TSTP Solution File: RNG028-9 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : RNG028-9 : TPTP v6.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n123.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 00:31:47 EDT 2014
% Result : Timeout 300.10s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : RNG028-9 : TPTP v6.0.0. Released v1.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n123.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 18:42:03 CDT 2014
% % CPUTime : 300.10
% Processing problem /tmp/CiME_22586_n123.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " add : AC; z,y,x,additive_identity : constant; commutator : 2; associator : 3; additive_inverse : 1; multiply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% additive_identity add X = X;
% X add additive_identity = X;
% multiply(additive_identity,X) = additive_identity;
% multiply(X,additive_identity) = additive_identity;
% additive_inverse(X) add X = additive_identity;
% X add additive_inverse(X) = additive_identity;
% additive_inverse(additive_inverse(X)) = X;
% multiply(X,Y add Z) = multiply(X,Y) add multiply(X,Z);
% multiply(X add Y,Z) = multiply(X,Z) add multiply(Y,Z);
% multiply(multiply(X,Y),Y) = multiply(X,multiply(Y,Y));
% multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y));
% associator(X,Y,Z) = multiply(multiply(X,Y),Z) add additive_inverse(multiply(X,multiply(Y,Z)));
% commutator(X,Y) = multiply(Y,X) add additive_inverse(multiply(X,Y));
% multiply(additive_inverse(X),additive_inverse(Y)) = multiply(X,Y);
% multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y));
% multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y));
% multiply(X,Y add additive_inverse(Z)) = multiply(X,Y) add additive_inverse(multiply(X,Z));
% multiply(X add additive_inverse(Y),Z) = multiply(X,Z) add additive_inverse(multiply(Y,Z));
% multiply(additive_inverse(X),Y add Z) = additive_inverse(multiply(X,Y)) add additive_inverse(multiply(X,Z));
% multiply(X add Y,additive_inverse(Z)) = additive_inverse(multiply(X,Z)) add additive_inverse(multiply(Y,Z));
% ";
%
% let s1 = status F "
% z lr_lex;
% y lr_lex;
% x lr_lex;
% commutator lr_lex;
% associator lr_lex;
% additive_inverse lr_lex;
% additive_identity lr_lex;
% multiply mul;
% add mul;
% ";
%
% let p1 = precedence F "
% associator > commutator > multiply > additive_inverse > add > additive_identity > x > y > z";
%
% let s2 = status F "
% z mul;
% y mul;
% x mul;
% commutator mul;
% associator mul;
% additive_inverse mul;
% multiply mul;
% add mul;
% additive_identity mul;
% ";
%
% let p2 = precedence F "
% associator > commutator > multiply > additive_inverse > add > additive_identity = x = y = z";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " associator(x,multiply(y,x),z) = multiply(x,associator(x,y,z));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { additive_identity add X = X,
% additive_identity add X = X,
% multiply(additive_identity,X) =
% additive_identity,
% multiply(X,additive_identity) =
% additive_identity,
% additive_inverse(X) add X = additive_identity,
% additive_inverse(X) add X = additive_identity,
% additive_inverse(additive_inverse(X)) = X,
% multiply(X,Y add Z) =
% multiply(X,Y) add multiply(X,Z),
% multiply(X add Y,Z) =
% multiply(X,Z) add multiply(Y,Z),
% multiply(multiply(X,Y),Y) =
% multiply(X,multiply(Y,Y)),
% multiply(multiply(X,X),Y) =
% multiply(X,multiply(X,Y)),
% associator(X,Y,Z) =
% additive_inverse(multiply(X,multiply(Y,Z))) add
% multiply(multiply(X,Y),Z),
% commutator(X,Y) =
% additive_inverse(multiply(X,Y)) add multiply(Y,X),
% multiply(additive_inverse(X),additive_inverse(Y))
% = multiply(X,Y),
% multiply(additive_inverse(X),Y) =
% additive_inverse(multiply(X,Y)),
% multiply(X,additive_inverse(Y)) =
% additive_inverse(multiply(X,Y)),
% multiply(X,additive_inverse(Z) add Y) =
% additive_inverse(multiply(X,Z)) add multiply(X,Y),
% multiply(additive_inverse(Y) add X,Z) =
% additive_inverse(multiply(Y,Z)) add multiply(X,Z),
% multiply(additive_inverse(X),Y add Z) =
% additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(X,Z)),
% multiply(X add Y,additive_inverse(Z)) =
% additive_inverse(multiply(X,Z)) add additive_inverse(
% multiply(Y,Z)) }
% (20 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { associator(x,multiply(y,x),z) =
% multiply(x,associator(x,y,z)) }
% (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: 17
% 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: 16
% 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: 15
% 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: 14
% 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: 13
% Current number of rules: 5
% New rule produced :
% [6] multiply(X,additive_inverse(Y)) -> additive_inverse(multiply(X,Y))
% Current number of equations to process: 2
% Current number of ordered equations: 10
% Current number of rules: 6
% New rule produced :
% [7] multiply(additive_inverse(X),Y) -> additive_inverse(multiply(X,Y))
% Current number of equations to process: 1
% Current number of ordered equations: 9
% Current number of rules: 7
% New rule produced :
% [8] multiply(multiply(X,Y),Y) -> multiply(X,multiply(Y,Y))
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 8
% New rule produced :
% [9] multiply(multiply(X,X),Y) -> multiply(X,multiply(X,Y))
% Current number of equations to process: 0
% Current number of ordered equations: 8
% 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: 0
% Current number of ordered equations: 7
% Current number of rules: 10
% New rule produced :
% [11] multiply(X,Y add Z) -> multiply(X,Y) add multiply(X,Z)
% Current number of equations to process: 1
% Current number of ordered equations: 4
% Current number of rules: 11
% New rule produced :
% [12] multiply(X add Y,Z) -> multiply(X,Z) add multiply(Y,Z)
% Current number of equations to process: 1
% Current number of ordered equations: 2
% Current number of rules: 12
% New rule produced :
% [13]
% additive_inverse(multiply(X,Y) add multiply(X,Z)) ->
% additive_inverse(multiply(X,Y)) add additive_inverse(multiply(X,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 13
% New rule produced :
% [14]
% additive_inverse(multiply(X,Z) add multiply(Y,Z)) ->
% additive_inverse(multiply(X,Z)) add additive_inverse(multiply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [15]
% associator(X,Y,Z) ->
% additive_inverse(multiply(X,multiply(Y,Z))) add multiply(multiply(X,Y),Z)
% The conjecture has been reduced.
% Conjecture is now:
% additive_inverse(multiply(x,multiply(multiply(y,x),z))) add multiply(
% multiply(x,
% multiply(y,x)),z) =
% additive_inverse(multiply(x,multiply(x,multiply(y,z)))) add multiply(x,
% multiply(
% multiply(x,y),z))
%
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16] additive_inverse(additive_identity) -> additive_identity
% Current number of equations to process: 16
% Current number of ordered equations: 0
% 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(multiply(X,multiply(Y,Y)),Y) ->
% multiply(multiply(X,Y),multiply(Y,Y))
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19]
% multiply(multiply(X,multiply(X,Y)),Y) ->
% multiply(X,multiply(X,multiply(Y,Y)))
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% additive_inverse(additive_inverse(multiply(X,Y)) add multiply(X,Z)) ->
% additive_inverse(multiply(X,Z)) add multiply(X,Y)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21]
% additive_inverse(additive_inverse(multiply(X,Y)) add multiply(Z,Y)) ->
% additive_inverse(multiply(Z,Y)) add multiply(X,Y)
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22]
% multiply(multiply(X,multiply(X,multiply(X,X))),Y) ->
% multiply(X,multiply(X,multiply(X,multiply(X,Y))))
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [23]
% additive_inverse(additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(X,Z))) ->
% multiply(X,Y) add multiply(X,Z)
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24]
% additive_inverse(additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(Z,Y))) ->
% multiply(X,Y) add multiply(Z,Y)
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% Rule
% [13]
% additive_inverse(multiply(X,Y) add multiply(X,Z)) ->
% additive_inverse(multiply(X,Y)) add additive_inverse(multiply(X,Z))
% collapsed.
% Rule
% [14]
% additive_inverse(multiply(X,Z) add multiply(Y,Z)) ->
% additive_inverse(multiply(X,Z)) add additive_inverse(multiply(Y,Z))
% collapsed.
% Rule [17] additive_inverse(X add Y) add Y -> additive_inverse(X) collapsed.
% Rule
% [20]
% additive_inverse(additive_inverse(multiply(X,Y)) add multiply(X,Z)) ->
% additive_inverse(multiply(X,Z)) add multiply(X,Y) collapsed.
% Rule
% [21]
% additive_inverse(additive_inverse(multiply(X,Y)) add multiply(Z,Y)) ->
% additive_inverse(multiply(Z,Y)) add multiply(X,Y) collapsed.
% Rule
% [23]
% additive_inverse(additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(X,Z))) ->
% multiply(X,Y) add multiply(X,Z) collapsed.
% Rule
% [24]
% additive_inverse(additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(Z,Y))) ->
% multiply(X,Y) add multiply(Z,Y) collapsed.
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [26]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),Y) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,Y))
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [27]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),Y) ->
% multiply(multiply(X,Y),multiply(Y,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [28]
% multiply(multiply(multiply(X,Y),multiply(X,multiply(Y,Y))),Y) ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(Y,Y)))
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [29]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),Y) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [30]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),multiply(Y,Y)) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [31]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))),Y) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [32]
% multiply(X,multiply(multiply(X,multiply(X,X)),multiply(X,multiply(X,X)))) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,X))))))
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [33]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))),Y) ->
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),multiply(Y,Y))
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [34]
% multiply(multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,Y),multiply(Y,Y))),Y)
% ->
% multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))))
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [35]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(Y,Y)))),Y)
% ->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(X,multiply(X,Y)),
% multiply(Y,Y)))
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [36]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))),
% multiply(Y,Y)) ->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(Y,multiply(Y,
% multiply(Y,Y))))
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [37]
% multiply(multiply(X,multiply(X,X)),multiply(X,multiply(X,multiply(X,multiply(X,X)))))
% ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,X)))))))
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [38]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,X))))))),Y)
% ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,Y))))))))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [39]
% multiply(multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,Y),multiply(Y,Y))),
% multiply(Y,Y)) ->
% multiply(multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,multiply(Y,
% multiply(Y,Y))))),Y)
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [40]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(Y,Y))))))),Y)
% ->
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),multiply(Y,
% multiply(Y,
% multiply(Y,Y))))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [41]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(X,Y)))))))),Y)
% ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(Y,Y)))))))))
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [42]
% multiply(multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(multiply(X,
% multiply(X,Y)),
% multiply(Y,Y))),Y) ->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(Y,Y))))))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [43]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,Y)))))))),Y)
% ->
% multiply(multiply(X,Y),multiply(Y,multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,Y))))))))
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [44]
% multiply(multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(X,multiply(Y,
% multiply(Y,
% multiply(Y,Y))))),Y)
% ->
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(multiply(X,Y),
% multiply(Y,multiply(Y,
% multiply(Y,Y)))))
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [45]
% multiply(multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,multiply(Y,
% multiply(Y,Y))))),
% multiply(Y,Y)) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,multiply(Y,Y)),
% multiply(Y,multiply(Y,multiply(Y,Y)))))
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [46]
% multiply(multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(multiply(X,Y),
% multiply(X,multiply(Y,Y))))),Y)
% ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(multiply(X,Y),
% multiply(multiply(X,Y),
% multiply(Y,Y)))))
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [47]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(Y,Y))))))),
% multiply(Y,Y)) ->
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))),
% multiply(Y,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [48]
% multiply(multiply(X,multiply(X,X)),multiply(multiply(X,multiply(X,X)),
% multiply(X,multiply(X,multiply(X,X))))) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(X,X)))))))))
% Current number of equations to process: 430
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [49]
% multiply(multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(multiply(X,
% multiply(X,Y)),
% multiply(Y,Y))),
% multiply(Y,Y)) ->
% multiply(multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(Y,Y)))))),Y)
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [50]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(X,
% multiply(Y,Y))))))))),Y)
% ->
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(X,Y)))))))),
% multiply(Y,Y))
% Current number of equations to process: 488
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [51]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,
% multiply(Y,Y))))))))),Y)
% ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,
% multiply(Y,Y))))))))
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [52]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,Y)))))))),
% multiply(Y,Y)) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,
% multiply(Y,Y))))))))
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [53]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,X)))),multiply(multiply(X,
% multiply(X,X)),
% multiply(X,
% multiply(X,X))))
% ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(X,
% multiply(X,X))))))))))
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [54]
% multiply(multiply(multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,
% multiply(Y,
% multiply(Y,Y))))),Y),
% multiply(Y,Y)) ->
% multiply(multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,Y),multiply(Y,Y))),
% multiply(Y,multiply(Y,multiply(Y,Y))))
% Current number of equations to process: 560
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [55]
% multiply(multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(multiply(X,Y),
% multiply(Y,multiply(Y,
% multiply(Y,Y))))),Y)
% ->
% multiply(multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(X,multiply(Y,
% multiply(Y,
% multiply(Y,Y))))),
% multiply(Y,Y))
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [56]
% multiply(multiply(X,Y),Z) add multiply(multiply(X,Z),Y) add multiply(X,
% multiply(Y,Y)) add
% multiply(X,multiply(Z,Z)) ->
% multiply(X,multiply(Y,Y)) add multiply(X,multiply(Y,Z)) add multiply(X,
% multiply(Z,Y)) add
% multiply(X,multiply(Z,Z))
% Current number of equations to process: 617
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [57]
% multiply(multiply(X,Y),Z) add multiply(multiply(X,Z),Y) add multiply(X,
% multiply(Y,Y)) ->
% multiply(X,multiply(Y,Y)) add multiply(X,multiply(Y,Z)) add multiply(X,
% multiply(Z,Y))
% Rule
% [56]
% multiply(multiply(X,Y),Z) add multiply(multiply(X,Z),Y) add multiply(X,
% multiply(Y,Y)) add
% multiply(X,multiply(Z,Z)) ->
% multiply(X,multiply(Y,Y)) add multiply(X,multiply(Y,Z)) add multiply(X,
% multiply(Z,Y)) add
% multiply(X,multiply(Z,Z)) collapsed.
% Current number of equations to process: 667
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [58]
% multiply(multiply(X,Y),Z) add multiply(multiply(X,Z),Y) ->
% multiply(X,multiply(Y,Z)) add multiply(X,multiply(Z,Y))
% Rule
% [57]
% multiply(multiply(X,Y),Z) add multiply(multiply(X,Z),Y) add multiply(X,
% multiply(Y,Y)) ->
% multiply(X,multiply(Y,Y)) add multiply(X,multiply(Y,Z)) add multiply(X,
% multiply(Z,Y))
% collapsed.
% Current number of equations to process: 729
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [59]
% multiply(multiply(X,Y),X) add multiply(X,multiply(X,Y)) ->
% multiply(X,multiply(X,Y)) add multiply(X,multiply(Y,X))
% Current number of equations to process: 776
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [60]
% additive_inverse(multiply(multiply(X,Y),Z)) add additive_inverse(multiply(
% multiply(X,Z),Y))
% ->
% additive_inverse(multiply(X,multiply(Y,Z))) add additive_inverse(multiply(X,
% multiply(Z,Y)))
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [61]
% additive_inverse(multiply(multiply(X,Z),Y)) add multiply(X,multiply(Y,Z)) add
% multiply(X,multiply(Z,Y)) <-> multiply(multiply(X,Y),Z)
% Current number of equations to process: 798
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [62]
% multiply(multiply(X,Y),Z) <->
% additive_inverse(multiply(multiply(X,Z),Y)) add multiply(X,multiply(Y,Z)) add
% multiply(X,multiply(Z,Y))
% Rule
% [18]
% multiply(multiply(X,multiply(Y,Y)),Y) ->
% multiply(multiply(X,Y),multiply(Y,Y)) collapsed.
% Rule
% [19]
% multiply(multiply(X,multiply(X,Y)),Y) ->
% multiply(X,multiply(X,multiply(Y,Y))) collapsed.
% Rule
% [26]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),Y) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,Y)) collapsed.
% Rule
% [27]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),Y) ->
% multiply(multiply(X,Y),multiply(Y,multiply(Y,multiply(Y,Y)))) collapsed.
% Rule
% [28]
% multiply(multiply(multiply(X,Y),multiply(X,multiply(Y,Y))),Y) ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(Y,Y))) collapsed.
% Rule
% [29]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),Y) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))) collapsed.
% Rule
% [30]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),multiply(Y,Y)) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(Y,multiply(Y,Y))))
% collapsed.
% Rule
% [31]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))),Y) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(Y,multiply(Y,Y))))
% collapsed.
% Rule
% [33]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))),Y) ->
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),multiply(Y,Y))
% collapsed.
% Rule
% [34]
% multiply(multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,Y),multiply(Y,Y))),Y)
% ->
% multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))))
% collapsed.
% Rule
% [35]
% multiply(multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(Y,Y)))),Y)
% ->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(X,multiply(X,Y)),
% multiply(Y,Y))) collapsed.
% Rule
% [36]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Y))))),
% multiply(Y,Y)) ->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(Y,multiply(Y,
% multiply(Y,Y))))
% collapsed.
% Rule
% [39]
% multiply(multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,Y),multiply(Y,Y))),
% multiply(Y,Y)) ->
% multiply(multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,multiply(Y,
% multiply(Y,Y))))),Y)
% collapsed.
% Rule
% [40]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(Y,Y))))))),Y)
% ->
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,Y)))),multiply(Y,
% multiply(Y,
% multiply(Y,Y))))
% collapsed.
% Rule
% [41]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(X,Y)))))))),Y)
% ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(Y,Y)))))))))
% collapsed.
% Rule
% [42]
% multiply(multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(multiply(X,
% multiply(X,Y)),
% multiply(Y,Y))),Y) ->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(Y,Y))))))
% collapsed.
% Rule
% [43]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,Y)))))))),Y)
% ->
% multiply(multiply(X,Y),multiply(Y,multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,Y))))))))
% collapsed.
% Rule
% [44]
% multiply(multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(X,multiply(Y,
% multiply(Y,
% multiply(Y,Y))))),Y)
% ->
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(multiply(X,Y),
% multiply(Y,multiply(Y,
% multiply(Y,Y)))))
% collapsed.
% Rule
% [45]
% multiply(multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,multiply(Y,
% multiply(Y,Y))))),
% multiply(Y,Y)) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,multiply(Y,Y)),
% multiply(Y,multiply(Y,multiply(Y,Y)))))
% collapsed.
% Rule
% [46]
% multiply(multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(multiply(X,Y),
% multiply(X,multiply(Y,Y))))),Y)
% ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(multiply(X,Y),
% multiply(multiply(X,Y),
% multiply(Y,Y))))) collapsed.
% Rule
% [47]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(Y,Y))))))),
% multiply(Y,Y)) ->
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))),
% multiply(Y,multiply(Y,multiply(Y,Y)))) collapsed.
% Rule
% [49]
% multiply(multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(multiply(X,
% multiply(X,Y)),
% multiply(Y,Y))),
% multiply(Y,Y)) ->
% multiply(multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(Y,Y)))))),Y)
% collapsed.
% Rule
% [50]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(X,
% multiply(Y,Y))))))))),Y)
% ->
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(X,Y)))))))),
% multiply(Y,Y)) collapsed.
% Rule
% [51]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,
% multiply(Y,Y))))))))),Y)
% ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,
% multiply(Y,Y))))))))
% collapsed.
% Rule
% [52]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,Y)))))))),
% multiply(Y,Y)) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(Y,multiply(Y,multiply(Y,
% multiply(Y,
% multiply(Y,
% multiply(Y,Y))))))))
% collapsed.
% Rule
% [54]
% multiply(multiply(multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,
% multiply(Y,
% multiply(Y,Y))))),Y),
% multiply(Y,Y)) ->
% multiply(multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,Y),multiply(Y,Y))),
% multiply(Y,multiply(Y,multiply(Y,Y)))) collapsed.
% Rule
% [55]
% multiply(multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(multiply(X,Y),
% multiply(Y,multiply(Y,
% multiply(Y,Y))))),Y)
% ->
% multiply(multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(X,multiply(Y,
% multiply(Y,
% multiply(Y,Y))))),
% multiply(Y,Y)) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% additive_inverse(multiply(multiply(x,z),multiply(y,x))) add multiply(x,
% multiply(z,
% multiply(y,x))) =
% additive_inverse(multiply(x,multiply(multiply(x,z),y))) add multiply(x,
% multiply(x,
% multiply(z,y)))
%
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [63]
% multiply(multiply(multiply(X,Y),Z),V_3) add multiply(multiply(multiply(X,Z),Y),V_3)
% ->
% multiply(multiply(X,multiply(Y,Z)),V_3) add multiply(multiply(X,multiply(Z,Y)),V_3)
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [64]
% multiply(multiply(X,Y),multiply(X,Y)) add multiply(X,multiply(X,multiply(Y,Y)))
% ->
% multiply(X,multiply(X,multiply(Y,Y))) add multiply(X,multiply(Y,multiply(X,Y)))
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [65]
% multiply(multiply(multiply(X,Y),Z),Y) add multiply(multiply(X,multiply(Y,Y)),Z)
% ->
% multiply(multiply(X,Y),multiply(Y,Z)) add multiply(multiply(X,Y),multiply(Z,Y))
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [66]
% multiply(multiply(X,multiply(X,Y)),Z) add multiply(multiply(X,multiply(X,Z)),Y)
% ->
% multiply(X,multiply(X,multiply(Y,Z))) add multiply(X,multiply(X,multiply(Z,Y)))
% Current number of equations to process: 826
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [67]
% multiply(X,multiply(multiply(Y,Z),V_3)) add multiply(X,multiply(multiply(Y,V_3),Z))
% ->
% multiply(X,multiply(Y,multiply(Z,V_3))) add multiply(X,multiply(Y,multiply(V_3,Z)))
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [68]
% multiply(multiply(X,Y),multiply(Y,Y)) add multiply(multiply(X,Y),multiply(Y,Y))
% ->
% multiply(X,multiply(Y,multiply(Y,Y))) add multiply(X,multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 824
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [69] multiply(multiply(X,Y),X) -> multiply(X,multiply(Y,X))
% Rule
% [59]
% multiply(multiply(X,Y),X) add multiply(X,multiply(X,Y)) ->
% multiply(X,multiply(X,Y)) add multiply(X,multiply(Y,X)) collapsed.
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [70]
% additive_inverse(multiply(multiply(X,Y),Z)) <->
% additive_inverse(multiply(X,multiply(Y,Z))) add additive_inverse(multiply(X,
% multiply(Z,Y))) add
% multiply(multiply(X,Z),Y)
% Current number of equations to process: 852
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [71]
% additive_inverse(multiply(X,multiply(Y,Z))) add additive_inverse(multiply(X,
% multiply(Z,Y))) add
% multiply(multiply(X,Z),Y) <-> additive_inverse(multiply(multiply(X,Y),Z))
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [72]
% additive_inverse(multiply(X,multiply(Y,Z))) add multiply(multiply(X,Z),Y) <->
% additive_inverse(multiply(multiply(X,Y),Z)) add multiply(X,multiply(Z,Y))
% Current number of equations to process: 890
% Current number of ordered equations: 3
% Current number of rules: 35
% New rule produced :
% [73]
% additive_inverse(multiply(multiply(X,Y),Z)) add multiply(X,multiply(Y,Z)) <->
% additive_inverse(multiply(X,multiply(Z,Y))) add multiply(multiply(X,Z),Y)
% Current number of equations to process: 890
% Current number of ordered equations: 2
% Current number of rules: 36
% New rule produced :
% [74]
% additive_inverse(multiply(multiply(X,Y),Z)) add multiply(X,multiply(Z,Y)) <->
% additive_inverse(multiply(X,multiply(Y,Z))) add multiply(multiply(X,Z),Y)
% Current number of equations to process: 890
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [75]
% additive_inverse(multiply(X,multiply(Z,Y))) add multiply(multiply(X,Z),Y) <->
% additive_inverse(multiply(multiply(X,Y),Z)) add multiply(X,multiply(Y,Z))
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [76]
% additive_inverse(multiply(multiply(multiply(X,Y),Z),V_3)) add additive_inverse(
% multiply(
% multiply(
% multiply(X,Z),Y),V_3))
% ->
% additive_inverse(multiply(multiply(X,multiply(Y,Z)),V_3)) add additive_inverse(
% multiply(
% multiply(X,
% multiply(Z,Y)),V_3))
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [77]
% additive_inverse(multiply(multiply(multiply(X,Y),Z),Y)) add additive_inverse(
% multiply(
% multiply(X,
% multiply(Y,Y)),Z))
% ->
% additive_inverse(multiply(multiply(X,Y),multiply(Y,Z))) add additive_inverse(
% multiply(
% multiply(X,Y),
% multiply(Z,Y)))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [78]
% additive_inverse(multiply(multiply(X,multiply(X,Y)),Z)) add additive_inverse(
% multiply(
% multiply(X,
% multiply(X,Z)),Y))
% ->
% additive_inverse(multiply(X,multiply(X,multiply(Y,Z)))) add additive_inverse(
% multiply(X,
% multiply(X,
% multiply(Z,Y))))
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [79]
% additive_inverse(multiply(X,multiply(multiply(Y,Z),V_3))) add additive_inverse(
% multiply(X,
% multiply(
% multiply(Y,V_3),Z)))
% ->
% additive_inverse(multiply(X,multiply(Y,multiply(Z,V_3)))) add additive_inverse(
% multiply(X,
% multiply(Y,
% multiply(V_3,Z))))
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [80]
% multiply(multiply(X,multiply(Y,multiply(X,Y))),Z) ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),Z))
% Rule
% [22]
% multiply(multiply(X,multiply(X,multiply(X,X))),Y) ->
% multiply(X,multiply(X,multiply(X,multiply(X,Y)))) collapsed.
% Current number of equations to process: 919
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [81]
% multiply(multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(X,multiply(Y,
% multiply(X,Y))))),Z)
% ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(multiply(X,Y),
% multiply(multiply(X,Y),Z))))
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [82]
% multiply(multiply(X,Y),multiply(X,Y)) ->
% multiply(X,multiply(Y,multiply(X,Y)))
% Rule
% [32]
% multiply(X,multiply(multiply(X,multiply(X,X)),multiply(X,multiply(X,X)))) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,X))))))
% collapsed.
% Rule
% [53]
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,X)))),multiply(multiply(X,
% multiply(X,X)),
% multiply(X,
% multiply(X,X))))
% ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(X,
% multiply(X,X))))))))))
% collapsed.
% Rule
% [64]
% multiply(multiply(X,Y),multiply(X,Y)) add multiply(X,multiply(X,multiply(Y,Y)))
% ->
% multiply(X,multiply(X,multiply(Y,Y))) add multiply(X,multiply(Y,multiply(X,Y)))
% collapsed.
% Current number of equations to process: 1009
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [83]
% multiply(multiply(X,multiply(X,X)),Y) add multiply(X,multiply(X,multiply(Y,X)))
% ->
% multiply(X,multiply(X,multiply(X,Y))) add multiply(X,multiply(X,multiply(Y,X)))
% Current number of equations to process: 1064
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [84]
% multiply(multiply(X,Y),multiply(X,X)) ->
% multiply(X,multiply(Y,multiply(X,X)))
% Current number of equations to process: 1185
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [85]
% multiply(multiply(X,multiply(Y,Y)),multiply(X,Y)) ->
% multiply(multiply(X,Y),multiply(Y,multiply(X,Y)))
% Current number of equations to process: 1184
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [86]
% multiply(multiply(X,multiply(Y,X)),multiply(X,Y)) ->
% multiply(multiply(X,Y),multiply(X,multiply(X,Y)))
% Current number of equations to process: 1208
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [87]
% multiply(multiply(multiply(X,Y),Z),X) add multiply(multiply(X,multiply(Y,X)),Z)
% ->
% multiply(multiply(X,Y),multiply(X,Z)) add multiply(multiply(X,Y),multiply(Z,X))
% Current number of equations to process: 1207
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [88]
% additive_inverse(multiply(multiply(X,multiply(Y,Z)),V_3)) add multiply(
% multiply(
% multiply(X,Z),Y),V_3)
% <->
% additive_inverse(multiply(multiply(multiply(X,Y),Z),V_3)) add multiply(
% multiply(X,
% multiply(Z,Y)),V_3)
% Current number of equations to process: 1585
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [89]
% additive_inverse(multiply(multiply(multiply(X,Y),Z),V_3)) add multiply(
% multiply(X,
% multiply(Z,Y)),V_3)
% <->
% additive_inverse(multiply(multiply(X,multiply(Y,Z)),V_3)) add multiply(
% multiply(
% multiply(X,Z),Y),V_3)
% Current number of equations to process: 1585
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [90]
% additive_inverse(multiply(multiply(multiply(X,Y),Z),Y)) add multiply(
% multiply(X,Y),
% multiply(Y,Z)) ->
% additive_inverse(multiply(multiply(X,Y),multiply(Z,Y))) add multiply(
% multiply(X,
% multiply(Y,Y)),Z)
% Current number of equations to process: 1584
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [91]
% additive_inverse(multiply(multiply(X,multiply(Y,Y)),Z)) add multiply(X,
% multiply(Z,
% multiply(Y,Y)))
% <->
% additive_inverse(multiply(X,multiply(Y,multiply(Y,Z)))) add multiply(
% multiply(X,Z),
% multiply(Y,Y))
% Current number of equations to process: 1582
% Current number of ordered equations: 3
% Current number of rules: 50
% New rule produced :
% [92]
% additive_inverse(multiply(multiply(X,multiply(X,Y)),Z)) add multiply(X,
% multiply(X,
% multiply(Z,Y)))
% <->
% additive_inverse(multiply(X,multiply(X,multiply(Y,Z)))) add multiply(
% multiply(X,
% multiply(X,Z)),Y)
% Current number of equations to process: 1582
% Current number of ordered equations: 2
% Current number of rules: 51
% New rule produced :
% [93]
% additive_inverse(multiply(X,multiply(X,multiply(Y,Z)))) add multiply(
% multiply(X,
% multiply(X,Z)),Y)
% <->
% additive_inverse(multiply(multiply(X,multiply(X,Y)),Z)) add multiply(X,
% multiply(X,
% multiply(Z,Y)))
% Current number of equations to process: 1582
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [94]
% additive_inverse(multiply(X,multiply(Y,multiply(Y,Z)))) add multiply(
% multiply(X,Z),
% multiply(Y,Y))
% <->
% additive_inverse(multiply(multiply(X,multiply(Y,Y)),Z)) add multiply(X,
% multiply(Z,
% multiply(Y,Y)))
% Current number of equations to process: 1582
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [95]
% additive_inverse(multiply(X,multiply(Y,multiply(Z,V_3)))) add multiply(X,
% multiply(
% multiply(Y,V_3),Z))
% <->
% additive_inverse(multiply(X,multiply(multiply(Y,Z),V_3))) add multiply(X,
% multiply(Y,
% multiply(V_3,Z)))
% Current number of equations to process: 1581
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [96]
% additive_inverse(multiply(X,multiply(multiply(Y,Z),V_3))) add multiply(X,
% multiply(Y,
% multiply(V_3,Z)))
% <->
% additive_inverse(multiply(X,multiply(Y,multiply(Z,V_3)))) add multiply(X,
% multiply(
% multiply(Y,V_3),Z))
% Current number of equations to process: 1581
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [97]
% additive_inverse(multiply(multiply(multiply(X,Y),Z),X)) add multiply(
% multiply(X,Y),
% multiply(X,Z)) ->
% additive_inverse(multiply(multiply(X,Y),multiply(Z,X))) add multiply(
% multiply(X,
% multiply(Y,X)),Z)
% Current number of equations to process: 1580
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [98]
% additive_inverse(multiply(multiply(X,multiply(Y,Z)),V_3)) add multiply(
% multiply(
% multiply(X,Y),Z),V_3)
% <->
% additive_inverse(multiply(multiply(multiply(X,Z),Y),V_3)) add multiply(
% multiply(X,
% multiply(Z,Y)),V_3)
% Current number of equations to process: 1579
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [99]
% additive_inverse(multiply(multiply(multiply(X,Z),Y),V_3)) add multiply(
% multiply(X,
% multiply(Z,Y)),V_3)
% <->
% additive_inverse(multiply(multiply(X,multiply(Y,Z)),V_3)) add multiply(
% multiply(
% multiply(X,Y),Z),V_3)
% Current number of equations to process: 1579
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [100]
% additive_inverse(multiply(multiply(X,Y),multiply(Z,Y))) add multiply(
% multiply(
% multiply(X,Y),Z),Y)
% ->
% additive_inverse(multiply(multiply(X,multiply(Y,Y)),Z)) add multiply(
% multiply(X,Y),
% multiply(Y,Z))
% Current number of equations to process: 1578
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [101]
% additive_inverse(multiply(multiply(X,multiply(Y,Y)),Z)) add multiply(X,
% multiply(Y,
% multiply(Y,Z)))
% <->
% additive_inverse(multiply(X,multiply(Z,multiply(Y,Y)))) add multiply(
% multiply(X,Z),
% multiply(Y,Y))
% Current number of equations to process: 1576
% Current number of ordered equations: 3
% Current number of rules: 60
% New rule produced :
% [102]
% additive_inverse(multiply(multiply(X,multiply(X,Y)),Z)) add multiply(X,
% multiply(X,
% multiply(Y,Z)))
% <->
% additive_inverse(multiply(X,multiply(X,multiply(Z,Y)))) add multiply(
% multiply(X,
% multiply(X,Z)),Y)
% Current number of equations to process: 1576
% Current number of ordered equations: 2
% Current number of rules: 61
% New rule produced :
% [103]
% additive_inverse(multiply(X,multiply(X,multiply(Z,Y)))) add multiply(
% multiply(X,
% multiply(X,Z)),Y)
% <->
% additive_inverse(multiply(multiply(X,multiply(X,Y)),Z)) add multiply(X,
% multiply(X,
% multiply(Y,Z)))
% Current number of equations to process: 1576
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [104]
% additive_inverse(multiply(X,multiply(Z,multiply(Y,Y)))) add multiply(
% multiply(X,Z),
% multiply(Y,Y))
% <->
% additive_inverse(multiply(multiply(X,multiply(Y,Y)),Z)) add multiply(X,
% multiply(Y,
% multiply(Y,Z)))
% Current number of equations to process: 1576
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [105]
% additive_inverse(multiply(X,multiply(Y,multiply(Z,V_3)))) add multiply(X,
% multiply(
% multiply(Y,Z),V_3))
% <->
% additive_inverse(multiply(X,multiply(multiply(Y,V_3),Z))) add multiply(X,
% multiply(Y,
% multiply(V_3,Z)))
% Current number of equations to process: 1575
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [106]
% additive_inverse(multiply(X,multiply(multiply(Y,V_3),Z))) add multiply(X,
% multiply(Y,
% multiply(V_3,Z)))
% <->
% additive_inverse(multiply(X,multiply(Y,multiply(Z,V_3)))) add multiply(X,
% multiply(
% multiply(Y,Z),V_3))
% Current number of equations to process: 1575
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [107]
% additive_inverse(multiply(multiply(X,Y),multiply(Z,X))) add multiply(
% multiply(
% multiply(X,Y),Z),X)
% ->
% additive_inverse(multiply(multiply(X,multiply(Y,X)),Z)) add multiply(
% multiply(X,Y),
% multiply(X,Z))
% Current number of equations to process: 1574
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [108]
% additive_inverse(multiply(multiply(X,Y),multiply(Y,Z))) add multiply(
% multiply(
% multiply(X,Y),Z),Y)
% ->
% additive_inverse(multiply(multiply(X,multiply(Y,Y)),Z)) add multiply(
% multiply(X,Y),
% multiply(Z,Y))
% Current number of equations to process: 1572
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [109]
% additive_inverse(multiply(X,multiply(Y,multiply(Z,Z)))) add multiply(
% multiply(X,
% multiply(Z,Z)),Y)
% <->
% additive_inverse(multiply(multiply(X,Y),multiply(Z,Z))) add multiply(X,
% multiply(Z,
% multiply(Z,Y)))
% Current number of equations to process: 1570
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [110]
% additive_inverse(multiply(multiply(X,Y),multiply(Z,Z))) add multiply(X,
% multiply(Z,
% multiply(Z,Y)))
% <->
% additive_inverse(multiply(X,multiply(Y,multiply(Z,Z)))) add multiply(
% multiply(X,
% multiply(Z,Z)),Y)
% Current number of equations to process: 1570
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [111]
% additive_inverse(multiply(multiply(X,Y),multiply(X,Z))) add multiply(
% multiply(
% multiply(X,Y),Z),X)
% ->
% additive_inverse(multiply(multiply(X,multiply(Y,X)),Z)) add multiply(
% multiply(X,Y),
% multiply(Z,X))
% Current number of equations to process: 1568
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [112]
% additive_inverse(multiply(multiply(multiply(X,Y),Z),Y)) add multiply(
% multiply(X,Y),
% multiply(Z,Y)) ->
% additive_inverse(multiply(multiply(X,Y),multiply(Y,Z))) add multiply(
% multiply(X,
% multiply(Y,Y)),Z)
% Current number of equations to process: 1566
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [113]
% additive_inverse(multiply(multiply(X,Z),multiply(Y,Y))) add multiply(X,
% multiply(Z,
% multiply(Y,Y)))
% <->
% additive_inverse(multiply(X,multiply(Y,multiply(Y,Z)))) add multiply(
% multiply(X,
% multiply(Y,Y)),Z)
% Current number of equations to process: 1564
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [114]
% additive_inverse(multiply(X,multiply(Y,multiply(Y,Z)))) add multiply(
% multiply(X,
% multiply(Y,Y)),Z)
% <->
% additive_inverse(multiply(multiply(X,Z),multiply(Y,Y))) add multiply(X,
% multiply(Z,
% multiply(Y,Y)))
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [115]
% additive_inverse(multiply(multiply(multiply(X,Y),Z),X)) add multiply(
% multiply(X,Y),
% multiply(Z,X)) ->
% additive_inverse(multiply(multiply(X,Y),multiply(X,Z))) add multiply(
% multiply(X,
% multiply(Y,X)),Z)
% Current number of equations to process: 1562
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [116]
% additive_inverse(multiply(multiply(X,Y),multiply(Y,Y))) add additive_inverse(
% multiply(
% multiply(X,Y),
% multiply(Y,Y)))
% ->
% additive_inverse(multiply(X,multiply(Y,multiply(Y,Y)))) add additive_inverse(
% multiply(X,
% multiply(Y,
% multiply(Y,Y))))
% Current number of equations to process: 1566
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [117]
% additive_inverse(multiply(multiply(multiply(X,Y),Z),X)) add additive_inverse(
% multiply(
% multiply(X,
% multiply(Y,X)),Z))
% ->
% additive_inverse(multiply(multiply(X,Y),multiply(X,Z))) add additive_inverse(
% multiply(
% multiply(X,Y),
% multiply(Z,X)))
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [118]
% additive_inverse(multiply(multiply(X,multiply(X,X)),Y)) add additive_inverse(
% multiply(X,
% multiply(X,
% multiply(Y,X))))
% ->
% additive_inverse(multiply(X,multiply(X,multiply(X,Y)))) add additive_inverse(
% multiply(X,
% multiply(X,
% multiply(Y,X))))
% Current number of equations to process: 1679
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [119]
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(Y,multiply(X,Y)))) ->
% multiply(X,multiply(Y,multiply(multiply(X,Y),multiply(Y,multiply(X,Y)))))
% Current number of equations to process: 1881
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [120]
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(X,multiply(Y,Y)))),Z) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,multiply(Y,Y)),Z))
% Current number of equations to process: 1881
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [121]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,Y))))),Z) ->
% multiply(multiply(X,multiply(X,Y)),multiply(multiply(X,multiply(X,Y)),Z))
% Current number of equations to process: 1879
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [122]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,Y))))),Z) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,multiply(Y,Y)),Z))
% Current number of equations to process: 1879
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [123]
% multiply(multiply(multiply(X,Y),multiply(X,multiply(X,multiply(Y,X)))),Z) ->
% multiply(multiply(X,multiply(Y,X)),multiply(multiply(X,multiply(Y,X)),Z))
% Current number of equations to process: 1878
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [124]
% multiply(multiply(X,Y),multiply(Y,multiply(X,multiply(Y,Y)))) ->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,Y)))))
% Rule
% [120]
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(X,multiply(Y,Y)))),Z) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,multiply(Y,Y)),Z))
% collapsed.
% Current number of equations to process: 2021
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [125]
% multiply(X,multiply(multiply(X,Y),multiply(X,multiply(X,Y)))) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,Y)))))
% Current number of equations to process: 2020
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [126]
% multiply(X,multiply(multiply(Y,X),multiply(X,multiply(Y,X)))) <->
% multiply(multiply(X,Y),multiply(X,multiply(X,multiply(Y,X))))
% Current number of equations to process: 2019
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [127]
% multiply(multiply(X,Y),multiply(X,multiply(X,multiply(Y,X)))) <->
% multiply(X,multiply(multiply(Y,X),multiply(X,multiply(Y,X))))
% Current number of equations to process: 2019
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [128]
% multiply(X,multiply(multiply(Y,multiply(X,Y)),multiply(X,multiply(Y,multiply(X,Y)))))
% ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(X,multiply(Y,multiply(X,Y)))))
% Current number of equations to process: 2026
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [129]
% multiply(multiply(X,multiply(X,X)),Y) ->
% multiply(X,multiply(X,multiply(X,Y)))
% Rule
% [37]
% multiply(multiply(X,multiply(X,X)),multiply(X,multiply(X,multiply(X,multiply(X,X)))))
% ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,X)))))))
% collapsed.
% Rule
% [48]
% multiply(multiply(X,multiply(X,X)),multiply(multiply(X,multiply(X,X)),
% multiply(X,multiply(X,multiply(X,X))))) ->
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,
% multiply(X,
% multiply(X,X)))))))))
% collapsed.
% Rule
% [83]
% multiply(multiply(X,multiply(X,X)),Y) add multiply(X,multiply(X,multiply(Y,X)))
% ->
% multiply(X,multiply(X,multiply(X,Y))) add multiply(X,multiply(X,multiply(Y,X)))
% collapsed.
% Rule
% [118]
% additive_inverse(multiply(multiply(X,multiply(X,X)),Y)) add additive_inverse(
% multiply(X,
% multiply(X,
% multiply(Y,X))))
% ->
% additive_inverse(multiply(X,multiply(X,multiply(X,Y)))) add additive_inverse(
% multiply(X,
% multiply(X,
% multiply(Y,X))))
% collapsed.
% Current number of equations to process: 2044
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [130]
% multiply(multiply(X,Y),multiply(X,multiply(X,multiply(X,X)))) ->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,X)))))
% Current number of equations to process: 2050
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [131]
% multiply(multiply(X,multiply(Y,multiply(X,X))),multiply(X,Y)) ->
% multiply(multiply(X,Y),multiply(X,multiply(X,multiply(X,Y))))
% Current number of equations to process: 2074
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [132]
% multiply(X,multiply(multiply(Y,multiply(X,Y)),multiply(X,X))) ->
% multiply(multiply(X,Y),multiply(X,multiply(Y,multiply(X,X))))
% Current number of equations to process: 2081
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [133]
% multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,multiply(X,Y)))) ->
% multiply(multiply(X,Y),multiply(Y,multiply(X,multiply(Y,multiply(X,Y)))))
% Current number of equations to process: 2240
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [134]
% multiply(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,multiply(X,Y)))) ->
% multiply(multiply(X,Y),multiply(Z,multiply(X,multiply(Y,multiply(X,Y)))))
% Current number of equations to process: 2238
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [135]
% multiply(multiply(X,multiply(Y,X)),multiply(X,multiply(Y,multiply(X,Y)))) ->
% multiply(multiply(X,Y),multiply(X,multiply(X,multiply(Y,multiply(X,Y)))))
% Current number of equations to process: 2237
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [136]
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),multiply(X,multiply(Y,Y))) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(X,multiply(Y,Y))))
% Current number of equations to process: 2234
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [137]
% multiply(multiply(X,multiply(X,multiply(Y,Y))),multiply(X,multiply(X,Y))) ->
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(X,multiply(X,Y))))
% Current number of equations to process: 2233
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [138]
% multiply(multiply(X,multiply(Y,multiply(X,X))),multiply(X,multiply(Y,X))) ->
% multiply(multiply(X,multiply(Y,X)),multiply(X,multiply(X,multiply(Y,X))))
% Current number of equations to process: 2231
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [139]
% multiply(multiply(X,multiply(Y,multiply(Y,X))),multiply(X,multiply(Y,Y))) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(X,multiply(Y,Y))))
% Current number of equations to process: 2230
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [140]
% multiply(multiply(X,multiply(X,multiply(Y,X))),multiply(X,multiply(X,Y))) ->
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(X,Y))))
% Current number of equations to process: 2229
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [141]
% multiply(X,multiply(multiply(Y,multiply(X,X)),multiply(X,multiply(Y,multiply(X,X)))))
% <->
% multiply(multiply(X,Y),multiply(X,multiply(X,multiply(X,multiply(Y,multiply(X,X))))))
% Current number of equations to process: 2250
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [142]
% multiply(multiply(X,Y),multiply(X,multiply(X,multiply(X,multiply(Y,multiply(X,X))))))
% <->
% multiply(X,multiply(multiply(Y,multiply(X,X)),multiply(X,multiply(Y,multiply(X,X)))))
% Current number of equations to process: 2250
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [143]
% multiply(multiply(X,multiply(Y,multiply(X,X))),multiply(X,multiply(Y,
% multiply(X,Y)))) ->
% multiply(multiply(X,Y),multiply(X,multiply(X,multiply(X,multiply(Y,multiply(X,Y))))))
% Current number of equations to process: 2249
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [144]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),multiply(X,
% multiply(Y,Y))) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(Y,multiply(X,multiply(Y,Y)))))
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [145]
% multiply(multiply(X,multiply(Y,multiply(Z,multiply(Y,Z)))),multiply(X,
% multiply(Y,Z))) ->
% multiply(multiply(X,multiply(Y,Z)),multiply(multiply(Y,Z),multiply(X,
% multiply(Y,Z))))
% Rule
% [144]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))),multiply(X,
% multiply(Y,Y))) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(Y,multiply(X,multiply(Y,Y)))))
% collapsed.
% Current number of equations to process: 2247
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [146]
% multiply(multiply(multiply(X,Y),multiply(Y,multiply(X,Y))),multiply(X,
% multiply(Y,Y))) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(multiply(X,Y),multiply(X,
% multiply(Y,Y))))
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [147]
% multiply(multiply(X,multiply(X,multiply(Y,multiply(X,X)))),multiply(X,
% multiply(X,Y))) ->
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(X,multiply(X,Y)))))
% Current number of equations to process: 2243
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [148]
% multiply(multiply(multiply(X,Y),multiply(X,multiply(X,Y))),multiply(X,
% multiply(Y,X))) ->
% multiply(multiply(X,multiply(Y,X)),multiply(multiply(X,Y),multiply(X,
% multiply(Y,X))))
% Current number of equations to process: 2242
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [149]
% additive_inverse(multiply(multiply(multiply(X,Y),Z),X)) add multiply(X,
% multiply(
% multiply(Z,Y),X))
% <->
% additive_inverse(multiply(X,multiply(multiply(Y,Z),X))) add multiply(
% multiply(
% multiply(X,Z),Y),X)
% Current number of equations to process: 2403
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [150]
% additive_inverse(multiply(X,multiply(multiply(Y,Z),X))) add multiply(
% multiply(
% multiply(X,Z),Y),X)
% <->
% additive_inverse(multiply(multiply(multiply(X,Y),Z),X)) add multiply(X,
% multiply(
% multiply(Z,Y),X))
% Current number of equations to process: 2403
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [151]
% additive_inverse(multiply(multiply(multiply(X,Z),Y),X)) add multiply(X,
% multiply(
% multiply(Z,Y),X))
% <->
% additive_inverse(multiply(X,multiply(multiply(Y,Z),X))) add multiply(
% multiply(
% multiply(X,Y),Z),X)
% Current number of equations to process: 3738
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [152]
% additive_inverse(multiply(X,multiply(multiply(Y,Z),X))) add multiply(
% multiply(
% multiply(X,Y),Z),X)
% <->
% additive_inverse(multiply(multiply(multiply(X,Z),Y),X)) add multiply(X,
% multiply(
% multiply(Z,Y),X))
% Current number of equations to process: 3738
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [153]
% additive_inverse(multiply(multiply(X,Y),multiply(Y,X))) add multiply(X,
% multiply(Y,
% multiply(Y,X)))
% ->
% additive_inverse(multiply(X,multiply(Y,multiply(Y,X)))) add multiply(
% multiply(X,Y),
% multiply(Y,X))
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [154]
% additive_inverse(multiply(multiply(X,Y),multiply(X,multiply(X,Y)))) add
% multiply(X,multiply(Y,multiply(X,multiply(X,Y)))) -> additive_identity
% Current number of equations to process: 4266
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [155]
% additive_inverse(multiply(multiply(X,Y),multiply(X,multiply(X,multiply(X,Y))))) add
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,Y))))) ->
% additive_identity
% Current number of equations to process: 4406
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [156]
% multiply(X,multiply(multiply(Y,multiply(Y,multiply(X,multiply(Y,Y)))),
% multiply(X,X))) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(Y,multiply(Y,multiply(X,X)))))
% Current number of equations to process: 3048
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [157]
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,multiply(multiply(X,Y),
% multiply(Y,Y)))) ->
% multiply(multiply(X,Y),multiply(Y,multiply(Y,multiply(multiply(X,Y),multiply(Y,Y)))))
% Current number of equations to process: 3047
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [158]
% multiply(multiply(X,multiply(X,Y)),multiply(Y,multiply(X,multiply(X,multiply(Y,Y)))))
% ->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,Y)))))))
% Current number of equations to process: 3046
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [159]
% multiply(multiply(X,multiply(Y,X)),multiply(X,multiply(X,multiply(Y,multiply(X,X)))))
% ->
% multiply(multiply(X,Y),multiply(X,multiply(X,multiply(X,multiply(Y,multiply(X,X))))))
% Current number of equations to process: 3045
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [160]
% multiply(X,multiply(multiply(Y,multiply(Y,X)),multiply(X,multiply(Y,multiply(Y,X)))))
% <->
% multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(X,multiply(Y,multiply(Y,X)))))
% Current number of equations to process: 3043
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [161]
% multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(X,multiply(Y,multiply(Y,X)))))
% <->
% multiply(X,multiply(multiply(Y,multiply(Y,X)),multiply(X,multiply(Y,multiply(Y,X)))))
% Current number of equations to process: 3043
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [162]
% multiply(X,multiply(X,multiply(multiply(Y,X),multiply(X,multiply(X,multiply(Y,X))))))
% <->
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(X,multiply(Y,X)))))
% Current number of equations to process: 3042
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [163]
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(X,multiply(Y,X)))))
% <->
% multiply(X,multiply(X,multiply(multiply(Y,X),multiply(X,multiply(X,multiply(Y,X))))))
% Current number of equations to process: 3042
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [164]
% multiply(multiply(multiply(X,Y),multiply(X,multiply(Y,multiply(X,Y)))),Z) ->
% multiply(multiply(X,Y),multiply(multiply(X,Y),multiply(multiply(X,Y),Z)))
% Current number of equations to process: 3309
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [165]
% multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(X,multiply(X,X))) ->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,X))))))
% Current number of equations to process: 3308
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [166]
% multiply(X,multiply(X,multiply(multiply(X,Y),multiply(X,multiply(X,multiply(X,Y))))))
% ->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,Y)))))))
% Current number of equations to process: 4953
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [167]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,X))))),
% multiply(X,Y)) ->
% multiply(multiply(X,Y),multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,Y))))))
% Current number of equations to process: 4952
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [168]
% multiply(X,multiply(multiply(Y,multiply(X,Y)),multiply(X,multiply(X,multiply(X,X)))))
% ->
% multiply(multiply(X,Y),multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,X))))))
% Current number of equations to process: 4951
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [169]
% multiply(multiply(X,multiply(Y,multiply(Y,multiply(X,X)))),multiply(X,
% multiply(Y,Y))) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))
% Current number of equations to process: 4950
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [170]
% multiply(multiply(X,multiply(Y,multiply(X,multiply(X,Y)))),multiply(X,
% multiply(Y,X))) ->
% multiply(multiply(X,multiply(Y,X)),multiply(multiply(X,Y),multiply(X,
% multiply(Y,X))))
% Current number of equations to process: 2403
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [171]
% additive_inverse(multiply(multiply(X,multiply(X,multiply(X,multiply(X,X)))),Y)) add
% multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,Y))))) ->
% additive_identity
% Current number of equations to process: 2570
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [172]
% additive_inverse(multiply(X,multiply(X,multiply(X,multiply(X,multiply(X,Y)))))) add
% multiply(multiply(X,multiply(X,multiply(X,multiply(X,X)))),Y) ->
% additive_identity
% Current number of equations to process: 2569
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [173]
% additive_inverse(multiply(X,multiply(Y,multiply(X,multiply(X,Y))))) add
% multiply(multiply(X,Y),multiply(X,multiply(X,Y))) -> additive_identity
% Current number of equations to process: 3680
% Current number of ordered equations: 0
% Current number of rules: 126
% Rule [140]
% multiply(multiply(X,multiply(X,multiply(Y,X))),multiply(X,multiply(X,Y)))
% ->
% multiply(multiply(X,multiply(X,Y)),multiply(X,multiply(X,multiply(X,Y)))) is composed into
% [140]
% multiply(multiply(X,multiply(X,multiply(Y,X))),multiply(X,multiply(X,Y))) ->
% multiply(X,multiply(multiply(X,Y),multiply(X,multiply(X,multiply(X,Y)))))
% Rule [139]
% multiply(multiply(X,multiply(Y,multiply(Y,X))),multiply(X,multiply(Y,Y)))
% ->
% multiply(multiply(X,multiply(Y,Y)),multiply(X,multiply(X,multiply(Y,Y)))) is composed into
% [139]
% multiply(multiply(X,multiply(Y,multiply(Y,X))),multiply(X,multiply(Y,Y))) ->
% multiply(X,multiply(multiply(Y,Y),multiply(X,multiply(X,multiply(Y,Y)))))
% Rule [138]
% multiply(multiply(X,multiply(Y,multiply(X,X))),multiply(X,multiply(Y,X)))
% ->
% multiply(multiply(X,multiply(Y,X)),multiply(X,multiply(X,multiply(Y,X)))) is composed into
% [138]
% multiply(multiply(X,multiply(Y,multiply(X,X))),multiply(X,multiply(Y,X))) ->
% multiply(X,multiply(multiply(Y,X),multiply(X,multiply(X,multiply(Y,X)))))
% Rule [86]
% multiply(multiply(X,multiply(Y,X)),multiply(X,Y)) ->
% multiply(multiply(X,Y),multiply(X,multiply(X,Y))) is composed into
% [86]
% multiply(multiply(X,multiply(Y,X)),multiply(X,Y)) ->
% multiply(X,multiply(Y,multiplCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------