TSTP Solution File: GRP196-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP196-1 : TPTP v6.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n069.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 00:22:37 EDT 2014
% Result : Timeout 300.02s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP196-1 : TPTP v6.0.0. Released v2.2.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n069.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 : Fri Jun 6 07:23:43 CDT 2014
% % CPUTime : 300.02
% Processing problem /tmp/CiME_28640_n069.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b,a : constant; multiply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z));
% multiply(X,multiply(Y,multiply(Y,Y))) = multiply(Y,multiply(Y,multiply(Y,X)));
% ";
%
% let s1 = status F "
% b lr_lex;
% a lr_lex;
% multiply lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > a > b";
%
% let s2 = status F "
% b mul;
% a mul;
% multiply mul;
% ";
%
% let p2 = precedence F "
% multiply > 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,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))))))))))))) = multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,b)))))))))))))))));"
% ;
% (*
% 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)),
% multiply(X,multiply(Y,multiply(Y,Y))) =
% multiply(Y,multiply(Y,multiply(Y,X))) }
% (2 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,multiply(b,multiply(a,multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,b)))))))))))))))))
% =
% multiply(a,multiply(a,multiply(a,multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(b,
% multiply(b,
% multiply(b,
% multiply(b,
% multiply(b,
% multiply(b,
% multiply(b,
% multiply(b,b))))))))))))))))) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced :
% [1] 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: 1
% New rule produced :
% [2]
% multiply(X,multiply(Y,multiply(Y,Y))) <->
% multiply(Y,multiply(Y,multiply(Y,X)))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(Y,multiply(Y,multiply(Y,X))) <->
% multiply(X,multiply(Y,multiply(Y,Y)))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,Z)))) <->
% multiply(Z,multiply(Z,multiply(Z,multiply(X,Y))))
% Current number of equations to process: 5
% Current number of ordered equations: 3
% Current number of rules: 4
% New rule produced :
% [5]
% multiply(X,multiply(X,multiply(X,multiply(Y,Z)))) <->
% multiply(Y,multiply(X,multiply(X,multiply(X,Z))))
% The conjecture has been reduced.
% Conjecture is now:
% multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,b))))))))))))))))) =
% multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,
% multiply(b,
% multiply(b,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,a)))))))))))))))))
%
% Current number of equations to process: 5
% Current number of ordered equations: 2
% Current number of rules: 5
% New rule produced :
% [6]
% multiply(Y,multiply(X,multiply(X,multiply(X,Z)))) <->
% multiply(X,multiply(X,multiply(X,multiply(Y,Z))))
% Current number of equations to process: 5
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [7]
% multiply(Z,multiply(Z,multiply(Z,multiply(X,Y)))) <->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,Z))))
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,X))))) <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X)))))
% Current number of equations to process: 46
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [9]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X))))) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,X)))))
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_3,V_3))))) <->
% multiply(V_3,multiply(V_3,multiply(V_3,multiply(X,multiply(Y,Z)))))
% Current number of equations to process: 66
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [11]
% multiply(V_3,multiply(V_3,multiply(V_3,multiply(X,multiply(Y,Z))))) <->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_3,V_3)))))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,V_3))))) <->
% multiply(Y,multiply(Z,multiply(X,multiply(X,multiply(X,V_3)))))
% Rule
% [9]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X))))) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,X))))) collapsed.
% Current number of equations to process: 113
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced :
% [13]
% multiply(Y,multiply(Z,multiply(X,multiply(X,multiply(X,V_3))))) <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,V_3)))))
% Rule
% [8]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,X))))) <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X))))) collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [14]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,X))))) <->
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [15]
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,X)))))
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [16]
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,X))))) <->
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [17]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,X))))) <->
% multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,Y)))))
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [18]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(Y,Z)))))) <->
% multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(Y,multiply(Z,X))))))
% Current number of equations to process: 263
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [19]
% multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(Y,multiply(Z,X)))))) <->
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(Y,Z))))))
% The conjecture has been reduced.
% Conjecture is now:
% multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,a))))))))))))))))) =
% multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,
% multiply(b,
% multiply(b,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,a)))))))))))))))))
%
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [20]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,Z)))))) <->
% multiply(Z,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X))))))
% Current number of equations to process: 347
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [21]
% multiply(Z,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X)))))) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,Z))))))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [22]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Z)))))) <->
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 448
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [23]
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,Y)))))) <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Z))))))
% Current number of equations to process: 454
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [24]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,Z)))))) <->
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Z,multiply(Z,Y))))))
% Current number of equations to process: 571
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [25]
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Z,multiply(Z,Y)))))) <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,Z))))))
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [26]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,Z)))))) <->
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 701
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [27]
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,Y)))))) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,Z))))))
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [28]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y)))))) <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,multiply(Z,Z))))))
% Current number of equations to process: 837
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [29]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,multiply(Z,Z)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y))))))
% Current number of equations to process: 844
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [30]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,Z)))))) <->
% multiply(Y,multiply(Y,multiply(Y,multiply(Z,multiply(X,multiply(X,X))))))
% Current number of equations to process: 923
% Current number of ordered equations: 3
% Current number of rules: 28
% New rule produced :
% [31]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,multiply(Y,Y)))))) <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,Z))))))
% Current number of equations to process: 925
% Current number of ordered equations: 2
% Current number of rules: 29
% New rule produced :
% [32]
% multiply(Y,multiply(Y,multiply(Y,multiply(Z,multiply(X,multiply(X,X)))))) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,Z))))))
% Current number of equations to process: 925
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [33]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,Z)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 925
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [34]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,Y)))))) <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,multiply(Z,Z))))))
% Current number of equations to process: 1199
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [35]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,multiply(Z,Z)))))) <->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,Y))))))
% Current number of equations to process: 1202
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [36]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,Z)))))) <->
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,Z))))))
% Current number of equations to process: 1288
% Current number of ordered equations: 3
% Current number of rules: 34
% New rule produced :
% [37]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Y,multiply(Y,V_3))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Z,V_3))))))
% Current number of equations to process: 1292
% Current number of ordered equations: 2
% Current number of rules: 35
% New rule produced :
% [38]
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,Z)))))) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,Z))))))
% Current number of equations to process: 1292
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [39]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Z,V_3))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Y,multiply(Y,V_3))))))
% Current number of equations to process: 1292
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [40]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Z)))))) <->
% multiply(Z,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X))))))
% Current number of equations to process: 1857
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [41]
% multiply(Z,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X)))))) <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Z))))))
% Current number of equations to process: 1861
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [42]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,Z)))))) <->
% multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(X,multiply(X,X))))))
% Current number of equations to process: 2092
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [43]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(Y,multiply(Y,Y))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Z,V_3))))))
% Rule
% [31]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,multiply(Y,Y)))))) <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,Z))))))
% collapsed.
% Current number of equations to process: 2144
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [44]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Z,V_3))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(Y,multiply(Y,Y))))))
% Rule
% [33]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,Z)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,multiply(Y,Y))))))
% collapsed.
% Current number of equations to process: 2151
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [45]
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X)))))) <->
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X))))))
% Current number of equations to process: 2361
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [46]
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X))))))
% Current number of equations to process: 2361
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [47]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y)))))) <->
% multiply(Z,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Y,Y))))))
% Current number of equations to process: 2456
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [48]
% multiply(Z,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Y,Y)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y))))))
% Current number of equations to process: 2456
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [49]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,multiply(V_4,V_4))))))
% <->
% multiply(V_4,multiply(V_4,multiply(V_4,multiply(X,multiply(Y,multiply(Z,V_3))))))
% Rule
% [43]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(Y,multiply(Y,Y))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Z,V_3))))))
% collapsed.
% Current number of equations to process: 2584
% Current number of ordered equations: 3
% Current number of rules: 44
% New rule produced :
% [50]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(V_3,V_4))))))
% <->
% multiply(Y,multiply(Z,multiply(V_3,multiply(X,multiply(X,multiply(X,V_4))))))
% Rule
% [39]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Z,V_3))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Y,multiply(Y,V_3))))))
% collapsed.
% Rule
% [48]
% multiply(Z,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Y,Y)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y))))))
% collapsed.
% Current number of equations to process: 2584
% Current number of ordered equations: 2
% Current number of rules: 43
% New rule produced :
% [51]
% multiply(Y,multiply(Z,multiply(V_3,multiply(X,multiply(X,multiply(X,V_4))))))
% <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(V_3,V_4))))))
% Rule
% [37]
% multiply(X,multiply(Y,multiply(Z,multiply(Y,multiply(Y,multiply(Y,V_3))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Z,V_3))))))
% collapsed.
% Rule
% [47]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y)))))) <->
% multiply(Z,multiply(Z,multiply(Z,multiply(X,multiply(Y,multiply(Y,Y))))))
% collapsed.
% Current number of equations to process: 2664
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [52]
% multiply(V_4,multiply(V_4,multiply(V_4,multiply(X,multiply(Y,multiply(Z,V_3))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,multiply(V_4,V_4))))))
% Rule
% [44]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Z,V_3))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(Y,multiply(Y,Y))))))
% collapsed.
% Current number of equations to process: 2664
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [53]
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,Z)))))) <->
% multiply(Z,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X))))))
% Current number of equations to process: 3269
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [54]
% multiply(Z,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,Z))))))
% Current number of equations to process: 3269
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [55]
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,Z)))))) <->
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,Y))))))
% Rule
% [46]
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X))))))
% collapsed.
% Current number of equations to process: 3507
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [56]
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,Y)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,Z))))))
% Rule
% [45]
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X)))))) <->
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X))))))
% collapsed.
% Current number of equations to process: 3507
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [57]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Z)))))) <->
% multiply(Z,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))))
% Current number of equations to process: 3738
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [58]
% multiply(Z,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))) <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,Z))))))
% Current number of equations to process: 3738
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [59]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,Z)))))) <->
% multiply(Z,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))))
% Current number of equations to process: 4019
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [60]
% multiply(Z,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))) <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,Z))))))
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [61]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,Z)))))) <->
% multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Z))))))
% Current number of equations to process: 4295
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [62]
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,Z)))))) <->
% multiply(Z,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))))
% Current number of equations to process: 4477
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [63]
% multiply(Z,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,Z))))))
% Current number of equations to process: 4477
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [64]
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,Z)))))) <->
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,Z))))))
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [65]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))) <->
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X))))))
% Current number of equations to process: 4975
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [66]
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))))
% Current number of equations to process: 4975
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [67]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))) <->
% multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,X))))))
% Current number of equations to process: 1794
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [68]
% multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))))
% Current number of equations to process: 1794
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [69]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,Y)))))) <->
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X))))))
% Current number of equations to process: 1908
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [70]
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,Y))))))
% Current number of equations to process: 1908
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [71]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,Y)))))) <->
% multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,X))))))
% Current number of equations to process: 2059
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [72]
% multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,Y))))))
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [73]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,Y)))))) <->
% multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,X))))))
% Current number of equations to process: 2211
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [74]
% multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,Y))))))
% Current number of equations to process: 2211
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [75]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y)))))) <->
% multiply(Z,multiply(Z,multiply(Y,multiply(Y,multiply(Y,multiply(Z,X))))))
% Current number of equations to process: 2335
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [76]
% multiply(Z,multiply(Z,multiply(Y,multiply(Y,multiply(Y,multiply(Z,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y))))))
% Current number of equations to process: 2335
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [77]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,Y)))))) <->
% multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,X))))))
% Rule
% [67]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))) <->
% multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,X))))))
% collapsed.
% Current number of equations to process: 2673
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [78]
% multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,Y))))))
% Rule
% [68]
% multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))))
% collapsed.
% Current number of equations to process: 2673
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [79]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y)))))) <->
% multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,X))))))
% Rule
% [71]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,Y)))))) <->
% multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,X))))))
% collapsed.
% Current number of equations to process: 2966
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [80]
% multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y))))))
% Rule
% [72]
% multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,Y))))))
% collapsed.
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [81]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y)))))) <->
% multiply(Y,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,X))))))
% Current number of equations to process: 3309
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [82]
% multiply(Y,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y))))))
% Current number of equations to process: 3309
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [83]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,Y)))))) <->
% multiply(Y,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,X))))))
% Current number of equations to process: 3697
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [84]
% multiply(Y,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,X)))))) <->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,Y))))))
% Current number of equations to process: 3697
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [85]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y)))))) <->
% multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(Y,multiply(Y,X))))))
% Current number of equations to process: 4082
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [86]
% multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(Y,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,Y))))))
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [87]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,Y)))))) <->
% multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(Y,X))))))
% Rule
% [65]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y)))))) <->
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X))))))
% collapsed.
% Current number of equations to process: 4496
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [88]
% multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,Y))))))
% Rule
% [66]
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,Y))))))
% collapsed.
% Current number of equations to process: 4496
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [89]
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,Z)))))) <->
% multiply(Z,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,X))))))
% Rule
% [70]
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,Y))))))
% collapsed.
% Current number of equations to process: 4836
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [90]
% multiply(Z,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,X)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,Z))))))
% Rule
% [69]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,Y)))))) <->
% multiply(Y,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,X))))))
% collapsed.
% Current number of equations to process: 4836
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [91]
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,Z)))))) <->
% multiply(Z,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,Y))))))
% Current number of equations to process: 1190
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [92]
% multiply(Z,multiply(Y,multiply(Y,multiply(X,multiply(X,multiply(X,Y)))))) <->
% multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,Z))))))
% Current number of equations to process: 1190
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [93]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(Z,multiply(V_3,
% multiply(Z,V_3)))))))
% <->
% multiply(Z,multiply(V_3,multiply(Z,multiply(V_3,multiply(Z,multiply(V_3,
% multiply(X,Y)))))))
% Current number of equations to process: 1435
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [94]
% multiply(Z,multiply(V_3,multiply(Z,multiply(V_3,multiply(Z,multiply(V_3,
% multiply(X,Y)))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(Z,multiply(V_3,
% multiply(Z,V_3)))))))
% Current number of equations to process: 1435
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [95]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,V_3)))))))
% <->
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Z,multiply(Z,multiply(Y,V_3)))))))
% Current number of equations to process: 1960
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [96]
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Z,multiply(Z,multiply(Y,V_3)))))))
% <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,V_3)))))))
% Current number of equations to process: 1960
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [97]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Z,V_3)))))))
% <->
% multiply(Z,multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,V_3)))))))
% The conjecture has been reduced.
% Conjecture is now:
% multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(b,
% multiply(a,
% multiply(a,a))))))))))))))))) =
% multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,
% multiply(b,
% multiply(b,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,
% multiply(a,a)))))))))))))))))
%
% Current number of equations to process: 2840
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [98]
% multiply(Z,multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,V_3)))))))
% <->
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(Z,V_3)))))))
% Current number of equations to process: 2840
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [99]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% <->
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(V_3,multiply(Y,multiply(Y,Y)))))))
% Current number of equations to process: 3641
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [100]
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(V_3,multiply(Y,multiply(Y,Y)))))))
% <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% Current number of equations to process: 3641
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [101]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,V_3)))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,multiply(Z,multiply(Z,V_3)))))))
% Current number of equations to process: 4256
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [102]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,multiply(Z,multiply(Z,V_3)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,V_3)))))))
% Current number of equations to process: 4256
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [103]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,V_3)))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(V_3,multiply(Z,multiply(Z,Z)))))))
% Current number of equations to process: 2329
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [104]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(V_3,multiply(Z,multiply(Z,Z)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,V_3)))))))
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [105]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% <->
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,V_3)))))))
% Current number of equations to process: 2984
% Current number of ordered equations: 3
% Current number of rules: 85
% New rule produced :
% [106]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,multiply(Y,multiply(Y,V_3)))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% Current number of equations to process: 2984
% Current number of ordered equations: 2
% Current number of rules: 86
% New rule produced :
% [107]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(Y,multiply(Y,multiply(Y,V_3)))))))
% Current number of equations to process: 2984
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [108]
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,V_3)))))))
% <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% Current number of equations to process: 2984
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [109]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_3,V_3)))))))
% <->
% multiply(V_3,multiply(V_3,multiply(V_3,multiply(Y,multiply(Z,multiply(X,
% multiply(X,X)))))))
% Current number of equations to process: 4978
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [110]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% <->
% multiply(Z,multiply(V_3,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X)))))))
% Current number of equations to process: 1287
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [111]
% multiply(Z,multiply(V_3,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X)))))))
% <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% Current number of equations to process: 1287
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [112]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,V_3)))))))
% <->
% multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(V_3,multiply(X,multiply(X,X)))))))
% Current number of equations to process: 2072
% Current number of ordered equations: 3
% Current number of rules: 92
% New rule produced :
% [113]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_3,V_3)))))))
% <->
% multiply(V_3,multiply(X,multiply(X,multiply(X,multiply(V_3,multiply(V_3,
% multiply(Y,Z)))))))
% Current number of equations to process: 2072
% Current number of ordered equations: 2
% Current number of rules: 93
% New rule produced :
% [114]
% multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(V_3,multiply(X,multiply(X,X)))))))
% <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,V_3)))))))
% Current number of equations to process: 2072
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [115]
% multiply(V_3,multiply(X,multiply(X,multiply(X,multiply(V_3,multiply(V_3,
% multiply(Y,Z)))))))
% <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_3,V_3)))))))
% Current number of equations to process: 2072
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [116]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% <->
% multiply(Z,multiply(Y,multiply(Y,multiply(Y,multiply(V_3,multiply(X,multiply(X,X)))))))
% Current number of equations to process: 3642
% Current number of ordered equations: 3
% Current number of rules: 96
% New rule produced :
% [117]
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(V_3,multiply(Y,multiply(Y,Y)))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% Current number of equations to process: 3642
% Current number of ordered equations: 2
% Current number of rules: 97
% New rule produced :
% [118]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% <->
% multiply(X,multiply(Y,multiply(Y,multiply(Z,multiply(V_3,multiply(Y,multiply(Y,Y)))))))
% Current number of equations to process: 3642
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [119]
% multiply(Z,multiply(Y,multiply(Y,multiply(Y,multiply(V_3,multiply(X,multiply(X,X)))))))
% <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(Z,V_3)))))))
% Current number of equations to process: 3642
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [120]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(Y,Y)))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,multiply(Z,multiply(Z,Y)))))))
% Current number of equations to process: 2343
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [121]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,multiply(Z,multiply(Z,Y)))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(Y,Y)))))))
% Current number of equations to process: 2343
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [122]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Y,multiply(Y,multiply(Y,Z)))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Z,multiply(Z,Z)))))))
% Current number of equations to process: 2746
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [123]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Z,multiply(Z,Z)))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Y,multiply(Y,multiply(Y,Z)))))))
% Current number of equations to process: 2746
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [124]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,V_3)))))))
% <->
% multiply(Z,multiply(V_3,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X)))))))
% Current number of equations to process: 3143
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [125]
% multiply(Z,multiply(V_3,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(X,X)))))))
% <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,V_3)))))))
% Current number of equations to process: 3143
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [126]
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,V_3)))))))
% <->
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(V_3,multiply(Y,multiply(Y,Y)))))))
% Current number of equations to process: 3984
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [127]
% multiply(Z,multiply(X,multiply(X,multiply(X,multiply(V_3,multiply(Y,multiply(Y,Y)))))))
% <->
% multiply(X,multiply(X,multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,V_3)))))))
% Current number of equations to process: 3984
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [128]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(Y,V_3)))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(V_3,multiply(Z,multiply(Z,Z)))))))
% Current number of equations to process: 4776
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [129]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(V_3,multiply(Z,multiply(Z,Z)))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(Y,V_3)))))))
% Current number of equations to process: 4776
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [130]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,V_3)))))))
% <->
% multiply(Y,multiply(V_3,multiply(Z,multiply(Z,multiply(Z,multiply(X,multiply(X,X)))))))
% Rule
% [121]
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,multiply(Z,multiply(Z,Y)))))))
% <->
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(Y,Y)))))))
% collapsed.
% Current number of equations to process: 3509
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [131]
% multiply(Y,multiply(V_3,multiply(Z,multiply(Z,multiply(Z,multiply(X,multiply(X,X)))))))
% <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,V_3)))))))
% Rule
% [120]
% multiply(X,multiply(Y,multiply(Z,multiply(Z,multiply(Z,multiply(Y,multiply(Y,Y)))))))
% <->
% multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,multiply(Z,multiply(Z,Y)))))))
% collapsed.
% Current number of equations to process: 3509
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [132]
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_3,V_3)))))))
% <->
% multiply(Y,multiply(V_3,multiply(V_3,multiply(V_3,multiply(Z,multiply(X,
% multiply(X,X)))))))
% Current number of equations to process: 4437
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [133]
% multiply(Y,multiply(V_3,multiply(V_3,multiply(V_3,multiply(Z,multiply(X,
% multiply(X,X)))))))
% <->
% multiply(X,multiply(X,multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_3,V_3)))))))
% Current number of equations to process: 4437
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [134]
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,multiply(Y,
% Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------