TSTP Solution File: RNG033-9 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : RNG033-9 : TPTP v6.0.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n157.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 00:31:49 EDT 2014
% Result : Timeout 300.00s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : RNG033-9 : TPTP v6.0.0. Bugfixed v2.3.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n157.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 20:45:08 CDT 2014
% % CPUTime : 300.00
% Processing problem /tmp/CiME_20156_n157.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " add : AC; w,z,y,x,additive_identity : constant; commutator : 2; associator : 3; additive_inverse : 1; multiply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% additive_identity add X = X;
% X add additive_identity = X;
% multiply(additive_identity,X) = additive_identity;
% multiply(X,additive_identity) = additive_identity;
% additive_inverse(X) add X = additive_identity;
% X add additive_inverse(X) = additive_identity;
% additive_inverse(additive_inverse(X)) = X;
% 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(multiply(X,Y),Y) = multiply(X,multiply(Y,Y));
% multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y));
% associator(X,Y,Z) = multiply(multiply(X,Y),Z) add additive_inverse(multiply(X,multiply(Y,Z)));
% commutator(X,Y) = multiply(Y,X) add additive_inverse(multiply(X,Y));
% multiply(additive_inverse(X),additive_inverse(Y)) = multiply(X,Y);
% multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y));
% multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y));
% multiply(X,Y add additive_inverse(Z)) = multiply(X,Y) add additive_inverse(multiply(X,Z));
% multiply(X add additive_inverse(Y),Z) = multiply(X,Z) add additive_inverse(multiply(Y,Z));
% multiply(additive_inverse(X),Y add Z) = additive_inverse(multiply(X,Y)) add additive_inverse(multiply(X,Z));
% multiply(X add Y,additive_inverse(Z)) = additive_inverse(multiply(X,Z)) add additive_inverse(multiply(Y,Z));
% multiply(Z,multiply(X,multiply(Y,X))) = multiply(multiply(multiply(Z,X),Y),X);
% ";
%
% let s1 = status F "
% w lr_lex;
% z lr_lex;
% y lr_lex;
% x lr_lex;
% commutator lr_lex;
% associator lr_lex;
% additive_inverse lr_lex;
% additive_identity lr_lex;
% multiply mul;
% add mul;
% ";
%
% let p1 = precedence F "
% associator > commutator > multiply > additive_inverse > add > additive_identity > x > y > z > w";
%
% let s2 = status F "
% w mul;
% z mul;
% y mul;
% x mul;
% commutator mul;
% associator mul;
% additive_inverse mul;
% multiply mul;
% add mul;
% additive_identity mul;
% ";
%
% let p2 = precedence F "
% associator > commutator > multiply > additive_inverse > add > additive_identity = x = y = z = w";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " associator(multiply(x,y),z,w) add associator(x,y,commutator(z,w)) = multiply(x,associator(y,z,w)) add multiply(associator(x,z,w),y);"
% ;
% (*
% 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 = { additive_identity add X = X,
% additive_identity add X = X,
% multiply(additive_identity,X) =
% additive_identity,
% multiply(X,additive_identity) =
% additive_identity,
% additive_inverse(X) add X = additive_identity,
% additive_inverse(X) add X = additive_identity,
% additive_inverse(additive_inverse(X)) = X,
% 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(multiply(X,Y),Y) =
% multiply(X,multiply(Y,Y)),
% multiply(multiply(X,X),Y) =
% multiply(X,multiply(X,Y)),
% associator(X,Y,Z) =
% additive_inverse(multiply(X,multiply(Y,Z))) add
% multiply(multiply(X,Y),Z),
% commutator(X,Y) =
% additive_inverse(multiply(X,Y)) add multiply(Y,X),
% multiply(additive_inverse(X),additive_inverse(Y))
% = multiply(X,Y),
% multiply(additive_inverse(X),Y) =
% additive_inverse(multiply(X,Y)),
% multiply(X,additive_inverse(Y)) =
% additive_inverse(multiply(X,Y)),
% multiply(X,additive_inverse(Z) add Y) =
% additive_inverse(multiply(X,Z)) add multiply(X,Y),
% multiply(additive_inverse(Y) add X,Z) =
% additive_inverse(multiply(Y,Z)) add multiply(X,Z),
% multiply(additive_inverse(X),Y add Z) =
% additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(X,Z)),
% multiply(X add Y,additive_inverse(Z)) =
% additive_inverse(multiply(X,Z)) add additive_inverse(
% multiply(Y,Z)),
% multiply(Z,multiply(X,multiply(Y,X))) =
% multiply(multiply(multiply(Z,X),Y),X) }
% (21 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 = { associator(x,y,commutator(z,w)) add
% associator(multiply(x,y),z,w) =
% multiply(x,associator(y,z,w)) add multiply(
% associator(x,z,w),y) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] additive_inverse(additive_inverse(X)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 18
% Current number of rules: 1
% New rule produced : [2] additive_identity add X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 17
% Current number of rules: 2
% New rule produced : [3] multiply(X,additive_identity) -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 16
% Current number of rules: 3
% New rule produced : [4] multiply(additive_identity,X) -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 15
% Current number of rules: 4
% New rule produced : [5] additive_inverse(X) add X -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 14
% Current number of rules: 5
% New rule produced :
% [6] multiply(X,additive_inverse(Y)) -> additive_inverse(multiply(X,Y))
% Current number of equations to process: 2
% Current number of ordered equations: 11
% Current number of rules: 6
% New rule produced :
% [7] multiply(additive_inverse(X),Y) -> additive_inverse(multiply(X,Y))
% Current number of equations to process: 1
% Current number of ordered equations: 10
% Current number of rules: 7
% New rule produced :
% [8] multiply(multiply(X,Y),Y) -> multiply(X,multiply(Y,Y))
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 8
% New rule produced :
% [9] multiply(multiply(X,X),Y) -> multiply(X,multiply(X,Y))
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 9
% New rule produced :
% [10] commutator(X,Y) -> additive_inverse(multiply(X,Y)) add multiply(Y,X)
% The conjecture has been reduced.
% Conjecture is now:
% associator(x,y,additive_inverse(multiply(z,w)) add multiply(w,z)) add
% associator(multiply(x,y),z,w) = multiply(x,associator(y,z,w)) add multiply(
% associator(x,z,w),y)
%
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 10
% New rule produced :
% [11] multiply(X,Y add Z) -> multiply(X,Y) add multiply(X,Z)
% Current number of equations to process: 1
% Current number of ordered equations: 5
% Current number of rules: 11
% New rule produced :
% [12] multiply(X add Y,Z) -> multiply(X,Z) add multiply(Y,Z)
% Current number of equations to process: 1
% Current number of ordered equations: 3
% Current number of rules: 12
% New rule produced :
% [13]
% multiply(multiply(multiply(Z,X),Y),X) ->
% multiply(Z,multiply(X,multiply(Y,X)))
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 13
% New rule produced :
% [14]
% additive_inverse(multiply(X,Y) add multiply(X,Z)) ->
% additive_inverse(multiply(X,Y)) add additive_inverse(multiply(X,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 14
% New rule produced :
% [15]
% additive_inverse(multiply(X,Z) add multiply(Y,Z)) ->
% additive_inverse(multiply(X,Z)) add additive_inverse(multiply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [16]
% associator(X,Y,Z) ->
% additive_inverse(multiply(X,multiply(Y,Z))) add multiply(multiply(X,Y),Z)
% The conjecture has been reduced.
% Conjecture is now:
% additive_inverse(additive_inverse(multiply(x,multiply(y,multiply(z,w)))) add
% multiply(x,multiply(y,multiply(w,z)))) add additive_inverse(
% multiply(
% multiply(x,y),
% multiply(z,w))) add
% additive_inverse(multiply(multiply(x,y),multiply(z,w))) add multiply(
% multiply(x,y),
% multiply(w,z)) add
% multiply(multiply(multiply(x,y),z),w) = additive_inverse(multiply(x,multiply(y,
% multiply(z,w)))) add
% additive_inverse(multiply(multiply(x,
% multiply(z,w)),y)) add
% multiply(x,multiply(multiply(y,z),w)) add
% multiply(multiply(multiply(x,z),w),y)
%
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17] additive_inverse(additive_identity) -> additive_identity
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18] 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: 18
% New rule produced :
% [19]
% multiply(multiply(X,multiply(Y,Y)),Y) ->
% multiply(multiply(X,Y),multiply(Y,Y))
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% multiply(multiply(X,multiply(X,Y)),Y) ->
% multiply(X,multiply(X,multiply(Y,Y)))
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 20
% Rule [19]
% multiply(multiply(X,multiply(Y,Y)),Y) ->
% multiply(multiply(X,Y),multiply(Y,Y)) is composed into [19]
% multiply(
% multiply(X,
% multiply(Y,Y)),Y)
% ->
% multiply(X,
% multiply(Y,
% multiply(Y,Y)))
% New rule produced :
% [21]
% multiply(multiply(X,Y),multiply(Y,Y)) ->
% multiply(X,multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22]
% multiply(multiply(X,multiply(X,Y)),X) ->
% multiply(X,multiply(X,multiply(Y,X)))
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [23]
% additive_inverse(additive_inverse(multiply(X,Y)) add multiply(X,Z)) ->
% additive_inverse(multiply(X,Z)) add multiply(X,Y)
% The conjecture has been reduced.
% Conjecture is now:
% additive_inverse(multiply(x,multiply(y,multiply(w,z)))) add additive_inverse(
% multiply(
% multiply(x,y),
% multiply(z,w))) add
% additive_inverse(multiply(multiply(x,y),multiply(z,w))) add multiply(x,
% multiply(y,
% multiply(z,w))) add
% multiply(multiply(x,y),multiply(w,z)) add multiply(multiply(multiply(x,y),z),w) =
% additive_inverse(multiply(x,multiply(y,multiply(z,w)))) add additive_inverse(
% multiply(
% multiply(x,
% multiply(z,w)),y)) add
% multiply(x,multiply(multiply(y,z),w)) add multiply(multiply(multiply(x,z),w),y)
%
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24]
% additive_inverse(additive_inverse(multiply(X,Y)) add multiply(Z,Y)) ->
% additive_inverse(multiply(Z,Y)) add multiply(X,Y)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25]
% multiply(multiply(X,multiply(X,multiply(X,X))),Y) ->
% multiply(X,multiply(X,multiply(X,multiply(X,Y))))
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26]
% multiply(multiply(X,multiply(Y,multiply(Z,Y))),Z) ->
% multiply(multiply(X,Y),multiply(Z,multiply(Y,Z)))
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27]
% multiply(multiply(multiply(X,Y),Z),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(Y,multiply(Z,Y))),Y)
% Current number of equations to process: 18
% Current number of ordered equations: 2
% Current number of rules: 27
% New rule produced :
% [28]
% multiply(multiply(X,multiply(Y,multiply(Z,Y))),Y) <->
% multiply(multiply(multiply(X,Y),Z),multiply(Y,Y))
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [29]
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),Y) ->
% multiply(multiply(X,Y),multiply(Y,multiply(Z,Y)))
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [30]
% multiply(multiply(X,Y),multiply(X,multiply(Y,Y))) ->
% multiply(X,multiply(Y,multiply(X,multiply(Y,Y))))
% Current number of equations to process: 16
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [31]
% multiply(multiply(multiply(X,multiply(X,Y)),Z),Y) ->
% multiply(X,multiply(X,multiply(Y,multiply(Z,Y))))
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [32]
% additive_inverse(additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(X,Z))) ->
% multiply(X,Y) add multiply(X,Z)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [33]
% additive_inverse(additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(Z,Y))) ->
% multiply(X,Y) add multiply(Z,Y)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [34] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% Rule
% [14]
% additive_inverse(multiply(X,Y) add multiply(X,Z)) ->
% additive_inverse(multiply(X,Y)) add additive_inverse(multiply(X,Z))
% collapsed.
% Rule
% [15]
% additive_inverse(multiply(X,Z) add multiply(Y,Z)) ->
% additive_inverse(multiply(X,Z)) add additive_inverse(multiply(Y,Z))
% collapsed.
% Rule [18] additive_inverse(X add Y) add Y -> additive_inverse(X) collapsed.
% Rule
% [23]
% additive_inverse(additive_inverse(multiply(X,Y)) add multiply(X,Z)) ->
% additive_inverse(multiply(X,Z)) add multiply(X,Y) collapsed.
% Rule
% [24]
% additive_inverse(additive_inverse(multiply(X,Y)) add multiply(Z,Y)) ->
% additive_inverse(multiply(Z,Y)) add multiply(X,Y) collapsed.
% Rule
% [32]
% additive_inverse(additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(X,Z))) ->
% multiply(X,Y) add multiply(X,Z) collapsed.
% Rule
% [33]
% additive_inverse(additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(Z,Y))) ->
% multiply(X,Y) add multiply(Z,Y) collapsed.
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [35]
% multiply(multiply(X,Y),multiply(Y,multiply(Y,Y))) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [36]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),Y) ->
% multiply(X,multiply(X,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [37]
% multiply(multiply(X,multiply(X,Y)),multiply(Y,Y)) ->
% multiply(X,multiply(X,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [38]
% multiply(multiply(X,multiply(X,Y)),multiply(X,X)) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,X))))
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [39]
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,Y))),V_3),Y) ->
% multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(V_3,Y)))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [40]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),Y) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 427
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [41]
% multiply(multiply(X,multiply(Y,multiply(Y,Y))),multiply(Y,Y)) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y)))))
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [42]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))),Y) ->
% multiply(multiply(X,Y),multiply(X,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [43]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),Y) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [44]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(X,Y)) ->
% multiply(X,multiply(multiply(X,Y),multiply(Y,multiply(X,Y))))
% Current number of equations to process: 570
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [45]
% multiply(multiply(multiply(X,multiply(X,multiply(Y,Y))),Z),Y) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(Z,Y)))
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [46]
% multiply(multiply(X,Y),multiply(Y,multiply(Y,multiply(Y,Y)))) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y)))))
% Current number of equations to process: 673
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [47]
% multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(Y,Y))) <->
% multiply(multiply(X,multiply(Y,multiply(Z,Y))),multiply(Y,Y))
% Current number of equations to process: 711
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [48]
% multiply(multiply(X,multiply(Y,multiply(Z,Y))),multiply(Y,Y)) <->
% multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 711
% Current number of ordered equations: 0
% Current number of rules: 41
% Rule [40]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),Y) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(Y,Y))) is composed into
% [40]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),Y) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y)))))
% New rule produced :
% [49]
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(Y,Y))) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y)))))
% Current number of equations to process: 846
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [50]
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(Y,Y))) ->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))))
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [51]
% multiply(multiply(X,multiply(X,multiply(Y,X))),multiply(X,Y)) ->
% multiply(X,multiply(multiply(X,Y),multiply(X,multiply(X,Y))))
% Current number of equations to process: 953
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [52]
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,X))) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,X)))))
% Current number of equations to process: 1025
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [53]
% multiply(multiply(multiply(X,Y),multiply(Z,multiply(Y,Z))),Z) ->
% multiply(multiply(X,multiply(Y,multiply(Z,Y))),multiply(Z,Z))
% Current number of equations to process: 1077
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [54]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,Y)))),Z) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Z,multiply(Y,Z)))
% Current number of equations to process: 1169
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [55]
% multiply(X,multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y))) <->
% multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(Z,Y)))
% Current number of equations to process: 1265
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [56]
% multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(Z,Y))) <->
% multiply(X,multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y)))
% Current number of equations to process: 1265
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [57]
% multiply(X,multiply(Y,multiply(multiply(Y,multiply(Z,Y)),Y))) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,Y)))))
% Current number of equations to process: 1457
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [58]
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,Y)))),Y)
% Current number of equations to process: 1559
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [59]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,Y)))),Y) <->
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,Y))
% Current number of equations to process: 1559
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [60]
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,Y))),Y),Z) ->
% multiply(multiply(X,Y),multiply(Z,multiply(Y,multiply(Y,Z))))
% Current number of equations to process: 1733
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [61]
% multiply(multiply(multiply(X,Y),multiply(Z,Y)),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Y,Y)))),Y)
% Current number of equations to process: 1843
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [62]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Y,Y)))),Y) <->
% multiply(multiply(multiply(X,Y),multiply(Z,Y)),multiply(Y,Y))
% Current number of equations to process: 1843
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [63]
% multiply(multiply(multiply(X,Y),multiply(Z,Z)),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,Y)))),Y)
% Current number of equations to process: 2001
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [64]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,Y)))),Y) <->
% multiply(multiply(multiply(X,Y),multiply(Z,Z)),multiply(Y,Y))
% Current number of equations to process: 2001
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [65]
% multiply(multiply(multiply(X,Y),Z),multiply(Z,multiply(Y,Z))) <->
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,Y)))),Z)
% Current number of equations to process: 2160
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [66]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,Y)))),Z) <->
% multiply(multiply(multiply(X,Y),Z),multiply(Z,multiply(Y,Z)))
% Current number of equations to process: 2160
% Current number of ordered equations: 0
% Current number of rules: 59
% Rule [42]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))),Y) ->
% multiply(multiply(X,Y),multiply(X,multiply(Y,multiply(Y,Y)))) is composed into
% [42]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))),Y) ->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,Y)))))
% New rule produced :
% [67]
% multiply(multiply(X,Y),multiply(X,multiply(Y,multiply(Y,Y)))) ->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,Y)))))
% Current number of equations to process: 2412
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [68]
% multiply(multiply(X,multiply(multiply(X,Y),multiply(X,Y))),Y) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))))
% Current number of equations to process: 2507
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [69]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(X,X)))),Y) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,Y)))))
% Current number of equations to process: 2623
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [70]
% multiply(multiply(X,multiply(X,X)),multiply(X,multiply(Y,X))) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,X)))))
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [71]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,X)))),Y) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(X,Y)))
% Current number of equations to process: 2790
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [72]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(X,Y)))),Y) ->
% multiply(multiply(X,multiply(X,multiply(Y,X))),multiply(Y,Y))
% Current number of equations to process: 2889
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [73]
% multiply(X,multiply(X,multiply(multiply(Y,multiply(X,Y)),X))) <->
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(Y,X)))
% Current number of equations to process: 2994
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [74]
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(Y,X))) <->
% multiply(X,multiply(X,multiply(multiply(Y,multiply(X,Y)),X)))
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [75]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),multiply(Y,Y)) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [76]
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),multiply(Y,multiply(Y,Y))) <->
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,Y))))),Y)
% Current number of equations to process: 3257
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [77]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,Y))))),Y) <->
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 3257
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [78]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))),Y) ->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 3445
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [79]
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(Y,multiply(Y,Y)))) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 3517
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [80]
% multiply(multiply(multiply(X,multiply(Y,multiply(Y,Y))),Z),multiply(Y,Y)) ->
% multiply(multiply(X,Y),multiply(Y,multiply(Y,multiply(Z,multiply(Y,Y)))))
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [81]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))),multiply(X,Y)) ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(Y,multiply(X,Y))))
% Current number of equations to process: 3648
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [82]
% multiply(multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),Z),Y) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,Y))))))
% Current number of equations to process: 3753
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [83]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))),Y) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 3961
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [84]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),multiply(Y,Y)) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 4044
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [85]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Y,Y)))),multiply(Z,Y)) ->
% multiply(multiply(X,Y),multiply(multiply(Z,Y),multiply(Y,multiply(Z,Y))))
% Rule
% [75]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),multiply(Y,Y)) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y))))))
% collapsed.
% Rule
% [81]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))),multiply(X,Y)) ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(Y,multiply(X,Y))))
% collapsed.
% Current number of equations to process: 4128
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [86]
% multiply(multiply(X,Y),multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y))))) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [87]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,Y))))),Z) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(Z,multiply(Y,multiply(Y,Z))))
% Current number of equations to process: 4410
% Current number of ordered equations: 2
% Current number of rules: 78
% New rule produced :
% [88]
% multiply(multiply(multiply(X,multiply(Y,X)),X),multiply(Y,multiply(X,Y))) ->
% multiply(multiply(X,multiply(Y,X)),multiply(multiply(X,multiply(Y,X)),Y))
% Current number of equations to process: 4410
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [89]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,Y)))),multiply(Z,Z)) ->
% multiply(multiply(X,Y),multiply(Z,multiply(Z,multiply(Y,multiply(Z,Z)))))
% Current number of equations to process: 4410
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [90]
% multiply(multiply(multiply(X,Y),multiply(Z,multiply(Y,Z))),multiply(Z,Z)) ->
% multiply(multiply(X,multiply(Y,multiply(Z,Y))),multiply(Z,multiply(Z,Z)))
% Current number of equations to process: 4857
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [91]
% multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(Y,multiply(Y,Y)))) <->
% multiply(multiply(X,multiply(Y,multiply(Z,Y))),multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 2196
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [92]
% multiply(multiply(X,multiply(Y,multiply(Z,Y))),multiply(Y,multiply(Y,Y))) <->
% multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 2196
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [93]
% multiply(multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(V_3,Y))),Y)
% <->
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,Y))),V_3),multiply(Y,Y))
% Current number of equations to process: 2454
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [94]
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,Y))),V_3),multiply(Y,Y))
% <->
% multiply(multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(V_3,Y))),Y)
% Current number of equations to process: 2454
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [95]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(Z,X))),X) <->
% multiply(multiply(multiply(X,multiply(X,multiply(Y,X))),Z),multiply(X,X))
% Current number of equations to process: 2885
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [96]
% multiply(multiply(multiply(X,multiply(X,multiply(Y,X))),Z),multiply(X,X)) <->
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(Z,X))),X)
% Current number of equations to process: 2885
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [97]
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,Y))),Y),multiply(Z,Z)) ->
% multiply(multiply(multiply(X,Y),multiply(Z,multiply(Y,multiply(Y,Z)))),Z)
% Current number of equations to process: 3236
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [98]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(V_3,Y))))),Y)
% <->
% multiply(multiply(multiply(X,Y),multiply(multiply(Z,Y),V_3)),multiply(Y,Y))
% Current number of equations to process: 3385
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [99]
% multiply(multiply(multiply(X,Y),multiply(multiply(Z,Y),V_3)),multiply(Y,Y))
% <->
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(V_3,Y))))),Y)
% Current number of equations to process: 3385
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [100]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Y,Y))))),Y) <->
% multiply(multiply(multiply(X,Y),multiply(Z,multiply(Y,Y))),multiply(Y,Y))
% Current number of equations to process: 3791
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [101]
% multiply(multiply(multiply(X,Y),multiply(Z,multiply(Y,Y))),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Y,Y))))),Y)
% Current number of equations to process: 3791
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [102]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Y,Y))))),Y) <->
% multiply(multiply(multiply(X,Y),multiply(Z,multiply(Z,Y))),multiply(Y,Y))
% Current number of equations to process: 4047
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [103]
% multiply(multiply(multiply(X,Y),multiply(Z,multiply(Z,Y))),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Y,Y))))),Y)
% Current number of equations to process: 4047
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [104]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Z,Y))))),Y) <->
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(Y,Z))),multiply(Y,Y))
% Current number of equations to process: 4328
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [105]
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(Y,Z))),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Z,Y))))),Y)
% Current number of equations to process: 4328
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [106]
% multiply(multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),Z),Y) ->
% multiply(multiply(X,multiply(Y,multiply(Y,Y))),multiply(Y,multiply(Z,Y)))
% Current number of equations to process: 4670
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [107]
% multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,multiply(Y,Y)))) ->
% multiply(multiply(X,Y),multiply(Y,multiply(X,multiply(Y,multiply(Y,Y)))))
% Current number of equations to process: 4831
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [108]
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(Z,Y))),multiply(Y,Y)) <->
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 4958
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [109]
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),multiply(Y,multiply(Y,Y))) <->
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(Z,Y))),multiply(Y,Y))
% Current number of equations to process: 4958
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [110]
% multiply(multiply(X,Y),multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y))) <->
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),multiply(Y,multiply(Z,Y)))
% Current number of equations to process: 2248
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [111]
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),multiply(Y,multiply(Z,Y))) <->
% multiply(multiply(X,Y),multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y)))
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [112]
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,Y)))),Y),Z) ->
% multiply(multiply(multiply(X,Y),Z),multiply(Z,multiply(Y,multiply(Y,Z))))
% Current number of equations to process: 2639
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [113]
% multiply(multiply(multiply(X,multiply(Y,Y)),multiply(Z,multiply(Y,Z))),Z) ->
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(Z,Y))),multiply(Z,Z))
% Current number of equations to process: 2639
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [114]
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),multiply(Z,multiply(Y,Z))) <->
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(Z,multiply(Z,Y)))),Z)
% Current number of equations to process: 3081
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [115]
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(Z,multiply(Z,Y)))),Z) <->
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),multiply(Z,multiply(Y,Z)))
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [116]
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(Y,Y)))) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,Y))))))
% Current number of equations to process: 3539
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [117]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,Y))))),Y) ->
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))),multiply(Y,Y))
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [118]
% multiply(multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))),Z),Y) ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(Y,multiply(Z,Y))))
% Current number of equations to process: 3842
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [119]
% multiply(multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,Y)))),V_3),Y)
% ->
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,multiply(V_3,Y)))
% Current number of equations to process: 4040
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [120]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Z,Y))))),Z) ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(Z,multiply(Y,Z))))
% Rule
% [117]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,Y))))),Y) ->
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))),multiply(Y,Y))
% collapsed.
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [121]
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,multiply(Y,Y))) <->
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,Y)))),multiply(Y,Y))
% Current number of equations to process: 4662
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [122]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,Y)))),multiply(Y,Y)) <->
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 4662
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [123]
% multiply(X,multiply(X,multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y)))) <->
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,multiply(Z,Y)))
% Current number of equations to process: 1370
% Current number of ordered equations: 2
% Current number of rules: 113
% New rule produced :
% [124]
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,multiply(Z,Y))) <->
% multiply(X,multiply(X,multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y))))
% Current number of equations to process: 1370
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [125]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(X,Y)))),multiply(Y,X)) ->
% multiply(X,multiply(X,multiply(multiply(Y,X),multiply(Y,multiply(Y,X)))))
% Current number of equations to process: 1370
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [126]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(Z,multiply(Y,Z))),Z) ->
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,Y)))),multiply(Z,Z))
% Current number of equations to process: 2153
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [127]
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Z,multiply(Y,Z))) <->
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,Y))))),Z)
% Current number of equations to process: 2447
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [128]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,Y))))),Z) <->
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Z,multiply(Y,Z)))
% Current number of equations to process: 2447
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [129]
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(X,X)))) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,X))))))
% Current number of equations to process: 3014
% Current number of ordered equations: 0
% Current number of rules: 119
% Rule [78]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))),Y)
% ->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(Y,multiply(Y,Y))) is composed into
% [78]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))),Y) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(Y,multiply(Y,Y))))
% New rule produced :
% [130]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(Y,multiply(Y,Y))) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 3155
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [131]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,Y)))),multiply(Y,Y)) ->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 3278
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [132]
% multiply(multiply(X,Y),multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))) ->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 3371
% Current number of ordered equations: 1
% Current number of rules: 122
% Rule [130]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(Y,multiply(Y,Y)))
% ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(Y,multiply(Y,Y)))) is composed into
% [130]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(Y,multiply(Y,Y))) ->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y))))))
% Rule [78]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))),Y)
% ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(Y,multiply(Y,Y)))) is composed into
% [78]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))),Y) ->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y))))))
% New rule produced :
% [133]
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(Y,multiply(Y,Y)))) ->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 3371
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [134]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,Y)))),multiply(X,Y)) ->
% multiply(X,multiply(multiply(X,Y),multiply(Y,multiply(Y,multiply(X,Y)))))
% Current number of equations to process: 3671
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [135]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))),multiply(Y,Y)) ->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 3918
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [136]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(X,X)))),multiply(X,Y)) ->
% multiply(X,multiply(multiply(X,Y),multiply(X,multiply(X,multiply(X,Y)))))
% Current number of equations to process: 3997
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [137]
% multiply(multiply(multiply(X,multiply(X,multiply(Y,multiply(X,X)))),Z),X) ->
% multiply(multiply(X,multiply(X,multiply(Y,X))),multiply(X,multiply(Z,X)))
% Current number of equations to process: 4232
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [138]
% multiply(multiply(multiply(multiply(X,Y),Z),V_3),multiply(Z,multiply(Y,Z)))
% <->
% multiply(multiply(X,multiply(Y,multiply(multiply(Z,multiply(V_3,Z)),Y))),Z)
% Current number of equations to process: 4472
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [139]
% multiply(multiply(X,multiply(Y,multiply(multiply(Z,multiply(V_3,Z)),Y))),Z)
% <->
% multiply(multiply(multiply(multiply(X,Y),Z),V_3),multiply(Z,multiply(Y,Z)))
% Current number of equations to process: 4472
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [140]
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,multiply(Y,Y)))),V_3),Y)
% ->
% multiply(multiply(multiply(X,Y),multiply(Z,Y)),multiply(Y,multiply(V_3,Y)))
% Rule
% [106]
% multiply(multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),Z),Y) ->
% multiply(multiply(X,multiply(Y,multiply(Y,Y))),multiply(Y,multiply(Z,Y)))
% collapsed.
% Rule
% [118]
% multiply(multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))),Z),Y) ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(Y,multiply(Z,Y))))
% collapsed.
% Rule
% [137]
% multiply(multiply(multiply(X,multiply(X,multiply(Y,multiply(X,X)))),Z),X) ->
% multiply(multiply(X,multiply(X,multiply(Y,X))),multiply(X,multiply(Z,X)))
% collapsed.
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [141]
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,Y)))),V_3),Y)
% ->
% multiply(multiply(multiply(X,Y),multiply(Z,Z)),multiply(Y,multiply(V_3,Y)))
% Current number of equations to process: 1268
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [142]
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(Y,multiply(X,X)))) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,X))))))
% Current number of equations to process: 1677
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [143]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,X))))),Y) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(X,multiply(X,Y))))
% Current number of equations to process: 1914
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [144]
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,Y))),multiply(Y,Y)),Z) ->
% multiply(multiply(X,Y),multiply(Z,multiply(multiply(Y,multiply(Y,Y)),Z)))
% Current number of equations to process: 2104
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [145]
% multiply(multiply(multiply(X,Y),multiply(Z,Y)),multiply(Y,multiply(Y,Y))) <->
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Y,Y)))),multiply(Y,Y))
% Current number of equations to process: 2390
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [146]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Y,Y)))),multiply(Y,Y)) <->
% multiply(multiply(multiply(X,Y),multiply(Z,Y)),multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 2390
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [147]
% multiply(multiply(multiply(X,Y),multiply(Z,Z)),multiply(Y,multiply(Y,Y))) <->
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,Y)))),multiply(Y,Y))
% Current number of equations to process: 2754
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [148]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,Y)))),multiply(Y,Y)) <->
% multiply(multiply(multiply(X,Y),multiply(Z,Z)),multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [149]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,X))))),Y) ->
% multiply(multiply(X,multiply(X,X)),multiply(multiply(X,multiply(X,X)),Y))
% Current number of equations to process: 3111
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [150]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,X))))),Y) ->
% multiply(X,multiply(X,multiply(Y,multiply(multiply(X,multiply(X,X)),Y))))
% Current number of equations to process: 3381
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [151]
% multiply(multiply(X,multiply(Y,multiply(Z,Y))),multiply(Z,multiply(Y,Z))) ->
% multiply(multiply(X,Y),multiply(Z,multiply(multiply(Y,multiply(Z,Y)),Z)))
% Current number of equations to process: 3596
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [152]
% multiply(multiply(X,multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y))),Z) ->
% multiply(multiply(X,Y),multiply(Z,multiply(multiply(Y,multiply(Z,Y)),Z)))
% Current number of equations to process: 3596
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [153]
% multiply(X,multiply(X,multiply(multiply(X,multiply(Y,multiply(X,X))),X))) ->
% multiply(X,multiply(X,multiply(multiply(X,multiply(Y,X)),multiply(X,X))))
% Current number of equations to process: 4371
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [154]
% multiply(X,multiply(Y,multiply(multiply(Y,multiply(Z,multiply(Y,Y))),Y))) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,multiply(Y,Y))))))
% Rule
% [153]
% multiply(X,multiply(X,multiply(multiply(X,multiply(Y,multiply(X,X))),X))) ->
% multiply(X,multiply(X,multiply(multiply(X,multiply(Y,X)),multiply(X,X))))
% collapsed.
% Current number of equations to process: 4575
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [155]
% multiply(X,multiply(X,multiply(multiply(X,multiply(Y,X)),multiply(X,X)))) ->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,X))))))
% Current number of equations to process: 4574
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [156]
% multiply(X,multiply(Y,multiply(multiply(Y,multiply(Z,multiply(Z,Y))),Y))) ->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Y,Y))))))
% Current number of equations to process: 2905
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [157]
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(Z,Y))),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,Y))))),Y)
% Current number of equations to process: 3289
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [158]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,Y))))),Y) <->
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(Z,Y))),multiply(Y,Y))
% Current number of equations to process: 3289
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [159]
% multiply(multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,Y)))),Y),Z) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Z,multiply(Y,multiply(Y,Z))))
% Current number of equations to process: 3729
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [160]
% multiply(multiply(X,multiply(multiply(X,Y),multiply(X,Y))),multiply(Y,Y)) ->
% multiply(multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,Y))))),Y)
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [161]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,Y))))),Y) ->
% multiply(multiply(X,multiply(X,multiply(Y,multiply(X,X)))),multiply(Y,Y))
% Current number of equations to process: 4270
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [162]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Y,Y))))),Y) <->
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(Z,Y)),multiply(Y,Y))
% Current number of equations to process: 4546
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [163]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(Z,Y)),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Y,Y))))),Y)
% Current number of equations to process: 4546
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [164]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,Y))))),Y) <->
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(Z,Z)),multiply(Y,Y))
% Current number of equations to process: 1771
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [165]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(Z,Z)),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,Y))))),Y)
% Current number of equations to process: 1771
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [166]
% multiply(X,multiply(multiply(Y,multiply(Z,Y)),multiply(Y,multiply(Z,Y)))) <->
% multiply(X,multiply(Y,multiply(multiply(Z,multiply(Y,multiply(Y,Z))),Y)))
% Current number of equations to process: 2234
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [167]
% multiply(X,multiply(Y,multiply(multiply(Z,multiply(Y,multiply(Y,Z))),Y))) <->
% multiply(X,multiply(multiply(Y,multiply(Z,Y)),multiply(Y,multiply(Z,Y))))
% Current number of equations to process: 2234
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [168]
% multiply(multiply(X,multiply(X,X)),multiply(X,multiply(Y,multiply(X,X)))) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(X,X))))))
% Current number of equations to process: 3052
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [169]
% multiply(multiply(X,multiply(X,X)),multiply(X,multiply(Y,multiply(Y,X)))) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X))))))
% Current number of equations to process: 3206
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [170]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(X,Y)))),multiply(Y,Y)) ->
% multiply(multiply(X,multiply(X,multiply(Y,X))),multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 3446
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [171]
% multiply(multiply(multiply(X,multiply(X,X)),Y),multiply(X,multiply(X,X))) ->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,X))))))
% Current number of equations to process: 3607
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [172]
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,multiply(X,Y))) <->
% multiply(multiply(X,multiply(X,multiply(multiply(Y,multiply(Z,Y)),X))),Y)
% Current number of equations to process: 3762
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [173]
% multiply(multiply(X,multiply(X,multiply(multiply(Y,multiply(Z,Y)),X))),Y) <->
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,multiply(X,Y)))
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 159
% Rule [123]
% multiply(X,multiply(X,multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y))))
% <->
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,multiply(Z,Y))) is composed into
% [123]
% multiply(X,multiply(X,multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y)))) <->
% multiply(X,multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(Z,Y))))
% New rule produced :
% [174]
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,multiply(Z,Y))) ->
% multiply(X,multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(Z,Y))))
% Rule
% [124]
% multiply(multiply(multiply(X,multiply(X,Y)),Z),multiply(Y,multiply(Z,Y))) <->
% multiply(X,multiply(X,multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y))))
% collapsed.
% Current number of equations to process: 4547
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [175]
% multiply(multiply(X,multiply(Y,multiply(multiply(Z,multiply(Z,Z)),Y))),Z) <->
% multiply(multiply(multiply(X,Y),multiply(Z,Z)),multiply(Z,multiply(Y,Z)))
% Current number of equations to process: 1263
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [176]
% multiply(multiply(multiply(X,Y),multiply(Z,Z)),multiply(Z,multiply(Y,Z))) <->
% multiply(multiply(X,multiply(Y,multiply(multiply(Z,multiply(Z,Z)),Y))),Z)
% Current number of equations to process: 1263
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [177]
% multiply(multiply(X,multiply(X,multiply(multiply(Y,multiply(Y,Y)),X))),Y) ->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(Y,multiply(X,Y)))
% Current number of equations to process: 1907
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [178]
% multiply(multiply(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,multiply(Z,Y)))),Y)
% ->
% multiply(multiply(multiply(X,Y),Z),multiply(multiply(multiply(X,Y),Z),
% multiply(Y,Y)))
% Current number of equations to process: 2126
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [179]
% multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))))
% ->
% multiply(multiply(X,Y),multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [180]
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(Y,multiply(Y,Y)))))
% ->
% multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,Y)))))))
% Current number of equations to process: 2896
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [181]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,Y))))),
% multiply(Y,Y)) ->
% multiply(multiply(X,Y),multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 3197
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [182]
% multiply(multiply(X,multiply(Y,multiply(Y,Y))),multiply(Y,multiply(Y,
% multiply(Y,Y)))) ->
% multiply(multiply(X,Y),multiply(Y,multiply(Y,multiply(Y,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 3323
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [183]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(Y,X)))),X)
% ->
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(Y,multiply(X,X)))))
% Current number of equations to process: 3418
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [184]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,Y))))),
% multiply(X,Y)) ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(Y,multiply(Y,multiply(X,Y)))))
% Current number of equations to process: 3835
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [185]
% multiply(X,multiply(multiply(X,multiply(X,X)),multiply(Y,multiply(X,multiply(X,X)))))
% ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,X)))))))
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [186]
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,Y))),Y),multiply(Z,
% multiply(Y,Z))) ->
% multiply(multiply(X,multiply(multiply(Y,multiply(Z,Y)),multiply(Y,multiply(Z,Y)))),Z)
% Current number of equations to process: 4382
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [187]
% multiply(X,multiply(multiply(Y,multiply(Z,Y)),multiply(Z,multiply(Y,multiply(Z,Y)))))
% <->
% multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y)))
% Current number of equations to process: 4898
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [188]
% multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(multiply(Z,multiply(Y,Z)),Y)))
% <->
% multiply(X,multiply(multiply(Y,multiply(Z,Y)),multiply(Z,multiply(Y,multiply(Z,Y)))))
% Current number of equations to process: 4898
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [189]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,Y)))))),Z)
% ->
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),multiply(Z,
% multiply(Y,Z)))
% Current number of equations to process: 4049
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [190]
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),multiply(Y,multiply(Y,
% multiply(Y,Y))))
% <->
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,Y))))),
% multiply(Y,Y))
% Current number of equations to process: 4509
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [191]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,Y))))),
% multiply(Y,Y)) <->
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),multiply(Y,multiply(Y,
% multiply(Y,Y))))
% Current number of equations to process: 4509
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [192]
% multiply(multiply(multiply(multiply(X,multiply(Y,multiply(Z,Y))),Y),V_3),
% multiply(Y,Y)) ->
% multiply(multiply(multiply(X,Y),Z),multiply(Y,multiply(Y,multiply(V_3,
% multiply(Y,Y)))))
% Current number of equations to process: 4792
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [193]
% multiply(multiply(X,multiply(multiply(X,Y),multiply(Y,multiply(X,Y)))),
% multiply(X,Y)) ->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(multiply(X,Y),
% multiply(X,Y)))
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [194]
% multiply(multiply(X,multiply(multiply(X,Y),multiply(X,multiply(X,Y)))),
% multiply(X,Y)) ->
% multiply(multiply(X,multiply(X,multiply(Y,X))),multiply(multiply(X,Y),
% multiply(X,Y)))
% Current number of equations to process: 2889
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [195]
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,Y))),multiply(Z,multiply(V_3,Z))),Z)
% <->
% multiply(multiply(multiply(multiply(X,Y),multiply(Z,multiply(Y,Z))),V_3),
% multiply(Z,Z))
% Current number of equations to process: 3386
% Current number of ordered equations: 3
% Current number of rules: 180
% New rule produced :
% [196]
% multiply(multiply(multiply(multiply(X,Y),multiply(Z,multiply(Y,Z))),V_3),
% multiply(Z,Z)) <->
% multiply(multiply(multiply(X,multiply(Y,multiply(Z,Y))),multiply(Z,multiply(V_3,Z))),Z)
% Current number of equations to process: 3386
% Current number of ordered equations: 2
% Current number of rules: 181
% New rule produced :
% [197]
% multiply(X,multiply(multiply(Y,multiply(Z,Y)),multiply(Y,multiply(Y,multiply(Z,Y)))))
% <->
% multiply(X,multiply(Y,multiply(multiply(Z,multiply(multiply(Y,multiply(Y,Y)),Z)),Y)))
% Current number of equations to process: 4373
% Current number of ordered equations: 3
% Current number of rules: 182
% New rule produced :
% [198]
% multiply(X,multiply(Y,multiply(multiply(Z,multiply(multiply(Y,multiply(Y,Y)),Z)),Y)))
% <->
% multiply(X,multiply(multiply(Y,multiply(Z,Y)),multiply(Y,multiply(Y,multiply(Z,Y)))))
% Current number of equations to process: 4373
% Current number of ordered equations: 2
% Current number of rules: 183
% New rule produced :
% [199]
% multiply(multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),Z),
% multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,Y)))))),Y)
% Current number of equations to process: 2148
% Current number of ordered equations: 3
% Current number of rules: 184
% New rule produced :
% [200]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,Y)))))),Y)
% <->
% multiply(multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),Z),
% multiply(Y,Y))
% Current number of equations to process: 2148
% Current number of ordered equations: 2
% Current number of rules: 185
% New rule produced :
% [201]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Z,Y)))))),Y)
% <->
% multiply(multiply(multiply(X,Y),multiply(Z,multiply(Z,multiply(Z,Z)))),
% multiply(Y,Y))
% Current number of equations to process: 2148
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [202]
% multiply(multiply(multiply(X,Y),multiply(Z,multiply(Z,multiply(Z,Z)))),
% multiply(Y,Y)) <->
% Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------