(A,D),product(A,B))))
% Current number of equations to process: 809
% Current number of ordered equations: 0
% Current number of rules: 660
% New rule produced :
% [667]
% product(A,product(B,product(product(C,A),A))) <->
% product(product(A,B),product(product(product(A,C),A),A))
% Current number of equations to process: 903
% Current number of ordered equations: 1
% Current number of rules: 661
% New rule produced :
% [668]
% product(product(A,B),product(product(product(A,C),A),A)) <->
% product(A,product(B,product(product(C,A),A)))
% Current number of equations to process: 903
% Current number of ordered equations: 0
% Current number of rules: 662
% New rule produced :
% [669]
% product(A,product(B,product(A,product(C,B)))) <->
% product(product(product(A,B),A),product(A,product(product(B,C),B)))
% Current number of equations to process: 902
% Current number of ordered equations: 1
% Current number of rules: 663
% New rule produced :
% [670]
% product(product(product(A,B),A),product(A,product(product(B,C),B))) <->
% product(A,product(B,product(A,product(C,B))))
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 664
% New rule produced :
% [671]
% product(A,product(A,product(B,product(C,A)))) <->
% product(product(A,product(A,B)),product(product(A,product(A,C)),A))
% Current number of equations to process: 901
% Current number of ordered equations: 1
% Current number of rules: 665
% New rule produced :
% [672]
% product(product(A,product(A,B)),product(product(A,product(A,C)),A)) <->
% product(A,product(A,product(B,product(C,A))))
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 666
% New rule produced :
% [673]
% product(A,product(B,product(C,product(B,C)))) <->
% product(product(A,product(product(B,C),B)),product(A,product(B,C)))
% Current number of equations to process: 900
% Current number of ordered equations: 1
% Current number of rules: 667
% New rule produced :
% [674]
% product(product(A,product(product(B,C),B)),product(A,product(B,C))) <->
% product(A,product(B,product(C,product(B,C))))
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 668
% New rule produced :
% [675]
% product(product(A,B),product(product(product(A,C),A),product(A,B))) <->
% product(product(A,product(B,product(C,A))),product(A,B))
% Current number of equations to process: 899
% Current number of ordered equations: 1
% Current number of rules: 669
% New rule produced :
% [676]
% product(product(A,product(B,product(C,A))),product(A,B)) <->
% product(product(A,B),product(product(product(A,C),A),product(A,B)))
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 670
% New rule produced :
% [677]
% product(product(A,B),product(product(A,product(A,C)),A)) <->
% product(product(product(A,B),A),product(A,product(B,product(C,A))))
% Current number of equations to process: 898
% Current number of ordered equations: 1
% Current number of rules: 671
% New rule produced :
% [678]
% product(product(product(A,B),A),product(A,product(B,product(C,A)))) <->
% product(product(A,B),product(product(A,product(A,C)),A))
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 672
% New rule produced :
% [679]
% product(product(A,product(B,product(A,B))),product(product(product(A,B),A),C))
% -> product(product(A,B),product(A,C))
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 673
% New rule produced :
% [680]
% product(product(A,B),product(product(C,product(A,D)),product(C,A))) <->
% product(product(product(A,B),C),product(A,product(B,product(D,A))))
% Current number of equations to process: 896
% Current number of ordered equations: 1
% Current number of rules: 674
% New rule produced :
% [681]
% product(product(product(A,B),C),product(A,product(B,product(D,A)))) <->
% product(product(A,B),product(product(C,product(A,D)),product(C,A)))
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 675
% New rule produced :
% [682]
% product(A,product(B,product(C,product(D,B)))) <->
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),B)))
% Current number of equations to process: 895
% Current number of ordered equations: 1
% Current number of rules: 676
% New rule produced :
% [683]
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),B)))
% <-> product(A,product(B,product(C,product(D,B))))
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 677
% New rule produced :
% [684]
% product(A,product(B,product(C,product(D,B)))) <->
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,B)))
% Current number of equations to process: 894
% Current number of ordered equations: 1
% Current number of rules: 678
% New rule produced :
% [685]
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,B)))
% <-> product(A,product(B,product(C,product(D,B))))
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 679
% New rule produced :
% [686]
% product(product(A,B),product(C,product(product(A,D),product(A,B)))) <->
% product(product(product(A,B),C),product(A,product(product(B,D),B)))
% Current number of equations to process: 893
% Current number of ordered equations: 1
% Current number of rules: 680
% New rule produced :
% [687]
% product(product(product(A,B),C),product(A,product(product(B,D),B))) <->
% product(product(A,B),product(C,product(product(A,D),product(A,B))))
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 681
% New rule produced :
% [688]
% product(product(A,B),product(product(A,C),product(product(A,D),A))) <->
% product(product(A,product(B,C)),product(A,product(B,product(D,A))))
% Current number of equations to process: 892
% Current number of ordered equations: 1
% Current number of rules: 682
% New rule produced :
% [689]
% product(product(A,product(B,C)),product(A,product(B,product(D,A)))) <->
% product(product(A,B),product(product(A,C),product(product(A,D),A)))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 683
% New rule produced :
% [690]
% product(product(A,B),product(product(product(A,C),A),product(A,D))) <->
% product(product(A,product(B,product(C,A))),product(A,product(B,D)))
% Current number of equations to process: 891
% Current number of ordered equations: 1
% Current number of rules: 684
% New rule produced :
% [691]
% product(product(A,product(B,product(C,A))),product(A,product(B,D))) <->
% product(product(A,B),product(product(product(A,C),A),product(A,D)))
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 685
% New rule produced :
% [692]
% product(product(A,B),product(C,product(A,product(A,B)))) <->
% product(product(product(A,B),C),product(product(A,product(B,A)),product(A,B)))
% Current number of equations to process: 889
% Current number of ordered equations: 2
% Current number of rules: 686
% New rule produced :
% [693]
% product(product(product(A,B),C),product(product(A,product(B,A)),product(A,B)))
% <-> product(product(A,B),product(C,product(A,product(A,B))))
% Current number of equations to process: 889
% Current number of ordered equations: 1
% Current number of rules: 687
% New rule produced :
% [694]
% product(product(A,product(B,A)),product(product(product(A,B),C),product(A,B)))
% -> product(product(A,B),product(A,product(C,product(A,B))))
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 688
% New rule produced :
% [695]
% product(product(A,B),product(A,product(C,product(D,A)))) <->
% product(product(A,product(B,C)),product(product(A,B),product(product(A,D),A)))
% Current number of equations to process: 888
% Current number of ordered equations: 1
% Current number of rules: 689
% New rule produced :
% [696]
% product(product(A,product(B,C)),product(product(A,B),product(product(A,D),A)))
% <-> product(product(A,B),product(A,product(C,product(D,A))))
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 690
% New rule produced :
% [697]
% product(A,product(product(product(B,C),B),product(D,A))) <->
% product(product(product(A,B),product(A,product(C,B))),product(product(A,D),A))
% Current number of equations to process: 886
% Current number of ordered equations: 3
% Current number of rules: 691
% New rule produced :
% [698]
% product(A,product(B,product(product(product(C,D),C),A))) <->
% product(product(A,B),product(product(product(A,C),product(A,product(D,C))),A))
% Current number of equations to process: 886
% Current number of ordered equations: 2
% Current number of rules: 692
% New rule produced :
% [699]
% product(product(A,B),product(product(product(A,C),product(A,product(D,C))),A))
% <-> product(A,product(B,product(product(product(C,D),C),A)))
% Current number of equations to process: 886
% Current number of ordered equations: 1
% Current number of rules: 693
% New rule produced :
% [700]
% product(product(product(A,B),product(A,product(C,B))),product(product(A,D),A))
% <-> product(A,product(product(product(B,C),B),product(D,A)))
% Current number of equations to process: 886
% Current number of ordered equations: 0
% Current number of rules: 694
% New rule produced :
% [701]
% product(A,product(B,product(product(product(C,A),D),A))) <->
% product(product(A,B),product(product(product(product(A,C),A),product(A,D)),A))
% Current number of equations to process: 885
% Current number of ordered equations: 1
% Current number of rules: 695
% New rule produced :
% [702]
% product(product(A,B),product(product(product(product(A,C),A),product(A,D)),A))
% <-> product(A,product(B,product(product(product(C,A),D),A)))
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 696
% New rule produced :
% [703]
% product(A,product(B,product(product(C,product(A,C)),A))) <->
% product(product(A,B),product(product(product(product(A,C),A),product(A,C)),A))
% Current number of equations to process: 884
% Current number of ordered equations: 1
% Current number of rules: 697
% New rule produced :
% [704]
% product(product(A,B),product(product(product(product(A,C),A),product(A,C)),A))
% <-> product(A,product(B,product(product(C,product(A,C)),A)))
% Current number of equations to process: 884
% Current number of ordered equations: 0
% Current number of rules: 698
% New rule produced :
% [705]
% product(A,product(B,product(product(C,product(D,A)),A))) <->
% product(product(A,B),product(product(product(A,C),product(product(A,D),A)),A))
% Current number of equations to process: 883
% Current number of ordered equations: 1
% Current number of rules: 699
% New rule produced :
% [706]
% product(product(A,B),product(product(product(A,C),product(product(A,D),A)),A))
% <-> product(A,product(B,product(product(C,product(D,A)),A)))
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 700
% New rule produced :
% [707]
% product(A,product(product(B,C),product(A,product(B,C)))) <->
% product(product(product(A,product(B,C)),A),product(product(A,B),product(A,C)))
% Current number of equations to process: 881
% Current number of ordered equations: 3
% Current number of rules: 701
% New rule produced :
% [708]
% product(A,product(product(B,C),product(A,product(B,C)))) <->
% product(product(product(product(A,B),product(A,C)),A),product(A,product(B,C)))
% Current number of equations to process: 881
% Current number of ordered equations: 2
% Current number of rules: 702
% New rule produced :
% [709]
% product(product(product(A,product(B,C)),A),product(product(A,B),product(A,C)))
% <-> product(A,product(product(B,C),product(A,product(B,C))))
% Current number of equations to process: 881
% Current number of ordered equations: 1
% Current number of rules: 703
% New rule produced :
% [710]
% product(product(product(product(A,B),product(A,C)),A),product(A,product(B,C)))
% <-> product(A,product(product(B,C),product(A,product(B,C))))
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 704
% New rule produced :
% [711]
% product(product(product(product(A,B),A),C),product(A,product(B,product(A,B))))
% -> product(product(product(A,B),A),product(C,product(A,B)))
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 705
% New rule produced :
% [712]
% product(product(product(A,B),A),product(A,product(C,product(B,A)))) <->
% product(product(product(product(A,B),A),product(A,C)),product(product(A,B),A))
% Current number of equations to process: 879
% Current number of ordered equations: 1
% Current number of rules: 706
% New rule produced :
% [713]
% product(product(product(product(A,B),A),product(A,C)),product(product(A,B),A))
% <-> product(product(product(A,B),A),product(A,product(C,product(B,A))))
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 707
% New rule produced :
% [714]
% product(A,product(product(product(B,C),product(B,D)),product(V_4,A))) <->
% product(product(product(A,B),product(A,product(C,D))),product(product(A,V_4),A))
% Current number of equations to process: 877
% Current number of ordered equations: 3
% Current number of rules: 708
% New rule produced :
% [715]
% product(A,product(B,product(product(product(C,D),product(C,V_4)),A))) <->
% product(product(A,B),product(product(product(A,C),product(A,product(D,V_4))),A))
% Current number of equations to process: 877
% Current number of ordered equations: 2
% Current number of rules: 709
% New rule produced :
% [716]
% product(product(A,B),product(product(product(A,C),product(A,product(D,V_4))),A))
% <-> product(A,product(B,product(product(product(C,D),product(C,V_4)),A)))
% Current number of equations to process: 877
% Current number of ordered equations: 1
% Current number of rules: 710
% New rule produced :
% [717]
% product(product(product(A,B),product(A,product(C,D))),product(product(A,V_4),A))
% <-> product(A,product(product(product(B,C),product(B,D)),product(V_4,A)))
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 711
% New rule produced :
% [718]
% product(A,product(product(B,product(C,D)),product(B,product(product(C,V_4),C))))
% <-> product(product(A,B),product(A,product(C,product(D,product(V_4,C)))))
% Current number of equations to process: 876
% Current number of ordered equations: 1
% Current number of rules: 712
% New rule produced :
% [719]
% product(product(A,B),product(A,product(C,product(D,product(V_4,C))))) <->
% product(A,product(product(B,product(C,D)),product(B,product(product(C,V_4),C))))
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 713
% New rule produced :
% [720]
% product(A,product(B,product(A,product(B,A)))) <->
% product(product(A,product(product(B,A),B)),product(product(A,B),A))
% Current number of equations to process: 952
% Current number of ordered equations: 1
% Current number of rules: 714
% New rule produced :
% [721]
% product(product(A,product(product(B,A),B)),product(product(A,B),A)) <->
% product(A,product(B,product(A,product(B,A))))
% Current number of equations to process: 952
% Current number of ordered equations: 0
% Current number of rules: 715
% New rule produced :
% [722]
% product(A,product(product(product(B,C),A),D)) <->
% product(product(product(product(A,B),product(A,C)),A),product(A,D))
% Current number of equations to process: 951
% Current number of ordered equations: 1
% Current number of rules: 716
% New rule produced :
% [723]
% product(product(product(product(A,B),product(A,C)),A),product(A,D)) <->
% product(A,product(product(product(B,C),A),D))
% Current number of equations to process: 951
% Current number of ordered equations: 0
% Current number of rules: 717
% New rule produced :
% [724]
% product(product(A,B),product(A,product(B,product(A,B)))) <->
% product(product(product(A,B),product(product(A,B),A)),product(A,B))
% Current number of equations to process: 950
% Current number of ordered equations: 1
% Current number of rules: 718
% New rule produced :
% [725]
% product(product(product(A,B),product(product(A,B),A)),product(A,B)) <->
% product(product(A,B),product(A,product(B,product(A,B))))
% Current number of equations to process: 950
% Current number of ordered equations: 0
% Current number of rules: 719
% New rule produced :
% [726]
% product(product(A,B),product(A,product(A,product(B,A)))) <->
% product(product(A,product(B,product(A,B))),product(product(A,B),A))
% Current number of equations to process: 949
% Current number of ordered equations: 1
% Current number of rules: 720
% New rule produced :
% [727]
% product(product(A,product(B,product(A,B))),product(product(A,B),A)) <->
% product(product(A,B),product(A,product(A,product(B,A))))
% Current number of equations to process: 949
% Current number of ordered equations: 0
% Current number of rules: 721
% New rule produced :
% [728]
% product(product(A,product(B,A)),product(A,product(A,product(B,A)))) <->
% product(product(product(A,product(B,A)),A),product(product(A,B),A))
% Current number of equations to process: 947
% Current number of ordered equations: 3
% Current number of rules: 722
% New rule produced :
% [729]
% product(product(A,product(B,A)),product(A,product(A,product(B,A)))) <->
% product(product(product(product(A,B),A),A),product(A,product(B,A)))
% Current number of equations to process: 947
% Current number of ordered equations: 2
% Current number of rules: 723
% New rule produced :
% [730]
% product(product(product(A,product(B,A)),A),product(product(A,B),A)) <->
% product(product(A,product(B,A)),product(A,product(A,product(B,A))))
% Current number of equations to process: 947
% Current number of ordered equations: 1
% Current number of rules: 724
% New rule produced :
% [731]
% product(product(product(product(A,B),A),A),product(A,product(B,A))) <->
% product(product(A,product(B,A)),product(A,product(A,product(B,A))))
% Current number of equations to process: 947
% Current number of ordered equations: 0
% Current number of rules: 725
% New rule produced :
% [732]
% product(A,product(B,product(C,product(B,C)))) <->
% product(product(product(A,product(B,C)),product(A,B)),product(A,product(B,C)))
% Current number of equations to process: 946
% Current number of ordered equations: 1
% Current number of rules: 726
% New rule produced :
% [733]
% product(product(product(A,product(B,C)),product(A,B)),product(A,product(B,C)))
% <-> product(A,product(B,product(C,product(B,C))))
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 727
% New rule produced :
% [734]
% product(A,product(B,product(C,product(B,C)))) <->
% product(product(A,product(product(B,C),B)),product(product(A,B),product(A,C)))
% Current number of equations to process: 945
% Current number of ordered equations: 1
% Current number of rules: 728
% New rule produced :
% [735]
% product(product(A,product(product(B,C),B)),product(product(A,B),product(A,C)))
% <-> product(A,product(B,product(C,product(B,C))))
% Current number of equations to process: 945
% Current number of ordered equations: 0
% Current number of rules: 729
% New rule produced :
% [736]
% product(product(product(A,product(B,A)),product(A,B)),product(product(A,B),A))
% -> product(product(A,B),product(A,product(product(A,B),A)))
% Current number of equations to process: 944
% Current number of ordered equations: 0
% Current number of rules: 730
% New rule produced :
% [737]
% product(product(A,B),product(A,product(C,product(A,C)))) <->
% product(product(product(A,B),product(product(A,C),A)),product(A,product(B,C)))
% Current number of equations to process: 943
% Current number of ordered equations: 1
% Current number of rules: 731
% New rule produced :
% [738]
% product(product(product(A,B),product(product(A,C),A)),product(A,product(B,C)))
% <-> product(product(A,B),product(A,product(C,product(A,C))))
% Current number of equations to process: 943
% Current number of ordered equations: 0
% Current number of rules: 732
% New rule produced :
% [739]
% product(product(product(A,B),A),product(product(A,C),D)) <->
% product(product(A,product(product(B,A),C)),product(product(product(A,B),A),D))
% Current number of equations to process: 941
% Current number of ordered equations: 3
% Current number of rules: 733
% New rule produced :
% [740]
% product(product(product(A,B),A),product(C,product(A,D))) <->
% product(product(product(product(A,B),A),C),product(A,product(product(B,A),D)))
% Current number of equations to process: 941
% Current number of ordered equations: 2
% Current number of rules: 734
% New rule produced :
% [741]
% product(product(product(product(A,B),A),C),product(A,product(product(B,A),D)))
% <-> product(product(product(A,B),A),product(C,product(A,D)))
% Current number of equations to process: 941
% Current number of ordered equations: 1
% Current number of rules: 735
% New rule produced :
% [742]
% product(product(A,product(product(B,A),C)),product(product(product(A,B),A),D))
% <-> product(product(product(A,B),A),product(product(A,C),D))
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 736
% New rule produced :
% [743]
% product(A,product(product(B,product(product(C,D),C)),product(B,product(C,D))))
% <-> product(product(A,B),product(A,product(C,product(D,product(C,D)))))
% Current number of equations to process: 940
% Current number of ordered equations: 1
% Current number of rules: 737
% New rule produced :
% [744]
% product(product(A,B),product(A,product(C,product(D,product(C,D))))) <->
% product(A,product(product(B,product(product(C,D),C)),product(B,product(C,D))))
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 738
% New rule produced :
% [745]
% product(product(A,B),product(product(product(A,C),product(A,B)),D)) <->
% product(product(product(A,product(B,C)),product(A,B)),product(product(A,B),D))
% Current number of equations to process: 939
% Current number of ordered equations: 1
% Current number of rules: 739
% New rule produced :
% [746]
% product(product(product(A,product(B,C)),product(A,B)),product(product(A,B),D))
% <-> product(product(A,B),product(product(product(A,C),product(A,B)),D))
% Current number of equations to process: 939
% Current number of ordered equations: 0
% Current number of rules: 740
% New rule produced :
% [747]
% product(A,product(product(product(B,A),A),C)) <->
% product(product(product(product(A,B),A),A),product(A,C))
% Current number of equations to process: 1040
% Current number of ordered equations: 1
% Current number of rules: 741
% New rule produced :
% [748]
% product(product(product(product(A,B),A),A),product(A,C)) <->
% product(A,product(product(product(B,A),A),C))
% Current number of equations to process: 1040
% Current number of ordered equations: 0
% Current number of rules: 742
% New rule produced :
% [749]
% product(A,product(A,product(product(B,A),C))) <->
% product(product(product(A,product(A,B)),A),product(A,product(A,C)))
% Rule
% [575]
% product(A,product(A,product(product(B,A),B))) <->
% product(product(product(A,product(A,B)),A),product(A,product(A,B)))
% collapsed.
% Current number of equations to process: 1039
% Current number of ordered equations: 1
% Current number of rules: 742
% New rule produced :
% [750]
% product(product(product(A,product(A,B)),A),product(A,product(A,C))) <->
% product(A,product(A,product(product(B,A),C)))
% Rule
% [576]
% product(product(product(A,product(A,B)),A),product(A,product(A,B))) <->
% product(A,product(A,product(product(B,A),B))) collapsed.
% Current number of equations to process: 1039
% Current number of ordered equations: 0
% Current number of rules: 742
% New rule produced :
% [751]
% product(A,product(B,product(product(C,B),A))) <->
% product(product(A,product(product(B,C),B)),product(product(A,B),A))
% Current number of equations to process: 1038
% Current number of ordered equations: 1
% Current number of rules: 743
% New rule produced :
% [752]
% product(product(A,product(product(B,C),B)),product(product(A,B),A)) <->
% product(A,product(B,product(product(C,B),A)))
% Current number of equations to process: 1038
% Current number of ordered equations: 0
% Current number of rules: 744
% New rule produced :
% [753]
% product(product(A,B),product(A,product(product(C,A),B))) <->
% product(product(product(A,B),product(product(A,C),A)),product(A,B))
% Current number of equations to process: 1037
% Current number of ordered equations: 1
% Current number of rules: 745
% New rule produced :
% [754]
% product(product(product(A,B),product(product(A,C),A)),product(A,B)) <->
% product(product(A,B),product(A,product(product(C,A),B)))
% Current number of equations to process: 1037
% Current number of ordered equations: 0
% Current number of rules: 746
% New rule produced :
% [755]
% product(product(A,B),product(A,product(product(A,B),A))) <->
% product(product(A,product(product(B,A),B)),product(product(A,B),A))
% Current number of equations to process: 1036
% Current number of ordered equations: 1
% Current number of rules: 747
% New rule produced :
% [756]
% product(product(A,product(product(B,A),B)),product(product(A,B),A)) <->
% product(product(A,B),product(A,product(product(A,B),A)))
% Current number of equations to process: 1036
% Current number of ordered equations: 0
% Current number of rules: 748
% New rule produced :
% [757]
% product(product(A,product(B,A)),product(A,product(product(A,B),A))) <->
% product(product(product(product(A,B),A),A),product(product(A,B),A))
% Current number of equations to process: 1035
% Current number of ordered equations: 1
% Current number of rules: 749
% New rule produced :
% [758]
% product(product(product(product(A,B),A),A),product(product(A,B),A)) <->
% product(product(A,product(B,A)),product(A,product(product(A,B),A)))
% Current number of equations to process: 1035
% Current number of ordered equations: 0
% Current number of rules: 750
% New rule produced :
% [759]
% product(A,product(B,product(product(C,B),D))) <->
% product(product(product(A,product(B,C)),product(A,B)),product(A,product(B,D)))
% Current number of equations to process: 1034
% Current number of ordered equations: 1
% Current number of rules: 751
% New rule produced :
% [760]
% product(product(product(A,product(B,C)),product(A,B)),product(A,product(B,D)))
% <-> product(A,product(B,product(product(C,B),D)))
% Current number of equations to process: 1034
% Current number of ordered equations: 0
% Current number of rules: 752
% New rule produced :
% [761]
% product(A,product(B,product(product(C,B),D))) <->
% product(product(A,product(product(B,C),B)),product(product(A,B),product(A,D)))
% Current number of equations to process: 1033
% Current number of ordered equations: 1
% Current number of rules: 753
% New rule produced :
% [762]
% product(product(A,product(product(B,C),B)),product(product(A,B),product(A,D)))
% <-> product(A,product(B,product(product(C,B),D)))
% Current number of equations to process: 1033
% Current number of ordered equations: 0
% Current number of rules: 754
% New rule produced :
% [763]
% product(product(A,B),product(product(product(A,C),product(A,B)),D)) <->
% product(product(A,product(product(B,C),B)),product(product(A,B),D))
% Current number of equations to process: 1032
% Current number of ordered equations: 1
% Current number of rules: 755
% New rule produced :
% [764]
% product(product(A,product(product(B,C),B)),product(product(A,B),D)) <->
% product(product(A,B),product(product(product(A,C),product(A,B)),D))
% Current number of equations to process: 1032
% Current number of ordered equations: 0
% Current number of rules: 756
% New rule produced :
% [765]
% product(product(A,B),product(product(A,product(A,B)),C)) <->
% product(product(product(A,product(B,A)),product(A,B)),product(product(A,B),C))
% Current number of equations to process: 1030
% Current number of ordered equations: 2
% Current number of rules: 757
% New rule produced :
% [766]
% product(product(product(product(A,B),C),product(A,B)),product(A,product(B,A)))
% -> product(product(A,B),product(product(C,product(A,B)),A))
% Current number of equations to process: 1030
% Current number of ordered equations: 1
% Current number of rules: 758
% New rule produced :
% [767]
% product(product(product(A,product(B,A)),product(A,B)),product(product(A,B),C))
% <-> product(product(A,B),product(product(A,product(A,B)),C))
% Rule
% [736]
% product(product(product(A,product(B,A)),product(A,B)),product(product(A,B),A))
% -> product(product(A,B),product(A,product(product(A,B),A))) collapsed.
% Current number of equations to process: 1030
% Current number of ordered equations: 0
% Current number of rules: 758
% New rule produced :
% [768]
% product(product(A,B),product(A,product(product(C,A),D))) <->
% product(product(product(A,B),product(product(A,C),A)),product(A,product(B,D)))
% Current number of equations to process: 1029
% Current number of ordered equations: 1
% Current number of rules: 759
% New rule produced :
% [769]
% product(product(product(A,B),product(product(A,C),A)),product(A,product(B,D)))
% <-> product(product(A,B),product(A,product(product(C,A),D)))
% Current number of equations to process: 1029
% Current number of ordered equations: 0
% Current number of rules: 760
% New rule produced :
% [770]
% product(A,product(product(B,A),product(product(C,D),C))) <->
% product(product(product(A,B),A),product(product(A,C),product(A,product(D,C))))
% Current number of equations to process: 1027
% Current number of ordered equations: 3
% Current number of rules: 761
% New rule produced :
% [771]
% product(A,product(product(product(product(B,C),B),A),D)) <->
% product(product(product(product(A,B),product(A,product(C,B))),A),product(A,D))
% Current number of equations to process: 1027
% Current number of ordered equations: 2
% Current number of rules: 762
% New rule produced :
% [772]
% product(product(product(A,B),A),product(product(A,C),product(A,product(D,C))))
% <-> product(A,product(product(B,A),product(product(C,D),C)))
% Current number of equations to process: 1027
% Current number of ordered equations: 1
% Current number of rules: 763
% New rule produced :
% [773]
% product(product(product(product(A,B),product(A,product(C,B))),A),product(A,D))
% <-> product(A,product(product(product(product(B,C),B),A),D))
% Current number of equations to process: 1027
% Current number of ordered equations: 0
% Current number of rules: 764
% New rule produced :
% [774]
% product(A,product(product(product(product(B,A),C),A),D)) <->
% product(product(product(product(product(A,B),A),product(A,C)),A),product(A,D))
% Current number of equations to process: 1026
% Current number of ordered equations: 1
% Current number of rules: 765
% New rule produced :
% [775]
% product(product(product(product(product(A,B),A),product(A,C)),A),product(A,D))
% <-> product(A,product(product(product(product(B,A),C),A),D))
% Current number of equations to process: 1026
% Current number of ordered equations: 0
% Current number of rules: 766
% New rule produced :
% [776]
% product(A,product(product(product(B,product(A,B)),A),C)) <->
% product(product(product(product(product(A,B),A),product(A,B)),A),product(A,C))
% Current number of equations to process: 1025
% Current number of ordered equations: 1
% Current number of rules: 767
% New rule produced :
% [777]
% product(product(product(product(product(A,B),A),product(A,B)),A),product(A,C))
% <-> product(A,product(product(product(B,product(A,B)),A),C))
% Current number of equations to process: 1025
% Current number of ordered equations: 0
% Current number of rules: 768
% New rule produced :
% [778]
% product(A,product(product(product(B,product(C,A)),A),D)) <->
% product(product(product(product(A,B),product(product(A,C),A)),A),product(A,D))
% Current number of equations to process: 1024
% Current number of ordered equations: 1
% Current number of rules: 769
% New rule produced :
% [779]
% product(product(product(product(A,B),product(product(A,C),A)),A),product(A,D))
% <-> product(A,product(product(product(B,product(C,A)),A),D))
% Current number of equations to process: 1024
% Current number of ordered equations: 0
% Current number of rules: 770
% New rule produced :
% [780]
% product(product(product(A,B),A),product(product(A,C),product(product(A,B),A)))
% <-> product(product(A,product(product(B,A),C)),product(product(A,B),A))
% Current number of equations to process: 1023
% Current number of ordered equations: 1
% Current number of rules: 771
% New rule produced :
% [781]
% product(product(A,product(product(B,A),C)),product(product(A,B),A)) <->
% product(product(product(A,B),A),product(product(A,C),product(product(A,B),A)))
% Current number of equations to process: 1023
% Current number of ordered equations: 0
% Current number of rules: 772
% New rule produced :
% [782]
% product(A,product(product(B,A),product(product(C,D),product(C,V_4)))) <->
% product(product(product(A,B),A),product(product(A,C),product(A,product(D,V_4))))
% Current number of equations to process: 1021
% Current number of ordered equations: 3
% Current number of rules: 773
% New rule produced :
% [783]
% product(A,product(product(product(product(B,C),product(B,D)),A),V_4)) <->
% product(product(product(product(A,B),product(A,product(C,D))),A),product(A,V_4))
% Current number of equations to process: 1021
% Current number of ordered equations: 2
% Current number of rules: 774
% New rule produced :
% [784]
% product(product(product(A,B),A),product(product(A,C),product(A,product(D,V_4))))
% <-> product(A,product(product(B,A),product(product(C,D),product(C,V_4))))
% Current number of equations to process: 1021
% Current number of ordered equations: 1
% Current number of rules: 775
% New rule produced :
% [785]
% product(product(product(product(A,B),product(A,product(C,D))),A),product(A,V_4))
% <-> product(A,product(product(product(product(B,C),product(B,D)),A),V_4))
% Current number of equations to process: 1021
% Current number of ordered equations: 0
% Current number of rules: 776
% New rule produced :
% [786]
% product(A,product(product(B,product(product(C,D),C)),product(B,product(C,V_4))))
% <-> product(product(A,B),product(A,product(C,product(product(D,C),V_4))))
% Current number of equations to process: 1019
% Current number of ordered equations: 3
% Current number of rules: 777
% New rule produced :
% [787]
% product(product(A,B),product(A,product(C,product(product(D,C),V_4)))) <->
% product(A,product(product(B,product(product(C,D),C)),product(B,product(C,V_4))))
% Current number of equations to process: 1019
% Current number of ordered equations: 2
% Current number of rules: 778
% New rule produced :
% [788]
% product(product(product(A,B),A),product(product(C,A),product(C,D))) <->
% product(product(product(product(A,B),A),C),product(A,product(product(B,A),D)))
% Current number of equations to process: 1019
% Current number of ordered equations: 1
% Current number of rules: 779
% New rule produced :
% [789]
% product(product(product(product(A,B),A),C),product(A,product(product(B,A),D)))
% <-> product(product(product(A,B),A),product(product(C,A),product(C,D)))
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 780
% New rule produced :
% [790]
% product(product(product(A,B),C),product(product(product(C,A),product(C,B)),C))
% <-> product(product(product(product(A,B),C),C),product(product(A,B),C))
% Current number of equations to process: 1018
% Current number of ordered equations: 1
% Current number of rules: 781
% New rule produced :
% [791]
% product(product(product(product(A,B),C),C),product(product(A,B),C)) <->
% product(product(product(A,B),C),product(product(product(C,A),product(C,B)),C))
% Current number of equations to process: 1018
% Current number of ordered equations: 0
% Current number of rules: 782
% New rule produced :
% [792]
% product(A,product(product(B,C),product(product(C,B),C))) <->
% product(product(A,product(product(B,C),C)),product(A,product(B,C)))
% Current number of equations to process: 1126
% Current number of ordered equations: 1
% Current number of rules: 783
% New rule produced :
% [793]
% product(product(A,product(product(B,C),C)),product(A,product(B,C))) <->
% product(A,product(product(B,C),product(product(C,B),C)))
% Current number of equations to process: 1126
% Current number of ordered equations: 0
% Current number of rules: 784
% New rule produced :
% [794]
% product(product(product(A,B),B),product(product(product(B,A),B),B)) <->
% product(product(product(product(A,B),B),B),product(product(A,B),B))
% Current number of equations to process: 1125
% Current number of ordered equations: 1
% Current number of rules: 785
% New rule produced :
% [795]
% product(product(product(product(A,B),B),B),product(product(A,B),B)) <->
% product(product(product(A,B),B),product(product(product(B,A),B),B))
% Current number of equations to process: 1125
% Current number of ordered equations: 0
% Current number of rules: 786
% New rule produced :
% [796]
% product(product(A,B),product(product(product(B,A),B),product(A,B))) <->
% product(product(product(product(A,B),B),product(A,B)),product(A,B))
% Current number of equations to process: 1123
% Current number of ordered equations: 3
% Current number of rules: 787
% New rule produced :
% [797]
% product(product(A,product(B,A)),product(product(A,product(A,B)),A)) <->
% product(product(product(product(A,B),A),A),product(product(A,B),A))
% Current number of equations to process: 1123
% Current number of ordered equations: 2
% Current number of rules: 788
% New rule produced :
% [798]
% product(product(product(product(A,B),A),A),product(product(A,B),A)) <->
% product(product(A,product(B,A)),product(product(A,product(A,B)),A))
% Current number of equations to process: 1123
% Current number of ordered equations: 1
% Current number of rules: 789
% New rule produced :
% [799]
% product(product(product(product(A,B),B),product(A,B)),product(A,B)) <->
% product(product(A,B),product(product(product(B,A),B),product(A,B)))
% Current number of equations to process: 1123
% Current number of ordered equations: 0
% Current number of rules: 790
% New rule produced :
% [800]
% product(product(product(A,B),A),product(A,product(product(A,B),A))) <->
% product(product(A,product(product(B,A),A)),product(A,product(B,A)))
% Current number of equations to process: 1122
% Current number of ordered equations: 1
% Current number of rules: 791
% New rule produced :
% [801]
% product(product(A,product(product(B,A),A)),product(A,product(B,A))) <->
% product(product(product(A,B),A),product(A,product(product(A,B),A)))
% Current number of equations to process: 1122
% Current number of ordered equations: 0
% Current number of rules: 792
% New rule produced :
% [802]
% product(product(A,product(B,A)),product(product(A,product(A,B)),A)) <->
% product(product(A,product(product(B,A),A)),product(A,product(B,A)))
% Current number of equations to process: 1121
% Current number of ordered equations: 1
% Current number of rules: 793
% New rule produced :
% [803]
% product(product(A,product(product(B,A),A)),product(A,product(B,A))) <->
% product(product(A,product(B,A)),product(product(A,product(A,B)),A))
% Current number of equations to process: 1121
% Current number of ordered equations: 0
% Current number of rules: 794
% New rule produced :
% [804]
% product(A,product(product(product(B,C),C),product(B,C))) <->
% product(product(product(A,B),product(A,C)),product(A,product(product(C,B),C)))
% Current number of equations to process: 1120
% Current number of ordered equations: 1
% Current number of rules: 795
% New rule produced :
% [805]
% product(product(product(A,B),product(A,C)),product(A,product(product(C,B),C)))
% <-> product(A,product(product(product(B,C),C),product(B,C)))
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 796
% New rule produced :
% [806]
% product(A,product(product(product(B,C),C),product(B,C))) <->
% product(product(A,product(B,C)),product(product(A,product(C,B)),product(A,C)))
% Current number of equations to process: 1119
% Current number of ordered equations: 1
% Current number of rules: 797
% New rule produced :
% [807]
% product(product(A,product(B,C)),product(product(A,product(C,B)),product(A,C)))
% <-> product(A,product(product(product(B,C),C),product(B,C)))
% Current number of equations to process: 1119
% Current number of ordered equations: 0
% Current number of rules: 798
% New rule produced :
% [808]
% product(product(product(A,B),product(product(B,A),B)),product(product(
% product(A,B),B),C))
% -> product(product(A,B),product(B,C))
% Current number of equations to process: 1118
% Current number of ordered equations: 0
% Current number of rules: 799
% New rule produced :
% [809]
% product(product(A,B),product(product(C,product(B,A)),product(C,B))) <->
% product(product(product(A,B),C),product(product(product(A,B),B),product(A,B)))
% Current number of equations to process: 1117
% Current number of ordered equations: 1
% Current number of rules: 800
% New rule produced :
% [810]
% product(product(product(A,B),C),product(product(product(A,B),B),product(A,B)))
% <-> product(product(A,B),product(product(C,product(B,A)),product(C,B)))
% Current number of equations to process: 1117
% Current number of ordered equations: 0
% Current number of rules: 801
% New rule produced :
% [811]
% product(product(A,B),product(product(product(A,C),C),product(A,C))) <->
% product(product(A,product(B,C)),product(product(A,B),product(product(C,A),C)))
% Current number of equations to process: 1116
% Current number of ordered equations: 1
% Current number of rules: 802
% New rule produced :
% [812]
% product(product(A,product(B,C)),product(product(A,B),product(product(C,A),C)))
% <-> product(product(A,B),product(product(product(A,C),C),product(A,C)))
% Current number of equations to process: 1116
% Current number of ordered equations: 0
% Current number of rules: 803
% New rule produced :
% [813]
% product(product(A,B),product(product(A,C),product(product(B,A),B))) <->
% product(product(A,product(B,C)),product(product(product(A,B),B),product(A,B)))
% Current number of equations to process: 1115
% Current number of ordered equations: 1
% Current number of rules: 804
% New rule produced :
% [814]
% product(product(A,product(B,C)),product(product(product(A,B),B),product(A,B)))
% <-> product(product(A,B),product(product(A,C),product(product(B,A),B)))
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 805
% New rule produced :
% [815]
% product(product(A,B),product(product(product(B,A),B),product(A,C))) <->
% product(product(product(product(A,B),B),product(A,B)),product(A,product(B,C)))
% Current number of equations to process: 1114
% Current number of ordered equations: 1
% Current number of rules: 806
% New rule produced :
% [816]
% product(product(product(product(A,B),B),product(A,B)),product(A,product(B,C)))
% <-> product(product(A,B),product(product(product(B,A),B),product(A,C)))
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 807
% New rule produced :
% [817]
% product(product(A,B),product(product(A,B),product(product(B,A),B))) <->
% product(product(product(A,B),product(product(A,B),B)),product(A,B))
% Current number of equations to process: 1209
% Current number of ordered equations: 1
% Current number of rules: 808
% New rule produced :
% [818]
% product(product(product(A,B),product(product(A,B),B)),product(A,B)) <->
% product(product(A,B),product(product(A,B),product(product(B,A),B)))
% Current number of equations to process: 1209
% Current number of ordered equations: 0
% Current number of rules: 809
% New rule produced :
% [819]
% product(product(product(A,B),A),product(product(A,product(A,B)),A)) <->
% product(product(product(A,product(B,A)),A),product(product(A,B),A))
% Current number of equations to process: 1207
% Current number of ordered equations: 3
% Current number of rules: 810
% New rule produced :
% [820]
% product(product(product(A,B),A),product(product(A,product(A,B)),A)) <->
% product(product(product(product(A,B),A),A),product(A,product(B,A)))
% Current number of equations to process: 1207
% Current number of ordered equations: 2
% Current number of rules: 811
% New rule produced :
% [821]
% product(product(product(A,product(B,A)),A),product(product(A,B),A)) <->
% product(product(product(A,B),A),product(product(A,product(A,B)),A))
% Current number of equations to process: 1207
% Current number of ordered equations: 1
% Current number of rules: 812
% New rule produced :
% [822]
% product(product(product(product(A,B),A),A),product(A,product(B,A))) <->
% product(product(product(A,B),A),product(product(A,product(A,B)),A))
% Current number of equations to process: 1207
% Current number of ordered equations: 0
% Current number of rules: 813
% New rule produced :
% [823]
% product(A,product(product(B,C),product(product(C,B),C))) <->
% product(product(product(A,product(B,C)),product(A,C)),product(A,product(B,C)))
% Current number of equations to process: 1206
% Current number of ordered equations: 1
% Current number of rules: 814
% New rule produced :
% [824]
% product(product(product(A,product(B,C)),product(A,C)),product(A,product(B,C)))
% <-> product(A,product(product(B,C),product(product(C,B),C)))
% Current number of equations to process: 1206
% Current number of ordered equations: 0
% Current number of rules: 815
% New rule produced :
% [825]
% product(A,product(product(B,C),product(product(C,B),C))) <->
% product(product(A,product(product(B,C),C)),product(product(A,B),product(A,C)))
% Current number of equations to process: 1205
% Current number of ordered equations: 1
% Current number of rules: 816
% New rule produced :
% [826]
% product(product(A,product(product(B,C),C)),product(product(A,B),product(A,C)))
% <-> product(A,product(product(B,C),product(product(C,B),C)))
% Current number of equations to process: 1205
% Current number of ordered equations: 0
% Current number of rules: 817
% New rule produced :
% [827]
% product(product(A,B),product(product(A,C),product(product(C,A),C))) <->
% product(product(product(A,B),product(product(A,C),C)),product(A,product(B,C)))
% Current number of equations to process: 1204
% Current number of ordered equations: 1
% Current number of rules: 818
% New rule produced :
% [828]
% product(product(product(A,B),product(product(A,C),C)),product(A,product(B,C)))
% <-> product(product(A,B),product(product(A,C),product(product(C,A),C)))
% Current number of equations to process: 1204
% Current number of ordered equations: 0
% Current number of rules: 819
% New rule produced :
% [829]
% product(A,product(product(B,C),product(D,product(B,V_4)))) <->
% product(product(product(A,product(B,C)),product(A,D)),product(A,product(B,
% product(C,V_4))))
% Current number of equations to process: 1203
% Current number of ordered equations: 1
% Current number of rules: 820
% New rule produced :
% [830]
% product(product(product(A,product(B,C)),product(A,D)),product(A,product(B,
% product(C,V_4))))
% <-> product(A,product(product(B,C),product(D,product(B,V_4))))
% Current number of equations to process: 1203
% Current number of ordered equations: 0
% Current number of rules: 821
% New rule produced :
% [831]
% product(product(A,B),product(C,product(A,product(D,V_4)))) <->
% product(product(product(A,B),C),product(product(A,product(B,D)),product(A,
% product(B,V_4))))
% Current number of equations to process: 1202
% Current number of ordered equations: 1
% Current number of rules: 822
% New rule produced :
% [832]
% product(product(product(A,B),C),product(product(A,product(B,D)),product(A,
% product(B,V_4))))
% <-> product(product(A,B),product(C,product(A,product(D,V_4))))
% Current number of equations to process: 1202
% Current number of ordered equations: 0
% Current number of rules: 823
% New rule produced :
% [833]
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,V_4)))
% <->
% product(product(A,product(B,product(C,D))),product(A,product(product(B,C),V_4)))
% Current number of equations to process: 1201
% Current number of ordered equations: 1
% Current number of rules: 824
% New rule produced :
% [834]
% product(product(A,product(B,product(C,D))),product(A,product(product(B,C),V_4)))
% <->
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,V_4)))
% Current number of equations to process: 1201
% Current number of ordered equations: 0
% Current number of rules: 825
% New rule produced :
% [835]
% product(A,product(product(product(B,C),D),product(product(B,C),product(V_4,D))))
% <->
% product(product(product(A,B),product(A,C)),product(A,product(product(D,V_4),D)))
% Current number of equations to process: 1200
% Current number of ordered equations: 1
% Current number of rules: 826
% New rule produced :
% [836]
% product(product(product(A,B),product(A,C)),product(A,product(product(D,V_4),D)))
% <->
% product(A,product(product(product(B,C),D),product(product(B,C),product(V_4,D))))
% Current number of equations to process: 1200
% Current number of ordered equations: 0
% Current number of rules: 827
% New rule produced :
% [837]
% product(A,product(B,product(C,product(product(D,V_4),D)))) <->
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,
% product(V_4,D)))))
% Current number of equations to process: 1197
% Current number of ordered equations: 5
% Current number of rules: 828
% New rule produced :
% [838]
% product(A,product(B,product(product(product(C,D),C),V_4))) <->
% product(product(A,B),product(product(product(A,C),product(A,product(D,C))),
% product(A,V_4)))
% Current number of equations to process: 1197
% Current number of ordered equations: 4
% Current number of rules: 829
% New rule produced :
% [839]
% product(A,product(product(product(B,C),B),product(D,V_4))) <->
% product(product(product(A,B),product(A,product(C,B))),product(product(A,D),
% product(A,V_4)))
% Current number of equations to process: 1197
% Current number of ordered equations: 3
% Current number of rules: 830
% New rule produced :
% [840]
% product(product(A,B),product(product(product(A,C),product(A,product(D,C))),
% product(A,V_4))) <->
% product(A,product(B,product(product(product(C,D),C),V_4)))
% Current number of equations to process: 1197
% Current number of ordered equations: 2
% Current number of rules: 831
% New rule produced :
% [841]
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,
% product(V_4,D)))))
% <-> product(A,product(B,product(C,product(product(D,V_4),D))))
% Current number of equations to process: 1197
% Current number of ordered equations: 1
% Current number of rules: 832
% New rule produced :
% [842]
% product(product(product(A,B),product(A,product(C,B))),product(product(A,D),
% product(A,V_4))) <->
% product(A,product(product(product(B,C),B),product(D,V_4)))
% Current number of equations to process: 1197
% Current number of ordered equations: 0
% Current number of rules: 833
% New rule produced :
% [843]
% product(A,product(product(B,C),product(product(D,V_4),D))) <->
% product(product(product(A,B),product(A,C)),product(product(A,D),product(A,
% product(V_4,D))))
% Current number of equations to process: 1194
% Current number of ordered equations: 5
% Current number of rules: 834
% New rule produced :
% [844]
% product(A,product(product(product(product(B,C),B),D),V_4)) <->
% product(product(product(product(A,B),product(A,product(C,B))),product(A,D)),
% product(A,V_4))
% Current number of equations to process: 1194
% Current number of ordered equations: 4
% Current number of rules: 835
% New rule produced :
% [845]
% product(A,product(product(B,product(product(C,D),C)),V_4)) <->
% product(product(product(A,B),product(product(A,C),product(A,product(D,C)))),
% product(A,V_4))
% Current number of equations to process: 1194
% Current number of ordered equations: 3
% Current number of rules: 836
% New rule produced :
% [846]
% product(product(product(A,B),product(A,C)),product(product(A,D),product(A,
% product(V_4,D))))
% <-> product(A,product(product(B,C),product(product(D,V_4),D)))
% Current number of equations to process: 1194
% Current number of ordered equations: 2
% Current number of rules: 837
% New rule produced :
% [847]
% product(product(product(A,B),product(product(A,C),product(A,product(D,C)))),
% product(A,V_4)) <->
% product(A,product(product(B,product(product(C,D),C)),V_4))
% Current number of equations to process: 1194
% Current number of ordered equations: 1
% Current number of rules: 838
% New rule produced :
% [848]
% product(product(product(product(A,B),product(A,product(C,B))),product(A,D)),
% product(A,V_4)) <->
% product(A,product(product(product(product(B,C),B),D),V_4))
% Current number of equations to process: 1194
% Current number of ordered equations: 0
% Current number of rules: 839
% New rule produced :
% [849]
% product(A,product(B,product(C,product(product(D,V_4),D)))) <->
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,
% product(V_4,D)))))
% Current number of equations to process: 1192
% Current number of ordered equations: 3
% Current number of rules: 840
% New rule produced :
% [850]
% product(A,product(B,product(product(product(C,D),C),V_4))) <->
% product(product(A,product(product(B,C),product(B,product(D,C)))),product(A,
% product(B,V_4)))
% Current number of equations to process: 1192
% Current number of ordered equations: 2
% Current number of rules: 841
% New rule produced :
% [851]
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,
% product(V_4,D)))))
% <-> product(A,product(B,product(C,product(product(D,V_4),D))))
% Current number of equations to process: 1192
% Current number of ordered equations: 1
% Current number of rules: 842
% New rule produced :
% [852]
% product(product(A,product(product(B,C),product(B,product(D,C)))),product(A,
% product(B,V_4)))
% <-> product(A,product(B,product(product(product(C,D),C),V_4)))
% Current number of equations to process: 1192
% Current number of ordered equations: 0
% Current number of rules: 843
% New rule produced :
% [853]
% product(product(A,B),product(product(product(A,C),product(A,product(D,C))),V_4))
% <->
% product(product(A,product(B,product(product(C,D),C))),product(product(A,B),V_4))
% Current number of equations to process: 1191
% Current number of ordered equations: 1
% Current number of rules: 844
% New rule produced :
% [854]
% product(product(A,product(B,product(product(C,D),C))),product(product(A,B),V_4))
% <->
% product(product(A,B),product(product(product(A,C),product(A,product(D,C))),V_4))
% Current number of equations to process: 1191
% Current number of ordered equations: 0
% Current number of rules: 845
% New rule produced :
% [855]
% product(product(A,B),product(C,product(product(A,D),product(A,product(V_4,D)))))
% <->
% product(product(product(A,B),C),product(A,product(B,product(product(D,V_4),D))))
% Current number of equations to process: 1189
% Current number of ordered equations: 3
% Current number of rules: 846
% New rule produced :
% [856]
% product(product(product(A,B),C),product(A,product(B,product(product(D,V_4),D))))
% <->
% product(product(A,B),product(C,product(product(A,D),product(A,product(V_4,D)))))
% Current number of equations to process: 1189
% Current number of ordered equations: 2
% Current number of rules: 847
% New rule produced :
% [857]
% product(product(product(A,B),C),product(product(D,A),product(D,product(B,A))))
% <->
% product(product(product(product(A,B),C),D),product(product(A,B),product(C,A)))
% Current number of equations to process: 1189
% Current number of ordered equations: 1
% Current number of rules: 848
% New rule produced :
% [858]
% product(product(product(product(A,B),C),D),product(product(A,B),product(C,A)))
% <->
% product(product(product(A,B),C),product(product(D,A),product(D,product(B,A))))
% Current number of equations to process: 1189
% Current number of ordered equations: 0
% Current number of rules: 849
% New rule produced :
% [859]
% product(product(product(A,B),product(A,product(C,B))),product(product(A,
% product(B,C)),D))
% -> product(product(A,product(B,C)),product(product(A,B),D))
% Current number of equations to process: 1188
% Current number of ordered equations: 0
% Current number of rules: 850
% New rule produced :
% [860]
% product(product(product(A,product(B,C)),D),product(product(A,B),product(A,
% product(C,B))))
% -> product(product(A,product(B,C)),product(D,product(A,B)))
% Current number of equations to process: 1187
% Current number of ordered equations: 0
% Current number of rules: 851
% New rule produced :
% [861]
% product(A,product(product(product(B,C),D),product(B,product(product(C,V_4),C))))
% <->
% product(product(A,product(B,C)),product(A,product(D,product(B,product(V_4,C)))))
% Current number of equations to process: 1185
% Current number of ordered equations: 3
% Current number of rules: 852
% New rule produced :
% [862]
% product(A,product(product(B,product(product(C,D),C)),product(product(B,C),V_4)))
% <->
% product(product(A,product(B,C)),product(A,product(product(B,product(D,C)),V_4)))
% Current number of equations to process: 1185
% Current number of ordered equations: 2
% Current number of rules: 853
% New rule produced :
% [863]
% product(product(A,product(B,C)),product(A,product(product(B,product(D,C)),V_4)))
% <->
% product(A,product(product(B,product(product(C,D),C)),product(product(B,C),V_4)))
% Current number of equations to process: 1185
% Current number of ordered equations: 1
% Current number of rules: 854
% New rule produced :
% [864]
% product(product(A,product(B,C)),product(A,product(D,product(B,product(V_4,C)))))
% <->
% product(A,product(product(product(B,C),D),product(B,product(product(C,V_4),C))))
% Current number of equations to process: 1185
% Current number of ordered equations: 0
% Current number of rules: 855
% New rule produced :
% [865]
% product(A,product(product(B,product(product(C,D),C)),V_4)) <->
% product(product(product(A,product(B,C)),product(A,product(B,product(D,C)))),
% product(A,V_4))
% Current number of equations to process: 1184
% Current number of ordered equations: 1
% Current number of rules: 856
% New rule produced :
% [866]
% product(product(product(A,product(B,C)),product(A,product(B,product(D,C)))),
% product(A,V_4)) <->
% product(A,product(product(B,product(product(C,D),C)),V_4))
% Current number of equations to process: 1184
% Current number of ordered equations: 0
% Current number of rules: 857
% New rule produced :
% [867]
% product(A,product(product(product(B,C),D),product(B,C))) <->
% product(product(A,product(B,C)),product(product(A,D),product(product(A,B),
% product(A,C))))
% Current number of equations to process: 1182
% Current number of ordered equations: 3
% Current number of rules: 858
% New rule produced :
% [868]
% product(A,product(B,product(C,product(product(D,V_4),D)))) <->
% product(product(A,B),product(product(A,product(C,D)),product(A,product(C,
% product(V_4,D)))))
% Current number of equations to process: 1182
% Current number of ordered equations: 2
% Current number of rules: 859
% New rule produced :
% [869]
% product(product(A,B),product(product(A,product(C,D)),product(A,product(C,
% product(V_4,D)))))
% <-> product(A,product(B,product(C,product(product(D,V_4),D))))
% Current number of equations to process: 1182
% Current number of ordered equations: 1
% Current number of rules: 860
% New rule produced :
% [870]
% product(product(A,product(B,C)),product(product(A,D),product(product(A,B),
% product(A,C)))) <->
% product(A,product(product(product(B,C),D),product(B,C)))
% Current number of equations to process: 1182
% Current number of ordered equations: 0
% Current number of rules: 861
% New rule produced :
% [871]
% product(A,product(product(product(B,C),D),product(B,C))) <->
% product(product(A,product(B,C)),product(product(A,product(D,B)),product(A,
% product(D,C))))
% Current number of equations to process: 1180
% Current number of ordered equations: 3
% Current number of rules: 862
% New rule produced :
% [872]
% product(A,product(B,product(C,product(product(D,V_4),D)))) <->
% product(product(A,product(B,product(C,D))),product(A,product(B,product(C,
% product(V_4,D)))))
% Current number of equations to process: 1180
% Current number of ordered equations: 2
% Current number of rules: 863
% New rule produced :
% [873]
% product(product(A,product(B,C)),product(product(A,product(D,B)),product(A,
% product(D,C))))
% <-> product(A,product(product(product(B,C),D),product(B,C)))
% Current number of equations to process: 1180
% Current number of ordered equations: 1
% Current number of rules: 864
% New rule produced :
% [874]
% product(product(A,product(B,product(C,D))),product(A,product(B,product(C,
% product(V_4,D)))))
% <-> product(A,product(B,product(C,product(product(D,V_4),D))))
% Current number of equations to process: 1180
% Current number of ordered equations: 0
% Current number of rules: 865
% New rule produced :
% [875]
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,C)))
% <->
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,C))))
% Current number of equations to process: 1179
% Current number of ordered equations: 1
% Current number of rules: 866
% New rule produced :
% [876]
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,C))))
% <->
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,C)))
% Current number of equations to process: 1179
% Current number of ordered equations: 0
% Current number of rules: 867
% New rule produced :
% [877]
% product(product(A,B),product(product(C,product(A,D)),C)) <->
% product(product(product(A,B),C),product(product(A,product(B,D)),product(
% product(A,B),C)))
% Current number of equations to process: 1178
% Current number of ordered equations: 1
% Current number of rules: 868
% New rule produced :
% [878]
% product(product(product(A,B),C),product(product(A,product(B,D)),product(
% product(A,B),C)))
% <-> product(product(A,B),product(product(C,product(A,D)),C))
% Current number of equations to process: 1178
% Current number of ordered equations: 0
% Current number of rules: 869
% New rule produced :
% [879]
% product(product(product(A,B),A),product(product(product(A,B),product(C,B)),D))
% <->
% product(product(A,product(product(B,C),B)),product(product(product(A,B),A),D))
% Current number of equations to process: 1177
% Current number of ordered equations: 1
% Current number of rules: 870
% New rule produced :
% [880]
% product(product(A,product(product(B,C),B)),product(product(product(A,B),A),D))
% <->
% product(product(product(A,B),A),product(product(product(A,B),product(C,B)),D))
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 871
% New rule produced :
% [881]
% product(product(product(A,B),A),product(C,product(product(A,B),product(D,B))))
% <->
% product(product(product(product(A,B),A),C),product(A,product(product(B,D),B)))
% Current number of equations to process: 1176
% Current number of ordered equations: 1
% Current number of rules: 872
% New rule produced :
% [882]
% product(product(product(product(A,B),A),C),product(A,product(product(B,D),B)))
% <->
% product(product(product(A,B),A),product(C,product(product(A,B),product(D,B))))
% Current number of equations to process: 1176
% Current number of ordered equations: 0
% Current number of rules: 873
% New rule produced :
% [883]
% product(product(A,B),product(product(A,product(C,B)),D)) <->
% product(product(product(product(A,B),product(A,C)),product(A,B)),product(
% product(A,B),D))
% Current number of equations to process: 1175
% Current number of ordered equations: 1
% Current number of rules: 874
% New rule produced :
% [884]
% product(product(product(product(A,B),product(A,C)),product(A,B)),product(
% product(A,B),D))
% <-> product(product(A,B),product(product(A,product(C,B)),D))
% Current number of equations to process: 1175
% Current number of ordered equations: 0
% Current number of rules: 875
% New rule produced :
% [885]
% product(A,product(product(product(B,A),C),product(D,V_4))) <->
% product(product(product(product(A,B),A),product(A,C)),product(product(A,D),
% product(A,V_4)))
% Current number of equations to process: 1172
% Current number of ordered equations: 5
% Current number of rules: 876
% New rule produced :
% [886]
% product(A,product(B,product(product(product(C,A),D),V_4))) <->
% product(product(A,B),product(product(product(product(A,C),A),product(A,D)),
% product(A,V_4)))
% Current number of equations to process: 1172
% Current number of ordered equations: 4
% Current number of rules: 877
% New rule produced :
% [887]
% product(A,product(B,product(C,product(product(D,A),V_4)))) <->
% product(product(A,B),product(product(A,C),product(product(product(A,D),A),
% product(A,V_4))))
% Current number of equations to process: 1172
% Current number of ordered equations: 3
% Current number of rules: 878
% New rule produced :
% [888]
% product(product(A,B),product(product(product(product(A,C),A),product(A,D)),
% product(A,V_4))) <->
% product(A,product(B,product(product(product(C,A),D),V_4)))
% Current number of equations to process: 1172
% Current number of ordered equations: 2
% Current number of rules: 879
% New rule produced :
% [889]
% product(product(A,B),product(product(A,C),product(product(product(A,D),A),
% product(A,V_4)))) <->
% product(A,product(B,product(C,product(product(D,A),V_4))))
% Current number of equations to process: 1172
% Current number of ordered equations: 1
% Current number of rules: 880
% New rule produced :
% [890]
% product(product(product(product(A,B),A),product(A,C)),product(product(A,D),
% product(A,V_4))) <->
% product(A,product(product(product(B,A),C),product(D,V_4)))
% Current number of equations to process: 1172
% Current number of ordered equations: 0
% Current number of rules: 881
% New rule produced :
% [891]
% product(product(product(A,B),product(product(product(A,C),A),product(A,D))),
% product(A,V_4)) <->
% product(A,product(product(B,product(product(C,A),D)),V_4))
% Current number of equations to process: 1169
% Current number of ordered equations: 5
% Current number of rules: 882
% New rule produced :
% [892]
% product(A,product(product(product(product(B,A),C),D),V_4)) <->
% product(product(product(product(product(A,B),A),product(A,C)),product(A,D)),
% product(A,V_4))
% Current number of equations to process: 1169
% Current number of ordered equations: 4
% Current number of rules: 883
% New rule produced :
% [893]
% product(A,product(product(B,product(product(C,A),D)),V_4)) <->
% product(product(product(A,B),product(product(product(A,C),A),product(A,D))),
% product(A,V_4))
% Current number of equations to process: 1169
% Current number of ordered equations: 3
% Current number of rules: 884
% New rule produced :
% [894]
% product(A,product(product(B,C),product(product(D,A),V_4))) <->
% product(product(product(A,B),product(A,C)),product(product(product(A,D),A),
% product(A,V_4)))
% Current number of equations to process: 1169
% Current number of ordered equations: 2
% Current number of rules: 885
% New rule produced :
% [895]
% product(product(product(A,B),product(A,C)),product(product(product(A,D),A),
% product(A,V_4))) <->
% product(A,product(product(B,C),product(product(D,A),V_4)))
% Current number of equations to process: 1169
% Current number of ordered equations: 1
% Current number of rules: 886
% New rule produced :
% [896]
% product(product(product(product(product(A,B),A),product(A,C)),product(A,D)),
% product(A,V_4)) <->
% product(A,product(product(product(product(B,A),C),D),V_4))
% Current number of equations to process: 1169
% Current number of ordered equations: 0
% Current number of rules: 887
% New rule produced :
% [897]
% product(A,product(B,product(product(product(C,B),D),V_4))) <->
% product(product(A,product(product(product(B,C),B),product(B,D))),product(A,
% product(B,V_4)))
% Current number of equations to process: 1167
% Current number of ordered equations: 3
% Current number of rules: 888
% New rule produced :
% [898]
% product(A,product(B,product(C,product(product(D,B),V_4)))) <->
% product(product(A,product(B,C)),product(A,product(product(product(B,D),B),
% product(B,V_4))))
% Current number of equations to process: 1167
% Current number of ordered equations: 2
% Current number of rules: 889
% New rule produced :
% [899]
% product(product(A,product(B,C)),product(A,product(product(product(B,D),B),
% product(B,V_4)))) <->
% product(A,product(B,product(C,product(product(D,B),V_4))))
% Current number of equations to process: 1167
% Current number of ordered equations: 1
% Current number of rules: 890
% New rule produced :
% [900]
% product(product(A,product(product(product(B,C),B),product(B,D))),product(A,
% product(B,V_4)))
% <-> product(A,product(B,product(product(product(C,B),D),V_4)))
% Current number of equations to process: 1167
% Current number of ordered equations: 0
% Current number of rules: 891
% New rule produced :
% [901]
% product(product(A,product(B,product(product(C,A),D))),product(product(A,B),V_4))
% <->
% product(product(A,B),product(product(product(product(A,C),A),product(A,D)),V_4))
% Current number of equations to process: 1166
% Current number of ordered equations: 1
% Current number of rules: 892
% New rule produced :
% [902]
% product(product(A,B),product(product(product(product(A,C),A),product(A,D)),V_4))
% <->
% product(product(A,product(B,product(product(C,A),D))),product(product(A,B),V_4))
% Current number of equations to process: 1166
% Current number of ordered equations: 0
% Current number of rules: 893
% New rule produced :
% [903]
% product(product(A,B),product(C,product(product(product(A,D),A),product(A,V_4))))
% <->
% product(product(product(A,B),C),product(A,product(B,product(product(D,A),V_4))))
% Current number of equations to process: 1164
% Current number of ordered equations: 3
% Current number of rules: 894
% New rule produced :
% [904]
% product(product(product(A,B),C),product(A,product(B,product(product(D,A),V_4))))
% <->
% product(product(A,B),product(C,product(product(product(A,D),A),product(A,V_4))))
% Current number of equations to process: 1164
% Current number of ordered equations: 2
% Current number of rules: 895
% New rule produced :
% [905]
% product(product(product(A,B),C),product(product(product(B,A),B),product(B,D)))
% <->
% product(product(product(product(A,B),C),B),product(product(A,B),product(C,D)))
% Current number of equations to process: 1164
% Current number of ordered equations: 1
% Current number of rules: 896
% New rule produced :
% [906]
% product(product(product(product(A,B),C),B),product(product(A,B),product(C,D)))
% <->
% product(product(product(A,B),C),product(product(product(B,A),B),product(B,D)))
% Current number of equations to process: 1164
% Current number of ordered equations: 0
% Current number of rules: 897
% New rule produced :
% [907]
% product(product(A,product(B,A)),product(product(A,C),D)) <->
% product(product(product(product(A,B),A),product(A,C)),product(product(A,
% product(B,A)),D))
% Current number of equations to process: 1163
% Current number of ordered equations: 1
% Current number of rules: 898
% New rule produced :
% [908]
% product(product(product(product(A,B),A),product(A,C)),product(product(A,
% product(B,A)),D))
% <-> product(product(A,product(B,A)),product(product(A,C),D))
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 899
% New rule produced :
% [909]
% product(product(A,product(B,A)),product(C,product(A,D))) <->
% product(product(product(A,product(B,A)),C),product(product(product(A,B),A),
% product(A,D)))
% Current number of equations to process: 1162
% Current number of ordered equations: 1
% Current number of rules: 900
% New rule produced :
% [910]
% product(product(product(A,product(B,A)),C),product(product(product(A,B),A),
% product(A,D))) <->
% product(product(A,product(B,A)),product(C,product(A,D)))
% Current number of equations to process: 1162
% Current number of ordered equations: 0
% Current number of rules: 901
% New rule produced :
% [911]
% product(A,product(product(B,product(A,B)),product(C,D))) <->
% product(product(product(product(A,B),A),product(A,B)),product(product(A,C),
% product(A,D)))
% Current number of equations to process: 1159
% Current number of ordered equations: 5
% Current number of rules: 902
% New rule produced :
% [912]
% product(A,product(B,product(product(C,product(A,C)),D))) <->
% product(product(A,B),product(product(product(product(A,C),A),product(A,C)),
% product(A,D)))
% Current number of equations to process: 1159
% Current number of ordered equations: 4
% Current number of rules: 903
% New rule produced :
% [913]
% product(A,product(B,product(C,product(D,product(A,D))))) <->
% product(product(A,B),product(product(A,C),product(product(product(A,D),A),
% product(A,D))))
% Current number of equations to process: 1159
% Current number of ordered equations: 3
% Current number of rules: 904
% New rule produced :
% [914]
% product(product(A,B),product(product(A,C),product(product(product(A,D),A),
% product(A,D)))) <->
% product(A,product(B,product(C,product(D,product(A,D)))))
% Current number of equations to process: 1159
% Current number of ordered equations: 2
% Current number of rules: 905
% New rule produced :
% [915]
% product(product(A,B),product(product(product(product(A,C),A),product(A,C)),
% product(A,D))) <->
% product(A,product(B,product(product(C,product(A,C)),D)))
% Current number of equations to process: 1159
% Current number of ordered equations: 1
% Current number of rules: 906
% New rule produced :
% [916]
% product(product(product(product(A,B),A),product(A,B)),product(product(A,C),
% product(A,D))) <->
% product(A,product(product(B,product(A,B)),product(C,D)))
% Current number of equations to process: 1159
% Current number of ordered equations: 0
% Current number of rules: 907
% New rule produced :
% [917]
% product(product(product(A,B),product(product(product(A,C),A),product(A,C))),
% product(A,D)) <-> product(A,product(product(B,product(C,product(A,C))),D))
% Current number of equations to process: 1156
% Current number of ordered equations: 5
% Current number of rules: 908
% New rule produced :
% [918]
% product(A,product(product(product(B,product(A,B)),C),D)) <->
% product(product(product(product(product(A,B),A),product(A,B)),product(A,C)),
% product(A,D))
% Current number of equations to process: 1156
% Current number of ordered equations: 4
% Current number of rules: 909
% New rule produced :
% [919]
% product(A,product(product(B,product(C,product(A,C))),D)) <->
% product(product(product(A,B),product(product(product(A,C),A),product(A,C))),
% product(A,D))
% Current number of equations to process: 1156
% Current number of ordered equations: 3
% Current number of rules: 910
% New rule produced :
% [920]
% product(A,product(product(B,C),product(D,product(A,D)))) <->
% product(product(product(A,B),product(A,C)),product(product(product(A,D),A),
% product(A,D)))
% Current number of equations to process: 1156
% Current number of ordered equations: 2
% Current number of rules: 911
% New rule produced :
% [921]
% product(product(product(A,B),product(A,C)),product(product(product(A,D),A),
% product(A,D))) <->
% product(A,product(product(B,C),product(D,product(A,D))))
% Current number of equations to process: 1156
% Current number of ordered equations: 1
% Current number of rules: 912
% New rule produced :
% [922]
% product(product(product(product(product(A,B),A),product(A,B)),product(A,C)),
% product(A,D)) <-> product(A,product(product(product(B,product(A,B)),C),D))
% Current number of equations to process: 1156
% Current number of ordered equations: 0
% Current number of rules: 913
% New rule produced :
% [923]
% product(A,product(A,product(A,product(B,product(A,B))))) <->
% product(product(product(A,product(A,product(A,B))),A),product(A,product(A,
% product(A,B))))
% Current number of equations to process: 1153
% Current number of ordered equations: 5
% Current number of rules: 914
% New rule produced :
% [924]
% product(A,product(B,product(product(C,product(B,C)),D))) <->
% product(product(A,product(product(product(B,C),B),product(B,C))),product(A,
% product(B,D)))
% Current number of equations to process: 1153
% Current number of ordered equations: 4
% Current number of rules: 915
% New rule produced :
% [925]
% product(A,product(B,product(C,product(D,product(B,D))))) <->
% product(product(A,product(B,C)),product(A,product(product(product(B,D),B),
% product(B,D))))
% Current number of equations to process: 1153
% Current number of ordered equations: 3
% Current number of rules: 916
% New rule produced :
% [926]
% product(product(A,product(B,C)),product(A,product(product(product(B,D),B),
% product(B,D)))) <->
% product(A,product(B,product(C,product(D,product(B,D)))))
% Current number of equations to process: 1153
% Current number of ordered equations: 2
% Current number of rules: 917
% New rule produced :
% [927]
% product(product(A,product(product(product(B,C),B),product(B,C))),product(A,
% product(B,D)))
% <-> product(A,product(B,product(product(C,product(B,C)),D)))
% Current number of equations to process: 1153
% Current number of ordered equations: 1
% Current number of rules: 918
% New rule produced :
% [928]
% product(product(product(A,product(A,product(A,B))),A),product(A,product(A,
% product(A,B))))
% <-> product(A,product(A,product(A,product(B,product(A,B)))))
% Current number of equations to process: 1153
% Current number of ordered equations: 0
% Current number of rules: 919
% New rule produced :
% [929]
% product(product(A,product(B,product(C,product(A,C)))),product(product(A,B),D))
% <->
% product(product(A,B),product(product(product(product(A,C),A),product(A,C)),D))
% Current number of equations to process: 1152
% Current number of ordered equations: 1
% Current number of rules: 920
% New rule produced :
% [930]
% product(product(A,B),product(product(product(product(A,C),A),product(A,C)),D))
% <->
% product(product(A,product(B,product(C,product(A,C)))),product(product(A,B),D))
% Current number of equations to process: 1152
% Current number of ordered equations: 0
% Current number of rules: 921
% New rule produced :
% [931]
% product(product(A,B),product(C,product(product(product(A,D),A),product(A,D))))
% <->
% product(product(product(A,B),C),product(A,product(B,product(D,product(A,D)))))
% Current number of equations to process: 1151
% Current number of ordered equations: 1
% Current number of rules: 922
% New rule produced :
% [932]
% product(product(product(A,B),C),product(A,product(B,product(D,product(A,D)))))
% <->
% product(product(A,B),product(C,product(product(product(A,D),A),product(A,D))))
% Current number of equations to process: 1151
% Current number of ordered equations: 0
% Current number of rules: 923
% New rule produced :
% [933]
% product(product(A,B),product(C,product(A,product(D,B)))) <->
% product(product(product(A,B),C),product(product(product(A,B),product(A,D)),
% product(A,B)))
% Current number of equations to process: 1150
% Current number of ordered equations: 1
% Current number of rules: 924
% New rule produced :
% [934]
% product(product(product(A,B),C),product(product(product(A,B),product(A,D)),
% product(A,B))) <->
% product(product(A,B),product(C,product(A,product(D,B))))
% Current number of equations to process: 1150
% Current number of ordered equations: 0
% Current number of rules: 925
% New rule produced :
% [935]
% product(product(A,B),product(product(C,D),product(product(C,A),product(C,B))))
% <->
% product(product(product(A,B),C),product(product(product(A,B),D),product(A,B)))
% Current number of equations to process: 1149
% Current number of ordered equations: 1
% Current number of rules: 926
% New rule produced :
% [936]
% product(product(product(A,B),C),product(product(product(A,B),D),product(A,B)))
% <->
% product(product(A,B),product(product(C,D),product(product(C,A),product(C,B))))
% Current number of equations to process: 1149
% Current number of ordered equations: 0
% Current number of rules: 927
% New rule produced :
% [937]
% product(product(A,B),product(product(C,product(D,A)),product(C,product(D,B))))
% <->
% product(product(product(A,B),C),product(product(product(A,B),D),product(A,B)))
% Current number of equations to process: 1148
% Current number of ordered equations: 1
% Current number of rules: 928
% New rule produced :
% [938]
% product(product(product(A,B),C),product(product(product(A,B),D),product(A,B)))
% <->
% product(product(A,B),product(product(C,product(D,A)),product(C,product(D,B))))
% Current number of equations to process: 1148
% Current number of ordered equations: 0
% Current number of rules: 929
% New rule produced :
% [939]
% product(A,product(product(B,product(C,A)),product(D,V_4))) <->
% product(product(product(A,B),product(product(A,C),A)),product(product(A,D),
% product(A,V_4)))
% Current number of equations to process: 1145
% Current number of ordered equations: 5
% Current number of rules: 930
% New rule produced :
% [940]
% product(A,product(B,product(product(C,product(D,A)),V_4))) <->
% product(product(A,B),product(product(product(A,C),product(product(A,D),A)),
% product(A,V_4)))
% Current number of equations to process: 1145
% Current number of ordered equations: 4
% Current number of rules: 931
% New rule produced :
% [941]
% product(A,product(B,product(C,product(D,product(V_4,A))))) <->
% product(product(A,B),product(product(A,C),product(product(A,D),product(
% product(A,V_4),A))))
% Current number of equations to process: 1145
% Current number of ordered equations: 3
% Current number of rules: 932
% New rule produced :
% [942]
% product(product(A,B),product(product(A,C),product(product(A,D),product(
% product(A,V_4),A))))
% <-> product(A,product(B,product(C,product(D,product(V_4,A)))))
% Current number of equations to process: 1145
% Current number of ordered equations: 2
% Current number of rules: 933
% New rule produced :
% [943]
% product(product(A,B),product(product(product(A,C),product(product(A,D),A)),
% product(A,V_4))) <->
% product(A,product(B,product(product(C,product(D,A)),V_4)))
% Current number of equations to process: 1145
% Current number of ordered equations: 1
% Current number of rules: 934
% New rule produced :
% [944]
% product(product(product(A,B),product(product(A,C),A)),product(product(A,D),
% product(A,V_4))) <->
% product(A,product(product(B,product(C,A)),product(D,V_4)))
% Current number of equations to process: 1145
% Current number of ordered equations: 0
% Current number of rules: 935
% New rule produced :
% [945]
% product(A,product(product(product(B,product(C,A)),D),V_4)) <->
% product(product(product(product(A,B),product(product(A,C),A)),product(A,D)),
% product(A,V_4))
% Current number of equations to process: 1142
% Current number of ordered equations: 5
% Current number of rules: 936
% New rule produced :
% [946]
% product(A,product(product(B,product(C,product(D,A))),V_4)) <->
% product(product(product(A,B),product(product(A,C),product(product(A,D),A))),
% product(A,V_4))
% Current number of equations to process: 1142
% Current number of ordered equations: 4
% Current number of rules: 937
% New rule produced :
% [947]
% product(A,product(product(B,C),product(D,product(V_4,A)))) <->
% product(product(product(A,B),product(A,C)),product(product(A,D),product(
% product(A,V_4),A)))
% Current number of equations to process: 1142
% Current number of ordered equations: 3
% Current number of rules: 938
% New rule produced :
% [948]
% product(product(product(A,B),product(A,C)),product(product(A,D),product(
% product(A,V_4),A)))
% <-> product(A,product(product(B,C),product(D,product(V_4,A))))
% Current number of equations to process: 1142
% Current number of ordered equations: 2
% Current number of rules: 939
% New rule produced :
% [949]
% product(product(product(product(A,B),product(product(A,C),A)),product(A,D)),
% product(A,V_4)) <->
% product(A,product(product(product(B,product(C,A)),D),V_4))
% Current number of equations to process: 1142
% Current number of ordered equations: 1
% Current number of rules: 940
% New rule produced :
% [950]
% product(product(product(A,B),product(product(A,C),product(product(A,D),A))),
% product(A,V_4)) <->
% product(A,product(product(B,product(C,product(D,A))),V_4))
% Current number of equations to process: 1142
% Current number of ordered equations: 0
% Current number of rules: 941
% New rule produced :
% [951]
% product(A,product(B,product(product(C,product(D,B)),V_4))) <->
% product(product(A,product(product(B,C),product(product(B,D),B))),product(A,
% product(B,V_4)))
% Current number of equations to process: 1140
% Current number of ordered equations: 3
% Current number of rules: 942
% New rule produced :
% [952]
% product(A,product(B,product(C,product(D,product(V_4,B))))) <->
% product(product(A,product(B,C)),product(A,product(product(B,D),product(
% product(B,V_4),B))))
% Current number of equations to process: 1140
% Current number of ordered equations: 2
% Current number of rules: 943
% New rule produced :
% [953]
% product(product(A,product(B,C)),product(A,product(product(B,D),product(
% product(B,V_4),B))))
% <-> product(A,product(B,product(C,product(D,product(V_4,B)))))
% Current number of equations to process: 1140
% Current number of ordered equations: 1
% Current number of rules: 944
% New rule produced :
% [954]
% product(product(A,product(product(B,C),product(product(B,D),B))),product(A,
% product(B,V_4)))
% <-> product(A,product(B,product(product(C,product(D,B)),V_4)))
% Current number of equations to process: 1140
% Current number of ordered equations: 0
% Current number of rules: 945
% New rule produced :
% [955]
% product(product(A,product(B,product(C,product(D,A)))),product(product(A,B),V_4))
% <->
% product(product(A,B),product(product(product(A,C),product(product(A,D),A)),V_4))
% Current number of equations to process: 1139
% Current number of ordered equations: 1
% Current number of rules: 946
% New rule produced :
% [956]
% product(product(A,B),product(product(product(A,C),product(product(A,D),A)),V_4))
% <->
% product(product(A,product(B,product(C,product(D,A)))),product(product(A,B),V_4))
% Current number of equations to process: 1139
% Current number of ordered equations: 0
% Current number of rules: 947
% New rule produced :
% [957]
% product(product(A,B),product(C,product(product(A,D),product(product(A,V_4),A))))
% <->
% product(product(product(A,B),C),product(A,product(B,product(D,product(V_4,A)))))
% Current number of equations to process: 1138
% Current number of ordered equations: 1
% Current number of rules: 948
% New rule produced :
% [958]
% product(product(product(A,B),C),product(A,product(B,product(D,product(V_4,A)))))
% <->
% product(product(A,B),product(C,product(product(A,D),product(product(A,V_4),A))))
% Current number of equations to process: 1138
% Current number of ordered equations: 0
% Current number of rules: 949
% New rule produced :
% [959]
% product(product(A,B),product(C,product(product(B,A),B))) <->
% product(product(product(A,B),product(C,B)),product(product(product(A,B),C),
% product(A,B)))
% Current number of equations to process: 1137
% Current number of ordered equations: 1
% Current number of rules: 950
% New rule produced :
% [960]
% product(product(product(A,B),product(C,B)),product(product(product(A,B),C),
% product(A,B))) <->
% product(product(A,B),product(C,product(product(B,A),B)))
% Current number of equations to process: 1137
% Current number of ordered equations: 0
% Current number of rules: 951
% New rule produced :
% [961]
% product(A,product(product(B,product(C,product(D,B))),product(product(B,C),V_4)))
% <->
% product(product(A,product(B,C)),product(A,product(product(product(B,D),B),V_4)))
% Current number of equations to process: 1135
% Current number of ordered equations: 3
% Current number of rules: 952
% New rule produced :
% [962]
% product(A,product(product(product(B,C),D),product(B,product(C,product(V_4,B)))))
% <->
% product(product(A,product(B,C)),product(A,product(D,product(product(B,V_4),B))))
% Current number of equations to process: 1135
% Current number of ordered equations: 2
% Current number of rules: 953
% New rule produced :
% [963]
% product(product(A,product(B,C)),product(A,product(D,product(product(B,V_4),B))))
% <->
% product(A,product(product(product(B,C),D),product(B,product(C,product(V_4,B)))))
% Current number of equations to process: 1135
% Current number of ordered equations: 1
% Current number of rules: 954
% New rule produced :
% [964]
% product(product(A,product(B,C)),product(A,product(product(product(B,D),B),V_4)))
% <->
% product(A,product(product(B,product(C,product(D,B))),product(product(B,C),V_4)))
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 955
% New rule produced :
% [965]
% product(A,product(product(B,product(C,product(D,B))),V_4)) <->
% product(product(product(A,product(B,C)),product(A,product(product(B,D),B))),
% product(A,V_4))
% Current number of equations to process: 1132
% Current number of ordered equations: 5
% Current number of rules: 956
% New rule produced :
% [966]
% product(A,product(product(product(B,C),D),product(V_4,A))) <->
% product(product(product(product(A,B),product(A,C)),product(A,D)),product(
% product(A,V_4),A))
% Current number of equations to process: 1132
% Current number of ordered equations: 4
% Current number of rules: 957
% New rule produced :
% [967]
% product(A,product(B,product(product(product(C,D),V_4),A))) <->
% product(product(A,B),product(product(product(product(A,C),product(A,D)),
% product(A,V_4)),A))
% Current number of equations to process: 1132
% Current number of ordered equations: 3
% Current number of rules: 958
% New rule produced :
% [968]
% product(product(A,B),product(product(product(product(A,C),product(A,D)),
% product(A,V_4)),A)) <->
% product(A,product(B,product(product(product(C,D),V_4),A)))
% Current number of equations to process: 1132
% Current number of ordered equations: 2
% Current number of rules: 959
% New rule produced :
% [969]
% product(product(product(product(A,B),product(A,C)),product(A,D)),product(
% product(A,V_4),A))
% <-> product(A,product(product(product(B,C),D),product(V_4,A)))
% Current number of equations to process: 1132
% Current number of ordered equations: 1
% Current number of rules: 960
% New rule produced :
% [970]
% product(product(product(A,product(B,C)),product(A,product(product(B,D),B))),
% product(A,V_4)) <->
% product(A,product(product(B,product(C,product(D,B))),V_4))
% Current number of equations to process: 1132
% Current number of ordered equations: 0
% Current number of rules: 961
% New rule produced :
% [971]
% product(A,product(B,product(C,product(D,product(V_4,C))))) <->
% product(product(A,B),product(product(A,product(C,D)),product(A,product(
% product(C,V_4),C))))
% Current number of equations to process: 1129
% Current number of ordered equations: 5
% Current number of rules: 962
% New rule produced :
% [972]
% product(A,product(product(B,product(C,D)),product(V_4,A))) <->
% product(product(product(A,B),product(product(A,C),product(A,D))),product(
% product(A,V_4),A))
% Current number of equations to process: 1129
% Current number of ordered equations: 4
% Current number of rules: 963
% New rule produced :
% [973]
% product(A,product(B,product(product(C,product(D,V_4)),A))) <->
% product(product(A,B),product(product(product(A,C),product(product(A,D),
% product(A,V_4))),A))
% Current number of equations to process: 1129
% Current number of ordered equations: 3
% Current number of rules: 964
% New rule produced :
% [974]
% product(product(A,B),product(product(A,product(C,D)),product(A,product(
% product(C,V_4),C))))
% <-> product(A,product(B,product(C,product(D,product(V_4,C)))))
% Current number of equations to process: 1129
% Current number of ordered equations: 2
% Current number of rules: 965
% New rule produced :
% [975]
% product(product(A,B),product(product(product(A,C),product(product(A,D),
% product(A,V_4))),A)) <->
% product(A,product(B,product(product(C,product(D,V_4)),A)))
% Current number of equations to process: 1129
% Current number of ordered equations: 1
% Current number of rules: 966
% New rule produced :
% [976]
% product(product(product(A,B),product(product(A,C),product(A,D))),product(
% product(A,V_4),A))
% <-> product(A,product(product(B,product(C,D)),product(V_4,A)))
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 967
% New rule produced :
% [977]
% product(A,product(B,product(C,product(D,product(V_4,C))))) <->
% product(product(A,product(B,product(C,D))),product(A,product(B,product(
% product(C,V_4),C))))
% Current number of equations to process: 1126
% Current number of ordered equations: 5
% Current number of rules: 968
% New rule produced :
% [978]
% product(A,product(product(B,product(C,D)),product(V_4,A))) <->
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(
% product(A,V_4),A))
% Current number of equations to process: 1126
% Current number of ordered equations: 4
% Current number of rules: 969
% New rule produced :
% [979]
% product(A,product(B,product(product(C,product(D,V_4)),A))) <->
% product(product(A,B),product(product(product(A,product(C,D)),product(A,
% product(C,V_4))),A))
% Current number of equations to process: 1126
% Current number of ordered equations: 3
% Current number of rules: 970
% New rule produced :
% [980]
% product(product(A,B),product(product(product(A,product(C,D)),product(A,
% product(C,V_4))),A))
% <-> product(A,product(B,product(product(C,product(D,V_4)),A)))
% Current number of equations to process: 1126
% Current number of ordered equations: 2
% Current number of rules: 971
% New rule produced :
% [981]
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(
% product(A,V_4),A))
% <-> product(A,product(product(B,product(C,D)),product(V_4,A)))
% Current number of equations to process: 1126
% Current number of ordered equations: 1
% Current number of rules: 972
% New rule produced :
% [982]
% product(product(A,product(B,product(C,D))),product(A,product(B,product(
% product(C,V_4),C))))
% <-> product(A,product(B,product(C,product(D,product(V_4,C)))))
% Current number of equations to process: 1126
% Current number of ordered equations: 0
% Current number of rules: 973
% New rule produced :
% [983]
% product(product(product(A,B),product(product(A,C),D)),product(A,product(B,
% product(C,A))))
% -> product(product(A,B),product(product(A,C),product(D,A)))
% Current number of equations to process: 1124
% Current number of ordered equations: 1
% Current number of rules: 974
% New rule produced :
% [984]
% product(product(A,product(B,product(C,A))),product(product(A,B),product(
% product(A,C),D)))
% -> product(product(A,B),product(product(A,C),product(A,D)))
% Current number of equations to process: 1124
% Current number of ordered equations: 0
% Current number of rules: 975
% New rule produced :
% [985]
% product(A,product(product(B,product(C,product(B,C))),D)) <->
% product(product(product(A,product(product(B,C),B)),product(A,product(B,C))),
% product(A,D))
% Current number of equations to process: 1123
% Current number of ordered equations: 1
% Current number of rules: 976
% New rule produced :
% [986]
% product(product(product(A,product(product(B,C),B)),product(A,product(B,C))),
% product(A,D)) <-> product(A,product(product(B,product(C,product(B,C))),D))
% Current number of equations to process: 1123
% Current number of ordered equations: 0
% Current number of rules: 977
% New rule produced :
% [987]
% product(A,product(B,product(C,product(D,product(C,D))))) <->
% product(product(A,B),product(product(A,product(product(C,D),C)),product(A,
% product(C,D))))
% Current number of equations to process: 1122
% Current number of ordered equations: 1
% Current number of rules: 978
% New rule produced :
% [988]
% product(product(A,B),product(product(A,product(product(C,D),C)),product(A,
% product(C,D))))
% <-> product(A,product(B,product(C,product(D,product(C,D)))))
% Current number of equations to process: 1122
% Current number of ordered equations: 0
% Current number of rules: 979
% New rule produced :
% [989]
% product(A,product(B,product(C,product(D,product(C,D))))) <->
% product(product(A,product(B,product(product(C,D),C))),product(A,product(B,
% product(C,D))))
% Current number of equations to process: 1121
% Current number of ordered equations: 1
% Current number of rules: 980
% New rule produced :
% [990]
% product(product(A,product(B,product(product(C,D),C))),product(A,product(B,
% product(C,D))))
% <-> product(A,product(B,product(C,product(D,product(C,D)))))
% Current number of equations to process: 1121
% Current number of ordered equations: 0
% Current number of rules: 981
% New rule produced :
% [991]
% product(product(A,B),product(product(A,C),product(product(A,B),product(A,C))))
% <->
% product(product(A,product(product(B,C),B)),product(product(A,B),product(A,C)))
% Current number of equations to process: 1120
% Current number of ordered equations: 1
% Current number of rules: 982
% New rule produced :
% [992]
% product(product(A,product(product(B,C),B)),product(product(A,B),product(A,C)))
% <->
% product(product(A,B),product(product(A,C),product(product(A,B),product(A,C))))
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 983
% New rule produced :
% [993]
% product(A,product(product(B,product(C,product(B,C))),product(product(B,C),B)))
% <->
% product(product(A,product(B,C)),product(A,product(B,product(product(B,C),B))))
% Current number of equations to process: 1119
% Current number of ordered equations: 1
% Current number of rules: 984
% New rule produced :
% [994]
% product(product(A,product(B,C)),product(A,product(B,product(product(B,C),B))))
% <->
% product(A,product(product(B,product(C,product(B,C))),product(product(B,C),B)))
% Current number of equations to process: 1119
% Current number of ordered equations: 0
% Current number of rules: 985
% New rule produced :
% [995]
% product(A,product(product(product(B,C),product(product(B,C),B)),product(B,C)))
% <->
% product(product(A,product(B,C)),product(A,product(B,product(C,product(B,C)))))
% Current number of equations to process: 1118
% Current number of ordered equations: 1
% Current number of rules: 986
% New rule produced :
% [996]
% product(product(A,product(B,C)),product(A,product(B,product(C,product(B,C)))))
% <->
% product(A,product(product(product(B,C),product(product(B,C),B)),product(B,C)))
% Current number of equations to process: 1118
% Current number of ordered equations: 0
% Current number of rules: 987
% New rule produced :
% [997]
% product(A,product(product(B,A),product(product(C,D),V_4))) <->
% product(product(product(A,B),A),product(product(product(A,C),product(A,D)),
% product(A,V_4)))
% Current number of equations to process: 1115
% Current number of ordered equations: 5
% Current number of rules: 988
% New rule produced :
% [998]
% product(A,product(product(B,product(product(C,B),D)),V_4)) <->
% product(product(product(A,product(product(B,C),B)),product(A,product(B,D))),
% product(A,V_4))
% Current number of equations to process: 1115
% Current number of ordered equations: 4
% Current number of rules: 989
% New rule produced :
% [999]
% product(A,product(product(product(product(B,C),D),A),V_4)) <->
% product(product(product(product(product(A,B),product(A,C)),product(A,D)),A),
% product(A,V_4))
% Current number of equations to process: 1115
% Current number of ordered equations: 3
% Current number of rules: 990
% New rule produced :
% [1000]
% product(product(product(A,B),A),product(product(product(A,C),product(A,D)),
% product(A,V_4))) <->
% product(A,product(product(B,A),product(product(C,D),V_4)))
% Current number of equations to process: 1115
% Current number of ordered equations: 2
% Current number of rules: 991
% New rule produced :
% [1001]
% product(product(product(product(product(A,B),product(A,C)),product(A,D)),A),
% product(A,V_4)) <->
% product(A,product(product(product(product(B,C),D),A),V_4))
% Current number of equations to process: 1115
% Current number of ordered equations: 1
% Current number of rules: 992
% New rule produced :
% [1002]
% product(product(product(A,product(product(B,C),B)),product(A,product(B,D))),
% product(A,V_4)) <->
% product(A,product(product(B,product(product(C,B),D)),V_4))
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 993
% New rule produced :
% [1003]
% product(A,product(product(B,A),product(C,product(D,V_4)))) <->
% product(product(product(A,B),A),product(product(A,C),product(product(A,D),
% product(A,V_4))))
% Current number of equations to process: 1112
% Current number of ordered equations: 5
% Current number of rules: 994
% New rule produced :
% [1004]
% product(A,product(B,product(C,product(product(D,C),V_4)))) <->
% product(product(A,B),product(product(A,product(product(C,D),C)),product(A,
% product(C,V_4))))
% Current number of equations to process: 1112
% Current number of ordered equations: 4
% Current number of rules: 995
% New rule produced :
% [1005]
% product(A,product(product(product(B,product(C,D)),A),V_4)) <->
% product(product(product(product(A,B),product(product(A,C),product(A,D))),A),
% product(A,V_4))
% Current number of equations to process: 1112
% Current number of ordered equations: 3
% Current number of rules: 996
% New rule produced :
% [1006]
% product(product(A,B),product(product(A,product(product(C,D),C)),product(A,
% product(C,V_4))))
% <-> product(A,product(B,product(C,product(product(D,C),V_4))))
% Current number of equations to process: 1112
% Current number of ordered equations: 2
% Current number of rules: 997
% New rule produced :
% [1007]
% product(product(product(A,B),A),product(product(A,C),product(product(A,D),
% product(A,V_4)))) <->
% product(A,product(product(B,A),product(C,product(D,V_4))))
% Current number of equations to process: 1112
% Current number of ordered equations: 1
% Current number of rules: 998
% New rule produced :
% [1008]
% product(product(product(product(A,B),product(product(A,C),product(A,D))),A),
% product(A,V_4)) <->
% product(A,product(product(product(B,product(C,D)),A),V_4))
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 999
% New rule produced :
% [1009]
% product(A,product(product(B,A),product(C,product(D,V_4)))) <->
% product(product(product(A,B),A),product(product(A,product(C,D)),product(A,
% product(C,V_4))))
% Current number of equations to process: 1109
% Current number of ordered equations: 5
% Current number of rules: 1000
% New rule produced :
% [1010]
% product(A,product(B,product(C,product(product(D,C),V_4)))) <->
% product(product(A,product(B,product(product(C,D),C))),product(A,product(B,
% product(C,V_4))))
% Current number of equations to process: 1109
% Current number of ordered equations: 4
% Current number of rules: 1001
% New rule produced :
% [1011]
% product(A,product(product(product(B,product(C,D)),A),V_4)) <->
% product(product(product(product(A,product(B,C)),product(A,product(B,D))),A),
% product(A,V_4))
% Current number of equations to process: 1109
% Current number of ordered equations: 3
% Current number of rules: 1002
% New rule produced :
% [1012]
% product(product(product(A,B),A),product(product(A,product(C,D)),product(A,
% product(C,V_4))))
% <-> product(A,product(product(B,A),product(C,product(D,V_4))))
% Current number of equations to process: 1109
% Current number of ordered equations: 2
% Current number of rules: 1003
% New rule produced :
% [1013]
% product(product(product(product(A,product(B,C)),product(A,product(B,D))),A),
% product(A,V_4)) <->
% product(A,product(product(product(B,product(C,D)),A),V_4))
% Current number of equations to process: 1109
% Current number of ordered equations: 1
% Current number of rules: 1004
% New rule produced :
% [1014]
% product(product(A,product(B,product(product(C,D),C))),product(A,product(B,
% product(C,V_4))))
% <-> product(A,product(B,product(C,product(product(D,C),V_4))))
% Current number of equations to process: 1109
% Current number of ordered equations: 0
% Current number of rules: 1005
% New rule produced :
% [1015]
% product(product(product(A,B),A),product(A,product(C,D))) <->
% product(product(product(product(A,B),A),product(A,C)),product(A,product(
% product(B,A),D)))
% Current number of equations to process: 1107
% Current number of ordered equations: 3
% Current number of rules: 1006
% New rule produced :
% [1016]
% product(product(product(A,B),A),product(A,product(C,D))) <->
% product(product(A,product(product(B,A),C)),product(product(product(A,B),A),
% product(A,D)))
% Current number of equations to process: 1107
% Current number of ordered equations: 2
% Current number of rules: 1007
% New rule produced :
% [1017]
% product(product(product(product(A,B),A),product(A,C)),product(A,product(
% product(B,A),D)))
% <-> product(product(product(A,B),A),product(A,product(C,D)))
% Current number of equations to process: 1107
% Current number of ordered equations: 1
% Current number of rules: 1008
% New rule produced :
% [1018]
% product(product(A,product(product(B,A),C)),product(product(product(A,B),A),
% product(A,D))) <->
% product(product(product(A,B),A),product(A,product(C,D)))
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 1009
% New rule produced :
% [1019]
% product(product(product(A,B),product(A,C)),product(A,product(product(B,A),D)))
% <->
% product(product(product(A,B),A),product(product(product(A,B),C),product(A,D)))
% Current number of equations to process: 1106
% Current number of ordered equations: 1
% Current number of rules: 1010
% New rule produced :
% [1020]
% product(product(product(A,B),A),product(product(product(A,B),C),product(A,D)))
% <->
% product(product(product(A,B),product(A,C)),product(A,product(product(B,A),D)))
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 1011
% New rule produced :
% [1021]
% product(product(product(A,B),A),product(product(A,C),product(product(A,B),D)))
% <->
% product(product(A,product(product(B,A),C)),product(product(A,B),product(A,D)))
% Current number of equations to process: 1105
% Current number of ordered equations: 1
% Current number of rules: 1012
% New rule produced :
% [1022]
% product(product(A,product(product(B,A),C)),product(product(A,B),product(A,D)))
% <->
% product(product(product(A,B),A),product(product(A,C),product(product(A,B),D)))
% Current number of equations to process: 1105
% Current number of ordered equations: 0
% Current number of rules: 1013
% New rule produced :
% [1023]
% product(A,product(product(product(B,C),product(product(B,D),B)),product(B,C)))
% <->
% product(product(A,product(B,C)),product(A,product(B,product(product(D,B),C))))
% Current number of equations to process: 1104
% Current number of ordered equations: 1
% Current number of rules: 1014
% New rule produced :
% [1024]
% product(product(A,product(B,C)),product(A,product(B,product(product(D,B),C))))
% <->
% product(A,product(product(product(B,C),product(product(B,D),B)),product(B,C)))
% Current number of equations to process: 1104
% Current number of ordered equations: 0
% Current number of rules: 1015
% New rule produced :
% [1025]
% product(product(product(product(A,B),A),product(B,A)),product(product(A,B),A))
% <->
% product(product(product(A,B),A),product(product(product(B,A),A),product(B,A)))
% Current number of equations to process: 1102
% Current number of ordered equations: 3
% Current number of rules: 1016
% New rule produced :
% [1026]
% product(product(product(A,B),A),product(product(product(B,A),A),product(B,A)))
% <->
% product(product(product(product(A,B),A),product(B,A)),product(product(A,B),A))
% Current number of equations to process: 1102
% Current number of ordered equations: 2
% Current number of rules: 1017
% New rule produced :
% [1027]
% product(product(product(A,B),A),product(product(product(B,A),A),product(B,A)))
% <->
% product(product(product(A,product(B,A)),product(B,A)),product(A,product(B,A)))
% Current number of equations to process: 1102
% Current number of ordered equations: 1
% Current number of rules: 1018
% New rule produced :
% [1028]
% product(product(product(A,product(B,A)),product(B,A)),product(A,product(B,A)))
% <->
% product(product(product(A,B),A),product(product(product(B,A),A),product(B,A)))
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1029]
% product(product(product(A,product(A,B)),product(A,B)),product(A,product(A,B)))
% <->
% product(product(A,product(A,B)),product(product(A,product(B,A)),product(A,B)))
% Current number of equations to process: 1101
% Current number of ordered equations: 1
% Current number of rules: 1020
% New rule produced :
% [1030]
% product(product(A,product(A,B)),product(product(A,product(B,A)),product(A,B)))
% <->
% product(product(product(A,product(A,B)),product(A,B)),product(A,product(A,B)))
% Current number of equations to process: 1101
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [1031]
% product(A,product(product(B,product(C,D)),product(B,product(product(D,C),D))))
% <->
% product(product(A,B),product(A,product(product(product(C,D),D),product(C,D))))
% Current number of equations to process: 1100
% Current number of ordered equations: 1
% Current number of rules: 1022
% New rule produced :
% [1032]
% product(product(A,B),product(A,product(product(product(C,D),D),product(C,D))))
% <->
% product(A,product(product(B,product(C,D)),product(B,product(product(D,C),D))))
% Current number of equations to process: 1100
% Current number of ordered equations: 0
% Current number of rules: 1023
% New rule produced :
% [1033]
% product(product(product(product(A,B),B),C),product(product(A,B),product(
% product(B,A),B)))
% -> product(product(product(A,B),B),product(C,product(A,B)))
% Current number of equations to process: 1099
% Current number of ordered equations: 0
% Current number of rules: 1024
% New rule produced :
% [1034]
% product(product(product(product(A,B),A),product(B,A)),product(A,product(B,A)))
% <->
% product(product(A,product(B,A)),product(product(product(B,A),A),product(B,A)))
% Current number of equations to process: 1097
% Current number of ordered equations: 3
% Current number of rules: 1025
% New rule produced :
% [1035]
% product(product(A,product(B,A)),product(product(product(B,A),A),product(B,A)))
% <->
% product(product(product(product(A,B),A),product(B,A)),product(A,product(B,A)))
% Current number of equations to process: 1097
% Current number of ordered equations: 2
% Current number of rules: 1026
% New rule produced :
% [1036]
% product(product(A,product(B,A)),product(product(product(B,A),A),product(B,A)))
% <->
% product(product(product(A,product(B,A)),product(B,A)),product(product(A,B),A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1
% Current number of rules: 1027
% New rule produced :
% [1037]
% product(product(product(A,product(B,A)),product(B,A)),product(product(A,B),A))
% <->
% product(product(A,product(B,A)),product(product(product(B,A),A),product(B,A)))
% Current number of equations to process: 1097
% Current number of ordered equations: 0
% Current number of rules: 1028
% New rule produced :
% [1038]
% product(A,product(product(B,product(product(C,D),D)),product(B,product(C,D))))
% <->
% product(product(A,B),product(A,product(product(C,D),product(product(D,C),D))))
% Current number of equations to process: 1096
% Current number of ordered equations: 1
% Current number of rules: 1029
% New rule produced :
% [1039]
% product(product(A,B),product(A,product(product(C,D),product(product(D,C),D))))
% <->
% product(A,product(product(B,product(product(C,D),D)),product(B,product(C,D))))
% Current number of equations to process: 1096
% Current number of ordered equations: 0
% Current number of rules: 1030
% New rule produced :
% [1040]
% product(product(A,product(B,A)),product(product(B,A),product(product(A,B),A)))
% <->
% product(product(product(A,product(B,A)),product(B,A)),product(A,product(B,A)))
% Current number of equations to process: 1094
% Current number of ordered equations: 1
% Current number of rules: 1031
% New rule produced :
% [1041]
% product(product(product(A,product(B,A)),product(B,A)),product(A,product(B,A)))
% <->
% product(product(A,product(B,A)),product(product(B,A),product(product(A,B),A)))
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 1032
% New rule produced :
% [1042]
% product(product(A,product(B,A)),product(C,product(product(A,B),A))) <->
% product(product(product(A,product(B,A)),C),product(A,product(B,A)))
% Rule
% [581]
% product(product(A,product(B,A)),product(A,product(product(A,B),A))) <->
% product(product(product(A,product(B,A)),A),product(A,product(B,A)))
% collapsed.
% Rule
% [1040]
% product(product(A,product(B,A)),product(product(B,A),product(product(A,B),A)))
% <->
% product(product(product(A,product(B,A)),product(B,A)),product(A,product(B,A)))
% collapsed.
% Current number of equations to process: 1233
% Current number of ordered equations: 1
% Current number of rules: 1031
% New rule produced :
% [1043]
% product(product(product(A,product(B,A)),C),product(A,product(B,A))) <->
% product(product(A,product(B,A)),product(C,product(product(A,B),A)))
% Rule
% [582]
% product(product(product(A,product(B,A)),A),product(A,product(B,A))) <->
% product(product(A,product(B,A)),product(A,product(product(A,B),A)))
% collapsed.
% Rule
% [1041]
% product(product(product(A,product(B,A)),product(B,A)),product(A,product(B,A)))
% <->
% product(product(A,product(B,A)),product(product(B,A),product(product(A,B),A)))
% collapsed.
% Current number of equations to process: 1233
% Current number of ordered equations: 0
% Current number of rules: 1030
% New rule produced :
% [1044]
% product(A,product(product(B,C),product(product(D,B),product(D,C)))) <->
% product(product(A,product(product(B,C),D)),product(A,product(B,C)))
% Current number of equations to process: 1232
% Current number of ordered equations: 1
% Current number of rules: 1031
% New rule produced :
% [1045]
% product(product(A,product(product(B,C),D)),product(A,product(B,C))) <->
% product(A,product(product(B,C),product(product(D,B),product(D,C))))
% Current number of equations to process: 1232
% Current number of ordered equations: 0
% Current number of rules: 1032
% New rule produced :
% [1046]
% product(product(product(A,B),A),product(product(C,A),product(C,product(B,A))))
% <-> product(product(product(A,product(B,A)),C),product(A,product(B,A)))
% Current number of equations to process: 1231
% Current number of ordered equations: 1
% Current number of rules: 1033
% New rule produced :
% [1047]
% product(product(product(A,product(B,A)),C),product(A,product(B,A))) <->
% product(product(product(A,B),A),product(product(C,A),product(C,product(B,A))))
% Current number of equations to process: 1231
% Current number of ordered equations: 0
% Current number of rules: 1034
% New rule produced :
% [1048]
% product(product(A,B),product(product(product(C,A),product(C,B)),product(A,B)))
% <-> product(product(product(product(A,B),C),product(A,B)),product(A,B))
% Current number of equations to process: 1229
% Current number of ordered equations: 3
% Current number of rules: 1035
% New rule produced :
% [1049]
% product(product(A,product(B,A)),product(product(C,product(A,B)),product(C,A)))
% <-> product(product(product(product(A,B),A),C),product(product(A,B),A))
% Current number of equations to process: 1229
% Current number of ordered equations: 2
% Current number of rules: 1036
% New rule produced :
% [1050]
% product(product(product(product(A,B),A),C),product(product(A,B),A)) <->
% product(product(A,product(B,A)),product(product(C,product(A,B)),product(C,A)))
% Current number of equations to process: 1229
% Current number of ordered equations: 1
% Current number of rules: 1037
% New rule produced :
% [1051]
% product(product(product(product(A,B),C),product(A,B)),product(A,B)) <->
% product(product(A,B),product(product(product(C,A),product(C,B)),product(A,B)))
% Current number of equations to process: 1229
% Current number of ordered equations: 0
% Current number of rules: 1038
% New rule produced :
% [1052]
% product(product(A,product(B,C)),product(D,product(product(A,B),product(A,C))))
% <-> product(product(product(A,product(B,C)),D),product(A,product(B,C)))
% Current number of equations to process: 1228
% Current number of ordered equations: 1
% Current number of rules: 1039
% New rule produced :
% [1053]
% product(product(product(A,product(B,C)),D),product(A,product(B,C))) <->
% product(product(A,product(B,C)),product(D,product(product(A,B),product(A,C))))
% Current number of equations to process: 1228
% Current number of ordered equations: 0
% Current number of rules: 1040
% New rule produced :
% [1054]
% product(product(product(A,B),A),product(A,product(product(C,B),product(C,A))))
% <-> product(product(A,product(product(B,A),C)),product(A,product(B,A)))
% Current number of equations to process: 1227
% Current number of ordered equations: 1
% Current number of rules: 1041
% New rule produced :
% [1055]
% product(product(A,product(product(B,A),C)),product(A,product(B,A))) <->
% product(product(product(A,B),A),product(A,product(product(C,B),product(C,A))))
% Current number of equations to process: 1227
% Current number of ordered equations: 0
% Current number of rules: 1042
% New rule produced :
% [1056]
% product(A,product(product(product(B,C),D),product(B,C))) <->
% product(product(product(A,B),product(A,C)),product(A,product(product(D,B),
% product(D,C))))
% Current number of equations to process: 1226
% Current number of ordered equations: 1
% Current number of rules: 1043
% New rule produced :
% [1057]
% product(product(product(A,B),product(A,C)),product(A,product(product(D,B),
% product(D,C)))) <->
% product(A,product(product(product(B,C),D),product(B,C)))
% Current number of equations to process: 1226
% Current number of ordered equations: 0
% Current number of rules: 1044
% New rule produced :
% [1058]
% product(product(A,B),product(product(A,C),product(product(D,A),product(D,B))))
% <->
% product(product(A,product(B,C)),product(product(product(A,B),D),product(A,B)))
% Current number of equations to process: 1225
% Current number of ordered equations: 1
% Current number of rules: 1045
% New rule produced :
% [1059]
% product(product(A,product(B,C)),product(product(product(A,B),D),product(A,B)))
% <->
% product(product(A,B),product(product(A,C),product(product(D,A),product(D,B))))
% Current number of equations to process: 1225
% Current number of ordered equations: 0
% Current number of rules: 1046
% New rule produced :
% [1060]
% product(product(A,B),product(product(product(C,A),product(C,B)),product(A,D)))
% <->
% product(product(product(product(A,B),C),product(A,B)),product(A,product(B,D)))
% Current number of equations to process: 1224
% Current number of ordered equations: 1
% Current number of rules: 1047
% New rule produced :
% [1061]
% product(product(product(product(A,B),C),product(A,B)),product(A,product(B,D)))
% <->
% product(product(A,B),product(product(product(C,A),product(C,B)),product(A,D)))
% Current number of equations to process: 1224
% Current number of ordered equations: 0
% Current number of rules: 1048
% New rule produced :
% [1062]
% product(product(A,B),product(product(product(C,D),A),product(product(C,D),B)))
% <->
% product(product(product(product(A,B),C),product(product(A,B),D)),product(A,B))
% Current number of equations to process: 1221
% Current number of ordered equations: 5
% Current number of rules: 1049
% New rule produced :
% [1063]
% product(product(A,product(B,C)),product(product(D,A),product(D,product(B,C))))
% <->
% product(product(product(product(A,B),product(A,C)),D),product(A,product(B,C)))
% Current number of equations to process: 1221
% Current number of ordered equations: 4
% Current number of rules: 1050
% New rule produced :
% [1064]
% product(product(A,product(B,C)),product(product(D,A),product(D,product(B,C))))
% <->
% product(product(product(A,product(B,C)),D),product(product(A,B),product(A,C)))
% Current number of equations to process: 1221
% Current number of ordered equations: 3
% Current number of rules: 1051
% New rule produced :
% [1065]
% product(product(product(product(A,B),product(A,C)),D),product(A,product(B,C)))
% <->
% product(product(A,product(B,C)),product(product(D,A),product(D,product(B,C))))
% Current number of equations to process: 1221
% Current number of ordered equations: 2
% Current number of rules: 1052
% New rule produced :
% [1066]
% product(product(product(A,product(B,C)),D),product(product(A,B),product(A,C)))
% <->
% product(product(A,product(B,C)),product(product(D,A),product(D,product(B,C))))
% Current number of equations to process: 1221
% Current number of ordered equations: 1
% Current number of rules: 1053
% New rule produced :
% [1067]
% product(product(product(product(A,B),C),product(product(A,B),D)),product(A,B))
% <->
% product(product(A,B),product(product(product(C,D),A),product(product(C,D),B)))
% Current number of equations to process: 1221
% Current number of ordered equations: 0
% Current number of rules: 1054
% New rule produced :
% [1068]
% product(product(product(A,B),product(C,A)),product(product(A,B),C)) <->
% product(product(product(A,B),C),product(A,product(B,C)))
% Current number of equations to process: 1342
% Current number of ordered equations: 1
% Current number of rules: 1055
% New rule produced :
% [1069]
% product(product(product(A,B),C),product(A,product(B,C))) <->
% product(product(product(A,B),product(C,A)),product(product(A,B),C))
% Current number of equations to process: 1342
% Current number of ordered equations: 0
% Current number of rules: 1056
% New rule produced :
% [1070]
% product(product(A,B),product(product(A,B),product(product(C,A),product(C,B))))
% <-> product(product(product(A,B),product(product(A,B),C)),product(A,B))
% Current number of equations to process: 1339
% Current number of ordered equations: 5
% Current number of rules: 1057
% New rule produced :
% [1071]
% product(product(A,product(B,A)),product(product(C,A),product(C,product(B,A))))
% <-> product(product(product(product(A,B),A),C),product(A,product(B,A)))
% Current number of equations to process: 1339
% Current number of ordered equations: 4
% Current number of rules: 1058
% New rule produced :
% [1072]
% product(product(A,product(B,A)),product(product(C,A),product(C,product(B,A))))
% <-> product(product(product(A,product(B,A)),C),product(product(A,B),A))
% Current number of equations to process: 1339
% Current number of ordered equations: 3
% Current number of rules: 1059
% New rule produced :
% [1073]
% product(product(product(product(A,B),A),C),product(A,product(B,A))) <->
% product(product(A,product(B,A)),product(product(C,A),product(C,product(B,A))))
% Current number of equations to process: 1339
% Current number of ordered equations: 2
% Current number of rules: 1060
% New rule produced :
% [1074]
% product(product(product(A,product(B,A)),C),product(product(A,B),A)) <->
% product(product(A,product(B,A)),product(product(C,A),product(C,product(B,A))))
% Current number of equations to process: 1339
% Current number of ordered equations: 1
% Current number of rules: 1061
% New rule produced :
% [1075]
% product(product(product(A,B),product(product(A,B),C)),product(A,B)) <->
% product(product(A,B),product(product(A,B),product(product(C,A),product(C,B))))
% Current number of equations to process: 1339
% Current number of ordered equations: 0
% Current number of rules: 1062
% New rule produced :
% [1076]
% product(product(product(A,B),A),product(product(C,product(A,B)),product(C,A)))
% <-> product(product(product(product(A,B),A),C),product(A,product(B,A)))
% Current number of equations to process: 1337
% Current number of ordered equations: 3
% Current number of rules: 1063
% New rule produced :
% [1077]
% product(product(product(A,B),A),product(product(C,product(A,B)),product(C,A)))
% <-> product(product(product(A,product(B,A)),C),product(product(A,B),A))
% Current number of equations to process: 1337
% Current number of ordered equations: 2
% Current number of rules: 1064
% New rule produced :
% [1078]
% product(product(product(product(A,B),A),C),product(A,product(B,A))) <->
% product(product(product(A,B),A),product(product(C,product(A,B)),product(C,A)))
% Current number of equations to process: 1337
% Current number of ordered equations: 1
% Current number of rules: 1065
% New rule produced :
% [1079]
% product(product(product(A,product(B,A)),C),product(product(A,B),A)) <->
% product(product(product(A,B),A),product(product(C,product(A,B)),product(C,A)))
% Current number of equations to process: 1337
% Current number of ordered equations: 0
% Current number of rules: 1066
% New rule produced :
% [1080]
% product(A,product(product(B,C),product(product(D,B),product(D,C)))) <->
% product(product(product(A,product(B,C)),product(A,D)),product(A,product(B,C)))
% Current number of equations to process: 1336
% Current number of ordered equations: 1
% Current number of rules: 1067
% New rule produced :
% [1081]
% product(product(product(A,product(B,C)),product(A,D)),product(A,product(B,C)))
% <-> product(A,product(product(B,C),product(product(D,B),product(D,C))))
% Current number of equations to process: 1336
% Current number of ordered equations: 0
% Current number of rules: 1068
% New rule produced :
% [1082]
% product(A,product(product(B,C),product(product(D,B),product(D,C)))) <->
% product(product(A,product(product(B,C),D)),product(product(A,B),product(A,C)))
% Current number of equations to process: 1335
% Current number of ordered equations: 1
% Current number of rules: 1069
% New rule produced :
% [1083]
% product(product(A,product(product(B,C),D)),product(product(A,B),product(A,C)))
% <-> product(A,product(product(B,C),product(product(D,B),product(D,C))))
% Current number of equations to process: 1335
% Current number of ordered equations: 0
% Current number of rules: 1070
% New rule produced :
% [1084]
% product(product(A,product(B,A)),product(A,product(product(C,B),product(C,A))))
% <-> product(product(A,product(product(B,A),C)),product(product(A,B),A))
% Current number of equations to process: 1334
% Current number of ordered equations: 1
% Current number of rules: 1071
% New rule produced :
% [1085]
% product(product(A,product(product(B,A),C)),product(product(A,B),A)) <->
% product(product(A,product(B,A)),product(A,product(product(C,B),product(C,A))))
% Current number of equations to process: 1334
% Current number of ordered equations: 0
% Current number of rules: 1072
% New rule produced :
% [1086]
% product(product(product(A,B),A),product(product(A,C),product(A,product(B,A))))
% <-> product(product(A,product(product(B,A),C)),product(product(A,B),A))
% Current number of equations to process: 1333
% Current number of ordered equations: 1
% Current number of rules: 1073
% New rule produced :
% [1087]
% product(product(A,product(product(B,A),C)),product(product(A,B),A)) <->
% product(product(product(A,B),A),product(product(A,C),product(A,product(B,A))))
% Current number of equations to process: 1333
% Current number of ordered equations: 0
% Current number of rules: 1074
% New rule produced :
% [1088]
% product(product(A,B),product(product(A,C),product(product(D,A),product(D,C))))
% <->
% product(product(product(A,B),product(product(A,C),D)),product(A,product(B,C)))
% Current number of equations to process: 1332
% Current number of ordered equations: 1
% Current number of rules: 1075
% New rule produced :
% [1089]
% product(product(product(A,B),product(product(A,C),D)),product(A,product(B,C)))
% <->
% product(product(A,B),product(product(A,C),product(product(D,A),product(D,C))))
% Current number of equations to process: 1332
% Current number of ordered equations: 0
% Current number of rules: 1076
% New rule produced :
% [1090]
% product(product(A,B),product(C,product(product(A,B),C))) <->
% product(product(product(A,B),product(product(C,A),product(C,B))),product(
% product(A,B),C))
% Current number of equations to process: 1331
% Current number of ordered equations: 1
% Current number of rules: 1077
% New rule produced :
% [1091]
% product(product(product(A,B),product(product(C,A),product(C,B))),product(
% product(A,B),C))
% <-> product(product(A,B),product(C,product(product(A,B),C)))
% Current number of equations to process: 1331
% Current number of ordered equations: 0
% Current number of rules: 1078
% New rule produced :
% [1092]
% product(product(product(A,B),product(A,C)),product(A,product(D,product(B,C))))
% <->
% product(product(product(A,product(B,C)),product(A,D)),product(A,product(B,C)))
% Current number of equations to process: 1330
% Current number of ordered equations: 1
% Current number of rules: 1079
% New rule produced :
% [1093]
% product(product(product(A,product(B,C)),product(A,D)),product(A,product(B,C)))
% <->
% product(product(product(A,B),product(A,C)),product(A,product(D,product(B,C))))
% Current number of equations to process: 1330
% Current number of ordered equations: 0
% Current number of rules: 1080
% New rule produced :
% [1094]
% product(product(A,B),product(A,product(B,product(C,B)))) <->
% product(product(product(A,B),product(A,product(B,C))),product(A,B))
% Current number of equations to process: 1473
% Current number of ordered equations: 1
% Current number of rules: 1081
% New rule produced :
% [1095]
% product(product(product(A,B),product(A,product(B,C))),product(A,B)) <->
% product(product(A,B),product(A,product(B,product(C,B))))
% Current number of equations to process: 1473
% Current number of ordered equations: 0
% Current number of rules: 1082
% New rule produced :
% [1096]
% product(A,product(product(product(B,C),product(B,D)),product(B,C))) <->
% product(product(A,B),product(A,product(C,product(D,C))))
% Current number of equations to process: 1472
% Current number of ordered equations: 1
% Current number of rules: 1083
% New rule produced :
% [1097]
% product(product(A,B),product(A,product(C,product(D,C)))) <->
% product(A,product(product(product(B,C),product(B,D)),product(B,C)))
% Current number of equations to process: 1472
% Current number of ordered equations: 0
% Current number of rules: 1084
% New rule produced :
% [1098]
% product(A,product(B,product(C,product(D,C)))) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,C)))
% Current number of equations to process: 1471
% Current number of ordered equations: 1
% Current number of rules: 1085
% New rule produced :
% [1099]
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,C)))
% <-> product(A,product(B,product(C,product(D,C))))
% Current number of equations to process: 1471
% Current number of ordered equations: 0
% Current number of rules: 1086
% New rule produced :
% [1100]
% product(A,product(product(B,product(C,B)),D)) <->
% product(product(product(product(A,B),product(A,C)),product(A,B)),product(A,D))
% Current number of equations to process: 1470
% Current number of ordered equations: 1
% Current number of rules: 1087
% New rule produced :
% [1101]
% product(product(product(product(A,B),product(A,C)),product(A,B)),product(A,D))
% <-> product(A,product(product(B,product(C,B)),D))
% Current number of equations to process: 1470
% Current number of ordered equations: 0
% Current number of rules: 1088
% New rule produced :
% [1102]
% product(product(A,B),product(product(A,B),product(A,product(C,B)))) <->
% product(product(product(A,B),product(A,product(B,C))),product(A,B))
% Current number of equations to process: 1469
% Current number of ordered equations: 1
% Current number of rules: 1089
% New rule produced :
% [1103]
% product(product(product(A,B),product(A,product(B,C))),product(A,B)) <->
% product(product(A,B),product(product(A,B),product(A,product(C,B))))
% Current number of equations to process: 1469
% Current number of ordered equations: 0
% Current number of rules: 1090
% New rule produced :
% [1104]
% product(product(A,B),product(product(product(A,C),A),product(A,B))) <->
% product(product(product(A,B),product(A,product(C,A))),product(A,B))
% Current number of equations to process: 1468
% Current number of ordered equations: 1
% Current number of rules: 1091
% New rule produced :
% [1105]
% product(product(product(A,B),product(A,product(C,A))),product(A,B)) <->
% product(product(A,B),product(product(product(A,C),A),product(A,B)))
% Current number of equations to process: 1468
% Current number of ordered equations: 0
% Current number of rules: 1092
% New rule produced :
% [1106]
% product(A,product(product(B,C),product(B,product(D,C)))) <->
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,C)))
% Current number of equations to process: 1467
% Current number of ordered equations: 1
% Current number of rules: 1093
% New rule produced :
% [1107]
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,C)))
% <-> product(A,product(product(B,C),product(B,product(D,C))))
% Current number of equations to process: 1467
% Current number of ordered equations: 0
% Current number of rules: 1094
% New rule produced :
% [1108]
% product(product(product(A,B),A),product(A,product(C,product(B,A)))) <->
% product(product(product(A,product(B,A)),product(A,C)),product(A,product(B,A)))
% Current number of equations to process: 1466
% Current number of ordered equations: 1
% Current number of rules: 1095
% New rule produced :
% [1109]
% product(product(product(A,product(B,A)),product(A,C)),product(A,product(B,A)))
% <-> product(product(product(A,B),A),product(A,product(C,product(B,A))))
% Current number of equations to process: 1466
% Current number of ordered equations: 0
% Current number of rules: 1096
% New rule produced :
% [1110]
% product(product(A,B),product(product(A,product(C,B)),product(A,B))) <->
% product(product(product(product(A,B),product(A,C)),product(A,B)),product(A,B))
% Current number of equations to process: 1465
% Current number of ordered equations: 1
% Current number of rules: 1097
% New rule produced :
% [1111]
% product(product(product(product(A,B),product(A,C)),product(A,B)),product(A,B))
% <-> product(product(A,B),product(product(A,product(C,B)),product(A,B)))
% Current number of equations to process: 1465
% Current number of ordered equations: 0
% Current number of rules: 1098
% New rule produced :
% [1112]
% product(A,product(product(product(B,C),product(B,D)),product(B,C))) <->
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,C))))
% Current number of equations to process: 1463
% Current number of ordered equations: 3
% Current number of rules: 1099
% New rule produced :
% [1113]
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,B)))
% <-> product(product(product(A,B),product(A,product(C,D))),product(A,B))
% Current number of equations to process: 1463
% Current number of ordered equations: 2
% Current number of rules: 1100
% New rule produced :
% [1114]
% product(product(product(A,B),product(A,C)),product(A,product(B,product(D,C))))
% <-> product(A,product(product(product(B,C),product(B,D)),product(B,C)))
% Current number of equations to process: 1463
% Current number of ordered equations: 1
% Current number of rules: 1101
% New rule produced :
% [1115]
% product(product(product(A,B),product(A,product(C,D))),product(A,B)) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,B)))
% Current number of equations to process: 1463
% Current number of ordered equations: 0
% Current number of rules: 1102
% New rule produced :
% [1116]
% product(product(product(A,B),A),product(A,product(B,product(C,A)))) <->
% product(product(A,product(product(B,A),product(B,C))),product(A,product(B,A)))
% Current number of equations to process: 1462
% Current number of ordered equations: 1
% Current number of rules: 1103
% New rule produced :
% [1117]
% product(product(A,product(product(B,A),product(B,C))),product(A,product(B,A)))
% <-> product(product(product(A,B),A),product(A,product(B,product(C,A))))
% Current number of equations to process: 1462
% Current number of ordered equations: 0
% Current number of rules: 1104
% New rule produced :
% [1118]
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,C)))
% <->
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,C))))
% Current number of equations to process: 1460
% Current number of ordered equations: 1
% Current number of rules: 1105
% New rule produced :
% [1119]
% product(product(A,product(B,C)),product(product(A,B),product(A,product(D,C))))
% <->
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,C)))
% Current number of equations to process: 1460
% Current number of ordered equations: 0
% Current number of rules: 1106
% New rule produced :
% [1120]
% product(product(A,product(B,A)),product(C,product(A,C))) <->
% product(product(product(product(A,B),A),product(C,A)),product(product(
% product(A,B),A),C))
% Current number of equations to process: 1459
% Current number of ordered equations: 1
% Current number of rules: 1107
% New rule produced :
% [1121]
% product(product(product(product(A,B),A),product(C,A)),product(product(
% product(A,B),A),C))
% <-> product(product(A,product(B,A)),product(C,product(A,C)))
% Current number of equations to process: 1459
% Current number of ordered equations: 0
% Current number of rules: 1108
% New rule produced :
% [1122]
% product(product(A,B),product(A,product(product(C,B),B))) <->
% product(product(A,product(product(B,C),B)),product(A,B))
% Current number of equations to process: 1596
% Current number of ordered equations: 1
% Current number of rules: 1109
% New rule produced :
% [1123]
% product(product(A,product(product(B,C),B)),product(A,B)) <->
% product(product(A,B),product(A,product(product(C,B),B)))
% Current number of equations to process: 1596
% Current number of ordered equations: 0
% Current number of rules: 1110
% New rule produced :
% [1124]
% product(product(A,B),product(A,product(product(A,B),B))) <->
% product(product(product(product(A,B),A),product(A,B)),product(A,B))
% Current number of equations to process: 1595
% Current number of ordered equations: 1
% Current number of rules: 1111
% New rule produced :
% [1125]
% product(product(product(product(A,B),A),product(A,B)),product(A,B)) <->
% product(product(A,B),product(A,product(product(A,B),B)))
% Current number of equations to process: 1595
% Current number of ordered equations: 0
% Current number of rules: 1112
% New rule produced :
% [1126]
% product(product(A,B),product(A,product(product(C,D),B))) <->
% product(product(A,product(product(B,C),product(B,D))),product(A,B))
% Current number of equations to process: 1594
% Current number of ordered equations: 1
% Current number of rules: 1113
% New rule produced :
% [1127]
% product(product(A,product(product(B,C),product(B,D))),product(A,B)) <->
% product(product(A,B),product(A,product(product(C,D),B)))
% Current number of equations to process: 1594
% Current number of ordered equations: 0
% Current number of rules: 1114
% New rule produced :
% [1128]
% product(product(A,B),product(A,product(product(A,C),B))) <->
% product(product(product(product(A,B),A),product(A,product(B,C))),product(A,B))
% Current number of equations to process: 1593
% Current number of ordered equations: 1
% Current number of rules: 1115
% New rule produced :
% [1129]
% product(product(product(product(A,B),A),product(A,product(B,C))),product(A,B))
% <-> product(product(A,B),product(A,product(product(A,C),B)))
% Current number of equations to process: 1593
% Current number of ordered equations: 0
% Current number of rules: 1116
% New rule produced :
% [1130]
% product(product(A,B),product(A,product(product(C,B),B))) <->
% product(product(product(product(A,B),product(A,C)),product(A,B)),product(A,B))
% Current number of equations to process: 1592
% Current number of ordered equations: 1
% Current number of rules: 1117
% New rule produced :
% [1131]
% product(product(product(product(A,B),product(A,C)),product(A,B)),product(A,B))
% <-> product(product(A,B),product(A,product(product(C,B),B)))
% Current number of equations to process: 1592
% Current number of ordered equations: 0
% Current number of rules: 1118
% New rule produced :
% [1132]
% product(product(A,B),product(product(A,B),product(A,product(C,B)))) <->
% product(product(product(A,B),product(product(A,B),product(A,C))),product(A,B))
% Current number of equations to process: 1589
% Current number of ordered equations: 5
% Current number of rules: 1119
% New rule produced :
% [1133]
% product(product(A,product(B,A)),product(A,product(C,product(B,A)))) <->
% product(product(product(product(A,B),A),product(A,C)),product(A,product(B,A)))
% Current number of equations to process: 1589
% Current number of ordered equations: 4
% Current number of rules: 1120
% New rule produced :
% [1134]
% product(product(A,product(B,A)),product(A,product(C,product(B,A)))) <->
% product(product(product(A,product(B,A)),product(A,C)),product(product(A,B),A))
% Current number of equations to process: 1589
% Current number of ordered equations: 3
% Current number of rules: 1121
% New rule produced :
% [1135]
% product(product(product(product(A,B),A),product(A,C)),product(A,product(B,A)))
% <-> product(product(A,product(B,A)),product(A,product(C,product(B,A))))
% Current number of equations to process: 1589
% Current number of ordered equations: 2
% Current number of rules: 1122
% New rule produced :
% [1136]
% product(product(product(A,product(B,A)),product(A,C)),product(product(A,B),A))
% <-> product(product(A,product(B,A)),product(A,product(C,product(B,A))))
% Current number of equations to process: 1589
% Current number of ordered equations: 1
% Current number of rules: 1123
% New rule produced :
% [1137]
% product(product(product(A,B),product(product(A,B),product(A,C))),product(A,B))
% <-> product(product(A,B),product(product(A,B),product(A,product(C,B))))
% Current number of equations to process: 1589
% Current number of ordered equations: 0
% Current number of rules: 1124
% New rule produced :
% [1138]
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,C))))
% <-> product(product(A,product(B,product(C,D))),product(A,product(B,C)))
% Current number of equations to process: 1588
% Current number of ordered equations: 1
% Current number of rules: 1125
% New rule produced :
% [1139]
% product(product(A,product(B,product(C,D))),product(A,product(B,C))) <->
% product(product(A,product(B,C)),product(A,product(product(B,D),product(B,C))))
% Current number of equations to process: 1588
% Current number of ordered equations: 0
% Current number of rules: 1126
% New rule produced :
% [1140]
% product(product(A,product(B,A)),product(A,product(B,product(C,A)))) <->
% product(product(A,product(product(B,A),product(B,C))),product(product(A,B),A))
% Current number of equations to process: 1587
% Current number of ordered equations: 1
% Current number of rules: 1127
% New rule produced :
% [1141]
% product(product(A,product(product(B,A),product(B,C))),product(product(A,B),A))
% <-> product(product(A,product(B,A)),product(A,product(B,product(C,A))))
% Current number of equations to process: 1587
% Current number of ordered equations: 0
% Current number of rules: 1128
% New rule produced :
% [1142]
% product(A,product(product(B,product(C,B)),A)) <->
% product(product(product(A,product(B,C)),product(A,B)),A)
% Current number of equations to process: 1689
% Current number of ordered equations: 3
% Current number of rules: 1129
% New rule produced :
% [1143]
% product(product(product(A,product(B,C)),product(A,B)),A) <->
% product(A,product(product(B,product(C,B)),A))
% Current number of equations to process: 1689
% Current number of ordered equations: 2
% Current number of rules: 1130
% New rule produced :
% [1144]
% product(A,product(B,product(B,product(C,B)))) <->
% product(product(A,product(B,product(B,C))),product(A,B))
% Current number of equations to process: 1689
% Current number of ordered equations: 1
% Current number of rules: 1131
% New rule produced :
% [1145]
% product(product(A,product(B,product(B,C))),product(A,B)) <->
% product(A,product(B,product(B,product(C,B))))
% Current number of equations to process: 1689
% Current number of ordered equations: 0
% Current number of rules: 1132
% New rule produced :
% [1146]
% product(A,product(product(product(B,C),B),B)) <->
% product(product(A,product(B,product(C,B))),product(A,B))
% Current number of equations to process: 1688
% Current number of ordered equations: 1
% Current number of rules: 1133
% New rule produced :
% [1147]
% product(product(A,product(B,product(C,B))),product(A,B)) <->
% product(A,product(product(product(B,C),B),B))
% Current number of equations to process: 1688
% Current number of ordered equations: 0
% Current number of rules: 1134
% New rule produced :
% [1148]
% product(product(A,B),product(A,product(C,product(B,C)))) <->
% product(product(A,product(product(B,C),B)),product(A,product(B,C)))
% Current number of equations to process: 1687
% Current number of ordered equations: 1
% Current number of rules: 1135
% New rule produced :
% [1149]
% product(product(A,product(product(B,C),B)),product(A,product(B,C))) <->
% product(product(A,B),product(A,product(C,product(B,C))))
% Current number of equations to process: 1687
% Current number of ordered equations: 0
% Current number of rules: 1136
% New rule produced :
% [1150]
% product(A,product(product(B,product(C,D)),product(B,C))) <->
% product(product(A,product(B,C)),product(A,product(B,product(D,C))))
% Rule
% [441]
% product(A,product(product(B,product(C,B)),product(B,C))) <->
% product(product(A,product(B,C)),product(A,product(B,product(B,C))))
% collapsed.
% Current number of equations to process: 1686
% Current number of ordered equations: 1
% Current number of rules: 1136
% New rule produced :
% [1151]
% product(product(A,product(B,C)),product(A,product(B,product(D,C)))) <->
% product(A,product(product(B,product(C,D)),product(B,C)))
% Rule
% [442]
% product(product(A,product(B,C)),product(A,product(B,product(B,C)))) <->
% product(A,product(product(B,product(C,B)),product(B,C))) collapsed.
% Current number of equations to process: 1686
% Current number of ordered equations: 0
% Current number of rules: 1136
% New rule produced :
% [1152]
% product(A,product(B,product(C,product(D,C)))) <->
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,C)))
% Current number of equations to process: 1685
% Current number of ordered equations: 1
% Current number of rules: 1137
% New rule produced :
% [1153]
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,C)))
% <-> product(A,product(B,product(C,product(D,C))))
% Current number of equations to process: 1685
% Current number of ordered equations: 0
% Current number of rules: 1138
% New rule produced :
% [1154]
% product(A,product(product(product(B,product(C,D)),product(B,C)),B)) <->
% product(product(A,B),product(A,product(product(C,product(D,C)),B)))
% Current number of equations to process: 1684
% Current number of ordered equations: 1
% Current number of rules: 1139
% New rule produced :
% [1155]
% product(product(A,B),product(A,product(product(C,product(D,C)),B))) <->
% product(A,product(product(product(B,product(C,D)),product(B,C)),B))
% Current number of equations to process: 1684
% Current number of ordered equations: 0
% Current number of rules: 1140
% New rule produced :
% [1156]
% product(A,product(product(product(product(B,C),product(B,D)),B),A)) <->
% product(product(product(A,B),product(A,product(product(C,D),B))),A)
% Current number of equations to process: 1683
% Current number of ordered equations: 1
% Current number of rules: 1141
% New rule produced :
% [1157]
% product(product(product(A,B),product(A,product(product(C,D),B))),A) <->
% product(A,product(product(product(product(B,C),product(B,D)),B),A))
% Current number of equations to process: 1683
% Current number of ordered equations: 0
% Current number of rules: 1142
% New rule produced :
% [1158]
% product(product(A,B),product(product(A,product(C,B)),D)) <->
% product(product(product(A,product(B,C)),product(A,B)),product(product(A,B),D))
% Rule
% [765]
% product(product(A,B),product(product(A,product(A,B)),C)) <->
% product(product(product(A,product(B,A)),product(A,B)),product(product(A,B),C))
% collapsed.
% Current number of equations to process: 1682
% Current number of ordered equations: 1
% Current number of rules: 1142
% New rule produced :
% [1159]
% product(product(product(A,product(B,C)),product(A,B)),product(product(A,B),D))
% <-> product(product(A,B),product(product(A,product(C,B)),D))
% Rule
% [767]
% product(product(product(A,product(B,A)),product(A,B)),product(product(A,B),C))
% <-> product(product(A,B),product(product(A,product(A,B)),C)) collapsed.
% Current number of equations to process: 1682
% Current number of ordered equations: 0
% Current number of rules: 1142
% New rule produced :
% [1160]
% product(product(A,B),product(C,product(A,product(D,B)))) <->
% product(product(product(A,B),C),product(product(A,product(B,D)),product(A,B)))
% Rule
% [692]
% product(product(A,B),product(C,product(A,product(A,B)))) <->
% product(product(product(A,B),C),product(product(A,product(B,A)),product(A,B)))
% collapsed.
% Current number of equations to process: 1681
% Current number of ordered equations: 1
% Current number of rules: 1142
% New rule produced :
% [1161]
% product(product(product(A,B),C),product(product(A,product(B,D)),product(A,B)))
% <-> product(product(A,B),product(C,product(A,product(D,B))))
% Rule
% [693]
% product(product(product(A,B),C),product(product(A,product(B,A)),product(A,B)))
% <-> product(product(A,B),product(C,product(A,product(A,B)))) collapsed.
% Current number of equations to process: 1681
% Current number of ordered equations: 0
% Current number of rules: 1142
% New rule produced :
% [1162]
% product(A,product(product(B,product(C,B)),product(D,A))) <->
% product(product(product(A,product(B,C)),product(A,B)),product(product(A,D),A))
% Current number of equations to process: 1679
% Current number of ordered equations: 3
% Current number of rules: 1143
% New rule produced :
% [1163]
% product(A,product(B,product(product(C,product(D,C)),A))) <->
% product(product(A,B),product(product(product(A,product(C,D)),product(A,C)),A))
% Current number of equations to process: 1679
% Current number of ordered equations: 2
% Current number of rules: 1144
% New rule produced :
% [1164]
% product(product(A,B),product(product(product(A,product(C,D)),product(A,C)),A))
% <-> product(A,product(B,product(product(C,product(D,C)),A)))
% Current number of equations to process: 1679
% Current number of ordered equations: 1
% Current number of rules: 1145
% New rule produced :
% [1165]
% product(product(product(A,product(B,C)),product(A,B)),product(product(A,D),A))
% <-> product(A,product(product(B,product(C,B)),product(D,A)))
% Current number of equations to process: 1679
% Current number of ordered equations: 0
% Current number of rules: 1146
% New rule produced :
% [1166]
% product(A,product(product(B,A),product(C,product(D,C)))) <->
% product(product(product(A,B),A),product(product(A,product(C,D)),product(A,C)))
% Current number of equations to process: 1677
% Current number of ordered equations: 3
% Current number of rules: 1147
% New rule produced :
% [1167]
% product(A,product(product(product(B,product(C,B)),A),D)) <->
% product(product(product(product(A,product(B,C)),product(A,B)),A),product(A,D))
% Current number of equations to process: 1677
% Current number of ordered equations: 2
% Current number of rules: 1148
% New rule produced :
% [1168]
% product(product(product(A,B),A),product(product(A,product(C,D)),product(A,C)))
% <-> product(A,product(product(B,A),product(C,product(D,C))))
% Current number of equations to process: 1677
% Current number of ordered equations: 1
% Current number of rules: 1149
% New rule produced :
% [1169]
% product(product(product(product(A,product(B,C)),product(A,B)),A),product(A,D))
% <-> product(A,product(product(product(B,product(C,B)),A),D))
% Current number of equations to process: 1677
% Current number of ordered equations: 0
% Current number of rules: 1150
% New rule produced :
% [1170]
% product(product(A,product(B,A)),product(product(C,product(A,B)),product(C,A)))
% <-> product(product(product(A,product(B,A)),C),product(A,product(B,A)))
% Current number of equations to process: 1676
% Current number of ordered equations: 1
% Current number of rules: 1151
% New rule produced :
% [1171]
% product(product(product(A,product(B,A)),C),product(A,product(B,A))) <->
% product(product(A,product(B,A)),product(product(C,product(A,B)),product(C,A)))
% Current number of equations to process: 1676
% Current number of ordered equations: 0
% Current number of rules: 1152
% New rule produced :
% [1172]
% product(A,product(product(B,C),product(product(B,product(D,V_4)),product(B,D))))
% <-> product(product(A,B),product(A,product(C,product(D,product(V_4,D)))))
% Current number of equations to process: 1674
% Current number of ordered equations: 3
% Current number of rules: 1153
% New rule produced :
% [1173]
% product(A,product(product(product(B,product(C,D)),product(B,C)),product(B,V_4)))
% <-> product(product(A,B),product(A,product(product(C,product(D,C)),V_4)))
% Current number of equations to process: 1674
% Current number of ordered equations: 2
% Current number of rules: 1154
% New rule produced :
% [1174]
% product(product(A,B),product(A,product(product(C,product(D,C)),V_4))) <->
% product(A,product(product(product(B,product(C,D)),product(B,C)),product(B,V_4)))
% Current number of equations to process: 1674
% Current number of ordered equations: 1
% Current number of rules: 1155
% New rule produced :
% [1175]
% product(product(A,B),product(A,product(C,product(D,product(V_4,D))))) <->
% product(A,product(product(B,C),product(product(B,product(D,V_4)),product(B,D))))
% Current number of equations to process: 1674
% Current number of ordered equations: 0
% Current number of rules: 1156
% New rule produced :
% [1176]
% product(A,product(product(B,C),product(B,product(D,product(V_4,D))))) <->
% product(product(A,B),product(A,product(product(C,product(D,V_4)),product(C,D))))
% Current number of equations to process: 1673
% Current number of ordered equations: 1
% Current number of rules: 1157
% New rule produced :
% [1177]
% product(product(A,B),product(A,product(product(C,product(D,V_4)),product(C,D))))
% <-> product(A,product(product(B,C),product(B,product(D,product(V_4,D)))))
% Current number of equations to process: 1673
% Current number of ordered equations: 0
% Current number of rules: 1158
% New rule produced :
% [1178]
% product(A,product(product(product(B,product(C,D)),product(B,C)),V_4)) <->
% product(product(product(A,B),product(A,product(C,product(D,C)))),product(A,V_4))
% Current number of equations to process: 1671
% Current number of ordered equations: 3
% Current number of rules: 1159
% New rule produced :
% [1179]
% product(product(product(A,B),product(A,C)),product(A,product(D,product(B,C))))
% <-> product(product(A,product(product(B,C),D)),product(A,product(B,C)))
% Current number of equations to process: 1671
% Current number of ordered equations: 2
% Current number of rules: 1160
% New rule produced :
% [1180]
% product(product(A,product(product(B,C),D)),product(A,product(B,C))) <->
% product(product(product(A,B),product(A,C)),product(A,product(D,product(B,C))))
% Current number of equations to process: 1671
% Current number of ordered equations: 1
% Current number of rules: 1161
% New rule produced :
% [1181]
% product(product(product(A,B),product(A,product(C,product(D,C)))),product(A,V_4))
% <-> product(A,product(product(product(B,product(C,D)),product(B,C)),V_4))
% Current number of equations to process: 1671
% Current number of ordered equations: 0
% Current number of rules: 1162
% New rule produced :
% [1182]
% product(A,product(B,product(product(C,product(D,V_4)),product(C,D)))) <->
% product(product(A,B),product(product(A,C),product(A,product(D,product(V_4,D)))))
% Current number of equations to process: 1670
% Current number of ordered equations: 1
% Current number of rules: 1163
% New rule produced :
% [1183]
% product(product(A,B),product(product(A,C),product(A,product(D,product(V_4,D)))))
% <-> product(A,product(B,product(product(C,product(D,V_4)),product(C,D))))
% Current number of equations to process: 1670
% Current number of ordered equations: 0
% Current number of rules: 1164
% New rule produced :
% [1184]
% product(A,product(B,product(product(C,product(D,V_4)),product(C,D)))) <->
% product(product(A,product(B,C)),product(A,product(B,product(D,product(V_4,D)))))
% Current number of equations to process: 1669
% Current number of ordered equations: 1
% Current number of rules: 1165
% New rule produced :
% [1185]
% product(product(A,product(B,C)),product(A,product(B,product(D,product(V_4,D)))))
% <-> product(A,product(B,product(product(C,product(D,V_4)),product(C,D))))
% Current number of equations to process: 1669
% Current number of ordered equations: 0
% Current number of rules: 1166
% New rule produced :
% [1186]
% product(A,product(B,product(C,product(A,C)))) <->
% product(product(product(A,B),product(product(A,C),A)),product(product(A,B),
% product(A,C)))
% Current number of equations to process: 1668
% Current number of ordered equations: 1
% Current number of rules: 1167
% New rule produced :
% [1187]
% product(product(product(A,B),product(product(A,C),A)),product(product(A,B),
% product(A,C))) <->
% product(A,product(B,product(C,product(A,C))))
% Current number of equations to process: 1668
% Current number of ordered equations: 0
% Current number of rules: 1168
% New rule produced :
% [1188]
% product(A,product(product(product(B,C),A),A)) <->
% product(product(product(product(A,B),product(A,C)),A),A)
% Current number of equations to process: 1781
% Current number of ordered equations: 1
% Current number of rules: 1169
% New rule produced :
% [1189]
% product(product(product(product(A,B),product(A,C)),A),A) <->
% product(A,product(product(product(B,C),A),A))
% Current number of equations to process: 1781
% Current number of ordered equations: 0
% Current number of rules: 1170
% New rule produced :
% [1190]
% product(A,product(B,product(product(C,D),B))) <->
% product(product(A,product(product(B,C),product(B,D))),product(A,B))
% Rule
% [1090]
% product(product(A,B),product(C,product(product(A,B),C))) <->
% product(product(product(A,B),product(product(C,A),product(C,B))),product(
% product(A,B),C))
% collapsed.
% Current number of equations to process: 1780
% Current number of ordered equations: 1
% Current number of rules: 1170
% New rule produced :
% [1191]
% product(product(A,product(product(B,C),product(B,D))),product(A,B)) <->
% product(A,product(B,product(product(C,D),B)))
% Rule
% [1091]
% product(product(product(A,B),product(product(C,A),product(C,B))),product(
% product(A,B),C))
% <-> product(product(A,B),product(C,product(product(A,B),C))) collapsed.
% Current number of equations to process: 1780
% Current number of ordered equations: 0
% Current number of rules: 1170
% New rule produced :
% [1192]
% product(A,product(product(B,product(C,D)),product(B,A))) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),A))
% Current number of equations to process: 1779
% Current number of ordered equations: 1
% Current number of rules: 1171
% New rule produced :
% [1193]
% product(product(A,B),product(product(product(A,C),product(A,D)),A)) <->
% product(A,product(product(B,product(C,D)),product(B,A)))
% Current number of equations to process: 1779
% Current number of ordered equations: 0
% Current number of rules: 1172
% New rule produced :
% [1194]
% product(A,product(product(product(B,C),product(B,D)),B)) <->
% product(product(A,B),product(product(A,product(C,D)),product(A,B)))
% Current number of equations to process: 1778
% Current number of ordered equations: 1
% Current number of rules: 1173
% New rule produced :
% [1195]
% product(product(A,B),product(product(A,product(C,D)),product(A,B))) <->
% product(A,product(product(product(B,C),product(B,D)),B))
% Current number of equations to process: 1778
% Current number of ordered equations: 0
% Current number of rules: 1174
% New rule produced :
% [1196]
% product(A,product(product(product(B,C),product(B,product(D,C))),A)) <->
% product(product(product(A,B),product(A,product(product(C,D),C))),A)
% Current number of equations to process: 1776
% Current number of ordered equations: 3
% Current number of rules: 1175
% New rule produced :
% [1197]
% product(A,product(product(product(product(B,C),product(B,D)),B),B)) <->
% product(product(A,B),product(A,product(product(product(C,D),B),B)))
% Current number of equations to process: 1776
% Current number of ordered equations: 2
% Current number of rules: 1176
% New rule produced :
% [1198]
% product(product(A,B),product(A,product(product(product(C,D),B),B))) <->
% product(A,product(product(product(product(B,C),product(B,D)),B),B))
% Current number of equations to process: 1776
% Current number of ordered equations: 1
% Current number of rules: 1177
% New rule produced :
% [1199]
% product(product(product(A,B),product(A,product(product(C,D),C))),A) <->
% product(A,product(product(product(B,C),product(B,product(D,C))),A))
% Current number of equations to process: 1776
% Current number of ordered equations: 0
% Current number of rules: 1178
% New rule produced :
% [1200]
% product(A,product(product(product(product(B,C),B),product(B,D)),A)) <->
% product(product(product(A,B),product(A,product(product(C,B),D))),A)
% Current number of equations to process: 1775
% Current number of ordered equations: 1
% Current number of rules: 1179
% New rule produced :
% [1201]
% product(product(product(A,B),product(A,product(product(C,B),D))),A) <->
% product(A,product(product(product(product(B,C),B),product(B,D)),A))
% Current number of equations to process: 1775
% Current number of ordered equations: 0
% Current number of rules: 1180
% New rule produced :
% [1202]
% product(A,product(product(product(product(B,C),B),product(B,C)),A)) <->
% product(product(product(A,B),product(A,product(C,product(B,C)))),A)
% Current number of equations to process: 1774
% Current number of ordered equations: 1
% Current number of rules: 1181
% New rule produced :
% [1203]
% product(product(product(A,B),product(A,product(C,product(B,C)))),A) <->
% product(A,product(product(product(product(B,C),B),product(B,C)),A))
% Current number of equations to process: 1774
% Current number of ordered equations: 0
% Current number of rules: 1182
% New rule produced :
% [1204]
% product(A,product(product(product(B,C),product(product(B,D),B)),A)) <->
% product(product(product(A,B),product(A,product(C,product(D,B)))),A)
% Current number of equations to process: 1773
% Current number of ordered equations: 1
% Current number of rules: 1183
% New rule produced :
% [1205]
% product(product(product(A,B),product(A,product(C,product(D,B)))),A) <->
% product(A,product(product(product(B,C),product(product(B,D),B)),A))
% Current number of equations to process: 1773
% Current number of ordered equations: 0
% Current number of rules: 1184
% New rule produced :
% [1206]
% product(A,product(product(product(B,product(C,D)),product(B,C)),A)) <->
% product(product(product(A,B),product(A,product(C,product(D,C)))),A)
% Current number of equations to process: 1772
% Current number of ordered equations: 1
% Current number of rules: 1185
% New rule produced :
% [1207]
% product(product(product(A,B),product(A,product(C,product(D,C)))),A) <->
% product(A,product(product(product(B,product(C,D)),product(B,C)),A))
% Current number of equations to process: 1772
% Current number of ordered equations: 0
% Current number of rules: 1186
% New rule produced :
% [1208]
% product(A,product(product(B,product(product(C,D),C)),A)) <->
% product(product(product(A,product(B,C)),product(A,product(B,product(D,C)))),A)
% Current number of equations to process: 1771
% Current number of ordered equations: 1
% Current number of rules: 1187
% New rule produced :
% [1209]
% product(product(product(A,product(B,C)),product(A,product(B,product(D,C)))),A)
% <-> product(A,product(product(B,product(product(C,D),C)),A))
% Current number of equations to process: 1771
% Current number of ordered equations: 0
% Current number of rules: 1188
% New rule produced :
% [1210]
% product(A,product(product(B,product(C,product(D,B))),A)) <->
% product(product(product(A,product(B,C)),product(A,product(product(B,D),B))),A)
% Current number of equations to process: 1769
% Current number of ordered equations: 3
% Current number of rules: 1189
% New rule produced :
% [1211]
% product(A,product(B,product(product(product(C,D),A),A))) <->
% product(product(A,B),product(product(product(product(A,C),product(A,D)),A),A))
% Current number of equations to process: 1769
% Current number of ordered equations: 2
% Current number of rules: 1190
% New rule produced :
% [1212]
% product(product(A,B),product(product(product(product(A,C),product(A,D)),A),A))
% <-> product(A,product(B,product(product(product(C,D),A),A)))
% Current number of equations to process: 1769
% Current number of ordered equations: 1
% Current number of rules: 1191
% New rule produced :
% [1213]
% product(product(product(A,product(B,C)),product(A,product(product(B,D),B))),A)
% <-> product(A,product(product(B,product(C,product(D,B))),A))
% Current number of equations to process: 1769
% Current number of ordered equations: 0
% Current number of rules: 1192
% New rule produced :
% [1214]
% product(A,product(product(B,product(C,product(B,C))),A)) <->
% product(product(product(A,product(product(B,C),B)),product(A,product(B,C))),A)
% Current number of equations to process: 1768
% Current number of ordered equations: 1
% Current number of rules: 1193
% New rule produced :
% [1215]
% product(product(product(A,product(product(B,C),B)),product(A,product(B,C))),A)
% <-> product(A,product(product(B,product(C,product(B,C))),A))
% Current number of equations to process: 1768
% Current number of ordered equations: 0
% Current number of rules: 1194
% New rule produced :
% [1216]
% product(A,product(product(B,product(product(C,B),D)),A)) <->
% product(product(product(A,product(product(B,C),B)),product(A,product(B,D))),A)
% Current number of equations to process: 1766
% Current number of ordered equations: 3
% Current number of rules: 1195
% New rule produced :
% [1217]
% product(A,product(product(product(product(B,C),A),A),D)) <->
% product(product(product(product(product(A,B),product(A,C)),A),A),product(A,D))
% Current number of equations to process: 1766
% Current number of ordered equations: 2
% Current number of rules: 1196
% New rule produced :
% [1218]
% product(product(product(product(product(A,B),product(A,C)),A),A),product(A,D))
% <-> product(A,product(product(product(product(B,C),A),A),D))
% Current number of equations to process: 1766
% Current number of ordered equations: 1
% Current number of rules: 1197
% New rule produced :
% [1219]
% product(product(product(A,product(product(B,C),B)),product(A,product(B,D))),A)
% <-> product(A,product(product(B,product(product(C,B),D)),A))
% Current number of equations to process: 1766
% Current number of ordered equations: 0
% Current number of rules: 1198
% New rule produced :
% [1220]
% product(A,product(product(B,C),product(product(product(B,D),product(B,V_4)),B)))
% <-> product(product(A,B),product(A,product(C,product(product(D,V_4),B))))
% Current number of equations to process: 1763
% Current number of ordered equations: 5
% Current number of rules: 1199
% New rule produced :
% [1221]
% product(A,product(product(product(B,C),product(B,product(D,V_4))),A)) <->
% product(product(product(A,B),product(A,product(product(C,D),product(C,V_4)))),A)
% Current number of equations to process: 1763
% Current number of ordered equations: 4
% Current number of rules: 1200
% New rule produced :
% [1222]
% product(A,product(product(product(product(B,C),product(B,D)),B),product(B,V_4)))
% <-> product(product(A,B),product(A,product(product(product(C,D),B),V_4)))
% Current number of equations to process: 1763
% Current number of ordered equations: 3
% Current number of rules: 1201
% New rule produced :
% [1223]
% product(product(A,B),product(A,product(product(product(C,D),B),V_4))) <->
% product(A,product(product(product(product(B,C),product(B,D)),B),product(B,V_4)))
% Current number of equations to process: 1763
% Current number of ordered equations: 2
% Current number of rules: 1202
% New rule produced :
% [1224]
% product(product(A,B),product(A,product(C,product(product(D,V_4),B)))) <->
% product(A,product(product(B,C),product(product(product(B,D),product(B,V_4)),B)))
% Current number of equations to process: 1763
% Current number of ordered equations: 1
% Current number of rules: 1203
% New rule produced :
% [1225]
% product(product(product(A,B),product(A,product(product(C,D),product(C,V_4)))),A)
% <-> product(A,product(product(product(B,C),product(B,product(D,V_4))),A))
% Current number of equations to process: 1763
% Current number of ordered equations: 0
% Current number of rules: 1204
% New rule produced :
% [1226]
% product(A,product(product(B,product(product(C,D),product(C,V_4))),A)) <->
% product(product(product(A,product(B,C)),product(A,product(B,product(D,V_4)))),A)
% Current number of equations to process: 1761
% Current number of ordered equations: 3
% Current number of rules: 1205
% New rule produced :
% [1227]
% product(A,product(product(B,C),product(B,product(product(D,V_4),C)))) <->
% product(product(A,B),product(A,product(product(product(C,D),product(C,V_4)),C)))
% Current number of equations to process: 1761
% Current number of ordered equations: 2
% Current number of rules: 1206
% New rule produced :
% [1228]
% product(product(A,B),product(A,product(product(product(C,D),product(C,V_4)),C)))
% <-> product(A,product(product(B,C),product(B,product(product(D,V_4),C))))
% Current number of equations to process: 1761
% Current number of ordered equations: 1
% Current number of rules: 1207
% New rule produced :
% [1229]
% product(product(product(A,product(B,C)),product(A,product(B,product(D,V_4)))),A)
% <-> product(A,product(product(B,product(product(C,D),product(C,V_4))),A))
% Current number of equations to process: 1761
% Current number of ordered equations: 0
% Current number of rules: 1208
% New rule produced :
% [1230]
% product(A,product(product(product(product(B,C),product(B,D)),product(B,V_4)),A))
% <-> product(product(product(A,B),product(A,product(product(C,D),V_4))),A)
% Current number of equations to process: 1759
% Current number of ordered equations: 3
% Current number of rules: 1209
% New rule produced :
% [1231]
% product(A,product(product(product(product(B,C),product(B,D)),B),V_4)) <->
% product(product(product(A,B),product(A,product(product(C,D),B))),product(A,V_4))
% Current number of equations to process: 1759
% Current number of ordered equations: 2
% Current number of rules: 1210
% New rule produced :
% [1232]
% product(product(product(A,B),product(A,product(product(C,D),B))),product(A,V_4))
% <-> product(A,product(product(product(product(B,C),product(B,D)),B),V_4))
% Current number of equations to process: 1759
% Current number of ordered equations: 1
% Current number of rules: 1211
% New rule produced :
% [1233]
% product(product(product(A,B),product(A,product(product(C,D),V_4))),A) <->
% product(A,product(product(product(product(B,C),product(B,D)),product(B,V_4)),A))
% Current number of equations to process: 1759
% Current number of ordered equations: 0
% Current number of rules: 1212
% New rule produced :
% [1234]
% product(A,product(B,product(product(product(C,D),product(C,V_4)),C))) <->
% product(product(A,B),product(product(A,C),product(A,product(product(D,V_4),C))))
% Current number of equations to process: 1757
% Current number of ordered equations: 3
% Current number of rules: 1213
% New rule produced :
% [1235]
% product(A,product(product(product(B,C),product(product(B,D),product(B,V_4))),A))
% <-> product(product(product(A,B),product(A,product(C,product(D,V_4)))),A)
% Current number of equations to process: 1757
% Current number of ordered equations: 2
% Current number of rules: 1214
% New rule produced :
% [1236]
% product(product(A,B),product(product(A,C),product(A,product(product(D,V_4),C))))
% <-> product(A,product(B,product(product(product(C,D),product(C,V_4)),C)))
% Current number of equations to process: 1757
% Current number of ordered equations: 1
% Current number of rules: 1215
% New rule produced :
% [1237]
% product(product(product(A,B),product(A,product(C,product(D,V_4)))),A) <->
% product(A,product(product(product(B,C),product(product(B,D),product(B,V_4))),A))
% Current number of equations to process: 1757
% Current number of ordered equations: 0
% Current number of rules: 1216
% New rule produced :
% [1238]
% product(A,product(B,product(product(product(C,D),product(C,V_4)),C))) <->
% product(product(A,product(B,C)),product(A,product(B,product(product(D,V_4),C))))
% Current number of equations to process: 1755
% Current number of ordered equations: 3
% Current number of rules: 1217
% New rule produced :
% [1239]
% product(A,product(product(product(B,product(C,D)),product(B,product(C,V_4))),A))
% <-> product(product(product(A,B),product(A,product(C,product(D,V_4)))),A)
% Current number of equations to process: 1755
% Current number of ordered equations: 2
% Current number of rules: 1218
% New rule produced :
% [1240]
% product(product(A,product(B,C)),product(A,product(B,product(product(D,V_4),C))))
% <-> product(A,product(B,product(product(product(C,D),product(C,V_4)),C)))
% Current number of equations to process: 1755
% Current number of ordered equations: 1
% Current number of rules: 1219
% New rule produced :
% [1241]
% product(product(product(A,B),product(A,product(C,product(D,V_4)))),A) <->
% product(A,product(product(product(B,product(C,D)),product(B,product(C,V_4))),A))
% Current number of equations to process: 1755
% Current number of ordered equations: 0
% Current number of rules: 1220
% New rule produced :
% [1242]
% product(A,product(product(B,C),product(D,A))) <->
% product(product(A,product(product(B,C),D)),product(product(product(A,B),
% product(A,C)),A))
% Current number of equations to process: 1753
% Current number of ordered equations: 3
% Current number of rules: 1221
% New rule produced :
% [1243]
% product(A,product(product(B,C),product(A,D))) <->
% product(product(product(product(A,B),product(A,C)),A),product(A,product(
% product(B,C),D)))
% Current number of equations to process: 1753
% Current number of ordered equations: 2
% Current number of rules: 1222
% New rule produced :
% [1244]
% product(product(A,product(product(B,C),D)),product(product(product(A,B),
% product(A,C)),A)) <->
% product(A,product(product(B,C),product(D,A)))
% Current number of equations to process: 1753
% Current number of ordered equations: 1
% Current number of rules: 1223
% New rule produced :
% [1245]
% product(product(product(product(A,B),product(A,C)),A),product(A,product(
% product(B,C),D)))
% <-> product(A,product(product(B,C),product(A,D)))
% Current number of equations to process: 1753
% Current number of ordered equations: 0
% Current number of rules: 1224
% New rule produced :
% [1246]
% product(product(product(product(A,B),product(A,C)),A),product(product(A,
% product(B,C)),D))
% -> product(product(A,product(B,C)),product(A,D))
% Current number of equations to process: 1752
% Current number of ordered equations: 0
% Current number of rules: 1225
% New rule produced :
% [1247]
% product(product(product(A,product(B,C)),D),product(product(product(A,B),
% product(A,C)),A)) ->
% product(product(A,product(B,C)),product(D,A))
% Current number of equations to process: 1751
% Current number of ordered equations: 0
% Current number of rules: 1226
% New rule produced :
% [1248]
% product(A,product(product(product(product(B,C),C),product(B,C)),A)) <->
% product(product(product(A,product(B,C)),product(A,product(product(C,B),C))),A)
% Current number of equations to process: 1750
% Current number of ordered equations: 1
% Current number of rules: 1227
% New rule produced :
% [1249]
% product(product(product(A,product(B,C)),product(A,product(product(C,B),C))),A)
% <-> product(A,product(product(product(product(B,C),C),product(B,C)),A))
% Current number of equations to process: 1750
% Current number of ordered equations: 0
% Current number of rules: 1228
% New rule produced :
% [1250]
% product(A,product(product(product(B,C),product(product(C,B),C)),A)) <->
% product(product(product(A,product(product(B,C),C)),product(A,product(B,C))),A)
% Current number of equations to process: 1749
% Current number of ordered equations: 1
% Current number of rules: 1229
% New rule produced :
% [1251]
% product(product(product(A,product(product(B,C),C)),product(A,product(B,C))),A)
% <-> product(A,product(product(product(B,C),product(product(C,B),C)),A))
% Current number of equations to process: 1749
% Current number of ordered equations: 0
% Current number of rules: 1230
% New rule produced :
% [1252]
% product(A,product(product(B,product(C,B)),A)) <->
% product(product(A,product(product(B,C),B)),A)
% Current number of equations to process: 1831
% Current number of ordered equations: 1
% Current number of rules: 1231
% New rule produced :
% [1253]
% product(product(A,product(product(B,C),B)),A) <->
% product(A,product(product(B,product(C,B)),A))
% Current number of equations to process: 1831
% Current number of ordered equations: 0
% Current number of rules: 1232
% New rule produced :
% [1254]
% product(A,product(product(B,product(C,D)),A)) <->
% product(product(A,product(product(B,C),product(B,D))),A)
% Current number of equations to process: 1848
% Current number of ordered equations: 1
% Current number of rules: 1233
% New rule produced :
% [1255]
% product(product(A,product(product(B,C),product(B,D))),A) <->
% product(A,product(product(B,product(C,D)),A))
% Current number of equations to process: 1848
% Current number of ordered equations: 0
% Current number of rules: 1234
% New rule produced :
% [1256]
% product(A,product(product(product(B,C),product(B,D)),A)) <->
% product(product(A,product(B,product(C,D))),A)
% Rule
% [1113]
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,B)))
% <-> product(product(product(A,B),product(A,product(C,D))),product(A,B))
% collapsed.
% Current number of equations to process: 1847
% Current number of ordered equations: 1
% Current number of rules: 1234
% New rule produced :
% [1257]
% product(product(A,product(B,product(C,D))),A) <->
% product(A,product(product(product(B,C),product(B,D)),A))
% Rule
% [1115]
% product(product(product(A,B),product(A,product(C,D))),product(A,B)) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),product(A,B)))
% collapsed.
% Current number of equations to process: 1847
% Current number of ordered equations: 0
% Current number of rules: 1234
% New rule produced :
% [1258]
% product(A,product(A,product(product(B,C),A))) <->
% product(product(product(A,product(A,B)),product(A,product(A,C))),A)
% Current number of equations to process: 1846
% Current number of ordered equations: 1
% Current number of rules: 1235
% New rule produced :
% [1259]
% product(product(product(A,product(A,B)),product(A,product(A,C))),A) <->
% product(A,product(A,product(product(B,C),A)))
% Current number of equations to process: 1846
% Current number of ordered equations: 0
% Current number of rules: 1236
% New rule produced :
% [1260]
% product(A,product(product(B,product(A,C)),A)) <->
% product(product(product(product(A,B),A),product(A,product(B,C))),A)
% Current number of equations to process: 1845
% Current number of ordered equations: 1
% Current number of rules: 1237
% New rule produced :
% [1261]
% product(product(product(product(A,B),A),product(A,product(B,C))),A) <->
% product(A,product(product(B,product(A,C)),A))
% Current number of equations to process: 1845
% Current number of ordered equations: 0
% Current number of rules: 1238
% New rule produced :
% [1262]
% product(A,product(product(B,product(C,B)),A)) <->
% product(product(product(product(A,B),product(A,C)),product(A,B)),A)
% Current number of equations to process: 1844
% Current number of ordered equations: 1
% Current number of rules: 1239
% New rule produced :
% [1263]
% product(product(product(product(A,B),product(A,C)),product(A,B)),A) <->
% product(A,product(product(B,product(C,B)),A))
% Current number of equations to process: 1844
% Current number of ordered equations: 0
% Current number of rules: 1240
% New rule produced :
% [1264]
% product(A,product(B,product(product(C,D),B))) <->
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(A,B))
% Current number of equations to process: 1842
% Current number of ordered equations: 1
% Current number of rules: 1241
% New rule produced :
% [1265]
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(A,B))
% <-> product(A,product(B,product(product(C,D),B)))
% Current number of equations to process: 1842
% Current number of ordered equations: 0
% Current number of rules: 1242
% New rule produced :
% [1266]
% product(A,product(product(B,C),product(product(B,D),product(B,C)))) <->
% product(product(A,product(B,product(C,D))),product(A,product(B,C)))
% Current number of equations to process: 1841
% Current number of ordered equations: 1
% Current number of rules: 1243
% New rule produced :
% [1267]
% product(product(A,product(B,product(C,D))),product(A,product(B,C))) <->
% product(A,product(product(B,C),product(product(B,D),product(B,C))))
% Current number of equations to process: 1841
% Current number of ordered equations: 0
% Current number of rules: 1244
% New rule produced :
% [1268]
% product(A,product(product(B,product(product(C,D),C)),A)) <->
% product(product(product(A,B),product(product(A,C),product(A,product(D,C)))),A)
% Current number of equations to process: 1839
% Current number of ordered equations: 3
% Current number of rules: 1245
% New rule produced :
% [1269]
% product(A,product(product(product(product(B,C),B),D),A)) <->
% product(product(product(product(A,B),product(A,product(C,B))),product(A,D)),A)
% Current number of equations to process: 1839
% Current number of ordered equations: 2
% Current number of rules: 1246
% New rule produced :
% [1270]
% product(product(product(A,B),product(product(A,C),product(A,product(D,C)))),A)
% <-> product(A,product(product(B,product(product(C,D),C)),A))
% Current number of equations to process: 1839
% Current number of ordered equations: 1
% Current number of rules: 1247
% New rule produced :
% [1271]
% product(product(product(product(A,B),product(A,product(C,B))),product(A,D)),A)
% <-> product(A,product(product(product(product(B,C),B),D),A))
% Current number of equations to process: 1839
% Current number of ordered equations: 0
% Current number of rules: 1248
% New rule produced :
% [1272]
% product(product(product(A,B),product(product(product(A,C),A),product(A,D))),A)
% <-> product(A,product(product(B,product(product(C,A),D)),A))
% Current number of equations to process: 1837
% Current number of ordered equations: 3
% Current number of rules: 1249
% New rule produced :
% [1273]
% product(A,product(product(product(product(B,A),C),D),A)) <->
% product(product(product(product(product(A,B),A),product(A,C)),product(A,D)),A)
% Current number of equations to process: 1837
% Current number of ordered equations: 2
% Current number of rules: 1250
% New rule produced :
% [1274]
% product(A,product(product(B,product(product(C,A),D)),A)) <->
% product(product(product(A,B),product(product(product(A,C),A),product(A,D))),A)
% Current number of equations to process: 1837
% Current number of ordered equations: 1
% Current number of rules: 1251
% New rule produced :
% [1275]
% product(product(product(product(product(A,B),A),product(A,C)),product(A,D)),A)
% <-> product(A,product(product(product(product(B,A),C),D),A))
% Current number of equations to process: 1837
% Current number of ordered equations: 0
% Current number of rules: 1252
% New rule produced :
% [1276]
% product(product(product(A,B),product(product(product(A,C),A),product(A,C))),A)
% <-> product(A,product(product(B,product(C,product(A,C))),A))
% Current number of equations to process: 1835
% Current number of ordered equations: 3
% Current number of rules: 1253
% New rule produced :
% [1277]
% product(A,product(product(product(B,product(A,B)),C),A)) <->
% product(product(product(product(product(A,B),A),product(A,B)),product(A,C)),A)
% Current number of equations to process: 1835
% Current number of ordered equations: 2
% Current number of rules: 1254
% New rule produced :
% [1278]
% product(A,product(product(B,product(C,product(A,C))),A)) <->
% product(product(product(A,B),product(product(product(A,C),A),product(A,C))),A)
% Current number of equations to process: 1835
% Current number of ordered equations: 1
% Current number of rules: 1255
% New rule produced :
% [1279]
% product(product(product(product(product(A,B),A),product(A,B)),product(A,C)),A)
% <-> product(A,product(product(product(B,product(A,B)),C),A))
% Current number of equations to process: 1835
% Current number of ordered equations: 0
% Current number of rules: 1256
% New rule produced :
% [1280]
% product(A,product(product(product(B,product(C,A)),D),A)) <->
% product(product(product(product(A,B),product(product(A,C),A)),product(A,D)),A)
% Current number of equations to process: 1833
% Current number of ordered equations: 3
% Current number of rules: 1257
% New rule produced :
% [1281]
% product(A,product(product(B,product(C,product(D,A))),A)) <->
% product(product(product(A,B),product(product(A,C),product(product(A,D),A))),A)
% Current number of equations to process: 1833
% Current number of ordered equations: 2
% Current number of rules: 1258
% New rule produced :
% [1282]
% product(product(product(product(A,B),product(product(A,C),A)),product(A,D)),A)
% <-> product(A,product(product(product(B,product(C,A)),D),A))
% Current number of equations to process: 1833
% Current number of ordered equations: 1
% Current number of rules: 1259
% New rule produced :
% [1283]
% product(product(product(A,B),product(product(A,C),product(product(A,D),A))),A)
% <-> product(A,product(product(B,product(C,product(D,A))),A))
% Current number of equations to process: 1833
% Current number of ordered equations: 0
% Current number of rules: 1260
% New rule produced :
% [1284]
% product(A,product(product(product(B,product(C,B)),D),A)) <->
% product(product(product(product(A,product(B,C)),product(A,B)),product(A,D)),A)
% Current number of equations to process: 1831
% Current number of ordered equations: 3
% Current number of rules: 1261
% New rule produced :
% [1285]
% product(A,product(product(B,product(C,product(D,C))),A)) <->
% product(product(product(A,B),product(product(A,product(C,D)),product(A,C))),A)
% Current number of equations to process: 1831
% Current number of ordered equations: 2
% Current number of rules: 1262
% New rule produced :
% [1286]
% product(product(product(A,B),product(product(A,product(C,D)),product(A,C))),A)
% <-> product(A,product(product(B,product(C,product(D,C))),A))
% Current number of equations to process: 1831
% Current number of ordered equations: 1
% Current number of rules: 1263
% New rule produced :
% [1287]
% product(product(product(product(A,product(B,C)),product(A,B)),product(A,D)),A)
% <-> product(A,product(product(product(B,product(C,B)),D),A))
% Current number of equations to process: 1831
% Current number of ordered equations: 0
% Current number of rules: 1264
% New rule produced :
% [1288]
% product(A,product(product(B,product(product(C,D),B)),A)) <->
% product(product(product(A,product(product(B,C),product(B,D))),product(A,B)),A)
% Current number of equations to process: 1828
% Current number of ordered equations: 5
% Current number of rules: 1265
% New rule produced :
% [1289]
% product(A,product(product(product(product(B,C),A),D),A)) <->
% product(product(product(product(product(A,B),product(A,C)),A),product(A,D)),A)
% Current number of equations to process: 1828
% Current number of ordered equations: 4
% Current number of rules: 1266
% New rule produced :
% [1290]
% product(A,product(product(B,product(product(C,D),A)),A)) <->
% product(product(product(A,B),product(product(product(A,C),product(A,D)),A)),A)
% Current number of equations to process: 1828
% Current number of ordered equations: 3
% Current number of rules: 1267
% New rule produced :
% [1291]
% product(product(product(product(product(A,B),product(A,C)),A),product(A,D)),A)
% <-> product(A,product(product(product(product(B,C),A),D),A))
% Current number of equations to process: 1828
% Current number of ordered equations: 2
% Current number of rules: 1268
% New rule produced :
% [1292]
% product(product(product(A,product(product(B,C),product(B,D))),product(A,B)),A)
% <-> product(A,product(product(B,product(product(C,D),B)),A))
% Current number of equations to process: 1828
% Current number of ordered equations: 1
% Current number of rules: 1269
% New rule produced :
% [1293]
% product(product(product(A,B),product(product(product(A,C),product(A,D)),A)),A)
% <-> product(A,product(product(B,product(product(C,D),A)),A))
% Current number of equations to process: 1828
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [1294]
% product(A,product(product(B,product(product(C,D),product(C,V_4))),A)) <->
% product(product(product(A,B),product(product(A,C),product(A,product(D,V_4)))),A)
% Current number of equations to process: 1826
% Current number of ordered equations: 3
% Current number of rules: 1271
% New rule produced :
% [1295]
% product(A,product(product(product(product(B,C),product(B,D)),V_4),A)) <->
% product(product(product(product(A,B),product(A,product(C,D))),product(A,V_4)),A)
% Current number of equations to process: 1826
% Current number of ordered equations: 2
% Current number of rules: 1272
% New rule produced :
% [1296]
% product(product(product(product(A,B),product(A,product(C,D))),product(A,V_4)),A)
% <-> product(A,product(product(product(product(B,C),product(B,D)),V_4),A))
% Current number of equations to process: 1826
% Current number of ordered equations: 1
% Current number of rules: 1273
% New rule produced :
% [1297]
% product(product(product(A,B),product(product(A,C),product(A,product(D,V_4)))),A)
% <-> product(A,product(product(B,product(product(C,D),product(C,V_4))),A))
% Current number of equations to process: 1826
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [1298]
% product(A,product(product(B,product(product(C,D),product(C,V_4))),product(B,C)))
% <-> product(product(A,B),product(A,product(C,product(product(D,V_4),C))))
% Current number of equations to process: 1825
% Current number of ordered equations: 1
% Current number of rules: 1275
% New rule produced :
% [1299]
% product(product(A,B),product(A,product(C,product(product(D,V_4),C)))) <->
% product(A,product(product(B,product(product(C,D),product(C,V_4))),product(B,C)))
% Current number of equations to process: 1825
% Current number of ordered equations: 0
% Current number of rules: 1276
% New rule produced :
% [1300]
% product(A,product(product(B,product(C,D)),A)) <->
% product(product(product(product(A,B),product(A,C)),product(product(A,B),
% product(A,D))),A)
% Current number of equations to process: 1824
% Current number of ordered equations: 1
% Current number of rules: 1277
% New rule produced :
% [1301]
% product(product(product(product(A,B),product(A,C)),product(product(A,B),
% product(A,D))),A) <->
% product(A,product(product(B,product(C,D)),A))
% Current number of equations to process: 1824
% Current number of ordered equations: 0
% Current number of rules: 1278
% New rule produced :
% [1302]
% product(A,product(product(product(B,product(B,C)),product(B,product(B,D))),B))
% <-> product(product(A,B),product(A,product(B,product(product(C,D),B))))
% Current number of equations to process: 1823
% Current number of ordered equations: 1
% Current number of rules: 1279
% New rule produced :
% [1303]
% product(product(A,B),product(A,product(B,product(product(C,D),B)))) <->
% product(A,product(product(product(B,product(B,C)),product(B,product(B,D))),B))
% Current number of equations to process: 1823
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [1304]
% product(A,product(product(product(B,C),B),A)) <->
% product(product(A,product(B,product(C,B))),A)
% Rule
% [1104]
% product(product(A,B),product(product(product(A,C),A),product(A,B))) <->
% product(product(product(A,B),product(A,product(C,A))),product(A,B))
% collapsed.
% Current number of equations to process: 1955
% Current number of ordered equations: 1
% Current number of rules: 1280
% New rule produced :
% [1305]
% product(product(A,product(B,product(C,B))),A) <->
% product(A,product(product(product(B,C),B),A))
% Rule
% [1105]
% product(product(product(A,B),product(A,product(C,A))),product(A,B)) <->
% product(product(A,B),product(product(product(A,C),A),product(A,B)))
% collapsed.
% Current number of equations to process: 1955
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [1306]
% product(A,product(B,product(product(C,B),B))) <->
% product(product(A,product(product(B,C),B)),product(A,B))
% Current number of equations to process: 1954
% Current number of ordered equations: 1
% Current number of rules: 1281
% New rule produced :
% [1307]
% product(product(A,product(product(B,C),B)),product(A,B)) <->
% product(A,product(B,product(product(C,B),B)))
% Current number of equations to process: 1954
% Current number of ordered equations: 0
% Current number of rules: 1282
% New rule produced :
% [1308]
% product(A,product(product(product(B,C),B),D)) <->
% product(product(A,product(B,product(C,B))),product(A,D))
% Rule
% [539]
% product(A,product(product(product(B,C),B),product(B,D))) <->
% product(product(A,product(B,product(C,B))),product(A,product(B,D)))
% collapsed.
% Rule
% [1146]
% product(A,product(product(product(B,C),B),B)) <->
% product(product(A,product(B,product(C,B))),product(A,B)) collapsed.
% Current number of equations to process: 1953
% Current number of ordered equations: 1
% Current number of rules: 1281
% New rule produced :
% [1309]
% product(product(A,product(B,product(C,B))),product(A,D)) <->
% product(A,product(product(product(B,C),B),D))
% Rule
% [540]
% product(product(A,product(B,product(C,B))),product(A,product(B,D))) <->
% product(A,product(product(product(B,C),B),product(B,D))) collapsed.
% Rule
% [1147]
% product(product(A,product(B,product(C,B))),product(A,B)) <->
% product(A,product(product(product(B,C),B),B)) collapsed.
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [1310]
% product(A,product(B,product(product(A,B),B))) <->
% product(product(product(product(A,B),A),product(A,B)),product(A,B))
% Current number of equations to process: 1952
% Current number of ordered equations: 1
% Current number of rules: 1281
% New rule produced :
% [1311]
% product(product(product(product(A,B),A),product(A,B)),product(A,B)) <->
% product(A,product(B,product(product(A,B),B)))
% Current number of equations to process: 1952
% Current number of ordered equations: 0
% Current number of rules: 1282
% New rule produced :
% [1312]
% product(A,product(B,product(A,product(C,A)))) <->
% product(product(A,product(B,product(A,C))),product(product(A,B),A))
% Current number of equations to process: 1950
% Current number of ordered equations: 3
% Current number of rules: 1283
% New rule produced :
% [1313]
% product(A,product(B,product(product(C,A),B))) <->
% product(product(product(A,B),product(product(A,C),A)),product(A,B))
% Current number of equations to process: 1950
% Current number of ordered equations: 2
% Current number of rules: 1284
% New rule produced :
% [1314]
% product(product(product(A,B),product(product(A,C),A)),product(A,B)) <->
% product(A,product(B,product(product(C,A),B)))
% Current number of equations to process: 1950
% Current number of ordered equations: 1
% Current number of rules: 1285
% New rule produced :
% [1315]
% product(product(A,product(B,product(A,C))),product(product(A,B),A)) <->
% product(A,product(B,product(A,product(C,A))))
% Current number of equations to process: 1950
% Current number of ordered equations: 0
% Current number of rules: 1286
% New rule produced :
% [1316]
% product(A,product(B,product(product(C,B),B))) <->
% product(product(product(A,product(B,C)),product(A,B)),product(A,B))
% Current number of equations to process: 1949
% Current number of ordered equations: 1
% Current number of rules: 1287
% New rule produced :
% [1317]
% product(product(product(A,product(B,C)),product(A,B)),product(A,B)) <->
% product(A,product(B,product(product(C,B),B)))
% Current number of equations to process: 1949
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [1318]
% product(product(A,B),product(A,product(product(C,B),A))) <->
% product(product(A,product(product(B,C),B)),product(product(A,B),A))
% Rule
% [755]
% product(product(A,B),product(A,product(product(A,B),A))) <->
% product(product(A,product(product(B,A),B)),product(product(A,B),A))
% collapsed.
% Current number of equations to process: 1948
% Current number of ordered equations: 1
% Current number of rules: 1288
% New rule produced :
% [1319]
% product(product(A,product(product(B,C),B)),product(product(A,B),A)) <->
% product(product(A,B),product(A,product(product(C,B),A)))
% Rule
% [756]
% product(product(A,product(product(B,A),B)),product(product(A,B),A)) <->
% product(product(A,B),product(A,product(product(A,B),A))) collapsed.
% Current number of equations to process: 1948
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [1320]
% product(A,product(B,product(C,product(D,C)))) <->
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,C)))
% Current number of equations to process: 1947
% Current number of ordered equations: 1
% Current number of rules: 1289
% New rule produced :
% [1321]
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,C)))
% <-> product(A,product(B,product(C,product(D,C))))
% Current number of equations to process: 1947
% Current number of ordered equations: 0
% Current number of rules: 1290
% New rule produced :
% [1322]
% product(A,product(B,product(C,product(D,C)))) <->
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,C)))
% Current number of equations to process: 1945
% Current number of ordered equations: 3
% Current number of rules: 1291
% New rule produced :
% [1323]
% product(A,product(B,product(product(C,D),B))) <->
% product(product(product(A,B),product(product(A,C),product(A,D))),product(A,B))
% Current number of equations to process: 1945
% Current number of ordered equations: 2
% Current number of rules: 1292
% New rule produced :
% [1324]
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,C)))
% <-> product(A,product(B,product(C,product(D,C))))
% Current number of equations to process: 1945
% Current number of ordered equations: 1
% Current number of rules: 1293
% New rule produced :
% [1325]
% product(product(product(A,B),product(product(A,C),product(A,D))),product(A,B))
% <-> product(A,product(B,product(product(C,D),B)))
% Current number of equations to process: 1945
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced :
% [1326]
% product(product(product(A,B),A),product(C,product(A,product(B,A)))) <->
% product(product(product(product(A,B),A),C),product(product(A,B),A))
% Current number of equations to process: 1944
% Current number of ordered equations: 1
% Current number of rules: 1295
% New rule produced :
% [1327]
% product(product(product(product(A,B),A),C),product(product(A,B),A)) <->
% product(product(product(A,B),A),product(C,product(A,product(B,A))))
% Current number of equations to process: 1944
% Current number of ordered equations: 0
% Current number of rules: 1296
% New rule produced :
% [1328]
% product(product(A,product(B,C)),product(A,product(B,product(B,C)))) <->
% product(product(A,product(B,product(C,B))),product(A,product(B,C)))
% Current number of equations to process: 1943
% Current number of ordered equations: 1
% Current number of rules: 1297
% New rule produced :
% [1329]
% product(product(A,product(B,product(C,B))),product(A,product(B,C))) <->
% product(product(A,product(B,C)),product(A,product(B,product(B,C))))
% Current number of equations to process: 1943
% Current number of ordered equations: 0
% Current number of rules: 1298
% New rule produced :
% [1330]
% product(product(A,B),product(A,product(product(C,D),A))) <->
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),A))
% Current number of equations to process: 1942
% Current number of ordered equations: 1
% Current number of rules: 1299
% New rule produced :
% [1331]
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),A))
% <-> product(product(A,B),product(A,product(product(C,D),A)))
% Current number of equations to process: 1942
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [1332]
% product(product(A,B),product(A,product(C,product(D,C)))) <->
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,C)))
% Current number of equations to process: 1941
% Current number of ordered equations: 1
% Current number of rules: 1301
% New rule produced :
% [1333]
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,C)))
% <-> product(product(A,B),product(A,product(C,product(D,C))))
% Current number of equations to process: 1941
% Current number of ordered equations: 0
% Current number of rules: 1302
% New rule produced :
% [1334]
% product(product(A,B),product(A,product(C,product(D,C)))) <->
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,C)))
% Current number of equations to process: 1940
% Current number of ordered equations: 1
% Current number of rules: 1303
% New rule produced :
% [1335]
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,C)))
% <-> product(product(A,B),product(A,product(C,product(D,C))))
% Current number of equations to process: 1940
% Current number of ordered equations: 0
% Current number of rules: 1304
% New rule produced :
% [1336]
% product(A,product(product(B,C),product(B,product(B,C)))) <->
% product(product(product(A,B),product(A,product(C,B))),product(A,product(B,C)))
% Current number of equations to process: 1938
% Current number of ordered equations: 3
% Current number of rules: 1305
% New rule produced :
% [1337]
% product(A,product(B,product(product(product(C,D),C),B))) <->
% product(product(A,product(product(B,C),product(B,product(D,C)))),product(A,B))
% Current number of equations to process: 1938
% Current number of ordered equations: 2
% Current number of rules: 1306
% New rule produced :
% [1338]
% product(product(product(A,B),product(A,product(C,B))),product(A,product(B,C)))
% <-> product(A,product(product(B,C),product(B,product(B,C))))
% Current number of equations to process: 1938
% Current number of ordered equations: 1
% Current number of rules: 1307
% New rule produced :
% [1339]
% product(product(A,product(product(B,C),product(B,product(D,C)))),product(A,B))
% <-> product(A,product(B,product(product(product(C,D),C),B)))
% Current number of equations to process: 1938
% Current number of ordered equations: 0
% Current number of rules: 1308
% New rule produced :
% [1340]
% product(A,product(B,product(product(product(C,B),D),B))) <->
% product(product(A,product(product(product(B,C),B),product(B,D))),product(A,B))
% Current number of equations to process: 1937
% Current number of ordered equations: 1
% Current number of rules: 1309
% New rule produced :
% [1341]
% product(product(A,product(product(product(B,C),B),product(B,D))),product(A,B))
% <-> product(A,product(B,product(product(product(C,B),D),B)))
% Current number of equations to process: 1937
% Current number of ordered equations: 0
% Current number of rules: 1310
% New rule produced :
% [1342]
% product(A,product(B,product(product(C,product(B,C)),B))) <->
% product(product(A,product(product(product(B,C),B),product(B,C))),product(A,B))
% Current number of equations to process: 1936
% Current number of ordered equations: 1
% Current number of rules: 1311
% New rule produced :
% [1343]
% product(product(A,product(product(product(B,C),B),product(B,C))),product(A,B))
% <-> product(A,product(B,product(product(C,product(B,C)),B)))
% Current number of equations to process: 1936
% Current number of ordered equations: 0
% Current number of rules: 1312
% New rule produced :
% [1344]
% product(A,product(B,product(product(C,product(D,B)),B))) <->
% product(product(A,product(product(B,C),product(product(B,D),B))),product(A,B))
% Current number of equations to process: 1935
% Current number of ordered equations: 1
% Current number of rules: 1313
% New rule produced :
% [1345]
% product(product(A,product(product(B,C),product(product(B,D),B))),product(A,B))
% <-> product(A,product(B,product(product(C,product(D,B)),B)))
% Current number of equations to process: 1935
% Current number of ordered equations: 0
% Current number of rules: 1314
% New rule produced :
% [1346]
% product(A,product(B,product(product(C,product(D,C)),B))) <->
% product(product(A,product(product(B,product(C,D)),product(B,C))),product(A,B))
% Current number of equations to process: 1934
% Current number of ordered equations: 1
% Current number of rules: 1315
% New rule produced :
% [1347]
% product(product(A,product(product(B,product(C,D)),product(B,C))),product(A,B))
% <-> product(A,product(B,product(product(C,product(D,C)),B)))
% Current number of equations to process: 1934
% Current number of ordered equations: 0
% Current number of rules: 1316
% New rule produced :
% [1348]
% product(A,product(B,product(product(product(C,D),B),B))) <->
% product(product(A,product(product(product(B,C),product(B,D)),B)),product(A,B))
% Current number of equations to process: 1932
% Current number of ordered equations: 3
% Current number of rules: 1317
% New rule produced :
% [1349]
% product(A,product(product(B,product(C,product(D,C))),A)) <->
% product(product(product(A,product(B,product(C,D))),product(A,product(B,C))),A)
% Current number of equations to process: 1932
% Current number of ordered equations: 2
% Current number of rules: 1318
% New rule produced :
% [1350]
% product(product(A,product(product(product(B,C),product(B,D)),B)),product(A,B))
% <-> product(A,product(B,product(product(product(C,D),B),B)))
% Current number of equations to process: 1932
% Current number of ordered equations: 1
% Current number of rules: 1319
% New rule produced :
% [1351]
% product(product(product(A,product(B,product(C,D))),product(A,product(B,C))),A)
% <-> product(A,product(product(B,product(C,product(D,C))),A))
% Current number of equations to process: 1932
% Current number of ordered equations: 0
% Current number of rules: 1320
% New rule produced :
% [1352]
% product(product(A,product(B,C)),product(product(A,B),product(A,product(B,C))))
% <-> product(product(A,product(B,product(C,B))),product(A,product(B,C)))
% Current number of equations to process: 1931
% Current number of ordered equations: 1
% Current number of rules: 1321
% New rule produced :
% [1353]
% product(product(A,product(B,product(C,B))),product(A,product(B,C))) <->
% product(product(A,product(B,C)),product(product(A,B),product(A,product(B,C))))
% Current number of equations to process: 1931
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced :
% [1354]
% product(A,product(product(B,C),product(product(B,D),product(B,C)))) <->
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,C)))
% Current number of equations to process: 1929
% Current number of ordered equations: 3
% Current number of rules: 1323
% New rule produced :
% [1355]
% product(A,product(B,product(product(product(C,D),product(C,V_4)),B))) <->
% product(product(A,product(product(B,C),product(B,product(D,V_4)))),product(A,B))
% Current number of equations to process: 1929
% Current number of ordered equations: 2
% Current number of rules: 1324
% New rule produced :
% [1356]
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,C)))
% <-> product(A,product(product(B,C),product(product(B,D),product(B,C))))
% Current number of equations to process: 1929
% Current number of ordered equations: 1
% Current number of rules: 1325
% New rule produced :
% [1357]
% product(product(A,product(product(B,C),product(B,product(D,V_4)))),product(A,B))
% <-> product(A,product(B,product(product(product(C,D),product(C,V_4)),B)))
% Current number of equations to process: 1929
% Current number of ordered equations: 0
% Current number of rules: 1326
% New rule produced :
% [1358]
% product(A,product(product(B,product(C,product(D,V_4))),product(B,product(C,D))))
% <-> product(product(A,B),product(A,product(C,product(D,product(V_4,D)))))
% Current number of equations to process: 1928
% Current number of ordered equations: 1
% Current number of rules: 1327
% New rule produced :
% [1359]
% product(product(A,B),product(A,product(C,product(D,product(V_4,D))))) <->
% product(A,product(product(B,product(C,product(D,V_4))),product(B,product(C,D))))
% Current number of equations to process: 1928
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [1360]
% product(product(A,product(B,C)),product(A,product(product(B,D),A))) <->
% product(product(A,product(B,product(C,D))),product(product(A,product(B,C)),A))
% Current number of equations to process: 1927
% Current number of ordered equations: 1
% Current number of rules: 1329
% New rule produced :
% [1361]
% product(product(A,product(B,product(C,D))),product(product(A,product(B,C)),A))
% <-> product(product(A,product(B,C)),product(A,product(product(B,D),A)))
% Current number of equations to process: 1927
% Current number of ordered equations: 0
% Current number of rules: 1330
% New rule produced :
% [1362]
% product(product(A,B),product(product(A,C),product(A,product(A,C)))) <->
% product(product(A,product(B,product(C,A))),product(product(A,B),product(A,C)))
% Current number of equations to process: 1926
% Current number of ordered equations: 1
% Current number of rules: 1331
% New rule produced :
% [1363]
% product(product(A,product(B,product(C,A))),product(product(A,B),product(A,C)))
% <-> product(product(A,B),product(product(A,C),product(A,product(A,C))))
% Current number of equations to process: 1926
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [1364]
% product(A,product(product(B,C),product(product(C,product(B,C)),C))) <->
% product(product(A,product(B,C)),product(A,product(product(product(C,B),C),C)))
% Current number of equations to process: 1925
% Current number of ordered equations: 1
% Current number of rules: 1333
% New rule produced :
% [1365]
% product(product(A,product(B,C)),product(A,product(product(product(C,B),C),C)))
% <-> product(A,product(product(B,C),product(product(C,product(B,C)),C)))
% Current number of equations to process: 1925
% Current number of ordered equations: 0
% Current number of rules: 1334
% New rule produced :
% [1366]
% product(A,product(product(B,C),product(B,product(D,C)))) <->
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(A,
% product(B,C)))
% Current number of equations to process: 1923
% Current number of ordered equations: 1
% Current number of rules: 1335
% New rule produced :
% [1367]
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(A,
% product(B,C)))
% <-> product(A,product(product(B,C),product(B,product(D,C))))
% Current number of equations to process: 1923
% Current number of ordered equations: 0
% Current number of rules: 1336
% New rule produced :
% [1368]
% product(A,product(product(B,C),product(B,product(D,C)))) <->
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),
% product(A,C)))
% Current number of equations to process: 1922
% Current number of ordered equations: 1
% Current number of rules: 1337
% New rule produced :
% [1369]
% product(product(A,product(product(B,C),product(B,D))),product(product(A,B),
% product(A,C))) <->
% product(A,product(product(B,C),product(B,product(D,C))))
% Current number of equations to process: 1922
% Current number of ordered equations: 0
% Current number of rules: 1338
% New rule produced :
% [1370]
% product(A,product(product(product(B,C),product(D,V_4)),product(product(B,C),D)))
% <->
% product(product(product(A,B),product(A,C)),product(A,product(D,product(V_4,D))))
% Current number of equations to process: 1921
% Current number of ordered equations: 1
% Current number of rules: 1339
% New rule produced :
% [1371]
% product(product(product(A,B),product(A,C)),product(A,product(D,product(V_4,D))))
% <->
% product(A,product(product(product(B,C),product(D,V_4)),product(product(B,C),D)))
% Current number of equations to process: 1921
% Current number of ordered equations: 0
% Current number of rules: 1340
% New rule produced :
% [1372]
% product(A,product(B,product(product(C,product(D,C)),V_4))) <->
% product(product(A,B),product(product(product(A,product(C,D)),product(A,C)),
% product(A,V_4)))
% Current number of equations to process: 1918
% Current number of ordered equations: 5
% Current number of rules: 1341
% New rule produced :
% [1373]
% product(A,product(B,product(C,product(D,product(V_4,D))))) <->
% product(product(A,B),product(product(A,C),product(product(A,product(D,V_4)),
% product(A,D))))
% Current number of equations to process: 1918
% Current number of ordered equations: 4
% Current number of rules: 1342
% New rule produced :
% [1374]
% product(A,product(product(B,product(C,B)),product(D,V_4))) <->
% product(product(product(A,product(B,C)),product(A,B)),product(product(A,D),
% product(A,V_4)))
% Current number of equations to process: 1918
% Current number of ordered equations: 3
% Current number of rules: 1343
% New rule produced :
% [1375]
% product(product(A,B),product(product(A,C),product(product(A,product(D,V_4)),
% product(A,D)))) <->
% product(A,product(B,product(C,product(D,product(V_4,D)))))
% Current number of equations to process: 1918
% Current number of ordered equations: 2
% Current number of rules: 1344
% New rule produced :
% [1376]
% product(product(A,B),product(product(product(A,product(C,D)),product(A,C)),
% product(A,V_4))) <->
% product(A,product(B,product(product(C,product(D,C)),V_4)))
% Current number of equations to process: 1918
% Current number of ordered equations: 1
% Current number of rules: 1345
% New rule produced :
% [1377]
% product(product(product(A,product(B,C)),product(A,B)),product(product(A,D),
% product(A,V_4))) <->
% product(A,product(product(B,product(C,B)),product(D,V_4)))
% Current number of equations to process: 1918
% Current number of ordered equations: 0
% Current number of rules: 1346
% New rule produced :
% [1378]
% product(A,product(product(B,C),product(D,product(V_4,D)))) <->
% product(product(product(A,B),product(A,C)),product(product(A,product(D,V_4)),
% product(A,D)))
% Current number of equations to process: 1915
% Current number of ordered equations: 5
% Current number of rules: 1347
% New rule produced :
% [1379]
% product(A,product(product(product(B,product(C,B)),D),V_4)) <->
% product(product(product(product(A,product(B,C)),product(A,B)),product(A,D)),
% product(A,V_4))
% Current number of equations to process: 1915
% Current number of ordered equations: 4
% Current number of rules: 1348
% New rule produced :
% [1380]
% product(A,product(product(B,product(C,product(D,C))),V_4)) <->
% product(product(product(A,B),product(product(A,product(C,D)),product(A,C))),
% product(A,V_4))
% Current number of equations to process: 1915
% Current number of ordered equations: 3
% Current number of rules: 1349
% New rule produced :
% [1381]
% product(product(product(A,B),product(A,C)),product(product(A,product(D,V_4)),
% product(A,D))) <->
% product(A,product(product(B,C),product(D,product(V_4,D))))
% Current number of equations to process: 1915
% Current number of ordered equations: 2
% Current number of rules: 1350
% New rule produced :
% [1382]
% product(product(product(A,B),product(product(A,product(C,D)),product(A,C))),
% product(A,V_4)) <->
% product(A,product(product(B,product(C,product(D,C))),V_4))
% Current number of equations to process: 1915
% Current number of ordered equations: 1
% Current number of rules: 1351
% New rule produced :
% [1383]
% product(product(product(product(A,product(B,C)),product(A,B)),product(A,D)),
% product(A,V_4)) <->
% product(A,product(product(product(B,product(C,B)),D),V_4))
% Current number of equations to process: 1915
% Current number of ordered equations: 0
% Current number of rules: 1352
% New rule produced :
% [1384]
% product(A,product(B,product(product(C,product(D,C)),V_4))) <->
% product(product(A,product(product(B,product(C,D)),product(B,C))),product(A,
% product(B,V_4)))
% Current number of equations to process: 1912
% Current number of ordered equations: 5
% Current number of rules: 1353
% New rule produced :
% [1385]
% product(A,product(B,product(C,product(D,product(V_4,D))))) <->
% product(product(A,product(B,C)),product(A,product(product(B,product(D,V_4)),
% product(B,D))))
% Current number of equations to process: 1912
% Current number of ordered equations: 4
% Current number of rules: 1354
% New rule produced :
% [1386]
% product(A,product(B,product(B,product(C,product(B,C))))) <->
% product(product(A,product(product(B,product(B,C)),B)),product(A,product(B,
% product(B,C))))
% Current number of equations to process: 1912
% Current number of ordered equations: 3
% Current number of rules: 1355
% New rule produced :
% [1387]
% product(product(A,product(B,C)),product(A,product(product(B,product(D,V_4)),
% product(B,D)))) <->
% product(A,product(B,product(C,product(D,product(V_4,D)))))
% Current number of equations to process: 1912
% Current number of ordered equations: 2
% Current number of rules: 1356
% New rule produced :
% [1388]
% product(product(A,product(product(B,product(C,D)),product(B,C))),product(A,
% product(B,V_4)))
% <-> product(A,product(B,product(product(C,product(D,C)),V_4)))
% Current number of equations to process: 1912
% Current number of ordered equations: 1
% Current number of rules: 1357
% New rule produced :
% [1389]
% product(product(A,product(product(B,product(B,C)),B)),product(A,product(B,
% product(B,C))))
% <-> product(A,product(B,product(B,product(C,product(B,C)))))
% Current number of equations to process: 1912
% Current number of ordered equations: 0
% Current number of rules: 1358
% New rule produced :
% [1390]
% product(product(A,B),product(product(product(A,product(C,D)),product(A,C)),V_4))
% <->
% product(product(A,product(B,product(C,product(D,C)))),product(product(A,B),V_4))
% Current number of equations to process: 1911
% Current number of ordered equations: 1
% Current number of rules: 1359
% New rule produced :
% [1391]
% product(product(A,product(B,product(C,product(D,C)))),product(product(A,B),V_4))
% <->
% product(product(A,B),product(product(product(A,product(C,D)),product(A,C)),V_4))
% Current number of equations to process: 1911
% Current number of ordered equations: 0
% Current number of rules: 1360
% New rule produced :
% [1392]
% product(product(A,B),product(C,product(product(A,product(D,V_4)),product(A,D))))
% <->
% product(product(product(A,B),C),product(A,product(B,product(D,product(V_4,D)))))
% Current number of equations to process: 1910
% Current number of ordered equations: 1
% Current number of rules: 1361
% New rule produced :
% [1393]
% product(product(product(A,B),C),product(A,product(B,product(D,product(V_4,D)))))
% <->
% product(product(A,B),product(C,product(product(A,product(D,V_4)),product(A,D))))
% Current number of equations to process: 1910
% Current number of ordered equations: 0
% Current number of rules: 1362
% New rule produced :
% [1394]
% product(product(A,product(B,C)),product(product(A,product(C,B)),product(A,C)))
% <->
% product(product(product(A,product(B,C)),product(A,C)),product(A,product(B,C)))
% Rule
% [1030]
% product(product(A,product(A,B)),product(product(A,product(B,A)),product(A,B)))
% <->
% product(product(product(A,product(A,B)),product(A,B)),product(A,product(A,B)))
% collapsed.
% Current number of equations to process: 1909
% Current number of ordered equations: 1
% Current number of rules: 1362
% New rule produced :
% [1395]
% product(product(product(A,product(B,C)),product(A,C)),product(A,product(B,C)))
% <->
% product(product(A,product(B,C)),product(product(A,product(C,B)),product(A,C)))
% Rule
% [1029]
% product(product(product(A,product(A,B)),product(A,B)),product(A,product(A,B)))
% <->
% product(product(A,product(A,B)),product(product(A,product(B,A)),product(A,B)))
% collapsed.
% Current number of equations to process: 1909
% Current number of ordered equations: 0
% Current number of rules: 1362
% New rule produced :
% [1396]
% product(A,product(product(B,product(C,product(D,V_4))),A)) <->
% product(product(product(A,product(B,C)),product(A,product(product(B,D),
% product(B,V_4)))),A)
% Current number of equations to process: 1905
% Current number of ordered equations: 7
% Current number of rules: 1363
% New rule produced :
% [1397]
% product(A,product(product(product(B,C),A),product(D,V_4))) <->
% product(product(product(product(A,B),product(A,C)),A),product(product(A,D),
% product(A,V_4)))
% Current number of equations to process: 1905
% Current number of ordered equations: 6
% Current number of rules: 1364
% New rule produced :
% [1398]
% product(A,product(B,product(product(product(C,D),A),V_4))) <->
% product(product(A,B),product(product(product(product(A,C),product(A,D)),A),
% product(A,V_4)))
% Current number of equations to process: 1905
% Current number of ordered equations: 5
% Current number of rules: 1365
% New rule produced :
% [1399]
% product(A,product(B,product(C,product(product(D,V_4),A)))) <->
% product(product(A,B),product(product(A,C),product(product(product(A,D),
% product(A,V_4)),A)))
% Current number of equations to process: 1905
% Current number of ordered equations: 4
% Current number of rules: 1366
% New rule produced :
% [1400]
% product(product(A,B),product(product(A,C),product(product(product(A,D),
% product(A,V_4)),A))) <->
% product(A,product(B,product(C,product(product(D,V_4),A))))
% Current number of equations to process: 1905
% Current number of ordered equations: 3
% Current number of rules: 1367
% New rule produced :
% [1401]
% product(product(A,B),product(product(product(product(A,C),product(A,D)),A),
% product(A,V_4))) <->
% product(A,product(B,product(product(product(C,D),A),V_4)))
% Current number of equations to process: 1905
% Current number of ordered equations: 2
% Current number of rules: 1368
% New rule produced :
% [1402]
% product(product(product(product(A,B),product(A,C)),A),product(product(A,D),
% product(A,V_4))) <->
% product(A,product(product(product(B,C),A),product(D,V_4)))
% Current number of equations to process: 1905
% Current number of ordered equations: 1
% Current number of rules: 1369
% New rule produced :
% [1403]
% product(product(product(A,product(B,C)),product(A,product(product(B,D),
% product(B,V_4)))),A) <->
% product(A,product(product(B,product(C,product(D,V_4))),A))
% Current number of equations to process: 1905
% Current number of ordered equations: 0
% Current number of rules: 1370
% New rule produced :
% [1404]
% product(A,product(product(B,product(product(C,D),V_4)),A)) <->
% product(product(product(A,product(product(B,C),product(B,D))),product(A,
% product(B,V_4))),A)
% Current number of equations to process: 1901
% Current number of ordered equations: 7
% Current number of rules: 1371
% New rule produced :
% [1405]
% product(A,product(product(product(product(B,C),A),D),V_4)) <->
% product(product(product(product(product(A,B),product(A,C)),A),product(A,D)),
% product(A,V_4))
% Current number of equations to process: 1901
% Current number of ordered equations: 6
% Current number of rules: 1372
% New rule produced :
% [1406]
% product(A,product(product(B,product(product(C,D),A)),V_4)) <->
% product(product(product(A,B),product(product(product(A,C),product(A,D)),A)),
% product(A,V_4))
% Current number of equations to process: 1901
% Current number of ordered equations: 5
% Current number of rules: 1373
% New rule produced :
% [1407]
% product(A,product(product(B,C),product(product(D,V_4),A))) <->
% product(product(product(A,B),product(A,C)),product(product(product(A,D),
% product(A,V_4)),A))
% Current number of equations to process: 1901
% Current number of ordered equations: 4
% Current number of rules: 1374
% New rule produced :
% [1408]
% product(product(product(A,B),product(A,C)),product(product(product(A,D),
% product(A,V_4)),A)) <->
% product(A,product(product(B,C),product(product(D,V_4),A)))
% Current number of equations to process: 1901
% Current number of ordered equations: 3
% Current number of rules: 1375
% New rule produced :
% [1409]
% product(product(product(A,product(product(B,C),product(B,D))),product(A,
% product(B,V_4))),A)
% <-> product(A,product(product(B,product(product(C,D),V_4)),A))
% Current number of equations to process: 1901
% Current number of ordered equations: 2
% Current number of rules: 1376
% New rule produced :
% [1410]
% product(product(product(product(product(A,B),product(A,C)),A),product(A,D)),
% product(A,V_4)) <->
% product(A,product(product(product(product(B,C),A),D),V_4))
% Current number of equations to process: 1901
% Current number of ordered equations: 1
% Current number of rules: 1377
% New rule produced :
% [1411]
% product(product(product(A,B),product(product(product(A,C),product(A,D)),A)),
% product(A,V_4)) <->
% product(A,product(product(B,product(product(C,D),A)),V_4))
% Current number of equations to process: 1901
% Current number of ordered equations: 0
% Current number of rules: 1378
% New rule produced :
% [1412]
% product(A,product(product(B,product(C,product(D,V_4))),A)) <->
% product(product(product(A,product(B,product(C,D))),product(A,product(B,
% product(C,V_4)))),A)
% Current number of equations to process: 1898
% Current number of ordered equations: 5
% Current number of rules: 1379
% New rule produced :
% [1413]
% product(A,product(B,product(product(product(C,D),B),V_4))) <->
% product(product(A,product(product(product(B,C),product(B,D)),B)),product(A,
% product(B,V_4)))
% Current number of equations to process: 1898
% Current number of ordered equations: 4
% Current number of rules: 1380
% New rule produced :
% [1414]
% product(A,product(B,product(C,product(product(D,V_4),B)))) <->
% product(product(A,product(B,C)),product(A,product(product(product(B,D),
% product(B,V_4)),B)))
% Current number of equations to process: 1898
% Current number of ordered equations: 3
% Current number of rules: 1381
% New rule produced :
% [1415]
% product(product(A,product(B,C)),product(A,product(product(product(B,D),
% product(B,V_4)),B))) <->
% product(A,product(B,product(C,product(product(D,V_4),B))))
% Current number of equations to process: 1898
% Current number of ordered equations: 2
% Current number of rules: 1382
% New rule produced :
% [1416]
% product(product(A,product(product(product(B,C),product(B,D)),B)),product(A,
% product(B,V_4)))
% <-> product(A,product(B,product(product(product(C,D),B),V_4)))
% Current number of equations to process: 1898
% Current number of ordered equations: 1
% Current number of rules: 1383
% New rule produced :
% [1417]
% product(product(product(A,product(B,product(C,D))),product(A,product(B,
% product(C,V_4)))),A)
% <-> product(A,product(product(B,product(C,product(D,V_4))),A))
% Current number of equations to process: 1898
% Current number of ordered equations: 0
% Current number of rules: 1384
% New rule produced :
% [1418]
% product(A,product(product(product(B,product(C,D)),product(product(B,C),V_4)),A))
% <->
% product(product(product(A,product(B,C)),product(A,product(product(B,D),V_4))),A)
% Current number of equations to process: 1896
% Current number of ordered equations: 3
% Current number of rules: 1385
% New rule produced :
% [1419]
% product(product(A,B),product(product(product(product(A,C),product(A,D)),A),V_4))
% <->
% product(product(A,product(B,product(product(C,D),A))),product(product(A,B),V_4))
% Current number of equations to process: 1896
% Current number of ordered equations: 2
% Current number of rules: 1386
% New rule produced :
% [1420]
% product(product(A,product(B,product(product(C,D),A))),product(product(A,B),V_4))
% <->
% product(product(A,B),product(product(product(product(A,C),product(A,D)),A),V_4))
% Current number of equations to process: 1896
% Current number of ordered equations: 1
% Current number of rules: 1387
% New rule produced :
% [1421]
% product(product(product(A,product(B,C)),product(A,product(product(B,D),V_4))),A)
% <->
% product(A,product(product(product(B,product(C,D)),product(product(B,C),V_4)),A))
% Current number of equations to process: 1896
% Current number of ordered equations: 0
% Current number of rules: 1388
% New rule produced :
% [1422]
% product(A,product(product(product(product(B,C),D),product(B,product(C,V_4))),A))
% <->
% product(product(product(A,product(B,C)),product(A,product(D,product(B,V_4)))),A)
% Current number of equations to process: 1893
% Current number of ordered equations: 5
% Current number of rules: 1389
% New rule produced :
% [1423]
% product(product(A,B),product(C,product(product(product(A,D),product(A,V_4)),A)))
% <->
% product(product(product(A,B),C),product(A,product(B,product(product(D,V_4),A))))
% Current number of equations to process: 1893
% Current number of ordered equations: 4
% Current number of rules: 1390
% New rule produced :
% [1424]
% product(product(product(A,B),C),product(product(product(D,A),product(D,B)),D))
% <->
% product(product(product(product(A,B),C),D),product(product(A,B),product(C,D)))
% Current number of equations to process: 1893
% Current number of ordered equations: 3
% Current number of rules: 1391
% New rule produced :
% [1425]
% product(product(product(A,B),C),product(A,product(B,product(product(D,V_4),A))))
% <->
% product(product(A,B),product(C,product(product(product(A,D),product(A,V_4)),A)))
% Current number of equations to process: 1893
% Current number of ordered equations: 2
% Current number of rules: 1392
% New rule produced :
% [1426]
% product(product(product(product(A,B),C),D),product(product(A,B),product(C,D)))
% <->
% product(product(product(A,B),C),product(product(product(D,A),product(D,B)),D))
% Current number of equations to process: 1893
% Current number of ordered equations: 1
% Current number of rules: 1393
% New rule produced :
% [1427]
% product(product(product(A,product(B,C)),product(A,product(D,product(B,V_4)))),A)
% <->
% product(A,product(product(product(product(B,C),D),product(B,product(C,V_4))),A))
% Current number of equations to process: 1893
% Current number of ordered equations: 0
% Current number of rules: 1394
% New rule produced :
% [1428]
% product(A,product(product(product(B,C),product(product(D,B),product(D,C))),A))
% <->
% product(product(product(A,product(product(B,C),D)),product(A,product(B,C))),A)
% Current number of equations to process: 1892
% Current number of ordered equations: 1
% Current number of rules: 1395
% New rule produced :
% [1429]
% product(product(product(A,product(product(B,C),D)),product(A,product(B,C))),A)
% <->
% product(A,product(product(product(B,C),product(product(D,B),product(D,C))),A))
% Current number of equations to process: 1892
% Current number of ordered equations: 0
% Current number of rules: 1396
% New rule produced :
% [1430]
% product(A,product(product(product(product(B,C),product(B,D)),product(B,C)),A))
% <->
% product(product(product(A,product(B,C)),product(A,product(B,product(D,C)))),A)
% Current number of equations to process: 1891
% Current number of ordered equations: 1
% Current number of rules: 1397
% New rule produced :
% [1431]
% product(product(product(A,product(B,C)),product(A,product(B,product(D,C)))),A)
% <->
% product(A,product(product(product(product(B,C),product(B,D)),product(B,C)),A))
% Current number of equations to process: 1891
% Current number of ordered equations: 0
% Current number of rules: 1398
% New rule produced :
% [1432]
% product(A,product(product(B,product(product(C,D),V_4)),A)) <->
% product(product(product(A,B),product(product(product(A,C),product(A,D)),
% product(A,V_4))),A)
% Current number of equations to process: 1888
% Current number of ordered equations: 5
% Current number of rules: 1399
% New rule produced :
% [1433]
% product(A,product(product(product(product(B,C),D),V_4),A)) <->
% product(product(product(product(product(A,B),product(A,C)),product(A,D)),
% product(A,V_4)),A)
% Current number of equations to process: 1888
% Current number of ordered equations: 4
% Current number of rules: 1400
% New rule produced :
% [1434]
% product(A,product(product(B,product(product(C,D),B)),V_4)) <->
% product(product(product(A,product(product(B,C),product(B,D))),product(A,B)),
% product(A,V_4))
% Current number of equations to process: 1888
% Current number of ordered equations: 3
% Current number of rules: 1401
% New rule produced :
% [1435]
% product(product(product(A,product(product(B,C),product(B,D))),product(A,B)),
% product(A,V_4)) <->
% product(A,product(product(B,product(product(C,D),B)),V_4))
% Current number of equations to process: 1888
% Current number of ordered equations: 2
% Current number of rules: 1402
% New rule produced :
% [1436]
% product(product(product(product(product(A,B),product(A,C)),product(A,D)),
% product(A,V_4)),A) <->
% product(A,product(product(product(product(B,C),D),V_4),A))
% Current number of equations to process: 1888
% Current number of ordered equations: 1
% Current number of rules: 1403
% New rule produced :
% [1437]
% product(product(product(A,B),product(product(product(A,C),product(A,D)),
% product(A,V_4))),A) <->
% product(A,product(product(B,product(product(C,D),V_4)),A))
% Current number of equations to process: 1888
% Current number of ordered equations: 0
% Current number of rules: 1404
% New rule produced :
% [1438]
% product(A,product(product(B,product(C,product(D,V_4))),A)) <->
% product(product(product(A,B),product(product(A,C),product(product(A,D),
% product(A,V_4)))),A)
% Current number of equations to process: 1885
% Current number of ordered equations: 5
% Current number of rules: 1405
% New rule produced :
% [1439]
% product(A,product(product(product(B,product(C,D)),V_4),A)) <->
% product(product(product(product(A,B),product(product(A,C),product(A,D))),
% product(A,V_4)),A)
% Current number of equations to process: 1885
% Current number of ordered equations: 4
% Current number of rules: 1406
% New rule produced :
% [1440]
% product(A,product(B,product(C,product(product(D,V_4),C)))) <->
% product(product(A,B),product(product(A,product(product(C,D),product(C,V_4))),
% product(A,C)))
% Current number of equations to process: 1885
% Current number of ordered equations: 3
% Current number of rules: 1407
% New rule produced :
% [1441]
% product(product(A,B),product(product(A,product(product(C,D),product(C,V_4))),
% product(A,C))) <->
% product(A,product(B,product(C,product(product(D,V_4),C))))
% Current number of equations to process: 1885
% Current number of ordered equations: 2
% Current number of rules: 1408
% New rule produced :
% [1442]
% product(product(product(product(A,B),product(product(A,C),product(A,D))),
% product(A,V_4)),A) <->
% product(A,product(product(product(B,product(C,D)),V_4),A))
% Current number of equations to process: 1885
% Current number of ordered equations: 1
% Current number of rules: 1409
% New rule produced :
% [1443]
% product(product(product(A,B),product(product(A,C),product(product(A,D),
% product(A,V_4)))),A) <->
% product(A,product(product(B,product(C,product(D,V_4))),A))
% Current number of equations to process: 1885
% Current number of ordered equations: 0
% Current number of rules: 1410
% New rule produced :
% [1444]
% product(A,product(product(B,product(C,product(D,V_4))),A)) <->
% product(product(product(A,B),product(product(A,product(C,D)),product(A,
% product(C,V_4)))),A)
% Current number of equations to process: 1882
% Current number of ordered equations: 5
% Current number of rules: 1411
% New rule produced :
% [1445]
% product(A,product(product(product(B,product(C,D)),V_4),A)) <->
% product(product(product(product(A,product(B,C)),product(A,product(B,D))),
% product(A,V_4)),A)
% Current number of equations to process: 1882
% Current number of ordered equations: 4
% Current number of rules: 1412
% New rule produced :
% [1446]
% product(A,product(B,product(C,product(product(D,V_4),C)))) <->
% product(product(A,product(B,product(product(C,D),product(C,V_4)))),product(A,
% product(B,C)))
% Current number of equations to process: 1882
% Current number of ordered equations: 3
% Current number of rules: 1413
% New rule produced :
% [1447]
% product(product(A,product(B,product(product(C,D),product(C,V_4)))),product(A,
% product(B,C)))
% <-> product(A,product(B,product(C,product(product(D,V_4),C))))
% Current number of equations to process: 1882
% Current number of ordered equations: 2
% Current number of rules: 1414
% New rule produced :
% [1448]
% product(product(product(product(A,product(B,C)),product(A,product(B,D))),
% product(A,V_4)),A) <->
% product(A,product(product(product(B,product(C,D)),V_4),A))
% Current number of equations to process: 1882
% Current number of ordered equations: 1
% Current number of rules: 1415
% New rule produced :
% [1449]
% product(product(product(A,B),product(product(A,product(C,D)),product(A,
% product(C,V_4)))),A)
% <-> product(A,product(product(B,product(C,product(D,V_4))),A))
% Current number of equations to process: 1882
% Current number of ordered equations: 0
% Current number of rules: 1416
% New rule produced :
% [1450]
% product(A,product(product(A,product(product(B,C),A)),D)) <->
% product(product(product(product(A,product(A,B)),product(A,product(A,C))),A),
% product(A,D))
% Current number of equations to process: 1881
% Current number of ordered equations: 1
% Current number of rules: 1417
% New rule produced :
% [1451]
% product(product(product(product(A,product(A,B)),product(A,product(A,C))),A),
% product(A,D)) <-> product(A,product(product(A,product(product(B,C),A)),D))
% Current number of equations to process: 1881
% Current number of ordered equations: 0
% Current number of rules: 1418
% New rule produced :
% [1452]
% product(A,product(B,product(A,product(product(C,D),A)))) <->
% product(product(A,B),product(product(product(A,product(A,C)),product(A,
% product(A,D))),A))
% Current number of equations to process: 1880
% Current number of ordered equations: 1
% Current number of rules: 1419
% New rule produced :
% [1453]
% product(product(A,B),product(product(product(A,product(A,C)),product(A,
% product(A,D))),A))
% <-> product(A,product(B,product(A,product(product(C,D),A))))
% Current number of equations to process: 1880
% Current number of ordered equations: 0
% Current number of rules: 1420
% New rule produced :
% [1454]
% product(A,product(product(B,C),product(D,product(B,C)))) <->
% product(product(product(product(A,B),product(A,C)),product(A,D)),product(A,
% product(B,C)))
% Current number of equations to process: 1877
% Current number of ordered equations: 5
% Current number of rules: 1421
% New rule produced :
% [1455]
% product(A,product(B,product(product(product(C,D),V_4),B))) <->
% product(product(A,product(product(product(B,C),product(B,D)),product(B,V_4))),
% product(A,B))
% Current number of equations to process: 1877
% Current number of ordered equations: 4
% Current number of rules: 1422
% New rule produced :
% [1456]
% product(A,product(product(B,product(C,product(D,C))),V_4)) <->
% product(product(product(A,product(B,product(C,D))),product(A,product(B,C))),
% product(A,V_4))
% Current number of equations to process: 1877
% Current number of ordered equations: 3
% Current number of rules: 1423
% New rule produced :
% [1457]
% product(product(product(product(A,B),product(A,C)),product(A,D)),product(A,
% product(B,C)))
% <-> product(A,product(product(B,C),product(D,product(B,C))))
% Current number of equations to process: 1877
% Current number of ordered equations: 2
% Current number of rules: 1424
% New rule produced :
% [1458]
% product(product(A,product(product(product(B,C),product(B,D)),product(B,V_4))),
% product(A,B)) <-> product(A,product(B,product(product(product(C,D),V_4),B)))
% Current number of equations to process: 1877
% Current number of ordered equations: 1
% Current number of rules: 1425
% New rule produced :
% [1459]
% product(product(product(A,product(B,product(C,D))),product(A,product(B,C))),
% product(A,V_4)) <->
% product(A,product(product(B,product(C,product(D,C))),V_4))
% Current number of equations to process: 1877
% Current number of ordered equations: 0
% Current number of rules: 1426
% New rule produced :
% [1460]
% product(A,product(B,product(product(C,product(D,V_4)),B))) <->
% product(product(A,product(product(B,C),product(product(B,D),product(B,V_4)))),
% product(A,B))
% Current number of equations to process: 1875
% Current number of ordered equations: 3
% Current number of rules: 1427
% New rule produced :
% [1461]
% product(A,product(B,product(C,product(D,product(V_4,D))))) <->
% product(product(A,B),product(product(A,product(C,product(D,V_4))),product(A,
% product(C,D))))
% Current number of equations to process: 1875
% Current number of ordered equations: 2
% Current number of rules: 1428
% New rule produced :
% [1462]
% product(product(A,B),product(product(A,product(C,product(D,V_4))),product(A,
% product(C,D))))
% <-> product(A,product(B,product(C,product(D,product(V_4,D)))))
% Current number of equations to process: 1875
% Current number of ordered equations: 1
% Current number of rules: 1429
% New rule produced :
% [1463]
% product(product(A,product(product(B,C),product(product(B,D),product(B,V_4)))),
% product(A,B)) <-> product(A,product(B,product(product(C,product(D,V_4)),B)))
% Current number of equations to process: 1875
% Current number of ordered equations: 0
% Current number of rules: 1430
% New rule produced :
% [1464]
% product(A,product(B,product(product(C,product(D,V_4)),B))) <->
% product(product(A,product(product(B,product(C,D)),product(B,product(C,V_4)))),
% product(A,B))
% Current number of equations to process: 1873
% Current number of ordered equations: 3
% Current number of rules: 1431
% New rule produced :
% [1465]
% product(A,product(B,product(C,product(D,product(V_4,D))))) <->
% product(product(A,product(B,product(C,product(D,V_4)))),product(A,product(B,
% product(C,D))))
% Current number of equations to process: 1873
% Current number of ordered equations: 2
% Current number of rules: 1432
% New rule produced :
% [1466]
% product(product(A,product(product(B,product(C,D)),product(B,product(C,V_4)))),
% product(A,B)) <-> product(A,product(B,product(product(C,product(D,V_4)),B)))
% Current number of equations to process: 1873
% Current number of ordered equations: 1
% Current number of rules: 1433
% New rule produced :
% [1467]
% product(product(A,product(B,product(C,product(D,V_4)))),product(A,product(B,
% product(C,D))))
% <-> product(A,product(B,product(C,product(D,product(V_4,D)))))
% Current number of equations to process: 1873
% Current number of ordered equations: 0
% Current number of rules: 1434
% New rule produced :
% [1468]
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,C))))
% <->
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,C)))
% Current number of equations to process: 1872
% Current number of ordered equations: 1
% Current number of rules: 1435
% New rule produced :
% [1469]
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,C)))
% <->
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,C))))
% Current number of equations to process: 1872
% Current number of ordered equations: 0
% Current number of rules: 1436
% New rule produced :
% [1470]
% product(product(A,B),product(C,product(product(A,D),C))) <->
% product(product(product(product(A,B),C),product(A,product(B,D))),product(
% product(A,B),C))
% Current number of equations to process: 1871
% Current number of ordered equations: 1
% Current number of rules: 1437
% New rule produced :
% [1471]
% product(product(product(product(A,B),C),product(A,product(B,D))),product(
% product(A,B),C))
% <-> product(product(A,B),product(C,product(product(A,D),C)))
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 1438
% New rule produced :
% [1472]
% product(A,product(product(B,C),product(product(B,product(D,C)),product(B,C))))
% <->
% product(product(A,product(B,product(product(C,D),C))),product(A,product(B,C)))
% Current number of equations to process: 1869
% Current number of ordered equations: 3
% Current number of rules: 1439
% New rule produced :
% [1473]
% product(A,product(product(product(B,C),product(B,product(C,D))),product(B,C)))
% <->
% product(product(A,product(B,C)),product(A,product(B,product(C,product(D,C)))))
% Current number of equations to process: 1869
% Current number of ordered equations: 2
% Current number of rules: 1440
% New rule produced :
% [1474]
% product(product(A,product(B,C)),product(A,product(B,product(C,product(D,C)))))
% <->
% product(A,product(product(product(B,C),product(B,product(C,D))),product(B,C)))
% Current number of equations to process: 1869
% Current number of ordered equations: 1
% Current number of rules: 1441
% New rule produced :
% [1475]
% product(product(A,product(B,product(product(C,D),C))),product(A,product(B,C)))
% <->
% product(A,product(product(B,C),product(product(B,product(D,C)),product(B,C))))
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 1442
% New rule produced :
% [1476]
% product(product(A,B),product(C,product(A,product(B,A)))) <->
% product(product(product(product(A,B),C),product(A,B)),product(product(A,B),
% product(C,A)))
% Current number of equations to process: 1868
% Current number of ordered equations: 1
% Current number of rules: 1443
% New rule produced :
% [1477]
% product(product(product(product(A,B),C),product(A,B)),product(product(A,B),
% product(C,A))) <->
% product(product(A,B),product(C,product(A,product(B,A))))
% Current number of equations to process: 1868
% Current number of ordered equations: 0
% Current number of rules: 1444
% New rule produced :
% [1478]
% product(A,product(product(B,C),product(product(product(B,D),B),product(B,C))))
% <->
% product(product(A,product(B,product(C,product(D,B)))),product(A,product(B,C)))
% Current number of equations to process: 1867
% Current number of ordered equations: 1
% Current number of rules: 1445
% New rule produced :
% [1479]
% product(product(A,product(B,product(C,product(D,B)))),product(A,product(B,C)))
% <->
% product(A,product(product(B,C),product(product(product(B,D),B),product(B,C))))
% Current number of equations to process: 1867
% Current number of ordered equations: 0
% Current number of rules: 1446
% New rule produced :
% [1480]
% product(product(product(A,B),product(product(C,A),product(C,B))),product(
% product(
% product(A,B),C),A))
% -> product(product(A,B),product(C,A))
% Current number of equations to process: 1866
% Current number of ordered equations: 0
% Current number of rules: 1447
% New rule produced :
% [1481]
% product(product(A,B),product(product(A,product(C,B)),A)) <->
% product(product(A,product(product(B,C),B)),product(A,product(B,A)))
% Current number of equations to process: 2001
% Current number of ordered equations: 1
% Current number of rules: 1448
% New rule produced :
% [1482]
% product(product(A,product(product(B,C),B)),product(A,product(B,A))) <->
% product(product(A,B),product(product(A,product(C,B)),A))
% Current number of equations to process: 2001
% Current number of ordered equations: 0
% Current number of rules: 1449
% New rule produced :
% [1483]
% product(product(A,B),product(product(product(A,C),A),A)) <->
% product(product(A,product(B,product(C,A))),product(A,product(B,A)))
% Current number of equations to process: 2000
% Current number of ordered equations: 1
% Current number of rules: 1450
% New rule produced :
% [1484]
% product(product(A,product(B,product(C,A))),product(A,product(B,A))) <->
% product(product(A,B),product(product(product(A,C),A),A))
% Current number of equations to process: 2000
% Current number of ordered equations: 0
% Current number of rules: 1451
% New rule produced :
% [1485]
% product(product(A,B),product(product(product(A,C),product(A,D)),A)) <->
% product(product(A,product(B,product(C,D))),product(A,product(B,A)))
% Current number of equations to process: 1999
% Current number of ordered equations: 1
% Current number of rules: 1452
% New rule produced :
% [1486]
% product(product(A,product(B,product(C,D))),product(A,product(B,A))) <->
% product(product(A,B),product(product(product(A,C),product(A,D)),A))
% Current number of equations to process: 1999
% Current number of ordered equations: 0
% Current number of rules: 1453
% New rule produced :
% [1487]
% product(product(product(A,product(B,A)),C),product(product(product(A,B),A),A))
% -> product(product(A,product(B,A)),product(C,A))
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 1454
% New rule produced :
% [1488]
% product(product(A,B),product(product(A,product(C,D)),A)) <->
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,A)))
% Current number of equations to process: 1997
% Current number of ordered equations: 1
% Current number of rules: 1455
% New rule produced :
% [1489]
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,A)))
% <-> product(product(A,B),product(product(A,product(C,D)),A))
% Current number of equations to process: 1997
% Current number of ordered equations: 0
% Current number of rules: 1456
% New rule produced :
% [1490]
% product(product(A,product(B,C)),product(product(A,product(B,D)),A)) <->
% product(product(A,product(B,product(C,D))),product(A,product(product(B,C),A)))
% Current number of equations to process: 1996
% Current number of ordered equations: 1
% Current number of rules: 1457
% New rule produced :
% [1491]
% product(product(A,product(B,product(C,D))),product(A,product(product(B,C),A)))
% <-> product(product(A,product(B,C)),product(product(A,product(B,D)),A))
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 1458
% New rule produced :
% [1492]
% product(product(product(A,B),product(C,A)),product(product(product(A,B),C),A))
% <-> product(product(product(A,B),C),product(A,product(product(B,A),A)))
% Current number of equations to process: 1995
% Current number of ordered equations: 1
% Current number of rules: 1459
% New rule produced :
% [1493]
% product(product(product(A,B),C),product(A,product(product(B,A),A))) <->
% product(product(product(A,B),product(C,A)),product(product(product(A,B),C),A))
% Current number of equations to process: 1995
% Current number of ordered equations: 0
% Current number of rules: 1460
% New rule produced :
% [1494]
% product(product(product(A,B),product(A,C)),product(product(A,product(B,A)),D))
% <-> product(product(A,product(B,A)),product(product(product(A,B),C),D))
% Current number of equations to process: 1993
% Current number of ordered equations: 3
% Current number of rules: 1461
% New rule produced :
% [1495]
% product(product(A,product(B,A)),product(product(product(A,B),C),D)) <->
% product(product(product(A,B),product(A,C)),product(product(A,product(B,A)),D))
% Current number of equations to process: 1993
% Current number of ordered equations: 2
% Current number of rules: 1462
% New rule produced :
% [1496]
% product(product(A,product(B,A)),product(C,product(product(A,B),D))) <->
% product(product(product(A,product(B,A)),C),product(product(A,B),product(A,D)))
% Current number of equations to process: 1993
% Current number of ordered equations: 1
% Current number of rules: 1463
% New rule produced :
% [1497]
% product(product(product(A,product(B,A)),C),product(product(A,B),product(A,D)))
% <-> product(product(A,product(B,A)),product(C,product(product(A,B),D)))
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 1464
% New rule produced :
% [1498]
% product(product(A,B),product(product(product(A,C),D),A)) <->
% product(product(product(A,product(B,C)),product(product(A,B),D)),product(A,
% product(B,A)))
% Current number of equations to process: 1992
% Current number of ordered equations: 1
% Current number of rules: 1465
% New rule produced :
% [1499]
% product(product(product(A,product(B,C)),product(product(A,B),D)),product(A,
% product(B,A)))
% <-> product(product(A,B),product(product(product(A,C),D),A))
% Current number of equations to process: 1992
% Current number of ordered equations: 0
% Current number of rules: 1466
% New rule produced :
% [1500]
% product(product(A,B),product(product(C,product(A,D)),A)) <->
% product(product(product(product(A,B),C),product(A,product(B,D))),product(A,
% product(B,A)))
% Current number of equations to process: 1991
% Current number of ordered equations: 1
% Current number of rules: 1467
% New rule produced :
% [1501]
% product(product(product(product(A,B),C),product(A,product(B,D))),product(A,
% product(B,A)))
% <-> product(product(A,B),product(product(C,product(A,D)),A))
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 1468
% New rule produced :
% [1502]
% product(product(A,B),product(A,product(A,product(C,B)))) <->
% product(product(A,product(B,A)),product(A,product(product(B,C),B)))
% Current number of equations to process: 2132
% Current number of ordered equations: 1
% Current number of rules: 1469
% New rule produced :
% [1503]
% product(product(A,product(B,A)),product(A,product(product(B,C),B))) <->
% product(product(A,B),product(A,product(A,product(C,B))))
% Current number of equations to process: 2132
% Current number of ordered equations: 0
% Current number of rules: 1470
% New rule produced :
% [1504]
% product(product(A,B),product(A,product(product(A,C),A))) <->
% product(product(A,product(B,A)),product(A,product(B,product(C,A))))
% Current number of equations to process: 2131
% Current number of ordered equations: 1
% Current number of rules: 1471
% New rule produced :
% [1505]
% product(product(A,product(B,A)),product(A,product(B,product(C,A)))) <->
% product(product(A,B),product(A,product(product(A,C),A)))
% Current number of equations to process: 2131
% Current number of ordered equations: 0
% Current number of rules: 1472
% New rule produced :
% [1506]
% product(product(product(product(A,B),A),A),product(product(A,product(B,A)),C))
% -> product(product(A,product(B,A)),product(A,C))
% Current number of equations to process: 2130
% Current number of ordered equations: 0
% Current number of rules: 1473
% New rule produced :
% [1507]
% product(product(A,B),product(A,product(A,product(C,D)))) <->
% product(product(A,product(B,A)),product(A,product(product(B,C),product(B,D))))
% Current number of equations to process: 2129
% Current number of ordered equations: 1
% Current number of rules: 1474
% New rule produced :
% [1508]
% product(product(A,product(B,A)),product(A,product(product(B,C),product(B,D))))
% <-> product(product(A,B),product(A,product(A,product(C,D))))
% Current number of equations to process: 2129
% Current number of ordered equations: 0
% Current number of rules: 1475
% New rule produced :
% [1509]
% product(product(A,B),product(product(A,product(A,C)),product(A,product(A,D))))
% <-> product(product(A,product(B,A)),product(A,product(B,product(C,D))))
% Current number of equations to process: 2128
% Current number of ordered equations: 1
% Current number of rules: 1476
% New rule produced :
% [1510]
% product(product(A,product(B,A)),product(A,product(B,product(C,D)))) <->
% product(product(A,B),product(product(A,product(A,C)),product(A,product(A,D))))
% Current number of equations to process: 2128
% Current number of ordered equations: 0
% Current number of rules: 1477
% New rule produced :
% [1511]
% product(product(A,product(B,C)),product(A,product(A,product(B,D)))) <->
% product(product(A,product(product(B,C),A)),product(A,product(B,product(C,D))))
% Current number of equations to process: 2127
% Current number of ordered equations: 1
% Current number of rules: 1478
% New rule produced :
% [1512]
% product(product(A,product(product(B,C),A)),product(A,product(B,product(C,D))))
% <-> product(product(A,product(B,C)),product(A,product(A,product(B,D))))
% Current number of equations to process: 2127
% Current number of ordered equations: 0
% Current number of rules: 1479
% New rule produced :
% [1513]
% product(product(A,product(B,A)),product(product(C,product(A,B)),C)) <->
% product(product(product(A,product(B,A)),C),product(product(A,B),product(A,C)))
% Current number of equations to process: 2126
% Current number of ordered equations: 1
% Current number of rules: 1480
% New rule produced :
% [1514]
% product(product(product(A,product(B,A)),C),product(product(A,B),product(A,C)))
% <-> product(product(A,product(B,A)),product(product(C,product(A,B)),C))
% Current number of equations to process: 2126
% Current number of ordered equations: 0
% Current number of rules: 1481
% New rule produced :
% [1515]
% product(product(product(A,B),product(A,C)),product(A,product(product(B,A),A)))
% <-> product(product(A,product(B,A)),product(product(product(A,B),C),A))
% Current number of equations to process: 2125
% Current number of ordered equations: 1
% Current number of rules: 1482
% New rule produced :
% [1516]
% product(product(A,product(B,A)),product(product(product(A,B),C),A)) <->
% product(product(product(A,B),product(A,C)),product(A,product(product(B,A),A)))
% Current number of equations to process: 2125
% Current number of ordered equations: 0
% Current number of rules: 1483
% New rule produced :
% [1517]
% product(product(A,product(B,A)),product(A,product(product(A,B),C))) <->
% product(product(A,product(product(B,A),A)),product(product(A,B),product(A,C)))
% Current number of equations to process: 2124
% Current number of ordered equations: 1
% Current number of rules: 1484
% New rule produced :
% [1518]
% product(product(A,product(product(B,A),A)),product(product(A,B),product(A,C)))
% <-> product(product(A,product(B,A)),product(A,product(product(A,B),C)))
% Current number of equations to process: 2124
% Current number of ordered equations: 0
% Current number of rules: 1485
% New rule produced :
% [1519]
% product(product(A,product(B,A)),product(product(C,product(A,B)),product(C,D)))
% <->
% product(product(product(A,product(B,A)),C),product(product(A,B),product(A,D)))
% Current number of equations to process: 2123
% Current number of ordered equations: 1
% Current number of rules: 1486
% New rule produced :
% [1520]
% product(product(product(A,product(B,A)),C),product(product(A,B),product(A,D)))
% <->
% product(product(A,product(B,A)),product(product(C,product(A,B)),product(C,D)))
% Current number of equations to process: 2123
% Current number of ordered equations: 0
% Current number of rules: 1487
% New rule produced :
% [1521]
% product(product(A,B),product(A,product(product(A,C),D))) <->
% product(product(A,product(B,A)),product(product(A,product(B,C)),product(
% product(A,B),D)))
% Current number of equations to process: 2122
% Current number of ordered equations: 1
% Current number of rules: 1488
% New rule produced :
% [1522]
% product(product(A,product(B,A)),product(product(A,product(B,C)),product(
% product(A,B),D)))
% <-> product(product(A,B),product(A,product(product(A,C),D)))
% Current number of equations to process: 2122
% Current number of ordered equations: 0
% Current number of rules: 1489
% New rule produced :
% [1523]
% product(product(A,B),product(A,product(C,product(A,D)))) <->
% product(product(A,product(B,A)),product(product(product(A,B),C),product(A,
% product(B,D))))
% Current number of equations to process: 2121
% Current number of ordered equations: 1
% Current number of rules: 1490
% New rule produced :
% [1524]
% product(product(A,product(B,A)),product(product(product(A,B),C),product(A,
% product(B,D))))
% <-> product(product(A,B),product(A,product(C,product(A,D))))
% Current number of equations to process: 2121
% Current number of ordered equations: 0
% Current number of rules: 1491
% New rule produced :
% [1525]
% product(product(A,product(B,A)),product(product(A,C),product(product(A,B),D)))
% <->
% product(product(A,product(product(B,A),C)),product(product(A,B),product(A,D)))
% Current number of equations to process: 2120
% Current number of ordered equations: 1
% Current number of rules: 1492
% New rule produced :
% [1526]
% product(product(A,product(product(B,A),C)),product(product(A,B),product(A,D)))
% <->
% product(product(A,product(B,A)),product(product(A,C),product(product(A,B),D)))
% Current number of equations to process: 2120
% Current number of ordered equations: 0
% Current number of rules: 1493
% New rule produced :
% [1527]
% product(product(product(A,B),product(A,C)),product(A,product(product(B,A),D)))
% <->
% product(product(A,product(B,A)),product(product(product(A,B),C),product(A,D)))
% Current number of equations to process: 2119
% Current number of ordered equations: 1
% Current number of rules: 1494
% New rule produced :
% [1528]
% product(product(A,product(B,A)),product(product(product(A,B),C),product(A,D)))
% <->
% product(product(product(A,B),product(A,C)),product(A,product(product(B,A),D)))
% Current number of equations to process: 2119
% Current number of ordered equations: 0
% Current number of rules: 1495
% New rule produced :
% [1529]
% product(product(A,B),product(A,product(C,product(A,B)))) <->
% product(product(product(A,B),product(A,C)),product(product(A,product(B,A)),
% product(A,B)))
% Current number of equations to process: 2118
% Current number of ordered equations: 1
% Current number of rules: 1496
% New rule produced :
% [1530]
% product(product(product(A,B),product(A,C)),product(product(A,product(B,A)),
% product(A,B))) <->
% product(product(A,B),product(A,product(C,product(A,B))))
% Current number of equations to process: 2118
% Current number of ordered equations: 0
% Current number of rules: 1497
% New rule produced :
% [1531]
% product(product(A,B),product(A,product(B,product(C,B)))) <->
% product(product(A,product(B,product(B,C))),product(A,B))
% Current number of equations to process: 2293
% Current number of ordered equations: 1
% Current number of rules: 1498
% New rule produced :
% [1532]
% product(product(A,product(B,product(B,C))),product(A,B)) <->
% product(product(A,B),product(A,product(B,product(C,B))))
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 1499
% New rule produced :
% [1533]
% product(product(A,B),product(product(A,C),product(A,product(B,C)))) <->
% product(product(A,product(product(B,C),B)),product(A,product(B,C)))
% Current number of equations to process: 2292
% Current number of ordered equations: 1
% Current number of rules: 1500
% New rule produced :
% [1534]
% product(product(A,product(product(B,C),B)),product(A,product(B,C))) <->
% product(product(A,B),product(product(A,C),product(A,product(B,C))))
% Current number of equations to process: 2292
% Current number of ordered equations: 0
% Current number of rules: 1501
% New rule produced :
% [1535]
% product(product(A,product(B,C)),product(A,product(product(C,B),C))) <->
% product(product(A,product(product(B,C),C)),product(A,product(B,C)))
% Current number of equations to process: 2291
% Current number of ordered equations: 1
% Current number of rules: 1502
% New rule produced :
% [1536]
% product(product(A,product(product(B,C),C)),product(A,product(B,C))) <->
% product(product(A,product(B,C)),product(A,product(product(C,B),C)))
% Current number of equations to process: 2291
% Current number of ordered equations: 0
% Current number of rules: 1503
% New rule produced :
% [1537]
% product(product(product(A,B),A),product(product(A,C),product(A,product(B,A))))
% <-> product(product(A,product(product(B,A),C)),product(A,product(B,A)))
% Current number of equations to process: 2290
% Current number of ordered equations: 1
% Current number of rules: 1504
% New rule produced :
% [1538]
% product(product(A,product(product(B,A),C)),product(A,product(B,A))) <->
% product(product(product(A,B),A),product(product(A,C),product(A,product(B,A))))
% Current number of equations to process: 2290
% Current number of ordered equations: 0
% Current number of rules: 1505
% New rule produced :
% [1539]
% product(product(A,B),product(product(product(A,C),product(A,B)),product(A,B)))
% <-> product(product(product(A,product(B,C)),product(A,B)),product(A,B))
% Current number of equations to process: 2289
% Current number of ordered equations: 1
% Current number of rules: 1506
% New rule produced :
% [1540]
% product(product(product(A,product(B,C)),product(A,B)),product(A,B)) <->
% product(product(A,B),product(product(product(A,C),product(A,B)),product(A,B)))
% Current number of equations to process: 2289
% Current number of ordered equations: 0
% Current number of rules: 1507
% New rule produced :
% [1541]
% product(product(A,product(B,C)),product(A,product(product(D,B),product(D,C))))
% <-> product(product(A,product(product(B,C),D)),product(A,product(B,C)))
% Current number of equations to process: 2288
% Current number of ordered equations: 1
% Current number of rules: 1508
% New rule produced :
% [1542]
% product(product(A,product(product(B,C),D)),product(A,product(B,C))) <->
% product(product(A,product(B,C)),product(A,product(product(D,B),product(D,C))))
% Current number of equations to process: 2288
% Current number of ordered equations: 0
% Current number of rules: 1509
% New rule produced :
% [1543]
% product(product(A,product(B,C)),product(A,product(B,product(D,C)))) <->
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,C)))
% Current number of equations to process: 2287
% Current number of ordered equations: 1
% Current number of rules: 1510
% New rule produced :
% [1544]
% product(product(A,product(product(B,C),product(B,D))),product(A,product(B,C)))
% <-> product(product(A,product(B,C)),product(A,product(B,product(D,C))))
% Current number of equations to process: 2287
% Current number of ordered equations: 0
% Current number of rules: 1511
% New rule produced :
% [1545]
% product(product(product(A,B),A),product(A,product(product(B,C),product(B,A))))
% <-> product(product(A,product(B,product(A,C))),product(A,product(B,A)))
% Current number of equations to process: 2286
% Current number of ordered equations: 1
% Current number of rules: 1512
% New rule produced :
% [1546]
% product(product(A,product(B,product(A,C))),product(A,product(B,A))) <->
% product(product(product(A,B),A),product(A,product(product(B,C),product(B,A))))
% Current number of equations to process: 2286
% Current number of ordered equations: 0
% Current number of rules: 1513
% New rule produced :
% [1547]
% product(product(A,B),product(product(C,product(A,D)),product(C,product(A,B))))
% <->
% product(product(product(A,B),C),product(product(A,product(B,D)),product(A,B)))
% Current number of equations to process: 2284
% Current number of ordered equations: 1
% Current number of rules: 1514
% New rule produced :
% [1548]
% product(product(product(A,B),C),product(product(A,product(B,D)),product(A,B)))
% <->
% product(product(A,B),product(product(C,product(A,D)),product(C,product(A,B))))
% Current number of equations to process: 2284
% Current number of ordered equations: 0
% Current number of rules: 1515
% New rule produced :
% [1549]
% product(A,product(product(B,product(C,D)),product(B,C))) <->
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),
% product(B,C))))
% Current number of equations to process: 2283
% Current number of ordered equations: 1
% Current number of rules: 1516
% New rule produced :
% [1550]
% product(product(product(A,B),product(A,C)),product(A,product(product(B,D),
% product(B,C)))) <->
% product(A,product(product(B,product(C,D)),product(B,C)))
% Current number of equations to process: 2283
% Current number of ordered equations: 0
% Current number of rules: 1517
% New rule produced :
% [1551]
% product(A,product(product(B,product(C,D)),product(B,C))) <->
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,
% product(B,C))))
% Current number of equations to process: 2282
% Current number of ordered equations: 1
% Current number of rules: 1518
% New rule produced :
% [1552]
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,
% product(B,C))))
% <-> product(A,product(product(B,product(C,D)),product(B,C)))
% Current number of equations to process: 2282
% Current number of ordered equations: 0
% Current number of rules: 1519
% New rule produced :
% [1553]
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,B))))
% <->
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,B)))
% Current number of equations to process: 2281
% Current number of ordered equations: 1
% Current number of rules: 1520
% New rule produced :
% [1554]
% product(product(A,product(B,C)),product(product(A,product(B,D)),product(A,B)))
% <->
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,B))))
% Current number of equations to process: 2281
% Current number of ordered equations: 0
% Current number of rules: 1521
% New rule produced :
% [1555]
% product(product(A,B),product(product(product(A,C),product(A,B)),product(A,D)))
% <->
% product(product(product(A,product(B,C)),product(A,B)),product(A,product(B,D)))
% Current number of equations to process: 2280
% Current number of ordered equations: 1
% Current number of rules: 1522
% New rule produced :
% [1556]
% product(product(product(A,product(B,C)),product(A,B)),product(A,product(B,D)))
% <->
% product(product(A,B),product(product(product(A,C),product(A,B)),product(A,D)))
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 1523
% New rule produced :
% [1557]
% product(product(A,product(B,C)),product(product(A,D),product(A,product(B,C))))
% <->
% product(product(A,product(product(B,C),D)),product(product(A,B),product(A,C)))
% Current number of equations to process: 2279
% Current number of ordered equations: 1
% Current number of rules: 1524
% New rule produced :
% [1558]
% product(product(A,product(product(B,C),D)),product(product(A,B),product(A,C)))
% <->
% product(product(A,product(B,C)),product(product(A,D),product(A,product(B,C))))
% Current number of equations to process: 2279
% Current number of ordered equations: 0
% Current number of rules: 1525
% New rule produced :
% [1559]
% product(A,product(product(product(B,C),B),A)) <->
% product(product(product(A,B),product(product(A,C),product(A,B))),A)
% Current number of equations to process: 2435
% Current number of ordered equations: 1
% Current number of rules: 1526
% New rule produced :
% [1560]
% product(product(product(A,B),product(product(A,C),product(A,B))),A) <->
% product(A,product(product(product(B,C),B),A))
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 1527
% New rule produced :
% [1561]
% product(A,product(product(B,C),product(product(B,D),product(B,C)))) <->
% product(product(A,B),product(A,product(product(C,D),C)))
% Current number of equations to process: 2434
% Current number of ordered equations: 1
% Current number of rules: 1528
% New rule produced :
% [1562]
% product(product(A,B),product(A,product(product(C,D),C))) <->
% product(A,product(product(B,C),product(product(B,D),product(B,C))))
% Current number of equations to process: 2434
% Current number of ordered equations: 0
% Current number of rules: 1529
% New rule produced :
% [1563]
% product(A,product(B,product(product(C,D),C))) <->
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,C))))
% Current number of equations to process: 2433
% Current number of ordered equations: 1
% Current number of rules: 1530
% New rule produced :
% [1564]
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,C))))
% <-> product(A,product(B,product(product(C,D),C)))
% Current number of equations to process: 2433
% Current number of ordered equations: 0
% Current number of rules: 1531
% New rule produced :
% [1565]
% product(A,product(product(product(B,C),B),D)) <->
% product(product(product(A,B),product(product(A,C),product(A,B))),product(A,D))
% Current number of equations to process: 2432
% Current number of ordered equations: 1
% Current number of rules: 1532
% New rule produced :
% [1566]
% product(product(product(A,B),product(product(A,C),product(A,B))),product(A,D))
% <-> product(A,product(product(product(B,C),B),D))
% Current number of equations to process: 2432
% Current number of ordered equations: 0
% Current number of rules: 1533
% New rule produced :
% [1567]
% product(product(A,B),product(product(A,product(C,B)),product(A,B))) <->
% product(product(product(A,product(B,C)),product(A,B)),product(A,B))
% Current number of equations to process: 2431
% Current number of ordered equations: 1
% Current number of rules: 1534
% New rule produced :
% [1568]
% product(product(product(A,product(B,C)),product(A,B)),product(A,B)) <->
% product(product(A,B),product(product(A,product(C,B)),product(A,B)))
% Current number of equations to process: 2431
% Current number of ordered equations: 0
% Current number of rules: 1535
% New rule produced :
% [1569]
% product(product(A,B),product(product(A,B),product(product(A,C),product(A,B))))
% <-> product(product(A,product(B,product(B,C))),product(A,B))
% Current number of equations to process: 2430
% Current number of ordered equations: 1
% Current number of rules: 1536
% New rule produced :
% [1570]
% product(product(A,product(B,product(B,C))),product(A,B)) <->
% product(product(A,B),product(product(A,B),product(product(A,C),product(A,B))))
% Current number of equations to process: 2430
% Current number of ordered equations: 0
% Current number of rules: 1537
% New rule produced :
% [1571]
% product(A,product(product(A,product(B,A)),A)) <->
% product(product(product(A,product(A,B)),A),A)
% Current number of equations to process: 2546
% Current number of ordered equations: 3
% Current number of rules: 1538
% New rule produced :
% [1572]
% product(A,product(A,product(A,product(B,A)))) <->
% product(product(A,product(A,product(A,B))),A)
% Current number of equations to process: 2546
% Current number of ordered equations: 2
% Current number of rules: 1539
% New rule produced :
% [1573]
% product(product(product(A,product(A,B)),A),A) <->
% product(A,product(product(A,product(B,A)),A))
% Current number of equations to process: 2546
% Current number of ordered equations: 1
% Current number of rules: 1540
% New rule produced :
% [1574]
% product(product(A,product(A,product(A,B))),A) <->
% product(A,product(A,product(A,product(B,A))))
% Current number of equations to process: 2546
% Current number of ordered equations: 0
% Current number of rules: 1541
% New rule produced :
% [1575]
% product(A,product(B,product(B,product(A,B)))) <->
% product(product(product(A,B),product(product(A,B),A)),product(A,B))
% Current number of equations to process: 2544
% Current number of ordered equations: 1
% Current number of rules: 1542
% New rule produced :
% [1576]
% product(product(product(A,B),product(product(A,B),A)),product(A,B)) <->
% product(A,product(B,product(B,product(A,B))))
% Current number of equations to process: 2544
% Current number of ordered equations: 0
% Current number of rules: 1543
% New rule produced :
% [1577]
% product(A,product(product(product(B,product(B,C)),B),B)) <->
% product(product(A,B),product(A,product(product(B,product(C,B)),B)))
% Current number of equations to process: 2543
% Current number of ordered equations: 1
% Current number of rules: 1544
% New rule produced :
% [1578]
% product(product(A,B),product(A,product(product(B,product(C,B)),B))) <->
% product(A,product(product(product(B,product(B,C)),B),B))
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 1545
% New rule produced :
% [1579]
% product(A,product(B,product(product(A,product(C,A)),A))) <->
% product(product(A,B),product(product(product(A,product(A,C)),A),A))
% Current number of equations to process: 2542
% Current number of ordered equations: 1
% Current number of rules: 1546
% New rule produced :
% [1580]
% product(product(A,B),product(product(product(A,product(A,C)),A),A)) <->
% product(A,product(B,product(product(A,product(C,A)),A)))
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 1547
% New rule produced :
% [1581]
% product(A,product(product(product(A,product(B,A)),A),C)) <->
% product(product(product(product(A,product(A,B)),A),A),product(A,C))
% Current number of equations to process: 2541
% Current number of ordered equations: 1
% Current number of rules: 1548
% New rule produced :
% [1582]
% product(product(product(product(A,product(A,B)),A),A),product(A,C)) <->
% product(A,product(product(product(A,product(B,A)),A),C))
% Current number of equations to process: 2541
% Current number of ordered equations: 0
% Current number of rules: 1549
% New rule produced :
% [1583]
% product(A,product(product(product(B,product(B,C)),B),A)) <->
% product(product(product(A,B),product(A,product(B,product(C,B)))),A)
% Current number of equations to process: 2540
% Current number of ordered equations: 1
% Current number of rules: 1550
% New rule produced :
% [1584]
% product(product(product(A,B),product(A,product(B,product(C,B)))),A) <->
% product(A,product(product(product(B,product(B,C)),B),A))
% Current number of equations to process: 2540
% Current number of ordered equations: 0
% Current number of rules: 1551
% New rule produced :
% [1585]
% product(product(product(product(A,product(A,B)),A),product(A,C)),A) <->
% product(A,product(product(product(A,product(B,A)),C),A))
% Current number of equations to process: 2538
% Current number of ordered equations: 3
% Current number of rules: 1552
% New rule produced :
% [1586]
% product(product(product(A,B),product(product(A,product(A,C)),A)),A) <->
% product(A,product(product(B,product(A,product(C,A))),A))
% Current number of equations to process: 2538
% Current number of ordered equations: 2
% Current number of rules: 1553
% New rule produced :
% [1587]
% product(A,product(product(product(A,product(B,A)),C),A)) <->
% product(product(product(product(A,product(A,B)),A),product(A,C)),A)
% Current number of equations to process: 2538
% Current number of ordered equations: 1
% Current number of rules: 1554
% New rule produced :
% [1588]
% product(A,product(product(B,product(A,product(C,A))),A)) <->
% product(product(product(A,B),product(product(A,product(A,C)),A)),A)
% Current number of equations to process: 2538
% Current number of ordered equations: 0
% Current number of rules: 1555
% New rule produced :
% [1589]
% product(A,product(B,product(product(B,product(C,B)),B))) <->
% product(product(A,product(product(B,product(B,C)),B)),product(A,B))
% Current number of equations to process: 2537
% Current number of ordered equations: 1
% Current number of rules: 1556
% New rule produced :
% [1590]
% product(product(A,product(product(B,product(B,C)),B)),product(A,B)) <->
% product(A,product(B,product(product(B,product(C,B)),B)))
% Current number of equations to process: 2537
% Current number of ordered equations: 0
% Current number of rules: 1557
% New rule produced :
% [1591]
% product(product(A,product(B,A)),product(product(A,product(A,B)),A)) <->
% product(product(product(A,product(B,A)),A),product(A,product(B,A)))
% Current number of equations to process: 2536
% Current number of ordered equations: 1
% Current number of rules: 1558
% New rule produced :
% [1592]
% product(product(product(A,product(B,A)),A),product(A,product(B,A))) <->
% product(product(A,product(B,A)),product(product(A,product(A,B)),A))
% Current number of equations to process: 2536
% Current number of ordered equations: 0
% Current number of rules: 1559
% New rule produced :
% [1593]
% product(product(A,B),product(A,product(product(B,product(C,B)),D))) <->
% product(A,product(product(product(B,product(B,C)),B),product(B,D)))
% Current number of equations to process: 2534
% Current number of ordered equations: 3
% Current number of rules: 1560
% New rule produced :
% [1594]
% product(product(A,B),product(A,product(C,product(B,product(D,B))))) <->
% product(A,product(product(B,C),product(product(B,product(B,D)),B)))
% Current number of equations to process: 2534
% Current number of ordered equations: 2
% Current number of rules: 1561
% New rule produced :
% [1595]
% product(A,product(product(product(B,product(B,C)),B),product(B,D))) <->
% product(product(A,B),product(A,product(product(B,product(C,B)),D)))
% Current number of equations to process: 2534
% Current number of ordered equations: 1
% Current number of rules: 1562
% New rule produced :
% [1596]
% product(A,product(product(B,C),product(product(B,product(B,D)),B))) <->
% product(product(A,B),product(A,product(C,product(B,product(D,B)))))
% Current number of equations to process: 2534
% Current number of ordered equations: 0
% Current number of rules: 1563
% New rule produced :
% [1597]
% product(A,product(product(B,C),product(B,product(C,product(D,C))))) <->
% product(product(A,B),product(A,product(product(C,product(C,D)),C)))
% Current number of equations to process: 2533
% Current number of ordered equations: 1
% Current number of rules: 1564
% New rule produced :
% [1598]
% product(product(A,B),product(A,product(product(C,product(C,D)),C))) <->
% product(A,product(product(B,C),product(B,product(C,product(D,C)))))
% Current number of equations to process: 2533
% Current number of ordered equations: 0
% Current number of rules: 1565
% New rule produced :
% [1599]
% product(A,product(product(product(B,product(B,C)),B),D)) <->
% product(product(product(A,B),product(A,product(B,product(C,B)))),product(A,D))
% Current number of equations to process: 2531
% Current number of ordered equations: 1
% Current number of rules: 1566
% New rule produced :
% [1600]
% product(product(product(A,B),product(A,product(B,product(C,B)))),product(A,D))
% <-> product(A,product(product(product(B,product(B,C)),B),D))
% Current number of equations to process: 2531
% Current number of ordered equations: 0
% Current number of rules: 1567
% New rule produced :
% [1601]
% product(A,product(B,product(product(C,product(C,D)),C))) <->
% product(product(A,B),product(product(A,C),product(A,product(C,product(D,C)))))
% Current number of equations to process: 2530
% Current number of ordered equations: 1
% Current number of rules: 1568
% New rule produced :
% [1602]
% product(product(A,B),product(product(A,C),product(A,product(C,product(D,C)))))
% <-> product(A,product(B,product(product(C,product(C,D)),C)))
% Current number of equations to process: 2530
% Current number of ordered equations: 0
% Current number of rules: 1569
% New rule produced :
% [1603]
% product(A,product(B,product(product(C,product(C,D)),C))) <->
% product(product(A,product(B,C)),product(A,product(B,product(C,product(D,C)))))
% Current number of equations to process: 2529
% Current number of ordered equations: 1
% Current number of rules: 1570
% New rule produced :
% [1604]
% product(product(A,product(B,C)),product(A,product(B,product(C,product(D,C)))))
% <-> product(A,product(B,product(product(C,product(C,D)),C)))
% Current number of equations to process: 2529
% Current number of ordered equations: 0
% Current number of rules: 1571
% New rule produced :
% [1605]
% product(A,product(product(A,product(B,A)),product(C,D))) <->
% product(product(product(A,product(A,B)),A),product(product(A,C),product(A,D)))
% Current number of equations to process: 2525
% Current number of ordered equations: 7
% Current number of rules: 1572
% New rule produced :
% [1606]
% product(product(A,B),product(A,product(B,product(C,B)))) <->
% product(product(product(A,B),product(product(A,B),product(A,C))),product(A,B))
% Current number of equations to process: 2525
% Current number of ordered equations: 6
% Current number of rules: 1573
% New rule produced :
% [1607]
% product(A,product(B,product(product(A,product(C,A)),D))) <->
% product(product(A,B),product(product(product(A,product(A,C)),A),product(A,D)))
% Current number of equations to process: 2525
% Current number of ordered equations: 5
% Current number of rules: 1574
% New rule produced :
% [1608]
% product(A,product(B,product(C,product(A,product(D,A))))) <->
% product(product(A,B),product(product(A,C),product(product(A,product(A,D)),A)))
% Current number of equations to process: 2525
% Current number of ordered equations: 4
% Current number of rules: 1575
% New rule produced :
% [1609]
% product(product(A,B),product(product(A,C),product(product(A,product(A,D)),A)))
% <-> product(A,product(B,product(C,product(A,product(D,A)))))
% Current number of equations to process: 2525
% Current number of ordered equations: 3
% Current number of rules: 1576
% New rule produced :
% [1610]
% product(product(A,B),product(product(product(A,product(A,C)),A),product(A,D)))
% <-> product(A,product(B,product(product(A,product(C,A)),D)))
% Current number of equations to process: 2525
% Current number of ordered equations: 2
% Current number of rules: 1577
% New rule produced :
% [1611]
% product(product(product(A,product(A,B)),A),product(product(A,C),product(A,D)))
% <-> product(A,product(product(A,product(B,A)),product(C,D)))
% Current number of equations to process: 2525
% Current number of ordered equations: 1
% Current number of rules: 1578
% New rule produced :
% [1612]
% product(product(product(A,B),product(product(A,B),product(A,C))),product(A,B))
% <-> product(product(A,B),product(A,product(B,product(C,B))))
% Current number of equations to process: 2525
% Current number of ordered equations: 0
% Current number of rules: 1579
% New rule produced :
% [1613]
% product(product(product(product(A,product(A,B)),A),product(A,C)),product(A,D))
% <-> product(A,product(product(product(A,product(B,A)),C),D))
% Current number of equations to process: 2522
% Current number of ordered equations: 5
% Current number of rules: 1580
% New rule produced :
% [1614]
% product(product(product(A,B),product(product(A,product(A,C)),A)),product(A,D))
% <-> product(A,product(product(B,product(A,product(C,A))),D))
% Current number of equations to process: 2522
% Current number of ordered equations: 4
% Current number of rules: 1581
% New rule produced :
% [1615]
% product(A,product(product(product(A,product(B,A)),C),D)) <->
% product(product(product(product(A,product(A,B)),A),product(A,C)),product(A,D))
% Current number of equations to process: 2522
% Current number of ordered equations: 3
% Current number of rules: 1582
% New rule produced :
% [1616]
% product(A,product(product(B,product(A,product(C,A))),D)) <->
% product(product(product(A,B),product(product(A,product(A,C)),A)),product(A,D))
% Current number of equations to process: 2522
% Current number of ordered equations: 2
% Current number of rules: 1583
% New rule produced :
% [1617]
% product(A,product(product(B,C),product(A,product(D,A)))) <->
% product(product(product(A,B),product(A,C)),product(product(A,product(A,D)),A))
% Current number of equations to process: 2522
% Current number of ordered equations: 1
% Current number of rules: 1584
% New rule produced :
% [1618]
% product(product(product(A,B),product(A,C)),product(product(A,product(A,D)),A))
% <-> product(A,product(product(B,C),product(A,product(D,A))))
% Current number of equations to process: 2522
% Current number of ordered equations: 0
% Current number of rules: 1585
% New rule produced :
% [1619]
% product(A,product(B,product(product(B,product(C,B)),D))) <->
% product(product(A,product(product(B,product(B,C)),B)),product(A,product(B,D)))
% Current number of equations to process: 2520
% Current number of ordered equations: 3
% Current number of rules: 1586
% New rule produced :
% [1620]
% product(A,product(B,product(C,product(B,product(D,B))))) <->
% product(product(A,product(B,C)),product(A,product(product(B,product(B,D)),B)))
% Current number of equations to process: 2520
% Current number of ordered equations: 2
% Current number of rules: 1587
% New rule produced :
% [1621]
% product(product(A,product(B,C)),product(A,product(product(B,product(B,D)),B)))
% <-> product(A,product(B,product(C,product(B,product(D,B)))))
% Current number of equations to process: 2520
% Current number of ordered equations: 1
% Current number of rules: 1588
% New rule produced :
% [1622]
% product(product(A,product(product(B,product(B,C)),B)),product(A,product(B,D)))
% <-> product(A,product(B,product(product(B,product(C,B)),D)))
% Current number of equations to process: 2520
% Current number of ordered equations: 0
% Current number of rules: 1589
% New rule produced :
% [1623]
% product(A,product(product(product(B,A),A),A)) <->
% product(product(product(product(A,B),A),A),A)
% Current number of equations to process: 2637
% Current number of ordered equations: 1
% Current number of rules: 1590
% New rule produced :
% [1624]
% product(product(product(product(A,B),A),A),A) <->
% product(A,product(product(product(B,A),A),A))
% Current number of equations to process: 2637
% Current number of ordered equations: 0
% Current number of rules: 1591
% New rule produced :
% [1625]
% product(A,product(product(product(B,C),B),B)) <->
% product(product(A,B),product(product(A,product(C,B)),product(A,B)))
% Current number of equations to process: 2636
% Current number of ordered equations: 1
% Current number of rules: 1592
% New rule produced :
% [1626]
% product(product(A,B),product(product(A,product(C,B)),product(A,B))) <->
% product(A,product(product(product(B,C),B),B))
% Current number of equations to process: 2636
% Current number of ordered equations: 0
% Current number of rules: 1593
% New rule produced :
% [1627]
% product(A,product(product(product(product(B,C),B),B),B)) <->
% product(product(A,B),product(A,product(product(product(C,B),B),B)))
% Current number of equations to process: 2635
% Current number of ordered equations: 1
% Current number of rules: 1594
% New rule produced :
% [1628]
% product(product(A,B),product(A,product(product(product(C,B),B),B))) <->
% product(A,product(product(product(product(B,C),B),B),B))
% Current number of equations to process: 2635
% Current number of ordered equations: 0
% Current number of rules: 1595
% New rule produced :
% [1629]
% product(product(A,B),product(product(product(product(A,C),A),A),A)) <->
% product(A,product(B,product(product(product(C,A),A),A)))
% Current number of equations to process: 2634
% Current number of ordered equations: 1
% Current number of rules: 1596
% New rule produced :
% [1630]
% product(A,product(B,product(product(product(C,A),A),A))) <->
% product(product(A,B),product(product(product(product(A,C),A),A),A))
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 1597
% New rule produced :
% [1631]
% product(A,product(product(product(product(B,A),A),A),C)) <->
% product(product(product(product(product(A,B),A),A),A),product(A,C))
% Current number of equations to process: 2633
% Current number of ordered equations: 1
% Current number of rules: 1598
% New rule produced :
% [1632]
% product(product(product(product(product(A,B),A),A),A),product(A,C)) <->
% product(A,product(product(product(product(B,A),A),A),C))
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 1599
% New rule produced :
% [1633]
% product(A,product(product(product(product(B,C),B),B),A)) <->
% product(product(product(A,B),product(A,product(product(C,B),B))),A)
% Current number of equations to process: 2632
% Current number of ordered equations: 1
% Current number of rules: 1600
% New rule produced :
% [1634]
% product(product(product(A,B),product(A,product(product(C,B),B))),A) <->
% product(A,product(product(product(product(B,C),B),B),A))
% Current number of equations to process: 2632
% Current number of ordered equations: 0
% Current number of rules: 1601
% New rule produced :
% [1635]
% product(A,product(product(product(product(B,A),A),C),A)) <->
% product(product(product(product(product(A,B),A),A),product(A,C)),A)
% Current number of equations to process: 2630
% Current number of ordered equations: 3
% Current number of rules: 1602
% New rule produced :
% [1636]
% product(A,product(product(B,product(product(C,A),A)),A)) <->
% product(product(product(A,B),product(product(product(A,C),A),A)),A)
% Current number of equations to process: 2630
% Current number of ordered equations: 2
% Current number of rules: 1603
% New rule produced :
% [1637]
% product(product(product(A,B),product(product(product(A,C),A),A)),A) <->
% product(A,product(product(B,product(product(C,A),A)),A))
% Current number of equations to process: 2630
% Current number of ordered equations: 1
% Current number of rules: 1604
% New rule produced :
% [1638]
% product(product(product(product(product(A,B),A),A),product(A,C)),A) <->
% product(A,product(product(product(product(B,A),A),C),A))
% Current number of equations to process: 2630
% Current number of ordered equations: 0
% Current number of rules: 1605
% New rule produced :
% [1639]
% product(A,product(B,product(product(product(C,B),B),B))) <->
% product(product(A,product(product(product(B,C),B),B)),product(A,B))
% Current number of equations to process: 2629
% Current number of ordered equations: 1
% Current number of rules: 1606
% New rule produced :
% [1640]
% product(product(A,product(product(product(B,C),B),B)),product(A,B)) <->
% product(A,product(B,product(product(product(C,B),B),B)))
% Current number of equations to process: 2629
% Current number of ordered equations: 0
% Current number of rules: 1607
% New rule produced :
% [1641]
% product(A,product(product(B,C),product(product(product(B,D),B),B))) <->
% product(product(A,B),product(A,product(C,product(product(D,B),B))))
% Current number of equations to process: 2627
% Current number of ordered equations: 3
% Current number of rules: 1608
% New rule produced :
% [1642]
% product(A,product(product(product(product(B,C),B),B),product(B,D))) <->
% product(product(A,B),product(A,product(product(product(C,B),B),D)))
% Current number of equations to process: 2627
% Current number of ordered equations: 2
% Current number of rules: 1609
% New rule produced :
% [1643]
% product(product(A,B),product(A,product(product(product(C,B),B),D))) <->
% product(A,product(product(product(product(B,C),B),B),product(B,D)))
% Current number of equations to process: 2627
% Current number of ordered equations: 1
% Current number of rules: 1610
% New rule produced :
% [1644]
% product(product(A,B),product(A,product(C,product(product(D,B),B)))) <->
% product(A,product(product(B,C),product(product(product(B,D),B),B)))
% Current number of equations to process: 2627
% Current number of ordered equations: 0
% Current number of rules: 1611
% New rule produced :
% [1645]
% product(A,product(product(B,C),product(B,product(product(D,C),C)))) <->
% product(product(A,B),product(A,product(product(product(C,D),C),C)))
% Current number of equations to process: 2626
% Current number of ordered equations: 1
% Current number of rules: 1612
% New rule produced :
% [1646]
% product(product(A,B),product(A,product(product(product(C,D),C),C))) <->
% product(A,product(product(B,C),product(B,product(product(D,C),C))))
% Current number of equations to process: 2626
% Current number of ordered equations: 0
% Current number of rules: 1613
% New rule produced :
% [1647]
% product(A,product(product(product(product(B,C),B),B),D)) <->
% product(product(product(A,B),product(A,product(product(C,B),B))),product(A,D))
% Current number of equations to process: 2625
% Current number of ordered equations: 1
% Current number of rules: 1614
% New rule produced :
% [1648]
% product(product(product(A,B),product(A,product(product(C,B),B))),product(A,D))
% <-> product(A,product(product(product(product(B,C),B),B),D))
% Current number of equations to process: 2625
% Current number of ordered equations: 0
% Current number of rules: 1615
% New rule produced :
% [1649]
% product(A,product(B,product(product(product(C,D),C),C))) <->
% product(product(A,B),product(product(A,C),product(A,product(product(D,C),C))))
% Current number of equations to process: 2624
% Current number of ordered equations: 1
% Current number of rules: 1616
% New rule produced :
% [1650]
% product(product(A,B),product(product(A,C),product(A,product(product(D,C),C))))
% <-> product(A,product(B,product(product(product(C,D),C),C)))
% Current number of equations to process: 2624
% Current number of ordered equations: 0
% Current number of rules: 1617
% New rule produced :
% [1651]
% product(A,product(B,product(product(product(C,D),C),C))) <->
% product(product(A,product(B,C)),product(A,product(B,product(product(D,C),C))))
% Current number of equations to process: 2623
% Current number of ordered equations: 1
% Current number of rules: 1618
% New rule produced :
% [1652]
% product(product(A,product(B,C)),product(A,product(B,product(product(D,C),C))))
% <-> product(A,product(B,product(product(product(C,D),C),C)))
% Current number of equations to process: 2623
% Current number of ordered equations: 0
% Current number of rules: 1619
% New rule produced :
% [1653]
% product(product(A,B),product(product(A,C),product(product(product(A,D),A),A)))
% <-> product(A,product(B,product(C,product(product(D,A),A))))
% Current number of equations to process: 2620
% Current number of ordered equations: 5
% Current number of rules: 1620
% New rule produced :
% [1654]
% product(A,product(product(product(B,A),A),product(C,D))) <->
% product(product(product(product(A,B),A),A),product(product(A,C),product(A,D)))
% Current number of equations to process: 2620
% Current number of ordered equations: 4
% Current number of rules: 1621
% New rule produced :
% [1655]
% product(A,product(B,product(product(product(C,A),A),D))) <->
% product(product(A,B),product(product(product(product(A,C),A),A),product(A,D)))
% Current number of equations to process: 2620
% Current number of ordered equations: 3
% Current number of rules: 1622
% New rule produced :
% [1656]
% product(A,product(B,product(C,product(product(D,A),A)))) <->
% product(product(A,B),product(product(A,C),product(product(product(A,D),A),A)))
% Current number of equations to process: 2620
% Current number of ordered equations: 2
% Current number of rules: 1623
% New rule produced :
% [1657]
% product(product(A,B),product(product(product(product(A,C),A),A),product(A,D)))
% <-> product(A,product(B,product(product(product(C,A),A),D)))
% Current number of equations to process: 2620
% Current number of ordered equations: 1
% Current number of rules: 1624
% New rule produced :
% [1658]
% product(product(product(product(A,B),A),A),product(product(A,C),product(A,D)))
% <-> product(A,product(product(product(B,A),A),product(C,D)))
% Current number of equations to process: 2620
% Current number of ordered equations: 0
% Current number of rules: 1625
% New rule produced :
% [1659]
% product(A,product(product(product(product(B,A),A),C),D)) <->
% product(product(product(product(product(A,B),A),A),product(A,C)),product(A,D))
% Current number of equations to process: 2617
% Current number of ordered equations: 5
% Current number of rules: 1626
% New rule produced :
% [1660]
% product(A,product(product(B,product(product(C,A),A)),D)) <->
% product(product(product(A,B),product(product(product(A,C),A),A)),product(A,D))
% Current number of equations to process: 2617
% Current number of ordered equations: 4
% Current number of rules: 1627
% New rule produced :
% [1661]
% product(A,product(product(B,C),product(product(D,A),A))) <->
% product(product(product(A,B),product(A,C)),product(product(product(A,D),A),A))
% Current number of equations to process: 2617
% Current number of ordered equations: 3
% Current number of rules: 1628
% New rule produced :
% [1662]
% product(product(product(A,B),product(A,C)),product(product(product(A,D),A),A))
% <-> product(A,product(product(B,C),product(product(D,A),A)))
% Current number of equations to process: 2617
% Current number of ordered equations: 2
% Current number of rules: 1629
% New rule produced :
% [1663]
% product(product(product(A,B),product(product(product(A,C),A),A)),product(A,D))
% <-> product(A,product(product(B,product(product(C,A),A)),D))
% Current number of equations to process: 2617
% Current number of ordered equations: 1
% Current number of rules: 1630
% New rule produced :
% [1664]
% product(product(product(product(product(A,B),A),A),product(A,C)),product(A,D))
% <-> product(A,product(product(product(product(B,A),A),C),D))
% Current number of equations to process: 2617
% Current number of ordered equations: 0
% Current number of rules: 1631
% New rule produced :
% [1665]
% product(A,product(B,product(product(product(C,B),B),D))) <->
% product(product(A,product(product(product(B,C),B),B)),product(A,product(B,D)))
% Current number of equations to process: 2615
% Current number of ordered equations: 3
% Current number of rules: 1632
% New rule produced :
% [1666]
% product(A,product(B,product(C,product(product(D,B),B)))) <->
% product(product(A,product(B,C)),product(A,product(product(product(B,D),B),B)))
% Current number of equations to process: 2615
% Current number of ordered equations: 2
% Current number of rules: 1633
% New rule produced :
% [1667]
% product(product(A,product(B,C)),product(A,product(product(product(B,D),B),B)))
% <-> product(A,product(B,product(C,product(product(D,B),B))))
% Current number of equations to process: 2615
% Current number of ordered equations: 1
% Current number of rules: 1634
% New rule produced :
% [1668]
% product(product(A,product(product(product(B,C),B),B)),product(A,product(B,D)))
% <-> product(A,product(B,product(product(product(C,B),B),D)))
% Current number of equations to process: 2615
% Current number of ordered equations: 0
% Current number of rules: 1635
% New rule produced :
% [1669]
% product(A,product(product(A,product(product(B,C),A)),A)) <->
% product(product(product(product(A,product(A,B)),product(A,product(A,C))),A),A)
% Current number of equations to process: 2614
% Current number of ordered equations: 1
% Current number of rules: 1636
% New rule produced :
% [1670]
% product(product(product(product(A,product(A,B)),product(A,product(A,C))),A),A)
% <-> product(A,product(product(A,product(product(B,C),A)),A))
% Current number of equations to process: 2614
% Current number of ordered equations: 0
% Current number of rules: 1637
% New rule produced :
% [1671]
% product(A,product(A,product(product(B,A),A))) <->
% product(product(A,product(product(A,B),A)),A)
% Current number of equations to process: 2709
% Current number of ordered equations: 1
% Current number of rules: 1638
% New rule produced :
% [1672]
% product(product(A,product(product(A,B),A)),A) <->
% product(A,product(A,product(product(B,A),A)))
% Current number of equations to process: 2709
% Current number of ordered equations: 0
% Current number of rules: 1639
% New rule produced :
% [1673]
% product(A,product(A,product(product(B,A),A))) <->
% product(product(product(A,product(A,B)),A),A)
% Current number of equations to process: 2708
% Current number of ordered equations: 1
% Current number of rules: 1640
% New rule produced :
% [1674]
% product(product(product(A,product(A,B)),A),A) <->
% product(A,product(A,product(product(B,A),A)))
% Current number of equations to process: 2708
% Current number of ordered equations: 0
% Current number of rules: 1641
% New rule produced :
% [1675]
% product(A,product(product(product(A,product(B,A)),A),A)) <->
% product(product(product(product(A,product(A,B)),A),A),A)
% Current number of equations to process: 2706
% Current number of ordered equations: 3
% Current number of rules: 1642
% New rule produced :
% [1676]
% product(A,product(A,product(A,product(product(B,A),A)))) <->
% product(product(A,product(A,product(product(A,B),A))),A)
% Current number of equations to process: 2706
% Current number of ordered equations: 2
% Current number of rules: 1643
% New rule produced :
% [1677]
% product(product(product(product(A,product(A,B)),A),A),A) <->
% product(A,product(product(product(A,product(B,A)),A),A))
% Current number of equations to process: 2706
% Current number of ordered equations: 1
% Current number of rules: 1644
% New rule produced :
% [1678]
% product(product(A,product(A,product(product(A,B),A))),A) <->
% product(A,product(A,product(A,product(product(B,A),A))))
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 1645
% New rule produced :
% [1679]
% product(A,product(product(A,product(product(B,A),A)),A)) <->
% product(product(product(A,product(product(A,B),A)),A),A)
% Current number of equations to process: 2704
% Current number of ordered equations: 3
% Current number of rules: 1646
% New rule produced :
% [1680]
% product(A,product(product(product(product(B,A),A),A),A)) <->
% product(product(product(product(product(A,B),A),A),A),A)
% Current number of equations to process: 2704
% Current number of ordered equations: 2
% Current number of rules: 1647
% New rule produced :
% [1681]
% product(product(product(A,product(product(A,B),A)),A),A) <->
% product(A,product(product(A,product(product(B,A),A)),A))
% Current number of equations to process: 2704
% Current number of ordered equations: 1
% Current number of rules: 1648
% New rule produced :
% [1682]
% product(product(product(product(product(A,B),A),A),A),A) <->
% product(A,product(product(product(product(B,A),A),A),A))
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 1649
% New rule produced :
% [1683]
% product(A,product(product(product(product(B,C),B),A),A)) <->
% product(product(product(product(A,B),product(A,product(C,B))),A),A)
% Current number of equations to process: 2703
% Current number of ordered equations: 1
% Current number of rules: 1650
% New rule produced :
% [1684]
% product(product(product(product(A,B),product(A,product(C,B))),A),A) <->
% product(A,product(product(product(product(B,C),B),A),A))
% Current number of equations to process: 2703
% Current number of ordered equations: 0
% Current number of rules: 1651
% New rule produced :
% [1685]
% product(A,product(product(B,product(product(B,C),B)),B)) <->
% product(product(A,B),product(A,product(B,product(product(C,B),B))))
% Current number of equations to process: 2702
% Current number of ordered equations: 1
% Current number of rules: 1652
% New rule produced :
% [1686]
% product(product(A,B),product(A,product(B,product(product(C,B),B)))) <->
% product(A,product(product(B,product(product(B,C),B)),B))
% Current number of equations to process: 2702
% Current number of ordered equations: 0
% Current number of rules: 1653
% New rule produced :
% [1687]
% product(A,product(product(A,product(product(B,A),A)),C)) <->
% product(product(product(A,product(product(A,B),A)),A),product(A,C))
% Current number of equations to process: 2700
% Current number of ordered equations: 3
% Current number of rules: 1654
% New rule produced :
% [1688]
% product(A,product(product(product(product(B,A),C),A),A)) <->
% product(product(product(product(product(A,B),A),product(A,C)),A),A)
% Current number of equations to process: 2700
% Current number of ordered equations: 2
% Current number of rules: 1655
% New rule produced :
% [1689]
% product(product(product(product(product(A,B),A),product(A,C)),A),A) <->
% product(A,product(product(product(product(B,A),C),A),A))
% Current number of equations to process: 2700
% Current number of ordered equations: 1
% Current number of rules: 1656
% New rule produced :
% [1690]
% product(product(product(A,product(product(A,B),A)),A),product(A,C)) <->
% product(A,product(product(A,product(product(B,A),A)),C))
% Current number of equations to process: 2700
% Current number of ordered equations: 0
% Current number of rules: 1657
% New rule produced :
% [1691]
% product(A,product(product(product(B,product(A,B)),A),A)) <->
% product(product(product(product(product(A,B),A),product(A,B)),A),A)
% Current number of equations to process: 2699
% Current number of ordered equations: 1
% Current number of rules: 1658
% New rule produced :
% [1692]
% product(product(product(product(product(A,B),A),product(A,B)),A),A) <->
% product(A,product(product(product(B,product(A,B)),A),A))
% Current number of equations to process: 2699
% Current number of ordered equations: 0
% Current number of rules: 1659
% New rule produced :
% [1693]
% product(A,product(product(product(B,product(C,A)),A),A)) <->
% product(product(product(product(A,B),product(product(A,C),A)),A),A)
% Current number of equations to process: 2697
% Current number of ordered equations: 3
% Current number of rules: 1660
% New rule produced :
% [1694]
% product(A,product(B,product(A,product(product(C,A),A)))) <->
% product(product(A,B),product(product(A,product(product(A,C),A)),A))
% Current number of equations to process: 2697
% Current number of ordered equations: 2
% Current number of rules: 1661
% New rule produced :
% [1695]
% product(product(A,B),product(product(A,product(product(A,C),A)),A)) <->
% product(A,product(B,product(A,product(product(C,A),A))))
% Current number of equations to process: 2697
% Current number of ordered equations: 1
% Current number of rules: 1662
% New rule produced :
% [1696]
% product(product(product(product(A,B),product(product(A,C),A)),A),A) <->
% product(A,product(product(product(B,product(C,A)),A),A))
% Current number of equations to process: 2697
% Current number of ordered equations: 0
% Current number of rules: 1663
% New rule produced :
% [1697]
% product(A,product(B,product(B,product(product(C,B),B)))) <->
% product(product(A,product(B,product(product(B,C),B))),product(A,B))
% Current number of equations to process: 2695
% Current number of ordered equations: 3
% Current number of rules: 1664
% New rule produced :
% [1698]
% product(A,product(product(product(B,product(C,B)),A),A)) <->
% product(product(product(product(A,product(B,C)),product(A,B)),A),A)
% Current number of equations to process: 2695
% Current number of ordered equations: 2
% Current number of rules: 1665
% New rule produced :
% [1699]
% product(product(product(product(A,product(B,C)),product(A,B)),A),A) <->
% product(A,product(product(product(B,product(C,B)),A),A))
% Current number of equations to process: 2695
% Current number of ordered equations: 1
% Current number of rules: 1666
% New rule produced :
% [1700]
% product(product(A,product(B,product(product(B,C),B))),product(A,B)) <->
% product(A,product(B,product(B,product(product(C,B),B))))
% Current number of equations to process: 2695
% Current number of ordered equations: 0
% Current number of rules: 1667
% New rule produced :
% [1701]
% product(A,product(product(product(product(B,C),A),A),A)) <->
% product(product(product(product(product(A,B),product(A,C)),A),A),A)
% Current number of equations to process: 2693
% Current number of ordered equations: 3
% Current number of rules: 1668
% New rule produced :
% [1702]
% product(A,product(product(B,product(product(C,B),B)),A)) <->
% product(product(product(A,product(product(B,C),B)),product(A,B)),A)
% Current number of equations to process: 2693
% Current number of ordered equations: 2
% Current number of rules: 1669
% New rule produced :
% [1703]
% product(product(product(product(product(A,B),product(A,C)),A),A),A) <->
% product(A,product(product(product(product(B,C),A),A),A))
% Current number of equations to process: 2693
% Current number of ordered equations: 1
% Current number of rules: 1670
% New rule produced :
% [1704]
% product(product(product(A,product(product(B,C),B)),product(A,B)),A) <->
% product(A,product(product(B,product(product(C,B),B)),A))
% Current number of equations to process: 2693
% Current number of ordered equations: 0
% Current number of rules: 1671
% New rule produced :
% [1705]
% product(product(product(A,B),A),product(A,product(product(A,B),A))) <->
% product(product(A,product(product(B,A),A)),product(product(A,B),A))
% Current number of equations to process: 2692
% Current number of ordered equations: 1
% Current number of rules: 1672
% New rule produced :
% [1706]
% product(product(A,product(product(B,A),A)),product(product(A,B),A)) <->
% product(product(product(A,B),A),product(A,product(product(A,B),A)))
% Current number of equations to process: 2692
% Current number of ordered equations: 0
% Current number of rules: 1673
% New rule produced :
% [1707]
% product(A,product(product(product(product(B,C),product(B,D)),A),A)) <->
% product(product(product(product(A,B),product(A,product(C,D))),A),A)
% Current number of equations to process: 2691
% Current number of ordered equations: 1
% Current number of rules: 1674
% New rule produced :
% [1708]
% product(product(product(product(A,B),product(A,product(C,D))),A),A) <->
% product(A,product(product(product(product(B,C),product(B,D)),A),A))
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 1675
% New rule produced :
% [1709]
% product(A,product(product(B,product(product(C,D),C)),product(B,C))) <->
% product(product(A,B),product(A,product(C,product(product(D,C),C))))
% Current number of equations to process: 2690
% Current number of ordered equations: 1
% Current number of rules: 1676
% New rule produced :
% [1710]
% product(product(A,B),product(A,product(C,product(product(D,C),C)))) <->
% product(A,product(product(B,product(product(C,D),C)),product(B,C)))
% Current number of equations to process: 2690
% Current number of ordered equations: 0
% Current number of rules: 1677
% New rule produced :
% [1711]
% product(product(product(A,B),A),product(product(A,product(A,B)),A)) <->
% product(product(A,product(product(B,A),A)),product(product(A,B),A))
% Current number of equations to process: 2689
% Current number of ordered equations: 1
% Current number of rules: 1678
% New rule produced :
% [1712]
% product(product(A,product(product(B,A),A)),product(product(A,B),A)) <->
% product(product(product(A,B),A),product(product(A,product(A,B)),A))
% Current number of equations to process: 2689
% Current number of ordered equations: 0
% Current number of rules: 1679
% New rule produced :
% [1713]
% product(A,product(product(B,product(product(C,B),B)),D)) <->
% product(product(product(A,product(product(B,C),B)),product(A,B)),product(A,D))
% Current number of equations to process: 2687
% Current number of ordered equations: 3
% Current number of rules: 1680
% New rule produced :
% [1714]
% product(A,product(product(product(product(B,C),D),A),A)) <->
% product(product(product(product(product(A,B),product(A,C)),product(A,D)),A),A)
% Current number of equations to process: 2687
% Current number of ordered equations: 2
% Current number of rules: 1681
% New rule produced :
% [1715]
% product(product(product(product(product(A,B),product(A,C)),product(A,D)),A),A)
% <-> product(A,product(product(product(product(B,C),D),A),A))
% Current number of equations to process: 2687
% Current number of ordered equations: 1
% Current number of rules: 1682
% New rule produced :
% [1716]
% product(product(product(A,product(product(B,C),B)),product(A,B)),product(A,D))
% <-> product(A,product(product(B,product(product(C,B),B)),D))
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 1683
% New rule produced :
% [1717]
% product(A,product(B,product(C,product(product(D,C),C)))) <->
% product(product(A,B),product(product(A,product(product(C,D),C)),product(A,C)))
% Current number of equations to process: 2685
% Current number of ordered equations: 3
% Current number of rules: 1684
% New rule produced :
% [1718]
% product(A,product(product(product(B,product(C,D)),A),A)) <->
% product(product(product(product(A,B),product(product(A,C),product(A,D))),A),A)
% Current number of equations to process: 2685
% Current number of ordered equations: 2
% Current number of rules: 1685
% New rule produced :
% [1719]
% product(product(A,B),product(product(A,product(product(C,D),C)),product(A,C)))
% <-> product(A,product(B,product(C,product(product(D,C),C))))
% Current number of equations to process: 2685
% Current number of ordered equations: 1
% Current number of rules: 1686
% New rule produced :
% [1720]
% product(product(product(product(A,B),product(product(A,C),product(A,D))),A),A)
% <-> product(A,product(product(product(B,product(C,D)),A),A))
% Current number of equations to process: 2685
% Current number of ordered equations: 0
% Current number of rules: 1687
% New rule produced :
% [1721]
% product(A,product(B,product(C,product(product(D,C),C)))) <->
% product(product(A,product(B,product(product(C,D),C))),product(A,product(B,C)))
% Current number of equations to process: 2683
% Current number of ordered equations: 3
% Current number of rules: 1688
% New rule produced :
% [1722]
% product(A,product(product(product(B,product(C,D)),A),A)) <->
% product(product(product(product(A,product(B,C)),product(A,product(B,D))),A),A)
% Current number of equations to process: 2683
% Current number of ordered equations: 2
% Current number of rules: 1689
% New rule produced :
% [1723]
% product(product(product(product(A,product(B,C)),product(A,product(B,D))),A),A)
% <-> product(A,product(product(product(B,product(C,D)),A),A))
% Current number of equations to process: 2683
% Current number of ordered equations: 1
% Current number of rules: 1690
% New rule produced :
% [1724]
% product(product(A,product(B,product(product(C,D),C))),product(A,product(B,C)))
% <-> product(A,product(B,product(C,product(product(D,C),C))))
% Current number of equations to process: 2683
% Current number of ordered equations: 0
% Current number of rules: 1691
% New rule produced :
% [1725]
% product(product(A,B),product(product(product(A,C),product(A,B)),product(A,B)))
% <-> product(product(A,product(product(B,C),B)),product(A,B))
% Current number of equations to process: 2682
% Current number of ordered equations: 1
% Current number of rules: 1692
% New rule produced :
% [1726]
% product(product(A,product(product(B,C),B)),product(A,B)) <->
% product(product(A,B),product(product(product(A,C),product(A,B)),product(A,B)))
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 1693
% New rule produced :
% [1727]
% product(A,product(A,product(A,product(A,product(B,A))))) <->
% product(product(A,product(A,product(A,product(A,B)))),A)
% Current number of equations to process: 2772
% Current number of ordered equations: 3
% Current number of rules: 1694
% New rule produced :
% [1728]
% product(A,product(A,product(product(A,product(B,A)),A))) <->
% product(product(A,product(product(A,product(A,B)),A)),A)
% Current number of equations to process: 2772
% Current number of ordered equations: 2
% Current number of rules: 1695
% New rule produced :
% [1729]
% product(product(A,product(A,product(A,product(A,B)))),A) <->
% product(A,product(A,product(A,product(A,product(B,A)))))
% Current number of equations to process: 2772
% Current number of ordered equations: 1
% Current number of rules: 1696
% New rule produced :
% [1730]
% product(product(A,product(product(A,product(A,B)),A)),A) <->
% product(A,product(A,product(product(A,product(B,A)),A)))
% Current number of equations to process: 2772
% Current number of ordered equations: 0
% Current number of rules: 1697
% New rule produced :
% [1731]
% product(A,product(A,product(product(product(B,A),A),A))) <->
% product(product(A,product(product(product(A,B),A),A)),A)
% Current number of equations to process: 2770
% Current number of ordered equations: 3
% Current number of rules: 1698
% New rule produced :
% [1732]
% product(A,product(product(A,product(A,product(B,A))),A)) <->
% product(product(product(A,product(A,product(A,B))),A),A)
% Current number of equations to process: 2770
% Current number of ordered equations: 2
% Current number of rules: 1699
% New rule produced :
% [1733]
% product(product(A,product(product(product(A,B),A),A)),A) <->
% product(A,product(A,product(product(product(B,A),A),A)))
% Current number of equations to process: 2770
% Current number of ordered equations: 1
% Current number of rules: 1700
% New rule produced :
% [1734]
% product(product(product(A,product(A,product(A,B))),A),A) <->
% product(A,product(product(A,product(A,product(B,A))),A))
% Current number of equations to process: 2770
% Current number of ordered equations: 0
% Current number of rules: 1701
% New rule produced :
% [1735]
% product(A,product(B,product(B,product(C,B)))) <->
% product(product(product(A,B),product(A,product(B,C))),product(A,B))
% Current number of equations to process: 2769
% Current number of ordered equations: 1
% Current number of rules: 1702
% New rule produced :
% [1736]
% product(product(product(A,B),product(A,product(B,C))),product(A,B)) <->
% product(A,product(B,product(B,product(C,B))))
% Current number of equations to process: 2769
% Current number of ordered equations: 0
% Current number of rules: 1703
% New rule produced :
% [1737]
% product(product(A,B),product(A,product(A,product(C,A)))) <->
% product(product(A,product(B,product(A,C))),product(product(A,B),A))
% Rule
% [726]
% product(product(A,B),product(A,product(A,product(B,A)))) <->
% product(product(A,product(B,product(A,B))),product(product(A,B),A))
% collapsed.
% Current number of equations to process: 2768
% Current number of ordered equations: 1
% Current number of rules: 1703
% New rule produced :
% [1738]
% product(product(A,product(B,product(A,C))),product(product(A,B),A)) <->
% product(product(A,B),product(A,product(A,product(C,A))))
% Rule
% [727]
% product(product(A,product(B,product(A,B))),product(product(A,B),A)) <->
% product(product(A,B),product(A,product(A,product(B,A)))) collapsed.
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 1703
% New rule produced :
% [1739]
% product(A,product(product(B,product(B,product(B,C))),B)) <->
% product(product(A,B),product(A,product(B,product(B,product(C,B)))))
% Current number of equations to process: 2767
% Current number of ordered equations: 1
% Current number of rules: 1704
% New rule produced :
% [1740]
% product(product(A,B),product(A,product(B,product(B,product(C,B))))) <->
% product(A,product(product(B,product(B,product(B,C))),B))
% Current number of equations to process: 2767
% Current number of ordered equations: 0
% Current number of rules: 1705
% New rule produced :
% [1741]
% product(A,product(product(A,product(A,product(B,A))),C)) <->
% product(product(product(A,product(A,product(A,B))),A),product(A,C))
% Current number of equations to process: 2766
% Current number of ordered equations: 1
% Current number of rules: 1706
% New rule produced :
% [1742]
% product(product(product(A,product(A,product(A,B))),A),product(A,C)) <->
% product(A,product(product(A,product(A,product(B,A))),C))
% Current number of equations to process: 2766
% Current number of ordered equations: 0
% Current number of rules: 1707
% New rule produced :
% [1743]
% product(A,product(B,product(A,product(A,product(C,A))))) <->
% product(product(A,B),product(product(A,product(A,product(A,C))),A))
% Current number of equations to process: 2765
% Current number of ordered equations: 1
% Current number of rules: 1708
% New rule produced :
% [1744]
% product(product(A,B),product(product(A,product(A,product(A,C))),A)) <->
% product(A,product(B,product(A,product(A,product(C,A)))))
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 1709
% New rule produced :
% [1745]
% product(product(A,B),product(product(A,B),product(A,product(A,B)))) <->
% product(product(A,product(B,product(B,A))),product(A,B))
% Current number of equations to process: 2764
% Current number of ordered equations: 1
% Current number of rules: 1710
% New rule produced :
% [1746]
% product(product(A,product(B,product(B,A))),product(A,B)) <->
% product(product(A,B),product(product(A,B),product(A,product(A,B))))
% Current number of equations to process: 2764
% Current number of ordered equations: 0
% Current number of rules: 1711
% New rule produced :
% [1747]
% product(A,product(B,product(B,product(B,product(C,B))))) <->
% product(product(A,product(B,product(B,product(B,C)))),product(A,B))
% Current number of equations to process: 2763
% Current number of ordered equations: 1
% Current number of rules: 1712
% New rule produced :
% [1748]
% product(product(A,product(B,product(B,product(B,C)))),product(A,B)) <->
% product(A,product(B,product(B,product(B,product(C,B)))))
% Current number of equations to process: 2763
% Current number of ordered equations: 0
% Current number of rules: 1713
% New rule produced :
% [1749]
% product(A,product(product(B,product(B,product(C,B))),A)) <->
% product(product(product(A,product(B,product(B,C))),product(A,B)),A)
% Current number of equations to process: 2762
% Current number of ordered equations: 1
% Current number of rules: 1714
% New rule produced :
% [1750]
% product(product(product(A,product(B,product(B,C))),product(A,B)),A) <->
% product(A,product(product(B,product(B,product(C,B))),A))
% Current number of equations to process: 2762
% Current number of ordered equations: 0
% Current number of rules: 1715
% New rule produced :
% [1751]
% product(A,product(product(B,product(C,product(C,D))),product(B,C))) <->
% product(product(A,B),product(A,product(C,product(C,product(D,C)))))
% Current number of equations to process: 2761
% Current number of ordered equations: 1
% Current number of rules: 1716
% New rule produced :
% [1752]
% product(product(A,B),product(A,product(C,product(C,product(D,C))))) <->
% product(A,product(product(B,product(C,product(C,D))),product(B,C)))
% Current number of equations to process: 2761
% Current number of ordered equations: 0
% Current number of rules: 1717
% New rule produced :
% [1753]
% product(product(A,B),product(A,product(product(C,D),product(C,V_4)))) <->
% product(product(A,product(B,C)),product(A,product(B,product(D,V_4))))
% Current number of equations to process: 2760
% Current number of ordered equations: 1
% Current number of rules: 1718
% New rule produced :
% [1754]
% product(product(A,product(B,C)),product(A,product(B,product(D,V_4)))) <->
% product(product(A,B),product(A,product(product(C,D),product(C,V_4))))
% Current number of equations to process: 2760
% Current number of ordered equations: 0
% Current number of rules: 1719
% New rule produced :
% [1755]
% product(A,product(product(B,product(B,product(C,B))),D)) <->
% product(product(product(A,product(B,product(B,C))),product(A,B)),product(A,D))
% Current number of equations to process: 2759
% Current number of ordered equations: 1
% Current number of rules: 1720
% New rule produced :
% [1756]
% product(product(product(A,product(B,product(B,C))),product(A,B)),product(A,D))
% <-> product(A,product(product(B,product(B,product(C,B))),D))
% Current number of equations to process: 2759
% Current number of ordered equations: 0
% Current number of rules: 1721
% New rule produced :
% [1757]
% product(A,product(B,product(C,product(C,product(D,C))))) <->
% product(product(A,B),product(product(A,product(C,product(C,D))),product(A,C)))
% Current number of equations to process: 2758
% Current number of ordered equations: 1
% Current number of rules: 1722
% New rule produced :
% [1758]
% product(product(A,B),product(product(A,product(C,product(C,D))),product(A,C)))
% <-> product(A,product(B,product(C,product(C,product(D,C)))))
% Current number of equations to process: 2758
% Current number of ordered equations: 0
% Current number of rules: 1723
% New rule produced :
% [1759]
% product(A,product(B,product(C,product(C,product(D,C))))) <->
% product(product(A,product(B,product(C,product(C,D)))),product(A,product(B,C)))
% Current number of equations to process: 2757
% Current number of ordered equations: 1
% Current number of rules: 1724
% New rule produced :
% [1760]
% product(product(A,product(B,product(C,product(C,D)))),product(A,product(B,C)))
% <-> product(A,product(B,product(C,product(C,product(D,C)))))
% Current number of equations to process: 2757
% Current number of ordered equations: 0
% Current number of rules: 1725
% New rule produced :
% [1761]
% product(A,product(A,product(product(product(B,C),B),A))) <->
% product(product(product(A,product(A,B)),product(A,product(A,product(C,B)))),A)
% Current number of equations to process: 2756
% Current number of ordered equations: 1
% Current number of rules: 1726
% New rule produced :
% [1762]
% product(product(product(A,product(A,B)),product(A,product(A,product(C,B)))),A)
% <-> product(A,product(A,product(product(product(B,C),B),A)))
% Current number of equations to process: 2756
% Current number of ordered equations: 0
% Current number of rules: 1727
% New rule produced :
% [1763]
% product(A,product(A,product(product(B,product(A,B)),A))) <->
% product(product(product(A,product(A,product(B,A))),product(A,product(A,B))),A)
% Current number of equations to process: 2755
% Current number of ordered equations: 1
% Current number of rules: 1728
% New rule produced :
% [1764]
% product(product(product(A,product(A,product(B,A))),product(A,product(A,B))),A)
% <-> product(A,product(A,product(product(B,product(A,B)),A)))
% Current number of equations to process: 2755
% Current number of ordered equations: 0
% Current number of rules: 1729
% New rule produced :
% [1765]
% product(A,product(A,product(product(B,product(C,A)),A))) <->
% product(product(product(A,product(A,B)),product(A,product(product(A,C),A))),A)
% Current number of equations to process: 2754
% Current number of ordered equations: 1
% Current number of rules: 1730
% New rule produced :
% [1766]
% product(product(product(A,product(A,B)),product(A,product(product(A,C),A))),A)
% <-> product(A,product(A,product(product(B,product(C,A)),A)))
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 1731
% New rule produced :
% [1767]
% product(A,product(A,product(product(B,product(C,B)),A))) <->
% product(product(product(A,product(A,product(B,C))),product(A,product(A,B))),A)
% Rule
% [1763]
% product(A,product(A,product(product(B,product(A,B)),A))) <->
% product(product(product(A,product(A,product(B,A))),product(A,product(A,B))),A)
% collapsed.
% Current number of equations to process: 2753
% Current number of ordered equations: 1
% Current number of rules: 1731
% New rule produced :
% [1768]
% product(product(product(A,product(A,product(B,C))),product(A,product(A,B))),A)
% <-> product(A,product(A,product(product(B,product(C,B)),A)))
% Rule
% [1764]
% product(product(product(A,product(A,product(B,A))),product(A,product(A,B))),A)
% <-> product(A,product(A,product(product(B,product(A,B)),A))) collapsed.
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 1731
% New rule produced :
% [1769]
% product(A,product(A,product(product(product(B,C),A),A))) <->
% product(product(product(product(A,product(A,B)),product(A,product(A,C))),A),A)
% Current number of equations to process: 2752
% Current number of ordered equations: 1
% Current number of rules: 1732
% New rule produced :
% [1770]
% product(product(product(product(A,product(A,B)),product(A,product(A,C))),A),A)
% <-> product(A,product(A,product(product(product(B,C),A),A)))
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 1733
% New rule produced :
% [1771]
% product(product(A,B),product(A,product(C,product(D,V_4)))) <->
% product(product(A,product(B,product(C,D))),product(A,product(B,product(C,V_4))))
% Current number of equations to process: 2751
% Current number of ordered equations: 1
% Current number of rules: 1734
% New rule produced :
% [1772]
% product(product(A,product(B,product(C,D))),product(A,product(B,product(C,V_4))))
% <-> product(product(A,B),product(A,product(C,product(D,V_4))))
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 1735
% New rule produced :
% [1773]
% product(product(A,B),product(product(A,B),product(product(A,C),product(A,B))))
% <-> product(product(product(A,B),product(A,product(B,C))),product(A,B))
% Current number of equations to process: 2749
% Current number of ordered equations: 3
% Current number of rules: 1736
% New rule produced :
% [1774]
% product(product(A,product(B,A)),product(product(A,C),product(A,product(B,A))))
% <-> product(product(A,product(product(B,A),C)),product(product(A,B),A))
% Current number of equations to process: 2749
% Current number of ordered equations: 2
% Current number of rules: 1737
% New rule produced :
% [1775]
% product(product(A,product(product(B,A),C)),product(product(A,B),A)) <->
% product(product(A,product(B,A)),product(product(A,C),product(A,product(B,A))))
% Current number of equations to process: 2749
% Current number of ordered equations: 1
% Current number of rules: 1738
% New rule produced :
% [1776]
% product(product(product(A,B),product(A,product(B,C))),product(A,B)) <->
% product(product(A,B),product(product(A,B),product(product(A,C),product(A,B))))
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 1739
% New rule produced :
% [1777]
% product(A,product(product(B,C),product(product(B,D),product(B,C)))) <->
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,C)))
% Current number of equations to process: 2748
% Current number of ordered equations: 1
% Current number of rules: 1740
% New rule produced :
% [1778]
% product(product(A,product(B,product(C,D))),product(product(A,B),product(A,C)))
% <-> product(A,product(product(B,C),product(product(B,D),product(B,C))))
% Current number of equations to process: 2748
% Current number of ordered equations: 0
% Current number of rules: 1741
% New rule produced :
% [1779]
% product(product(A,B),product(product(A,product(C,D)),product(A,B))) <->
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(A,B))
% Current number of equations to process: 2747
% Current number of ordered equations: 1
% Current number of rules: 1742
% New rule produced :
% [1780]
% product(product(product(A,product(B,C)),product(A,product(B,D))),product(A,B))
% <-> product(product(A,B),product(product(A,product(C,D)),product(A,B)))
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 1743
% New rule produced :
% [1781]
% product(product(A,product(B,A)),product(A,product(product(B,C),product(B,A))))
% <-> product(product(A,product(B,product(A,C))),product(product(A,B),A))
% Current number of equations to process: 2746
% Current number of ordered equations: 1
% Current number of rules: 1744
% New rule produced :
% [1782]
% product(product(A,product(B,product(A,C))),product(product(A,B),A)) <->
% product(product(A,product(B,A)),product(A,product(product(B,C),product(B,A))))
% Current number of equations to process: 2746
% Current number of ordered equations: 0
% Current number of rules: 1745
% New rule produced :
% [1783]
% product(product(A,product(B,C)),product(A,product(A,product(B,C)))) <->
% product(product(product(product(A,B),product(A,C)),A),product(A,product(B,C)))
% Current number of equations to process: 2744
% Current number of ordered equations: 1
% Current number of rules: 1746
% New rule produced :
% [1784]
% product(product(product(product(A,B),product(A,C)),A),product(A,product(B,C)))
% <-> product(product(A,product(B,C)),product(A,product(A,product(B,C))))
% Current number of equations to process: 2744
% Current number of ordered equations: 0
% Current number of rules: 1747
% New rule produced :
% [1785]
% product(product(A,B),product(product(product(A,product(A,C)),A),D)) <->
% product(product(A,product(B,product(A,product(C,A)))),product(product(A,B),D))
% Current number of equations to process: 2743
% Current number of ordered equations: 1
% Current number of rules: 1748
% New rule produced :
% [1786]
% product(product(A,product(B,product(A,product(C,A)))),product(product(A,B),D))
% <-> product(product(A,B),product(product(product(A,product(A,C)),A),D))
% Current number of equations to process: 2743
% Current number of ordered equations: 0
% Current number of rules: 1749
% New rule produced :
% [1787]
% product(product(A,B),product(C,product(product(A,product(A,D)),A))) <->
% product(product(product(A,B),C),product(A,product(B,product(A,product(D,A)))))
% Current number of equations to process: 2742
% Current number of ordered equations: 1
% Current number of rules: 1750
% New rule produced :
% [1788]
% product(product(product(A,B),C),product(A,product(B,product(A,product(D,A)))))
% <-> product(product(A,B),product(C,product(product(A,product(A,D)),A)))
% Current number of equations to process: 2742
% Current number of ordered equations: 0
% Current number of rules: 1751
% New rule produced :
% [1789]
% product(product(A,B),product(product(A,product(B,product(C,B))),D)) <->
% product(product(A,product(product(B,product(B,C)),B)),product(product(A,B),D))
% Current number of equations to process: 2741
% Current number of ordered equations: 1
% Current number of rules: 1752
% New rule produced :
% [1790]
% product(product(A,product(product(B,product(B,C)),B)),product(product(A,B),D))
% <-> product(product(A,B),product(product(A,product(B,product(C,B))),D))
% Current number of equations to process: 2741
% Current number of ordered equations: 0
% Current number of rules: 1753
% New rule produced :
% [1791]
% product(product(A,B),product(C,product(A,product(B,product(D,B))))) <->
% product(product(product(A,B),C),product(A,product(product(B,product(B,D)),B)))
% Current number of equations to process: 2740
% Current number of ordered equations: 1
% Current number of rules: 1754
% New rule produced :
% [1792]
% product(product(product(A,B),C),product(A,product(product(B,product(B,D)),B)))
% <-> product(product(A,B),product(C,product(A,product(B,product(D,B)))))
% Current number of equations to process: 2740
% Current number of ordered equations: 0
% Current number of rules: 1755
% New rule produced :
% [1793]
% product(product(product(A,B),product(product(A,product(A,C)),A)),product(A,B))
% <-> product(product(A,B),product(A,product(product(A,product(C,A)),B)))
% Current number of equations to process: 2739
% Current number of ordered equations: 1
% Current number of rules: 1756
% New rule produced :
% [1794]
% product(product(A,B),product(A,product(product(A,product(C,A)),B))) <->
% product(product(product(A,B),product(product(A,product(A,C)),A)),product(A,B))
% Current number of equations to process: 2739
% Current number of ordered equations: 0
% Current number of rules: 1757
% New rule produced :
% [1795]
% product(product(A,B),product(A,product(A,product(A,product(B,A))))) <->
% product(product(A,product(B,product(A,product(A,B)))),product(A,product(B,A)))
% Current number of equations to process: 2738
% Current number of ordered equations: 1
% Current number of rules: 1758
% New rule produced :
% [1796]
% product(product(A,product(B,product(A,product(A,B)))),product(A,product(B,A)))
% <-> product(product(A,B),product(A,product(A,product(A,product(B,A)))))
% Current number of equations to process: 2738
% Current number of ordered equations: 0
% Current number of rules: 1759
% New rule produced :
% [1797]
% product(product(A,B),product(product(product(A,product(A,C)),A),product(A,B)))
% <-> product(product(A,product(B,product(A,product(C,A)))),product(A,B))
% Current number of equations to process: 2737
% Current number of ordered equations: 1
% Current number of rules: 1760
% New rule produced :
% [1798]
% product(product(A,product(B,product(A,product(C,A)))),product(A,B)) <->
% product(product(A,B),product(product(product(A,product(A,C)),A),product(A,B)))
% Current number of equations to process: 2737
% Current number of ordered equations: 0
% Current number of rules: 1761
% New rule produced :
% [1799]
% product(product(A,B),product(product(A,product(B,product(C,B))),product(A,B)))
% <-> product(product(A,product(product(B,product(B,C)),B)),product(A,B))
% Current number of equations to process: 2736
% Current number of ordered equations: 1
% Current number of rules: 1762
% New rule produced :
% [1800]
% product(product(A,product(product(B,product(B,C)),B)),product(A,B)) <->
% product(product(A,B),product(product(A,product(B,product(C,B))),product(A,B)))
% Current number of equations to process: 2736
% Current number of ordered equations: 0
% Current number of rules: 1763
% New rule produced :
% [1801]
% product(product(A,B),product(product(product(product(A,C),A),A),D)) <->
% product(product(A,product(B,product(product(C,A),A))),product(product(A,B),D))
% Current number of equations to process: 2735
% Current number of ordered equations: 1
% Current number of rules: 1764
% New rule produced :
% [1802]
% product(product(A,product(B,product(product(C,A),A))),product(product(A,B),D))
% <-> product(product(A,B),product(product(product(product(A,C),A),A),D))
% Current number of equations to process: 2735
% Current number of ordered equations: 0
% Current number of rules: 1765
% New rule produced :
% [1803]
% product(product(A,B),product(C,product(product(product(A,D),A),A))) <->
% product(product(product(A,B),C),product(A,product(B,product(product(D,A),A))))
% Current number of equations to process: 2733
% Current number of ordered equations: 3
% Current number of rules: 1766
% New rule produced :
% [1804]
% product(product(product(A,B),C),product(product(product(B,A),B),B)) <->
% product(product(product(product(A,B),C),B),product(product(A,B),product(C,B)))
% Current number of equations to process: 2733
% Current number of ordered equations: 2
% Current number of rules: 1767
% New rule produced :
% [1805]
% product(product(product(A,B),C),product(A,product(B,product(product(D,A),A))))
% <-> product(product(A,B),product(C,product(product(product(A,D),A),A)))
% Current number of equations to process: 2733
% Current number of ordered equations: 1
% Current number of rules: 1768
% New rule produced :
% [1806]
% product(product(product(product(A,B),C),B),product(product(A,B),product(C,B)))
% <-> product(product(product(A,B),C),product(product(product(B,A),B),B))
% Current number of equations to process: 2733
% Current number of ordered equations: 0
% Current number of rules: 1769
% New rule produced :
% [1807]
% product(product(A,B),product(product(A,product(product(C,B),B)),D)) <->
% product(product(A,product(product(product(B,C),B),B)),product(product(A,B),D))
% Current number of equations to process: 2732
% Current number of ordered equations: 1
% Current number of rules: 1770
% New rule produced :
% [1808]
% product(product(A,product(product(product(B,C),B),B)),product(product(A,B),D))
% <-> product(product(A,B),product(product(A,product(product(C,B),B)),D))
% Current number of equations to process: 2732
% Current number of ordered equations: 0
% Current number of rules: 1771
% New rule produced :
% [1809]
% product(product(A,B),product(C,product(A,product(product(D,B),B)))) <->
% product(product(product(A,B),C),product(A,product(product(product(B,D),B),B)))
% Current number of equations to process: 2731
% Current number of ordered equations: 1
% Current number of rules: 1772
% New rule produced :
% [1810]
% product(product(product(A,B),C),product(A,product(product(product(B,D),B),B)))
% <-> product(product(A,B),product(C,product(A,product(product(D,B),B))))
% Current number of equations to process: 2731
% Current number of ordered equations: 0
% Current number of rules: 1773
% New rule produced :
% [1811]
% product(product(A,B),product(A,product(product(product(C,A),A),B))) <->
% product(product(product(A,B),product(product(product(A,C),A),A)),product(A,B))
% Current number of equations to process: 2730
% Current number of ordered equations: 1
% Current number of rules: 1774
% New rule produced :
% [1812]
% product(product(product(A,B),product(product(product(A,C),A),A)),product(A,B))
% <-> product(product(A,B),product(A,product(product(product(C,A),A),B)))
% Current number of equations to process: 2730
% Current number of ordered equations: 0
% Current number of rules: 1775
% New rule produced :
% [1813]
% product(product(A,B),product(A,product(product(A,product(B,A)),A))) <->
% product(product(A,product(B,product(product(A,B),A))),product(A,product(B,A)))
% Current number of equations to process: 2729
% Current number of ordered equations: 1
% Current number of rules: 1776
% New rule produced :
% [1814]
% product(product(A,product(B,product(product(A,B),A))),product(A,product(B,A)))
% <-> product(product(A,B),product(A,product(product(A,product(B,A)),A)))
% Current number of equations to process: 2729
% Current number of ordered equations: 0
% Current number of rules: 1777
% New rule produced :
% [1815]
% product(product(A,B),product(product(product(product(A,C),A),A),product(A,B)))
% <-> product(product(A,product(B,product(product(C,A),A))),product(A,B))
% Current number of equations to process: 2728
% Current number of ordered equations: 1
% Current number of rules: 1778
% New rule produced :
% [1816]
% product(product(A,product(B,product(product(C,A),A))),product(A,B)) <->
% product(product(A,B),product(product(product(product(A,C),A),A),product(A,B)))
% Current number of equations to process: 2728
% Current number of ordered equations: 0
% Current number of rules: 1779
% New rule produced :
% [1817]
% product(product(A,B),product(product(A,product(product(C,B),B)),product(A,B)))
% <-> product(product(A,product(product(product(B,C),B),B)),product(A,B))
% Current number of equations to process: 2727
% Current number of ordered equations: 1
% Current number of rules: 1780
% New rule produced :
% [1818]
% product(product(A,product(product(product(B,C),B),B)),product(A,B)) <->
% product(product(A,B),product(product(A,product(product(C,B),B)),product(A,B)))
% Current number of equations to process: 2727
% Current number of ordered equations: 0
% Current number of rules: 1781
% New rule produced :
% [1819]
% product(product(product(A,B),product(A,C)),product(A,product(product(B,A),A)))
% <-> product(product(product(A,B),A),product(product(product(A,B),C),A))
% Current number of equations to process: 2726
% Current number of ordered equations: 1
% Current number of rules: 1782
% New rule produced :
% [1820]
% product(product(product(A,B),A),product(product(product(A,B),C),A)) <->
% product(product(product(A,B),product(A,C)),product(A,product(product(B,A),A)))
% Current number of equations to process: 2726
% Current number of ordered equations: 0
% Current number of rules: 1783
% New rule produced :
% [1821]
% product(product(product(A,B),A),product(A,product(product(A,B),C))) <->
% product(product(A,product(product(B,A),A)),product(product(A,B),product(A,C)))
% Current number of equations to process: 2725
% Current number of ordered equations: 1
% Current number of rules: 1784
% New rule produced :
% [1822]
% product(product(A,product(product(B,A),A)),product(product(A,B),product(A,C)))
% <-> product(product(product(A,B),A),product(A,product(product(A,B),C)))
% Current number of equations to process: 2725
% Current number of ordered equations: 0
% Current number of rules: 1785
% New rule produced :
% [1823]
% product(product(A,B),product(A,product(B,product(product(C,B),B)))) <->
% product(product(product(A,B),product(A,product(product(B,C),B))),product(A,B))
% Current number of equations to process: 2724
% Current number of ordered equations: 1
% Current number of rules: 1786
% New rule produced :
% [1824]
% product(product(product(A,B),product(A,product(product(B,C),B))),product(A,B))
% <-> product(product(A,B),product(A,product(B,product(product(C,B),B))))
% Current number of equations to process: 2724
% Current number of ordered equations: 0
% Current number of rules: 1787
% New rule produced :
% [1825]
% product(A,product(A,product(product(product(B,C),product(B,D)),A))) <->
% product(product(product(A,product(A,B)),product(A,product(A,product(C,D)))),A)
% Current number of equations to process: 2722
% Current number of ordered equations: 1
% Current number of rules: 1788
% New rule produced :
% [1826]
% product(product(product(A,product(A,B)),product(A,product(A,product(C,D)))),A)
% <-> product(A,product(A,product(product(product(B,C),product(B,D)),A)))
% Current number of equations to process: 2722
% Current number of ordered equations: 0
% Current number of rules: 1789
% New rule produced :
% [1827]
% product(product(A,B),product(A,product(B,product(B,product(C,B))))) <->
% product(product(product(A,B),product(A,product(B,product(B,C)))),product(A,B))
% Current number of equations to process: 2721
% Current number of ordered equations: 1
% Current number of rules: 1790
% New rule produced :
% [1828]
% product(product(product(A,B),product(A,product(B,product(B,C)))),product(A,B))
% <-> product(product(A,B),product(A,product(B,product(B,product(C,B)))))
% Current number of equations to process: 2721
% Current number of ordered equations: 0
% Current number of rules: 1791
% New rule produced :
% [1829]
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,C))))
% <->
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,C)))
% Current number of equations to process: 2720
% Current number of ordered equations: 1
% Current number of rules: 1792
% New rule produced :
% [1830]
% product(product(product(A,B),product(A,product(C,D))),product(A,product(B,C)))
% <->
% product(product(A,B),product(product(A,C),product(product(A,D),product(A,C))))
% Current number of equations to process: 2720
% Current number of ordered equations: 0
% Current number of rules: 1793
% New rule produced :
% [1831]
% product(product(A,B),product(product(A,product(product(C,D),C)),product(A,B)))
% <->
% product(product(A,product(product(B,C),product(B,product(D,C)))),product(A,B))
% Current number of equations to process: 2718
% Current number of ordered equations: 3
% Current number of rules: 1794
% New rule produced :
% [1832]
% product(product(A,product(B,C)),product(product(A,B),product(A,product(B,C))))
% <->
% product(product(product(A,B),product(A,product(C,B))),product(A,product(B,C)))
% Current number of equations to process: 2718
% Current number of ordered equations: 2
% Current number of rules: 1795
% New rule produced :
% [1833]
% product(product(product(A,B),product(A,product(C,B))),product(A,product(B,C)))
% <->
% product(product(A,product(B,C)),product(product(A,B),product(A,product(B,C))))
% Current number of equations to process: 2718
% Current number of ordered equations: 1
% Current number of rules: 1796
% New rule produced :
% [1834]
% product(product(A,product(product(B,C),product(B,product(D,C)))),product(A,B))
% <->
% product(product(A,B),product(product(A,product(product(C,D),C)),product(A,B)))
% Current number of equations to process: 2718
% Current number of ordered equations: 0
% Current number of rules: 1797
% New rule produced :
% [1835]
% product(product(A,B),product(product(A,product(product(C,B),D)),product(A,B)))
% <->
% product(product(A,product(product(product(B,C),B),product(B,D))),product(A,B))
% Current number of equations to process: 2716
% Current number of ordered equations: 3
% Current number of rules: 1798
% New rule produced :
% [1836]
% product(product(A,product(B,A)),product(product(A,C),product(A,product(B,A))))
% <->
% product(product(product(product(A,B),A),product(A,C)),product(A,product(B,A)))
% Current number of equations to process: 2716
% Current number of ordered equations: 2
% Current number of rules: 1799
% New rule produced :
% [1837]
% product(product(product(product(A,B),A),product(A,C)),product(A,product(B,A)))
% <->
% product(product(A,product(B,A)),product(product(A,C),product(A,product(B,A))))
% Current number of equations to process: 2716
% Current number of ordered equations: 1
% Current number of rules: 1800
% New rule produced :
% [1838]
% product(product(A,product(product(product(B,C),B),product(B,D))),product(A,B))
% <->
% product(product(A,B),product(product(A,product(product(C,B),D)),product(A,B)))
% Current number of equations to process: 2716
% Current number of ordered equations: 0
% Current number of rules: 1801
% New rule produced :
% [1839]
% product(product(A,B),product(product(A,product(C,product(B,C))),product(A,B)))
% <->
% product(product(A,product(product(product(B,C),B),product(B,C))),product(A,B))
% Current number of equations to process: 2715
% Current number of ordered equations: 1
% Current number of rules: 1802
% New rule produced :
% [1840]
% product(product(A,product(product(product(B,C),B),product(B,C))),product(A,B))
% <->
% product(product(A,B),product(product(A,product(C,product(B,C))),product(A,B)))
% CCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------