TSTP Solution File: LAT061-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LAT061-1 : TPTP v6.0.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n039.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 00:26:12 EDT 2014

% Result   : Timeout 300.11s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LAT061-1 : TPTP v6.0.0. Released v2.5.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n039.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 18:28:58 CDT 2014
% % CPUTime  : 300.11 
% Processing problem /tmp/CiME_21035_n039.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " join,meet : infix commutative;meet_join__1, meet_join__2 : 0;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% X meet X = X;
% X join X = X;
% ((X join Y) meet (Z join Y)) meet Y = Y;
% ((X meet Y) join (Z meet Y)) join Y = Y;
% ";
% 
% let s1 = status F "
% join mul;
% meet mul;
% ";
% 
% let p1 = precedence F "
% meet > join > meet_join__1 > meet_join__2";
% 
% let s2 = status F "
% join mul;
% meet mul;
% ";
% 
% let p2 = precedence F "
% meet > join > meet_join__1 > meet_join__2";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X "meet_join__1 = meet_join__2"
% ;
% (*
% 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 = { X meet X = X,
% X join X = X,
% ((X join Y) meet (Y join Z)) meet Y = Y,
% ((X meet Y) join (Y meet Z)) join Y = Y }
% (4 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 = { meet_join__1 = meet_join__2 }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] X join X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 1
% New rule produced : [2] X meet X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 2
% New rule produced : [3] ((X meet Y) join (Y meet Z)) join Y -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced : [4] ((X join Y) meet (Y join Z)) meet Y -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] (X meet Y) join Y -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [6] (X join Y) meet Y -> Y
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] (X join Y) join X -> X join Y
% Current number of equations to process: 9
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced : [8] (X meet Y) meet Y -> X meet Y
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9] ((X join Y) meet (Y join Z)) join Y -> (X join Y) meet (Y join Z)
% Current number of equations to process: 6
% Current number of ordered equations: 2
% Current number of rules: 9
% New rule produced :
% [10] (((X meet Y) join Z) meet X) meet (X meet Y) -> X meet Y
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11] ((X meet Y) join (Y meet Z)) meet Y -> (X meet Y) join (Y meet Z)
% Current number of equations to process: 13
% Current number of ordered equations: 2
% Current number of rules: 11
% New rule produced :
% [12] (((X join Y) meet Z) join X) join (X join Y) -> X join Y
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13] ((X join Y) meet ((Y join Z) meet (Y join V_3))) meet Y -> Y
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14] (((X meet Y) join (Y meet Z)) join (Y meet V_3)) join Y -> Y
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% (((X meet Y) join Z) meet Y) join (X meet Y) -> ((X meet Y) join Z) meet Y
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% (((X join Y) meet Z) join Y) meet (X join Y) -> ((X join Y) meet Z) join Y
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17] ((((X meet Y) join Z) meet Y) meet X) meet (X meet Y) -> X meet Y
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18] ((((X join Y) meet Z) join Y) join X) join (X join Y) -> X join Y
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19]
% (((((X meet Y) join Z) meet Y) meet X) meet Y) meet (X meet Y) -> X meet Y
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% (((((X join Y) meet Z) join Y) join X) join Y) join (X join Y) -> X join Y
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21]
% (((X join Y) meet (Y join Z)) meet ((Y join V_3) meet (Y join V_4))) meet Y
% -> Y
% Current number of equations to process: 127
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [22]
% ((X join Y) meet ((Y join Z) meet ((Y join V_3) meet (Y join V_4)))) meet Y
% -> Y
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [23]
% (((X meet Y) join (Y meet Z)) join ((Y meet V_3) join (Y meet V_4))) join Y
% -> Y
% Current number of equations to process: 186
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [24]
% ((((X meet Y) join (Y meet Z)) join (Y meet V_3)) join (Y meet V_4)) join Y
% -> Y
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25]
% ((((X meet Y) join Z) meet X) meet Y) join (X meet Y) ->
% (((X meet Y) join Z) meet X) meet Y
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26]
% ((((X join Y) meet Z) join X) join Y) meet (X join Y) ->
% (((X join Y) meet Z) join X) join Y
% Current number of equations to process: 289
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27]
% ((X join Y) meet ((X join Z) meet (X join V_3))) join X ->
% (X join Y) meet ((X join Z) meet (X join V_3))
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [28]
% (((X meet Y) join Z) meet (((X meet Y) join V_3) meet X)) meet (X meet Y) ->
% X meet Y
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [29]
% ((((X meet Y) join Z) meet ((X meet Y) join V_3)) meet X) meet (X meet Y) ->
% X meet Y
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [30]
% (((X meet Y) join (Y meet Z)) join (Y meet V_3)) meet Y ->
% ((X meet Y) join (Y meet Z)) join (Y meet V_3)
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [31]
% ((((X join Y) meet Z) join X) join ((X join Y) meet V_3)) join (X join Y) ->
% X join Y
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [32]
% ((((X join Y) meet Z) join ((X join Y) meet V_3)) join X) join (X join Y) ->
% X join Y
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [33]
% ((((((X meet Y) join Z) meet Y) meet X) meet Y) meet X) meet (X meet Y) ->
% X meet Y
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [34]
% ((((((X join Y) meet Z) join Y) join X) join Y) join X) join (X join Y) ->
% X join Y
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [35]
% (((X meet Y) join Z) meet ((((X meet Y) join V_3) meet Y) meet X)) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [36]
% (((((X meet Y) join Z) meet ((X meet Y) join V_3)) meet Y) meet X) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [37]
% (((((X join Y) meet Z) join Y) join X) join ((X join Y) meet V_3)) join 
% (X join Y) -> X join Y
% Current number of equations to process: 644
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [38]
% (((((X join Y) meet Z) join ((X join Y) meet V_3)) join Y) join X) join 
% (X join Y) -> X join Y
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [39]
% (((((X meet Y) join Z) meet Y) meet X) meet Y) join (X meet Y) ->
% ((((X meet Y) join Z) meet Y) meet X) meet Y
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [40]
% (((((X join Y) meet Z) join Y) join X) join Y) meet (X join Y) ->
% ((((X join Y) meet Z) join Y) join X) join Y
% Current number of equations to process: 767
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [41]
% (((((((X meet Y) join Z) meet Y) meet X) meet Y) meet X) meet Y) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [42]
% (((((((X join Y) meet Z) join Y) join X) join Y) join X) join Y) join 
% (X join Y) -> X join Y
% Current number of equations to process: 846
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [43]
% ((((X meet Y) join Z) meet Y) meet (((X meet Y) join V_3) meet X)) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 881
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [44]
% ((((X meet Y) join Z) meet Y) meet (((X meet Y) join V_3) meet Y)) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [45]
% ((((X meet Y) join Z) meet (((X meet Y) join V_3) meet Y)) meet X) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 970
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [46]
% ((((X meet Y) join Z) meet (((X meet Y) join V_3) meet Y)) meet Y) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [47]
% ((((X join Y) meet Z) join Y) join (((X join Y) meet V_3) join X)) join 
% (X join Y) -> X join Y
% Current number of equations to process: 1085
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [48]
% ((((X join Y) meet Z) join Y) join (((X join Y) meet V_3) join Y)) join 
% (X join Y) -> X join Y
% Current number of equations to process: 1085
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [49]
% (((((X join Y) meet Z) join Y) join ((X join Y) meet V_3)) join X) join 
% (X join Y) -> X join Y
% Current number of equations to process: 1170
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [50]
% (((((X join Y) meet Z) join Y) join ((X join Y) meet V_3)) join Y) join 
% (X join Y) -> X join Y
% Current number of equations to process: 1170
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [51]
% (((X join Y) meet ((X join Z) meet (X join V_3))) meet ((X join V_4) meet 
% (X join V_5))) meet X
% -> X
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [52]
% ((X join Y) meet (((X join Z) meet (X join V_3)) meet ((X join V_4) meet 
% (X join V_5)))) meet X
% -> X
% Current number of equations to process: 1369
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [53]
% ((X join Y) meet ((Y join Z) meet ((Y join V_3) meet ((Y join V_4) meet 
% (Y join V_5))))) meet Y
% -> Y
% Current number of equations to process: 1458
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [54]
% ((((X meet Y) join (Y meet Z)) join ((Y meet V_3) join (Y meet V_4))) join 
% (Y meet V_5)) join Y -> Y
% Current number of equations to process: 1577
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [55]
% ((((X meet Y) join (Y meet Z)) join (Y meet V_3)) join ((Y meet V_4) join 
% (Y meet V_5))) join Y
% -> Y
% Current number of equations to process: 1688
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [56]
% (((((X meet Y) join (Y meet Z)) join (Y meet V_3)) join (Y meet V_4)) join 
% (Y meet V_5)) join Y -> Y
% Current number of equations to process: 1805
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [57]
% ((X meet Y) join (Y meet Z)) meet ((((X meet Y) join (Y meet Z)) join V_3) meet Y)
% -> (X meet Y) join (Y meet Z)
% Current number of equations to process: 1925
% Current number of ordered equations: 2
% Current number of rules: 57
% New rule produced :
% [58]
% ((((X join Y) meet (X join Z)) meet V_3) join X) join ((X join Y) meet 
% (X join Z)) ->
% (X join Y) meet (X join Z)
% Current number of equations to process: 1925
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [59]
% ((((((X meet Y) join Z) meet ((X meet Y) join V_3)) meet Y) meet X) meet Y) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 2046
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [60]
% (((X meet Y) join Z) meet (((((X meet Y) join V_3) meet Y) meet X) meet Y)) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 2114
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [61]
% ((((((X join Y) meet Z) join ((X join Y) meet V_3)) join Y) join X) join Y) join 
% (X join Y) -> X join Y
% Current number of equations to process: 2182
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [62]
% ((((((X join Y) meet Z) join Y) join X) join Y) join ((X join Y) meet V_3)) join 
% (X join Y) -> X join Y
% Current number of equations to process: 2249
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [63]
% ((((X meet Y) join Z) meet X) meet ((((X meet Y) join V_3) meet X) meet Y)) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 2310
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [64]
% ((((X meet Y) join Z) meet Y) meet ((((X meet Y) join V_3) meet X) meet Y)) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 2310
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [65]
% ((((X meet Y) join Z) meet ((((X meet Y) join V_3) meet X) meet Y)) meet X) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 2450
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [66]
% ((((X meet Y) join Z) meet ((((X meet Y) join V_3) meet X) meet Y)) meet Y) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 2450
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [67]
% (((((X join Y) meet Z) join X) join Y) join (((X join Y) meet V_3) join X)) join 
% (X join Y) -> X join Y
% Current number of equations to process: 2602
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [68]
% (((((X join Y) meet Z) join X) join Y) join (((X join Y) meet V_3) join Y)) join 
% (X join Y) -> X join Y
% Current number of equations to process: 2602
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [69]
% ((((((X join Y) meet Z) join X) join Y) join ((X join Y) meet V_3)) join X) join 
% (X join Y) -> X join Y
% Current number of equations to process: 2738
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [70]
% ((((((X join Y) meet Z) join X) join Y) join ((X join Y) meet V_3)) join Y) join 
% (X join Y) -> X join Y
% Current number of equations to process: 2738
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [71]
% ((((((((X meet Y) join Z) meet X) meet Y) meet X) meet Y) meet X) meet Y) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 2888
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [72]
% ((((((((X join Y) meet Z) join X) join Y) join X) join Y) join X) join Y) join 
% (X join Y) -> X join Y
% Current number of equations to process: 2955
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [73]
% (((((X meet Y) join Z) meet (((X meet Y) join V_3) meet Y)) meet Y) meet X) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 3018
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [74]
% (((((X meet Y) join Z) meet (((X meet Y) join V_3) meet Y)) meet X) meet Y) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 3018
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [75]
% ((((((X join Y) meet Z) join Y) join ((X join Y) meet V_3)) join Y) join X) join 
% (X join Y) -> X join Y
% Current number of equations to process: 3184
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [76]
% ((((((X join Y) meet Z) join Y) join ((X join Y) meet V_3)) join X) join Y) join 
% (X join Y) -> X join Y
% Current number of equations to process: 3184
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [77]
% (((((X meet Y) join Z) meet Y) meet (((X meet Y) join V_3) meet Y)) meet X) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 3342
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [78]
% (((((X meet Y) join Z) meet Y) meet (((X meet Y) join V_3) meet X)) meet Y) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 3342
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [79]
% (((((X meet Y) join Z) meet Y) meet (((X meet Y) join V_3) meet Y)) meet Y) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 3531
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [80]
% (((((X join Y) meet Z) join Y) join (((X join Y) meet V_3) join Y)) join X) join 
% (X join Y) -> X join Y
% Current number of equations to process: 3609
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [81]
% (((((X join Y) meet Z) join Y) join (((X join Y) meet V_3) join X)) join Y) join 
% (X join Y) -> X join Y
% Current number of equations to process: 3609
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [82]
% (((((X join Y) meet Z) join Y) join (((X join Y) meet V_3) join Y)) join Y) join 
% (X join Y) -> X join Y
% Current number of equations to process: 3798
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [83]
% ((((X meet Y) join Z) meet ((X meet Y) join V_3)) meet Y) join (X meet Y) ->
% (((X meet Y) join Z) meet ((X meet Y) join V_3)) meet Y
% Current number of equations to process: 3881
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [84]
% (((X meet Y) join Z) meet (((X meet Y) join V_3) meet Y)) join (X meet Y) ->
% ((X meet Y) join Z) meet (((X meet Y) join V_3) meet Y)
% Current number of equations to process: 3881
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [85]
% ((((X join Y) meet Z) join Y) join ((X join Y) meet V_3)) meet (X join Y) ->
% (((X join Y) meet Z) join Y) join ((X join Y) meet V_3)
% Current number of equations to process: 4194
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [86]
% ((((X join Y) meet Z) join ((X join Y) meet V_3)) join Y) meet (X join Y) ->
% (((X join Y) meet Z) join ((X join Y) meet V_3)) join Y
% Current number of equations to process: 4194
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [87]
% ((((((X meet Y) join Z) meet X) meet Y) meet X) meet Y) join (X meet Y) ->
% (((((X meet Y) join Z) meet X) meet Y) meet X) meet Y
% Current number of equations to process: 4515
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [88]
% ((((((X join Y) meet Z) join X) join Y) join X) join Y) meet (X join Y) ->
% (((((X join Y) meet Z) join X) join Y) join X) join Y
% Current number of equations to process: 4652
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [89]
% ((X meet Y) join (Y meet Z)) join ((((X meet Y) join (Y meet Z)) join V_3) meet Y)
% -> (((X meet Y) join (Y meet Z)) join V_3) meet Y
% Current number of equations to process: 4772
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [90]
% (((((X meet Y) join Z) meet X) meet V_3) join (X meet Y)) join (((X meet Y) join Z) meet X)
% -> ((X meet Y) join Z) meet X
% Current number of equations to process: 4856
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [91]
% ((((X join Y) meet (Y join Z)) meet V_3) join Y) meet ((X join Y) meet 
% (Y join Z)) ->
% (((X join Y) meet (Y join Z)) meet V_3) join Y
% Current number of equations to process: 4953
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [92]
% (((X join Y) meet Z) join X) meet (((((X join Y) meet Z) join X) join V_3) meet 
% (X join Y)) -> ((X join Y) meet Z) join X
% Current number of equations to process: 3540
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [93]
% ((((X meet Y) join Z) meet ((X meet Y) join V_3)) meet (((X meet Y) join V_4) meet Y)) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 3636
% Current number of ordered equations: 2
% Current number of rules: 93
% New rule produced :
% [94]
% (((X meet Y) join Z) meet (((X meet Y) join V_3) meet (((X meet Y) join V_4) meet Y))) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 3636
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [95]
% ((((X meet Y) join (Y meet Z)) join (Y meet V_3)) join (Y meet V_4)) meet Y
% -> (((X meet Y) join (Y meet Z)) join (Y meet V_3)) join (Y meet V_4)
% Current number of equations to process: 3891
% Current number of ordered equations: 3
% Current number of rules: 95
% New rule produced :
% [96]
% (((((X join Y) meet Z) join Y) join ((X join Y) meet V_3)) join ((X join Y) meet V_4)) join 
% (X join Y) -> X join Y
% Current number of equations to process: 3891
% Current number of ordered equations: 2
% Current number of rules: 96
% New rule produced :
% [97]
% ((((X join Y) meet Z) join ((X join Y) meet V_3)) join (((X join Y) meet V_4) join Y)) join 
% (X join Y) -> X join Y
% Current number of equations to process: 3891
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [98]
% (((X join Y) meet (X join Z)) meet ((X join V_3) meet (X join V_4))) join X
% -> ((X join Y) meet (X join Z)) meet ((X join V_3) meet (X join V_4))
% Current number of equations to process: 4371
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [99]
% ((X join Y) meet ((X join Z) meet ((X join V_3) meet (X join V_4)))) join X
% -> (X join Y) meet ((X join Z) meet ((X join V_3) meet (X join V_4)))
% Current number of equations to process: 4568
% Current number of ordered equations: 2
% Current number of rules: 99
% New rule produced :
% [100]
% ((((X meet Y) join Z) meet (((X meet Y) join V_3) meet ((X meet Y) join V_4))) meet Y) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 4568
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [101]
% (((X meet Y) join Z) meet ((((X meet Y) join V_3) meet ((X meet Y) join V_4)) meet Y)) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [102]
% (((X meet Y) join (X meet Z)) join ((X meet V_3) join (X meet V_4))) meet X
% -> ((X meet Y) join (X meet Z)) join ((X meet V_3) join (X meet V_4))
% Current number of equations to process: 2397
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [103]
% (((((X join Y) meet Z) join ((X join Y) meet V_3)) join Y) join ((X join Y) meet V_4)) join 
% (X join Y) -> X join Y
% Current number of equations to process: 2585
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [104]
% (((((X join Y) meet Z) join ((X join Y) meet V_3)) join ((X join Y) meet V_4)) join Y) join 
% (X join Y) -> X join Y
% Current number of equations to process: 2585
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [105]
% (((((((X meet Y) join Z) meet ((X meet Y) join V_3)) meet Y) meet X) meet Y) meet X) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [106]
% (((X meet Y) join Z) meet ((((((X meet Y) join V_3) meet Y) meet X) meet Y) meet X)) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 2950
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [107]
% (((((((X join Y) meet Z) join ((X join Y) meet V_3)) join Y) join X) join Y) join X) join 
% (X join Y) -> X join Y
% Current number of equations to process: 3075
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [108]
% (((((((X join Y) meet Z) join Y) join X) join Y) join X) join ((X join Y) meet V_3)) join 
% (X join Y) -> X join Y
% Current number of equations to process: 3192
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [109]
% (((((X meet Y) join Z) meet X) meet Y) meet ((((X meet Y) join V_3) meet Y) meet X)) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 3311
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [110]
% (((((X meet Y) join Z) meet X) meet Y) meet ((((X meet Y) join V_3) meet X) meet Y)) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 3311
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [111]
% (((((X meet Y) join Z) meet ((((X meet Y) join V_3) meet X) meet Y)) meet Y) meet X) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 3528
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [112]
% (((((X meet Y) join Z) meet ((((X meet Y) join V_3) meet X) meet Y)) meet X) meet Y) meet 
% (X meet Y) -> X meet Y
% Current number of equations to process: 3528
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [113]
% (((((X join Y) meet Z) join X) join Y) join ((((X join Y) meet V_3) join Y) join X)) join 
% (X join Y) -> X join Y
% Current number of equations to process: 3781
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [114]
% (((((X join Y) meet Z) join X) join Y) join ((((X join Y) meet V_3) join X) join Y)) join 
% (X join Y) -> X join Y
% Current number of equations Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------