TSTP Solution File: BOO101-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : BOO101-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n098.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 00:19:24 EDT 2014

% Result   : Timeout 300.10s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : BOO101-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n098.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun  6 00:44:48 CDT 2014
% % CPUTime  : 300.10 
% Processing problem /tmp/CiME_12149_n098.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b,a : constant;  nand : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% nand(nand(nand(nand(A,B),A),A),nand(B,nand(C,A))) = B;
% ";
% 
% let s1 = status F "
% b lr_lex;
% a lr_lex;
% nand lr_lex;
% ";
% 
% let p1 = precedence F "
% nand > a > b";
% 
% let s2 = status F "
% b mul;
% a mul;
% nand mul;
% ";
% 
% let p2 = precedence F "
% nand > a = b";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " nand(nand(a,a),nand(b,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 = { nand(nand(nand(nand(A,B),A),A),nand(B,nand(C,A)))
% = 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 = { nand(nand(a,a),nand(b,a)) = a }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1] nand(nand(nand(nand(A,B),A),A),nand(B,nand(C,A))) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% nand(nand(nand(nand(nand(A,nand(B,C)),V_3),nand(A,nand(B,C))),nand(A,
% nand(B,C))),
% nand(V_3,A)) -> V_3
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3] nand(nand(nand(nand(nand(A,B),C),nand(A,B)),nand(A,B)),nand(C,A)) -> C
% Rule
% [2]
% nand(nand(nand(nand(nand(A,nand(B,C)),V_3),nand(A,nand(B,C))),nand(A,
% nand(B,C))),
% nand(V_3,A)) -> V_3 collapsed.
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [4] nand(nand(nand(nand(A,B),A),A),nand(B,nand(nand(nand(C,A),C),C))) -> B
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [5]
% nand(nand(nand(nand(nand(A,B),nand(nand(nand(B,C),B),B)),nand(A,B)),nand(A,B)),C)
% -> nand(nand(nand(B,C),B),B)
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [6]
% nand(nand(nand(nand(A,nand(nand(nand(nand(A,B),C),nand(A,B)),nand(A,B))),A),A),C)
% -> nand(nand(nand(nand(A,B),C),nand(A,B)),nand(A,B))
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [7]
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)),
% nand(nand(A,nand(C,B)),nand(nand(B,A),B))) -> nand(A,nand(C,B))
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)),
% nand(nand(A,nand(C,B)),nand(V_3,nand(nand(nand(B,A),B),B)))) ->
% nand(A,nand(C,B))
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9]
% nand(nand(nand(nand(nand(nand(A,nand(B,C)),V_3),nand(nand(nand(C,A),C),C)),
% nand(nand(A,nand(B,C)),V_3)),nand(nand(A,nand(B,C)),V_3)),A) ->
% nand(nand(nand(C,A),C),C)
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10]
% nand(nand(nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(B,C),B),B)),
% nand(nand(nand(A,B),A),A)),nand(nand(nand(A,B),A),A)),C) ->
% nand(nand(nand(B,C),B),B)
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11]
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)),
% nand(nand(A,nand(nand(nand(C,B),C),C)),nand(nand(B,A),B))) ->
% nand(A,nand(nand(nand(C,B),C),C))
% Current number of equations to process: 169
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [12]
% nand(nand(nand(nand(A,nand(nand(nand(nand(B,C),nand(nand(B,A),B)),nand(B,C)),
% nand(B,C))),A),A),nand(nand(B,A),B)) ->
% nand(nand(nand(nand(B,C),nand(nand(B,A),B)),nand(B,C)),nand(B,C))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [13]
% nand(nand(nand(nand(A,nand(nand(nand(B,nand(nand(nand(C,B),A),nand(C,B))),B),B)),A),A),
% nand(nand(nand(C,B),A),nand(C,B))) ->
% nand(nand(nand(B,nand(nand(nand(C,B),A),nand(C,B))),B),B)
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [14]
% nand(nand(nand(nand(nand(nand(A,B),C),nand(nand(nand(nand(B,V_3),A),nand(B,V_3)),
% nand(B,V_3))),nand(nand(A,B),C)),
% nand(nand(A,B),C)),A) ->
% nand(nand(nand(nand(B,V_3),A),nand(B,V_3)),nand(B,V_3))
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [15]
% nand(nand(nand(nand(nand(A,nand(B,C)),V_3),nand(A,nand(B,C))),nand(A,
% nand(B,C))),
% nand(V_3,nand(nand(A,nand(nand(nand(C,A),C),C)),nand(nand(nand(C,A),C),C))))
% -> V_3
% Current number of equations to process: 341
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [16]
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)),
% nand(nand(A,nand(C,B)),nand(nand(nand(V_3,nand(nand(nand(B,A),B),B)),V_3),V_3)))
% -> nand(A,nand(C,B))
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [17]
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)),
% nand(nand(A,nand(nand(nand(C,B),C),C)),nand(V_3,nand(nand(nand(B,A),B),B))))
% -> nand(A,nand(nand(nand(C,B),C),C))
% Current number of equations to process: 501
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [18]
% nand(nand(nand(A,nand(nand(nand(nand(B,C),A),nand(B,C)),nand(B,C))),nand(
% nand(
% nand(
% nand(B,C),A),
% nand(B,C)),
% nand(B,C))),
% nand(nand(A,B),nand(nand(nand(B,C),A),nand(B,C)))) -> nand(A,B)
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [19]
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)),
% nand(nand(A,nand(nand(nand(C,B),C),C)),nand(nand(nand(V_3,nand(nand(nand(B,A),B),B)),V_3),V_3)))
% -> nand(A,nand(nand(nand(C,B),C),C))
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [20]
% nand(nand(nand(nand(nand(A,B),C),nand(A,B)),nand(A,B)),nand(C,nand(nand(A,
% nand(
% nand(
% nand(
% nand(B,V_3),A),
% nand(B,V_3)),
% nand(B,V_3))),
% nand(nand(
% nand(
% nand(B,V_3),A),
% nand(B,V_3)),
% nand(B,V_3)))))
% -> C
% Current number of equations to process: 728
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [21]
% nand(nand(nand(nand(A,nand(nand(nand(nand(B,C),nand(nand(nand(C,nand(V_3,A)),C),C)),
% nand(B,C)),nand(B,C))),A),A),nand(nand(nand(C,
% nand(V_3,A)),C),C))
% ->
% nand(nand(nand(nand(B,C),nand(nand(nand(C,nand(V_3,A)),C),C)),nand(B,C)),
% nand(B,C))
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [22]
% nand(nand(nand(nand(nand(nand(A,nand(nand(nand(B,C),B),B)),V_3),nand(
% nand(
% nand(C,A),C),C)),
% nand(nand(A,nand(nand(nand(B,C),B),B)),V_3)),nand(nand(A,nand(
% nand(
% nand(B,C),B),B)),V_3)),A)
% -> nand(nand(nand(C,A),C),C)
% Current number of equations to process: 935
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23]
% nand(nand(nand(nand(nand(A,B),nand(nand(nand(nand(C,V_3),nand(nand(nand(V_3,A),V_3),V_3)),
% nand(C,V_3)),nand(C,V_3))),nand(A,B)),
% nand(A,B)),nand(nand(nand(V_3,A),V_3),V_3)) ->
% nand(nand(nand(nand(C,V_3),nand(nand(nand(V_3,A),V_3),V_3)),nand(C,V_3)),
% nand(C,V_3))
% Current number of equations to process: 1041
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [24]
% nand(nand(nand(nand(nand(nand(A,B),A),nand(nand(B,nand(nand(nand(A,B),A),A)),
% nand(nand(nand(A,B),A),A))),nand(
% nand(A,B),A)),
% nand(nand(A,B),A)),nand(B,nand(C,A))) ->
% nand(nand(B,nand(nand(nand(A,B),A),A)),nand(nand(nand(A,B),A),A))
% Current number of equations to process: 1151
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25]
% nand(nand(nand(A,nand(nand(nand(nand(B,C),A),nand(B,C)),nand(B,C))),nand(
% nand(
% nand(
% nand(B,C),A),
% nand(B,C)),
% nand(B,C))),
% nand(nand(A,B),nand(V_3,nand(nand(nand(nand(B,C),A),nand(B,C)),nand(B,C)))))
% -> nand(A,B)
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26]
% nand(nand(nand(nand(nand(A,nand(B,C)),nand(nand(nand(C,nand(A,nand(nand(
% nand(C,A),C),C))),C),C)),
% nand(A,nand(B,C))),nand(A,nand(B,C))),nand(A,nand(nand(nand(C,A),C),C)))
% -> nand(nand(nand(C,nand(A,nand(nand(nand(C,A),C),C))),C),C)
% Current number of equations to process: 1380
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27]
% nand(nand(nand(nand(nand(A,nand(B,C)),nand(nand(nand(A,nand(A,nand(nand(
% nand(C,A),C),C))),A),A)),
% nand(A,nand(B,C))),nand(A,nand(B,C))),nand(A,nand(nand(nand(C,A),C),C)))
% -> nand(nand(nand(A,nand(A,nand(nand(nand(C,A),C),C))),A),A)
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28]
% nand(nand(nand(nand(nand(A,nand(nand(nand(B,C),B),B)),V_3),nand(A,nand(
% nand(
% nand(B,C),B),B))),
% nand(A,nand(nand(nand(B,C),B),B))),nand(V_3,nand(nand(A,nand(nand(
% nand(C,A),C),C)),
% nand(nand(nand(C,A),C),C))))
% -> V_3
% Current number of equations to process: 1627
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29]
% nand(nand(nand(nand(A,nand(nand(nand(B,nand(nand(nand(nand(B,C),nand(V_3,A)),
% nand(B,C)),nand(B,C))),B),B)),A),A),
% nand(nand(nand(nand(B,C),nand(V_3,A)),nand(B,C)),nand(B,C))) ->
% nand(nand(nand(B,nand(nand(nand(nand(B,C),nand(V_3,A)),nand(B,C)),nand(B,C))),B),B)
% Current number of equations to process: 1783
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30]
% nand(nand(nand(nand(nand(nand(A,B),A),nand(nand(B,nand(nand(nand(A,B),A),A)),
% nand(nand(nand(A,B),A),A))),nand(
% nand(A,B),A)),
% nand(nand(A,B),A)),nand(B,nand(nand(nand(C,A),C),C))) ->
% nand(nand(B,nand(nand(nand(A,B),A),A)),nand(nand(nand(A,B),A),A))
% Current number of equations to process: 1923
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31]
% nand(nand(nand(A,nand(nand(nand(nand(B,C),A),nand(B,C)),nand(B,C))),nand(
% nand(
% nand(
% nand(B,C),A),
% nand(B,C)),
% nand(B,C))),
% nand(nand(A,B),nand(nand(nand(V_3,nand(nand(nand(nand(B,C),A),nand(B,C)),
% nand(B,C))),V_3),V_3))) -> nand(A,B)
% Current number of equations to process: 2066
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32]
% nand(nand(nand(nand(nand(A,B),nand(nand(nand(C,nand(nand(nand(nand(C,V_3),A),
% nand(C,V_3)),nand(C,V_3))),C),C)),
% nand(A,B)),nand(A,B)),nand(nand(nand(nand(C,V_3),A),nand(C,V_3)),
% nand(C,V_3))) ->
% nand(nand(nand(C,nand(nand(nand(nand(C,V_3),A),nand(C,V_3)),nand(C,V_3))),C),C)
% Current number of equations to process: 2207
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33]
% nand(nand(nand(nand(A,nand(nand(nand(nand(B,C),nand(nand(nand(C,nand(
% nand(
% nand(V_3,A),V_3),V_3)),C),C)),
% nand(B,C)),nand(B,C))),A),A),nand(nand(nand(C,
% nand(
% nand(
% nand(V_3,A),V_3),V_3)),C),C))
% ->
% nand(nand(nand(nand(B,C),nand(nand(nand(C,nand(nand(nand(V_3,A),V_3),V_3)),C),C)),
% nand(B,C)),nand(B,C))
% Current number of equations to process: 2345
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [34]
% nand(nand(nand(nand(A,B),A),A),nand(B,nand(nand(nand(nand(nand(C,A),C),C),
% nand(nand(nand(nand(V_3,C),
% nand(nand(nand(C,A),C),C)),
% nand(V_3,C)),nand(V_3,C))),
% nand(nand(nand(nand(V_3,C),nand(
% nand(
% nand(C,A),C),C)),
% nand(V_3,C)),nand(V_3,C))))) -> B
% Current number of equations to process: 2507
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35]
% nand(nand(nand(nand(A,nand(nand(nand(B,nand(nand(nand(nand(A,C),nand(
% nand(A,B),A)),
% nand(A,C)),nand(A,C))),B),B)),A),A),
% nand(nand(nand(nand(A,C),nand(nand(A,B),A)),nand(A,C)),nand(A,C))) ->
% nand(nand(nand(B,nand(nand(nand(nand(A,C),nand(nand(A,B),A)),nand(A,C)),
% nand(A,C))),B),B)
% Current number of equations to process: 2693
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [36]
% nand(nand(nand(nand(A,nand(nand(nand(B,nand(nand(nand(nand(nand(C,B),C),C),A),
% nand(nand(nand(C,B),C),C))),B),B)),A),A),
% nand(nand(nand(nand(nand(C,B),C),C),A),nand(nand(nand(C,B),C),C))) ->
% nand(nand(nand(B,nand(nand(nand(nand(nand(C,B),C),C),A),nand(nand(nand(C,B),C),C))),B),B)
% Current number of equations to process: 2832
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [37]
% nand(nand(nand(nand(nand(A,B),nand(nand(nand(C,nand(nand(nand(B,nand(
% nand(
% nand(A,B),C),
% nand(A,B))),B),B)),C),C)),
% nand(A,B)),nand(A,B)),nand(nand(nand(B,nand(nand(nand(A,B),C),
% nand(A,B))),B),B)) ->
% nand(nand(nand(C,nand(nand(nand(B,nand(nand(nand(A,B),C),nand(A,B))),B),B)),C),C)
% Current number of equations to process: 2959
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38]
% nand(nand(nand(nand(nand(A,B),nand(nand(nand(A,nand(A,nand(nand(nand(
% nand(B,C),A),
% nand(B,C)),
% nand(B,C)))),A),A)),
% nand(A,B)),nand(A,B)),nand(A,nand(nand(nand(nand(B,C),A),nand(B,C)),
% nand(B,C)))) ->
% nand(nand(nand(A,nand(A,nand(nand(nand(nand(B,C),A),nand(B,C)),nand(B,C)))),A),A)
% Current number of equations to process: 3087
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [39]
% nand(nand(nand(nand(nand(A,nand(nand(nand(B,C),B),B)),nand(nand(C,nand(
% nand(
% nand(B,C),B),B)),
% nand(nand(nand(B,C),B),B))),
% nand(A,nand(nand(nand(B,C),B),B))),nand(A,nand(nand(nand(B,C),B),B))),
% nand(C,nand(V_3,B))) ->
% nand(nand(C,nand(nand(nand(B,C),B),B)),nand(nand(nand(B,C),B),B))
% Current number of equations to process: 3251
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [40]
% nand(nand(nand(nand(nand(A,nand(nand(nand(B,C),B),B)),nand(nand(nand(C,
% nand(A,
% nand(
% nand(
% nand(C,A),C),C))),C),C)),
% nand(A,nand(nand(nand(B,C),B),B))),nand(A,nand(nand(nand(B,C),B),B))),
% nand(A,nand(nand(nand(C,A),C),C))) ->
% nand(nand(nand(C,nand(A,nand(nand(nand(C,A),C),C))),C),C)
% Current number of equations to process: 3471
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [41]
% nand(nand(nand(nand(nand(A,nand(nand(nand(B,C),B),B)),nand(nand(nand(A,
% nand(A,
% nand(
% nand(
% nand(C,A),C),C))),A),A)),
% nand(A,nand(nand(nand(B,C),B),B))),nand(A,nand(nand(nand(B,C),B),B))),
% nand(A,nand(nand(nand(C,A),C),C))) ->
% nand(nand(nand(A,nand(A,nand(nand(nand(C,A),C),C))),A),A)
% Current number of equations to process: 3651
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [42]
% nand(nand(nand(nand(A,B),A),A),nand(B,nand(nand(nand(nand(nand(nand(C,V_3),A),
% nand(C,V_3)),nand(C,V_3)),
% nand(nand(nand(C,nand(nand(
% nand(
% nand(C,V_3),A),
% nand(C,V_3)),
% nand(C,V_3))),C),C)),
% nand(nand(nand(C,nand(nand(nand(
% nand(C,V_3),A),
% nand(C,V_3)),
% nand(C,V_3))),C),C))))
% -> B
% Current number of equations to process: 3827
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43]
% nand(nand(nand(nand(A,nand(nand(nand(B,nand(nand(nand(nand(B,C),nand(
% nand(
% nand(V_3,A),V_3),V_3)),
% nand(B,C)),nand(B,C))),B),B)),A),A),
% nand(nand(nand(nand(B,C),nand(nand(nand(V_3,A),V_3),V_3)),nand(B,C)),
% nand(B,C))) ->
% nand(nand(nand(B,nand(nand(nand(nand(B,C),nand(nand(nand(V_3,A),V_3),V_3)),
% nand(B,C)),nand(B,C))),B),B)
% Current number of equations to process: 4038
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44]
% nand(nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(nand(C,A),nand(
% nand(
% nand(A,B),A),A)),
% nand(C,A)),nand(C,A))),
% nand(nand(nand(nand(C,A),nand(nand(nand(A,B),A),A)),nand(C,A)),nand(C,A))),
% nand(B,nand(nand(nand(C,A),nand(nand(nand(A,B),A),A)),nand(C,A)))) -> B
% Current number of equations to process: 4230
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [45]
% nand(nand(nand(nand(nand(A,nand(nand(nand(B,C),B),B)),nand(nand(C,nand(
% nand(
% nand(B,C),B),B)),
% nand(nand(nand(B,C),B),B))),
% nand(A,nand(nand(nand(B,C),B),B))),nand(A,nand(nand(nand(B,C),B),B))),
% nand(C,nand(nand(nand(V_3,B),V_3),V_3))) ->
% nand(nand(C,nand(nand(nand(B,C),B),B)),nand(nand(nand(B,C),B),B))
% Current number of equations to process: 4412
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46]
% nand(nand(nand(nand(A,nand(nand(nand(nand(nand(nand(B,C),B),B),nand(nand(
% nand(C,
% nand(V_3,A)),C),C)),
% nand(nand(nand(B,C),B),B)),nand(nand(nand(B,C),B),B))),A),A),
% nand(nand(nand(C,nand(V_3,A)),C),C)) ->
% nand(nand(nand(nand(nand(nand(B,C),B),B),nand(nand(nand(C,nand(V_3,A)),C),C)),
% nand(nand(nand(B,C),B),B)),nand(nand(nand(B,C),B),B))
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [47]
% nand(nand(nand(nand(nand(A,B),nand(nand(nand(nand(nand(A,nand(C,V_3)),V_4),
% nand(nand(nand(V_3,A),V_3),V_3)),
% nand(nand(A,nand(C,V_3)),V_4)),nand(
% nand(A,
% nand(C,V_3)),V_4))),
% nand(A,B)),nand(A,B)),nand(nand(nand(V_3,A),V_3),V_3)) ->
% nand(nand(nand(nand(nand(A,nand(C,V_3)),V_4),nand(nand(nand(V_3,A),V_3),V_3)),
% nand(nand(A,nand(C,V_3)),V_4)),nand(nand(A,nand(C,V_3)),V_4))
% Current number of equations to process: 4879
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [48]
% nand(nand(nand(nand(nand(A,B),nand(nand(nand(nand(nand(nand(C,V_3),C),C),
% nand(nand(nand(V_3,A),V_3),V_3)),
% nand(nand(nand(C,V_3),C),C)),nand(
% nand(
% nand(C,V_3),C),C))),
% nand(A,B)),nand(A,B)),nand(nand(nand(V_3,A),V_3),V_3)) ->
% nand(nand(nand(nand(nand(nand(C,V_3),C),C),nand(nand(nand(V_3,A),V_3),V_3)),
% nand(nand(nand(C,V_3),C),C)),nand(nand(nand(C,V_3),C),C))
% Current number of equations to process: 3142
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [49]
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)),
% nand(nand(A,nand(C,B)),nand(nand(nand(nand(B,A),B),nand(nand(nand(nand(B,V_3),
% nand(nand(B,A),B)),
% nand(B,V_3)),
% nand(B,V_3))),nand(
% nand(
% nand(
% nand(B,V_3),
% nand(
% nand(B,A),B)),
% nand(B,V_3)),
% nand(B,V_3)))))
% -> nand(A,nand(C,B))
% Current number of equations to process: 3366
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [50]
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(C,A),C),C)),
% nand(nand(nand(C,A),C),C))),nand(nand(A,
% nand(
% nand(
% nand(C,A),C),C)),
% nand(nand(
% nand(C,A),C),C))),
% nand(nand(nand(A,nand(B,C)),nand(nand(C,A),C)),nand(A,nand(nand(nand(C,A),C),C))))
% -> nand(nand(A,nand(B,C)),nand(nand(C,A),C))
% Current number of equations to process: 3642
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [51]
% nand(nand(nand(nand(nand(A,B),nand(nand(nand(nand(B,C),nand(A,nand(nand(
% nand(
% nand(B,C),A),
% nand(B,C)),
% nand(B,C)))),
% nand(B,C)),nand(B,C))),nand(A,B)),
% nand(A,B)),nand(A,nand(nand(nand(nand(B,C),A),nand(B,C)),nand(B,C)))) ->
% nand(nand(nand(nand(B,C),nand(A,nand(nand(nand(nand(B,C),A),nand(B,C)),
% nand(B,C)))),nand(B,C)),nand(B,C))
% Current number of equations to process: 3889
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [52]
% nand(nand(nand(nand(A,nand(nand(nand(B,nand(nand(nand(nand(C,A),nand(
% nand(
% nand(A,
% nand(V_3,B)),A),A)),
% nand(C,A)),nand(C,A))),B),B)),A),A),
% nand(nand(nand(nand(C,A),nand(nand(nand(A,nand(V_3,B)),A),A)),nand(C,A)),
% nand(C,A))) ->
% nand(nand(nand(B,nand(nand(nand(nand(C,A),nand(nand(nand(A,nand(V_3,B)),A),A)),
% nand(C,A)),nand(C,A))),B),B)
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [53]
% nand(nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(nand(C,A),nand(
% nand(
% nand(A,B),A),A)),
% nand(C,A)),nand(C,A))),
% nand(nand(nand(nand(C,A),nand(nand(nand(A,B),A),A)),nand(C,A)),nand(C,A))),
% nand(B,nand(V_3,nand(nand(nand(nand(C,A),nand(nand(nand(A,B),A),A)),nand(C,A)),
% nand(C,A))))) -> B
% Current number of equations to process: 4354
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [54]
% nand(nand(nand(nand(nand(A,B),nand(nand(nand(nand(nand(A,C),V_3),nand(
% nand(
% nand(
% nand(C,V_4),A),
% nand(C,V_4)),
% nand(C,V_4))),
% nand(nand(A,C),V_3)),nand(nand(A,C),V_3))),
% nand(A,B)),nand(A,B)),nand(nand(nand(nand(C,V_4),A),nand(C,V_4)),
% nand(C,V_4))) ->
% nand(nand(nand(nand(nand(A,C),V_3),nand(nand(nand(nand(C,V_4),A),nand(C,V_4)),
% nand(C,V_4))),nand(nand(A,C),V_3)),
% nand(nand(A,C),V_3))
% Current number of equations to process: 4594
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [55]
% nand(nand(nand(nand(A,nand(nand(nand(nand(B,C),nand(nand(nand(nand(V_3,A),
% nand(nand(nand(A,B),A),A)),
% nand(V_3,A)),nand(V_3,A))),
% nand(B,C)),nand(B,C))),A),A),nand(nand(nand(
% nand(V_3,A),
% nand(
% nand(
% nand(A,B),A),A)),
% nand(V_3,A)),
% nand(V_3,A))) ->
% nand(nand(nand(nand(B,C),nand(nand(nand(nand(V_3,A),nand(nand(nand(A,B),A),A)),
% nand(V_3,A)),nand(V_3,A))),nand(B,C)),nand(B,C))
% Current number of equations to process: 4946
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [56]
% nand(nand(nand(nand(nand(nand(nand(A,B),C),nand(A,B)),nand(A,B)),nand(
% nand(
% nand(A,
% nand(
% nand(
% nand(
% nand(A,B),C),
% nand(A,B)),
% nand(A,B))),A),A)),
% nand(nand(nand(A,nand(nand(nand(nand(A,B),C),nand(A,B)),nand(A,B))),A),A)),
% nand(C,nand(nand(A,nand(nand(nand(nand(A,B),C),nand(A,B)),nand(A,B))),A))) ->
% C
% Current number of equations to process: 2923
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [57]
% nand(nand(nand(nand(nand(nand(nand(A,nand(B,C)),nand(nand(C,A),C)),V_3),
% nand(nand(A,nand(nand(nand(C,A),C),C)),nand(nand(nand(C,A),C),C))),
% nand(nand(nand(A,nand(B,C)),nand(nand(C,A),C)),V_3)),nand(nand(
% nand(A,
% nand(B,C)),
% nand(
% nand(C,A),C)),V_3)),
% nand(A,nand(B,C))) ->
% nand(nand(A,nand(nand(nand(C,A),C),C)),nand(nand(nand(C,A),C),C))
% Current number of equations to process: 2926
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [58]
% nand(nand(nand(nand(nand(nand(nand(A,nand(nand(nand(B,C),B),B)),A),A),
% nand(nand(C,nand(nand(nand(B,C),B),B)),nand(nand(nand(B,C),B),B))),
% nand(nand(nand(A,nand(nand(nand(B,C),B),B)),A),A)),nand(nand(
% nand(A,
% nand(
% nand(
% nand(B,C),B),B)),A),A)),
% nand(C,nand(V_3,B))) ->
% nand(nand(C,nand(nand(nand(B,C),B),B)),nand(nand(nand(B,C),B),B))
% Current number of equations to process: 3449
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [59]
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)),
% nand(nand(A,nand(nand(nand(C,B),C),C)),nand(nand(nand(nand(B,A),B),nand(
% nand(
% nand(
% nand(B,V_3),
% nand(
% nand(B,A),B)),
% nand(B,V_3)),
% nand(B,V_3))),
% nand(nand(nand(nand(B,V_3),nand(
% nand(B,A),B)),
% nand(B,V_3)),nand(B,V_3))))) ->
% nand(A,nand(nand(nand(C,B),C),C))
% Current number of equations to process: 3782
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [60]
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(C,A),C),C)),
% nand(nand(nand(C,A),C),C))),nand(nand(A,
% nand(
% nand(
% nand(C,A),C),C)),
% nand(nand(
% nand(C,A),C),C))),
% nand(nand(nand(A,nand(B,C)),nand(V_3,nand(nand(nand(C,A),C),C))),nand(A,
% nand(
% nand(
% nand(C,A),C),C))))
% -> nand(nand(A,nand(B,C)),nand(V_3,nand(nand(nand(C,A),C),C)))
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [61]
% nand(nand(nand(nand(A,nand(nand(nand(nand(nand(nand(B,A),nand(C,V_3)),V_4),
% nand(nand(nand(V_3,nand(B,A)),V_3),V_3)),
% nand(nand(nand(B,A),nand(C,V_3)),V_4)),nand(
% nand(
% nand(B,A),
% nand(C,V_3)),V_4))),A),A),
% nand(nand(nand(V_3,nand(B,A)),V_3),V_3)) ->
% nand(nand(nand(nand(nand(nand(B,A),nand(C,V_3)),V_4),nand(nand(nand(V_3,
% nand(B,A)),V_3),V_3)),
% nand(nand(nand(B,A),nand(C,V_3)),V_4)),nand(nand(nand(B,A),nand(C,V_3)),V_4))
% Current number of equations to process: 4426
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [62]
% nand(nand(nand(nand(nand(A,B),nand(nand(nand(C,nand(nand(nand(A,nand(
% nand(
% nand(
% nand(A,B),
% nand(V_3,C)),
% nand(A,B)),
% nand(A,B))),A),A)),C),C)),
% nand(A,B)),nand(A,B)),nand(nand(nand(A,nand(nand(nand(nand(A,B),
% nand(V_3,C)),
% nand(A,B)),nand(A,B))),A),A))
% ->
% nand(nand(nand(C,nand(nand(nand(A,nand(nand(nand(nand(A,B),nand(V_3,C)),
% nand(A,B)),nand(A,B))),A),A)),C),C)
% Current number of equations to process: 4780
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [63]
% nand(nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(nand(C,A),nand(
% nand(
% nand(A,B),A),A)),
% nand(C,A)),nand(C,A))),
% nand(nand(nand(nand(C,A),nand(nand(nand(A,B),A),A)),nand(C,A)),nand(C,A))),
% nand(B,nand(nand(nand(V_3,nand(nand(nand(nand(C,A),nand(nand(nand(A,B),A),A)),
% nand(C,A)),nand(C,A))),V_3),V_3))) -> B
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [64]
% nand(nand(nand(nand(A,nand(nand(nand(nand(nand(nand(B,C),B),B),nand(nand(
% nand(C,
% nand(
% nand(
% nand(V_3,A),V_3),V_3)),C),C)),
% nand(nand(nand(B,C),B),B)),nand(nand(nand(B,C),B),B))),A),A),
% nand(nand(nand(C,nand(nand(nand(V_3,A),V_3),V_3)),C),C)) ->
% nand(nand(nand(nand(nand(nand(B,C),B),B),nand(nand(nand(C,nand(nand(nand(V_3,A),V_3),V_3)),C),C)),
% nand(nand(nand(B,C),B),B)),nand(nand(nand(B,C),B),B))
% Current number of equations to process: 3231
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [65]
% nand(nand(nand(nand(nand(nand(nand(A,B),nand(nand(nand(A,C),A),A)),nand(A,B)),
% nand(A,B)),nand(nand(nand(A,nand(nand(nand(nand(A,B),nand(
% nand(
% nand(A,C),A),A)),
% nand(A,B)),nand(A,B))),A),A)),
% nand(nand(nand(A,nand(nand(nand(nand(A,B),nand(nand(nand(A,C),A),A)),
% nand(A,B)),nand(A,B))),A),A)),C) ->
% nand(nand(nand(A,C),A),A)
% Current number of equations to process: 3550
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [66]
% nand(nand(nand(nand(nand(nand(nand(A,B),A),C),nand(nand(nand(B,nand(nand(
% nand(
% nand(A,V_3),
% nand(
% nand(A,B),A)),
% nand(A,V_3)),
% nand(A,V_3))),B),B)),
% nand(nand(nand(A,B),A),C)),nand(nand(nand(A,B),A),C)),nand(
% nand(
% nand(
% nand(A,V_3),
% nand(
% nand(A,B),A)),
% nand(A,V_3)),
% nand(A,V_3)))
% ->
% nand(nand(nand(B,nand(nand(nand(nand(A,V_3),nand(nand(A,B),A)),nand(A,V_3)),
% nand(A,V_3))),B),B)
% Current number of equations to process: 3836
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [67]
% nand(nand(nand(A,nand(nand(nand(nand(B,C),A),nand(B,C)),nand(B,C))),nand(
% nand(
% nand(
% nand(B,C),A),
% nand(B,C)),
% nand(B,C))),
% nand(nand(A,B),nand(nand(nand(nand(nand(B,C),A),nand(B,C)),nand(nand(
% nand(C,
% nand(
% nand(
% nand(B,C),A),
% nand(B,C))),C),C)),
% nand(nand(nand(C,nand(nand(nand(B,C),A),nand(B,C))),C),C))))
% -> nand(A,B)
% Current number of equations to process: 4101
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [68]
% nand(nand(nand(nand(nand(nand(nand(A,B),C),nand(A,B)),nand(A,B)),nand(
% nand(
% nand(A,
% nand(
% nand(
% nand(
% nand(A,B),C),
% nand(A,B)),
% nand(A,B))),A),A)),
% nand(nand(nand(A,nand(nand(nand(nand(A,B),C),nand(A,B)),nand(A,B))),A),A)),
% nand(C,nand(V_3,nand(nand(nand(A,nand(nand(nand(nand(A,B),C),nand(A,B)),
% nand(A,B))),A),A)))) -> C
% Current number of equations to process: 4436
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [69]
% nand(nand(nand(nand(nand(nand(nand(A,B),C),nand(A,B)),nand(nand(C,nand(
% nand(
% nand(
% nand(A,B),C),
% nand(A,B)),
% nand(A,B))),
% nand(nand(nand(
% nand(A,B),C),
% nand(A,B)),
% nand(A,B)))),nand(
% nand(
% nand(A,B),C),
% nand(A,B))),
% nand(nand(nand(A,B),C),nand(A,B))),nand(C,A)) ->
% nand(nand(C,nand(nand(nand(nand(A,B),C),nand(A,B)),nand(A,B))),nand(nand(
% nand(
% nand(A,B),C),
% nand(A,B)),
% nand(A,B)))
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [70]
% nand(nand(nand(nand(nand(nand(nand(A,nand(nand(nand(B,C),B),B)),A),A),
% nand(nand(C,nand(nand(nand(B,C),B),B)),nand(nand(nand(B,C),B),B))),
% nand(nand(nand(A,nand(nand(nand(B,C),B),B)),A),A)),nand(nand(
% nand(A,
% nand(
% nand(
% nand(B,C),B),B)),A),A)),
% nand(C,nand(nand(nand(V_3,B),V_3),V_3))) ->
% nand(nand(C,nand(nand(nand(B,C),B),B)),nand(nand(nand(B,C),B),B))
% Current number of equations to process: 1850
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [71]
% nand(nand(nand(nand(nand(A,nand(nand(A,A),A)),nand(nand(A,nand(nand(nand(A,A),A),A)),
% nand(nand(nand(A,A),A),A))),
% nand(A,nand(nand(A,A),A))),nand(A,nand(nand(A,A),A))),nand(A,
% nand(
% nand(
% nand(
% nand(
% nand(
% nand(A,A),A),A),A),
% nand(
% nand(
% nand(A,A),A),A)),
% nand(
% nand(
% nand(A,A),A),A))))
% -> nand(nand(A,nand(nand(nand(A,A),A),A)),nand(nand(nand(A,A),A),A))
% Current number of equations to process: 2262
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [72]
% nand(nand(nand(nand(A,nand(nand(nand(nand(B,A),nand(nand(nand(C,nand(
% nand(
% nand(A,
% nand(
% nand(
% nand(B,A),C),
% nand(B,A))),A),A)),C),C)),
% nand(B,A)),nand(B,A))),A),A),nand(nand(nand(C,
% nand(
% nand(
% nand(A,
% nand(
% nand(
% nand(B,A),C),
% nand(B,A))),A),A)),C),C))
% ->
% nand(nand(nand(nand(B,A),nand(nand(nand(C,nand(nand(nand(A,nand(nand(
% Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------