TSTP Solution File: LAT053-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : LAT053-1 : TPTP v6.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n034.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16127.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:26:11 EDT 2014
% Result : Timeout 300.00s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : LAT053-1 : TPTP v6.0.0. Released v2.5.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n034.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 16127.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 18:03:28 CDT 2014
% % CPUTime : 300.00
% Processing problem /tmp/CiME_33800_n034.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " join,meet : AC; b,a,n0,n1 : constant; complement : 1;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% X meet X = X;
% X join X = X;
% X meet (X join Y) = X;
% X join (X meet Y) = X;
% complement(X join Y) = complement(X) meet complement(Y);
% complement(X meet Y) = complement(X) join complement(Y);
% complement(X) join X = n1;
% complement(X) meet X = n0;
% complement(complement(X)) = X;
% (complement(X) meet (X join Y)) join (complement(Y) join (X meet Y)) = n1;
% ";
%
% let s1 = status F "
% b lr_lex;
% a lr_lex;
% n0 lr_lex;
% n1 lr_lex;
% complement lr_lex;
% join mul;
% meet mul;
% ";
%
% let p1 = precedence F "
% complement > meet > join > n1 > n0 > a > b";
%
% let s2 = status F "
% b mul;
% a mul;
% n0 mul;
% n1 mul;
% complement mul;
% join mul;
% meet mul;
% ";
%
% let p2 = precedence F "
% complement > meet > join > n1 = n0 = a = b";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " a meet (b join (a meet (complement(a) join (a meet b)))) = a meet (complement(a) join (a meet b));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { X meet X = X,
% X join X = X,
% (X join Y) meet X = X,
% (X meet Y) join X = X,
% complement(X join Y) =
% complement(X) meet complement(Y),
% complement(X meet Y) =
% complement(X) join complement(Y),
% complement(X) join X = n1,
% complement(X) meet X = n0,
% complement(complement(X)) = X,
% ((X join Y) meet complement(X)) join (X meet Y) join
% complement(Y) = n1 } (10 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 = { ((((b meet a) join complement(a)) meet a) join b) meet a
% = ((b meet a) join complement(a)) meet a }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] complement(complement(X)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 1
% New rule produced : [2] X join X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 2
% New rule produced : [3] X meet X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 3
% New rule produced : [4] complement(X) join X -> n1
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 4
% New rule produced : [5] complement(X) meet X -> n0
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 5
% New rule produced : [6] (X meet Y) join X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 6
% New rule produced : [7] (X join Y) meet X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 7
% New rule produced :
% [8] complement(X join Y) -> complement(X) meet complement(Y)
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 8
% New rule produced :
% [9] complement(X meet Y) -> complement(X) join complement(Y)
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 9
% New rule produced :
% [10] ((X join Y) meet complement(X)) join (X meet Y) join complement(Y) -> n1
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] n1 join X -> n1
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] n0 meet X -> n0
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] n0 join X -> X
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] n1 meet X -> X
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] complement(n1) -> n0
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] complement(n0) -> n1
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17] (complement(X) meet complement(Y)) join X join Y -> n1
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18] (X join Y) meet complement(X) meet complement(Y) -> n0
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19] (X meet Y) join complement(X) join complement(Y) -> n1
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20] (complement(X) join complement(Y)) meet X meet Y -> n0
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21] ((X join Y) meet Z) join (X meet Z) -> (X join Y) meet Z
% Current number of equations to process: 48
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [22] ((X meet Y) join Z) meet (X join Z) -> (X meet Y) join Z
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [23] (((X meet Y) join Z) meet V_3) join X join Z -> X join Z
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24] (((X join Z) meet Y) join V_3) meet X meet Y -> X meet Y
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25] (complement(X) meet Y) join complement(Y) join X -> n1
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26] (complement(X) join Y) meet complement(Y) meet X -> n0
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27] ((X join Y) meet complement(X)) join complement(Y) join X -> n1
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [28] ((complement(X) join Y) meet complement(Z)) join X join Z -> n1
% Current number of equations to process: 303
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [29] ((X join Y) meet Z) join complement(X) join complement(Z) -> n1
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [30] ((X meet Y) join Z) meet complement(X) meet complement(Z) -> n0
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [31] ((complement(X) meet Y) join complement(Z)) meet X meet Z -> n0
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [32] (((X meet Y) join (X meet Z)) meet V_3) join X -> X
% Current number of equations to process: 1860
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [33] ((X join Y) meet (X join Z)) join X -> (X join Y) meet (X join Z)
% Current number of equations to process: 1859
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [34] ((X meet Y) join (X meet Z)) meet X -> (X meet Y) join (X meet Z)
% Current number of equations to process: 1858
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [35] (((X join Y) meet (X join Z)) join V_3) meet X -> X
% Current number of equations to process: 3620
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [36] ((X join Y) meet complement(Z)) join complement(X) join Z -> n1
% Rule [27] ((X join Y) meet complement(X)) join complement(Y) join X -> n1
% collapsed.
% Current number of equations to process: 4086
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [37] ((complement(X) join Y) meet Z) join complement(Z) join X -> n1
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38] ((X meet Y) join complement(Z)) meet complement(X) meet Z -> n0
% Current number of equations to process: 4094
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [39] ((complement(X) meet Y) join Z) meet complement(Z) meet X -> n0
% Current number of equations to process: 4094
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [40] ((X join Y) meet (X join Z)) join complement(X) -> n1
% Current number of equations to process: 4527
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [41] ((X join Y) meet (X join Z)) join Y -> X join Y
% Current number of equations to process: 4526
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [42] ((complement(X) join Y) meet (complement(X) join Z)) join X -> n1
% Current number of equations to process: 4525
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43] ((X meet Y) join (X meet Z)) meet complement(X) -> n0
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [44] ((X meet Y) join (X meet Z)) meet Y -> X meet Y
% Current number of equations to process: 4842
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [45] ((complement(X) meet Y) join (complement(X) meet Z)) meet X -> n0
% Current number of equations to process: 4841
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46] (((X meet Z) join Y) meet (Y join V_3)) join X -> X join Y
% Current number of equations to process: 4840
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [47] (((X meet Y) join Z) meet X) join Z -> (X meet Y) join Z
% Current number of equations to process: 2622
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [48] (((X join Y) meet Z) join X) meet Z -> (X join Y) meet Z
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [49] (((X join Z) meet Y) join (Y meet V_3)) meet X -> X meet Y
% Current number of equations to process: 3579
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [50] ((X join Y) meet Z) join (X meet Z meet V_3) -> (X join Y) meet Z
% Current number of equations to process: 4618
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [51] ((X meet Y) join Z) meet (X join Z join V_3) -> (X meet Y) join Z
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [52]
% ((complement(X) join Y) meet (complemeCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------