TSTP Solution File: ALG238-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : ALG238-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n053.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 00:18:18 EDT 2014

% Result   : Timeout 300.07s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : ALG238-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n053.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 06:07:03 CDT 2014
% % CPUTime  : 300.07 
% Processing problem /tmp/CiME_4079_n053.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " d,c,b,a : constant;  mult : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% mult(A,mult(B,C)) = mult(mult(A,B),mult(A,C));
% mult(mult(A,B),C) = mult(mult(A,C),mult(B,C));
% ";
% 
% let s1 = status F "
% d lr_lex;
% c lr_lex;
% b lr_lex;
% a lr_lex;
% mult mul;
% ";
% 
% let p1 = precedence F "
% mult > a > b > c > d";
% 
% let s2 = status F "
% d mul;
% c mul;
% b mul;
% a mul;
% mult mul;
% ";
% 
% let p2 = precedence F "
% mult > a = b = c = d";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " mult(mult(mult(a,b),mult(c,d)),mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d)))) = mult(mult(a,c),mult(b,d));"
% ;
% (*
% 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 = { mult(A,mult(B,C)) = mult(mult(A,B),mult(A,C)),
% mult(mult(A,B),C) = mult(mult(A,C),mult(B,C)) }
% (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 = { mult(mult(mult(a,b),mult(c,d)),mult(
% mult(
% mult(a,b),
% mult(c,d)),
% mult(
% mult(a,c),
% mult(b,d))))
% = mult(mult(a,c),mult(b,d)) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] mult(A,mult(B,C)) <-> mult(mult(A,B),mult(A,C))
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 1
% New rule produced : [2] mult(mult(A,B),C) <-> mult(mult(A,C),mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 2
% New rule produced : [3] mult(mult(A,B),mult(A,C)) <-> mult(A,mult(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced : [4] mult(mult(A,C),mult(B,C)) <-> mult(mult(A,B),C)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] mult(A,mult(B,B)) <-> mult(mult(A,A),B)
% Current number of equations to process: 25
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced : [6] mult(mult(A,A),B) <-> mult(A,mult(B,B))
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7] mult(A,mult(B,mult(C,C))) <-> mult(mult(A,A),mult(B,C))
% Current number of equations to process: 45
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [8] mult(mult(A,A),mult(B,C)) <-> mult(A,mult(B,mult(C,C)))
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] mult(A,mult(A,mult(B,B))) -> mult(A,mult(A,B))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] mult(A,mult(mult(A,A),B)) -> mult(A,mult(A,B))
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11] mult(A,mult(mult(B,B),C)) <-> mult(mult(A,A),mult(B,C))
% Rule [10] mult(A,mult(mult(A,A),B)) -> mult(A,mult(A,B)) collapsed.
% Current number of equations to process: 116
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [12] mult(mult(A,A),mult(B,C)) <-> mult(A,mult(mult(B,B),C))
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [13] mult(A,mult(mult(B,B),A)) -> mult(mult(A,B),A)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [14] mult(mult(A,B),mult(C,C)) <-> mult(mult(A,mult(B,B)),C)
% Current number of equations to process: 196
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced :
% [15] mult(mult(A,mult(B,B)),C) <-> mult(mult(A,B),mult(C,C))
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [16] mult(mult(A,mult(B,B)),A) -> mult(A,mult(B,A))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [17] mult(mult(mult(A,A),B),A) -> mult(A,mult(B,A))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [18] mult(mult(A,B),mult(C,C)) <-> mult(mult(mult(A,A),B),C)
% Current number of equations to process: 308
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [19] mult(mult(mult(A,A),B),C) <-> mult(mult(A,B),mult(C,C))
% Rule [17] mult(mult(mult(A,A),B),A) -> mult(A,mult(B,A)) collapsed.
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [20] mult(mult(mult(A,A),B),B) -> mult(mult(A,B),B)
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [21] mult(A,mult(mult(B,B),B)) <-> mult(mult(mult(A,A),A),B)
% Current number of equations to process: 414
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [22] mult(mult(mult(A,A),A),B) <-> mult(A,mult(mult(B,B),B))
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [23] mult(A,mult(B,mult(B,B))) <-> mult(mult(mult(A,A),A),B)
% Current number of equations to process: 468
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [24] mult(mult(mult(A,A),A),B) <-> mult(A,mult(B,mult(B,B)))
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [25] mult(A,mult(mult(B,B),B)) <-> mult(mult(A,mult(A,A)),B)
% Current number of equations to process: 521
% Current number of ordered equations: 3
% Current number of rules: 23
% New rule produced :
% [26] mult(mult(A,mult(A,A)),B) <-> mult(A,mult(mult(B,B),B))
% Current number of equations to process: 522
% Current number of ordered equations: 2
% Current number of rules: 24
% New rule produced :
% [27] mult(A,mult(B,mult(B,B))) <-> mult(mult(A,mult(A,A)),B)
% Current number of equations to process: 577
% Current number of ordered equations: 3
% Current number of rules: 25
% New rule produced :
% [28] mult(mult(A,mult(A,A)),B) <-> mult(A,mult(B,mult(B,B)))
% Current number of equations to process: 578
% Current number of ordered equations: 2
% Current number of rules: 26
% New rule produced :
% [29] mult(A,mult(mult(A,B),A)) <-> mult(A,mult(A,mult(B,A)))
% Current number of equations to process: 635
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [30] mult(A,mult(A,mult(B,A))) <-> mult(A,mult(mult(A,B),A))
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [31] mult(A,mult(mult(A,B),A)) <-> mult(mult(A,mult(A,B)),A)
% Current number of equations to process: 743
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [32] mult(mult(A,mult(A,B)),A) <-> mult(A,mult(mult(A,B),A))
% Current number of equations to process: 745
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [33] mult(A,mult(mult(B,A),A)) <-> mult(mult(mult(A,B),A),A)
% Current number of equations to process: 855
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [34] mult(mult(mult(A,B),A),A) <-> mult(A,mult(mult(B,A),A))
% Current number of equations to process: 857
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [35] mult(A,mult(A,mult(B,A))) <-> mult(mult(A,mult(A,B)),A)
% Current number of equations to process: 974
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [36] mult(mult(A,mult(A,B)),A) <-> mult(A,mult(A,mult(B,A)))
% Current number of equations to process: 976
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [37] mult(A,mult(mult(B,A),A)) <-> mult(mult(A,mult(B,A)),A)
% Current number of equations to process: 1106
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [38] mult(mult(A,mult(B,A)),A) <-> mult(A,mult(mult(B,A),A))
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [39] mult(mult(mult(A,B),A),A) <-> mult(mult(A,mult(B,A)),A)
% Current number of equations to process: 1241
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [40] mult(mult(A,mult(B,A)),A) <-> mult(mult(mult(A,B),A),A)
% Current number of equations to process: 1243
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [41] mult(mult(A,A),mult(mult(A,A),B)) -> mult(A,mult(A,B))
% Current number of equations to process: 1383
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [42] mult(mult(A,mult(A,A)),mult(A,B)) -> mult(A,mult(A,B))
% Current number of equations to process: 1412
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [43] mult(A,mult(mult(mult(A,A),A),B)) -> mult(A,mult(A,B))
% Current number of equations to process: 1462
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [44] mult(mult(A,A),mult(B,mult(A,A))) -> mult(mult(A,B),A)
% Current number of equations to process: 1499
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [45] mult(A,mult(B,A)) <-> mult(mult(A,B),A)
% Rule [30] mult(A,mult(A,mult(B,A))) <-> mult(A,mult(mult(A,B),A)) collapsed.
% Rule [31] mult(A,mult(mult(A,B),A)) <-> mult(mult(A,mult(A,B)),A) collapsed.
% Rule [37] mult(A,mult(mult(B,A),A)) <-> mult(mult(A,mult(B,A)),A) collapsed.
% Rule [40] mult(mult(A,mult(B,A)),A) <-> mult(mult(mult(A,B),A),A) collapsed.
% Current number of equations to process: 1503
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced : [46] mult(mult(A,B),A) <-> mult(A,mult(B,A))
% Rule [29] mult(A,mult(mult(A,B),A)) <-> mult(A,mult(A,mult(B,A))) collapsed.
% Rule [32] mult(mult(A,mult(A,B)),A) <-> mult(A,mult(mult(A,B),A)) collapsed.
% Rule [38] mult(mult(A,mult(B,A)),A) <-> mult(A,mult(mult(B,A),A)) collapsed.
% Rule [39] mult(mult(mult(A,B),A),A) <-> mult(mult(A,mult(B,A)),A) collapsed.
% Current number of equations to process: 1503
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [47] mult(mult(mult(A,A),A),mult(B,A)) -> mult(A,mult(B,A))
% Current number of equations to process: 1637
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [48] mult(mult(mult(mult(A,A),A),B),A) -> mult(mult(A,B),A)
% Current number of equations to process: 1686
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [49] mult(mult(mult(A,mult(A,A)),B),A) -> mult(mult(A,B),A)
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [50] mult(mult(mult(A,A),B),mult(A,A)) -> mult(mult(A,B),A)
% Current number of equations to process: 1760
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [51] mult(mult(A,B),mult(A,mult(A,A))) -> mult(mult(A,B),A)
% Current number of equations to process: 1792
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [52] mult(mult(mult(A,A),A),mult(A,B)) -> mult(A,mult(A,B))
% Current number of equations to process: 1835
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [53] mult(A,mult(mult(A,mult(A,A)),B)) -> mult(A,mult(A,B))
% Current number of equations to process: 1874
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [54] mult(A,mult(A,mult(mult(B,B),B))) -> mult(A,mult(A,B))
% Current number of equations to process: 1906
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [55] mult(A,mult(A,mult(B,mult(B,B)))) -> mult(A,mult(A,B))
% Current number of equations to process: 1941
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [56] mult(A,mult(B,mult(mult(A,A),A))) -> mult(mult(A,B),A)
% Current number of equations to process: 1972
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [57] mult(mult(A,B),mult(mult(A,A),A)) -> mult(mult(A,B),A)
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [58] mult(mult(A,mult(A,A)),mult(B,A)) -> mult(A,mult(B,A))
% Current number of equations to process: 2046
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [59] mult(mult(A,mult(mult(B,B),B)),A) -> mult(mult(A,B),A)
% Current number of equations to process: 2088
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [60] mult(mult(A,mult(B,mult(B,B))),A) -> mult(mult(A,B),A)
% Current number of equations to process: 2134
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [61] mult(A,mult(B,mult(A,mult(A,A)))) -> mult(mult(A,B),A)
% Current number of equations to process: 2163
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [62] mult(A,mult(mult(mult(B,B),B),A)) -> mult(mult(A,B),A)
% Current number of equations to process: 2195
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [63] mult(A,mult(mult(B,mult(B,B)),A)) -> mult(mult(A,B),A)
% Current number of equations to process: 2242
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [64] mult(A,mult(mult(B,B),C)) <-> mult(mult(A,B),mult(A,mult(C,C)))
% Current number of equations to process: 2281
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [65] mult(mult(A,B),mult(A,mult(C,C))) <-> mult(A,mult(mult(B,B),C))
% Current number of equations to process: 2281
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [66] mult(mult(A,C),mult(B,C)) <-> mult(mult(A,mult(B,B)),C)
% Current number of equations to process: 2308
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [67] mult(mult(A,mult(B,B)),C) <-> mult(mult(A,C),mult(B,C))
% Current number of equations to process: 2308
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [68] mult(A,mult(B,B)) <-> mult(mult(A,mult(A,A)),B)
% Current number of equations to process: 2596
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced : [69] mult(mult(A,mult(A,A)),B) <-> mult(A,mult(B,B))
% Current number of equations to process: 2596
% Current number of ordered equations: 0
% Current number of rules: 59
% Rule [68] mult(A,mult(B,B)) <-> mult(mult(A,mult(A,A)),B) is composed into 
% [68] mult(A,mult(B,B)) <-> mult(mult(A,A),B)
% Rule [66] mult(mult(A,C),mult(B,C)) <-> mult(mult(A,mult(B,B)),C) is composed into 
% [66] mult(mult(A,C),mult(B,C)) <-> mult(mult(A,B),C)
% Rule [27] mult(A,mult(B,mult(B,B))) <-> mult(mult(A,mult(A,A)),B) is composed into 
% [27] mult(A,mult(B,mult(B,B))) <-> mult(mult(A,A),B)
% Rule [25] mult(A,mult(mult(B,B),B)) <-> mult(mult(A,mult(A,A)),B) is composed into 
% [25] mult(A,mult(mult(B,B),B)) <-> mult(mult(A,A),B)
% Rule [14] mult(mult(A,B),mult(C,C)) <-> mult(mult(A,mult(B,B)),C) is composed into 
% [14] mult(mult(A,B),mult(C,C)) -> mult(mult(A,B),C)
% New rule produced : [70] mult(mult(A,mult(B,B)),C) -> mult(mult(A,B),C)
% Rule [15] mult(mult(A,mult(B,B)),C) <-> mult(mult(A,B),mult(C,C)) collapsed.
% Rule [16] mult(mult(A,mult(B,B)),A) -> mult(A,mult(B,A)) collapsed.
% Rule [26] mult(mult(A,mult(A,A)),B) <-> mult(A,mult(mult(B,B),B)) collapsed.
% Rule [28] mult(mult(A,mult(A,A)),B) <-> mult(A,mult(B,mult(B,B))) collapsed.
% Rule [42] mult(mult(A,mult(A,A)),mult(A,B)) -> mult(A,mult(A,B)) collapsed.
% Rule [49] mult(mult(mult(A,mult(A,A)),B),A) -> mult(mult(A,B),A) collapsed.
% Rule [53] mult(A,mult(mult(A,mult(A,A)),B)) -> mult(A,mult(A,B)) collapsed.
% Rule [58] mult(mult(A,mult(A,A)),mult(B,A)) -> mult(A,mult(B,A)) collapsed.
% Rule [63] mult(A,mult(mult(B,mult(B,B)),A)) -> mult(mult(A,B),A) collapsed.
% Rule [67] mult(mult(A,mult(B,B)),C) <-> mult(mult(A,C),mult(B,C)) collapsed.
% Rule [69] mult(mult(A,mult(A,A)),B) <-> mult(A,mult(B,B)) collapsed.
% Current number of equations to process: 2608
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [71] mult(mult(A,B),mult(C,B)) <-> mult(mult(mult(A,A),C),B)
% Current number of equations to process: 2662
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [72] mult(mult(mult(A,A),C),B) <-> mult(mult(A,B),mult(C,B))
% Current number of equations to process: 2662
% Current number of ordered equations: 0
% Current number of rules: 51
% Rule [71] mult(mult(A,B),mult(C,B)) <-> mult(mult(mult(A,A),C),B) is composed into 
% [71] mult(mult(A,B),mult(C,B)) <-> mult(mult(A,C),B)
% Rule [23] mult(A,mult(B,mult(B,B))) <-> mult(mult(mult(A,A),A),B) is composed into 
% [23] mult(A,mult(B,mult(B,B))) <-> mult(mult(A,A),B)
% Rule [21] mult(A,mult(mult(B,B),B)) <-> mult(mult(mult(A,A),A),B) is composed into 
% [21] mult(A,mult(mult(B,B),B)) <-> mult(mult(A,A),B)
% Rule [18] mult(mult(A,B),mult(C,C)) <-> mult(mult(mult(A,A),B),C) is composed into 
% [18] mult(mult(A,B),mult(C,C)) -> mult(mult(A,B),C)
% New rule produced : [73] mult(mult(mult(A,A),B),C) -> mult(mult(A,B),C)
% Rule [19] mult(mult(mult(A,A),B),C) <-> mult(mult(A,B),mult(C,C)) collapsed.
% Rule [20] mult(mult(mult(A,A),B),B) -> mult(mult(A,B),B) collapsed.
% Rule [22] mult(mult(mult(A,A),A),B) <-> mult(A,mult(mult(B,B),B)) collapsed.
% Rule [24] mult(mult(mult(A,A),A),B) <-> mult(A,mult(B,mult(B,B))) collapsed.
% Rule [43] mult(A,mult(mult(mult(A,A),A),B)) -> mult(A,mult(A,B)) collapsed.
% Rule [47] mult(mult(mult(A,A),A),mult(B,A)) -> mult(A,mult(B,A)) collapsed.
% Rule [48] mult(mult(mult(mult(A,A),A),B),A) -> mult(mult(A,B),A) collapsed.
% Rule [50] mult(mult(mult(A,A),B),mult(A,A)) -> mult(mult(A,B),A) collapsed.
% Rule [52] mult(mult(mult(A,A),A),mult(A,B)) -> mult(A,mult(A,B)) collapsed.
% Rule [62] mult(A,mult(mult(mult(B,B),B),A)) -> mult(mult(A,B),A) collapsed.
% Rule [72] mult(mult(mult(A,A),C),B) <-> mult(mult(A,B),mult(C,B)) collapsed.
% Current number of equations to process: 2739
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [74] mult(A,mult(mult(B,B),C)) <-> mult(mult(A,B),mult(A,C))
% Current number of equations to process: 2790
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [75] mult(mult(A,B),mult(A,C)) <-> mult(A,mult(mult(B,B),C))
% Current number of equations to process: 2790
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [76] mult(A,mult(B,mult(B,B))) <-> mult(mult(A,B),mult(A,B))
% Current number of equations to process: 2990
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [77] mult(mult(A,B),mult(A,B)) <-> mult(A,mult(B,mult(B,B)))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [78] mult(mult(A,B),mult(A,C)) <-> mult(mult(A,A),mult(B,C))
% Current number of equations to process: 2989
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [79] mult(mult(A,A),mult(B,C)) <-> mult(mult(A,B),mult(A,C))
% Current number of equations to process: 2989
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [80] mult(A,mult(B,mult(C,C))) <-> mult(mult(A,B),mult(A,C))
% Rule [76] mult(A,mult(B,mult(B,B))) <-> mult(mult(A,B),mult(A,B)) collapsed.
% Current number of equations to process: 2988
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [81] mult(mult(A,B),mult(A,C)) <-> mult(A,mult(B,mult(C,C)))
% Rule [77] mult(mult(A,B),mult(A,B)) <-> mult(A,mult(B,mult(B,B))) collapsed.
% Current number of equations to process: 2988
% Current number of ordered equations: 0
% Current number of rules: 47
% Rule [75] mult(mult(A,B),mult(A,C)) <-> mult(A,mult(mult(B,B),C)) is composed into 
% [75] mult(mult(A,B),mult(A,C)) <-> mult(A,mult(B,C))
% Rule [65] mult(mult(A,B),mult(A,mult(C,C))) <-> mult(A,mult(mult(B,B),C)) is composed into 
% [65] mult(mult(A,B),mult(A,mult(C,C))) <-> mult(A,mult(B,C))
% Rule [12] mult(mult(A,A),mult(B,C)) <-> mult(A,mult(mult(B,B),C)) is composed into 
% [12] mult(mult(A,A),mult(B,C)) -> mult(A,mult(B,C))
% New rule produced : [82] mult(A,mult(mult(B,B),C)) -> mult(A,mult(B,C))
% Rule [11] mult(A,mult(mult(B,B),C)) <-> mult(mult(A,A),mult(B,C)) collapsed.
% Rule [13] mult(A,mult(mult(B,B),A)) -> mult(mult(A,B),A) collapsed.
% Rule [21] mult(A,mult(mult(B,B),B)) <-> mult(mult(A,A),B) collapsed.
% Rule [25] mult(A,mult(mult(B,B),B)) <-> mult(mult(A,A),B) collapsed.
% Rule [41] mult(mult(A,A),mult(mult(A,A),B)) -> mult(A,mult(A,B)) collapsed.
% Rule [54] mult(A,mult(A,mult(mult(B,B),B))) -> mult(A,mult(A,B)) collapsed.
% Rule [56] mult(A,mult(B,mult(mult(A,A),A))) -> mult(mult(A,B),A) collapsed.
% Rule [57] mult(mult(A,B),mult(mult(A,A),A)) -> mult(mult(A,B),A) collapsed.
% Rule [59] mult(mult(A,mult(mult(B,B),B)),A) -> mult(mult(A,B),A) collapsed.
% Rule [64] mult(A,mult(mult(B,B),C)) <-> mult(mult(A,B),mult(A,mult(C,C)))
% collapsed.
% Rule [74] mult(A,mult(mult(B,B),C)) <-> mult(mult(A,B),mult(A,C)) collapsed.
% Current number of equations to process: 3043
% Current number of ordered equations: 0
% Current number of rules: 37
% Rule [81] mult(mult(A,B),mult(A,C)) <-> mult(A,mult(B,mult(C,C))) is composed into 
% [81] mult(mult(A,B),mult(A,C)) <-> mult(A,mult(B,C))
% Rule [8] mult(mult(A,A),mult(B,C)) <-> mult(A,mult(B,mult(C,C))) is composed into 
% [8] mult(mult(A,A),mult(B,C)) -> mult(A,mult(B,C))
% New rule produced : [83] mult(A,mult(B,mult(C,C))) -> mult(A,mult(B,C))
% Rule [7] mult(A,mult(B,mult(C,C))) <-> mult(mult(A,A),mult(B,C)) collapsed.
% Rule [9] mult(A,mult(A,mult(B,B))) -> mult(A,mult(A,B)) collapsed.
% Rule [23] mult(A,mult(B,mult(B,B))) <-> mult(mult(A,A),B) collapsed.
% Rule [27] mult(A,mult(B,mult(B,B))) <-> mult(mult(A,A),B) collapsed.
% Rule [44] mult(mult(A,A),mult(B,mult(A,A))) -> mult(mult(A,B),A) collapsed.
% Rule [51] mult(mult(A,B),mult(A,mult(A,A))) -> mult(mult(A,B),A) collapsed.
% Rule [55] mult(A,mult(A,mult(B,mult(B,B)))) -> mult(A,mult(A,B)) collapsed.
% Rule [60] mult(mult(A,mult(B,mult(B,B))),A) -> mult(mult(A,B),A) collapsed.
% Rule [61] mult(A,mult(B,mult(A,mult(A,A)))) -> mult(mult(A,B),A) collapsed.
% Rule [65] mult(mult(A,B),mult(A,mult(C,C))) <-> mult(A,mult(B,C)) collapsed.
% Rule [80] mult(A,mult(B,mult(C,C))) <-> mult(mult(A,B),mult(A,C)) collapsed.
% Current number of equations to process: 3047
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [84] mult(mult(mult(A,B),mult(A,B)),C) -> mult(mult(A,B),C)
% Current number of equations to process: 3151
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [85] mult(A,mult(mult(B,C),mult(B,C))) -> mult(A,mult(B,C))
% Current number of equations to process: 3156
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [86] mult(A,mult(mult(B,C),B)) <-> mult(mult(A,B),mult(A,mult(C,B)))
% Current number of equations to process: 3103
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [87] mult(mult(A,B),mult(A,mult(C,B))) <-> mult(A,mult(mult(B,C),B))
% Current number of equations to process: 3103
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [88] mult(mult(A,C),mult(mult(B,A),C)) <-> mult(mult(mult(A,B),A),C)
% Current number of equations to process: 3223
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [89] mult(mult(mult(A,B),A),C) <-> mult(mult(A,C),mult(mult(B,A),C))
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [90] mult(A,mult(B,mult(A,B))) <-> mult(mult(mult(A,B),A),mult(A,B))
% Current number of equations to process: 3346
% Current number of ordered equations: 5
% Current number of rules: 34
% New rule produced :
% [91] mult(A,mult(mult(B,A),C)) <-> mult(mult(mult(A,B),A),mult(A,C))
% Current number of equations to process: 3346
% Current number of ordered equations: 4
% Current number of rules: 35
% New rule produced :
% [92] mult(A,mult(B,mult(C,A))) <-> mult(mult(A,B),mult(mult(A,C),A))
% Current number of equations to process: 3346
% Current number of ordered equations: 3
% Current number of rules: 36
% New rule produced :
% [93] mult(mult(A,B),mult(mult(A,C),A)) <-> mult(A,mult(B,mult(C,A)))
% Current number of equations to process: 3346
% Current number of ordered equations: 2
% Current number of rules: 37
% New rule produced :
% [94] mult(mult(mult(A,B),A),mult(A,B)) <-> mult(A,mult(B,mult(A,B)))
% Current number of equations to process: 3346
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [95] mult(mult(mult(A,B),A),mult(A,C)) <-> mult(A,mult(mult(B,A),C))
% Current number of equations to process: 3346
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [96] mult(A,mult(B,mult(C,B))) <-> mult(mult(A,mult(B,C)),mult(A,B))
% Current number of equations to process: 3757
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [97] mult(mult(A,mult(B,C)),mult(A,B)) <-> mult(A,mult(B,mult(C,B)))
% Current number of equations to process: 3757
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [98] mult(mult(mult(A,B),C),mult(A,C)) <-> mult(mult(A,mult(B,A)),C)
% Current number of equations to process: 3943
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [99] mult(mult(A,mult(B,A)),C) <-> mult(mult(mult(A,B),C),mult(A,C))
% Current number of equations to process: 3943
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [100] mult(mult(A,B),mult(B,mult(C,B))) <-> mult(mult(A,mult(B,C)),B)
% Current number of equations to process: 4176
% Current number of ordered equations: 5
% Current number of rules: 44
% New rule produced :
% [101] mult(mult(A,B),mult(B,mult(A,B))) <-> mult(mult(mult(A,B),A),B)
% Current number of equations to process: 4176
% Current number of ordered equations: 4
% Current number of rules: 45
% New rule produced :
% [102] mult(mult(A,mult(B,C)),B) <-> mult(mult(A,B),mult(B,mult(C,B)))
% Current number of equations to process: 4176
% Current number of ordered equations: 3
% Current number of rules: 46
% New rule produced :
% [103] mult(mult(mult(A,B),C),A) <-> mult(mult(A,mult(B,A)),mult(C,A))
% Current number of equations to process: 4176
% Current number of ordered equations: 2
% Current number of rules: 47
% New rule produced :
% [104] mult(mult(mult(A,B),A),B) <-> mult(mult(A,B),mult(B,mult(A,B)))
% Current number of equations to process: 4176
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [105] mult(mult(A,mult(B,A)),mult(C,A)) <-> mult(mult(mult(A,B),C),A)
% Current number of equations to process: 4176
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [106]
% mult(A,mult(mult(B,C),mult(B,V_3))) <-> mult(mult(A,B),mult(A,mult(C,V_3)))
% Current number of equations to process: 4701
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [107]
% mult(mult(A,B),mult(A,mult(C,V_3))) <-> mult(A,mult(mult(B,C),mult(B,V_3)))
% Current number of equations to process: 4701
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [108]
% mult(mult(mult(A,C),V_3),mult(B,V_3)) <-> mult(mult(mult(A,B),mult(C,B)),V_3)
% Current number of equations to process: 3357
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [109]
% mult(mult(mult(A,B),mult(C,B)),V_3) <-> mult(mult(mult(A,C),V_3),mult(B,V_3))
% Current number of equations to process: 3357
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [110]
% mult(A,mult(mult(B,C),mult(V_3,C))) <-> mult(mult(A,mult(B,V_3)),mult(A,C))
% Current number of equations to process: 3737
% Current number of ordered equations: 3
% Current number of rules: 54
% New rule produced :
% [111]
% mult(mult(mult(A,B),mult(A,C)),V_3) <-> mult(mult(A,V_3),mult(mult(B,C),V_3))
% Current number of equations to process: 3737
% Current number of ordered equations: 2
% Current number of rules: 55
% New rule produced :
% [112]
% mult(mult(A,mult(B,V_3)),mult(A,C)) <-> mult(A,mult(mult(B,C),mult(V_3,C)))
% Current number of equations to process: 3737
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [113]
% mult(mult(A,V_3),mult(mult(B,C),V_3)) <-> mult(mult(mult(A,B),mult(A,C)),V_3)
% Current number of equations to process: 3737
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [114] mult(mult(A,B),mult(mult(B,A),B)) <-> mult(mult(mult(A,B),B),mult(A,B))
% Current number of equations to process: 4515
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [115] mult(mult(mult(A,B),B),mult(A,B)) <-> mult(mult(A,B),mult(mult(B,A),B))
% Current number of equations to process: 4515
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [116] mult(mult(A,B),mult(A,mult(A,B))) <-> mult(mult(A,mult(B,A)),mult(A,B))
% Current number of equations to process: 4824
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [117] mult(mult(A,mult(B,A)),mult(A,B)) <-> mult(mult(A,B),mult(A,mult(A,B)))
% Current number of equations to process: 4824
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [118] mult(mult(mult(A,B),A),mult(A,mult(B,A))) -> mult(mult(A,B),A)
% Current number of equations to process: 2623
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [119] mult(mult(A,mult(B,A)),mult(mult(A,B),A)) -> mult(A,mult(B,A))
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [120] mult(A,mult(mult(A,mult(B,A)),A)) <-> mult(mult(A,mult(mult(A,B),A)),A)
% Current number of equations to process: 2957
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [121] mult(mult(A,mult(mult(A,B),A)),A) <-> mult(A,mult(mult(A,mult(B,A)),A))
% Current number of equations to process: 2957
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [122] mult(A,mult(mult(A,mult(B,A)),A)) <-> mult(mult(mult(A,mult(A,B)),A),A)
% Current number of equations to process: 3267
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [123] mult(mult(mult(A,mult(A,B)),A),A) <-> mult(A,mult(mult(A,mult(B,A)),A))
% Current number of equations to process: 3267
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [124] mult(A,mult(mult(mult(B,A),A),A)) <-> mult(mult(mult(mult(A,B),A),A),A)
% Current number of equations to process: 3581
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [125] mult(mult(mult(mult(A,B),A),A),A) <-> mult(A,mult(mult(mult(B,A),A),A))
% Current number of equations to process: 3581
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [126] mult(A,mult(A,mult(mult(B,A),A))) <-> mult(mult(mult(A,mult(A,B)),A),A)
% Current number of equations to process: 3898
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [127] mult(mult(mult(A,mult(A,B)),A),A) <-> mult(A,mult(A,mult(mult(B,A),A)))
% Current number of equations to process: 3898
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [128] mult(A,mult(A,mult(A,mult(B,A)))) <-> mult(mult(A,mult(A,mult(A,B))),A)
% Current number of equations to process: 4220
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [129] mult(mult(A,mult(A,mult(A,B))),A) <-> mult(A,mult(A,mult(A,mult(B,A))))
% Current number of equations to process: 4220
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [130] mult(A,mult(mult(mult(A,B),A),A)) <-> mult(mult(A,mult(A,mult(B,A))),A)
% Current number of equations to process: 4559
% Current number of ordered equations: 3
% Current number of rules: 74
% New rule produced :
% [131] mult(mult(A,mult(A,mult(B,A))),A) <-> mult(A,mult(mult(mult(A,B),A),A))
% Current number of equations to process: 4559
% Current number of ordered equations: 2
% Current number of rules: 75
% New rule produced :
% [132] mult(A,mult(A,mult(mult(B,A),A))) <-> mult(mult(A,mult(mult(A,B),A)),A)
% Current number of equations to process: 4917
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [133] mult(mult(A,mult(mult(A,B),A)),A) <-> mult(A,mult(A,mult(mult(B,A),A)))
% Current number of equations to process: 4917
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [134] mult(mult(mult(A,B),C),mult(mult(A,B),C)) -> mult(mult(A,B),C)
% Current number of equations to process: 1746
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [135] mult(mult(A,mult(B,C)),mult(A,mult(B,C))) -> mult(A,mult(B,C))
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [136] mult(mult(A,B),mult(A,mult(C,B))) <-> mult(mult(A,mult(B,C)),mult(A,B))
% Rule
% [116] mult(mult(A,B),mult(A,mult(A,B))) <-> mult(mult(A,mult(B,A)),mult(A,B))
% collapsed.
% Current number of equations to process: 2225
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [137] mult(mult(A,mult(B,C)),mult(A,B)) <-> mult(mult(A,B),mult(A,mult(C,B)))
% Rule
% [117] mult(mult(A,mult(B,A)),mult(A,B)) <-> mult(mult(A,B),mult(A,mult(A,B)))
% collapsed.
% Current number of equations to process: 2225
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [138] mult(mult(A,C),mult(mult(B,A),C)) <-> mult(mult(mult(A,B),C),mult(A,C))
% Rule
% [114] mult(mult(A,B),mult(mult(B,A),B)) <-> mult(mult(mult(A,B),B),mult(A,B))
% collapsed.
% Current number of equations to process: 2777
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [139] mult(mult(mult(A,B),C),mult(A,C)) <-> mult(mult(A,C),mult(mult(B,A),C))
% Rule
% [115] mult(mult(mult(A,B),B),mult(A,B)) <-> mult(mult(A,B),mult(mult(B,A),B))
% collapsed.
% Current number of equations to process: 2777
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [140] mult(A,mult(mult(B,C),mult(A,C))) <-> mult(mult(mult(A,B),A),mult(A,C))
% Current number of equations to process: 3338
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [141] mult(mult(mult(A,B),A),mult(A,C)) <-> mult(A,mult(mult(B,C),mult(A,C)))
% Current number of equations to process: 3338
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [142] mult(A,mult(mult(B,C),mult(B,A))) <-> mult(mult(A,B),mult(mult(A,C),A))
% Current number of equations to process: 3831
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [143] mult(mult(A,B),mult(mult(A,C),A)) <-> mult(A,mult(mult(B,C),mult(B,A)))
% Current number of equations to process: 3831
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [144] mult(mult(A,B),mult(B,mult(C,B))) <-> mult(mult(mult(A,B),mult(A,C)),B)
% Current number of equations to process: 4305
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [145] mult(mult(mult(A,B),mult(A,C)),B) <-> mult(mult(A,B),mult(B,mult(C,B)))
% Current number of equations to process: 4305
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [146] mult(mult(mult(A,B),mult(C,B)),A) <-> mult(mult(A,mult(C,A)),mult(B,A))
% Current number of equations to process: 4832
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [147] mult(mult(A,mult(C,A)),mult(B,A)) <-> mult(mult(mult(A,B),mult(C,B)),A)
% Current number of equations to process: 4832
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [148]
% mult(A,mult(mult(B,C),V_3)) <-> mult(mult(mult(A,B),mult(A,C)),mult(A,V_3))
% Current number of equations to process: 2908
% Current number of ordered equations: 5
% Current number of rules: 88
% New rule produced :
% [149]
% mult(A,mult(B,mult(C,V_3))) <-> mult(mult(A,B),mult(mult(A,C),mult(A,V_3)))
% Current number of equations to process: 2908
% Current number of ordered equations: 4
% Current number of rules: 89
% New rule produced :
% [150]
% mult(A,mult(B,mult(C,V_3))) <-> mult(mult(A,mult(B,C)),mult(A,mult(B,V_3)))
% Current number of equations to process: 2908
% Current number of ordered equations: 3
% Current number of rules: 90
% New rule produced :
% [151]
% mult(mult(A,B),mult(mult(A,C),mult(A,V_3))) <-> mult(A,mult(B,mult(C,V_3)))
% Current number of equations to process: 2908
% Current number of ordered equations: 2
% Current number of rules: 91
% New rule produced :
% [152]
% mult(mult(mult(A,B),mult(A,C)),mult(A,V_3)) <-> mult(A,mult(mult(B,C),V_3))
% Current number of equations to process: 2908
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [153]
% mult(mult(A,mult(B,C)),mult(A,mult(B,V_3))) <-> mult(A,mult(B,mult(C,V_3)))
% Current number of equations to process: 2908
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [154]
% mult(mult(A,mult(B,C)),V_3) <-> mult(mult(mult(A,B),V_3),mult(mult(A,C),V_3))
% Current number of equations to process: 1752
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [155]
% mult(mult(mult(A,B),V_3),mult(mult(A,C),V_3)) <-> mult(mult(A,mult(B,C)),V_3)
% Current number of equations to process: 1752
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [156]
% mult(A,mult(mult(B,C),V_3)) <-> mult(mult(A,mult(B,V_3)),mult(A,mult(C,V_3)))
% Current number of equations to process: 2581
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [157]
% mult(mult(A,mult(B,V_3)),mult(A,mult(C,V_3))) <-> mult(A,mult(mult(B,C),V_3))
% Current number of equations to process: 2581
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [158]
% mult(mult(A,B),mult(mult(C,B),mult(V_3,B))) <-> mult(mult(A,mult(C,V_3)),B)
% Current number of equations to process: 3427
% Current number of ordered equations: 5
% Current number of rules: 98
% New rule produced :
% [159]
% mult(mult(mult(A,B),C),V_3) <-> mult(mult(mult(A,C),V_3),mult(mult(B,C),V_3))
% Current number of equations to process: 3427
% Current number of ordered equations: 4
% Current number of rules: 99
% New rule produced :
% [160]
% mult(mult(A,mult(C,V_3)),B) <-> mult(mult(A,B),mult(mult(C,B),mult(V_3,B)))
% Current number of equations to process: 3427
% Current number of ordered equations: 3
% Current number of rules: 100
% New rule produced :
% [161]
% mult(mult(mult(A,C),V_3),B) <-> mult(mult(mult(A,B),mult(C,B)),mult(V_3,B))
% Current number of equations to process: 3427
% Current number of ordered equations: 2
% Current number of rules: 101
% New rule produced :
% [162]
% mult(mult(mult(A,C),V_3),mult(mult(B,C),V_3)) <-> mult(mult(mult(A,B),C),V_3)
% Current number of equations to process: 3427
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [163]
% mult(mult(mult(A,B),mult(C,B)),mult(V_3,B)) <-> mult(mult(mult(A,C),V_3),B)
% Current number of equations to process: 3427
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [164] mult(mult(A,mult(B,C)),A) <-> mult(mult(A,mult(B,A)),mult(A,mult(C,A)))
% Current number of equations to process: 3600
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [165] mult(mult(A,mult(B,A)),mult(A,mult(C,A))) <-> mult(mult(A,mult(B,C)),A)
% Current number of equations to process: 3600
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [166] mult(mult(A,mult(B,C)),mult(mult(C,B),C)) -> mult(mult(A,C),mult(B,C))
% Rule [119] mult(mult(A,mult(B,A)),mult(mult(A,B),A)) -> mult(A,mult(B,A))
% collapsed.
% Current number of equations to process: 4315
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [167] mult(mult(mult(A,B),A),mult(C,mult(B,A))) -> mult(mult(A,C),mult(B,A))
% Rule [118] mult(mult(mult(A,B),A),mult(A,mult(B,A))) -> mult(mult(A,B),A)
% collapsed.
% Current number of equations to process: 4315
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [168] mult(mult(A,B),mult(mult(B,A),A)) <-> mult(mult(mult(A,B),A),mult(B,A))
% Current number of equations to process: 4489
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [169] mult(mult(mult(A,B),A),mult(B,A)) <-> mult(mult(A,B),mult(mult(B,A),A))
% Current number of equations to process: 4489
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [170] mult(mult(A,B),mult(A,mult(B,A))) <-> mult(mult(A,mult(A,B)),mult(B,A))
% Current number of equations to process: 4934
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [171] mult(mult(A,mult(A,B)),mult(B,A)) <-> mult(mult(A,B),mult(A,mult(B,A)))
% Current number of equations to process: 4934
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [172] mult(mult(A,B),mult(mult(A,B),A)) <-> mult(mult(A,mult(A,B)),mult(B,A))
% Current number of equations to process: 4933
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [173] mult(mult(A,mult(A,B)),mult(B,A)) <-> mult(mult(A,B),mult(mult(A,B),A))
% Current number of equations to process: 4933
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [174] mult(mult(A,B),mult(mult(B,A),A)) <-> mult(mult(mult(A,B),B),A)
% Current number of equations to process: 3037
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [175] mult(mult(mult(A,B),B),A) <-> mult(mult(A,B),mult(mult(B,A),A))
% Current number of equations to process: 3037
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [176] mult(mult(A,B),mult(mult(B,A),A)) <-> mult(mult(A,mult(B,A)),mult(B,A))
% Current number of equations to process: 3225
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [177] mult(mult(A,mult(B,A)),mult(B,A)) <-> mult(mult(A,B),mult(mult(B,A),A))
% Current number of equations to process: 3225
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [178] mult(A,mult(B,mult(B,A))) <-> mult(mult(A,mult(A,B)),mult(B,A))
% Current number of equations to process: 3385
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [179] mult(mult(A,mult(A,B)),mult(B,A)) <-> mult(A,mult(B,mult(B,A)))
% Current number of equations to process: 3385
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [180] mult(mult(A,mult(A,B)),mult(mult(B,A),A)) -> mult(mult(A,B),A)
% Current number of equations to process: 4413
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [181] mult(A,mult(mult(B,C),A)) <-> mult(mult(mult(A,B),A),mult(mult(A,C),A))
% Current number of equations to process: 4102
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [182] mult(mult(mult(A,B),A),mult(mult(A,C),A)) <-> mult(A,mult(mult(B,C),A))
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [183] mult(mult(mult(A,B),C),mult(A,mult(B,A))) -> mult(mult(A,B),mult(C,A))
% Current number of equations to process: 4936
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [184] mult(mult(A,mult(B,A)),mult(mult(A,B),C)) -> mult(mult(A,B),mult(A,C))
% Current number of equations to process: 4936
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [185] mult(A,mult(mult(B,C),B)) <-> mult(mult(A,B),mult(mult(A,C),mult(A,B)))
% Current number of equations to process: 2893
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [186] mult(mult(A,B),mult(mult(A,C),mult(A,B))) <-> mult(A,mult(mult(B,C),B))
% Current number of equations to process: 2893
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [187] mult(mult(A,B),mult(mult(C,B),mult(A,B))) <-> mult(mult(mult(A,C),A),B)
% Current number of equations to process: 3798
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [188] mult(mult(mult(A,C),A),B) <-> mult(mult(A,B),mult(mult(C,B),mult(A,B)))
% Current number of equations to process: 3798
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [189] mult(A,mult(B,mult(A,C))) <-> mult(mult(mult(A,B),A),mult(A,mult(B,C)))
% Current number of equations to process: 4690
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [190] mult(mult(mult(A,B),A),mult(A,mult(B,C))) <-> mult(A,mult(B,mult(A,C)))
% Current number of equations to process: 4690
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [191] mult(A,mult(mult(B,C),A)) <-> mult(mult(mult(A,B),A),mult(A,mult(C,A)))
% Current number of equations to process: 3165
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [192] mult(mult(mult(A,B),A),mult(A,mult(C,A))) <-> mult(A,mult(mult(B,C),A))
% Current number of equations to process: 3165
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [193] mult(A,mult(B,mult(C,A))) <-> mult(mult(A,mult(B,C)),mult(mult(A,B),A))
% Current number of equations to process: 4115
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [194] mult(mult(A,mult(B,C)),mult(mult(A,B),A)) <-> mult(A,mult(B,mult(C,A)))
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [195] mult(A,mult(mult(B,C),A)) <-> mult(mult(A,mult(B,A)),mult(mult(A,C),A))
% Current number of equations to process: 2441
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [196] mult(mult(A,mult(B,A)),mult(mult(A,C),A)) <-> mult(A,mult(mult(B,C),A))
% Current number of equations to process: 2441
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [197] mult(A,mult(B,mult(C,B))) <-> mult(mult(mult(A,B),mult(A,C)),mult(A,B))
% Current number of equations to process: 3400
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [198] mult(mult(mult(A,B),mult(A,C)),mult(A,B)) <-> mult(A,mult(B,mult(C,B)))
% Current number of equations to process: 3400
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [199] mult(mult(mult(A,B),mult(C,B)),mult(A,B)) <-> mult(mult(A,mult(C,A)),B)
% Current number of equations to process: 4352
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [200] mult(mult(A,mult(C,A)),B) <-> mult(mult(mult(A,B),mult(C,B)),mult(A,B))
% Current number of equations to process: 4352
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [201] mult(mult(A,mult(B,C)),A) <-> mult(mult(mult(A,B),A),mult(A,mult(C,A)))
% Current number of equations to process: 1229
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [202] mult(mult(mult(A,B),A),mult(A,mult(C,A))) <-> mult(mult(A,mult(B,C)),A)
% Current number of equations to process: 1229
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [203] mult(mult(mult(A,B),C),B) <-> mult(mult(mult(A,C),B),mult(B,mult(C,B)))
% Current number of equations to process: 2327
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [204] mult(mult(mult(A,C),B),mult(B,mult(C,B))) <-> mult(mult(mult(A,B),C),B)
% Current number of equations to process: 2327
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [205] mult(mult(A,mult(B,C)),A) <-> mult(mult(A,mult(B,A)),mult(mult(A,C),A))
% Current number of equations to process: 3432
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [206] mult(mult(A,mult(B,A)),mult(mult(A,C),A)) <-> mult(mult(A,mult(B,C)),A)
% Current number of equations to process: 3432
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [207] mult(mult(mult(A,B),C),A) <-> mult(mult(A,mult(C,A)),mult(mult(B,C),A))
% Current number of equations to process: 4536
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [208] mult(mult(A,mult(C,A)),mult(mult(B,C),A)) <-> mult(mult(mult(A,B),C),A)
% Current number of equations to process: 4536
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [209]
% mult(mult(A,B),mult(mult(A,C),V_3)) <->
% mult(mult(A,mult(B,C)),mult(mult(A,B),V_3))
% Current number of equations to process: 3022
% Current number of ordered equations: 3
% Current number of rules: 147
% New rule produced :
% [210]
% mult(mult(A,B),mult(C,mult(A,V_3))) <->
% mult(mult(mult(A,B),C),mult(A,mult(B,V_3)))
% Current number of equations to process: 3022
% Current number of ordered equations: 2
% Current number of rules: 148
% New rule produced :
% [211]
% mult(mult(A,mult(B,C)),mult(mult(A,B),V_3)) <->
% mult(mult(A,B),mult(mult(A,C),V_3))
% Current number of equations to process: 3022
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [212]
% mult(mult(mult(A,B),C),mult(A,mult(B,V_3))) <->
% mult(mult(A,B),mult(C,mult(A,V_3)))
% Current number of equations to process: 3022
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [213] mult(mult(A,mult(C,B)),mult(mult(A,C),C)) <-> mult(mult(A,mult(A,B)),C)
% Current number of equations to process: 3384
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [214] mult(mult(A,mult(A,B)),C) <-> mult(mult(A,mult(C,B)),mult(mult(A,C),C))
% Current number of equations to process: 3384
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [215]
% mult(mult(A,mult(B,C)),mult(mult(V_3,B),C)) <->
% mult(mult(A,mult(V_3,C)),mult(B,C))
% Current number of equations to process: 4355
% Current number of ordered equations: 3
% Current number of rules: 153
% New rule produced :
% [216]
% mult(mult(mult(A,B),C),mult(V_3,mult(B,C))) <->
% mult(mult(mult(A,C),V_3),mult(B,C))
% Current number of equations to process: 4355
% Current number of ordered equations: 2
% Current number of rules: 154
% New rule produced :
% [217]
% mult(mult(mult(A,C),V_3),mult(B,C)) <->
% mult(mult(mult(A,B),C),mult(V_3,mult(B,C)))
% Current number of equations to process: 4355
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [218]
% mult(mult(A,mult(V_3,C)),mult(B,C)) <->
% mult(mult(A,mult(B,C)),mult(mult(V_3,B),C))
% Current number of equations to process: 4355
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [219] mult(mult(A,B),mult(mult(A,C),C)) <-> mult(mult(A,mult(A,C)),mult(B,C))
% Current number of equations to process: 2730
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [220] mult(mult(A,mult(A,C)),mult(B,C)) <-> mult(mult(A,B),mult(Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------