TSTP Solution File: RNG009-7 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : RNG009-7 : TPTP v6.0.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n126.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 00:31:40 EDT 2014

% Result   : Timeout 300.04s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : RNG009-7 : TPTP v6.0.0. Released v1.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n126.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 16:31:58 CDT 2014
% % CPUTime  : 300.04 
% Processing problem /tmp/CiME_5586_n126.star.cs.uiowa.edu
% #verbose 1;
% let F = signature "  add : AC; c,b,a,additive_identity : constant;  multiply : 2;  additive_inverse : 1;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z));
% additive_identity add X = X;
% X add additive_identity = X;
% additive_inverse(X) add X = additive_identity;
% X add additive_inverse(X) = additive_identity;
% multiply(X,Y add Z) = multiply(X,Y) add multiply(X,Z);
% multiply(X add Y,Z) = multiply(X,Z) add multiply(Y,Z);
% multiply(X,multiply(X,X)) = X;
% multiply(a,b) = c;
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% additive_inverse lr_lex;
% additive_identity lr_lex;
% multiply mul;
% add mul;
% ";
% 
% let p1 = precedence F "
% multiply > additive_inverse > add > additive_identity > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% multiply mul;
% additive_inverse mul;
% add mul;
% additive_identity mul;
% ";
% 
% let p2 = precedence F "
% multiply > additive_inverse > add > additive_identity = a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(b,a) = c;"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { multiply(multiply(X,Y),Z) =
% multiply(X,multiply(Y,Z)),
% additive_identity add X = X,
% additive_identity add X = X,
% additive_inverse(X) add X = additive_identity,
% additive_inverse(X) add X = additive_identity,
% multiply(X,Y add Z) =
% multiply(X,Y) add multiply(X,Z),
% multiply(X add Y,Z) =
% multiply(X,Z) add multiply(Y,Z),
% multiply(X,multiply(X,X)) = X,
% multiply(a,b) = c } (9 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 = { multiply(b,a) = c } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] additive_identity add X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 1
% New rule produced : [2] multiply(a,b) -> c
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 2
% New rule produced : [3] additive_inverse(X) add X -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 3
% New rule produced : [4] multiply(X,multiply(X,X)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 4
% New rule produced :
% [5] multiply(multiply(X,Y),Z) -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 5
% New rule produced :
% [6] multiply(X,Y add Z) -> multiply(X,Y) add multiply(X,Z)
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [7] multiply(X add Y,Z) -> multiply(X,Z) add multiply(Y,Z)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] additive_inverse(additive_inverse(X)) -> X
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9] additive_inverse(additive_identity) -> additive_identity
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10] additive_inverse(X add Y) add Y -> additive_inverse(X)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] multiply(a,multiply(b,X)) -> multiply(c,X)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12] multiply(X,multiply(X,multiply(X,Y))) -> multiply(X,Y)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13] multiply(X,additive_identity) add multiply(X,Y) -> multiply(X,Y)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14] multiply(additive_identity,Y) add multiply(X,Y) -> multiply(X,Y)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% Rule [10] additive_inverse(X add Y) add Y -> additive_inverse(X) collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [16] multiply(c,multiply(b,b)) -> c
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [17] multiply(a,multiply(a,c)) -> c
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [18] c add multiply(a,additive_identity) -> c
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [19] multiply(X,additive_identity) -> additive_identity
% Rule [13] multiply(X,additive_identity) add multiply(X,Y) -> multiply(X,Y)
% collapsed.
% Rule [18] c add multiply(a,additive_identity) -> c collapsed.
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [20] c add multiply(additive_identity,b) -> c
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [21] multiply(additive_identity,X) -> additive_identity
% Rule [14] multiply(additive_identity,Y) add multiply(X,Y) -> multiply(X,Y)
% collapsed.
% Rule [20] c add multiply(additive_identity,b) -> c collapsed.
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [22] multiply(c,multiply(b,multiply(b,X))) -> multiply(c,X)
% Current number of equations to process: 42
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [23] multiply(a,multiply(a,multiply(c,X))) -> multiply(c,X)
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [24] multiply(X,additive_inverse(Y)) add multiply(X,Y) -> additive_identity
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [25] c add multiply(a,additive_inverse(b)) -> additive_identity
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [26] multiply(X,additive_inverse(Y)) -> additive_inverse(multiply(X,Y))
% Rule
% [24] multiply(X,additive_inverse(Y)) add multiply(X,Y) -> additive_identity
% collapsed.
% Rule [25] c add multiply(a,additive_inverse(b)) -> additive_identity
% collapsed.
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [27]
% additive_inverse(multiply(additive_inverse(X),multiply(additive_inverse(X),X)))
% -> additive_inverse(X)
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [28]
% multiply(additive_inverse(multiply(X,Y)),Z) ->
% multiply(X,multiply(additive_inverse(Y),Z))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [29] multiply(additive_inverse(X),multiply(additive_inverse(X),X)) -> X
% Rule
% [27]
% additive_inverse(multiply(additive_inverse(X),multiply(additive_inverse(X),X)))
% -> additive_inverse(X) collapsed.
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [30]
% multiply(a,multiply(additive_inverse(b),X)) ->
% multiply(additive_inverse(c),X)
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [31] multiply(additive_inverse(c),multiply(additive_inverse(b),b)) -> c
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [32] multiply(additive_inverse(Y),X) add multiply(Y,X) -> additive_identity
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [33] c add multiply(additive_inverse(a),b) -> additive_identity
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [34] multiply(additive_inverse(X),Y) -> additive_inverse(multiply(X,Y))
% Rule
% [28]
% multiply(additive_inverse(multiply(X,Y)),Z) ->
% multiply(X,multiply(additive_inverse(Y),Z)) collapsed.
% Rule [29] multiply(additive_inverse(X),multiply(additive_inverse(X),X)) -> X
% collapsed.
% Rule
% [30]
% multiply(a,multiply(additive_inverse(b),X)) ->
% multiply(additive_inverse(c),X) collapsed.
% Rule [31] multiply(additive_inverse(c),multiply(additive_inverse(b),b)) -> c
% collapsed.
% Rule
% [32] multiply(additive_inverse(Y),X) add multiply(Y,X) -> additive_identity
% collapsed.
% Rule [33] c add multiply(additive_inverse(a),b) -> additive_identity
% collapsed.
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [35]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,Y))))) ->
% multiply(X,Y)
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [36] multiply(c,multiply(a,multiply(c,multiply(a,c)))) -> c
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [37] multiply(b,multiply(c,multiply(c,a))) -> multiply(b,a)
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [38]
% multiply(b,multiply(c,multiply(c,multiply(a,X)))) ->
% multiply(b,multiply(a,X))
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [39]
% multiply(b,multiply(a,multiply(c,multiply(a,c)))) ->
% multiply(b,multiply(c,c))
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [40]
% multiply(c,multiply(X,multiply(b,multiply(X,multiply(b,X))))) ->
% multiply(c,X)
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [41] multiply(c,multiply(b,multiply(c,multiply(b,c)))) -> c
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [42]
% multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,X))))) ->
% multiply(c,X)
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [43]
% multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,a))))) ->
% multiply(b,a)
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [44]
% multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,X))))) ->
% multiply(c,X)
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [45]
% multiply(c,multiply(b,multiply(c,multiply(b,a)))) ->
% multiply(c,multiply(c,a))
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [46]
% multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,X))))) ->
% multiply(b,multiply(c,multiply(c,X)))
% Rule
% [43]
% multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,a))))) ->
% multiply(b,a) collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [47]
% multiply(c,multiply(b,multiply(c,multiply(b,multiply(a,X))))) ->
% multiply(c,multiply(c,multiply(a,X)))
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [48]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,Z)))))) ->
% multiply(X,multiply(Y,Z))
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [49]
% multiply(X,multiply(a,multiply(X,multiply(a,multiply(X,c))))) ->
% multiply(X,c)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [50]
% multiply(c,multiply(X,multiply(b,multiply(X,multiply(b,multiply(X,Y)))))) ->
% multiply(c,multiply(X,Y))
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [51]
% multiply(X,multiply(a,multiply(X,multiply(a,multiply(X,multiply(c,Y)))))) ->
% multiply(X,multiply(c,Y))
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [52]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(X,
% multiply(Y,Z))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [53]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,c)))))) ->
% c
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [54]
% multiply(b,multiply(X,multiply(c,multiply(X,multiply(c,multiply(X,a)))))) ->
% multiply(b,multiply(X,a))
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [55]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,c)))))) ->
% c
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [56]
% multiply(c,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,X)))))))
% -> multiply(c,X)
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [57]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,Y)))))))
% -> multiply(X,Y)
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [58]
% multiply(c,multiply(X,multiply(b,multiply(b,multiply(X,multiply(b,multiply(b,X)))))))
% -> multiply(c,X)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [59]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,a)))))))
% -> multiply(b,a)
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [60]
% multiply(c,multiply(X,multiply(b,multiply(c,multiply(X,multiply(b,multiply(c,X)))))))
% -> multiply(c,X)
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [61]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))))))
% -> multiply(X,Y)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [62]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,c))))) ->
% multiply(c,c)
% Rule
% [53]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,c)))))) ->
% c collapsed.
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [63]
% multiply(X,multiply(c,multiply(a,multiply(X,multiply(c,multiply(a,multiply(X,c)))))))
% -> multiply(X,c)
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [64]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,X)))))))
% -> multiply(c,X)
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [65]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,c))))) ->
% multiply(c,c)
% Rule
% [55]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,c)))))) ->
% c collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [66]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,c)))))) ->
% c
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [67]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,X)))))))
% -> multiply(c,X)
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [68]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,a))))) ->
% multiply(c,multiply(a,multiply(c,a)))
% Rule
% [59]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,a)))))))
% -> multiply(b,a) collapsed.
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [69]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,b))))) ->
% multiply(c,multiply(b,multiply(c,b)))
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [70]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,X)))))) ->
% multiply(X,multiply(Y,multiply(X,multiply(Y,X))))
% Rule
% [57]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,Y)))))))
% -> multiply(X,Y) collapsed.
% Rule
% [58]
% multiply(c,multiply(X,multiply(b,multiply(b,multiply(X,multiply(b,multiply(b,X)))))))
% -> multiply(c,X) collapsed.
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [71]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,c)))))) ->
% c
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [72]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(X,multiply(X,b)))))) ->
% multiply(c,multiply(X,multiply(b,multiply(X,b))))
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [73]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(X,multiply(X,multiply(b,X)))))))
% -> multiply(c,X)
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [74]
% multiply(c,multiply(a,multiply(c,c))) ->
% multiply(c,multiply(c,multiply(a,c)))
% Rule
% [66]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,c)))))) ->
% c collapsed.
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [75]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,c))))) ->
% multiply(b,c)
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [76]
% multiply(b,multiply(a,multiply(c,c))) ->
% multiply(b,multiply(c,multiply(a,c)))
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [77]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,X)))))) ->
% multiply(c,multiply(c,X))
% Rule
% [64]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,X)))))))
% -> multiply(c,X) collapsed.
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [78]
% multiply(c,multiply(b,multiply(c,c))) ->
% multiply(c,multiply(c,multiply(b,c)))
% Rule
% [71]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,c)))))) ->
% c collapsed.
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [79]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,X)))))) ->
% multiply(c,multiply(c,X))
% Rule
% [67]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,X)))))))
% -> multiply(c,X) collapsed.
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [80]
% multiply(c,multiply(a,multiply(c,multiply(c,a)))) ->
% multiply(c,multiply(c,multiply(a,multiply(c,a))))
% Rule
% [68]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,a))))) ->
% multiply(c,multiply(a,multiply(c,a))) collapsed.
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [81]
% multiply(c,multiply(b,multiply(c,multiply(c,b)))) ->
% multiply(c,multiply(c,multiply(b,multiply(c,b))))
% Rule
% [69]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,b))))) ->
% multiply(c,multiply(b,multiply(c,b))) collapsed.
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [82]
% multiply(c,multiply(a,multiply(c,multiply(c,X)))) ->
% multiply(c,multiply(c,multiply(a,multiply(c,X))))
% Rule
% [62]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,c))))) ->
% multiply(c,c) collapsed.
% Rule
% [77]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,X)))))) ->
% multiply(c,multiply(c,X)) collapsed.
% Rule
% [80]
% multiply(c,multiply(a,multiply(c,multiply(c,a)))) ->
% multiply(c,multiply(c,multiply(a,multiply(c,a)))) collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [83]
% multiply(b,multiply(a,multiply(c,multiply(c,X)))) ->
% multiply(b,multiply(c,multiply(a,multiply(c,X))))
% Rule
% [75]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,c))))) ->
% multiply(b,c) collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [84]
% multiply(c,multiply(b,multiply(c,multiply(c,X)))) ->
% multiply(c,multiply(c,multiply(b,multiply(c,X))))
% Rule
% [65]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,c))))) ->
% multiply(c,c) collapsed.
% Rule
% [79]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,X)))))) ->
% multiply(c,multiply(c,X)) collapsed.
% Rule
% [81]
% multiply(c,multiply(b,multiply(c,multiply(c,b)))) ->
% multiply(c,multiply(c,multiply(b,multiply(c,b)))) collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [85]
% multiply(c,multiply(b,multiply(c,multiply(a,c)))) ->
% multiply(c,multiply(c,multiply(b,multiply(a,c))))
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [86]
% multiply(c,multiply(c,multiply(b,multiply(c,a)))) ->
% multiply(c,multiply(b,a))
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [87]
% multiply(c,multiply(b,multiply(c,a))) ->
% multiply(c,multiply(c,multiply(b,a)))
% Rule
% [86]
% multiply(c,multiply(c,multiply(b,multiply(c,a)))) ->
% multiply(c,multiply(b,a)) collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [88]
% multiply(c,multiply(b,multiply(c,multiply(a,X)))) ->
% multiply(c,multiply(c,multiply(b,multiply(a,X))))
% Rule
% [85]
% multiply(c,multiply(b,multiply(c,multiply(a,c)))) ->
% multiply(c,multiply(c,multiply(b,multiply(a,c)))) collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [89]
% multiply(b,multiply(X,multiply(c,multiply(X,multiply(c,multiply(X,multiply(a,Y)))))))
% -> multiply(b,multiply(X,multiply(a,Y)))
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [90]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,b)))))))
% -> multiply(c,multiply(b,multiply(c,b)))
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [91]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,b)))))) ->
% multiply(c,multiply(c,multiply(b,multiply(c,b))))
% Rule
% [90]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,b)))))))
% -> multiply(c,multiply(b,multiply(c,b))) collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [92]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,b)))))) ->
% multiply(b,multiply(c,multiply(b,multiply(c,b))))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [93]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(b,multiply(c,b)))))) ->
% multiply(c,multiply(b,multiply(a,multiply(c,b))))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [94]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(c,b))))) ->
% multiply(c,multiply(c,multiply(b,multiply(a,multiply(c,b)))))
% Rule
% [93]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(b,multiply(c,b)))))) ->
% multiply(c,multiply(b,multiply(a,multiply(c,b)))) collapsed.
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [95]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(c,b))))) ->
% multiply(b,multiply(c,multiply(b,multiply(a,multiply(c,b)))))
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [96]
% multiply(c,multiply(X,multiply(Y,multiply(b,multiply(X,multiply(Y,multiply(b,
% multiply(X,Y))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [97]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,c)))))) ->
% c
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [98]
% multiply(X,multiply(c,multiply(b,multiply(X,multiply(c,multiply(b,multiply(X,c)))))))
% -> multiply(X,c)
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [99]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,c)))))) ->
% multiply(c,multiply(b,c))
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [100]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,X)))))))
% -> multiply(c,X)
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [101]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,c))))) ->
% multiply(c,multiply(c,multiply(b,c)))
% Rule
% [99]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,c)))))) ->
% multiply(c,multiply(b,c)) collapsed.
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [102]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,c))))) ->
% multiply(c,multiply(c,multiply(a,c)))
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [103]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,a)))))) ->
% multiply(c,multiply(a,multiply(c,multiply(a,a))))
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [104]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(b,c))))) ->
% multiply(c,multiply(b,multiply(a,c)))
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [105]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,c))))) ->
% multiply(b,multiply(c,multiply(b,c)))
% Rule
% [97]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,c)))))) ->
% c collapsed.
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [106]
% multiply(c,multiply(a,multiply(c,multiply(b,c)))) ->
% multiply(c,multiply(c,multiply(b,multiply(a,c))))
% Rule
% [104]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(b,c))))) ->
% multiply(c,multiply(b,multiply(a,c))) collapsed.
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [107]
% multiply(b,multiply(a,multiply(c,multiply(b,c)))) ->
% multiply(b,multiply(c,multiply(b,multiply(a,c))))
% Rule
% [102]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,c))))) ->
% multiply(c,multiply(c,multiply(a,c))) collapsed.
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [108]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,X)))))) ->
% multiply(c,multiply(c,multiply(b,multiply(c,X))))
% Rule
% [91]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,b)))))) ->
% multiply(c,multiply(c,multiply(b,multiply(c,b)))) collapsed.
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [109]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(c,X))))) ->
% multiply(c,multiply(c,multiply(b,multiply(a,multiply(c,X)))))
% Rule
% [94]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(c,b))))) ->
% multiply(c,multiply(c,multiply(b,multiply(a,multiply(c,b))))) collapsed.
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [110]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(c,X))))) ->
% multiply(b,multiply(c,multiply(b,multiply(a,multiply(c,X)))))
% Rule
% [95]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(c,b))))) ->
% multiply(b,multiply(c,multiply(b,multiply(a,multiply(c,b))))) collapsed.
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [111]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,a))))) ->
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(a,a)))))
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [112]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,X)))))) ->
% multiply(b,multiply(c,multiply(b,multiply(c,X))))
% Rule
% [92]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,b)))))) ->
% multiply(b,multiply(c,multiply(b,multiply(c,b)))) collapsed.
% Rule
% [100]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,X)))))))
% -> multiply(c,X) collapsed.
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [113]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(b,a))))) ->
% multiply(c,multiply(c,multiply(b,multiply(a,multiply(c,a)))))
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [114]
% multiply(c,multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,a)))))) ->
% multiply(c,multiply(c,multiply(a,multiply(c,a))))
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [115]
% multiply(b,multiply(c,multiply(a,multiply(c,multiply(b,a))))) ->
% multiply(b,multiply(c,multiply(b,multiply(a,multiply(c,a)))))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [116]
% multiply(b,multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,a)))))) ->
% multiply(b,multiply(c,multiply(a,multiply(c,a))))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [117]
% multiply(c,multiply(a,multiply(c,multiply(b,a)))) ->
% multiply(c,multiply(b,multiply(a,multiply(c,a))))
% Rule
% [113]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(b,a))))) ->
% multiply(c,multiply(c,multiply(b,multiply(a,multiply(c,a))))) collapsed.
% Rule
% [115]
% multiply(b,multiply(c,multiply(a,multiply(c,multiply(b,a))))) ->
% multiply(b,multiply(c,multiply(b,multiply(a,multiply(c,a))))) collapsed.
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [118]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,a))))) ->
% multiply(c,multiply(a,multiply(c,a)))
% Rule
% [114]
% multiply(c,multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,a)))))) ->
% multiply(c,multiply(c,multiply(a,multiply(c,a)))) collapsed.
% Rule
% [116]
% multiply(b,multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,a)))))) ->
% multiply(b,multiply(c,multiply(a,multiply(c,a)))) collapsed.
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [119]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,X))))) ->
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(a,X)))))
% Rule
% [101]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,c))))) ->
% multiply(c,multiply(c,multiply(b,c))) collapsed.
% Rule
% [108]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,X)))))) ->
% multiply(c,multiply(c,multiply(b,multiply(c,X)))) collapsed.
% Rule
% [111]
% multiply(c,multiply(a,multiply(c,multiply(b,multiply(a,a))))) ->
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(a,a))))) collapsed.
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [120]
% multiply(b,multiply(a,multiply(c,multiply(b,a)))) ->
% multiply(b,multiply(c,multiply(c,multiply(b,multiply(a,multiply(c,a))))))
% Rule
% [118]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,a))))) ->
% multiply(c,multiply(a,multiply(c,a))) collapsed.
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [121]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,X)))))) ->
% multiply(c,multiply(a,multiply(c,multiply(a,X))))
% Rule
% [103]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,a)))))) ->
% multiply(c,multiply(a,multiply(c,multiply(a,a)))) collapsed.
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [122]
% multiply(X,multiply(Y,multiply(a,multiply(X,multiply(Y,multiply(a,multiply(X,
% multiply(Y,c))))))))
% -> multiply(X,multiply(Y,c))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [123]
% multiply(X,multiply(a,multiply(X,multiply(X,multiply(a,multiply(X,multiply(X,c)))))))
% -> multiply(X,c)
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [124]
% multiply(X,multiply(a,multiply(a,multiply(X,multiply(a,multiply(a,multiply(X,c)))))))
% -> multiply(X,c)
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [125]
% multiply(a,multiply(X,multiply(X,multiply(a,multiply(X,multiply(X,c)))))) ->
% multiply(a,multiply(X,multiply(a,multiply(X,c))))
% Rule
% [123]
% multiply(X,multiply(a,multiply(X,multiply(X,multiply(a,multiply(X,multiply(X,c)))))))
% -> multiply(X,c) collapsed.
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [126]
% multiply(b,multiply(a,multiply(X,multiply(c,multiply(a,multiply(X,multiply(c,
% multiply(a,X))))))))
% -> multiply(b,multiply(a,X))
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [127]
% multiply(c,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(X,Y))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [128]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Z))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [129]
% multiply(c,multiply(X,multiply(b,multiply(c,multiply(X,multiply(b,multiply(c,
% multiply(X,Y))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [130]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,Z))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [131]
% multiply(X,multiply(c,multiply(a,multiply(X,multiply(c,multiply(a,multiply(X,
% multiply(c,Y))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [132]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(X,multiply(X,multiply(b,
% multiply(X,Y))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [133]
% multiply(b,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(X,a))))))))
% -> multiply(b,multiply(X,a))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [134]
% multiply(X,multiply(c,multiply(b,multiply(X,multiply(c,multiply(b,multiply(X,
% multiply(c,Y))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [135]
% multiply(b,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(X,c))))))))
% -> multiply(b,multiply(X,c))
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [136]
% multiply(X,multiply(a,multiply(X,multiply(X,multiply(a,multiply(X,multiply(X,
% multiply(c,Y))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [137]
% multiply(X,multiply(a,multiply(a,multiply(X,multiply(a,multiply(a,multiply(X,
% multiply(c,Y))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [138]
% multiply(c,multiply(X,multiply(b,multiply(b,multiply(X,multiply(b,multiply(b,
% multiply(X,Y))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [139]
% multiply(X,multiply(c,multiply(b,multiply(X,multiply(c,multiply(b,multiply(X,a)))))))
% -> multiply(X,multiply(c,multiply(X,multiply(c,multiply(X,a)))))
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [140]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,Z)))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,Z)))))
% Rule
% [61]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))))))
% -> multiply(X,Y) collapsed.
% Rule
% [124]
% multiply(X,multiply(a,multiply(a,multiply(X,multiply(a,multiply(a,multiply(X,c)))))))
% -> multiply(X,c) collapsed.
% Rule
% [128]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Z))))))))
% -> multiply(X,multiply(Y,Z)) collapsed.
% Rule
% [130]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,Z))))))))
% -> multiply(X,multiply(Y,Z)) collapsed.
% Rule
% [137]
% multiply(X,multiply(a,multiply(a,multiply(X,multiply(a,multiply(a,multiply(X,
% multiply(c,Y))))))))
% -> multiply(X,multiply(c,Y)) collapsed.
% Rule
% [138]
% multiply(c,multiply(X,multiply(b,multiply(b,multiply(X,multiply(b,multiply(b,
% multiply(X,Y))))))))
% -> multiply(c,multiply(X,Y)) collapsed.
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [141]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(X,multiply(X,multiply(b,Y)))))))
% -> multiply(c,multiply(X,multiply(b,multiply(X,multiply(b,Y)))))
% Rule
% [73]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(X,multiply(X,multiply(b,X)))))))
% -> multiply(c,X) collapsed.
% Rule
% [132]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(X,multiply(X,multiply(b,
% multiply(X,Y))))))))
% -> multiply(c,multiply(X,Y)) collapsed.
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [142]
% multiply(b,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,X)))))))
% -> multiply(b,multiply(X,multiply(c,multiply(X,multiply(c,X)))))
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [143]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,a))))) ->
% multiply(b,multiply(c,multiply(c,multiply(b,multiply(a,multiply(c,multiply(a,a)))))))
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [144]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,X))))) ->
% multiply(b,multiply(c,multiply(c,multiply(b,multiply(a,multiply(c,multiply(a,X)))))))
% Rule
% [105]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,c))))) ->
% multiply(b,multiply(c,multiply(b,c))) collapsed.
% Rule
% [112]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,multiply(c,X)))))) ->
% multiply(b,multiply(c,multiply(b,multiply(c,X)))) collapsed.
% Rule
% [121]
% multiply(c,multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,X)))))) ->
% multiply(c,multiply(a,multiply(c,multiply(a,X)))) collapsed.
% Rule
% [143]
% multiply(b,multiply(a,multiply(c,multiply(b,multiply(a,a))))) ->
% multiply(b,multiply(c,multiply(c,multiply(b,multiply(a,multiply(c,multiply(a,a)))))))
% collapsed.
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [145]
% multiply(a,multiply(X,multiply(X,multiply(a,multiply(X,multiply(X,multiply(c,Y)))))))
% -> multiply(a,multiply(X,multiply(a,multiply(X,multiply(c,Y)))))
% Rule
% [136]
% multiply(X,multiply(a,multiply(X,multiply(X,multiply(a,multiply(X,multiply(X,
% multiply(c,Y))))))))
% -> multiply(X,multiply(c,Y)) collapsed.
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [146]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [147]
% multiply(X,multiply(b,multiply(c,multiply(X,multiply(b,multiply(c,multiply(X,
% multiply(b,a))))))))
% -> multiply(X,multiply(b,a))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [148]
% multiply(c,multiply(X,multiply(Y,multiply(b,multiply(X,multiply(Y,multiply(b,
% multiply(X,
% multiply(Y,Z)))))))))
% -> multiply(c,multiply(X,multiply(Y,Z)))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [149]
% multiply(X,multiply(Y,multiply(a,multiply(X,multiply(Y,multiply(a,multiply(X,
% multiply(Y,
% multiply(c,Z)))))))))
% -> multiply(X,multiply(Y,multiply(c,Z)))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [150]
% multiply(b,multiply(X,multiply(Y,multiply(c,multiply(X,multiply(Y,multiply(c,
% multiply(X,
% multiply(Y,a)))))))))
% -> multiply(b,multiply(X,multiply(Y,a)))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [151]
% multiply(b,multiply(a,multiply(X,multiply(c,multiply(a,multiply(X,multiply(c,
% multiply(a,
% multiply(X,Y)))))))))
% -> multiply(b,multiply(a,multiply(X,Y)))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [152]
% multiply(b,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(X,
% multiply(a,Y)))))))))
% -> multiply(b,multiply(X,multiply(a,Y)))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [153]
% multiply(b,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(X,
% multiply(c,Y)))))))))
% -> multiply(b,multiply(X,multiply(c,Y)))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [154]
% multiply(b,multiply(X,multiply(c,multiply(b,multiply(X,multiply(c,multiply(b,
% multiply(X,
% multiply(a,Y)))))))))
% -> multiply(b,multiply(X,multiply(a,Y)))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [155]
% multiply(X,multiply(b,multiply(c,multiply(X,multiply(b,multiply(c,multiply(X,
% multiply(b,
% multiply(a,Y)))))))))
% -> multiply(X,multiply(b,multiply(a,Y)))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [156]
% multiply(c,multiply(X,multiply(c,multiply(b,multiply(X,multiply(c,multiply(b,
% multiply(X,
% multiply(a,Y)))))))))
% -> multiply(c,multiply(X,multiply(a,Y)))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [157]
% multiply(c,multiply(X,multiply(Y,multiply(a,multiply(c,multiply(X,multiply(Y,
% multiply(a,
% multiply(c,
% multiply(X,Y))))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [158]
% multiply(c,multiply(X,multiply(a,multiply(c,multiply(c,multiply(X,multiply(a,
% multiply(c,
% multiply(c,X)))))))))
% -> multiply(c,X)
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [159]
% multiply(X,multiply(c,multiply(a,multiply(c,multiply(X,multiply(c,multiply(a,
% multiply(c,
% multiply(X,c)))))))))
% -> multiply(X,c)
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [160]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(X,multiply(Y,multiply(Z,
% multiply(X,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [161]
% multiply(c,multiply(X,multiply(b,multiply(b,multiply(c,multiply(X,multiply(b,
% multiply(b,
% multiply(c,X)))))))))
% -> multiply(c,X)
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [162]
% multiply(X,multiply(c,multiply(a,multiply(a,multiply(X,multiply(c,multiply(a,
% multiply(a,
% multiply(X,c)))))))))
% -> multiply(X,c)
% Current number of equations to process: 228
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [163]
% multiply(c,multiply(X,multiply(Y,multiply(b,multiply(c,multiply(X,multiply(Y,
% multiply(b,
% multiply(c,
% multiply(X,Y))))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [164]
% multiply(c,multiply(X,multiply(b,multiply(c,multiply(c,multiply(X,multiply(b,
% multiply(c,
% multiply(c,X)))))))))
% -> multiply(c,X)
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [165]
% multiply(X,multiply(c,multiply(b,multiply(c,multiply(X,multiply(c,multiply(b,
% multiply(c,
% multiply(X,c)))))))))
% -> multiply(X,c)
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [166]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(Z,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [167]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(c,multiply(X,multiply(X,
% multiply(b,
% multiply(c,X)))))))))
% -> multiply(c,X)
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [168]
% multiply(c,multiply(X,multiply(X,multiply(a,multiply(c,multiply(X,multiply(X,
% multiply(a,
% multiply(c,X)))))))))
% -> multiply(c,X)
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [169]
% multiply(X,multiply(c,multiply(c,multiply(a,multiply(X,multiply(c,multiply(c,
% multiply(a,
% multiply(X,c)))))))))
% -> multiply(X,c)
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [170]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,
% multiply(X,Y)))))))))
% -> multiply(X,Y)
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [171]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(b,multiply(X,multiply(X,
% multiply(b,
% multiply(b,X)))))))))
% -> multiply(c,X)
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [172]
% multiply(X,multiply(c,multiply(c,multiply(b,multiply(X,multiply(c,multiply(c,
% multiply(b,
% multiply(X,c)))))))))
% -> multiply(X,c)
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [173]
% multiply(X,multiply(Y,multiply(c,multiply(a,multiply(X,multiply(Y,multiply(c,
% multiply(a,
% multiply(X,
% multiply(Y,c))))))))))
% -> multiply(X,multiply(Y,c))
% Current number of equations to process: 428
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [174]
% multiply(X,multiply(c,multiply(a,multiply(X,multiply(X,multiply(c,multiply(a,
% multiply(X,
% multiply(X,c)))))))))
% -> multiply(X,c)
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [175]
% multiply(c,multiply(X,multiply(a,multiply(X,multiply(c,multiply(X,multiply(a,
% multiply(X,
% multiply(c,
% multiply(X,a))))))))))
% -> multiply(c,multiply(X,a))
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [176]
% multiply(X,multiply(Y,multiply(c,multiply(b,multiply(X,multiply(Y,multiply(c,
% multiply(b,
% multiply(X,
% multiply(Y,c))))))))))
% -> multiply(X,multiply(Y,c))
% Current number of equations to process: 439
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [177]
% multiply(X,multiply(c,multiply(b,multiply(a,multiply(X,multiply(c,multiply(b,
% multiply(a,
% multiply(X,c)))))))))
% -> multiply(X,c)
% Current number of equations to process: 439
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [178]
% multiply(X,multiply(c,multiply(b,multiply(X,multiply(X,multiply(c,multiply(b,
% multiply(X,
% multiply(X,c)))))))))
% -> multiply(X,c)
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [179]
% multiply(X,multiply(Y,multiply(a,multiply(a,multiply(X,multiply(Y,multiply(a,
% multiply(a,
% multiply(X,
% multiply(Y,c))))))))))
% -> multiply(X,multiply(Y,c))
% Current number of equations to process: 448
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [180]
% multiply(X,multiply(a,multiply(a,multiply(X,multiply(X,multiply(a,multiply(a,
% multiply(X,
% multiply(X,c)))))))))
% -> multiply(X,c)
% Current number of equations to process: 452
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [181]
% multiply(b,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(X,Y))))))))
% -> multiply(b,multiply(X,multiply(c,multiply(X,multiply(c,multiply(X,Y))))))
% Rule
% [133]
% multiply(b,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(X,a))))))))
% -> multiply(b,multiply(X,a)) collapsed.
% Rule
% [135]
% multiply(b,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(X,c))))))))
% -> multiply(b,multiply(X,c)) collapsed.
% Rule
% [152]
% multiply(b,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(X,
% multiply(a,Y)))))))))
% -> multiply(b,multiply(X,multiply(a,Y))) collapsed.
% Rule
% [153]
% multiply(b,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(X,
% multiply(c,Y)))))))))
% -> multiply(b,multiply(X,multiply(c,Y))) collapsed.
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [182]
% multiply(X,multiply(c,multiply(b,multiply(X,multiply(c,multiply(b,multiply(X,
% multiply(a,Y))))))))
% -> multiply(X,multiply(c,multiply(X,multiply(c,multiply(X,multiply(a,Y))))))
% Rule
% [154]
% multiply(b,multiply(X,multiply(c,multiply(b,multiply(X,multiply(c,multiply(b,
% multiply(X,
% multiply(a,Y)))))))))
% -> multiply(b,multiply(X,multiply(a,Y))) collapsed.
% Rule
% [156]
% multiply(c,multiply(X,multiply(c,multiply(b,multiply(X,multiply(c,multiply(b,
% multiply(X,
% multiply(a,Y)))))))))
% -> multiply(c,multiply(X,multiply(a,Y))) collapsed.
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [183]
% multiply(b,multiply(a,multiply(X,multiply(a,multiply(c,multiply(a,multiply(X,
% multiply(a,
% multiply(c,
% multiply(a,X))))))))))
% -> multiply(b,multiply(a,X))
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [184]
% multiply(c,multiply(X,multiply(a,multiply(c,multiply(c,multiply(X,multiply(a,
% multiply(c,
% multiply(c,
% multiply(X,Y))))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 458
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [185]
% multiply(X,multiply(a,multiply(c,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(c,X))))))))
% -> multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,X))))))
% Rule
% [158]
% multiply(c,multiply(X,multiply(a,multiply(c,multiply(c,multiply(X,multiply(a,
% multiply(c,
% multiply(c,X)))))))))
% -> multiply(c,X) collapsed.
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [186]
% multiply(X,multiply(c,multiply(a,multiply(c,multiply(X,multiply(c,multiply(a,
% multiply(c,
% multiply(X,
% multiply(c,Y))))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [187]
% multiply(X,multiply(c,multiply(a,multiply(c,multiply(X,multiply(c,multiply(a,
% multiply(c,X))))))))
% -> multiply(X,multiply(c,multiply(X,multiply(c,X))))
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [188]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(c,multiply(X,multiply(X,
% multiply(b,c))))))))
% -> multiply(c,multiply(X,multiply(b,multiply(c,multiply(X,multiply(b,c))))))
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [189]
% multiply(c,multiply(X,multiply(X,multiply(a,multiply(c,multiply(X,multiply(X,
% multiply(a,c))))))))
% -> multiply(c,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,c))))))
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [190]
% multiply(X,multiply(c,multiply(c,multiply(a,multiply(X,multiply(c,multiply(c,
% multiply(a,X))))))))
% -> multiply(X,multiply(c,multiply(a,multiply(X,multiply(c,multiply(a,X))))))
% Current number of equations to process: 488
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [191]
% multiply(b,multiply(X,multiply(a,multiply(c,multiply(c,multiply(X,multiply(a,
% multiply(c,
% multiply(c,
% multiply(X,a))))))))))
% -> multiply(b,multiply(X,a))
% Current number of equations to process: 492
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [192]
% multiply(c,multiply(X,multiply(Y,multiply(b,multiply(b,multiply(X,multiply(Y,
% multiply(b,
% multiply(b,
% multiply(X,Y))))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 494
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [193]
% multiply(X,multiply(c,multiply(c,multiply(b,multiply(X,multiply(c,multiply(c,
% multiply(b,X))))))))
% -> multiply(X,multiply(c,multiply(b,multiply(X,multiply(c,multiply(b,X))))))
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [194]
% multiply(c,multiply(X,multiply(b,multiply(b,multiply(c,multiply(X,multiply(b,
% multiply(b,
% multiply(c,
% multiply(X,Y))))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [195]
% multiply(X,multiply(c,multiply(a,multiply(a,multiply(X,multiply(c,multiply(a,
% multiply(a,
% multiply(X,
% multiply(c,Y))))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [196]
% multiply(b,multiply(a,multiply(X,multiply(b,multiply(c,multiply(a,multiply(X,
% multiply(b,
% multiply(c,
% multiply(a,X))))))))))
% -> multiply(b,multiply(a,X))
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [197]
% multiply(c,multiply(X,multiply(b,multiply(c,multiply(c,multiply(X,multiply(b,
% multiply(c,
% multiply(c,
% multiply(X,Y))))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [198]
% multiply(X,multiply(b,multiply(c,multiply(c,multiply(X,multiply(b,multiply(c,
% multiply(c,X))))))))
% -> multiply(X,multiply(b,multiply(c,multiply(X,multiply(b,multiply(c,X))))))
% Rule
% [164]
% multiply(c,multiply(X,multiply(b,multiply(c,multiply(c,multiply(X,multiply(b,
% multiply(c,
% multiply(c,X)))))))))
% -> multiply(c,X) collapsed.
% Current number of equations to process: 532
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [199]
% multiply(X,multiply(c,multiply(b,multiply(c,multiply(X,multiply(c,multiply(b,
% multiply(c,
% multiply(X,
% multiply(c,Y))))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [200]
% multiply(X,multiply(c,multiply(b,multiply(c,multiply(X,multiply(c,multiply(b,
% multiply(c,X))))))))
% -> multiply(X,multiply(c,multiply(X,multiply(c,X))))
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [201]
% multiply(c,multiply(X,multiply(Y,multiply(Y,multiply(b,multiply(X,multiply(Y,
% multiply(Y,
% multiply(b,
% multiply(X,Y))))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [202]
% multiply(b,multiply(a,multiply(X,multiply(X,multiply(c,multiply(a,multiply(X,
% multiply(X,
% multiply(c,
% multiply(a,X))))))))))
% -> multiply(b,multiply(a,X))
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [203]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(c,multiply(X,multiply(X,
% multiply(b,
% multiply(c,
% multiply(X,Y))))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [204]
% multiply(c,multiply(X,multiply(X,multiply(a,multiply(c,multiply(X,multiply(X,
% multiply(a,
% multiply(c,
% multiply(X,Y))))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [205]
% multiply(X,multiply(c,multiply(c,multiply(a,multiply(X,multiply(c,multiply(c,
% multiply(a,
% multiply(X,
% multiply(c,Y))))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [206]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [207]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(b,multiply(X,multiply(X,
% multiply(b,
% multiply(b,
% multiply(X,Y))))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [208]
% multiply(X,multiply(c,multiply(c,multiply(b,multiply(X,multiply(c,multiply(c,
% multiply(b,
% multiply(X,
% multiply(c,Y))))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 627
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [209]
% multiply(X,multiply(c,multiply(a,multiply(X,multiply(X,multiply(c,multiply(a,
% multiply(X,
% multiply(X,
% multiply(c,Y))))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 631
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [210]
% multiply(c,multiply(a,multiply(X,multiply(X,multiply(c,multiply(a,multiply(X,
% multiply(X,c))))))))
% -> multiply(c,multiply(a,multiply(X,multiply(c,multiply(a,multiply(X,c))))))
% Rule
% [174]
% multiply(X,multiply(c,multiply(a,multiply(X,multiply(X,multiply(c,multiply(a,
% multiply(X,
% multiply(X,c)))))))))
% -> multiply(X,c) collapsed.
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [211]
% multiply(b,multiply(a,multiply(X,multiply(X,multiply(c,multiply(a,multiply(X,
% multiply(X,c))))))))
% -> multiply(b,multiply(a,multiply(X,multiply(c,multiply(a,multiply(X,c))))))
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [212]
% multiply(b,multiply(X,multiply(a,multiply(X,multiply(c,multiply(X,multiply(a,
% multiply(X,
% multiply(c,
% multiply(X,a))))))))))
% -> multiply(b,multiply(X,a))
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [213]
% multiply(X,multiply(c,multiply(b,multiply(a,multiply(X,multiply(c,multiply(b,
% multiply(a,
% multiply(X,
% multiply(c,Y))))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [214]
% multiply(X,multiply(c,multiply(b,multiply(X,multiply(X,multiply(c,multiply(b,
% multiply(X,
% multiply(X,
% multiply(c,Y))))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 644
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [215]
% multiply(c,multiply(b,multiply(X,multiply(X,multiply(c,multiply(b,multiply(X,
% multiply(X,c))))))))
% -> multiply(c,multiply(b,multiply(X,multiply(c,multiply(b,multiply(X,c))))))
% Rule
% [178]
% multiply(X,multiply(c,multiply(b,multiply(X,multiply(X,multiply(c,multiply(b,
% multiply(X,
% multiply(X,c)))))))))
% -> multiply(X,c) collapsed.
% Current number of equations to process: 647
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [216]
% multiply(X,multiply(a,multiply(a,multiply(X,multiply(X,multiply(a,multiply(a,
% multiply(X,
% multiply(X,
% multiply(c,Y))))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 649
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [217]
% multiply(X,multiply(b,multiply(c,multiply(a,multiply(X,multiply(b,multiply(c,
% multiply(a,X))))))))
% -> multiply(X,multiply(b,multiply(a,multiply(X,multiply(b,multiply(a,X))))))
% Rule
% [196]
% multiply(b,multiply(a,multiply(X,multiply(b,multiply(c,multiply(a,multiply(X,
% multiply(b,
% multiply(c,
% multiply(a,X))))))))))
% -> multiply(b,multiply(a,X)) collapsed.
% Current number of equations to process: 651
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [218]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(c,multiply(X,multiply(X,
% multiply(b,a))))))))
% -> multiply(c,multiply(X,multiply(b,multiply(c,multiply(X,multiply(b,a))))))
% Current number of equations to process: 656
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [219]
% multiply(a,multiply(X,multiply(X,multiply(a,multiply(a,multiply(X,multiply(X,
% multiply(a,c))))))))
% -> multiply(a,multiply(X,multiply(a,multiply(a,multiply(X,multiply(a,c))))))
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [220]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,X))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,X))))))
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [221]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(b,multiply(X,multiply(X,
% muCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------