TSTP Solution File: GRP112-10 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP112-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n184.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.5MB
% OS : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 12:44:34 EST 2019
% Result : Timeout 300.09s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP112-10 : TPTP v7.3.0. Released v7.3.0.
% 0.03/0.04 % Command : tptp2X_and_run_cime %s
% 0.03/0.25 % Computer : n184.star.cs.uiowa.edu
% 0.03/0.25 % Model : x86_64 x86_64
% 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.25 % Memory : 32218.5MB
% 0.03/0.25 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.08/0.25 % CPULimit : 300
% 0.08/0.25 % DateTime : Wed Feb 20 20:12:13 CST 2019
% 0.08/0.25 % CPUTime :
% 1.14/1.43 Processing problem /tmp/CiME_44529_n184.star.cs.uiowa.edu
% 1.14/1.43 #verbose 1;
% 1.14/1.43 let F = signature " b4,b1,a4,a1,c3,b3,a3,a2,b2 : constant; tuple : 4; inverse : 1; multiply : 2;";
% 1.14/1.43 let X = vars "X Y Z";
% 1.14/1.43 let Axioms = equations F X "
% 1.14/1.43 multiply(multiply(multiply(X,Y),Z),multiply(X,Z)) = Y;
% 1.14/1.43 ";
% 1.14/1.43
% 1.14/1.43 let s1 = status F "
% 1.14/1.43 b4 lr_lex;
% 1.14/1.43 b1 lr_lex;
% 1.14/1.43 tuple lr_lex;
% 1.14/1.43 a4 lr_lex;
% 1.14/1.43 a1 lr_lex;
% 1.14/1.43 c3 lr_lex;
% 1.14/1.43 b3 lr_lex;
% 1.14/1.43 a3 lr_lex;
% 1.14/1.43 a2 lr_lex;
% 1.14/1.43 inverse lr_lex;
% 1.14/1.43 b2 lr_lex;
% 1.14/1.43 multiply lr_lex;
% 1.14/1.43 ";
% 1.14/1.43
% 1.14/1.43 let p1 = precedence F "
% 1.14/1.43 tuple > multiply > inverse > b2 > a2 > a3 > b3 > c3 > a1 > a4 > b1 > b4";
% 1.14/1.43
% 1.14/1.43 let s2 = status F "
% 1.14/1.43 b4 mul;
% 1.14/1.43 b1 mul;
% 1.14/1.43 tuple mul;
% 1.14/1.43 a4 mul;
% 1.14/1.43 a1 mul;
% 1.14/1.43 c3 mul;
% 1.14/1.43 b3 mul;
% 1.14/1.43 a3 mul;
% 1.14/1.43 a2 mul;
% 1.14/1.43 inverse mul;
% 1.14/1.43 b2 mul;
% 1.14/1.43 multiply mul;
% 1.14/1.43 ";
% 1.14/1.43
% 1.14/1.43 let p2 = precedence F "
% 1.14/1.43 tuple > multiply > inverse > b2 = a2 = a3 = b3 = c3 = a1 = a4 = b1 = b4";
% 1.14/1.43
% 1.14/1.43 let o_auto = AUTO Axioms;
% 1.14/1.43
% 1.14/1.43 let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.14/1.43
% 1.14/1.43 let Conjectures = equations F X " tuple(multiply(multiply(inverse(b2),b2),a2),multiply(multiply(a3,b3),c3),multiply(inverse(a1),a1),multiply(a4,a4)) = tuple(a2,multiply(a3,multiply(b3,c3)),multiply(inverse(b1),b1),multiply(b4,b4));"
% 1.14/1.43 ;
% 1.14/1.43 (*
% 1.14/1.43 let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.14/1.43
% 1.14/1.43 let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% 1.14/1.43 *)
% 1.14/1.43 #time on;
% 1.14/1.43
% 1.14/1.43 let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.14/1.43
% 1.14/1.43 #time off;
% 1.14/1.43
% 1.14/1.43
% 1.14/1.43 let status = if res then "unsatisfiable" else "satisfiable";
% 1.14/1.43 #quit;
% 1.14/1.43 Verbose level is now 1
% 1.14/1.43
% 1.14/1.43 F : signature = <signature>
% 1.14/1.43 X : variable_set = <variable set>
% 1.14/1.43
% 1.14/1.43 Axioms : (F,X) equations = { multiply(multiply(multiply(X,Y),Z),multiply(X,Z))
% 1.14/1.43 = Y } (1 equation(s))
% 1.14/1.43 s1 : F status = <status>
% 1.14/1.43 p1 : F precedence = <precedence>
% 1.14/1.43 s2 : F status = <status>
% 1.14/1.43 p2 : F precedence = <precedence>
% 1.14/1.43 o_auto : F term_ordering = <term ordering>
% 1.14/1.43 o : F term_ordering = <term ordering>
% 1.14/1.43 Conjectures : (F,X) equations = { tuple(multiply(multiply(inverse(b2),b2),a2),
% 1.14/1.43 multiply(multiply(a3,b3),c3),multiply(
% 1.14/1.43 inverse(a1),a1),
% 1.14/1.43 multiply(a4,a4)) =
% 1.14/1.43 tuple(a2,multiply(a3,multiply(b3,c3)),
% 1.14/1.43 multiply(inverse(b1),b1),multiply(b4,b4)) }
% 1.14/1.43 (1 equation(s))
% 1.14/1.43 time is now on
% 1.14/1.43
% 1.14/1.43 Initializing completion ...
% 1.14/1.43 New rule produced :
% 1.14/1.43 [1] multiply(multiply(multiply(X,Y),Z),multiply(X,Z)) -> Y
% 1.14/1.43 Current number of equations to process: 0
% 1.14/1.43 Current number of ordered equations: 0
% 1.14/1.43 Current number of rules: 1
% 1.14/1.43 New rule produced :
% 1.14/1.43 [2] multiply(X,multiply(multiply(Y,X),multiply(Y,Z))) -> Z
% 1.14/1.43 Current number of equations to process: 2
% 1.14/1.43 Current number of ordered equations: 0
% 1.14/1.43 Current number of rules: 2
% 1.14/1.43 New rule produced :
% 1.14/1.43 [3]
% 1.14/1.43 multiply(X,multiply(multiply(Y,X),Z)) <->
% 1.14/1.43 multiply(multiply(V_3,Y),multiply(V_3,Z))
% 1.14/1.43 Current number of equations to process: 8
% 1.14/1.43 Current number of ordered equations: 1
% 1.14/1.43 Current number of rules: 3
% 1.14/1.43 New rule produced :
% 1.14/1.43 [4]
% 1.14/1.43 multiply(multiply(V_3,Y),multiply(V_3,Z)) <->
% 1.14/1.43 multiply(X,multiply(multiply(Y,X),Z))
% 1.14/1.43 Current number of equations to process: 8
% 1.14/1.43 Current number of ordered equations: 0
% 1.14/1.43 Current number of rules: 4
% 1.14/1.43 New rule produced :
% 1.14/1.43 [5] multiply(multiply(Y,Z),multiply(Y,multiply(Z,X))) -> X
% 1.14/1.43 Current number of equations to process: 19
% 1.14/1.43 Current number of ordered equations: 0
% 1.14/1.43 Current number of rules: 5
% 1.14/1.43 New rule produced :
% 1.14/1.43 [6] multiply(X,multiply(Y,multiply(multiply(X,Y),Z))) -> Z
% 1.14/1.43 Current number of equations to process: 30
% 1.14/1.43 Current number of ordered equations: 0
% 1.14/1.43 Current number of rules: 6
% 1.14/1.43 New rule produced :
% 1.14/1.43 [7] multiply(multiply(multiply(X,Y),X),Z) -> multiply(Y,Z)
% 1.14/1.43 Current number of equations to process: 34
% 1.14/1.43 Current number of ordered equations: 0
% 1.14/1.43 Current number of rules: 7
% 1.14/1.43 New rule produced :
% 1.14/1.43 [8] multiply(multiply(X,multiply(Y,X)),Z) -> multiply(Y,Z)
% 1.14/1.43 Current number of equations to process: 44
% 1.14/1.43 Current number of ordered equations: 0
% 1.14/1.43 Current number of rules: 8
% 1.14/1.43 New rule produced :
% 1.14/1.43 [9] multiply(X,multiply(Y,multiply(Y,multiply(Z,X)))) -> Z
% 1.14/1.43 Current number of equations to process: 42
% 1.14/1.43 Current number of ordered equations: 1
% 1.14/1.43 Current number of rules: 9
% 1.23/1.48 New rule produced :
% 1.23/1.48 [10] multiply(multiply(multiply(multiply(X,Y),Z),X),Y) -> Z
% 1.23/1.48 Current number of equations to process: 42
% 1.23/1.48 Current number of ordered equations: 0
% 1.23/1.48 Current number of rules: 10
% 1.23/1.48 New rule produced :
% 1.23/1.48 [11] multiply(multiply(X,Y),multiply(Z,Y)) -> multiply(X,Z)
% 1.23/1.48 Rule [1] multiply(multiply(multiply(X,Y),Z),multiply(X,Z)) -> Y collapsed.
% 1.23/1.48 Current number of equations to process: 54
% 1.23/1.48 Current number of ordered equations: 0
% 1.23/1.48 Current number of rules: 10
% 1.23/1.48 New rule produced : [12] multiply(multiply(X,Y),X) -> Y
% 1.23/1.48 Rule [7] multiply(multiply(multiply(X,Y),X),Z) -> multiply(Y,Z) collapsed.
% 1.23/1.48 Current number of equations to process: 53
% 1.23/1.48 Current number of ordered equations: 0
% 1.23/1.48 Current number of rules: 10
% 1.23/1.48 New rule produced :
% 1.23/1.48 [13] multiply(multiply(Z,multiply(Z,X)),Y) -> multiply(X,Y)
% 1.23/1.48 Current number of equations to process: 65
% 1.23/1.48 Current number of ordered equations: 0
% 1.23/1.48 Current number of rules: 11
% 1.23/1.48 New rule produced :
% 1.23/1.48 [14] multiply(X,Y) <-> multiply(Z,multiply(Y,multiply(Z,X)))
% 1.23/1.48 Rule [10] multiply(multiply(multiply(multiply(X,Y),Z),X),Y) -> Z collapsed.
% 1.23/1.48 Rule [12] multiply(multiply(X,Y),X) -> Y collapsed.
% 1.23/1.48 The conjecture has been reduced.
% 1.23/1.48 Conjecture is now:
% 1.23/1.48 tuple(multiply(b4,multiply(a2,multiply(b4,multiply(b4,multiply(b2,multiply(b4,
% 1.23/1.48 inverse(b2))))))),
% 1.23/1.48 multiply(b4,multiply(c3,multiply(b4,multiply(b4,multiply(b3,multiply(b4,a3)))))),
% 1.23/1.48 multiply(b4,multiply(a1,multiply(b4,inverse(a1)))),multiply(a4,a4)) =
% 1.23/1.48 tuple(a2,multiply(a3,multiply(b4,multiply(c3,multiply(b4,b3)))),multiply(b4,
% 1.23/1.48 multiply(b1,
% 1.23/1.48 multiply(b4,
% 1.23/1.48 inverse(b1)))),
% 1.23/1.48 multiply(b4,b4))
% 1.23/1.48
% 1.23/1.48 Current number of equations to process: 82
% 1.23/1.48 Current number of ordered equations: 1
% 1.23/1.48 Current number of rules: 10
% 1.23/1.48 New rule produced :
% 1.23/1.48 [15] multiply(b4,multiply(X,multiply(b4,multiply(X,Y)))) -> Y
% 1.23/1.48 Current number of equations to process: 81
% 1.23/1.48 Current number of ordered equations: 1
% 1.23/1.48 Current number of rules: 11
% 1.23/1.48 New rule produced :
% 1.23/1.48 [16] multiply(Z,multiply(Y,multiply(Z,X))) <-> multiply(X,Y)
% 1.23/1.48 Current number of equations to process: 81
% 1.23/1.48 Current number of ordered equations: 0
% 1.23/1.48 Current number of rules: 12
% 1.23/1.48 New rule produced : [17] multiply(X,multiply(Y,X)) -> Y
% 1.23/1.48 Rule [8] multiply(multiply(X,multiply(Y,X)),Z) -> multiply(Y,Z) collapsed.
% 1.23/1.48 Current number of equations to process: 93
% 1.23/1.48 Current number of ordered equations: 0
% 1.23/1.48 Current number of rules: 12
% 1.23/1.48 New rule produced :
% 1.23/1.48 [18] multiply(Y,multiply(Z,X)) <-> multiply(multiply(X,Y),Z)
% 1.23/1.48 Current number of equations to process: 92
% 1.23/1.48 Current number of ordered equations: 1
% 1.23/1.48 Current number of rules: 13
% 1.23/1.48 New rule produced :
% 1.23/1.48 [19] multiply(multiply(X,Y),Z) <-> multiply(Y,multiply(Z,X))
% 1.23/1.48 Current number of equations to process: 92
% 1.23/1.48 Current number of ordered equations: 0
% 1.23/1.48 Current number of rules: 14
% 1.23/1.48 New rule produced : [20] multiply(Y,Y) <-> multiply(X,X)
% 1.23/1.48 The conjecture has been reduced.
% 1.23/1.48 Conjecture is now:
% 1.23/1.48 tuple(multiply(b4,multiply(a2,multiply(b4,multiply(b4,multiply(b2,multiply(b4,
% 1.23/1.48 inverse(b2))))))),
% 1.23/1.48 multiply(b4,multiply(c3,multiply(b4,multiply(b4,multiply(b3,multiply(b4,a3)))))),
% 1.23/1.48 multiply(b4,multiply(a1,multiply(b4,inverse(a1)))),multiply(b4,b4)) =
% 1.23/1.48 tuple(a2,multiply(a3,multiply(b4,multiply(c3,multiply(b4,b3)))),multiply(b4,
% 1.23/1.48 multiply(b1,
% 1.23/1.48 multiply(b4,
% 1.23/1.48 inverse(b1)))),
% 1.23/1.48 multiply(b4,b4))
% 1.23/1.48
% 1.23/1.48 Current number of equations to process: 94
% 1.23/1.48 Current number of ordered equations: 0
% 1.23/1.48 Current number of rules: 15
% 1.23/1.48 New rule produced : [21] multiply(X,multiply(Y,Y)) -> X
% 1.23/1.48 Current number of equations to process: 100
% 1.23/1.48 Current number of ordered equations: 0
% 1.23/1.48 Current number of rules: 16
% 1.23/1.48 New rule produced :
% 1.23/1.48 [22] multiply(multiply(multiply(Z,Z),X),Y) -> multiply(X,Y)
% 1.23/1.48 Current number of equations to process: 122
% 1.23/1.48 Current number of ordered equations: 0
% 1.23/1.54 Current number of rules: 17
% 1.23/1.54 New rule produced : [23] multiply(Y,multiply(Y,X)) -> X
% 1.23/1.54 Rule [9] multiply(X,multiply(Y,multiply(Y,multiply(Z,X)))) -> Z collapsed.
% 1.23/1.54 Rule [13] multiply(multiply(Z,multiply(Z,X)),Y) -> multiply(X,Y) collapsed.
% 1.23/1.54 The conjecture has been reduced.
% 1.23/1.54 Conjecture is now:
% 1.23/1.54 tuple(multiply(b4,multiply(a2,multiply(b2,multiply(b4,inverse(b2))))),
% 1.23/1.54 multiply(b4,multiply(c3,multiply(b3,multiply(b4,a3)))),multiply(b4,multiply(a1,
% 1.23/1.54 multiply(b4,
% 1.23/1.54 inverse(a1)))),
% 1.23/1.54 multiply(b4,b4)) = tuple(a2,multiply(a3,multiply(b4,multiply(c3,multiply(b4,b3)))),
% 1.23/1.54 multiply(b4,multiply(b1,multiply(b4,inverse(b1)))),
% 1.23/1.54 multiply(b4,b4))
% 1.23/1.54
% 1.23/1.54 Current number of equations to process: 136
% 1.23/1.54 Current number of ordered equations: 0
% 1.23/1.54 Current number of rules: 16
% 1.23/1.54 New rule produced :
% 1.23/1.54 [24] multiply(multiply(X,Y),Z) <-> multiply(multiply(Y,X),Z)
% 1.23/1.54 Current number of equations to process: 135
% 1.23/1.54 Current number of ordered equations: 0
% 1.23/1.54 Current number of rules: 17
% 1.23/1.54 New rule produced :
% 1.23/1.54 [25] multiply(multiply(b4,X),Y) -> multiply(b4,multiply(X,Y))
% 1.23/1.54 Current number of equations to process: 153
% 1.23/1.54 Current number of ordered equations: 0
% 1.23/1.54 Current number of rules: 18
% 1.23/1.54 New rule produced :
% 1.23/1.54 [26] multiply(b4,multiply(multiply(X,b4),Y)) -> multiply(X,Y)
% 1.23/1.54 Current number of equations to process: 152
% 1.23/1.54 Current number of ordered equations: 0
% 1.23/1.54 Current number of rules: 19
% 1.23/1.54 New rule produced :
% 1.23/1.54 [27] multiply(multiply(X,multiply(Y,Z)),multiply(Z,Y)) -> X
% 1.23/1.54 Current number of equations to process: 156
% 1.23/1.54 Current number of ordered equations: 0
% 1.23/1.54 Current number of rules: 20
% 1.23/1.54 New rule produced :
% 1.23/1.54 [28] multiply(X,multiply(multiply(X,Y),multiply(Y,Z))) -> Z
% 1.23/1.54 Current number of equations to process: 155
% 1.23/1.54 Current number of ordered equations: 0
% 1.23/1.54 Current number of rules: 21
% 1.23/1.54 New rule produced :
% 1.23/1.54 [29] multiply(multiply(X,Y),multiply(Y,multiply(X,Z))) -> Z
% 1.23/1.54 Current number of equations to process: 154
% 1.23/1.54 Current number of ordered equations: 0
% 1.23/1.55 Current number of rules: 22
% 1.23/1.55 New rule produced :
% 1.23/1.55 [30] multiply(Y,multiply(Z,multiply(multiply(Z,Y),X))) -> X
% 1.23/1.55 Current number of equations to process: 153
% 1.23/1.55 Current number of ordered equations: 0
% 1.23/1.55 Current number of rules: 23
% 1.23/1.55 New rule produced :
% 1.23/1.55 [31] multiply(Y,multiply(b4,multiply(Y,X))) -> multiply(b4,X)
% 1.23/1.55 Rule [15] multiply(b4,multiply(X,multiply(b4,multiply(X,Y)))) -> Y collapsed.
% 1.23/1.55 Current number of equations to process: 163
% 1.23/1.55 Current number of ordered equations: 0
% 1.23/1.55 Current number of rules: 23
% 1.23/1.55 New rule produced :
% 1.23/1.55 [32] multiply(Z,multiply(multiply(Z,X),Y)) -> multiply(X,Y)
% 1.23/1.55 Rule [28] multiply(X,multiply(multiply(X,Y),multiply(Y,Z))) -> Z collapsed.
% 1.23/1.55 Rule [30] multiply(Y,multiply(Z,multiply(multiply(Z,Y),X))) -> X collapsed.
% 1.23/1.55 Current number of equations to process: 168
% 1.23/1.55 Current number of ordered equations: 0
% 1.23/1.55 Current number of rules: 22
% 1.23/1.55 New rule produced :
% 1.23/1.55 [33] multiply(multiply(X,Y),Z) <-> multiply(multiply(X,Z),Y)
% 1.23/1.55 Current number of equations to process: 171
% 1.23/1.55 Current number of ordered equations: 0
% 1.23/1.55 Current number of rules: 23
% 1.23/1.55 New rule produced :
% 1.23/1.55 [34] multiply(X,multiply(Y,Z)) <-> multiply(Z,multiply(X,Y))
% 1.23/1.55 Rule [11] multiply(multiply(X,Y),multiply(Z,Y)) -> multiply(X,Z) collapsed.
% 1.23/1.55 Rule [27] multiply(multiply(X,multiply(Y,Z)),multiply(Z,Y)) -> X collapsed.
% 1.23/1.55 Current number of equations to process: 194
% 1.23/1.55 Current number of ordered equations: 1
% 1.23/1.55 Current number of rules: 22
% 1.23/1.55 New rule produced :
% 1.23/1.55 [35] multiply(Z,multiply(X,Y)) <-> multiply(X,multiply(Y,Z))
% 1.23/1.55 Current number of equations to process: 194
% 1.23/1.55 Current number of ordered equations: 0
% 1.23/1.55 Current number of rules: 23
% 1.23/1.55 Rule [4]
% 1.23/1.55 multiply(multiply(V_3,Y),multiply(V_3,Z)) <->
% 1.23/1.55 multiply(X,multiply(multiply(Y,X),Z)) is composed into [4]
% 1.23/1.55 multiply(
% 1.23/1.55 multiply(V_3,Y),
% 1.23/1.55 multiply(V_3,Z))
% 1.23/1.55 -> multiply(Y,Z)
% 1.23/1.55 New rule produced :
% 1.23/1.55 [36] multiply(Y,multiply(multiply(X,Y),Z)) -> multiply(X,Z)
% 3.07/3.26 Rule [2] multiply(X,multiply(multiply(Y,X),multiply(Y,Z))) -> Z collapsed.
% 3.07/3.26 Rule
% 3.07/3.26 [3]
% 3.07/3.26 multiply(X,multiply(multiply(Y,X),Z)) <->
% 3.07/3.26 multiply(multiply(V_3,Y),multiply(V_3,Z)) collapsed.
% 3.07/3.26 Rule [6] multiply(X,multiply(Y,multiply(multiply(X,Y),Z))) -> Z collapsed.
% 3.07/3.26 Rule [26] multiply(b4,multiply(multiply(X,b4),Y)) -> multiply(X,Y) collapsed.
% 3.07/3.26 Current number of equations to process: 205
% 3.07/3.26 Current number of ordered equations: 0
% 3.07/3.26 Current number of rules: 20
% 3.07/3.26 multiply(Y,X) = multiply(X,Y) (birth = 130, lhs_size = 3, rhs_size = 7,trace = Cp of 16 and 5)
% 3.07/3.26 Initializing completion ...
% 3.07/3.26 New rule produced : [1] Y multiply Y <-> X multiply X
% 3.07/3.26 Current number of equations to process: 181
% 3.07/3.26 Current number of ordered equations: 30
% 3.07/3.26 Current number of rules: 1
% 3.07/3.26 New rule produced : [2] X <-> (X multiply Y) multiply Y
% 3.07/3.26 Current number of equations to process: 181
% 3.07/3.26 Current number of ordered equations: 28
% 3.07/3.26 Current number of rules: 2
% 3.07/3.26 New rule produced : [3] X <-> (Y multiply Y) multiply X
% 3.07/3.26 Current number of equations to process: 181
% 3.07/3.26 Current number of ordered equations: 26
% 3.07/3.26 Current number of rules: 3
% 3.07/3.26 New rule produced : [4] (X multiply Y) multiply Y <-> X
% 3.07/3.26 Current number of equations to process: 181
% 3.07/3.26 Current number of ordered equations: 24
% 3.07/3.26 Current number of rules: 4
% 3.07/3.26 New rule produced : [5] (Y multiply Y) multiply X <-> X
% 3.07/3.26 Current number of equations to process: 181
% 3.07/3.26 Current number of ordered equations: 22
% 3.07/3.26 Current number of rules: 5
% 3.07/3.26 (X multiply Y) multiply Z = (X multiply Z) multiply Y (birth = 0, lhs_size = 5, rhs_size = 5,trace = in the starting set)
% 3.07/3.26 Initializing completion ...
% 3.07/3.26 New rule produced : [1] Y multiply Y <-> X multiply X
% 3.07/3.26 Current number of equations to process: 78
% 3.07/3.26 Current number of ordered equations: 4
% 3.07/3.26 Current number of rules: 1
% 3.07/3.26 New rule produced : [2] X <-> X multiply Y multiply Y
% 3.07/3.26 Current number of equations to process: 82
% 3.07/3.26 Current number of ordered equations: 3
% 3.07/3.26 Current number of rules: 2
% 3.07/3.26 New rule produced : [3] X multiply Y multiply Y <-> X
% 3.07/3.26 Current number of equations to process: 82
% 3.07/3.26 Current number of ordered equations: 2
% 3.07/3.26 Current number of rules: 3
% 3.07/3.26 New rule produced : [4] Y <-> X multiply X multiply Y multiply Z multiply Z
% 3.07/3.26 Current number of equations to process: 75
% 3.07/3.26 Current number of ordered equations: 1
% 3.07/3.26 Current number of rules: 4
% 3.07/3.26 New rule produced : [5] X multiply X multiply Y multiply Z multiply Z <-> Y
% 3.07/3.26 Current number of equations to process: 75
% 3.07/3.26 Current number of ordered equations: 0
% 3.07/3.26 Current number of rules: 5
% 3.07/3.26 New rule produced :
% 3.07/3.26 [6]
% 3.07/3.26 Z multiply Z multiply V_3 multiply V_3 <-> X multiply X multiply Y multiply Y
% 3.07/3.26 Current number of equations to process: 79
% 3.07/3.26 Current number of ordered equations: 0
% 3.07/3.26 Current number of rules: 6
% 3.07/3.26 New rule produced :
% 3.07/3.26 [7]
% 3.07/3.26 Y multiply V_3 multiply V_3 <-> X multiply X multiply Y multiply Z multiply Z
% 3.07/3.26 Current number of equations to process: 100
% 3.07/3.26 Current number of ordered equations: 2
% 3.07/3.26 Current number of rules: 7
% 3.07/3.26 New rule produced :
% 3.07/3.26 [8]
% 3.07/3.26 X multiply X multiply Y multiply Y multiply Z <-> Z multiply V_3 multiply V_3
% 3.07/3.26 Current number of equations to process: 100
% 3.07/3.26 Current number of ordered equations: 0
% 3.07/3.26 Current number of rules: 8
% 3.07/3.26 New rule produced :
% 3.07/3.26 [9]
% 3.07/3.26 Z <-> b4 multiply b4 multiply X multiply X multiply Y multiply Y multiply Z
% 3.07/3.26 Current number of equations to process: 162
% 3.07/3.26 Current number of ordered equations: 5
% 3.07/3.26 Current number of rules: 9
% 3.07/3.26 New rule produced :
% 3.07/3.26 [10]
% 3.07/3.26 Z <-> X multiply X multiply Y multiply Y multiply Z multiply V_3 multiply V_3
% 3.07/3.26 Rule
% 3.07/3.26 [9]
% 3.07/3.26 Z <-> b4 multiply b4 multiply X multiply X multiply Y multiply Y multiply Z
% 3.07/3.26 collapsed.
% 3.07/3.26 Current number of equations to process: 162
% 3.07/3.26 Current number of ordered equations: 3
% 3.07/3.26 Current number of rules: 9
% 3.07/3.26 New rule produced :
% 3.07/3.26 [11]
% 3.07/3.26 b4 multiply b4 multiply X multiply X multiply Y multiply Y multiply Z <-> Z
% 3.07/3.26 Current number of equations to process: 162
% 3.07/3.26 Current number of ordered equations: 2
% 3.07/3.26 Current number of rules: 10
% 3.07/3.26 New rule produced :
% 3.07/3.26 [12]
% 3.07/3.26 X multiply X multiply Y multiply Y multiply Z multiply Z multiply V_3 <-> V_3
% 3.07/3.26 Rule
% 3.07/3.26 [11]
% 3.07/3.26 b4 multiply b4 multiply X multiply X multiply Y multiply Y multiply Z <-> Z
% 3.07/3.26 collapsed.
% 3.07/3.26 Current number of equations to process: 162
% 3.07/3.26 Current number of ordered equations: 0
% 3.07/3.26 Current numbe
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