TSTP Solution File: RNG035-7 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : RNG035-7 : TPTP v6.0.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n082.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 00:31:49 EDT 2014

% Result   : Timeout 300.05s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : RNG035-7 : TPTP v6.0.0. Released v1.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n082.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 20:59:43 CDT 2014
% % CPUTime  : 300.05 
% Processing problem /tmp/CiME_35934_n082.star.cs.uiowa.edu
% #verbose 1;
% let F = signature "  add : AC; c,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));
% additive_identity add X = X;
% X add additive_identity = X;
% additive_inverse(X) add X = additive_identity;
% X add additive_inverse(X) = additive_identity;
% multiply(X,Y add Z) = multiply(X,Y) add multiply(X,Z);
% multiply(X add Y,Z) = multiply(X,Z) add multiply(Y,Z);
% multiply(X,multiply(X,multiply(X,X))) = X;
% multiply(a,b) = c;
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% additive_inverse lr_lex;
% additive_identity lr_lex;
% multiply mul;
% add mul;
% ";
% 
% let p1 = precedence F "
% multiply > additive_inverse > add > additive_identity > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% multiply mul;
% additive_inverse mul;
% add mul;
% additive_identity mul;
% ";
% 
% let p2 = precedence F "
% multiply > additive_inverse > add > additive_identity = a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(b,a) = c;"
% ;
% (*
% 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_identity add X = X,
% additive_inverse(X) add X = additive_identity,
% additive_inverse(X) add X = additive_identity,
% multiply(X,Y add Z) =
% multiply(X,Y) add multiply(X,Z),
% multiply(X add Y,Z) =
% multiply(X,Z) add multiply(Y,Z),
% multiply(X,multiply(X,multiply(X,X))) = X,
% multiply(a,b) = c } (9 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(b,a) = c } (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: 6
% Current number of rules: 1
% New rule produced : [2] multiply(a,b) -> c
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 2
% New rule produced : [3] additive_inverse(X) add X -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 3
% New rule produced : [4] multiply(X,multiply(X,multiply(X,X))) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 4
% New rule produced :
% [5] 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: 5
% New rule produced :
% [6] 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: 6
% New rule produced :
% [7] 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: 7
% New rule produced : [8] additive_inverse(additive_inverse(X)) -> X
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9] additive_inverse(additive_identity) -> additive_identity
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10] 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: 10
% New rule produced : [11] multiply(a,multiply(b,X)) -> multiply(c,X)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12] multiply(X,additive_identity) add multiply(X,Y) -> multiply(X,Y)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13] multiply(additive_identity,Y) add multiply(X,Y) -> multiply(X,Y)
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% Rule [10] additive_inverse(X add Y) add Y -> additive_inverse(X) collapsed.
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [15] multiply(c,multiply(b,multiply(b,b))) -> c
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [16] c add multiply(a,additive_identity) -> c
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [17] multiply(X,additive_identity) -> additive_identity
% Rule [12] multiply(X,additive_identity) add multiply(X,Y) -> multiply(X,Y)
% collapsed.
% Rule [16] c add multiply(a,additive_identity) -> c collapsed.
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [18] c add multiply(additive_identity,b) -> c
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [19] multiply(additive_identity,X) -> additive_identity
% Rule [13] multiply(additive_identity,Y) add multiply(X,Y) -> multiply(X,Y)
% collapsed.
% Rule [18] c add multiply(additive_identity,b) -> c collapsed.
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [20] 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: 15
% New rule produced :
% [21] c add multiply(a,additive_inverse(b)) -> additive_identity
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [22] multiply(X,additive_inverse(Y)) -> additive_inverse(multiply(X,Y))
% Rule
% [20] multiply(X,additive_inverse(Y)) add multiply(X,Y) -> additive_identity
% collapsed.
% Rule [21] c add multiply(a,additive_inverse(b)) -> additive_identity
% collapsed.
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [23]
% multiply(additive_inverse(multiply(X,Y)),Z) ->
% multiply(X,multiply(additive_inverse(Y),Z))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [24]
% multiply(a,multiply(additive_inverse(b),X)) ->
% multiply(additive_inverse(c),X)
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [25] multiply(additive_inverse(Y),X) add multiply(Y,X) -> additive_identity
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [26] c add multiply(additive_inverse(a),b) -> additive_identity
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [27] multiply(additive_inverse(X),Y) -> additive_inverse(multiply(X,Y))
% Rule
% [23]
% multiply(additive_inverse(multiply(X,Y)),Z) ->
% multiply(X,multiply(additive_inverse(Y),Z)) collapsed.
% Rule
% [24]
% multiply(a,multiply(additive_inverse(b),X)) ->
% multiply(additive_inverse(c),X) collapsed.
% Rule
% [25] multiply(additive_inverse(Y),X) add multiply(Y,X) -> additive_identity
% collapsed.
% Rule [26] c add multiply(additive_inverse(a),b) -> additive_identity
% collapsed.
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [28] multiply(X,multiply(X,multiply(X,multiply(X,Y)))) -> multiply(X,Y)
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [29] multiply(a,multiply(a,multiply(a,c))) -> c
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 18
% Rule [27] multiply(additive_inverse(X),Y) -> additive_inverse(multiply(X,Y)) is composed into 
% [27] multiply(additive_inverse(X),Y) -> multiply(X,Y)
% Rule [22] multiply(X,additive_inverse(Y)) -> additive_inverse(multiply(X,Y)) is composed into 
% [22] multiply(X,additive_inverse(Y)) -> multiply(X,Y)
% New rule produced : [30] additive_inverse(multiply(X,Y)) -> multiply(X,Y)
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [31] additive_inverse(c) -> c
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [32] additive_inverse(X) -> X
% Rule [3] additive_inverse(X) add X -> additive_identity collapsed.
% Rule [8] additive_inverse(additive_inverse(X)) -> X collapsed.
% Rule [9] additive_inverse(additive_identity) -> additive_identity collapsed.
% Rule
% [14] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% collapsed.
% Rule [22] multiply(X,additive_inverse(Y)) -> multiply(X,Y) collapsed.
% Rule [27] multiply(additive_inverse(X),Y) -> multiply(X,Y) collapsed.
% Rule [30] additive_inverse(multiply(X,Y)) -> multiply(X,Y) collapsed.
% Rule [31] additive_inverse(c) -> c collapsed.
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [33] X add X -> additive_identity
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [34] multiply(c,multiply(b,multiply(b,multiply(b,X)))) -> multiply(c,X)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [35] multiply(a,multiply(a,multiply(a,multiply(c,X)))) -> multiply(c,X)
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [36]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,Y)))))))
% -> multiply(X,Y)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [37] multiply(b,multiply(c,multiply(c,multiply(c,a)))) -> multiply(b,a)
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [38]
% multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,c)))))) ->
% c
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [39]
% multiply(b,multiply(c,multiply(c,multiply(c,multiply(a,X))))) ->
% multiply(b,multiply(a,X))
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [40]
% multiply(c,multiply(X,multiply(b,multiply(X,multiply(b,multiply(X,multiply(b,X)))))))
% -> multiply(c,X)
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [41]
% multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,multiply(b,c)))))) ->
% c
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [42]
% multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,X)))))))
% -> multiply(c,X)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [43]
% multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,a)))))))
% -> multiply(b,a)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [44]
% multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,c)))))) ->
% multiply(b,multiply(c,multiply(c,c)))
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [45]
% multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,X)))))))
% -> multiply(c,X)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [46]
% multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,multiply(b,a)))))) ->
% multiply(c,multiply(c,multiply(c,a)))
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [47]
% multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,
% multiply(Y,Z))))))))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [48]
% multiply(X,multiply(a,multiply(X,multiply(a,multiply(X,multiply(a,multiply(X,c)))))))
% -> multiply(X,c)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [49]
% multiply(c,multiply(X,multiply(b,multiply(X,multiply(b,multiply(X,multiply(b,
% multiply(X,Y))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [50]
% multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,X)))))))
% -> multiply(b,multiply(c,multiply(c,multiply(c,X))))
% Rule
% [43]
% multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,a)))))))
% -> multiply(b,a) collapsed.
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [51]
% multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,multiply(b,multiply(a,X)))))))
% -> multiply(c,multiply(c,multiply(c,multiply(a,X))))
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [52]
% multiply(X,multiply(a,multiply(X,multiply(a,multiply(X,multiply(a,multiply(X,
% multiply(c,Y))))))))
% -> multiply(X,multiply(c,Y))
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [53]
% multiply(X,multiply(Y,multiply(Z,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: 13
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [54]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,
% multiply(c,
% multiply(a,c)))))))))
% -> c
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [55]
% multiply(b,multiply(X,multiply(c,multiply(X,multiply(c,multiply(X,multiply(c,
% multiply(X,a))))))))
% -> multiply(b,multiply(X,a))
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [56]
% multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,
% multiply(a,
% multiply(a,c)))))))))
% -> c
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [57]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,
% multiply(c,
% multiply(b,c)))))))))
% -> c
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [58]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,
% multiply(a,c))))))))
% -> multiply(c,multiply(c,c))
% Rule
% [54]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,
% multiply(c,
% multiply(a,c)))))))))
% -> c collapsed.
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [59]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,
% multiply(a,c))))))))
% -> multiply(b,multiply(c,c))
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [60]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,
% multiply(b,c))))))))
% -> multiply(c,multiply(c,c))
% Rule
% [57]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,
% multiply(c,
% multiply(b,c)))))))))
% -> c collapsed.
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [61]
% multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,multiply(c,c)))))) ->
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,c))))))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [62]
% multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,multiply(c,c)))))) ->
% multiply(b,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,c))))))
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [63]
% multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,multiply(c,c)))))) ->
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,c))))))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [64]
% multiply(c,multiply(X,multiply(a,multiply(c,multiply(X,multiply(a,multiply(c,
% multiply(X,
% multiply(a,
% multiply(c,X))))))))))
% -> multiply(c,X)
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [65]
% multiply(X,multiply(Y,multiply(X,multiply(X,multiply(Y,multiply(X,multiply(X,
% multiply(Y,
% multiply(X,
% multiply(X,Y))))))))))
% -> multiply(X,Y)
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [66]
% multiply(c,multiply(X,multiply(b,multiply(b,multiply(X,multiply(b,multiply(b,
% multiply(X,
% multiply(b,
% multiply(b,X))))))))))
% -> multiply(c,X)
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [67]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,
% multiply(a,
% multiply(c,
% multiply(c,a))))))))))
% -> multiply(b,a)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [68]
% multiply(c,multiply(X,multiply(b,multiply(c,multiply(X,multiply(b,multiply(c,
% multiply(X,
% multiply(b,
% multiply(c,X))))))))))
% -> multiply(c,X)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [69]
% multiply(X,multiply(Y,multiply(Y,multiply(X,multiply(Y,multiply(Y,multiply(X,
% multiply(Y,
% multiply(Y,
% multiply(X,Y))))))))))
% -> multiply(X,Y)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [70]
% multiply(c,multiply(X,multiply(X,multiply(b,multiply(X,multiply(X,multiply(b,
% multiply(X,
% multiply(X,
% multiply(b,X))))))))))
% -> multiply(c,X)
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [71]
% multiply(X,multiply(c,multiply(a,multiply(X,multiply(c,multiply(a,multiply(X,
% multiply(c,
% multiply(a,
% multiply(X,c))))))))))
% -> multiply(X,c)
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [72]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,
% multiply(c,
% multiply(a,
% multiply(c,X))))))))))
% -> multiply(c,X)
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [73]
% multiply(b,multiply(X,multiply(c,multiply(X,multiply(c,multiply(X,multiply(c,
% multiply(X,
% multiply(a,Y)))))))))
% -> multiply(b,multiply(X,multiply(a,Y)))
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [74]
% multiply(c,multiply(a,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,
% multiply(a,
% multiply(a,
% multiply(c,X))))))))))
% -> multiply(c,X)
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [75]
% multiply(b,multiply(a,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,
% multiply(a,
% multiply(a,c)))))))))
% -> multiply(b,multiply(c,multiply(c,c)))
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [76]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,
% multiply(c,
% multiply(b,
% multiply(c,X))))))))))
% -> multiply(c,X)
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [77]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,
% multiply(a,
% multiply(c,X)))))))))
% -> multiply(c,multiply(c,multiply(c,X)))
% Rule
% [72]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,
% multiply(c,
% multiply(a,
% multiply(c,X))))))))))
% -> multiply(c,X) collapsed.
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [78]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,
% multiply(a,
% multiply(c,X)))))))))
% -> multiply(b,multiply(c,multiply(c,X)))
% Rule
% [67]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,
% multiply(a,
% multiply(c,
% multiply(c,a))))))))))
% -> multiply(b,a) collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [79]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,
% multiply(b,
% multiply(c,X)))))))))
% -> multiply(c,multiply(c,multiply(c,X)))
% Rule
% [76]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,
% multiply(c,
% multiply(b,
% multiply(c,X))))))))))
% -> multiply(c,X) collapsed.
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [80]
% multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,multiply(c,multiply(c,X)))))))
% ->
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,X)))))))
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [81]
% multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,multiply(c,multiply(c,X)))))))
% ->
% multiply(b,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,X)))))))
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [82]
% multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,multiply(c,multiply(c,X)))))))
% ->
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,X)))))))
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [83]
% multiply(b,multiply(a,multiply(a,multiply(c,multiply(a,multiply(a,multiply(c,
% multiply(a,
% multiply(a,
% multiply(c,a))))))))))
% -> multiply(b,a)
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [84]
% multiply(c,multiply(b,multiply(b,multiply(c,multiply(b,multiply(b,multiply(c,
% multiply(b,
% multiply(b,c)))))))))
% -> c
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [85]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,
% multiply(c,a))))))))
% -> multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,a)))))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [86]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,
% multiply(c,b))))))))
% -> multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,b)))))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [87]
% multiply(b,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,
% multiply(c,a))))))))
% -> multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,a)))))
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [88]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,X)))))))
% ->
% multiply(c,multiply(c,multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,X)))))))
% Rule
% [58]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,
% multiply(a,c))))))))
% -> multiply(c,multiply(c,c)) collapsed.
% Rule
% [77]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,
% multiply(a,
% multiply(c,X)))))))))
% -> multiply(c,multiply(c,multiply(c,X))) collapsed.
% Rule
% [85]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,
% multiply(c,a))))))))
% -> multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,a))))) collapsed.
% Rule
% [87]
% multiply(b,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,
% multiply(c,a))))))))
% -> multiply(b,multiply(a,multiply(c,multiply(a,multiply(c,a))))) collapsed.
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [89]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,c)))))) ->
% multiply(b,multiply(c,multiply(c,multiply(a,multiply(c,multiply(a,c))))))
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [90]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,X)))))))
% ->
% multiply(b,multiply(c,multiply(c,multiply(a,multiply(c,multiply(a,multiply(c,X)))))))
% Rule
% [59]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,
% multiply(a,c))))))))
% -> multiply(b,multiply(c,c)) collapsed.
% Rule
% [78]
% multiply(b,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,
% multiply(a,
% multiply(c,X)))))))))
% -> multiply(b,multiply(c,multiply(c,X))) collapsed.
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [91]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,
% multiply(b,a))))))))
% -> multiply(c,multiply(c,a))
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [92]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,a)))))) ->
% multiply(c,multiply(c,multiply(c,multiply(b,multiply(c,multiply(b,a))))))
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [93]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,b)))))))
% ->
% multiply(c,multiply(c,multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,b)))))))
% Rule
% [86]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,
% multiply(c,b))))))))
% -> multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,b))))) collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [94]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,
% multiply(b,
% multiply(a,X)))))))))
% -> multiply(c,multiply(c,multiply(a,X)))
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [95]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,X)))))))
% ->
% multiply(c,multiply(c,multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,X)))))))
% Rule
% [60]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,
% multiply(b,c))))))))
% -> multiply(c,multiply(c,c)) collapsed.
% Rule
% [79]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,
% multiply(b,
% multiply(c,X)))))))))
% -> multiply(c,multiply(c,multiply(c,X))) collapsed.
% Rule
% [91]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,
% multiply(b,a))))))))
% -> multiply(c,multiply(c,a)) collapsed.
% Rule
% [93]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,b)))))))
% ->
% multiply(c,multiply(c,multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,b)))))))
% collapsed.
% Rule
% [94]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,
% multiply(b,
% multiply(a,X)))))))))
% -> multiply(c,multiply(c,multiply(a,X))) collapsed.
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [96]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,multiply(a,X)))))))
% ->
% multiply(c,multiply(c,multiply(c,multiply(b,multiply(c,multiply(b,multiply(a,X)))))))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [97]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,c)))))))
% -> multiply(c,multiply(a,multiply(c,multiply(a,c))))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [98]
% multiply(b,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,c)))))))
% -> multiply(b,multiply(a,multiply(c,multiply(a,c))))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [99]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,c)))))))
% -> multiply(c,multiply(b,multiply(c,multiply(b,c))))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [100]
% multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,multiply(c,a)))))) ->
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,a))))))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [101]
% multiply(c,multiply(b,multiply(c,multiply(b,multiply(c,multiply(c,multiply(a,X)))))))
% ->
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(a,X)))))))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [102]
% multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,c)))))) ->
% multiply(c,multiply(c,multiply(c,multiply(a,multiply(c,multiply(a,c))))))
% Rule
% [97]
% multiply(c,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,c)))))))
% -> multiply(c,multiply(a,multiply(c,multiply(a,c)))) collapsed.
% Rule
% [98]
% multiply(b,multiply(c,multiply(a,multiply(c,multiply(c,multiply(a,multiply(c,c)))))))
% -> multiply(b,multiply(a,multiply(c,multiply(a,c)))) collapsed.
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [103]
% multiply(c,multiply(b,multiply(b,multiply(c,multiply(b,multiply(b,multiply(c,
% multiply(b,
% multiply(b,
% multiply(c,X))))))))))
% -> multiply(c,X)
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [104]
% multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,c)))))) ->
% multiply(c,multiply(c,multiply(c,multiply(b,multiply(c,multiply(b,c))))))
% Rule
% [99]
% multiply(c,multiply(c,multiply(b,multiply(c,multiply(c,multiply(b,multiply(c,c)))))))
% -> multiply(c,multiply(b,multiply(c,multiply(b,c)))) collapsed.
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [105]
% multiply(c,multiply(b,multiply(b,multiply(c,multiply(b,multiply(b,multiply(c,
% multiply(b,
% multiply(b,a)))))))))
% -> multiply(c,multiply(c,multiply(c,a)))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [106]
% multiply(c,multiply(X,multiply(Y,multiply(b,multiply(X,multiply(Y,multiply(b,
% multiply(X,
% multiply(Y,
% multiply(b,
% multiply(X,Y)))))))))))
% -> multiply(c,multiply(X,Y))
% Current number of equations to process: 72
% Current number of ordered eqCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------