TSTP Solution File: RNG025-8 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : RNG025-8 : TPTP v6.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n151.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 00:31:45 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 : RNG025-8 : TPTP v6.0.0. Released v1.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n151.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 17:55:38 CDT 2014
% % CPUTime : 300.00
% Processing problem /tmp/CiME_37920_n151.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " add : AC; c,b,a,additive_identity : constant; commutator : 2; associator : 3; additive_inverse : 1; multiply : 2;";
% let X = vars "X Y Z U V";
% 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;
% multiply(X,Y add Z) = multiply(X,Y) add multiply(X,Z);
% multiply(X add Y,Z) = multiply(X,Z) add multiply(Y,Z);
% additive_inverse(additive_inverse(X)) = X;
% multiply(multiply(X,Y),Y) = multiply(X,multiply(Y,Y));
% multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y));
% associator(X,Y,U add V) = associator(X,Y,U) add associator(X,Y,V);
% associator(X,U add V,Y) = associator(X,U,Y) add associator(X,V,Y);
% associator(U add V,X,Y) = associator(U,X,Y) add associator(V,X,Y);
% commutator(X,Y) = multiply(Y,X) add additive_inverse(multiply(X,Y));
% ";
%
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% commutator lr_lex;
% associator lr_lex;
% additive_inverse lr_lex;
% additive_identity lr_lex;
% multiply mul;
% add mul;
% ";
%
% let p1 = precedence F "
% commutator > associator > multiply > additive_inverse > add > additive_identity > a > b > c";
%
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% commutator mul;
% associator mul;
% additive_inverse mul;
% multiply mul;
% additive_identity mul;
% add mul;
% ";
%
% let p2 = precedence F "
% commutator > associator > 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 " associator(a,b,c) add associator(a,c,b) = additive_identity;"
% ;
% (*
% 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,
% multiply(X,Y add Z) =
% multiply(X,Y) add multiply(X,Z),
% multiply(X add Y,Z) =
% multiply(X,Z) add multiply(Y,Z),
% additive_inverse(additive_inverse(X)) = X,
% multiply(multiply(X,Y),Y) =
% multiply(X,multiply(Y,Y)),
% multiply(multiply(X,X),Y) =
% multiply(X,multiply(X,Y)),
% associator(X,Y,U add V) =
% associator(X,Y,U) add associator(X,Y,V),
% associator(X,U add V,Y) =
% associator(X,U,Y) add associator(X,V,Y),
% associator(U add V,X,Y) =
% associator(U,X,Y) add associator(V,X,Y),
% commutator(X,Y) =
% additive_inverse(multiply(X,Y)) add multiply(Y,X) }
% (15 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(a,c,b) add associator(a,b,c) =
% additive_identity } (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: 14
% 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: 13
% 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: 12
% 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: 11
% 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: 10
% Current number of rules: 5
% New rule produced :
% [6] multiply(X,multiply(X,Y)) <-> multiply(multiply(X,X),Y)
% Current number of equations to process: 14
% Current number of ordered equations: 12
% Current number of rules: 6
% New rule produced :
% [7] multiply(X,multiply(Y,Y)) <-> multiply(multiply(X,Y),Y)
% Current number of equations to process: 14
% Current number of ordered equations: 11
% 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: 14
% 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: 14
% 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)
% Current number of equations to process: 14
% 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: 14
% Current number of ordered equations: 7
% 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: 14
% Current number of ordered equations: 6
% Current number of rules: 12
% New rule produced :
% [13] associator(U add V,X,Y) -> associator(U,X,Y) add associator(V,X,Y)
% Current number of equations to process: 14
% Current number of ordered equations: 5
% Current number of rules: 13
% New rule produced :
% [14] associator(X,Y,U add V) -> associator(X,Y,U) add associator(X,Y,V)
% Current number of equations to process: 14
% Current number of ordered equations: 4
% Current number of rules: 14
% New rule produced :
% [15] associator(X,U add V,Y) -> associator(X,U,Y) add associator(X,V,Y)
% Current number of equations to process: 14
% Current number of ordered equations: 3
% Current number of rules: 15
% New rule produced :
% [16] additive_inverse(additive_identity) -> additive_identity
% Current number of equations to process: 14
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [17] 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: 17
% New rule produced :
% [18] multiply(X,additive_inverse(Y)) add multiply(X,Y) -> additive_identity
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19] multiply(additive_inverse(X),Y) add multiply(X,Y) -> additive_identity
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% multiply(X,multiply(multiply(X,X),Y)) ->
% multiply(multiply(X,X),multiply(X,Y))
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21]
% multiply(X,multiply(multiply(X,Y),Y)) ->
% multiply(multiply(X,X),multiply(Y,Y))
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22]
% multiply(multiply(X,multiply(Y,Y)),Y) ->
% multiply(multiply(X,Y),multiply(Y,Y))
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [23]
% multiply(X,multiply(X,multiply(Y,Y))) <->
% multiply(multiply(multiply(X,X),Y),Y)
% Current number of equations to process: 15
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [24]
% multiply(multiply(multiply(X,X),Y),Y) <->
% multiply(X,multiply(X,multiply(Y,Y)))
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25]
% multiply(multiply(X,multiply(X,Y)),Y) ->
% multiply(multiply(X,X),multiply(Y,Y))
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26]
% associator(additive_identity,Y,Z) add associator(X,Y,Z) -> associator(X,Y,Z)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27]
% associator(X,Y,additive_identity) add associator(X,Y,Z) -> associator(X,Y,Z)
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [28]
% associator(X,additive_identity,Z) add associator(X,Y,Z) -> associator(X,Y,Z)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [29] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% Rule [17] additive_inverse(X add Y) add Y -> additive_inverse(X) collapsed.
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30] multiply(X,additive_inverse(Y)) -> additive_inverse(multiply(X,Y))
% Rule
% [18] multiply(X,additive_inverse(Y)) add multiply(X,Y) -> additive_identity
% collapsed.
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [31] multiply(additive_inverse(X),Y) -> additive_inverse(multiply(X,Y))
% Rule
% [19] multiply(additive_inverse(X),Y) add multiply(X,Y) -> additive_identity
% collapsed.
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [32] associator(additive_identity,X,Y) -> additive_identity
% Rule
% [26]
% associator(additive_identity,Y,Z) add associator(X,Y,Z) -> associator(X,Y,Z)
% collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [33] associator(X,Y,additive_identity) -> additive_identity
% Rule
% [27]
% associator(X,Y,additive_identity) add associator(X,Y,Z) -> associator(X,Y,Z)
% collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [34] associator(X,additive_identity,Y) -> additive_identity
% Rule
% [28]
% associator(X,additive_identity,Z) add associator(X,Y,Z) -> associator(X,Y,Z)
% collapsed.
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [35]
% associator(additive_inverse(Z),X,Y) add associator(Z,X,Y) ->
% additive_identity
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [36]
% associator(additive_inverse(X),Y,Z) -> additive_inverse(associator(X,Y,Z))
% Rule
% [35]
% associator(additive_inverse(Z),X,Y) add associator(Z,X,Y) ->
% additive_identity collapsed.
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [37]
% associator(X,Y,additive_inverse(Z)) add associator(X,Y,Z) ->
% additive_identity
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [38]
% associator(X,Y,additive_inverse(Z)) -> additive_inverse(associator(X,Y,Z))
% Rule
% [37]
% associator(X,Y,additive_inverse(Z)) add associator(X,Y,Z) ->
% additive_identity collapsed.
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [39]
% associator(X,additive_inverse(Z),Y) add associator(X,Z,Y) ->
% additive_identity
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [40]
% associator(X,additive_inverse(Y),Z) -> additive_inverse(associator(X,Y,Z))
% Rule
% [39]
% associator(X,additive_inverse(Z),Y) add associator(X,Z,Y) ->
% additive_identity collapsed.
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [41]
% multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))) <->
% multiply(multiply(multiply(X,Y),Y),multiply(Y,Y))
% Current number of equations to process: 67
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [42]
% multiply(multiply(multiply(X,Y),Y),multiply(Y,Y)) <->
% multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [43]
% multiply(multiply(X,X),multiply(X,multiply(X,Y))) <->
% multiply(multiply(multiply(X,X),multiply(X,X)),Y)
% Current number of equations to process: 87
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [44]
% multiply(multiply(multiply(X,X),multiply(X,X)),Y) <->
% multiply(multiply(X,X),multiply(X,multiply(X,Y)))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [45]
% multiply(X,multiply(multiply(multiply(X,X),Y),Y)) <->
% multiply(multiply(X,X),multiply(X,multiply(Y,Y)))
% Current number of equations to process: 109
% Current number of ordered equations: 3
% Current number of rules: 36
% New rule produced :
% [46]
% multiply(multiply(X,X),multiply(X,multiply(Y,Y))) <->
% multiply(X,multiply(multiply(multiply(X,X),Y),Y))
% Current number of equations to process: 109
% Current number of ordered equations: 2
% Current number of rules: 37
% New rule produced :
% [47]
% multiply(multiply(X,X),multiply(X,multiply(X,X))) <->
% multiply(multiply(X,multiply(X,X)),multiply(X,X))
% Current number of equations to process: 109
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [48]
% multiply(multiply(X,multiply(X,X)),multiply(X,X)) <->
% multiply(multiply(X,X),multiply(X,multiply(X,X)))
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [49]
% multiply(multiply(X,X),multiply(multiply(X,X),X)) <->
% multiply(multiply(multiply(X,X),X),multiply(X,X))
% Current number of equations to process: 188
% Current number of ordered equations: 3
% Current number of rules: 40
% New rule produced :
% [50]
% multiply(multiply(multiply(X,X),Y),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),Y)
% Current number of equations to process: 188
% Current number of ordered equations: 2
% Current number of rules: 41
% New rule produced :
% [51]
% multiply(multiply(multiply(X,X),X),multiply(X,X)) <->
% multiply(multiply(X,X),multiply(multiply(X,X),X))
% Current number of equations to process: 188
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [52]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),Y) <->
% multiply(multiply(multiply(X,X),Y),multiply(Y,Y))
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 43
% Rule [46]
% multiply(multiply(X,X),multiply(X,multiply(Y,Y))) <->
% multiply(X,multiply(multiply(multiply(X,X),Y),Y)) is composed into
% [46]
% multiply(multiply(X,X),multiply(X,multiply(Y,Y))) <->
% multiply(multiply(X,X),multiply(multiply(X,Y),Y))
% New rule produced :
% [53]
% multiply(X,multiply(multiply(multiply(X,X),Y),Y)) ->
% multiply(multiply(X,X),multiply(multiply(X,Y),Y))
% Rule
% [45]
% multiply(X,multiply(multiply(multiply(X,X),Y),Y)) <->
% multiply(multiply(X,X),multiply(X,multiply(Y,Y))) collapsed.
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 43
% Rule [50]
% multiply(multiply(multiply(X,X),Y),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),Y) is composed into
% [50]
% multiply(multiply(multiply(X,X),Y),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,Y))
% New rule produced :
% [54]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),Y) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,Y))
% Rule
% [52]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),Y) <->
% multiply(multiply(multiply(X,X),Y),multiply(Y,Y)) collapsed.
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [55]
% multiply(X,multiply(X,Y)) add multiply(X,multiply(X,Z)) <->
% multiply(multiply(X,X),Y) add multiply(multiply(X,X),Z)
% Current number of equations to process: 281
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [56]
% multiply(multiply(X,X),Y) add multiply(multiply(X,X),Z) <->
% multiply(X,multiply(X,Y)) add multiply(X,multiply(X,Z))
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [57]
% multiply(X,multiply(Y,Y)) add multiply(Z,multiply(Y,Y)) <->
% multiply(multiply(X,Y),Y) add multiply(multiply(Z,Y),Y)
% Current number of equations to process: 395
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [58]
% multiply(multiply(X,Y),Y) add multiply(multiply(Z,Y),Y) <->
% multiply(X,multiply(Y,Y)) add multiply(Z,multiply(Y,Y))
% Current number of equations to process: 395
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [59]
% multiply(X,multiply(multiply(multiply(X,X),multiply(X,X)),Y)) <->
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(X,Y)))
% Current number of equations to process: 528
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [60]
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(X,Y))) <->
% multiply(X,multiply(multiply(multiply(X,X),multiply(X,X)),Y))
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [61]
% multiply(X,multiply(multiply(multiply(X,X),Y),multiply(X,Y))) ->
% multiply(multiply(X,X),multiply(multiply(X,Y),multiply(X,Y)))
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [62]
% multiply(X,multiply(multiply(multiply(X,Y),Y),multiply(Y,Y))) ->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Y,Y)))
% Current number of equations to process: 617
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [63]
% multiply(multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))),Y) <->
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(Y,Y))
% Current number of equations to process: 646
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [64]
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))),Y)
% Current number of equations to process: 646
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [65]
% multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,Y)))) <->
% multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),Y)
% Current number of equations to process: 716
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [66]
% multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),Y) <->
% multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,Y))))
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [67]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))) <->
% multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Y,Y))
% Current number of equations to process: 790
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [68]
% multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Y,Y)) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))))
% Current number of equations to process: 790
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [69]
% multiply(multiply(multiply(X,Y),multiply(X,multiply(Y,Y))),Y) ->
% multiply(multiply(multiply(X,Y),multiply(X,Y)),multiply(Y,Y))
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [70]
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,Y))),Y) ->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(Y,Y))
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 59
% Rule [60]
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(X,Y))) <->
% multiply(X,multiply(multiply(multiply(X,X),multiply(X,X)),Y)) is composed into
% [60]
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(X,Y))) <->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(X,Y))
% New rule produced :
% [71]
% multiply(X,multiply(multiply(multiply(X,X),multiply(X,X)),Y)) ->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(X,Y))
% Rule
% [59]
% multiply(X,multiply(multiply(multiply(X,X),multiply(X,X)),Y)) <->
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(X,Y))) collapsed.
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 59
% Rule [64]
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))),Y) is composed into
% [64]
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(Y,Y)) <->
% multiply(multiply(X,Y),multiply(multiply(Y,Y),multiply(Y,Y)))
% New rule produced :
% [72]
% multiply(multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))),Y) ->
% multiply(multiply(X,Y),multiply(multiply(Y,Y),multiply(Y,Y)))
% Rule
% [63]
% multiply(multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))),Y) <->
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(Y,Y)) collapsed.
% Current number of equations to process: 953
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [73]
% additive_inverse(multiply(X,multiply(X,Y))) add multiply(X,multiply(X,Z)) <->
% additive_inverse(multiply(multiply(X,X),Y)) add multiply(multiply(X,X),Z)
% Current number of equations to process: 975
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [74]
% additive_inverse(multiply(multiply(X,X),Y)) add multiply(multiply(X,X),Z) <->
% additive_inverse(multiply(X,multiply(X,Y))) add multiply(X,multiply(X,Z))
% Current number of equations to process: 975
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [75]
% additive_inverse(multiply(multiply(X,Y),Y)) add multiply(multiply(Z,Y),Y) <->
% additive_inverse(multiply(X,multiply(Y,Y))) add multiply(Z,multiply(Y,Y))
% Current number of equations to process: 1195
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [76]
% additive_inverse(multiply(X,multiply(Y,Y))) add multiply(Z,multiply(Y,Y)) <->
% additive_inverse(multiply(multiply(X,Y),Y)) add multiply(multiply(Z,Y),Y)
% Current number of equations to process: 1195
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [77]
% multiply(X,multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),Y)) <->
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(X,multiply(Y,Y))))
% Current number of equations to process: 1429
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [78]
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(X,multiply(Y,Y)))) <->
% multiply(X,multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),Y))
% Current number of equations to process: 1429
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [79]
% multiply(multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))),Y) <->
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Y,Y)),multiply(Y,Y))
% Current number of equations to process: 1525
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [80]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Y,Y)),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))),Y)
% Current number of equations to process: 1525
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [81]
% multiply(X,multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Y,Y))) <->
% multiply(multiply(X,X),multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))))
% Current number of equations to process: 1621
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [82]
% multiply(multiply(X,X),multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))) <->
% multiply(X,multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Y,Y)))
% Current number of equations to process: 1621
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [83]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Y,Y),multiply(Y,Y))) <->
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Y,Y)),multiply(Y,Y))
% Current number of equations to process: 1725
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [84]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Y,Y)),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Y,Y),multiply(Y,Y)))
% Current number of equations to process: 1725
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [85]
% multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),multiply(Y,Y)) <->
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,Y)))),Y)
% Current number of equations to process: 1820
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [86]
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,Y)))),Y) <->
% multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),multiply(Y,Y))
% Current number of equations to process: 1820
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [87]
% multiply(multiply(X,X),multiply(multiply(X,multiply(X,X)),multiply(X,X))) ->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(X,multiply(X,X)))
% Current number of equations to process: 1929
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [88]
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,X))),multiply(X,X)) ->
% multiply(multiply(X,multiply(X,X)),multiply(multiply(X,X),multiply(X,X)))
% Current number of equations to process: 1947
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [89]
% multiply(multiply(X,X),multiply(multiply(multiply(X,X),X),multiply(X,X))) ->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(multiply(X,X),X))
% Current number of equations to process: 1963
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [90]
% multiply(multiply(multiply(X,X),multiply(multiply(X,X),X)),multiply(X,X)) ->
% multiply(multiply(multiply(X,X),X),multiply(multiply(X,X),multiply(X,X)))
% Current number of equations to process: 1979
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [91]
% multiply(X,multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Y,Y))) <->
% multiply(multiply(X,X),multiply(multiply(X,multiply(Y,Y)),multiply(Y,Y)))
% Current number of equations to process: 1998
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [92]
% multiply(multiply(X,X),multiply(multiply(X,multiply(Y,Y)),multiply(Y,Y))) <->
% multiply(X,multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Y,Y)))
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [93]
% multiply(multiply(multiply(X,X),multiply(multiply(X,X),Y)),multiply(Y,Y)) <->
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,Y)))),Y)
% Current number of equations to process: 2090
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [94]
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,Y)))),Y) <->
% multiply(multiply(multiply(X,X),multiply(multiply(X,X),Y)),multiply(Y,Y))
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [95]
% multiply(multiply(X,X),multiply(Y,Y)) add multiply(multiply(X,X),Z) <->
% multiply(multiply(multiply(X,X),Y),Y) add multiply(X,multiply(X,Z))
% Current number of equations to process: 2180
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [96]
% multiply(multiply(multiply(X,X),Y),Y) add multiply(X,multiply(X,Z)) <->
% multiply(multiply(X,X),multiply(Y,Y)) add multiply(multiply(X,X),Z)
% Current number of equations to process: 2180
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [97]
% additive_inverse(multiply(X,multiply(X,Y))) add additive_inverse(multiply(X,
% multiply(X,Z)))
% <->
% additive_inverse(multiply(multiply(X,X),Y)) add additive_inverse(multiply(
% multiply(X,X),Z))
% Current number of equations to process: 2505
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [98]
% additive_inverse(multiply(multiply(X,X),Y)) add additive_inverse(multiply(
% multiply(X,X),Z))
% <->
% additive_inverse(multiply(X,multiply(X,Y))) add additive_inverse(multiply(X,
% multiply(X,Z)))
% Current number of equations to process: 2505
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [99]
% multiply(X,multiply(X,multiply(Y,Y))) add multiply(X,multiply(X,Z)) <->
% multiply(multiply(multiply(X,X),Y),Y) add multiply(multiply(X,X),Z)
% Current number of equations to process: 2712
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [100]
% multiply(multiply(multiply(X,X),Y),Y) add multiply(multiply(X,X),Z) <->
% multiply(X,multiply(X,multiply(Y,Y))) add multiply(X,multiply(X,Z))
% Current number of equations to process: 2712
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [101]
% multiply(X,multiply(X,multiply(Y,Y))) add multiply(Z,multiply(Y,Y)) <->
% multiply(multiply(multiply(X,X),Y),Y) add multiply(multiply(Z,Y),Y)
% Current number of equations to process: 3132
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [102]
% multiply(multiply(multiply(X,X),Y),Y) add multiply(multiply(Z,Y),Y) <->
% multiply(X,multiply(X,multiply(Y,Y))) add multiply(Z,multiply(Y,Y))
% Current number of equations to process: 3132
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [103]
% additive_inverse(multiply(multiply(X,Y),Y)) add additive_inverse(multiply(
% multiply(Z,Y),Y))
% <->
% additive_inverse(multiply(X,multiply(Y,Y))) add additive_inverse(multiply(Z,
% multiply(Y,Y)))
% Current number of equations to process: 3584
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [104]
% additive_inverse(multiply(X,multiply(Y,Y))) add additive_inverse(multiply(Z,
% multiply(Y,Y)))
% <->
% additive_inverse(multiply(multiply(X,Y),Y)) add additive_inverse(multiply(
% multiply(Z,Y),Y))
% Current number of equations to process: 3584
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [105]
% multiply(multiply(X,Y),Y) add multiply(Z,multiply(Z,multiply(Y,Y))) <->
% multiply(multiply(Z,Z),multiply(Y,Y)) add multiply(X,multiply(Y,Y))
% Current number of equations to process: 3828
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [106]
% multiply(multiply(Z,Z),multiply(Y,Y)) add multiply(X,multiply(Y,Y)) <->
% multiply(multiply(X,Y),Y) add multiply(Z,multiply(Z,multiply(Y,Y)))
% Current number of equations to process: 3828
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [107]
% multiply(X,multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),Y)) <->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(X,multiply(Y,Y)))
% Current number of equations to process: 4266
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [108]
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(X,multiply(Y,Y))) <->
% multiply(X,multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),Y))
% Current number of equations to process: 4266
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [109]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Y,Y),multiply(Y,Y))) <->
% multiply(multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))),Y)
% Current number of equations to process: 4446
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [110]
% multiply(multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))),Y) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Y,Y),multiply(Y,Y)))
% Current number of equations to process: 4446
% Current number of ordered equations: 0
% Current number of rules: 97
% Rule [108]
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(X,multiply(Y,Y)))
% <->
% multiply(X,multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),Y)) is composed into
% [108]
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(X,multiply(Y,Y))) <->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(multiply(X,Y),Y))
% Rule [78]
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(X,multiply(Y,Y))))
% <->
% multiply(X,multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),Y)) is composed into
% [78]
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(X,multiply(Y,Y)))) <->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(multiply(X,Y),Y))
% New rule produced :
% [111]
% multiply(X,multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),Y)) ->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(multiply(X,Y),Y))
% Rule
% [77]
% multiply(X,multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),Y)) <->
% multiply(multiply(X,X),multiply(multiply(X,X),multiply(X,multiply(Y,Y))))
% collapsed.
% Rule
% [107]
% multiply(X,multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),Y)) <->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(X,multiply(Y,Y)))
% collapsed.
% Current number of equations to process: 4622
% Current number of ordered equations: 0
% Current number of rules: 96
% Rule [109]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Y,Y),multiply(Y,Y)))
% <->
% multiply(multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))),Y) is composed into
% [109]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Y,Y),multiply(Y,Y))) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Y,Y),multiply(Y,Y)))
% Rule [80]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Y,Y)),multiply(Y,Y))
% <->
% multiply(multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))),Y) is composed into
% [80]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Y,Y)),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Y,Y),multiply(Y,Y)))
% New rule produced :
% [112]
% multiply(multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))),Y) ->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Y,Y),multiply(Y,Y)))
% Rule
% [79]
% multiply(multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))),Y) <->
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Y,Y)),multiply(Y,Y))
% collapsed.
% Rule
% [110]
% multiply(multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))),Y) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Y,Y),multiply(Y,Y)))
% collapsed.
% Current number of equations to process: 4654
% Current number of ordered equations: 0
% Current number of rules: 95
% Rule [92]
% multiply(multiply(X,X),multiply(multiply(X,multiply(Y,Y)),multiply(Y,Y)))
% <->
% multiply(X,multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Y,Y))) is composed into
% [92]
% multiply(multiply(X,X),multiply(multiply(X,multiply(Y,Y)),multiply(Y,Y))) <->
% multiply(multiply(X,X),multiply(multiply(multiply(X,Y),Y),multiply(Y,Y)))
% Rule [82]
% multiply(multiply(X,X),multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))))
% <->
% multiply(X,multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Y,Y))) is composed into
% [82]
% multiply(multiply(X,X),multiply(X,multiply(multiply(Y,Y),multiply(Y,Y)))) <->
% multiply(multiply(X,X),multiply(multiply(multiply(X,Y),Y),multiply(Y,Y)))
% New rule produced :
% [113]
% multiply(X,multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Y,Y))) ->
% multiply(multiply(X,X),multiply(multiply(multiply(X,Y),Y),multiply(Y,Y)))
% Rule
% [81]
% multiply(X,multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Y,Y))) <->
% multiply(multiply(X,X),multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))))
% collapsed.
% Rule
% [91]
% multiply(X,multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Y,Y))) <->
% multiply(multiply(X,X),multiply(multiply(X,multiply(Y,Y)),multiply(Y,Y)))
% collapsed.
% Current number of equations to process: 4690
% Current number of ordered equations: 0
% Current number of rules: 94
% Rule [93]
% multiply(multiply(multiply(X,X),multiply(multiply(X,X),Y)),multiply(Y,Y))
% <->
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,Y)))),Y) is composed into
% [93]
% multiply(multiply(multiply(X,X),multiply(multiply(X,X),Y)),multiply(Y,Y)) <->
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,Y))),multiply(Y,Y))
% Rule [85]
% multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),multiply(Y,Y))
% <->
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,Y)))),Y) is composed into
% [85]
% multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),multiply(Y,Y)) <->
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,Y))),multiply(Y,Y))
% New rule produced :
% [114]
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,Y)))),Y) ->
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,Y))),multiply(Y,Y))
% Rule
% [86]
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,Y)))),Y) <->
% multiply(multiply(multiply(multiply(X,X),multiply(X,X)),Y),multiply(Y,Y))
% collapsed.
% Rule
% [94]
% multiply(multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,Y)))),Y) <->
% multiply(multiply(multiply(X,X),multiply(multiply(X,X),Y)),multiply(Y,Y))
% collapsed.
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [115]
% multiply(multiply(X,X),Y) add multiply(X,multiply(X,multiply(Z,Z))) <->
% multiply(multiply(multiply(X,X),Z),Z) add multiply(X,multiply(X,Y))
% Current number of equations to process: 4755
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [116]
% multiply(multiply(multiply(X,X),Z),Z) add multiply(X,multiply(X,Y)) <->
% multiply(multiply(X,X),Y) add multiply(X,multiply(X,multiply(Z,Z)))
% Current number of equations to process: 4755
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [117]
% multiply(multiply(X,X),multiply(Y,Y)) add multiply(X,multiply(X,Z)) <->
% multiply(multiply(multiply(X,X),Y),Y) add multiply(multiply(X,X),Z)
% Current number of equations to process: 3085
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [118]
% multiply(multiply(multiply(X,X),Y),Y) add multiply(multiply(X,X),Z) <->
% multiply(multiply(X,X),multiply(Y,Y)) add multiply(X,multiply(X,Z))
% Current number of equations to process: 3085
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [119]
% multiply(multiply(X,X),multiply(Y,Y)) add multiply(multiply(Z,Y),Y) <->
% multiply(X,multiply(X,multiply(Y,Y))) add multiply(Z,multiply(Y,Y))
% Current number of equations to process: 3582
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [120]
% multiply(X,multiply(X,multiply(Y,Y))) add multiply(Z,multiply(Y,Y)) <->
% multiply(multiply(X,X),multiply(Y,Y)) add multiply(multiply(Z,Y),Y)
% Current number of equations to process: 3582
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [121]
% multiply(multiply(multiply(X,X),Y),Y) add multiply(Z,multiply(Y,Y)) <->
% multiply(multiply(Z,Y),Y) add multiply(X,multiply(X,multiply(Y,Y)))
% Current number of equations to process: 4136
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [122]
% multiply(multiply(Z,Y),Y) add multiply(X,multiply(X,multiply(Y,Y))) <->
% multiply(multiply(multiply(X,X),Y),Y) add multiply(Z,multiply(Y,Y))
% Current number of equations to process: 4136
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [123]
% multiply(multiply(X,X),Z) add multiply(X,multiply(X,multiply(Y,Y))) <->
% multiply(multiply(X,X),multiply(Y,Y)) add multiply(X,multiply(X,Z))
% Current number of equations to process: 4756
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [124]
% multiply(multiply(X,X),multiply(Y,Y)) add multiply(X,multiply(X,Z)) <->
% multiply(multiply(X,X),Z) add multiply(X,multiply(X,multiply(Y,Y)))
% Current number of equations to process: 4756
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [125]
% multiply(multiply(X,X),multiply(Y,Y)) add multiply(multiply(Z,Y),Y) <->
% multiply(multiply(multiply(X,X),Y),Y) add multiply(Z,multiply(Y,Y))
% Current number of equations to process: 2488
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [126]
% multiply(multiply(multiply(X,X),Y),Y) add multiply(Z,multiply(Y,Y)) <->
% multiply(multiply(X,X),multiply(Y,Y)) add multiply(multiply(Z,Y),Y)
% Current number of equations to process: 2488
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [127]
% multiply(X,multiply(X,Y)) <->
% additive_inverse(multiply(X,multiply(X,Z))) add multiply(multiply(X,X),Y) add
% multiply(multiply(X,X),Z)
% Current number of equations to process: 3105
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [128]
% additive_inverse(multiply(X,multiply(X,Z))) add multiply(multiply(X,X),Y) add
% multiply(multiply(X,X),Z) <-> multiply(X,multiply(X,Y))
% Current number of equations to process: 3105
% Current number of ordered equations: 0
% Current number of rules: 107
% Rule [127]
% multiply(X,multiply(X,Y)) <->
% additive_inverse(multiply(X,multiply(X,Z))) add multiply(multiply(X,X),Y) add
% multiply(multiply(X,X),Z) is composed into [127]
% multiply(X,multiply(X,Y)) <->
% additive_identity add
% multiply(multiply(X,X),Y)
% New rule produced :
% [129]
% additive_inverse(multiply(X,multiply(X,Y))) add multiply(multiply(X,X),Y) ->
% additive_identity
% Rule
% [128]
% additive_inverse(multiply(X,multiply(X,Z))) add multiply(multiply(X,X),Y) add
% multiply(multiply(X,X),Z) <-> multiply(X,multiply(X,Y)) collapsed.
% Current number of equations to process: 3127
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [130]
% additive_inverse(multiply(multiply(X,X),Y)) add multiply(X,multiply(X,Y)) ->
% additive_identity
% Current number of equations to process: 3238
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [131]
% additive_inverse(multiply(X,multiply(X,multiply(Y,Y)))) add multiply(
% multiply(
% multiply(X,X),Y),Y)
% -> additive_identity
% Current number of equations to process: 3352
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [132]
% additive_inverse(multiply(X,multiply(Y,multiply(Y,Z)))) add multiply(X,
% multiply(
% multiply(Y,Y),Z))
% -> additive_identity
% Current number of equations to process: 3351
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [133]
% additive_inverse(multiply(multiply(X,multiply(X,Y)),Z)) add multiply(
% multiply(
% multiply(X,X),Y),Z)
% -> additive_identity
% Current number of equations to process: 3350
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [134]
% additive_inverse(multiply(multiply(multiply(X,X),Y),Y)) add multiply(
% multiply(X,X),
% multiply(Y,Y)) ->
% additive_identity
% Current number of equations to process: 3349
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [135]
% additive_inverse(multiply(multiply(multiply(X,X),Y),Y)) add multiply(X,
% multiply(X,
% multiply(Y,Y)))
% -> additive_identity
% Current number of equations to process: 3348
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [136]
% additive_inverse(multiply(X,multiply(multiply(Y,Y),Z))) add multiply(X,
% multiply(Y,
% multiply(Y,Z)))
% -> additive_identity
% Current number of equations to process: 3347
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [137]
% additive_inverse(multiply(multiply(multiply(X,X),Y),Z)) add multiply(
% multiply(X,
% multiply(X,Y)),Z)
% -> additive_identity
% Current number of equations to process: 3346
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [138]
% additive_inverse(multiply(multiply(X,X),multiply(Y,Y))) add multiply(
% multiply(
% multiply(X,X),Y),Y)
% -> additive_identity
% Current number of equations to process: 3345
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [139]
% multiply(X,multiply(X,multiply(Y,multiply(Y,Z)))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),Z))
% Current number of equations to process: 3626
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [140]
% multiply(multiply(X,X),multiply(multiply(Y,Y),Z)) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,Z))))
% Current number of equations to process: 3626
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [141]
% additive_inverse(multiply(multiply(X,X),multiply(Y,multiply(Y,Z)))) <->
% additive_inverse(multiply(X,multiply(X,multiply(multiply(Y,Y),Z))))
% Current number of equations to process: 3625
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [142]
% additive_inverse(multiply(X,multiply(X,multiply(multiply(Y,Y),Z)))) <->
% additive_inverse(multiply(multiply(X,X),multiply(Y,multiply(Y,Z))))
% Current number of equations to process: 3625
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [143]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Z,Z),U)) <->
% multiply(multiply(multiply(X,X),Y),multiply(Z,multiply(Z,U)))
% Current number of equations to process: 3827
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [144]
% multiply(multiply(multiply(X,X),Y),multiply(Z,multiply(Z,U))) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Z,Z),U))
% Current number of equations to process: 3827
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [145]
% multiply(X,multiply(X,multiply(multiply(Y,Y),Z))) <->
% multiply(multiply(X,X),multiply(Y,multiply(Y,Z)))
% Rule
% [142]
% additive_inverse(multiply(X,multiply(X,multiply(multiply(Y,Y),Z)))) <->
% additive_inverse(multiply(multiply(X,X),multiply(Y,multiply(Y,Z))))
% collapsed.
% Current number of equations to process: 4132
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [146]
% multiply(multiply(X,X),multiply(Y,multiply(Y,Z))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),Z)))
% Rule
% [141]
% additive_inverse(multiply(multiply(X,X),multiply(Y,multiply(Y,Z)))) <->
% additive_inverse(multiply(X,multiply(X,multiply(multiply(Y,Y),Z))))
% collapsed.
% Current number of equations to process: 4132
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [147]
% multiply(multiply(X,multiply(X,Y)),multiply(Z,multiply(Z,U))) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Z,Z),U))
% Current number of equations to process: 4140
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [148]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Z,Z),U)) <->
% multiply(multiply(X,multiply(X,Y)),multiply(Z,multiply(Z,U)))
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [149]
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),Z),Z))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Z,Z)))
% Current number of equations to process: 4568
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [150]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Z,Z))) <->
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),Z),Z)))
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [151]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Z,Z))))) <->
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),Z),Z))
% Current number of equations to process: 4840
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [152]
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),Z),Z)) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Z,Z)))))
% Current number of equations to process: 4840
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [153]
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),Z),Z))) <->
% multiply(multiply(X,X),multiply(Y,multiply(Y,multiply(Z,Z))))
% Current number of equations to process: 2797
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [154]
% multiply(multiply(X,X),multiply(Y,multiply(Y,multiply(Z,Z)))) <->
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),Z),Z)))
% Current number of equations to process: 2797
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [155]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Z,Z)))) <->
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),Z),Z))
% Current number of equations to process: 2994
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [156]
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),Z),Z)) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Z,Z))))
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [157]
% associator(multiply(multiply(X,X),Y),Z,U) add additive_inverse(associator(
% multiply(X,
% multiply(X,Y)),Z,U))
% -> additive_identity
% Current number of equations to process: 3147
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [158]
% associator(X,Y,multiply(multiply(Z,Z),U)) add additive_inverse(associator(X,Y,
% multiply(Z,
% multiply(Z,U))))
% -> additive_identity
% Current number of equations to process: 3146
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [159]
% associator(X,multiply(multiply(Y,Y),Z),U) add additive_inverse(associator(X,
% multiply(Y,
% multiply(Y,Z)),U))
% -> additive_identity
% Current number of equations to process: 3145
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [160]
% associator(multiply(X,multiply(X,Y)),Z,U) add additive_inverse(associator(
% multiply(
% multiply(X,X),Y),Z,U))
% -> additive_identity
% Current number of equations to process: 3142
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [161]
% associator(X,Y,multiply(Z,multiply(Z,U))) add additive_inverse(associator(X,Y,
% multiply(
% multiply(Z,Z),U)))
% -> additive_identity
% Current number of equations to process: 3141
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [162]
% associator(X,multiply(Y,multiply(Y,Z)),U) add additive_inverse(associator(X,
% multiply(
% multiply(Y,Y),Z),U))
% -> additive_identity
% Current number of equations to process: 3140
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [163]
% associator(multiply(X,multiply(X,Y)),Z,multiply(multiply(U,U),V)) <->
% associator(multiply(multiply(X,X),Y),Z,multiply(U,multiply(U,V)))
% Current number of equations to process: 3373
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [164]
% associator(multiply(multiply(X,X),Y),Z,multiply(U,multiply(U,V))) <->
% associator(multiply(X,multiply(X,Y)),Z,multiply(multiply(U,U),V))
% Current number of equations to process: 3373
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [165]
% associator(multiply(X,multiply(X,Y)),multiply(multiply(Z,Z),U),V) <->
% associator(multiply(multiply(X,X),Y),multiply(Z,multiply(Z,U)),V)
% Current number of equations to process: 3492
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [166]
% associator(multiply(multiply(X,X),Y),multiply(Z,multiply(Z,U)),V) <->
% associator(multiply(X,multiply(X,Y)),multiply(multiply(Z,Z),U),V)
% Current number of equations to process: 3492
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [167]
% associator(X,multiply(multiply(Y,Y),Z),multiply(U,multiply(U,V))) <->
% associator(X,multiply(Y,multiply(Y,Z)),multiply(multiply(U,U),V))
% Current number of equations to process: 3495
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [168]
% associator(X,multiply(Y,multiply(Y,Z)),multiply(multiply(U,U),V)) <->
% associator(X,multiply(multiply(Y,Y),Z),multiply(U,multiply(U,V)))
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [169]
% associator(multiply(X,multiply(X,Y)),Z,multiply(U,multiply(U,V))) <->
% associator(multiply(multiply(X,X),Y),Z,multiply(multiply(U,U),V))
% Current number of equations to process: 3614
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [170]
% associator(multiply(multiply(X,X),Y),Z,multiply(multiply(U,U),V)) <->
% associator(multiply(X,multiply(X,Y)),Z,multiply(U,multiply(U,V)))
% Current number of equations to process: 3614
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [171]
% associator(multiply(multiply(X,X),Y),multiply(multiply(Z,Z),U),V) <->
% associator(multiply(X,multiply(X,Y)),multiply(Z,multiply(Z,U)),V)
% Current number of equations to process: 3617
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [172]
% associator(multiply(X,multiply(X,Y)),multiply(Z,multiply(Z,U)),V) <->
% associator(multiply(multiply(X,X),Y),multiply(multiply(Z,Z),U),V)
% Current number of equations to process: 3617
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [173]
% associator(X,multiply(multiply(Y,Y),Z),multiply(multiply(U,U),V)) <->
% associator(X,multiply(Y,multiply(Y,Z)),multiply(U,multiply(U,V)))
% Current number of equations to process: 3735
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [174]
% associator(X,multiply(Y,multiply(Y,Z)),multiply(U,multiply(U,V))) <->
% associator(X,multiply(multiply(Y,Y),Z),multiply(multiply(U,U),V))
% Current number of equations to process: 3735
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [175]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(X,multiply(X,Y)),Z)) <->
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,Y))),Z)
% Current number of equations to process: 1948
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [176]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,Y))),Z) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(X,multiply(X,Y)),Z))
% Current number of equations to process: 1948
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [177]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(X,X),Y),Z)) <->
% multiply(multiply(multiply(multiply(X,X),Y),multiply(multiply(X,X),Y)),Z)
% Current number of equations to process: 1946
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [178]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(multiply(X,X),Y)),Z) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(X,X),Y),Z))
% Current number of equations to process: 1946
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [179]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(multiply(Z,Z),U)))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Z,multiply(Z,U))))
% Current number of equations to process: 1945
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [180]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Z,multiply(Z,U)))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(multiply(Z,Z),U))))
% Current number of equations to process: 1945
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [181]
% multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Y,multiply(Z,Z))))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Z),multiply(multiply(Y,Z),Z)))
% Current number of equations to process: 1944
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [182]
% multiply(multiply(X,X),multiply(multiply(Y,Z),multiply(multiply(Y,Z),Z))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Y,multiply(Z,Z)))))
% Current number of equations to process: 1944
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [183]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Y,Z))))) <->
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),Z))
% Current number of equations to process: 1942
% Current number of ordered equations: 3
% Current number of rules: 159
% New rule produced :
% [184]
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),Z)) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Y,Z)))))
% Current number of equations to process: 1942
% Current number of ordered equations: 2
% Current number of rules: 160
% New rule produced :
% [185]
% multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,multiply(Y,Z))))) <->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(multiply(Y,Y),Z))
% Current number of equations to process: 1942
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [186]
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(multiply(Y,Y),Z)) <->
% multiply(multiply(X,X),multiply(X,multiply(X,multiply(Y,multiply(Y,Z)))))
% Current number of equations to process: 1942
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [187]
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y)))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 1941
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [188]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Y,multiply(Y,Y)))) <->
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y))))
% Current number of equations to process: 1941
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [189]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(multiply(Z,Z),U))))) <->
% multiply(multiply(X,X),multiply(Y,multiply(Y,multiply(Z,multiply(Z,U)))))
% Current number of equations to process: 1940
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [190]
% multiply(multiply(X,X),multiply(Y,multiply(Y,multiply(Z,multiply(Z,U))))) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(multiply(Z,Z),U)))))
% Current number of equations to process: 1940
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [191]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Z,Z))))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Y,Z),Z)))
% Current number of equations to process: 1932
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [192]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Y,Z),Z))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Z,Z)))))
% Current number of equations to process: 1932
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [193]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Y,Y))))) <->
% multiply(multiply(X,X),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y)))
% Current number of equations to process: 1931
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [194]
% multiply(multiply(X,X),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Y,Y)))))
% Current number of equations to process: 1931
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [195]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Y,Y))))) <->
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y)))
% Current number of equations to process: 1930
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [196]
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Y,Y)))))
% Current number of equations to process: 1930
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [197]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(Z,Z)),multiply(Z,Z)) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Z,Z),multiply(Z,Z)))
% Current number of equations to process: 1926
% Current number of ordered equations: 3
% Current number of rules: 173
% New rule produced :
% [198]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(Z,Z),U),U)) <->
% multiply(multiply(multiply(X,X),Y),multiply(Z,multiply(Z,multiply(U,U))))
% Current number of equations to process: 1926
% Current number of ordered equations: 2
% Current number of rules: 174
% New rule produced :
% [199]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Z,Z),multiply(Z,Z))) <->
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(Z,Z)),multiply(Z,Z))
% Current number of equations to process: 1926
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [200]
% multiply(multiply(multiply(X,X),Y),multiply(Z,multiply(Z,multiply(U,U)))) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(Z,Z),U),U))
% Current number of equations to process: 1926
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [201]
% multiply(multiply(multiply(X,X),multiply(Y,Y)),multiply(Z,multiply(Z,U))) <->
% multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(multiply(Z,Z),U))
% Current number of equations to process: 1925
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [202]
% multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(multiply(Z,Z),U)) <->
% multiply(multiply(multiply(X,X),multiply(Y,Y)),multiply(Z,multiply(Z,U)))
% Current number of equations to process: 1925
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [203]
% multiply(multiply(multiply(multiply(X,multiply(X,Y)),Z),Z),multiply(Z,Z)) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Z,Z),multiply(Z,Z)))
% Current number of equations to process: 1924
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [204]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Z,Z),multiply(Z,Z))) <->
% multiply(multiply(multiply(multiply(X,multiply(X,Y)),Z),Z),multiply(Z,Z))
% Current number of equations to process: 1924
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [205]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(multiply(Z,Z),U)) <->
% multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Z,multiply(Z,U)))
% Current number of equations to process: 1922
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [206]
% multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Z,multiply(Z,U))) <->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(multiply(Z,Z),U))
% Current number of equations to process: 1922
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [207]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Z,Z),multiply(U,U))) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(multiply(Z,Z),U),U))
% Current number of equations to process: 1921
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [208]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(multiply(Z,Z),U),U)) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Z,Z),multiply(U,U)))
% Current number of equations to process: 1921
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [209]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Y,Z))))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Y,Y),Z)))
% Current number of equations to process: 1919
% Current number of ordered equations: 3
% Current number of rules: 185
% New rule produced :
% [210]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Y,Y),Z))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Y,Z)))))
% Current number of equations to process: 1919
% Current number of ordered equations: 2
% Current number of rules: 186
% New rule produced :
% [211]
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),multiply(Y,Y)),Z))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Y,multiply(Y,Z))))
% Current number of equations to process: 1918
% Current number of ordered equations: 2
% Current number of rules: 187
% New rule produced :
% [212]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Y,multiply(Y,Z)))) <->
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),multiply(Y,Y)),Z)))
% Current number of equations to process: 1918
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [213]
% multiply(multiply(X,X),multiply(X,multiply(X,multiply(multiply(Y,Y),Z)))) <->
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(Y,multiply(Y,Z)))
% Current number of equations to process: 1917
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [214]
% multiply(multiply(multiply(X,X),multiply(X,X)),multiply(Y,multiply(Y,Z))) <->
% multiply(multiply(X,X),multiply(X,multiply(X,multiply(multiply(Y,Y),Z))))
% Current number of equations to process: 1917
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [215]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(multiply(Y,Z),Z)))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Y,multiply(Z,Z))))
% Current number of equations to process: 1915
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [216]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Y,multiply(Z,Z)))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(multiply(Y,Z),Z))))
% Current number of equations to process: 1915
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [217]
% multiply(X,multiply(X,multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y)))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 1914
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [218]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Y,multiply(Y,Y)))) <->
% multiply(X,multiply(X,multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y))))
% Current number of equations to process: 1914
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [219]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Z,multiply(Z,U))))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Z,Z),U)))
% Rule
% [209]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Y,Z))))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Y,Y),Z)))
% collapsed.
% Current number of equations to process: 1912
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [220]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Z,Z),U))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Z,multiply(Z,U)))))
% Rule
% [210]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Y,Y),Z))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(Y,multiply(Y,Z)))))
% collapsed.
% Current number of equations to process: 1912
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [221]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,U)))))) <->
% multiply(multiply(X,X),multiply(Y,multiply(Y,multiply(multiply(Z,Z),U))))
% Current number of equations to process: 1911
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [222]
% multiply(multiply(X,X),multiply(Y,multiply(Y,multiply(multiply(Z,Z),U)))) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,U))))))
% Current number of equations to process: 1911
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [223]
% multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(multiply(Y,Z),Z)))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Z),multiply(Y,multiply(Z,Z))))
% Current number of equations to process: 1907
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [224]
% multiply(multiply(X,X),multiply(multiply(Y,Z),multiply(Y,multiply(Z,Z)))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(multiply(Y,Z),Z))))
% Current number of equations to process: 1907
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [225]
% multiply(X,multiply(multiply(multiply(Y,Y),Z),multiply(multiply(Y,Y),Z))) <->
% multiply(multiply(X,multiply(Y,multiply(Y,Z))),multiply(Y,multiply(Y,Z)))
% Current number of equations to process: 1901
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [226]
% multiply(multiply(X,multiply(Y,multiply(Y,Z))),multiply(Y,multiply(Y,Z))) <->
% multiply(X,multiply(multiply(multiply(Y,Y),Z),multiply(multiply(Y,Y),Z)))
% Current number of equations to process: 1901
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [227]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(X,multiply(X,Y)),Z)) <->
% multiply(multiply(multiply(multiply(X,X),Y),multiply(multiply(X,X),Y)),Z)
% Current number of equations to process: 1900
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [228]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(multiply(X,X),Y)),Z) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(X,multiply(X,Y)),Z))
% Current number of equations to process: 1900
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [229]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(Z,Z),U),U)) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Z,Z),multiply(U,U)))
% Current number of equations to process: 1898
% Current number of ordered equations: 3
% Current number of rules: 203
% New rule produced :
% [230]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(Z,Z),multiply(U,U))) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(Z,Z),U),U))
% Current number of equations to process: 1898
% Current number of ordered equations: 2
% Current number of rules: 204
% New rule produced :
% [231]
% multiply(multiply(multiply(X,X),multiply(Y,Y)),multiply(multiply(Z,Z),U)) <->
% multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Z,multiply(Z,U)))
% Current number of equations to process: 1898
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [232]
% multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(Z,multiply(Z,U))) <->
% multiply(multiply(multiply(X,X),multiply(Y,Y)),multiply(multiply(Z,Z),U))
% Current number of equations to process: 1898
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [233]
% multiply(X,multiply(multiply(Y,multiply(Y,Z)),multiply(Y,multiply(Y,Z)))) <->
% multiply(multiply(X,multiply(multiply(Y,Y),Z)),multiply(multiply(Y,Y),Z))
% Current number of equations to process: 1893
% Current number of ordered equations: 7
% Current number of rules: 207
% New rule produced :
% [234]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Z,Z),multiply(Z,Z))) <->
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Z,Z)),multiply(Z,Z))
% Rule
% [83]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Y,Y),multiply(Y,Y))) <->
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Y,Y)),multiply(Y,Y))
% collapsed.
% Current number of equations to process: 1893
% Current number of ordered equations: 6
% Current number of rules: 207
% New rule produced :
% [235]
% multiply(multiply(X,multiply(X,Y)),multiply(Z,multiply(Z,multiply(U,U)))) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(multiply(Z,Z),U),U))
% Current number of equations to process: 1893
% Current number of ordered equations: 5
% Current number of rules: 208
% New rule produced :
% [236]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(multiply(Z,Z),U),U)) <->
% multiply(multiply(X,multiply(X,Y)),multiply(Z,multiply(Z,multiply(U,U))))
% Current number of equations to process: 1893
% Current number of ordered equations: 4
% Current number of rules: 209
% New rule produced :
% [237]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(Z,multiply(Z,U))) <->
% multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(multiply(Z,Z),U))
% Current number of equations to process: 1893
% Current number of ordered equations: 3
% Current number of rules: 210
% New rule produced :
% [238]
% multiply(multiply(multiply(multiply(X,X),Y),Y),multiply(multiply(Z,Z),U)) <->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(Z,multiply(Z,U)))
% Current number of equations to process: 1893
% Current number of ordered equations: 2
% Current number of rules: 211
% New rule produced :
% [239]
% multiply(multiply(X,multiply(multiply(Y,Y),Z)),multiply(multiply(Y,Y),Z)) <->
% multiply(X,multiply(multiply(Y,multiply(Y,Z)),multiply(Y,multiply(Y,Z))))
% Current number of equations to process: 1893
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [240]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Z,Z)),multiply(Z,Z)) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Z,Z),multiply(Z,Z)))
% Rule
% [80]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Y,Y)),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Y,Y),multiply(Y,Y)))
% collapsed.
% Rule
% [84]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(Y,Y)),multiply(Y,Y)) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Y,Y),multiply(Y,Y)))
% collapsed.
% Current number of equations to process: 1893
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [241]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(multiply(X,X),Y),Z)) <->
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,Y))),Z)
% Current number of equations to process: 1892
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [242]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,Y))),Z) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(multiply(X,X),Y),Z))
% Current number of equations to process: 1892
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [243]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Z,Z),multiply(Z,Z))) <->
% multiply(multiply(multiply(multiply(multiply(X,X),Y),Z),Z),multiply(Z,Z))
% Current number of equations to process: 1891
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [244]
% multiply(multiply(multiply(multiply(multiply(X,X),Y),Z),Z),multiply(Z,Z)) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(Z,Z),multiply(Z,Z)))
% Current number of equations to process: 1891
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [245]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(X,multiply(X,Y)),Z)) <->
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(multiply(X,X),Y)),Z)
% Current number of equations to process: 2531
% Current number of ordered equations: 3
% Current number of rules: 216
% New rule produced :
% [246]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(X,multiply(X,Y)),Z)) <->
% multiply(multiply(multiply(multiply(X,X),Y),multiply(X,multiply(X,Y))),Z)
% Current number of equations to process: 2531
% Current number of ordered equations: 2
% Current number of rules: 217
% New rule produced :
% [247]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(multiply(X,X),Y)),Z) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(X,multiply(X,Y)),Z))
% Current number of equations to process: 2531
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [248]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(X,multiply(X,Y))),Z) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(X,multiply(X,Y)),Z))
% Current number of equations to process: 2531
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [249]
% multiply(multiply(multiply(X,X),Y),multiply(multiply(X,multiply(X,Y)),Z)) <->
% multiply(multiply(multiply(multiply(X,X),Y),multiply(multiply(X,X),Y)),Z)
% Current number of equations to process: 2528
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [250]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(multiply(X,X),Y)),Z) <->
% multiply(multiply(multiply(X,X),Y),multiply(multiply(X,multiply(X,Y)),Z))
% Current number of equations to process: 2528
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [251]
% multiply(multiply(X,multiply(X,X)),multiply(multiply(multiply(X,X),X),Y)) <->
% multiply(multiply(multiply(multiply(X,X),X),multiply(X,multiply(X,X))),Y)
% Current number of equations to process: 3170
% Current number of ordered equations: 3
% Current number of rules: 222
% New rule produced :
% [252]
% multiply(multiply(X,multiply(X,X)),multiply(multiply(multiply(X,X),X),Y)) <->
% multiply(multiply(multiply(X,multiply(X,X)),multiply(multiply(X,X),X)),Y)
% Current number of equations to process: 3170
% Current number of ordered equations: 2
% Current number of rules: 223
% New rule produced :
% [253]
% multiply(multiply(multiply(multiply(X,X),X),multiply(X,multiply(X,X))),Y) <->
% multiply(multiply(X,multiply(X,X)),multiply(multiply(multiply(X,X),X),Y))
% Current number of equations to process: 3170
% Current number of ordered equations: 1
% Current number of rules: 224
% New rule produced :
% [254]
% multiply(multiply(multiply(X,multiply(X,X)),multiply(multiply(X,X),X)),Y) <->
% multiply(multiply(X,multiply(X,X)),multiply(multiply(multiply(X,X),X),Y))
% Current number of equations to process: 3170
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [255]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(X,X),Y),Z)) <->
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(multiply(X,X),Y)),Z)
% Rule
% [252]
% multiply(multiply(X,multiply(X,X)),multiply(multiply(multiply(X,X),X),Y)) <->
% multiply(multiply(multiply(X,multiply(X,X)),multiply(multiply(X,X),X)),Y)
% collapsed.
% Current number of equations to process: 3168
% Current number of ordered equations: 3
% Current number of rules: 225
% New rule produced :
% [256]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(X,X),Y),Z)) <->
% multiply(multiply(multiply(multiply(X,X),Y),multiply(X,multiply(X,Y))),Z)
% Rule
% [251]
% multiply(multiply(X,multiply(X,X)),multiply(multiply(multiply(X,X),X),Y)) <->
% multiply(multiply(multiply(multiply(X,X),X),multiply(X,multiply(X,X))),Y)
% collapsed.
% Current number of equations to process: 3168
% Current number of ordered equations: 2
% Current number of rules: 225
% New rule produced :
% [257]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(multiply(X,X),Y)),Z) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(X,X),Y),Z))
% Rule
% [254]
% multiply(multiply(multiply(X,multiply(X,X)),multiply(multiply(X,X),X)),Y) <->
% multiply(multiply(X,multiply(X,X)),multiply(multiply(multiply(X,X),X),Y))
% collapsed.
% Current number of equations to process: 3168
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [258]
% multiply(multiply(multiply(multiply(X,X),Y),multiply(X,multiply(X,Y))),Z) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(X,X),Y),Z))
% Rule
% [253]
% multiply(multiply(multiply(multiply(X,X),X),multiply(X,multiply(X,X))),Y) <->
% multiply(multiply(X,multiply(X,X)),multiply(multiply(multiply(X,X),X),Y))
% collapsed.
% Current number of equations to process: 3168
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [259]
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(X,X),Y),Z)) <->
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,Y))),Z)
% Current number of equations to process: 3167
% Current number of ordered equations: 1
% Current number of rules: 226
% New rule produced :
% [260]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,Y))),Z) <->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(multiply(X,X),Y),Z))
% Current number of equations to process: 3167
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [261]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(multiply(Z,Z),U))))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Z,multiply(Z,U))))
% Current number of equations to process: 3459
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced :
% [262]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(Z,multiply(Z,U)))) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(multiply(Z,Z),U)))))
% Current number of equations to process: 3459
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [263]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(multiply(Z,Z),U)))) <->
% multiply(multiply(X,X),multiply(Y,multiply(Y,multiply(Z,multiply(Z,U)))))
% Current number of equations to process: 3833
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [264]
% multiply(multiply(X,X),multiply(Y,multiply(Y,multiply(Z,multiply(Z,U))))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(multiply(Z,Z),U))))
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [265]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(multiply(Y,Y),Y)))) <->
% multiply(multiply(X,X),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y)))
% Current number of equations to process: 3832
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [266]
% multiply(multiply(X,X),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(multiply(Y,Y),Y))))
% Current number of equations to process: 3832
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [267]
% multiply(X,multiply(X,multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y)))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Y,Y),Y)))
% Current number of equations to process: 4139
% Current number of ordered equations: 1
% Current number of rules: 234
% New rule produced :
% [268]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Y,Y),Y))) <->
% multiply(X,multiply(X,multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y))))
% Current number of equations to process: 4139
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [269]
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y)))) <->
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Y,Y),Y)))
% Current number of equations to process: 3647
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [270]
% multiply(multiply(X,X),multiply(multiply(Y,Y),multiply(multiply(Y,Y),Y))) <->
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y))))
% Current number of equations to process: 3647
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [271]
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y)))) <->
% multiply(multiply(X,X),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y)))
% Current number of equations to process: 3646
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [272]
% multiply(multiply(X,X),multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y))) <->
% multiply(X,multiply(X,multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y))))
% Current number of equations to process: 3646
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [273]
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(multiply(Y,Y),Y)))) <->
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y)))
% Current number of equations to process: 2456
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced :
% [274]
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y))) <->
% multiply(X,multiply(X,multiply(multiply(Y,Y),multiply(multiply(Y,Y),Y))))
% Current number of equations to process: 2456
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [275]
% multiply(X,multiply(X,multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y)))) <->
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y)))
% Current number of equations to process: 2455
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [276]
% multiply(multiply(X,X),multiply(multiply(multiply(Y,Y),Y),multiply(Y,Y))) <->
% multiply(X,multiply(X,multiply(multiply(Y,multiply(Y,Y)),multiply(Y,Y))))
% Current number of equations to process: 2455
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [277]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(Z,Z)),multiply(Z,Z)) <->
% multiply(multiply(multiply(multiply(multiply(X,X),Y),Z),Z),multiply(Z,Z))
% Current number of equations to process: 3637
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [278]
% multiply(multiply(multiply(multiply(multiply(X,X),Y),Z),Z),multiply(Z,Z)) <->
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(Z,Z)),multiply(Z,Z))
% Current number of equations to process: 3637
% Current number of ordered equatiCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------