TSTP Solution File: LAT083-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : LAT083-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n099.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 00:26:16 EDT 2014
% Result : Unsatisfiable 3.93s
% Output : Refutation 3.93s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : LAT083-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n099.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 21:06:03 CDT 2014
% % CPUTime : 3.93
% Processing problem /tmp/CiME_27263_n099.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a : constant; join : 2; meet : 2;";
% let X = vars "A B C D E F G";
% let Axioms = equations F X "
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(D,B),meet(B,E)),B)),meet(join(meet(B,meet(meet(join(D,join(B,E)),join(F,B)),B)),meet(G,join(B,meet(meet(join(D,join(B,E)),join(F,B)),B)))),join(A,join(join(meet(D,B),meet(B,E)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B;
% ";
%
% let s1 = status F "
% a lr_lex;
% join lr_lex;
% meet lr_lex;
% ";
%
% let p1 = precedence F "
% meet > join > a";
%
% let s2 = status F "
% a mul;
% join mul;
% meet mul;
% ";
%
% let p2 = precedence F "
% meet > join > a";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " join(a,a) = a;"
% ;
% (*
% 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 = { join(meet(join(meet(A,B),meet(B,join(A,B))),C),
% meet(join(meet(A,join(join(meet(D,B),meet(B,E)),B)),
% meet(join(meet(B,meet(meet(join(D,join(B,E)),
% join(F,B)),B)),
% meet(G,join(B,meet(meet(join(D,
% join(B,E)),
% join(F,B)),B)))),
% join(A,join(join(meet(D,B),meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,join(A,B))),C))) = B }
% (1 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 = { join(a,a) = a } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced :
% [1]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(B,
% meet(meet(
% join(D,
% join(B,E)),
% join(F,B)),B)),
% meet(G,join(B,
% meet(
% meet(
% join(D,
% join(B,E)),
% join(F,B)),B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% join(meet(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),
% meet(C,
% join(B,C))),
% join(A,join(
% meet(B,C),
% meet(C,
% join(B,C)))))),D),
% meet(join(meet(A,join(join(meet(E,join(meet(B,C),meet(C,join(B,C)))),
% meet(join(meet(B,C),meet(C,join(B,C))),F)),join(
% meet(B,C),
% meet(C,
% join(B,C))))),
% meet(C,join(A,join(join(meet(E,join(meet(B,C),meet(C,join(B,C)))),
% meet(join(meet(B,C),meet(C,join(B,C))),F)),join(
% meet(B,C),
% meet(C,
% join(B,C))))))),
% join(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),
% meet(C,join(B,C))),
% join(A,join(meet(B,C),
% meet(C,join(B,C)))))),D)))
% -> join(meet(B,C),meet(C,join(B,C)))
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(F,
% join(join(
% meet(G,B),
% meet(B,V_7)),B)),
% meet(join(meet(B,
% meet(
% meet(
% join(G,
% join(B,V_7)),
% join(V_8,B)),B)),
% meet(V_9,
% join(B,
% meet(meet(
% join(G,
% join(B,V_7)),
% join(V_8,B)),B)))),
% join(F,join(
% join(
% meet(G,B),
% meet(B,V_7)),B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% join(meet(join(meet(join(meet(A,B),meet(B,join(A,B))),B),meet(B,join(
% join(
% meet(A,B),
% meet(B,
% join(A,B))),B))),C),
% meet(B,join(join(meet(join(meet(A,B),meet(B,join(A,B))),B),meet(B,join(
% join(
% meet(A,B),
% meet(B,
% join(A,B))),B))),C)))
% -> B
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] join(meet(A,B),meet(A,join(A,B))) -> A
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(B,join(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7] join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)) -> meet(A,B)
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% join(meet(A,B),meet(join(meet(A,join(join(meet(C,A),meet(A,D)),A)),meet(
% join(
% meet(A,
% meet(
% meet(
% join(C,
% join(A,D)),
% join(E,A)),A)),
% meet(F,
% join(A,
% meet(
% meet(
% join(C,
% join(A,D)),
% join(E,A)),A)))),
% join(A,
% join(
% join(
% meet(C,A),
% meet(A,D)),A)))),
% join(A,B))) -> A
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),
% meet(join(meet(B,
% meet(meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)),
% meet(E,join(B,
% meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)))),
% join(A,join(B,B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(B,
% meet(meet(
% join(F,
% join(B,G)),
% join(V_7,B)),B)),
% meet(V_8,join(B,
% meet(
% meet(
% join(F,
% join(B,G)),
% join(V_7,B)),B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Rule
% [1]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(B,
% meet(meet(
% join(D,
% join(B,E)),
% join(F,B)),B)),
% meet(G,join(B,
% meet(
% meet(
% join(D,
% join(B,E)),
% join(F,B)),B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(F,
% join(join(
% meet(G,B),
% meet(B,V_7)),B)),
% meet(B,join(F,
% join(
% join(
% meet(G,B),
% meet(B,V_7)),B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [12]
% join(meet(join(meet(A,join(meet(B,A),meet(A,join(B,A)))),meet(join(meet(B,A),
% meet(A,
% join(B,A))),
% join(A,join(
% meet(B,A),
% meet(A,
% join(B,A)))))),C),
% meet(A,join(join(meet(A,join(meet(B,A),meet(A,join(B,A)))),meet(join(
% meet(B,A),
% meet(A,
% join(B,A))),
% join(A,join(
% meet(B,A),
% meet(A,
% join(B,A)))))),C)))
% -> join(meet(B,A),meet(A,join(B,A)))
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [13]
% join(meet(A,B),meet(join(meet(A,join(join(meet(C,A),meet(A,D)),A)),meet(
% join(
% meet(E,
% join(
% join(
% meet(F,A),
% meet(A,G)),A)),
% meet(
% join(
% meet(A,
% meet(
% meet(
% join(F,
% join(A,G)),
% join(V_7,A)),A)),
% meet(V_8,
% join(A,
% meet(
% meet(
% join(F,
% join(A,G)),
% join(V_7,A)),A)))),
% join(E,
% join(
% join(
% meet(F,A),
% meet(A,G)),A)))),
% join(A,
% join(
% join(
% meet(C,A),
% meet(A,D)),A)))),
% join(A,B))) -> A
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [14]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),
% meet(join(meet(D,
% join(join(
% meet(E,B),
% meet(B,F)),B)),
% meet(join(meet(B,
% meet(
% meet(
% join(E,
% join(B,F)),
% join(G,B)),B)),
% meet(V_7,
% join(B,
% meet(meet(
% join(E,
% join(B,F)),
% join(G,B)),B)))),
% join(D,join(
% join(
% meet(E,B),
% meet(B,F)),B)))),
% join(A,join(B,B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [15]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(F,
% join(B,B)),
% meet(join(meet(B,
% meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(G,B)),B)),
% meet(V_7,
% join(B,
% meet(meet(
% join(B,
% join(B,
% join(B,B))),
% join(G,B)),B)))),
% join(F,join(B,B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [16]
% join(meet(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,
% join(join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(B,
% meet(
% meet(
% join(D,
% join(B,E)),
% join(F,B)),B)),
% meet(G,
% join(B,
% meet(meet(
% join(D,
% join(B,E)),
% join(F,B)),B)))),
% join(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),
% meet(B,join(A,B))),C))),
% meet(meet(join(meet(A,B),meet(B,join(A,B))),C),B)) ->
% meet(join(meet(A,B),meet(B,join(A,B))),C)
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [17]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),
% meet(B,join(A,join(B,B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [18]
% join(meet(B,join(join(meet(C,A),meet(A,D)),A)),meet(A,join(B,join(join(
% meet(C,A),
% meet(A,D)),A))))
% -> A
% Rule
% [6]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(B,join(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Rule
% [11]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(F,
% join(join(
% meet(G,B),
% meet(B,V_7)),B)),
% meet(B,join(F,
% join(
% join(
% meet(G,B),
% meet(B,V_7)),B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [19]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(B,join(join(meet(A,B),
% meet(B,join(A,B))),C)))
% -> B
% Rule
% [4]
% join(meet(join(meet(join(meet(A,B),meet(B,join(A,B))),B),meet(B,join(
% join(
% meet(A,B),
% meet(B,
% join(A,B))),B))),C),
% meet(B,join(join(meet(join(meet(A,B),meet(B,join(A,B))),B),meet(B,join(
% join(
% meet(A,B),
% meet(B,
% join(A,B))),B))),C)))
% -> B collapsed.
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [20]
% join(meet(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(B,join(join(
% meet(A,B),
% meet(B,
% join(A,B))),C))),
% meet(meet(join(meet(A,B),meet(B,join(A,B))),C),B)) ->
% meet(join(meet(A,B),meet(B,join(A,B))),C)
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [21]
% join(meet(C,join(join(meet(D,join(meet(A,B),meet(B,join(A,B)))),meet(
% join(
% meet(A,B),
% meet(B,
% join(A,B))),E)),
% join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(
% meet(D,
% join(
% meet(A,B),
% meet(B,
% join(A,B)))),
% meet(
% join(
% meet(A,B),
% meet(B,
% join(A,B))),E)),
% join(meet(A,B),
% meet(B,
% join(A,B)))))))
% -> join(meet(A,B),meet(B,join(A,B)))
% Rule
% [2]
% join(meet(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),
% meet(C,
% join(B,C))),
% join(A,join(
% meet(B,C),
% meet(C,
% join(B,C)))))),D),
% meet(join(meet(A,join(join(meet(E,join(meet(B,C),meet(C,join(B,C)))),
% meet(join(meet(B,C),meet(C,join(B,C))),F)),join(
% meet(B,C),
% meet(C,
% join(B,C))))),
% meet(C,join(A,join(join(meet(E,join(meet(B,C),meet(C,join(B,C)))),
% meet(join(meet(B,C),meet(C,join(B,C))),F)),join(
% meet(B,C),
% meet(C,
% join(B,C))))))),
% join(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),
% meet(C,join(B,C))),
% join(A,join(meet(B,C),
% meet(C,join(B,C)))))),D)))
% -> join(meet(B,C),meet(C,join(B,C))) collapsed.
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [22]
% join(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)),meet(meet(
% meet(A,B),
% meet(A,
% join(A,B))),
% meet(A,B))) ->
% meet(meet(A,B),meet(A,join(A,B)))
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [23]
% join(meet(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)),meet(
% meet(
% meet(A,B),
% meet(A,
% join(A,B))),
% meet(A,B))),
% meet(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)),meet(meet(A,B),
% meet(A,
% join(A,B)))))
% -> meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A))
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [24]
% join(meet(B,join(join(meet(C,A),meet(A,D)),A)),meet(join(meet(E,join(
% join(
% meet(F,A),
% meet(A,G)),A)),
% meet(join(meet(A,
% meet(meet(
% join(F,
% join(A,G)),
% join(V_7,A)),A)),
% meet(V_8,join(A,
% meet(
% meet(
% join(F,
% join(A,G)),
% join(V_7,A)),A)))),
% join(E,join(join(
% meet(F,A),
% meet(A,G)),A)))),
% join(B,join(join(meet(C,A),
% meet(A,D)),A))))
% -> A
% Rule
% [3]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(F,
% join(join(
% meet(G,B),
% meet(B,V_7)),B)),
% meet(join(meet(B,
% meet(
% meet(
% join(G,
% join(B,V_7)),
% join(V_8,B)),B)),
% meet(V_9,
% join(B,
% meet(meet(
% join(G,
% join(B,V_7)),
% join(V_8,B)),B)))),
% join(F,join(
% join(
% meet(G,B),
% meet(B,V_7)),B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Rule
% [13]
% join(meet(A,B),meet(join(meet(A,join(join(meet(C,A),meet(A,D)),A)),meet(
% join(
% meet(E,
% join(
% join(
% meet(F,A),
% meet(A,G)),A)),
% meet(
% join(
% meet(A,
% meet(
% meet(
% join(F,
% join(A,G)),
% join(V_7,A)),A)),
% meet(V_8,
% join(A,
% meet(
% meet(
% join(F,
% join(A,G)),
% join(V_7,A)),A)))),
% join(E,
% join(
% join(
% meet(F,A),
% meet(A,G)),A)))),
% join(A,
% join(
% join(
% meet(C,A),
% meet(A,D)),A)))),
% join(A,B))) -> A collapsed.
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [25]
% join(meet(A,B),meet(join(meet(A,join(A,A)),meet(join(meet(A,meet(meet(
% join(A,
% join(A,
% join(A,A))),
% join(C,A)),A)),
% meet(D,join(A,meet(meet(
% join(A,
% join(A,
% join(A,A))),
% join(C,A)),A)))),
% join(A,join(A,A)))),join(A,B))) ->
% A
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [26]
% join(meet(meet(A,B),meet(join(meet(A,join(join(meet(C,A),meet(A,D)),A)),
% meet(join(meet(A,meet(meet(join(C,join(A,D)),
% join(E,A)),A)),meet(F,
% join(A,
% meet(meet(
% join(C,
% join(A,D)),
% join(E,A)),A)))),
% join(A,join(join(meet(C,A),meet(A,D)),A)))),
% join(A,B))),meet(meet(A,B),A)) -> meet(A,B)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [27]
% join(meet(A,B),meet(join(meet(A,join(join(meet(C,A),meet(A,D)),A)),meet(
% join(
% meet(A,
% meet(
% meet(
% join(E,
% join(A,F)),
% join(G,A)),A)),
% meet(V_7,
% join(A,
% meet(
% meet(
% join(E,
% join(A,F)),
% join(G,A)),A)))),
% join(A,
% join(
% join(
% meet(C,A),
% meet(A,D)),A)))),
% join(A,B))) -> A
% Rule
% [8]
% join(meet(A,B),meet(join(meet(A,join(join(meet(C,A),meet(A,D)),A)),meet(
% join(
% meet(A,
% meet(
% meet(
% join(C,
% join(A,D)),
% join(E,A)),A)),
% meet(F,
% join(A,
% meet(
% meet(
% join(C,
% join(A,D)),
% join(E,A)),A)))),
% join(A,
% join(
% join(
% meet(C,A),
% meet(A,D)),A)))),
% join(A,B))) -> A collapsed.
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [28]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),
% meet(join(meet(B,
% meet(meet(
% join(D,
% join(B,E)),
% join(F,B)),B)),
% meet(G,join(B,
% meet(
% meet(
% join(D,
% join(B,E)),
% join(F,B)),B)))),
% join(A,join(B,B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Rule
% [9]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),
% meet(join(meet(B,
% meet(meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)),
% meet(E,join(B,
% meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)))),
% join(A,join(B,B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [29]
% join(meet(A,B),meet(join(meet(A,join(A,A)),meet(join(meet(C,join(join(
% meet(D,A),
% meet(A,E)),A)),
% meet(join(meet(A,meet(
% meet(
% join(D,
% join(A,E)),
% join(F,A)),A)),
% meet(G,join(A,meet(
% meet(
% join(D,
% join(A,E)),
% join(F,A)),A)))),
% join(C,join(join(meet(D,A),
% meet(A,E)),A)))),
% join(A,join(A,A)))),join(A,B))) ->
% A
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [30]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),
% meet(join(meet(D,
% join(B,B)),
% meet(join(meet(B,
% meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(E,B)),B)),
% meet(F,
% join(B,
% meet(meet(
% join(B,
% join(B,
% join(B,B))),
% join(E,B)),B)))),
% join(D,join(B,B)))),
% join(A,join(B,B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [31]
% join(meet(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,
% join(B,B)),
% meet(join(meet(B,
% meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)),
% meet(E,
% join(B,
% meet(meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)))),
% join(A,join(B,B)))),
% join(join(meet(A,B),
% meet(B,join(A,B))),C))),
% meet(meet(join(meet(A,B),meet(B,join(A,B))),C),B)) ->
% meet(join(meet(A,B),meet(B,join(A,B))),C)
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [32]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(F,
% join(B,B)),
% meet(B,join(F,
% join(B,B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [33]
% join(meet(A,B),meet(join(meet(A,join(join(meet(C,A),meet(A,D)),A)),meet(
% join(
% meet(E,
% join(A,A)),
% meet(
% join(
% meet(A,
% meet(
% meet(
% join(A,
% join(A,
% join(A,A))),
% join(F,A)),A)),
% meet(G,
% join(A,
% meet(
% meet(
% join(A,
% join(A,
% join(A,A))),
% join(F,A)),A)))),
% join(E,
% join(A,A)))),
% join(A,
% join(
% join(
% meet(C,A),
% meet(A,D)),A)))),
% join(A,B))) -> A
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [34]
% join(meet(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,
% join(B,B)),
% meet(B,join(A,
% join(B,B)))),
% join(join(meet(A,B),
% meet(B,join(A,B))),C))),
% meet(meet(join(meet(A,B),meet(B,join(A,B))),C),B)) ->
% meet(join(meet(A,B),meet(B,join(A,B))),C)
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [35]
% join(meet(B,join(join(meet(C,A),meet(A,D)),A)),meet(join(meet(A,meet(
% meet(
% join(E,
% join(A,F)),
% join(G,A)),A)),
% meet(V_7,join(A,meet(
% meet(
% join(E,
% join(A,F)),
% join(G,A)),A)))),
% join(B,join(join(meet(C,A),
% meet(A,D)),A))))
% -> A
% Rule
% [10]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(B,
% meet(meet(
% join(F,
% join(B,G)),
% join(V_7,B)),B)),
% meet(V_8,join(B,
% meet(
% meet(
% join(F,
% join(B,G)),
% join(V_7,B)),B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Rule
% [14]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),
% meet(join(meet(D,
% join(join(
% meet(E,B),
% meet(B,F)),B)),
% meet(join(meet(B,
% meet(
% meet(
% join(E,
% join(B,F)),
% join(G,B)),B)),
% meet(V_7,
% join(B,
% meet(meet(
% join(E,
% join(B,F)),
% join(G,B)),B)))),
% join(D,join(
% join(
% meet(E,B),
% meet(B,F)),B)))),
% join(A,join(B,B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Rule
% [16]
% join(meet(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,
% join(join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(B,
% meet(
% meet(
% join(D,
% join(B,E)),
% join(F,B)),B)),
% meet(G,
% join(B,
% meet(meet(
% join(D,
% join(B,E)),
% join(F,B)),B)))),
% join(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),
% meet(B,join(A,B))),C))),
% meet(meet(join(meet(A,B),meet(B,join(A,B))),C),B)) ->
% meet(join(meet(A,B),meet(B,join(A,B))),C) collapsed.
% Rule
% [24]
% join(meet(B,join(join(meet(C,A),meet(A,D)),A)),meet(join(meet(E,join(
% join(
% meet(F,A),
% meet(A,G)),A)),
% meet(join(meet(A,
% meet(meet(
% join(F,
% join(A,G)),
% join(V_7,A)),A)),
% meet(V_8,join(A,
% meet(
% meet(
% join(F,
% join(A,G)),
% join(V_7,A)),A)))),
% join(E,join(join(
% meet(F,A),
% meet(A,G)),A)))),
% join(B,join(join(meet(C,A),
% meet(A,D)),A))))
% -> A collapsed.
% Rule
% [26]
% join(meet(meet(A,B),meet(join(meet(A,join(join(meet(C,A),meet(A,D)),A)),
% meet(join(meet(A,meet(meet(join(C,join(A,D)),
% join(E,A)),A)),meet(F,
% join(A,
% meet(meet(
% join(C,
% join(A,D)),
% join(E,A)),A)))),
% join(A,join(join(meet(C,A),meet(A,D)),A)))),
% join(A,B))),meet(meet(A,B),A)) -> meet(A,B) collapsed.
% Rule
% [27]
% join(meet(A,B),meet(join(meet(A,join(join(meet(C,A),meet(A,D)),A)),meet(
% join(
% meet(A,
% meet(
% meet(
% join(E,
% join(A,F)),
% join(G,A)),A)),
% meet(V_7,
% join(A,
% meet(
% meet(
% join(E,
% join(A,F)),
% join(G,A)),A)))),
% join(A,
% join(
% join(
% meet(C,A),
% meet(A,D)),A)))),
% join(A,B))) -> A collapsed.
% Rule
% [29]
% join(meet(A,B),meet(join(meet(A,join(A,A)),meet(join(meet(C,join(join(
% meet(D,A),
% meet(A,E)),A)),
% meet(join(meet(A,meet(
% meet(
% join(D,
% join(A,E)),
% join(F,A)),A)),
% meet(G,join(A,meet(
% meet(
% join(D,
% join(A,E)),
% join(F,A)),A)))),
% join(C,join(join(meet(D,A),
% meet(A,E)),A)))),
% join(A,join(A,A)))),join(A,B))) ->
% A collapsed.
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [36] join(meet(A,B),meet(B,join(A,B))) -> B
% Rule
% [12]
% join(meet(join(meet(A,join(meet(B,A),meet(A,join(B,A)))),meet(join(meet(B,A),
% meet(A,
% join(B,A))),
% join(A,join(
% meet(B,A),
% meet(A,
% join(B,A)))))),C),
% meet(A,join(join(meet(A,join(meet(B,A),meet(A,join(B,A)))),meet(join(
% meet(B,A),
% meet(A,
% join(B,A))),
% join(A,join(
% meet(B,A),
% meet(A,
% join(B,A)))))),C)))
% -> join(meet(B,A),meet(A,join(B,A))) collapsed.
% Rule
% [15]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(F,
% join(B,B)),
% meet(join(meet(B,
% meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(G,B)),B)),
% meet(V_7,
% join(B,
% meet(meet(
% join(B,
% join(B,
% join(B,B))),
% join(G,B)),B)))),
% join(F,join(B,B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Rule
% [17]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),
% meet(B,join(A,join(B,B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Rule
% [19]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(B,join(join(meet(A,B),
% meet(B,join(A,B))),C)))
% -> B collapsed.
% Rule
% [20]
% join(meet(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(B,join(join(
% meet(A,B),
% meet(B,
% join(A,B))),C))),
% meet(meet(join(meet(A,B),meet(B,join(A,B))),C),B)) ->
% meet(join(meet(A,B),meet(B,join(A,B))),C) collapsed.
% Rule
% [21]
% join(meet(C,join(join(meet(D,join(meet(A,B),meet(B,join(A,B)))),meet(
% join(
% meet(A,B),
% meet(B,
% join(A,B))),E)),
% join(meet(A,B),meet(B,join(A,B))))),meet(B,join(C,join(join(
% meet(D,
% join(
% meet(A,B),
% meet(B,
% join(A,B)))),
% meet(
% join(
% meet(A,B),
% meet(B,
% join(A,B))),E)),
% join(meet(A,B),
% meet(B,
% join(A,B)))))))
% -> join(meet(A,B),meet(B,join(A,B))) collapsed.
% Rule
% [28]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),
% meet(join(meet(B,
% meet(meet(
% join(D,
% join(B,E)),
% join(F,B)),B)),
% meet(G,join(B,
% meet(
% meet(
% join(D,
% join(B,E)),
% join(F,B)),B)))),
% join(A,join(B,B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Rule
% [30]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),
% meet(join(meet(D,
% join(B,B)),
% meet(join(meet(B,
% meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(E,B)),B)),
% meet(F,
% join(B,
% meet(meet(
% join(B,
% join(B,
% join(B,B))),
% join(E,B)),B)))),
% join(D,join(B,B)))),
% join(A,join(B,B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Rule
% [31]
% join(meet(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,
% join(B,B)),
% meet(join(meet(B,
% meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)),
% meet(E,
% join(B,
% meet(meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)))),
% join(A,join(B,B)))),
% join(join(meet(A,B),
% meet(B,join(A,B))),C))),
% meet(meet(join(meet(A,B),meet(B,join(A,B))),C),B)) ->
% meet(join(meet(A,B),meet(B,join(A,B))),C) collapsed.
% Rule
% [32]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(F,
% join(B,B)),
% meet(B,join(F,
% join(B,B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B collapsed.
% Rule
% [34]
% join(meet(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,
% join(B,B)),
% meet(B,join(A,
% join(B,B)))),
% join(join(meet(A,B),
% meet(B,join(A,B))),C))),
% meet(meet(join(meet(A,B),meet(B,join(A,B))),C),B)) ->
% meet(join(meet(A,B),meet(B,join(A,B))),C) collapsed.
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [37] join(meet(A,join(B,B)),meet(B,join(A,join(B,B)))) -> B
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [38]
% join(meet(meet(A,join(join(meet(B,C),meet(C,D)),C)),meet(C,join(A,join(
% join(
% meet(B,C),
% meet(C,D)),C)))),
% meet(meet(A,join(join(meet(B,C),meet(C,D)),C)),C)) ->
% meet(A,join(join(meet(B,C),meet(C,D)),C))
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [39]
% join(meet(B,C),meet(join(meet(A,join(B,B)),meet(join(meet(B,meet(meet(
% join(D,
% join(B,E)),
% join(F,B)),B)),
% meet(G,join(B,meet(meet(
% join(D,
% join(B,E)),
% join(F,B)),B)))),
% join(A,join(B,B)))),join(B,C))) ->
% B
% Rule
% [25]
% join(meet(A,B),meet(join(meet(A,join(A,A)),meet(join(meet(A,meet(meet(
% join(A,
% join(A,
% join(A,A))),
% join(C,A)),A)),
% meet(D,join(A,meet(meet(
% join(A,
% join(A,
% join(A,A))),
% join(C,A)),A)))),
% join(A,join(A,A)))),join(A,B))) ->
% A collapsed.
% Rule
% [33]
% join(meet(A,B),meet(join(meet(A,join(join(meet(C,A),meet(A,D)),A)),meet(
% join(
% meet(E,
% join(A,A)),
% meet(
% join(
% meet(A,
% meet(
% meet(
% join(A,
% join(A,
% join(A,A))),
% join(F,A)),A)),
% meet(G,
% join(A,
% meet(
% meet(
% join(A,
% join(A,
% join(A,A))),
% join(F,A)),A)))),
% join(E,
% join(A,A)))),
% join(A,
% join(
% join(
% meet(C,A),
% meet(A,D)),A)))),
% join(A,B))) -> A collapsed.
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [40]
% join(meet(meet(B,C),meet(join(meet(A,join(B,B)),meet(join(meet(B,meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)),
% meet(E,join(B,meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)))),
% join(A,join(B,B)))),join(B,C))),
% meet(meet(B,C),B)) -> meet(B,C)
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [41]
% join(meet(A,meet(meet(join(B,join(A,C)),join(D,A)),A)),meet(E,join(A,
% meet(meet(
% join(B,
% join(A,C)),
% join(D,A)),A))))
% -> A
% Rule
% [35]
% join(meet(B,join(join(meet(C,A),meet(A,D)),A)),meet(join(meet(A,meet(
% meet(
% join(E,
% join(A,F)),
% join(G,A)),A)),
% meet(V_7,join(A,meet(
% meet(
% join(E,
% join(A,F)),
% join(G,A)),A)))),
% join(B,join(join(meet(C,A),
% meet(A,D)),A))))
% -> A collapsed.
% Rule
% [39]
% join(meet(B,C),meet(join(meet(A,join(B,B)),meet(join(meet(B,meet(meet(
% join(D,
% join(B,E)),
% join(F,B)),B)),
% meet(G,join(B,meet(meet(
% join(D,
% join(B,E)),
% join(F,B)),B)))),
% join(A,join(B,B)))),join(B,C))) ->
% B collapsed.
% Rule
% [40]
% join(meet(meet(B,C),meet(join(meet(A,join(B,B)),meet(join(meet(B,meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)),
% meet(E,join(B,meet(
% meet(
% join(B,
% join(B,
% join(B,B))),
% join(D,B)),B)))),
% join(A,join(B,B)))),join(B,C))),
% meet(meet(B,C),B)) -> meet(B,C) collapsed.
% Current number of equations to process: 289
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [42] join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) -> meet(A,B)
% Current number of equations to process: 292
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [43]
% join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),A)) ->
% meet(A,join(A,B))
% Current number of equations to process: 292
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [44]
% join(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)),meet(meet(
% meet(A,B),A),
% meet(A,B))) ->
% meet(meet(A,B),A)
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [45]
% join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(
% meet(A,B),
% meet(B,
% join(A,B))),
% meet(A,B))) ->
% meet(meet(A,B),meet(B,join(A,B)))
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [46]
% join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(B,join(A,B)),B)) ->
% meet(B,join(A,B))
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [47]
% join(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(A,join(B,B)),B))
% -> meet(A,join(B,B))
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [48]
% join(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(B,join(A,
% join(B,B))),B))
% -> meet(B,join(A,join(B,B)))
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [49]
% join(meet(meet(A,join(join(meet(B,C),meet(C,D)),C)),meet(C,join(A,join(
% join(
% meet(B,C),
% meet(C,D)),C)))),
% meet(meet(C,join(A,join(join(meet(B,C),meet(C,D)),C))),C)) ->
% meet(C,join(A,join(join(meet(B,C),meet(C,D)),C)))
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [50]
% join(meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(A,
% join(B,B)),B)),
% meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(A,join(B,B)))) ->
% meet(meet(A,join(B,B)),meet(B,join(A,join(B,B))))
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [51] meet(meet(join(A,join(B,C)),join(D,B)),B) -> B
% Rule
% [41]
% join(meet(A,meet(meet(join(B,join(A,C)),join(D,A)),A)),meet(E,join(A,
% meet(meet(
% join(B,
% join(A,C)),
% join(D,A)),A))))
% -> A collapsed.
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [52] join(meet(A,A),meet(E,join(A,A))) -> A
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [53]
% join(meet(meet(A,B),meet(meet(join(C,A),join(D,meet(A,B))),meet(A,B))),
% meet(E,join(meet(A,B),meet(meet(join(C,A),join(D,meet(A,B))),meet(A,B))))) ->
% meet(A,B)
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [54]
% join(meet(meet(A,B),meet(meet(join(C,B),join(D,meet(A,B))),meet(A,B))),
% meet(E,join(meet(A,B),meet(meet(join(C,B),join(D,meet(A,B))),meet(A,B))))) ->
% meet(A,B)
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [55]
% join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(
% meet(A,B),B),
% meet(A,B))) ->
% meet(meet(A,B),B)
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [56]
% join(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),A)),
% meet(meet(meet(A,B),meet(A,join(A,B))),meet(A,join(A,B)))) ->
% meet(meet(A,B),meet(A,join(A,B)))
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [57]
% join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(B,join(A,B)),B)),
% meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,join(A,B)))) ->
% meet(meet(A,B),meet(B,join(A,B)))
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [58]
% join(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),A)),
% meet(meet(meet(A,join(A,B)),A),meet(A,join(A,B)))) ->
% meet(meet(A,join(A,B)),A)
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [59]
% join(meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(A,
% join(B,B)),B)),
% meet(meet(meet(A,join(B,B)),B),meet(A,join(B,B)))) ->
% meet(meet(A,join(B,B)),B)
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [60]
% join(meet(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)),meet(
% meet(
% meet(A,B),A),
% meet(A,B))),
% meet(meet(meet(meet(A,B),A),meet(A,B)),meet(meet(A,B),A))) ->
% meet(meet(meet(A,B),A),meet(A,B))
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [61]
% join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(B,join(A,B)),B)),
% meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B)))) ->
% meet(meet(B,join(A,B)),B)
% Current number of equations to process: 374
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [62]
% join(meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(B,
% join(A,
% join(B,B))),B)),
% meet(meet(meet(B,join(A,join(B,B))),B),meet(B,join(A,join(B,B))))) ->
% meet(meet(B,join(A,join(B,B))),B)
% Current number of equations to process: 386
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [63]
% join(meet(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(
% meet(
% meet(A,B),B),
% meet(A,B))),
% meet(meet(meet(meet(A,B),B),meet(A,B)),meet(meet(A,B),B))) ->
% meet(meet(meet(A,B),B),meet(A,B))
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [64]
% join(meet(meet(A,join(A,B)),meet(meet(join(C,join(meet(A,join(A,B)),D)),A),
% meet(A,join(A,B)))),meet(E,join(meet(A,join(A,B)),
% meet(meet(join(C,
% join(
% meet(A,
% join(A,B)),D)),A),
% meet(A,join(A,B))))))
% -> meet(A,join(A,B))
% Current number of equations to process: 382
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [65] join(meet(meet(A,A),meet(E,join(A,A))),meet(meet(A,A),A)) -> meet(A,A)
% Current number of equations to process: 382
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [66]
% join(meet(meet(A,join(B,A)),meet(meet(join(C,join(meet(A,join(B,A)),D)),A),
% meet(A,join(B,A)))),meet(E,join(meet(A,join(B,A)),
% meet(meet(join(C,
% join(
% meet(A,
% join(B,A)),D)),A),
% meet(A,join(B,A))))))
% -> meet(A,join(B,A))
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [67]
% join(meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(B,
% join(A,
% join(B,B))),B)),
% meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(B,join(A,
% join(B,B)))))
% -> meet(meet(A,join(B,B)),meet(B,join(A,join(B,B))))
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [68]
% join(meet(meet(A,A),meet(E,join(A,A))),meet(meet(E,join(A,A)),A)) ->
% meet(E,join(A,A))
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [69]
% join(meet(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)),meet(
% meet(
% meet(A,B),A),
% meet(A,B))),
% meet(meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A)),meet(meet(A,B),A)))
% -> meet(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,B),A))
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [70]
% join(meet(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(
% meet(
% meet(A,B),B),
% meet(A,B))),
% meet(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(A,B),B)))
% -> meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B))
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [71] meet(meet(join(A,B),join(C,meet(B,D))),meet(B,D)) -> meet(B,D)
% Rule
% [53]
% join(meet(meet(A,B),meet(meet(join(C,A),join(D,meet(A,B))),meet(A,B))),
% meet(E,join(meet(A,B),meet(meet(join(C,A),join(D,meet(A,B))),meet(A,B))))) ->
% meet(A,B) collapsed.
% Current number of equations to process: 397
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [72]
% meet(meet(join(A,join(meet(B,join(B,C)),D)),B),meet(B,join(B,C))) ->
% meet(B,join(B,C))
% Rule
% [64]
% join(meet(meet(A,join(A,B)),meet(meet(join(C,join(meet(A,join(A,B)),D)),A),
% meet(A,join(A,B)))),meet(E,join(meet(A,join(A,B)),
% meet(meet(join(C,
% join(
% meet(A,
% join(A,B)),D)),A),
% meet(A,join(A,B))))))
% -> meet(A,join(A,B)) collapsed.
% Current number of equations to process: 401
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [73]
% meet(meet(join(A,join(meet(meet(B,C),B),D)),meet(B,C)),meet(meet(B,C),B)) ->
% meet(meet(B,C),B)
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [74]
% join(meet(A,join(join(B,meet(B,C)),B)),meet(B,join(A,join(join(B,meet(B,C)),B))))
% -> B
% Current number of equations to process: 399
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [75]
% join(A,meet(meet(join(B,join(A,C)),join(D,A)),join(meet(join(B,join(A,C)),
% join(D,A)),A))) ->
% meet(join(B,join(A,C)),join(D,A))
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [76] meet(meet(join(A,B),join(C,meet(D,B))),meet(D,B)) -> meet(D,B)
% Rule
% [54]
% join(meet(meet(A,B),meet(meet(join(C,B),join(D,meet(A,B))),meet(A,B))),
% meet(E,join(meet(A,B),meet(meet(join(C,B),join(D,meet(A,B))),meet(A,B))))) ->
% meet(A,B) collapsed.
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [77] join(A,meet(A,join(meet(join(B,join(A,C)),join(D,A)),A))) -> A
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [78]
% meet(meet(join(A,join(meet(B,join(C,B)),D)),B),meet(B,join(C,B))) ->
% meet(B,join(C,B))
% Rule
% [66]
% join(meet(meet(A,join(B,A)),meet(meet(join(C,join(meet(A,join(B,A)),D)),A),
% meet(A,join(B,A)))),meet(E,join(meet(A,join(B,A)),
% meet(meet(join(C,
% join(
% meet(A,
% join(B,A)),D)),A),
% meet(A,join(B,A))))))
% -> meet(A,join(B,A)) collapsed.
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [79]
% meet(meet(join(A,B),join(C,meet(D,join(B,B)))),meet(D,join(B,B))) ->
% meet(D,join(B,B))
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [80]
% join(meet(A,meet(A,join(meet(join(B,join(A,C)),join(D,A)),A))),meet(A,A)) ->
% A
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [81]
% meet(meet(join(A,join(meet(meet(B,C),C),D)),meet(B,C)),meet(meet(B,C),C)) ->
% meet(meet(B,C),C)
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [82]
% join(join(A,A),meet(A,join(meet(join(B,join(join(A,A),C)),join(D,join(A,A))),
% join(A,A)))) -> A
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [83]
% meet(meet(join(A,join(meet(B,join(C,join(B,B))),D)),B),meet(B,join(C,
% join(B,B)))) ->
% meet(B,join(C,join(B,B)))
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [84]
% join(meet(meet(join(A,join(B,C)),join(B,B)),meet(B,join(join(A,join(B,C)),
% join(B,B)))),B) ->
% meet(join(A,join(B,C)),join(B,B))
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [85]
% meet(meet(join(A,join(meet(meet(B,join(C,C)),C),D)),meet(B,join(C,C))),
% meet(meet(B,join(C,C)),C)) -> meet(meet(B,join(C,C)),C)
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [86]
% join(meet(join(A,A),meet(A,join(meet(join(B,join(join(A,A),C)),join(D,
% join(A,A))),
% join(A,A)))),meet(join(A,A),A)) -> join(A,A)
% Current number of equations to process: 414
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [87]
% meet(meet(join(A,B),join(C,meet(D,join(join(meet(E,B),meet(B,F)),B)))),
% meet(D,join(join(meet(E,B),meet(B,F)),B))) ->
% meet(D,join(join(meet(E,B),meet(B,F)),B))
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [88]
% join(meet(A,meet(meet(join(B,join(A,C)),join(D,A)),join(meet(join(B,join(A,C)),
% join(D,A)),A))),
% meet(A,meet(join(B,join(A,C)),join(D,A)))) -> A
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [89] join(join(meet(B,A),meet(A,C)),A) -> A
% Rule
% [18]
% join(meet(B,join(join(meet(C,A),meet(A,D)),A)),meet(A,join(B,join(join(
% meet(C,A),
% meet(A,D)),A))))
% -> A collapsed.
% Rule
% [38]
% join(meet(meet(A,join(join(meet(B,C),meet(C,D)),C)),meet(C,join(A,join(
% join(
% meet(B,C),
% meet(C,D)),C)))),
% meet(meet(A,join(join(meet(B,C),meet(C,D)),C)),C)) ->
% meet(A,join(join(meet(B,C),meet(C,D)),C)) collapsed.
% Rule
% [49]
% join(meet(meet(A,join(join(meet(B,C),meet(C,D)),C)),meet(C,join(A,join(
% join(
% meet(B,C),
% meet(C,D)),C)))),
% meet(meet(C,join(A,join(join(meet(B,C),meet(C,D)),C))),C)) ->
% meet(C,join(A,join(join(meet(B,C),meet(C,D)),C))) collapsed.
% Rule
% [87]
% meet(meet(join(A,B),join(C,meet(D,join(join(meet(E,B),meet(B,F)),B)))),
% meet(D,join(join(meet(E,B),meet(B,F)),B))) ->
% meet(D,join(join(meet(E,B),meet(B,F)),B)) collapsed.
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [90] join(A,A) -> A
% Rule [37] join(meet(A,join(B,B)),meet(B,join(A,join(B,B)))) -> B collapsed.
% Rule
% [47]
% join(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(A,join(B,B)),B))
% -> meet(A,join(B,B)) collapsed.
% Rule
% [48]
% join(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(B,join(A,
% join(B,B))),B))
% -> meet(B,join(A,join(B,B))) collapsed.
% Rule
% [50]
% join(meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(A,
% join(B,B)),B)),
% meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(A,join(B,B)))) ->
% meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))) collapsed.
% Rule [52] join(meet(A,A),meet(E,join(A,A))) -> A collapsed.
% Rule
% [59]
% join(meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(A,
% join(B,B)),B)),
% meet(meet(meet(A,join(B,B)),B),meet(A,join(B,B)))) ->
% meet(meet(A,join(B,B)),B) collapsed.
% Rule
% [62]
% join(meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(B,
% join(A,
% join(B,B))),B)),
% meet(meet(meet(B,join(A,join(B,B))),B),meet(B,join(A,join(B,B))))) ->
% meet(meet(B,join(A,join(B,B))),B) collapsed.
% Rule
% [65] join(meet(meet(A,A),meet(E,join(A,A))),meet(meet(A,A),A)) -> meet(A,A)
% collapsed.
% Rule
% [67]
% join(meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(meet(B,
% join(A,
% join(B,B))),B)),
% meet(meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))),meet(B,join(A,
% join(B,B)))))
% -> meet(meet(A,join(B,B)),meet(B,join(A,join(B,B)))) collapsed.
% Rule
% [68]
% join(meet(meet(A,A),meet(E,join(A,A))),meet(meet(E,join(A,A)),A)) ->
% meet(E,join(A,A)) collapsed.
% Rule
% [79]
% meet(meet(join(A,B),join(C,meet(D,join(B,B)))),meet(D,join(B,B))) ->
% meet(D,join(B,B)) collapsed.
% Rule
% [82]
% join(join(A,A),meet(A,join(meet(join(B,join(join(A,A),C)),join(D,join(A,A))),
% join(A,A)))) -> A collapsed.
% Rule
% [83]
% meet(meet(join(A,join(meet(B,join(C,join(B,B))),D)),B),meet(B,join(C,
% join(B,B)))) ->
% meet(B,join(C,join(B,B))) collapsed.
% Rule
% [84]
% join(meet(meet(join(A,join(B,C)),join(B,B)),meet(B,join(join(A,join(B,C)),
% join(B,B)))),B) ->
% meet(join(A,join(B,C)),join(B,B)) collapsed.
% Rule
% [85]
% meet(meet(join(A,join(meet(meet(B,join(C,C)),C),D)),meet(B,join(C,C))),
% meet(meet(B,join(C,C)),C)) -> meet(meet(B,join(C,C)),C) collapsed.
% Rule
% [86]
% join(meet(join(A,A),meet(A,join(meet(join(B,join(join(A,A),C)),join(D,
% join(A,A))),
% join(A,A)))),meet(join(A,A),A)) -> join(A,A)
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 33
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 13 rules have been used:
% [1]
% join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(B,
% meet(meet(
% join(D,
% join(B,E)),
% join(F,B)),B)),
% meet(G,join(B,
% meet(
% meet(
% join(D,
% join(B,E)),
% join(F,B)),B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),meet(B,
% join(A,B))),C)))
% -> B; trace = in the starting set
% [2] join(meet(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(
% meet(B,C),
% meet(C,
% join(B,C))),
% join(A,join(
% meet(B,C),
% meet(C,
% join(B,C)))))),D),
% meet(join(meet(A,join(join(meet(E,join(meet(B,C),meet(C,join(B,C)))),
% meet(join(meet(B,C),meet(C,join(B,C))),F)),
% join(meet(B,C),meet(C,join(B,C))))),meet(C,join(A,
% join(
% join(
% meet(E,
% join(
% meet(B,C),
% meet(C,
% join(B,C)))),
% meet(
% join(
% meet(B,C),
% meet(C,
% join(B,C))),F)),
% join(
% meet(B,C),
% meet(C,
% join(B,C))))))),
% join(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),
% meet(C,join(B,C))),
% join(A,join(meet(B,C),
% meet(C,
% join(B,C)))))),D)))
% -> join(meet(B,C),meet(C,join(B,C))); trace = Self cp of 1
% [3] join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(F,
% join(
% join(
% meet(G,B),
% meet(B,V_7)),B)),
% meet(join(
% meet(B,
% meet(
% meet(
% join(G,
% join(B,V_7)),
% join(V_8,B)),B)),
% meet(V_9,
% join(B,
% meet(
% meet(
% join(G,
% join(B,V_7)),
% join(V_8,B)),B)))),
% join(F,join(
% join(
% meet(G,B),
% meet(B,V_7)),B)))),
% join(A,join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),
% meet(B,join(A,B))),C)))
% -> B; trace = Cp of 2 and 1
% [4] join(meet(join(meet(join(meet(A,B),meet(B,join(A,B))),B),meet(B,join(
% join(
% meet(A,B),
% meet(B,
% join(A,B))),B))),C),
% meet(B,join(join(meet(join(meet(A,B),meet(B,join(A,B))),B),meet(B,
% join(join(
% meet(A,B),
% meet(B,
% join(A,B))),B))),C)))
% -> B; trace = Cp of 3 and 1
% [5] join(meet(A,B),meet(A,join(A,B))) -> A; trace = Self cp of 4
% [6] join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)),
% meet(B,join(A,
% join(join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),
% meet(B,join(A,B))),C)))
% -> B; trace = Cp of 4 and 2
% [10] join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,
% join(join(
% meet(D,B),
% meet(B,E)),B)),
% meet(join(meet(B,
% meet(
% meet(
% join(F,
% join(B,G)),
% join(V_7,B)),B)),
% meet(V_8,
% join(B,
% meet(meet(
% join(F,
% join(B,G)),
% join(V_7,B)),B)))),
% join(A,join(
% join(
% meet(D,B),
% meet(B,E)),B)))),
% join(join(meet(A,B),
% meet(B,join(A,B))),C)))
% -> B; trace = Cp of 4 and 3
% [17] join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,
% join(B,B)),
% meet(B,join(A,
% join(B,B)))),
% join(join(meet(A,B),
% meet(B,join(A,B))),C)))
% -> B; trace = Cp of 6 and 5
% [18] join(meet(B,join(join(meet(C,A),meet(A,D)),A)),meet(A,join(B,join(
% join(
% meet(C,A),
% meet(A,D)),A))))
% -> A; trace = Self cp of 6
% [35] join(meet(B,join(join(meet(C,A),meet(A,D)),A)),meet(join(meet(A,
% meet(meet(
% join(E,
% join(A,F)),
% join(G,A)),A)),
% meet(V_7,join(A,
% meet(
% meet(
% join(E,
% join(A,F)),
% join(G,A)),A)))),
% join(B,join(join(
% meet(C,A),
% meet(A,D)),A))))
% -> A; trace = Cp of 17 and 10
% [37] join(meet(A,join(B,B)),meet(B,join(A,join(B,B)))) -> B; trace = Cp of 18 and 5
% [52] join(meet(A,A),meet(E,join(A,A))) -> A; trace = Cp of 35 and 5
% [90] join(A,A) -> A; trace = Cp of 52 and 37
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 2.820000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------