TSTP Solution File: RNG030-7 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : RNG030-7 : TPTP v6.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n051.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 00:31:48 EDT 2014
% Result : Timeout 300.03s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : RNG030-7 : TPTP v6.0.0. Released v1.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n051.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 19:44:38 CDT 2014
% % CPUTime : 300.03
% Processing problem /tmp/CiME_9800_n051.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " add : AC; y,x,additive_identity : constant; commutator : 2; associator : 3; multiply : 2; additive_inverse : 1;";
% let X = vars "X Y Z";
% let Axioms = equations F 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,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));
% 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));
% 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));
% ";
%
% let s1 = status F "
% y lr_lex;
% x lr_lex;
% commutator lr_lex;
% associator lr_lex;
% additive_identity lr_lex;
% additive_inverse lr_lex;
% add mul;
% multiply mul;
% ";
%
% let p1 = precedence F "
% associator > commutator > multiply > additive_inverse > add > additive_identity > x > y";
%
% let s2 = status F "
% y mul;
% x mul;
% commutator mul;
% associator mul;
% additive_identity mul;
% add mul;
% multiply mul;
% additive_inverse mul;
% ";
%
% let p2 = precedence F "
% associator > commutator > multiply > additive_inverse > add > additive_identity = x = y";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(associator(x,x,y),multiply(associator(x,x,y),associator(x,x,y))) add multiply(associator(x,x,y),multiply(associator(x,x,y),associator(x,x,y))) = 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 = { 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) =
% multiply(X,Y) add additive_inverse(multiply(X,Z)),
% multiply(additive_inverse(Y) add X,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)),
% 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)),
% 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)) }
% (19 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(associator(x,x,y),multiply(
% associator(x,x,y),
% associator(x,x,y))) add
% multiply(associator(x,x,y),multiply(
% associator(x,x,y),
% associator(x,x,y)))
% = 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: 16
% 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: 15
% 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: 14
% 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: 13
% 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: 12
% 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: 9
% 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: 8
% 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: 8
% Current number of rules: 8
% New rule produced :
% [9] commutator(X,Y) -> multiply(Y,X) add additive_inverse(multiply(X,Y))
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 9
% New rule produced :
% [10] 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: 10
% New rule produced :
% [11] 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: 11
% New rule produced :
% [12]
% 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: 12
% New rule produced :
% [13]
% 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: 13
% New rule produced :
% [14]
% associator(X,Y,Z) ->
% multiply(multiply(X,Y),Z) add additive_inverse(multiply(X,multiply(Y,Z)))
% The conjecture has been reduced.
% Conjecture is now:
% multiply(multiply(multiply(x,x),y),multiply(multiply(multiply(x,x),y),
% multiply(multiply(x,x),y))) add multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(x,x),y))) add
% additive_inverse(multiply(multiply(multiply(x,x),y),multiply(multiply(x,
% multiply(x,y)),
% multiply(multiply(x,x),y))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),
% multiply(multiply(x,multiply(x,y)),
% multiply(multiply(x,x),y))))) add additive_inverse(
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(x,x),y))) add
% additive_inverse(
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(x,x),y))))) add
% additive_inverse(multiply(multiply(multiply(x,x),y),multiply(multiply(
% multiply(x,x),y),
% multiply(x,multiply(x,y)))) add
% additive_inverse(multiply(multiply(multiply(x,x),y),
% multiply(multiply(x,multiply(x,y)),
% multiply(x,multiply(x,y)))) add additive_inverse(
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(x,
% multiply(x,y)))))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),
% multiply(multiply(multiply(x,x),y),
% multiply(x,multiply(x,y)))))) add additive_inverse(
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(x,
% multiply(x,y)))) add
% additive_inverse(
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(x,
% multiply(x,y)))) add
% additive_inverse(
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(x,
% multiply(x,y)))))) add
% additive_inverse(
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(x,
% multiply(x,y)))))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(
% multiply(x,x),y),
% multiply(multiply(x,x),y)))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(
% multiply(x,x),y),
% multiply(multiply(x,x),y)))) = additive_identity
%
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15] additive_inverse(additive_identity) -> additive_identity
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16] 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: 16
% New rule produced :
% [17]
% multiply(multiply(X,multiply(Y,Y)),Y) ->
% multiply(multiply(X,Y),multiply(Y,Y))
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18]
% additive_inverse(multiply(X,Y) add additive_inverse(multiply(X,Z))) ->
% multiply(X,Z) add additive_inverse(multiply(X,Y))
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19]
% additive_inverse(multiply(X,Y) add additive_inverse(multiply(Z,Y))) ->
% multiply(Z,Y) add additive_inverse(multiply(X,Y))
% The conjecture has been reduced.
% Conjecture is now:
% multiply(multiply(x,multiply(x,y)),multiply(multiply(x,multiply(x,y)),
% multiply(multiply(x,x),y))) add multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(x,x),y))) add
% multiply(multiply(multiply(x,x),y),multiply(multiply(multiply(x,x),y),
% multiply(multiply(x,x),y))) add multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(x,x),y))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(x,
% multiply(x,y)),
% multiply(x,multiply(x,y)))) add
% multiply(multiply(multiply(x,x),y),multiply(multiply(
% multiply(x,x),y),
% multiply(x,multiply(x,y)))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),
% multiply(multiply(multiply(x,x),y),
% multiply(x,multiply(x,y))))) add additive_inverse(
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(x,
% multiply(x,y)))))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(x,
% multiply(x,y)),
% multiply(x,multiply(x,y)))) add
% multiply(multiply(multiply(x,x),y),multiply(multiply(
% multiply(x,x),y),
% multiply(x,multiply(x,y)))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),
% multiply(multiply(multiply(x,x),y),
% multiply(x,multiply(x,y))))) add additive_inverse(
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(x,
% multiply(x,y)))))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(
% multiply(x,x),y),
% multiply(multiply(x,x),y)))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(
% multiply(x,x),y),
% multiply(multiply(x,x),y)))) add
% additive_inverse(multiply(multiply(multiply(x,x),y),multiply(multiply(x,
% multiply(x,y)),
% multiply(multiply(x,x),y)))) add
% additive_inverse(multiply(multiply(multiply(x,x),y),multiply(multiply(x,
% multiply(x,y)),
% multiply(multiply(x,x),y)))) = additive_identity
%
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% 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: 9
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21]
% 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: 8
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22] additive_inverse(additive_inverse(Y) add X) -> additive_inverse(X) add Y
% Rule
% [18]
% additive_inverse(multiply(X,Y) add additive_inverse(multiply(X,Z))) ->
% multiply(X,Z) add additive_inverse(multiply(X,Y)) collapsed.
% Rule
% [19]
% additive_inverse(multiply(X,Y) add additive_inverse(multiply(Z,Y))) ->
% multiply(Z,Y) add additive_inverse(multiply(X,Y)) collapsed.
% Rule
% [20]
% additive_inverse(additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(X,Z))) ->
% multiply(X,Y) add multiply(X,Z) collapsed.
% Rule
% [21]
% additive_inverse(additive_inverse(multiply(X,Y)) add additive_inverse(
% multiply(Z,Y))) ->
% multiply(X,Y) add multiply(Z,Y) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% multiply(multiply(x,multiply(x,y)),multiply(multiply(x,multiply(x,y)),
% multiply(multiply(x,x),y))) add multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(x,x),y))) add
% multiply(multiply(x,multiply(x,y)),multiply(multiply(multiply(x,x),y),
% multiply(x,multiply(x,y)))) add multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(x,
% multiply(x,y)))) add
% multiply(multiply(multiply(x,x),y),multiply(multiply(x,multiply(x,y)),
% multiply(x,multiply(x,y)))) add multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(x,
% multiply(x,y)))) add
% multiply(multiply(multiply(x,x),y),multiply(multiply(multiply(x,x),y),
% multiply(multiply(x,x),y))) add multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(x,x),y))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(x,
% multiply(x,y)),
% multiply(x,multiply(x,y)))) add
% multiply(multiply(multiply(x,x),y),multiply(multiply(
% multiply(x,x),y),
% multiply(x,multiply(x,y))))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(x,
% multiply(x,y)),
% multiply(x,multiply(x,y)))) add
% multiply(multiply(multiply(x,x),y),multiply(multiply(
% multiply(x,x),y),
% multiply(x,multiply(x,y))))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(
% multiply(x,x),y),
% multiply(multiply(x,x),y)))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(
% multiply(x,x),y),
% multiply(multiply(x,x),y)))) add
% additive_inverse(multiply(multiply(multiply(x,x),y),multiply(multiply(x,
% multiply(x,y)),
% multiply(multiply(x,x),y)))) add
% additive_inverse(multiply(multiply(multiply(x,x),y),multiply(multiply(x,
% multiply(x,y)),
% multiply(multiply(x,x),y)))) = additive_identity
%
% Current number of equations to process: 22
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [23] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% Rule
% [12]
% additive_inverse(multiply(X,Y) add multiply(X,Z)) ->
% additive_inverse(multiply(X,Y)) add additive_inverse(multiply(X,Z))
% collapsed.
% Rule
% [13]
% additive_inverse(multiply(X,Z) add multiply(Y,Z)) ->
% additive_inverse(multiply(X,Z)) add additive_inverse(multiply(Y,Z))
% collapsed.
% Rule [16] additive_inverse(X add Y) add Y -> additive_inverse(X) collapsed.
% Rule
% [22] additive_inverse(additive_inverse(Y) add X) -> additive_inverse(X) add Y
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% multiply(multiply(x,multiply(x,y)),multiply(multiply(x,multiply(x,y)),
% multiply(multiply(x,x),y))) add multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(x,x),y))) add
% multiply(multiply(x,multiply(x,y)),multiply(multiply(multiply(x,x),y),
% multiply(x,multiply(x,y)))) add multiply(
% multiply(x,
% multiply(x,y)),
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(x,
% multiply(x,y)))) add
% multiply(multiply(multiply(x,x),y),multiply(multiply(x,multiply(x,y)),
% multiply(x,multiply(x,y)))) add multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(x,
% multiply(x,y)),
% multiply(x,
% multiply(x,y)))) add
% multiply(multiply(multiply(x,x),y),multiply(multiply(multiply(x,x),y),
% multiply(multiply(x,x),y))) add multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(
% multiply(x,x),y),
% multiply(
% multiply(x,x),y))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(x,
% multiply(x,y)),
% multiply(x,multiply(x,y))))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(x,
% multiply(x,y)),
% multiply(x,multiply(x,y))))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(
% multiply(x,x),y),
% multiply(multiply(x,x),y)))) add
% additive_inverse(multiply(multiply(x,multiply(x,y)),multiply(multiply(
% multiply(x,x),y),
% multiply(multiply(x,x),y)))) add
% additive_inverse(multiply(multiply(multiply(x,x),y),multiply(multiply(x,
% multiply(x,y)),
% multiply(multiply(x,x),y)))) add
% additive_inverse(multiply(multiply(multiply(x,x),y),multiply(multiply(x,
% multiply(x,y)),
% multiply(multiply(x,x),y)))) add
% additive_inverse(multiply(multiply(multiply(x,x),y),multiply(multiply(
% multiply(x,x),y),
% multiply(x,multiply(x,y))))) add
% additive_inverse(multiply(multiply(multiply(x,x),y),multiply(multiply(
% multiply(x,x),y),
% multiply(x,multiply(x,y))))) = additive_identity
%
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [24]
% multiply(multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))),Y) ->
% multiply(multiply(X,Y),multiply(multiply(Y,Y),multiply(Y,Y)))
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [25]
% multiply(multiply(X,multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(
% multiply(Y,Y),
% multiply(Y,Y)))),Y)
% ->
% multiply(multiply(X,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(multiply(Y,Y),multiply(Y,Y))))
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [26]
% 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: 12
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [27]
% 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
% [26]
% 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: 46
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [28]
% multiply(multiply(X,Y),Z) add multiply(multiply(X,Z),Y) ->
% multiply(X,multiply(Y,Z)) add multiply(X,multiply(Z,Y))
% Rule
% [27]
% 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: 88
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [29]
% 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: 112
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [30]
% multiply(multiply(X,Y),Z) <->
% multiply(X,multiply(Y,Z)) add multiply(X,multiply(Z,Y)) add additive_inverse(
% multiply(
% multiply(X,Z),Y))
% Rule
% [17]
% multiply(multiply(X,multiply(Y,Y)),Y) ->
% multiply(multiply(X,Y),multiply(Y,Y)) collapsed.
% Rule
% [24]
% multiply(multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))),Y) ->
% multiply(multiply(X,Y),multiply(multiply(Y,Y),multiply(Y,Y))) collapsed.
% Rule
% [25]
% multiply(multiply(X,multiply(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(
% multiply(Y,Y),
% multiply(Y,Y)))),Y)
% ->
% multiply(multiply(X,Y),multiply(multiply(multiply(Y,Y),multiply(Y,Y)),
% multiply(multiply(Y,Y),multiply(Y,Y)))) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% multiply(multiply(x,multiply(y,x)),multiply(multiply(x,multiply(y,x)),
% multiply(x,multiply(y,x)))) add multiply(
% multiply(x,
% multiply(y,x)),
% multiply(
% multiply(x,
% multiply(y,x)),
% multiply(x,
% multiply(y,x)))) add
% multiply(multiply(x,multiply(y,x)),multiply(multiply(multiply(x,y),x),
% multiply(multiply(x,y),x))) add multiply(
% multiply(x,
% multiply(y,x)),
% multiply(
% multiply(
% multiply(x,y),x),
% multiply(
% multiply(x,y),x))) add
% multiply(multiply(multiply(x,y),x),multiply(multiply(x,multiply(y,x)),
% multiply(multiply(x,y),x))) add multiply(
% multiply(
% multiply(x,y),x),
% multiply(
% multiply(x,
% multiply(y,x)),
% multiply(
% multiply(x,y),x))) add
% multiply(multiply(multiply(x,y),x),multiply(multiply(multiply(x,y),x),
% multiply(x,multiply(y,x)))) add multiply(
% multiply(
% multiply(x,y),x),
% multiply(
% multiply(
% multiply(x,y),x),
% multiply(x,
% multiply(y,x)))) add
% additive_inverse(multiply(multiply(x,multiply(y,x)),multiply(multiply(x,
% multiply(y,x)),
% multiply(multiply(x,y),x)))) add
% additive_inverse(multiply(multiply(x,multiply(y,x)),multiply(multiply(x,
% multiply(y,x)),
% multiply(multiply(x,y),x)))) add
% additive_inverse(multiply(multiply(x,multiply(y,x)),multiply(multiply(
% multiply(x,y),x),
% multiply(x,multiply(y,x))))) add
% additive_inverse(multiply(multiply(x,multiply(y,x)),multiply(multiply(
% multiply(x,y),x),
% multiply(x,multiply(y,x))))) add
% additive_inverse(multiply(multiply(multiply(x,y),x),multiply(multiply(x,
% multiply(y,x)),
% multiply(x,multiply(y,x))))) add
% additive_inverse(multiply(multiply(multiply(x,y),x),multiply(multiply(x,
% multiply(y,x)),
% multiply(x,multiply(y,x))))) add
% additive_inverse(multiply(multiply(multiply(x,y),x),multiply(multiply(
% multiply(x,y),x),
% multiply(multiply(x,y),x)))) add
% additive_inverse(multiply(multiply(multiply(x,y),x),multiply(multiply(
% multiply(x,y),x),
% multiply(multiply(x,y),x)))) = additive_identity
%
% Current number of equations to process: 121
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [31]
% multiply(X,multiply(Y,Z)) add multiply(X,multiply(Z,Y)) add additive_inverse(
% multiply(
% multiply(X,Z),Y))
% <-> multiply(multiply(X,Y),Z)
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [32]
% multiply(multiply(X,Y),Z) add additive_inverse(multiply(X,multiply(Z,Y))) <->
% multiply(X,multiply(Y,Z)) add additive_inverse(multiply(multiply(X,Z),Y))
% Current number of equations to process: 166
% Current number of ordered equations: 3
% Current number of rules: 19
% New rule produced :
% [33]
% multiply(X,multiply(Y,Z)) add additive_inverse(multiply(multiply(X,Y),Z)) <->
% multiply(multiply(X,Z),Y) add additive_inverse(multiply(X,multiply(Z,Y)))
% Current number of equations to process: 166
% Current number of ordered equations: 2
% Current number of rules: 20
% New rule produced :
% [34]
% multiply(X,multiply(Y,Z)) add additive_inverse(multiply(multiply(X,Z),Y)) <->
% multiply(multiply(X,Y),Z) add additive_inverse(multiply(X,multiply(Z,Y)))
% Current number of equations to process: 166
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [35]
% multiply(multiply(X,Z),Y) add additive_inverse(multiply(X,multiply(Z,Y))) <->
% multiply(X,multiply(Y,Z)) add additive_inverse(multiply(multiply(X,Y),Z))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [36]
% additive_inverse(multiply(multiply(X,Y),Z)) <->
% multiply(multiply(X,Z),Y) add additive_inverse(multiply(X,multiply(Y,Z))) add
% additive_inverse(multiply(X,multiply(Z,Y)))
% Current number of equations to process: 328
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [37]
% multiply(multiply(X,Z),Y) add additive_inverse(multiply(X,multiply(Y,Z))) add
% additive_inverse(multiply(X,multiply(Z,Y))) <->
% additive_inverse(multiply(multiply(X,Y),Z))
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [38]
% 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: 402
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [39]
% 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: 437
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [40]
% 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: 455
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [41]
% 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: 512
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [42]
% multiply(multiply(multiply(X,Y),Z),V_3) add additive_inverse(multiply(
% multiply(X,
% multiply(Z,Y)),V_3))
% <->
% multiply(multiply(X,multiply(Y,Z)),V_3) add additive_inverse(multiply(
% multiply(
% multiply(X,Z),Y),V_3))
% Current number of equations to process: 551
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [43]
% multiply(multiply(X,multiply(Y,Z)),V_3) add additive_inverse(multiply(
% multiply(
% multiply(X,Z),Y),V_3))
% <->
% multiply(multiply(multiply(X,Y),Z),V_3) add additive_inverse(multiply(
% multiply(X,
% multiply(Z,Y)),V_3))
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [44]
% multiply(multiply(X,Y),multiply(Y,Z)) add additive_inverse(multiply(multiply(
% multiply(X,Y),Z),Y))
% ->
% multiply(multiply(X,multiply(Y,Y)),Z) add additive_inverse(multiply(multiply(X,Y),
% multiply(Z,Y)))
% Current number of equations to process: 740
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [45]
% multiply(X,multiply(multiply(Y,Z),V_3)) add additive_inverse(multiply(X,
% multiply(Y,
% multiply(V_3,Z))))
% <->
% multiply(X,multiply(Y,multiply(Z,V_3))) add additive_inverse(multiply(X,
% multiply(
% multiply(Y,V_3),Z)))
% Current number of equations to process: 787
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [46]
% multiply(X,multiply(Y,multiply(Z,V_3))) add additive_inverse(multiply(X,
% multiply(
% multiply(Y,V_3),Z)))
% <->
% multiply(X,multiply(multiply(Y,Z),V_3)) add additive_inverse(multiply(X,
% multiply(Y,
% multiply(V_3,Z))))
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [47]
% multiply(multiply(multiply(X,Y),Z),V_3) add additive_inverse(multiply(
% multiply(X,
% multiply(Y,Z)),V_3))
% <->
% multiply(multiply(X,multiply(Z,Y)),V_3) add additive_inverse(multiply(
% multiply(
% multiply(X,Z),Y),V_3))
% Current number of equations to process: 1007
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [48]
% multiply(multiply(X,multiply(Z,Y)),V_3) add additive_inverse(multiply(
% multiply(
% multiply(X,Z),Y),V_3))
% <->
% multiply(multiply(multiply(X,Y),Z),V_3) add additive_inverse(multiply(
% multiply(X,
% multiply(Y,Z)),V_3))
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [49]
% multiply(multiply(multiply(X,Y),Z),Y) add additive_inverse(multiply(multiply(X,Y),
% multiply(Z,Y))) ->
% multiply(multiply(X,Y),multiply(Y,Z)) add additive_inverse(multiply(multiply(X,
% multiply(Y,Y)),Z))
% Current number of equations to process: 1241
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [50]
% multiply(X,multiply(multiply(Y,Z),V_3)) add additive_inverse(multiply(X,
% multiply(Y,
% multiply(Z,V_3))))
% <->
% multiply(X,multiply(Y,multiply(V_3,Z))) add additive_inverse(multiply(X,
% multiply(
% multiply(Y,V_3),Z)))
% Current number of equations to process: 1297
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [51]
% multiply(X,multiply(Y,multiply(V_3,Z))) add additive_inverse(multiply(X,
% multiply(
% multiply(Y,V_3),Z)))
% <->
% multiply(X,multiply(multiply(Y,Z),V_3)) add additive_inverse(multiply(X,
% multiply(Y,
% multiply(Z,V_3))))
% Current number of equations to process: 1297
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [52]
% multiply(multiply(multiply(X,Y),Z),Y) add additive_inverse(multiply(multiply(X,Y),
% multiply(Y,Z))) ->
% multiply(multiply(X,Y),multiply(Z,Y)) add additive_inverse(multiply(multiply(X,
% multiply(Y,Y)),Z))
% Current number of equations to process: 1567
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [53]
% multiply(multiply(X,Y),multiply(Z,Y)) add additive_inverse(multiply(multiply(
% multiply(X,Y),Z),Y))
% ->
% multiply(multiply(X,multiply(Y,Y)),Z) add additive_inverse(multiply(multiply(X,Y),
% multiply(Y,Z)))
% Current number of equations to process: 1628
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [54]
% 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: 1682
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [55]
% 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: 1729
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [56]
% 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: 1754
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [57]
% 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: 1831
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [58]
% multiply(X,multiply(Y,multiply(Y,Y))) add multiply(X,multiply(Y,multiply(Y,Y))) add
% additive_inverse(multiply(multiply(X,Y),multiply(Y,Y))) ->
% multiply(multiply(X,Y),multiply(Y,Y))
% Current number of equations to process: 1878
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [59]
% multiply(X,multiply(Y,multiply(Y,Y))) add additive_inverse(multiply(multiply(X,Y),
% multiply(Y,Y))) ->
% multiply(multiply(X,Y),multiply(Y,Y)) add additive_inverse(multiply(X,
% multiply(Y,
% multiply(Y,Y))))
% Rule
% [58]
% multiply(X,multiply(Y,multiply(Y,Y))) add multiply(X,multiply(Y,multiply(Y,Y))) add
% additive_inverse(multiply(multiply(X,Y),multiply(Y,Y))) ->
% multiply(multiply(X,Y),multiply(Y,Y)) collapsed.
% Current number of equations to process: 1905
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [60]
% multiply(multiply(multiply(X,Y),Z),V_3) <->
% multiply(multiply(X,multiply(Y,Z)),V_3) add multiply(multiply(X,multiply(Z,Y)),V_3) add
% additive_inverse(multiply(multiply(multiply(X,Z),Y),V_3))
% Current number of equations to process: 1958
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [61]
% multiply(multiply(X,multiply(Y,Z)),V_3) add multiply(multiply(X,multiply(Z,Y)),V_3) add
% additive_inverse(multiply(multiply(multiply(X,Z),Y),V_3)) <->
% multiply(multiply(multiply(X,Y),Z),V_3)
% Current number of equations to process: 1958
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [62]
% multiply(multiply(multiply(X,Y),Z),Y) ->
% multiply(multiply(X,Y),multiply(Y,Z)) add multiply(multiply(X,Y),multiply(Z,Y)) add
% additive_inverse(multiply(multiply(X,multiply(Y,Y)),Z))
% Rule
% [40]
% 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))
% collapsed.
% Rule
% [44]
% multiply(multiply(X,Y),multiply(Y,Z)) add additive_inverse(multiply(multiply(
% multiply(X,Y),Z),Y))
% ->
% multiply(multiply(X,multiply(Y,Y)),Z) add additive_inverse(multiply(multiply(X,Y),
% multiply(Z,Y)))
% collapsed.
% Rule
% [49]
% multiply(multiply(multiply(X,Y),Z),Y) add additive_inverse(multiply(multiply(X,Y),
% multiply(Z,Y))) ->
% multiply(multiply(X,Y),multiply(Y,Z)) add additive_inverse(multiply(multiply(X,
% multiply(Y,Y)),Z))
% collapsed.
% Rule
% [52]
% multiply(multiply(multiply(X,Y),Z),Y) add additive_inverse(multiply(multiply(X,Y),
% multiply(Y,Z))) ->
% multiply(multiply(X,Y),multiply(Z,Y)) add additive_inverse(multiply(multiply(X,
% multiply(Y,Y)),Z))
% collapsed.
% Rule
% [53]
% multiply(multiply(X,Y),multiply(Z,Y)) add additive_inverse(multiply(multiply(
% multiply(X,Y),Z),Y))
% ->
% multiply(multiply(X,multiply(Y,Y)),Z) add additive_inverse(multiply(multiply(X,Y),
% multiply(Y,Z)))
% collapsed.
% Rule
% [56]
% 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)))
% collapsed.
% Current number of equations to process: 2462
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [63]
% multiply(X,multiply(multiply(Y,Z),V_3)) <->
% multiply(X,multiply(Y,multiply(Z,V_3))) add multiply(X,multiply(Y,multiply(V_3,Z))) add
% additive_inverse(multiply(X,multiply(multiply(Y,V_3),Z)))
% Current number of equations to process: 2588
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [64]
% multiply(X,multiply(Y,multiply(Z,V_3))) add multiply(X,multiply(Y,multiply(V_3,Z))) add
% additive_inverse(multiply(X,multiply(multiply(Y,V_3),Z))) <->
% multiply(X,multiply(multiply(Y,Z),V_3))
% Current number of equations to process: 2588
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [65]
% multiply(multiply(multiply(X,multiply(Y,Y)),Z),Y) add multiply(multiply(
% multiply(X,Y),
% multiply(Y,Y)),Z)
% ->
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,Z)) add multiply(multiply(X,
% multiply(Y,Y)),
% multiply(Z,Y))
% Current number of equations to process: 3025
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [66]
% multiply(multiply(multiply(multiply(X,Y),Z),V_3),V_4) add multiply(multiply(
% multiply(
% multiply(X,Z),Y),V_3),V_4)
% ->
% multiply(multiply(multiply(X,multiply(Y,Z)),V_3),V_4) add multiply(multiply(
% multiply(X,
% multiply(Z,Y)),V_3),V_4)
% Current number of equations to process: 3148
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [67]
% multiply(X,multiply(multiply(multiply(Y,Z),V_3),V_4)) add multiply(X,
% multiply(multiply(
% multiply(Y,V_3),Z),V_4))
% ->
% multiply(X,multiply(multiply(Y,multiply(Z,V_3)),V_4)) add multiply(X,
% multiply(multiply(Y,
% multiply(V_3,Z)),V_4))
% Current number of equations to process: 3251
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [68]
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),Z) add multiply(multiply(
% multiply(X,Y),
% multiply(Y,Y)),Z)
% ->
% multiply(multiply(X,multiply(Y,multiply(Y,Y))),Z) add multiply(multiply(X,
% multiply(Y,
% multiply(Y,Y))),Z)
% Current number of equations to process: 3342
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [69]
% multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))) add multiply(X,multiply(
% multiply(Y,Y),
% multiply(Y,Y)))
% <->
% multiply(multiply(X,Y),multiply(Y,multiply(Y,Y))) add multiply(multiply(X,Y),
% multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 3416
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [70]
% multiply(multiply(X,Y),multiply(Y,multiply(Y,Y))) add multiply(multiply(X,Y),
% multiply(Y,multiply(Y,Y)))
% <->
% multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))) add multiply(X,multiply(
% multiply(Y,Y),
% multiply(Y,Y)))
% Current number of equations to process: 3416
% Current number of ordered equations: 0
% Current number of rules: 50
% Rule [70]
% multiply(multiply(X,Y),multiply(Y,multiply(Y,Y))) add multiply(multiply(X,Y),
% multiply(Y,
% multiply(Y,Y)))
% <->
% multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))) add multiply(X,
% multiply(multiply(Y,Y),
% multiply(Y,Y))) is composed into
% [70]
% multiply(multiply(X,Y),multiply(Y,multiply(Y,Y))) add multiply(multiply(X,Y),
% multiply(Y,multiply(Y,Y)))
% ->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,Y)))) add multiply(X,multiply(Y,
% multiply(Y,
% multiply(Y,Y))))
% New rule produced :
% [71]
% multiply(X,multiply(multiply(Y,Z),multiply(Z,Z))) add multiply(X,multiply(
% multiply(Y,Z),
% multiply(Z,Z)))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,Z)))) add multiply(X,multiply(Y,
% multiply(Z,
% multiply(Z,Z))))
% Rule
% [69]
% multiply(X,multiply(multiply(Y,Y),multiply(Y,Y))) add multiply(X,multiply(
% multiply(Y,Y),
% multiply(Y,Y)))
% <->
% multiply(multiply(X,Y),multiply(Y,multiply(Y,Y))) add multiply(multiply(X,Y),
% multiply(Y,multiply(Y,Y)))
% collapsed.
% Current number of equations to process: 3598
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [72]
% multiply(multiply(X,multiply(multiply(Y,Z),V_3)),V_4) add multiply(multiply(X,
% multiply(
% multiply(Y,V_3),Z)),V_4)
% ->
% multiply(multiply(X,multiply(Y,multiply(Z,V_3))),V_4) add multiply(multiply(X,
% multiply(Y,
% multiply(V_3,Z))),V_4)
% Current number of equations to process: 3669
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [73]
% multiply(X,multiply(Y,multiply(multiply(Z,V_3),V_4))) add multiply(X,
% multiply(Y,
% multiply(multiply(Z,V_4),V_3)))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,V_4)))) add multiply(X,
% multiply(Y,
% multiply(Z,
% multiply(V_4,V_3))))
% Current number of equations to process: 3790
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [74]
% additive_inverse(multiply(X,multiply(multiply(Y,V_3),Z))) <->
% multiply(X,multiply(multiply(Y,Z),V_3)) add 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: 3884
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [75]
% multiply(X,multiply(multiply(Y,Z),V_3)) add additive_inverse(multiply(X,
% multiply(Y,
% multiply(Z,V_3)))) add
% additive_inverse(multiply(X,multiply(Y,multiply(V_3,Z)))) <->
% additive_inverse(multiply(X,multiply(multiply(Y,V_3),Z)))
% Current number of equations to process: 3884
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [76]
% additive_inverse(multiply(multiply(multiply(X,Z),Y),V_3)) <->
% multiply(multiply(multiply(X,Y),Z),V_3) add 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: 4185
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [77]
% multiply(multiply(multiply(X,Y),Z),V_3) add additive_inverse(multiply(
% multiply(X,
% multiply(Y,Z)),V_3)) add
% additive_inverse(multiply(multiply(X,multiply(Z,Y)),V_3)) <->
% additive_inverse(multiply(multiply(multiply(X,Z),Y),V_3))
% Current number of equations to process: 4185
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [78]
% additive_inverse(multiply(multiply(X,Y),multiply(Y,Y))) ->
% multiply(multiply(X,Y),multiply(Y,Y)) add additive_inverse(multiply(X,
% multiply(Y,
% multiply(Y,Y)))) add
% additive_inverse(multiply(X,multiply(Y,multiply(Y,Y))))
% Rule
% [55]
% 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))))
% collapsed.
% Rule
% [59]
% multiply(X,multiply(Y,multiply(Y,Y))) add additive_inverse(multiply(multiply(X,Y),
% multiply(Y,Y))) ->
% multiply(multiply(X,Y),multiply(Y,Y)) add additive_inverse(multiply(X,
% multiply(Y,
% multiply(Y,Y))))
% collapsed.
% Current number of equations to process: 4505
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [79]
% multiply(multiply(multiply(multiply(X,Y),Z),V_3),V_4) add additive_inverse(
% multiply(multiply(
% multiply(X,
% multiply(Z,Y)),V_3),V_4))
% <->
% multiply(multiply(multiply(X,multiply(Y,Z)),V_3),V_4) add additive_inverse(
% multiply(multiply(
% multiply(
% multiply(X,Z),Y),V_3),V_4))
% Current number of equations to process: 4507
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [80]
% multiply(multiply(multiply(X,multiply(Y,Z)),V_3),V_4) add additive_inverse(
% multiply(multiply(
% multiply(
% multiply(X,Z),Y),V_3),V_4))
% <->
% multiply(multiply(multiply(multiply(X,Y),Z),V_3),V_4) add additive_inverse(
% multiply(multiply(
% multiply(X,
% multiply(Z,Y)),V_3),V_4))
% Current number of equations to process: 4507
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [81]
% multiply(multiply(X,multiply(Y,Z)),multiply(Z,Y)) add additive_inverse(
% multiply(multiply(
% multiply(X,Z),Y),
% multiply(Z,Y))) <->
% multiply(multiply(multiply(X,Y),Z),multiply(Z,Y)) add additive_inverse(
% multiply(X,multiply(
% multiply(Z,Y),
% multiply(Z,Y))))
% Current number of equations to process: 3029
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [82]
% multiply(multiply(multiply(X,Y),Z),multiply(Z,Y)) add additive_inverse(
% multiply(X,multiply(
% multiply(Z,Y),
% multiply(Z,Y))))
% <->
% multiply(multiply(X,multiply(Y,Z)),multiply(Z,Y)) add additive_inverse(
% multiply(multiply(
% multiply(X,Z),Y),
% multiply(Z,Y)))
% Current number of equations to process: 3029
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [83]
% multiply(X,multiply(multiply(multiply(Y,Z),V_3),V_4)) add additive_inverse(
% multiply(X,
% multiply(multiply(Y,
% multiply(V_3,Z)),V_4)))
% <->
% multiply(X,multiply(multiply(Y,multiply(Z,V_3)),V_4)) add additive_inverse(
% multiply(X,
% multiply(multiply(
% multiply(Y,V_3),Z),V_4)))
% Current number of equations to process: 3374
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [84]
% multiply(X,multiply(multiply(Y,multiply(Z,V_3)),V_4)) add additive_inverse(
% multiply(X,
% multiply(multiply(
% multiply(Y,V_3),Z),V_4)))
% <->
% multiply(X,multiply(multiply(multiply(Y,Z),V_3),V_4)) add additive_inverse(
% multiply(X,
% multiply(multiply(Y,
% multiply(V_3,Z)),V_4)))
% Current number of equations to process: 3374
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [85]
% multiply(X,multiply(multiply(Y,Z),multiply(Y,Z))) add additive_inverse(
% multiply(multiply(
% multiply(X,Z),Y),
% multiply(Y,Z))) <->
% multiply(multiply(multiply(X,Y),Z),multiply(Y,Z)) add additive_inverse(
% multiply(multiply(X,
% multiply(Z,Y)),
% multiply(Y,Z)))
% Current number of equations to process: 3926
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [86]
% multiply(multiply(multiply(X,Y),Z),multiply(Y,Z)) add additive_inverse(
% multiply(multiply(X,
% multiply(Z,Y)),
% multiply(Y,Z))) <->
% multiply(X,multiply(multiply(Y,Z),multiply(Y,Z))) add additive_inverse(
% multiply(multiply(
% multiply(X,Z),Y),
% multiply(Y,Z)))
% Current number of equations to process: 3926
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [87]
% multiply(multiply(X,multiply(Y,Y)),multiply(Y,Z)) add additive_inverse(
% multiply(multiply(
% multiply(X,
% multiply(Y,Y)),Z),Y))
% ->
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),Z) add additive_inverse(
% multiply(multiply(X,
% multiply(Y,Y)),
% multiply(Z,Y)))
% Current number of equations to process: 4304
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [88]
% multiply(multiply(X,multiply(multiply(Y,Z),V_3)),V_4) add additive_inverse(
% multiply(multiply(X,
% multiply(Y,
% multiply(V_3,Z))),V_4))
% <->
% multiply(multiply(X,multiply(Y,multiply(Z,V_3))),V_4) add additive_inverse(
% multiply(multiply(X,
% multiply(
% multiply(Y,V_3),Z)),V_4))
% Current number of equations to process: 4459
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [89]
% multiply(multiply(X,multiply(Y,multiply(Z,V_3))),V_4) add additive_inverse(
% multiply(multiply(X,
% multiply(
% multiply(Y,V_3),Z)),V_4))
% <->
% multiply(multiply(X,multiply(multiply(Y,Z),V_3)),V_4) add additive_inverse(
% multiply(multiply(X,
% multiply(Y,
% multiply(V_3,Z))),V_4))
% Current number of equations to process: 4459
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [90]
% multiply(X,multiply(Y,multiply(multiply(Z,V_3),V_4))) add additive_inverse(
% multiply(X,
% multiply(Y,
% multiply(Z,
% multiply(V_4,V_3)))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,V_4)))) add additive_inverse(
% multiply(X,
% multiply(Y,
% multiply(multiply(Z,V_4),V_3))))
% Current number of equations to process: 2352
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [91]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,V_4)))) add additive_inverse(
% multiply(X,
% multiply(Y,
% multiply(multiply(Z,V_4),V_3))))
% <->
% multiply(X,multiply(Y,multiply(multiply(Z,V_3),V_4))) add additive_inverse(
% multiply(X,
% multiply(Y,
% multiply(Z,
% multiply(V_4,V_3)))))
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [92]
% multiply(multiply(multiply(multiply(X,Z),Y),V_3),V_4) add additive_inverse(
% multiply(multiply(
% multiply(X,
% multiply(Z,Y)),V_3),V_4))
% <->
% multiply(multiply(multiply(X,multiply(Y,Z)),V_3),V_4) add additive_inverse(
% multiply(multiply(
% multiply(
% multiply(X,Y),Z),V_3),V_4))
% Current number of equations to process: 2982
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [93]
% multiply(multiply(multiply(X,multiply(Y,Z)),V_3),V_4) add additive_inverse(
% multiply(multiply(
% multiply(
% multiply(X,Y),Z),V_3),V_4))
% <->
% multiply(multiply(multiply(multiply(X,Z),Y),V_3),V_4) add additive_inverse(
% multiply(multiply(
% multiply(X,
% multiply(Z,Y)),V_3),V_4))
% Current number of equations to process: 2982
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [94]
% multiply(multiply(X,multiply(Z,Y)),multiply(Y,Z)) add additive_inverse(
% multiply(multiply(
% multiply(X,Z),Y),
% multiply(Y,Z))) <->
% multiply(multiply(multiply(X,Y),Z),multiply(Y,Z)) add additive_inverse(
% multiply(X,multiply(
% multiply(Y,Z),
% multiply(Y,Z))))
% Current number of equations to process: 3624
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [95]
% multiply(multiply(multiply(X,Y),Z),multiply(Y,Z)) add additive_inverse(
% multiply(X,multiply(
% multiply(Y,Z),
% multiply(Y,Z))))
% <->
% multiply(multiply(X,multiply(Z,Y)),multiply(Y,Z)) add additive_inverse(
% multiply(multiply(
% multiply(X,Z),Y),
% multiply(Y,Z)))
% Current number of equations to process: 3624
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [96]
% multiply(X,multiply(multiply(multiply(Y,V_3),Z),V_4)) add additive_inverse(
% multiply(X,
% multiply(multiply(Y,
% multiply(V_3,Z)),V_4)))
% <->
% multiply(X,multiply(multiply(Y,multiply(Z,V_3)),V_4)) add additive_inverse(
% multiply(X,
% multiply(multiply(
% multiply(Y,Z),V_3),V_4)))
% Current number of equations to process: 4094
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [97]
% multiply(X,multiply(multiply(Y,multiply(Z,V_3)),V_4)) add additive_inverse(
% multiply(X,
% multiply(multiply(
% multiply(Y,Z),V_3),V_4)))
% <->
% multiply(X,multiply(multiply(multiply(Y,V_3),Z),V_4)) add additive_inverse(
% multiply(X,
% multiply(multiply(Y,
% multiply(V_3,Z)),V_4)))
% Current number of equations to process: 4094
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [98]
% multiply(X,multiply(multiply(Y,Z),multiply(Y,Z))) add additive_inverse(
% multiply(multiply(
% Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------