TSTP Solution File: RNG009-5 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : RNG009-5 : TPTP v6.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n150.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:31:40 EDT 2014
% Result : Timeout 300.03s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : RNG009-5 : TPTP v6.0.0. Released v1.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n150.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 16:28:58 CDT 2014
% % CPUTime : 300.03
% Processing problem /tmp/CiME_49112_n150.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " add : AC; b,a,additive_identity : constant; multiply : 2; additive_inverse : 1;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z));
% X add additive_identity = X;
% X add additive_inverse(X) = additive_identity;
% multiply(X,Y add Z) = multiply(X,Y) add multiply(X,Z);
% multiply(X add Y,Z) = multiply(X,Z) add multiply(Y,Z);
% multiply(X,multiply(X,X)) = X;
% ";
%
% let s1 = status F "
% b lr_lex;
% a lr_lex;
% additive_inverse lr_lex;
% additive_identity lr_lex;
% multiply mul;
% add mul;
% ";
%
% let p1 = precedence F "
% additive_inverse > multiply > add > additive_identity > a > b";
%
% let s2 = status F "
% b mul;
% a mul;
% multiply mul;
% additive_inverse mul;
% add mul;
% additive_identity mul;
% ";
%
% let p2 = precedence F "
% additive_inverse > multiply > add > additive_identity = a = b";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(a,b) = multiply(b,a);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { multiply(multiply(X,Y),Z) =
% multiply(X,multiply(Y,Z)),
% additive_identity add X = X,
% additive_inverse(X) add X = additive_identity,
% multiply(X,Y add Z) =
% multiply(X,Y) add multiply(X,Z),
% multiply(X add Y,Z) =
% multiply(X,Z) add multiply(Y,Z),
% multiply(X,multiply(X,X)) = X } (6 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(a,b) = multiply(b,a) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] additive_identity add X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 1
% New rule produced : [2] additive_inverse(X) add X -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 2
% New rule produced : [3] multiply(X,multiply(X,X)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 3
% New rule produced :
% [4] multiply(multiply(X,Y),Z) -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 4
% New rule produced :
% [5] multiply(X,Y add Z) -> multiply(X,Y) add multiply(X,Z)
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced :
% [6] multiply(X add Y,Z) -> multiply(X,Z) add multiply(Y,Z)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] additive_inverse(additive_inverse(X)) -> X
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8] additive_inverse(additive_identity) -> additive_identity
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9] 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: 9
% New rule produced :
% [10] multiply(X,multiply(X,multiply(X,Y))) -> multiply(X,Y)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11] multiply(X,additive_identity) add multiply(X,Y) -> multiply(X,Y)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12] multiply(additive_identity,Y) add multiply(X,Y) -> multiply(X,Y)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% Rule [9] additive_inverse(X add Y) add Y -> additive_inverse(X) collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [14] multiply(X,additive_identity) -> additive_identity
% Rule [11] multiply(X,additive_identity) add multiply(X,Y) -> multiply(X,Y)
% collapsed.
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [15] multiply(additive_identity,X) -> additive_identity
% Rule [12] multiply(additive_identity,Y) add multiply(X,Y) -> multiply(X,Y)
% collapsed.
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [16] multiply(X,additive_inverse(Y)) add multiply(X,Y) -> additive_identity
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [17] multiply(X,additive_inverse(Y)) -> additive_inverse(multiply(X,Y))
% Rule
% [16] multiply(X,additive_inverse(Y)) add multiply(X,Y) -> additive_identity
% collapsed.
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [18]
% additive_inverse(multiply(additive_inverse(X),multiply(additive_inverse(X),X)))
% -> additive_inverse(X)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [19]
% multiply(additive_inverse(multiply(X,Y)),Z) ->
% multiply(X,multiply(additive_inverse(Y),Z))
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [20] multiply(additive_inverse(X),multiply(additive_inverse(X),X)) -> X
% Rule
% [18]
% additive_inverse(multiply(additive_inverse(X),multiply(additive_inverse(X),X)))
% -> additive_inverse(X) collapsed.
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [21] multiply(additive_inverse(Y),X) add multiply(Y,X) -> additive_identity
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [22] multiply(additive_inverse(X),Y) -> additive_inverse(multiply(X,Y))
% Rule
% [19]
% multiply(additive_inverse(multiply(X,Y)),Z) ->
% multiply(X,multiply(additive_inverse(Y),Z)) collapsed.
% Rule [20] multiply(additive_inverse(X),multiply(additive_inverse(X),X)) -> X
% collapsed.
% Rule
% [21] multiply(additive_inverse(Y),X) add multiply(Y,X) -> additive_identity
% collapsed.
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [23]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,Y))))) ->
% multiply(X,Y)
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [24]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,Z)))))) ->
% multiply(X,multiply(Y,Z))
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [25]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(X,
% multiply(Y,Z))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [26]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,Y)))))))
% -> multiply(X,Y)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [27]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))))))
% -> multiply(X,Y)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [28]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,X)))))) ->
% multiply(X,multiply(Y,multiply(X,multiply(Y,X))))
% Rule
% [26]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,Y)))))))
% -> multiply(X,Y) collapsed.
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [29]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Z))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [30]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,Z))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [31]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,Z)))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,Z)))))
% Rule
% [27]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))))))
% -> multiply(X,Y) collapsed.
% Rule
% [29]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Z))))))))
% -> multiply(X,multiply(Y,Z)) collapsed.
% Rule
% [30]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,Z))))))))
% -> multiply(X,multiply(Y,Z)) collapsed.
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [32]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [33]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(X,multiply(Y,multiply(Z,
% multiply(X,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [34]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(Z,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [35]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,
% multiply(X,Y)))))))))
% -> multiply(X,Y)
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [36]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [37]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,X))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,X))))))
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [38]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,
% multiply(X,Y)))))))))))
% -> multiply(X,Y)
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [39]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,X)))))))
% -> multiply(X,multiply(Y,multiply(Y,X)))
% Rule
% [38]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,
% multiply(X,Y)))))))))))
% -> multiply(X,Y) collapsed.
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [40]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,X))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,X)))))
% Current number of equations to process: 96
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [41]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,X))))) <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,X)))))
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [42]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,Z)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,Z))))))
% Current number of equations to process: 101
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [43]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,Z)))))) <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,Z))))))
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [44]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,X))))))))
% -> multiply(X,multiply(Y,X))
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [45]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,
% multiply(X,Z))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,Z))))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [46]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Z)))))))))
% -> multiply(X,multiply(Y,multiply(X,Z)))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [47]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,Y)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Y)))))))
% Current number of equations to process: 145
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [48]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Y)))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,Y)))))))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [49]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,X)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,X)))))))
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [50]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,X)))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,X)))))))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [51]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,Y)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,Y))))))))
% Current number of equations to process: 183
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [52]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,Y))))))))
% <-> multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,Y))))))
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [53]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(X,
% multiply(Y,X)))))))))
% -> multiply(X,multiply(Y,multiply(Y,X)))
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [54]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,Y)))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))))))
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [55]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,Y)))))))
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [56]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,X))))))
% Current number of equations to process: 207
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [57]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,X))))))
% Current number of equations to process: 207
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [58]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,X)))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,X)))))
% Rule
% [35]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,
% multiply(X,Y)))))))))
% -> multiply(X,Y) collapsed.
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [59]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Y)))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))))))
% Current number of equations to process: 210
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [60]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Y)))))))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [61]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,Z)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Z)))))))
% Rule
% [49]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,X)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,X)))))))
% collapsed.
% Rule
% [60]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Y)))))))
% collapsed.
% Current number of equations to process: 234
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [62]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Z)))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,Z)))))))
% Rule
% [50]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,X)))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,X)))))))
% collapsed.
% Rule
% [59]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Y)))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))))))
% collapsed.
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 44
% Rule [51]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,Y))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Y)))))))) is composed into
% [51]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,Y)))))) <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Y))))))
% New rule produced :
% [63]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,Y))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Y))))))
% Rule
% [52]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,Y))))))))
% <-> multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,Y))))))
% collapsed.
% Rule
% [53]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(X,
% multiply(Y,X)))))))))
% -> multiply(X,multiply(Y,multiply(Y,X))) collapsed.
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [64]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,Z))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Z))))))
% Rule
% [36]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,Z)) collapsed.
% Rule
% [37]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,X))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,X))))))
% collapsed.
% Rule
% [63]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,
% multiply(X,Y))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,Y))))))
% collapsed.
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [65]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,Y)))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,Y)))))
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [66]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Y)))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,Y)))))
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [67]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,
% multiply(X,Y)))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,Y)))))
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [68]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Y)))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,Y)))))
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [69]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(Z,
% multiply(X,Y))))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(X,Y))))))))
% Current number of equations to process: 349
% Current number of ordered equations: 3
% Current number of rules: 46
% New rule produced :
% [70]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(Y,
% multiply(Z,X))))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,X))))))))
% Current number of equations to process: 349
% Current number of ordered equations: 2
% Current number of rules: 47
% New rule produced :
% [71]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(X,Y))))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(Z,
% multiply(X,Y))))))))
% Current number of equations to process: 349
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [72]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,X))))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(Y,
% multiply(Z,X))))))))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [73]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,Z))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Z))))))))
% Current number of equations to process: 446
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [74]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Z))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,Z))))))))
% Current number of equations to process: 446
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [75]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,Y))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Y))))))))
% Current number of equations to process: 523
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [76]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Y))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,Y))))))))
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [77]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,Y))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,Y))))
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [78]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Z))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,Z))))))))
% Rule
% [76]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Y))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,Y))))))))
% collapsed.
% Current number of equations to process: 548
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [79]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,Z))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Z))))))))
% Rule
% [75]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,Y))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,Y))))))))
% collapsed.
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [80]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,X))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,X))))))))
% Current number of equations to process: 636
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [81]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,X))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,X))))))))
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [82]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,X))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,X))))))))
% Current number of equations to process: 661
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [83]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,X))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,X))))))))
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [84]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,X))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,X))))))))
% Current number of equations to process: 687
% Current number of ordered equations: 2
% Current number of rules: 59
% New rule produced :
% [85]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(X,Y))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,Y))))
% Current number of equations to process: 687
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [86]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,X))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,X))))))))
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [87]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,X))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,X))))))))
% Current number of equations to process: 722
% Current number of ordered equations: 2
% Current number of rules: 62
% New rule produced :
% [88]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,
% multiply(X,
% multiply(X,Y))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,Y))))
% Current number of equations to process: 722
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [89]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,X))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,X))))))))
% Current number of equations to process: 722
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [90]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,Y))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,Y))))
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [91]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(X,multiply(Y,multiply(Z,
% multiply(V_3,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 737
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [92]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(X,multiply(Y,multiply(Z,
% multiply(Y,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 763
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [93]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(Z,
% multiply(X,Y)))))))))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(X,Y)))))))
% Rule
% [33]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(X,multiply(Y,multiply(Z,
% multiply(X,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,Z)) collapsed.
% Current number of equations to process: 781
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [94]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(X,multiply(Y,multiply(Z,
% multiply(X,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 800
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [95]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [96]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(X,Y)))))))))))
% -> multiply(X,multiply(Y,multiply(X,Y)))
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [97]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,X)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,X)))))))))
% Current number of equations to process: 812
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [98]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,X)))))))
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [99]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,X)))))))))
% ->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,X)))))))
% Rule
% [85]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(X,Y))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))) collapsed.
% Rule
% [96]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(X,Y)))))))))))
% -> multiply(X,multiply(Y,multiply(X,Y))) collapsed.
% Current number of equations to process: 842
% Current number of ordered equations: 0
% Current number of rules: 71
% Rule [97]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,X)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(X,
% multiply(Y,
% multiply(Y,X))))))))) is composed into
% [97]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,X)))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,X)))))))
% New rule produced :
% [100]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,X)))))))))
% ->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,X)))))))
% Rule
% [88]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,
% multiply(X,
% multiply(X,Y))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,Y)))) collapsed.
% Rule
% [98]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,X)))))))
% collapsed.
% Current number of equations to process: 851
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [101]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(X,multiply(Y,multiply(Z,
% multiply(Y,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [102]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(X,
% multiply(Y,Z))))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 847
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [103]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(Z,
% multiply(X,
% multiply(Y,Z))))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [104]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(Z,X))))))))))
% -> multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,X))))))
% Rule
% [102]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(X,
% multiply(Y,Z))))))))))))
% -> multiply(X,multiply(Y,Z)) collapsed.
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [105]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,Z))))))
% Current number of equations to process: 917
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [106]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Y))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,Y))))))
% Current number of equations to process: 925
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [107]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,Z))))))
% Rule
% [106]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Y))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,Y))))))
% collapsed.
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [108]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,Z))))))
% Current number of equations to process: 936
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [109]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,Z))))))
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [110]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,X)))))))))
% Current number of equations to process: 925
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [111]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,X)))))))))
% Current number of equations to process: 925
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [112]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(Z,
% multiply(X,Y)))))))))))
% -> multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,Y)))))
% Current number of equations to process: 946
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [113]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(Y,
% multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(Z,X)))))))))))
% -> multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,X)))))
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [114]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(Y,
% multiply(Z,
% multiply(X,V_3)))))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,
% multiply(X,V_3)))))))))
% Current number of equations to process: 1000
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [115]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,
% multiply(X,V_3)))))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(Y,
% multiply(Z,
% multiply(X,V_3)))))))))
% Current number of equations to process: 1000
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [116]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(Z,
% multiply(X,
% multiply(Y,V_3)))))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(X,
% multiply(Y,V_3)))))))))
% Current number of equations to process: 1211
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [117]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(X,
% multiply(Y,V_3)))))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(Z,
% multiply(X,
% multiply(Y,V_3)))))))))
% Current number of equations to process: 1211
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [118]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Y)))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,Y)))))
% Current number of equations to process: 1450
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [119]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(X,
% multiply(Y,
% multiply(Z,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(X,multiply(Y,multiply(Z,
% multiply(Y,
% multiply(Z,X)))))))))
% Current number of equations to process: 1454
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [120]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(X,multiply(Y,multiply(Z,
% multiply(Y,
% multiply(Z,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(X,
% multiply(Y,
% multiply(Z,X)))))))))
% Current number of equations to process: 1454
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [121]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Y)))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,Y)))))
% Current number of equations to process: 1572
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [122]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,Z)))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,Z)))))
% Current number of equations to process: 1574
% Current number of ordered equations: 2
% Current number of rules: 90
% New rule produced :
% [123]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Z)))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(X,Z)))))))))
% Current number of equations to process: 1574
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [124]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(X,Z)))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Z)))))))))
% Current number of equations to process: 1574
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [125]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Z)))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,Z)))))
% Rule
% [118]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Y)))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,Y))))) collapsed.
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [126]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Z)))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,Z)))))))))
% Rule
% [110]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,X)))))))))
% collapsed.
% Current number of equations to process: 1722
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [127]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,Z)))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Z)))))))))
% Rule
% [111]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,X)))))))))
% collapsed.
% Current number of equations to process: 1722
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [128]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Z)))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,Z)))))
% Rule
% [121]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Y)))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,Y))))) collapsed.
% Current number of equations to process: 1862
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [129]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Z)))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(X,Z)))))))))
% Current number of equations to process: 1856
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [130]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(X,Z)))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Z)))))))))
% Current number of equations to process: 1856
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [131]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,X)))))))))
% Current number of equations to process: 2002
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [132]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,X)))))))))
% Current number of equations to process: 2002
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [133]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Z)))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,Z)))))))))
% Rule
% [132]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,X)))))))))
% collapsed.
% Current number of equations to process: 2040
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [134]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,Z)))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,Z)))))))))
% Rule
% [131]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,X)))))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,X)))))))))
% collapsed.
% Current number of equations to process: 2040
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [135]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,Z)))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,Z)))))
% Current number of equations to process: 2188
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [136]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(Z,
% multiply(X,
% multiply(Y,V_3))))))))))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(X,
% multiply(Y,V_3))))))))
% Rule
% [34]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(Z,
% multiply(X,
% multiply(Y,Z))))))))))
% -> multiply(X,multiply(Y,Z)) collapsed.
% Rule
% [94]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(X,multiply(Y,multiply(Z,
% multiply(X,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3))) collapsed.
% Rule
% [95]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3))) collapsed.
% Current number of equations to process: 2170
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [137]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(X,multiply(Y,multiply(Z,
% multiply(V_3,
% multiply(X,
% multiply(Y,
% multiply(Z,
% multiply(V_3,V_4))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,multiply(V_3,V_4))))
% Current number of equations to process: 2185
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [138]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,X))))))))))
% ->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(X,X))))))))
% Current number of equations to process: 2192
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [139]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(Z,
% multiply(Z,
% multiply(X,Y))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,multiply(X,Y))))
% Current number of equations to process: 2195
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [140]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,Z))))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(Y,Z))))
% Current number of equations to process: 2227
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [141]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,Z))))))))))
% ->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(X,Z))))))))
% Rule
% [90]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,Y))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,Y)))) collapsed.
% Rule
% [122]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,Z)))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,Z))))) collapsed.
% Rule
% [128]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Z)))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,Z))))) collapsed.
% Rule
% [140]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,Z))))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(Y,Z)))) collapsed.
% Current number of equations to process: 2231
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [142]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,Z))))))))))
% ->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(X,Z))))))))
% Rule
% [77]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,Y))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,Y)))) collapsed.
% Rule
% [125]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Z)))))))))))
% -> multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,Z))))) collapsed.
% Rule
% [135]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,Z)))))))))))
% -> multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,Z))))) collapsed.
% Rule
% [138]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,X))))))))))
% ->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(X,X))))))))
% collapsed.
% Current number of equations to process: 2233
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [143]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 2201
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [144]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 2214
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [145]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(Z,
% multiply(X,V_3)))))))))))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(X,V_3)))))))
% Rule
% [103]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(Z,
% multiply(X,
% multiply(Y,Z))))))))))))
% -> multiply(X,multiply(Y,Z)) collapsed.
% Rule
% [143]
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(X,multiply(Y,
% multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3))) collapsed.
% Rule
% [144]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3))) collapsed.
% Current number of equations to process: 2238
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [146]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(X,multiply(X,multiply(Y,
% multiply(Z,
% multiply(V_3,
% multiply(X,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 2251
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [147]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Y,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,Z))))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 2287
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [148]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_3,multiply(X,
% multiply(Y,
% multiply(Z,
% multiply(V_3,
% multiply(V_3,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 2368
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [149]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Y,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Z,
% multiply(Y,
% multiply(X,
% multiply(Y,Z))))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 2405
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [150]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(X,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Z,
% multiply(X,
% multiply(X,
% multiply(Y,Z))))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 2439
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [151]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(Z,X)))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,X)))
% Current number of equations to process: 2552
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [152]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(X,multiply(X,
% multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(Z,X)))))))))))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(X,multiply(Y,multiply(Z,X)))))))
% Current number of equations to process: 2597
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [153]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(Y,multiply(X,multiply(Y,
% multiply(Z,
% multiply(V_3,
% multiply(Y,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 2649
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [154]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(Z,multiply(X,multiply(Y,
% multiply(Z,
% multiply(V_3,
% multiply(Z,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 2649
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [155]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,Z))))))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 2777
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [156]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Y,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Z,
% multiply(Y,X))))))))))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(X,multiply(Y,multiply(Z,
% multiply(Y,X))))))))
% Rule
% [155]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(X,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(X,
% multiply(X,
% multiply(Y,Z))))))))))))
% -> multiply(X,multiply(Y,Z)) collapsed.
% Current number of equations to process: 2832
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [157]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Y,multiply(X,multiply(Y,
% multiply(Z,
% multiply(Y,
% multiply(Y,
% multiply(X,
% multiply(Y,
% multiply(Z,V_3)))))))))))))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 2874
% Current number of ordered equations: 0
% Current numbCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------