TSTP Solution File: BOO081-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : BOO081-1 : 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 00:19:22 EDT 2014

% Result   : Timeout 300.01s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : BOO081-1 : 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 : Thu Jun  5 23:37:33 CDT 2014
% % CPUTime  : 300.01 
% Processing problem /tmp/CiME_1169_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(A,nand(A,nand(A,B))),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(A,nand(A,nand(A,B))),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(A,nand(A,nand(A,B))),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(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),V_3))),
% 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(A,B),nand(nand(A,B),nand(nand(A,B),C))),nand(C,A)) -> C
% Rule
% [2]
% nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),V_3))),
% 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(A,nand(A,nand(A,B))),nand(B,nand(C,nand(C,nand(C,A))))) -> 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(A,B),nand(nand(A,B),nand(nand(A,B),nand(B,nand(B,nand(B,C)))))),C)
% -> nand(B,nand(B,nand(B,C)))
% 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(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,A)),A)) -> nand(B,nand(C,A))
% Current number of equations to process: 35
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced :
% [7]
% nand(nand(A,nand(A,nand(A,nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C)))))),C)
% -> nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C)))
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% nand(nand(A,nand(A,nand(A,nand(nand(B,A),nand(nand(B,A),nand(nand(B,A),B)))))),B)
% -> nand(nand(B,A),nand(nand(B,A),nand(nand(B,A),B)))
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,nand(C,nand(C,A)))),A)) ->
% nand(B,nand(C,nand(C,nand(C,A))))
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,A)),nand(V_3,nand(A,nand(A,nand(A,B)))))) ->
% nand(B,nand(C,A))
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11]
% nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),A))),nand(nand(
% nand(A,B),
% nand(
% nand(A,B),
% nand(
% nand(A,B),A))),A)),B)
% -> nand(A,nand(A,nand(A,B)))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [12]
% nand(nand(nand(nand(A,nand(B,C)),V_3),nand(nand(nand(A,nand(B,C)),V_3),
% nand(nand(nand(A,nand(B,C)),V_3),
% nand(C,nand(C,nand(C,A)))))),A) ->
% nand(C,nand(C,nand(C,A)))
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [13]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),nand(
% nand(A,
% nand(A,
% nand(A,B))),
% nand(B,
% nand(B,
% nand(B,C)))))),C)
% -> nand(B,nand(B,nand(B,C)))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [14]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(B,A)) -> nand(B,nand(B,nand(B,nand(B,A))))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [15]
% nand(nand(A,nand(A,nand(A,nand(nand(A,nand(A,nand(A,B))),nand(nand(A,
% nand(A,
% nand(A,B))),B))))),
% nand(B,nand(C,A))) ->
% nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B))
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [16]
% nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C))),nand(nand(
% nand(A,B),
% nand(
% nand(A,B),
% nand(
% nand(A,B),C))),C)),
% nand(nand(C,A),nand(A,B))) -> nand(C,A)
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [17]
% nand(nand(nand(nand(A,B),C),nand(nand(nand(A,B),C),nand(nand(nand(A,B),C),
% nand(nand(B,V_3),nand(
% nand(B,V_3),
% nand(
% nand(B,V_3),A)))))),A)
% -> nand(nand(B,V_3),nand(nand(B,V_3),nand(nand(B,V_3),A)))
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [18]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,A)),nand(V_3,nand(V_3,nand(V_3,nand(A,nand(A,nand(A,B))))))))
% -> nand(B,nand(C,A))
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [19]
% nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),V_3))),
% nand(V_3,nand(nand(C,nand(C,nand(C,A))),nand(nand(C,nand(C,nand(C,A))),A))))
% -> V_3
% Current number of equations to process: 656
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [20]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,nand(C,nand(C,A)))),nand(V_3,nand(A,nand(A,nand(A,B))))))
% -> nand(B,nand(C,nand(C,nand(C,A))))
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [21]
% nand(nand(A,nand(A,nand(A,nand(nand(A,nand(A,nand(A,B))),nand(nand(A,
% nand(A,
% nand(A,B))),B))))),
% nand(B,nand(C,nand(C,nand(C,A))))) ->
% nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B))
% Current number of equations to process: 855
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [22]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,nand(C,nand(C,A)))),nand(V_3,nand(V_3,nand(V_3,nand(A,
% nand(A,
% nand(A,B))))))))
% -> nand(B,nand(C,nand(C,nand(C,A))))
% Current number of equations to process: 949
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23]
% nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C))),nand(C,nand(nand(
% nand(B,V_3),
% nand(
% nand(B,V_3),
% nand(
% nand(B,V_3),A))),
% nand(nand(
% nand(B,V_3),
% nand(
% nand(B,V_3),
% nand(
% nand(B,V_3),A))),A))))
% -> C
% Current number of equations to process: 1065
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [24]
% nand(nand(A,nand(A,nand(A,nand(nand(nand(B,nand(B,A)),C),nand(nand(nand(B,
% nand(B,A)),C),
% nand(nand(nand(B,
% nand(B,A)),C),B)))))),B)
% ->
% nand(nand(nand(B,nand(B,A)),C),nand(nand(nand(B,nand(B,A)),C),nand(nand(
% nand(B,
% nand(B,A)),C),B)))
% Current number of equations to process: 1069
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25]
% nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),
% nand(A,nand(A,nand(A,
% nand(C,
% nand(C,
% nand(C,A))))))))),
% nand(C,nand(C,nand(C,A)))) ->
% nand(A,nand(A,nand(A,nand(C,nand(C,nand(C,A))))))
% Current number of equations to process: 1285
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26]
% nand(nand(A,nand(A,nand(A,nand(nand(B,C),nand(nand(B,C),nand(nand(B,C),
% nand(C,nand(C,
% nand(C,
% nand(V_3,A)))))))))),
% nand(C,nand(C,nand(C,nand(V_3,A))))) ->
% nand(nand(B,C),nand(nand(B,C),nand(nand(B,C),nand(C,nand(C,nand(C,nand(V_3,A)))))))
% Current number of equations to process: 1388
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27]
% nand(nand(nand(nand(A,nand(B,nand(B,nand(B,C)))),V_3),nand(nand(nand(A,
% nand(B,
% nand(B,
% nand(B,C)))),V_3),
% nand(nand(nand(A,
% nand(B,
% nand(B,
% nand(B,C)))),V_3),
% nand(C,nand(C,nand(C,A)))))),A)
% -> nand(C,nand(C,nand(C,A)))
% Current number of equations to process: 1508
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28]
% nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),nand(nand(C,V_3),nand(
% nand(C,V_3),
% nand(
% nand(C,V_3),
% nand(V_3,
% nand(V_3,
% nand(V_3,A))))))))),
% nand(V_3,nand(V_3,nand(V_3,A)))) ->
% nand(nand(C,V_3),nand(nand(C,V_3),nand(nand(C,V_3),nand(V_3,nand(V_3,
% nand(V_3,A))))))
% Current number of equations to process: 1639
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29]
% nand(nand(nand(A,nand(A,nand(A,nand(B,nand(B,nand(B,A)))))),nand(nand(A,
% nand(A,
% nand(A,
% nand(B,
% nand(B,
% nand(B,A)))))),
% nand(B,nand(B,
% nand(B,A))))),
% nand(A,nand(C,B))) ->
% nand(nand(B,nand(B,nand(B,A))),nand(nand(B,nand(B,nand(B,A))),A))
% Current number of equations to process: 1767
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30]
% nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C))),nand(nand(
% nand(A,B),
% nand(
% nand(A,B),
% nand(
% nand(A,B),C))),C)),
% nand(nand(C,A),nand(V_3,nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C))))))
% -> nand(C,A)
% Current number of equations to process: 1916
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31]
% nand(nand(nand(A,nand(B,nand(B,nand(B,C)))),nand(nand(A,nand(B,nand(B,
% nand(B,C)))),
% nand(nand(A,nand(B,nand(B,
% nand(B,C)))),V_3))),
% nand(V_3,nand(nand(C,nand(C,nand(C,A))),nand(nand(C,nand(C,nand(C,A))),A))))
% -> V_3
% Current number of equations to process: 2064
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32]
% nand(nand(nand(A,nand(A,nand(A,nand(A,B)))),nand(nand(A,nand(A,nand(A,
% nand(A,B)))),
% nand(A,B))),nand(nand(nand(A,B),
% nand(C,A)),
% nand(nand(B,nand(B,
% nand(B,A))),
% nand(nand(B,nand(B,
% nand(B,A))),A))))
% -> nand(nand(A,B),nand(C,A))
% Current number of equations to process: 2223
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33]
% nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),nand(B,nand(B,
% nand(B,C)))))),
% nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),nand(B,nand(B,
% nand(B,C)))))),
% nand(B,nand(B,nand(B,C))))),nand(C,nand(A,B))) -> C
% Current number of equations to process: 2379
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [34]
% nand(nand(A,nand(A,nand(A,nand(B,A)))),nand(nand(A,nand(A,nand(A,nand(B,A)))),
% nand(B,A))) -> nand(B,A)
% Current number of equations to process: 2531
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35]
% nand(nand(nand(A,nand(A,nand(A,nand(B,A)))),nand(B,A)),nand(nand(B,A),A)) ->
% nand(B,A)
% Current number of equations to process: 2558
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [36]
% nand(nand(A,B),nand(nand(nand(B,nand(B,nand(B,nand(A,B)))),nand(A,B)),B)) ->
% nand(nand(B,nand(B,nand(B,nand(A,B)))),nand(A,B))
% Current number of equations to process: 2565
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [37]
% nand(nand(A,B),nand(nand(nand(A,B),nand(C,B)),B)) ->
% nand(nand(A,B),nand(C,B))
% Current number of equations to process: 2569
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38]
% nand(nand(A,B),nand(nand(nand(A,B),nand(C,nand(C,nand(C,B)))),B)) ->
% nand(nand(A,B),nand(C,nand(C,nand(C,B))))
% Current number of equations to process: 2575
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [39]
% nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),A))),nand(nand(nand(A,B),
% nand(nand(A,B),
% nand(nand(A,B),A))),A))
% -> A
% Rule
% [11]
% nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),A))),nand(nand(
% nand(A,B),
% nand(
% nand(A,B),
% nand(
% nand(A,B),A))),A)),B)
% -> nand(A,nand(A,nand(A,B))) collapsed.
% Current number of equations to process: 2575
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [40] nand(A,nand(A,nand(A,B))) -> nand(A,B)
% Rule [1] nand(nand(A,nand(A,nand(A,B))),nand(B,nand(C,A))) -> B collapsed.
% Rule
% [3] nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C))),nand(C,A)) -> C
% collapsed.
% Rule
% [4] nand(nand(A,nand(A,nand(A,B))),nand(B,nand(C,nand(C,nand(C,A))))) -> B
% collapsed.
% Rule
% [5]
% nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),nand(B,nand(B,nand(B,C)))))),C)
% -> nand(B,nand(B,nand(B,C))) collapsed.
% Rule
% [6]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,A)),A)) -> nand(B,nand(C,A)) collapsed.
% Rule
% [7]
% nand(nand(A,nand(A,nand(A,nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C)))))),C)
% -> nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C))) collapsed.
% Rule
% [8]
% nand(nand(A,nand(A,nand(A,nand(nand(B,A),nand(nand(B,A),nand(nand(B,A),B)))))),B)
% -> nand(nand(B,A),nand(nand(B,A),nand(nand(B,A),B))) collapsed.
% Rule
% [9]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,nand(C,nand(C,A)))),A)) ->
% nand(B,nand(C,nand(C,nand(C,A)))) collapsed.
% Rule
% [10]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,A)),nand(V_3,nand(A,nand(A,nand(A,B)))))) ->
% nand(B,nand(C,A)) collapsed.
% Rule
% [12]
% nand(nand(nand(nand(A,nand(B,C)),V_3),nand(nand(nand(A,nand(B,C)),V_3),
% nand(nand(nand(A,nand(B,C)),V_3),
% nand(C,nand(C,nand(C,A)))))),A) ->
% nand(C,nand(C,nand(C,A))) collapsed.
% Rule
% [13]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),nand(
% nand(A,
% nand(A,
% nand(A,B))),
% nand(B,
% nand(B,
% nand(B,C)))))),C)
% -> nand(B,nand(B,nand(B,C))) collapsed.
% Rule
% [14]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(B,A)) -> nand(B,nand(B,nand(B,nand(B,A)))) collapsed.
% Rule
% [15]
% nand(nand(A,nand(A,nand(A,nand(nand(A,nand(A,nand(A,B))),nand(nand(A,
% nand(A,
% nand(A,B))),B))))),
% nand(B,nand(C,A))) ->
% nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)) collapsed.
% Rule
% [16]
% nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C))),nand(nand(
% nand(A,B),
% nand(
% nand(A,B),
% nand(
% nand(A,B),C))),C)),
% nand(nand(C,A),nand(A,B))) -> nand(C,A) collapsed.
% Rule
% [17]
% nand(nand(nand(nand(A,B),C),nand(nand(nand(A,B),C),nand(nand(nand(A,B),C),
% nand(nand(B,V_3),nand(
% nand(B,V_3),
% nand(
% nand(B,V_3),A)))))),A)
% -> nand(nand(B,V_3),nand(nand(B,V_3),nand(nand(B,V_3),A))) collapsed.
% Rule
% [18]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,A)),nand(V_3,nand(V_3,nand(V_3,nand(A,nand(A,nand(A,B))))))))
% -> nand(B,nand(C,A)) collapsed.
% Rule
% [19]
% nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),V_3))),
% nand(V_3,nand(nand(C,nand(C,nand(C,A))),nand(nand(C,nand(C,nand(C,A))),A))))
% -> V_3 collapsed.
% Rule
% [20]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,nand(C,nand(C,A)))),nand(V_3,nand(A,nand(A,nand(A,B))))))
% -> nand(B,nand(C,nand(C,nand(C,A)))) collapsed.
% Rule
% [21]
% nand(nand(A,nand(A,nand(A,nand(nand(A,nand(A,nand(A,B))),nand(nand(A,
% nand(A,
% nand(A,B))),B))))),
% nand(B,nand(C,nand(C,nand(C,A))))) ->
% nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)) collapsed.
% Rule
% [22]
% nand(nand(nand(A,nand(A,nand(A,B))),nand(nand(A,nand(A,nand(A,B))),B)),
% nand(nand(B,nand(C,nand(C,nand(C,A)))),nand(V_3,nand(V_3,nand(V_3,nand(A,
% nand(A,
% nand(A,B))))))))
% -> nand(B,nand(C,nand(C,nand(C,A)))) collapsed.
% Rule
% [23]
% nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C))),nand(C,nand(nand(
% nand(B,V_3),
% nand(
% nand(B,V_3),
% nand(
% nand(B,V_3),A))),
% nand(nand(
% nand(B,V_3),
% nand(
% nand(B,V_3),
% nand(
% nand(B,V_3),A))),A))))
% -> C collapsed.
% Rule
% [24]
% nand(nand(A,nand(A,nand(A,nand(nand(nand(B,nand(B,A)),C),nand(nand(nand(B,
% nand(B,A)),C),
% nand(nand(nand(B,
% nand(B,A)),C),B)))))),B)
% ->
% nand(nand(nand(B,nand(B,A)),C),nand(nand(nand(B,nand(B,A)),C),nand(nand(
% nand(B,
% nand(B,A)),C),B)))
% collapsed.
% Rule
% [25]
% nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),
% nand(A,nand(A,nand(A,
% nand(C,
% nand(C,
% nand(C,A))))))))),
% nand(C,nand(C,nand(C,A)))) ->
% nand(A,nand(A,nand(A,nand(C,nand(C,nand(C,A)))))) collapsed.
% Rule
% [26]
% nand(nand(A,nand(A,nand(A,nand(nand(B,C),nand(nand(B,C),nand(nand(B,C),
% nand(C,nand(C,
% nand(C,
% nand(V_3,A)))))))))),
% nand(C,nand(C,nand(C,nand(V_3,A))))) ->
% nand(nand(B,C),nand(nand(B,C),nand(nand(B,C),nand(C,nand(C,nand(C,nand(V_3,A)))))))
% collapsed.
% Rule
% [27]
% nand(nand(nand(nand(A,nand(B,nand(B,nand(B,C)))),V_3),nand(nand(nand(A,
% nand(B,
% nand(B,
% nand(B,C)))),V_3),
% nand(nand(nand(A,
% nand(B,
% nand(B,
% nand(B,C)))),V_3),
% nand(C,nand(C,nand(C,A)))))),A)
% -> nand(C,nand(C,nand(C,A))) collapsed.
% Rule
% [28]
% nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),nand(nand(C,V_3),nand(
% nand(C,V_3),
% nand(
% nand(C,V_3),
% nand(V_3,
% nand(V_3,
% nand(V_3,A))))))))),
% nand(V_3,nand(V_3,nand(V_3,A)))) ->
% nand(nand(C,V_3),nand(nand(C,V_3),nand(nand(C,V_3),nand(V_3,nand(V_3,
% nand(V_3,A))))))
% collapsed.
% Rule
% [29]
% nand(nand(nand(A,nand(A,nand(A,nand(B,nand(B,nand(B,A)))))),nand(nand(A,
% nand(A,
% nand(A,
% nand(B,
% nand(B,
% nand(B,A)))))),
% nand(B,nand(B,
% nand(B,A))))),
% nand(A,nand(C,B))) ->
% nand(nand(B,nand(B,nand(B,A))),nand(nand(B,nand(B,nand(B,A))),A)) collapsed.
% Rule
% [30]
% nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C))),nand(nand(
% nand(A,B),
% nand(
% nand(A,B),
% nand(
% nand(A,B),C))),C)),
% nand(nand(C,A),nand(V_3,nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),C))))))
% -> nand(C,A) collapsed.
% Rule
% [31]
% nand(nand(nand(A,nand(B,nand(B,nand(B,C)))),nand(nand(A,nand(B,nand(B,
% nand(B,C)))),
% nand(nand(A,nand(B,nand(B,
% nand(B,C)))),V_3))),
% nand(V_3,nand(nand(C,nand(C,nand(C,A))),nand(nand(C,nand(C,nand(C,A))),A))))
% -> V_3 collapsed.
% Rule
% [32]
% nand(nand(nand(A,nand(A,nand(A,nand(A,B)))),nand(nand(A,nand(A,nand(A,
% nand(A,B)))),
% nand(A,B))),nand(nand(nand(A,B),
% nand(C,A)),
% nand(nand(B,nand(B,
% nand(B,A))),
% nand(nand(B,nand(B,
% nand(B,A))),A))))
% -> nand(nand(A,B),nand(C,A)) collapsed.
% Rule
% [33]
% nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),nand(B,nand(B,
% nand(B,C)))))),
% nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),nand(B,nand(B,
% nand(B,C)))))),
% nand(B,nand(B,nand(B,C))))),nand(C,nand(A,B))) -> C collapsed.
% Rule
% [34]
% nand(nand(A,nand(A,nand(A,nand(B,A)))),nand(nand(A,nand(A,nand(A,nand(B,A)))),
% nand(B,A))) -> nand(B,A) collapsed.
% Rule
% [35]
% nand(nand(nand(A,nand(A,nand(A,nand(B,A)))),nand(B,A)),nand(nand(B,A),A)) ->
% nand(B,A) collapsed.
% Rule
% [36]
% nand(nand(A,B),nand(nand(nand(B,nand(B,nand(B,nand(A,B)))),nand(A,B)),B)) ->
% nand(nand(B,nand(B,nand(B,nand(A,B)))),nand(A,B)) collapsed.
% Rule
% [38]
% nand(nand(A,B),nand(nand(nand(A,B),nand(C,nand(C,nand(C,B)))),B)) ->
% nand(nand(A,B),nand(C,nand(C,nand(C,B)))) collapsed.
% Rule
% [39]
% nand(nand(nand(A,B),nand(nand(A,B),nand(nand(A,B),A))),nand(nand(nand(A,B),
% nand(nand(A,B),
% nand(nand(A,B),A))),A))
% -> A collapsed.
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced : [41] nand(nand(nand(A,B),C),nand(C,A)) -> C
% Current number of equations to process: 2599
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced : [42] nand(nand(A,B),nand(B,nand(C,A))) -> B
% Current number of equations to process: 2598
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [43] nand(nand(nand(A,B),nand(B,C)),C) -> nand(B,C)
% Current number of equations to process: 2597
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [44] nand(nand(A,nand(nand(A,B),C)),C) -> nand(nand(A,B),C)
% Current number of equations to process: 2596
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [45] nand(nand(A,nand(nand(B,A),B)),B) -> nand(nand(B,A),B)
% Current number of equations to process: 2595
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [46] nand(nand(nand(A,B),A),nand(nand(nand(A,B),A),A)) -> A
% Current number of equations to process: 2594
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [47] nand(nand(nand(nand(A,nand(B,C)),V_3),nand(C,A)),A) -> nand(C,A)
% Current number of equations to process: 2593
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [48]
% nand(nand(nand(nand(A,B),C),nand(nand(B,V_3),A)),A) -> nand(nand(B,V_3),A)
% Current number of equations to process: 2592
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [49] nand(nand(nand(A,B),nand(nand(A,B),B)),nand(B,A)) -> nand(B,nand(B,A))
% Current number of equations to process: 2591
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [50] nand(nand(A,nand(B,A)),nand(nand(A,nand(B,A)),nand(B,A))) -> nand(B,A)
% Current number of equations to process: 2590
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [51] nand(A,nand(nand(A,B),nand(B,C))) -> nand(A,B)
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [52] nand(nand(A,B),nand(nand(A,B),B)) -> B
% Rule [46] nand(nand(nand(A,B),A),nand(nand(nand(A,B),A),A)) -> A collapsed.
% Rule
% [49] nand(nand(nand(A,B),nand(nand(A,B),B)),nand(B,A)) -> nand(B,nand(B,A))
% collapsed.
% Rule
% [50] nand(nand(A,nand(B,A)),nand(nand(A,nand(B,A)),nand(B,A))) -> nand(B,A)
% collapsed.
% Current number of equations to process: 2607
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced : [53] nand(nand(nand(A,B),A),nand(A,B)) -> A
% Current number of equations to process: 2607
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [54] nand(A,nand(nand(A,nand(B,C)),C)) -> nand(A,nand(B,C))
% Rule
% [37]
% nand(nand(A,B),nand(nand(nand(A,B),nand(C,B)),B)) ->
% nand(nand(A,B),nand(C,B)) collapsed.
% Current number of equations to process: 2606
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [55] nand(nand(A,A),nand(A,A)) -> A
% Current number of equations to process: 2621
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [56] nand(nand(nand(nand(A,nand(A,B)),C),A),nand(A,B)) -> A
% Current number of equations to process: 2645
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [57] nand(nand(nand(A,nand(A,B)),C),nand(C,nand(A,B))) -> C
% Current number of equations to process: 2644
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [58] nand(nand(nand(A,nand(nand(B,C),V_3)),V_3),nand(V_3,B)) -> V_3
% Current number of equations to process: 2643
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [59] nand(nand(nand(A,nand(B,C)),C),nand(C,nand(V_3,B))) -> C
% Current number of equations to process: 2642
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [60] nand(nand(A,B),nand(B,nand(nand(B,nand(C,A)),V_3))) -> B
% Current number of equations to process: 2641
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [61] nand(nand(nand(A,B),C),nand(C,nand(nand(C,A),V_3))) -> C
% Current number of equations to process: 2657
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [62] nand(A,nand(nand(A,B),nand(C,nand(nand(B,V_3),A)))) -> nand(A,B)
% Current number of equations to process: 2656
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [63] nand(nand(nand(A,B),nand(B,C)),nand(B,nand(B,C))) -> nand(B,C)
% Current number of equations to process: 2655
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [64] nand(A,nand(A,nand(nand(B,A),A))) -> nand(nand(B,A),A)
% Current number of equations to process: 2675
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [65] nand(nand(A,nand(B,A)),A) -> nand(B,A)
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [66] nand(A,nand(nand(nand(B,A),A),B)) -> nand(nand(B,A),A)
% Current number of equations to process: 2683
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [67] nand(nand(nand(nand(A,B),B),C),nand(C,B)) -> C
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [68] nand(A,nand(nand(A,B),A)) -> nand(A,B)
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [69] nand(nand(A,A),nand(A,B)) -> A
% Rule [55] nand(nand(A,A),nand(A,A)) -> A collapsed.
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [70] nand(A,nand(nand(A,B),nand(A,B))) -> nand(A,B)
% Current number of equations to process: 2692
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [71] nand(nand(A,B),nand(B,B)) -> B
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [72] nand(A,nand(nand(A,B),nand(nand(C,B),B))) -> nand(A,B)
% Current number of equations to process: 2711
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [73] nand(nand(nand(A,nand(B,C)),C),nand(nand(B,C),C)) -> C
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [74] nand(nand(A,B),nand(B,nand(nand(nand(A,B),B),C))) -> B
% Current number of equations to process: 2709
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [75] nand(nand(nand(A,nand(nand(B,C),B)),B),nand(B,C)) -> B
% Current number of equations to process: 2708
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [76] nand(nand(nand(A,B),A),nand(A,nand(nand(A,B),C))) -> A
% Current number of equations to process: 2707
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [77] nand(A,nand(nand(A,B),nand(nand(A,nand(A,B)),C))) -> nand(A,B)
% Current number of equations to process: 2934
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [78] nand(nand(nand(nand(nand(A,B),B),C),nand(A,B)),B) -> nand(A,B)
% Current number of equations to process: 2933
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [79] nand(nand(A,nand(nand(nand(B,A),A),C)),C) -> nand(nand(nand(B,A),A),C)
% Current number of equations to process: 2932
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [80] nand(A,nand(nand(A,B),nand(C,nand(nand(A,B),A)))) -> nand(A,B)
% Current number of equations to process: 2931
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [81] nand(nand(nand(A,nand(A,nand(B,C))),nand(C,A)),A) -> nand(C,A)
% Current number of equations to process: 2928
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [82] nand(nand(nand(A,nand(B,nand(C,B))),nand(C,B)),B) -> nand(C,B)
% Current number of equations to process: 2927
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [83] nand(nand(A,nand(B,A)),nand(nand(B,A),nand(A,C))) -> nand(B,A)
% Current number of equations to process: 2926
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [84] nand(nand(nand(A,B),nand(A,B)),B) -> nand(A,B)
% Current number of equations to process: 3076
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [85] nand(nand(A,B),nand(B,nand(A,B))) -> B
% Current number of equations to process: 3085
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [86] nand(nand(A,B),nand(B,nand(nand(B,B),C))) -> B
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [87] nand(nand(nand(nand(A,A),B),nand(C,A)),A) -> nand(C,A)
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [88] nand(A,nand(nand(A,A),nand(B,nand(C,A)))) -> nand(A,A)
% Current number of equations to process: 3096
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [89] nand(nand(nand(A,A),A),A) -> nand(A,A)
% Current number of equations to process: 3149
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [90] nand(nand(A,nand(nand(B,A),A)),nand(A,A)) -> A
% Current number of equations to process: 3152
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [91] nand(nand(A,A),A) -> nand(A,nand(A,A))
% Rule [89] nand(nand(nand(A,A),A),A) -> nand(A,A) collapsed.
% Current number of equations to process: 3227
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [92] nand(A,nand(nand(A,A),B)) -> nand(A,A)
% Rule [86] nand(nand(A,B),nand(B,nand(nand(B,B),C))) -> B collapsed.
% Rule [88] nand(A,nand(nand(A,A),nand(B,nand(C,A)))) -> nand(A,A) collapsed.
% Current number of equations to process: 3228
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [93] nand(nand(A,nand(B,B)),B) -> nand(B,B)
% Current number of equations to process: 3231
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [94] nand(nand(A,A),nand(nand(B,A),A)) -> A
% Current number of equations to process: 3242
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [95] nand(A,nand(nand(nand(B,A),A),A)) -> nand(nand(B,A),A)
% Current number of equations to process: 3240
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [96] nand(A,nand(nand(A,B),nand(C,nand(A,A)))) -> nand(A,B)
% Current number of equations to process: 3238
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [97] nand(nand(A,nand(A,A)),nand(A,A)) -> A
% Current number of equations to process: 3264
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [98] nand(nand(nand(A,nand(A,A)),nand(B,A)),A) -> nand(B,A)
% Current number of equations to process: 3267
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [99] nand(nand(nand(nand(A,B),B),B),nand(nand(A,B),B)) -> B
% Current number of equations to process: 3266
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [100] nand(nand(A,B),nand(B,nand(C,nand(B,nand(A,B))))) -> B
% Current number of equations to process: 3265
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [101] nand(nand(A,B),nand(B,nand(A,nand(nand(C,A),A)))) -> B
% Current number of equations to process: 3263
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [102] nand(nand(nand(nand(nand(A,B),A),C),A),nand(A,B)) -> A
% Current number of equations to process: 3262
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [103] nand(nand(nand(A,B),B),B) -> nand(B,nand(nand(A,B),B))
% Rule [95] nand(A,nand(nand(nand(B,A),A),A)) -> nand(nand(B,A),A) collapsed.
% Rule [99] nand(nand(nand(nand(A,B),B),B),nand(nand(A,B),B)) -> B collapsed.
% Current number of equations to process: 3355
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [104] nand(nand(B,nand(nand(A,B),B)),nand(nand(A,B),B)) -> B
% Current number of equations to process: 3362
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [105] nand(nand(nand(A,nand(B,C)),C),nand(C,nand(B,C))) -> C
% Current number of equations to process: 3423
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [106] nand(nand(A,B),nand(B,nand(nand(B,nand(A,B)),C))) -> B
% Current number of equations to process: 3453
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [107] nand(nand(nand(A,B),nand(B,C)),nand(nand(B,C),B)) -> nand(B,C)
% Current number of equations to process: 3452
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [108] nand(A,nand(nand(A,B),nand(nand(nand(A,B),A),C))) -> nand(A,B)
% Current number of equations to process: 3451
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [109] nand(nand(nand(A,nand(nand(B,A),A)),nand(A,C)),C) -> nand(A,C)
% Current number of equations to process: 3567
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [110] nand(nand(nand(A,nand(nand(B,A),A)),nand(B,A)),A) -> nand(B,A)
% Current number of equations to process: 3707
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [111] nand(A,nand(nand(A,nand(B,A)),B)) -> nand(A,nand(B,A))
% Current number of equations to process: 3816
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [112] nand(nand(A,B),nand(B,nand(A,nand(A,A)))) -> B
% Current number of equations to process: 3968
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [113] nand(nand(nand(A,nand(A,A)),nand(A,B)),B) -> nand(A,B)
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [114] nand(A,nand(nand(B,nand(A,A)),nand(A,A))) -> nand(A,A)
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [115] nand(nand(A,nand(A,A)),nand(A,nand(B,nand(A,A)))) -> A
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [116] nand(nand(A,nand(nand(B,A),A)),nand(A,nand(B,A))) -> A
% Current number of equations to process: 4508
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [117] nand(nand(A,nand(A,B)),nand(A,B)) -> nand(nand(A,B),nand(A,nand(A,B)))
% Rule [97] nand(nand(A,nand(A,A)),nand(A,A)) -> A collapsed.
% Current number of equations to process: 4508
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [118] nand(nand(A,nand(nand(nand(A,B),A),A)),nand(A,B)) -> A
% Current number of equations to process: 4506
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [119] nand(nand(nand(nand(A,nand(B,A)),C),nand(B,A)),A) -> nand(B,A)
% Current number of equations to process: 4660
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [120] nand(nand(nand(A,B),nand(A,B)),nand(A,nand(A,B))) -> nand(A,B)
% Current number of equations to process: 4659
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [121] nand(A,nand(nand(A,nand(B,nand(B,B))),B)) -> nand(A,nand(B,nand(B,B)))
% Current number of equations to process: 4657
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [122] nand(nand(nand(A,B),nand(A,A)),nand(A,nand(A,A))) -> nand(A,A)
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [123]
% nand(A,nand(nand(A,nand(B,C)),nand(V_3,nand(C,A)))) -> nand(A,nand(B,C))
% Current number of equations to process: 1686
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [124] nand(nand(A,B),nand(nand(A,nand(A,B)),nand(C,A))) -> nand(A,nand(A,B))
% Current number of equations to process: 1874
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [125] nand(nand(A,B),nand(B,nand(C,nand(nand(V_3,A),nand(A,B))))) -> B
% Current number of equations to process: 2032
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [126] nand(nand(nand(nand(A,B),C),nand(nand(A,B),A)),A) -> nand(nand(A,B),A)
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [127] nand(nand(nand(nand(nand(A,B),nand(B,C)),V_3),A),nand(A,B)) -> A
% Current number of equations to process: 2296
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [128] nand(nand(A,B),nand(nand(A,B),nand(A,nand(A,B)))) -> nand(A,nand(A,B))
% Current number of equations to process: 2474
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [129] nand(A,nand(nand(nand(B,A),A),nand(C,nand(B,A)))) -> nand(nand(B,A),A)
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [130] nand(nand(nand(A,B),nand(A,nand(C,A))),nand(C,A)) -> nand(A,nand(C,A))
% Current number of equations to process: 2638
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [131] nand(nand(nand(nand(nand(A,B),nand(A,B)),C),A),nand(A,B)) -> A
% Current number of equations to process: 2720
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [132] nand(A,nand(nand(A,nand(B,C)),nand(B,nand(B,C)))) -> nand(A,nand(B,C))
% Current number of equations to process: 2782
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [133] nand(nand(nand(A,nand(A,B)),nand(nand(B,C),A)),A) -> nand(nand(B,C),A)
% Current number of equations to process: 2782
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [134] nand(nand(nand(A,nand(nand(nand(B,C),C),V_3)),V_3),nand(V_3,C)) -> V_3
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [135] nand(nand(nand(nand(A,B),B),C),nand(C,nand(nand(C,B),V_3))) -> C
% Current number of equations to process: 3236
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [136] nand(A,nand(nand(nand(B,A),A),nand(nand(B,A),A))) -> nand(nand(B,A),A)
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [137] nand(nand(A,B),nand(nand(nand(A,B),A),nand(C,A))) -> nand(nand(A,B),A)
% Current number of equations to process: 3523
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [138] nand(nand(nand(A,B),nand(C,nand(A,A))),nand(A,A)) -> nand(C,nand(A,A))
% Current number of equations to process: 3658
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [139] nand(nand(A,A),nand(nand(nand(A,A),B),nand(C,A))) -> nand(nand(A,A),B)
% Current number of equations to process: 3732
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [140] nand(A,nand(nand(A,nand(B,A)),nand(C,nand(B,A)))) -> nand(A,nand(B,A))
% Current number of equations to process: 3806
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [141] nand(nand(A,B),nand(B,nand(C,nand(nand(A,B),nand(A,B))))) -> B
% Current number of equations to process: 3872
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [142] nand(nand(nand(nand(A,A),B),nand(A,nand(A,A))),A) -> nand(A,nand(A,A))
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [143] nand(nand(nand(A,nand(B,B)),nand(B,nand(B,B))),B) -> nand(B,nand(B,B))
% Current number of equations to process: 3988
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [144] nand(nand(A,A),nand(nand(A,nand(A,A)),nand(A,B))) -> nand(A,nand(A,A))
% Current number of equations to process: 4050
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [145] nand(nand(nand(A,nand(B,C)),C),nand(C,nand(B,nand(B,B)))) -> C
% Current number of equations to process: 4155
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [146] nand(nand(A,B),nand(B,nand(nand(B,nand(A,nand(A,A))),C))) -> B
% Current number of equations to process: 4326
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [147] nand(A,nand(nand(nand(B,A),A),nand(C,nand(A,A)))) -> nand(nand(B,A),A)
% Current number of equations to process: 4494
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [148] nand(nand(nand(nand(A,B),nand(A,nand(A,B))),A),nand(A,B)) -> A
% Current number of equations to process: 4596
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [149] nand(nand(A,B),nand(B,nand(nand(B,A),nand(B,nand(B,A))))) -> B
% Current number of equations to process: 4632
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [150]
% nand(nand(nand(A,nand(nand(B,C),nand(C,V_3))),nand(C,V_3)),V_3) ->
% nand(C,V_3)
% Current number of equations to process: 4764
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [151]
% nand(nand(nand(A,B),nand(nand(A,nand(A,B)),C)),C) ->
% nand(nand(A,nand(A,B)),C)
% Current number of equations to process: 4965
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [152]
% nand(nand(nand(A,B),nand(B,C)),nand(nand(B,C),nand(C,V_3))) -> nand(B,C)
% Current number of equations to process: 2821
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [153]
% nand(A,nand(nand(A,B),nand(nand(nand(A,B),nand(B,C)),V_3))) -> nand(A,B)
% Current number of equations to process: 3113
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [154]
% nand(nand(nand(A,B),nand(nand(C,nand(B,V_3)),V_3)),V_3) ->
% nand(nand(C,nand(B,V_3)),V_3)
% Current number of equations to process: 3325
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [155]
% nand(A,nand(nand(A,nand(nand(A,B),C)),nand(B,V_3))) ->
% nand(A,nand(nand(A,B),C))
% Current number of equations to process: 3557
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [156]
% nand(A,nand(nand(A,B),nand(C,nand(nand(nand(V_3,B),B),A)))) -> nand(A,B)
% Current number of equations to process: 3803
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [157] nand(nand(nand(A,B),nand(A,nand(A,B))),nand(A,nand(A,B))) -> nand(A,B)
% Current number of equations to process: 4069
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [158] nand(nand(nand(nand(A,nand(B,B)),nand(B,B)),nand(C,B)),B) -> nand(C,B)
% Current number of equations to process: 4148
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [159]
% nand(A,nand(nand(A,nand(nand(A,B),C)),nand(A,B))) ->
% nand(A,nand(nand(A,B),C))
% Current number of equations to process: 4263
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [160]
% nand(nand(A,B),nand(nand(nand(A,B),nand(B,C)),B)) ->
% nand(nand(A,B),nand(B,C))
% Current number of equations to process: 4398
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [161] nand(nand(nand(A,A),nand(nand(B,nand(A,A)),nand(A,A))),A) -> nand(A,A)
% Current number of equations to process: 4534
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [162] nand(nand(nand(nand(A,nand(B,nand(B,B))),C),nand(B,A)),A) -> nand(B,A)
% Current number of equations to process: 4581
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [163] nand(nand(nand(A,nand(A,A)),nand(A,B)),nand(A,nand(A,B))) -> nand(A,B)
% Current number of equations to process: 4781
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [164] nand(nand(nand(A,nand(A,nand(B,nand(B,B)))),nand(B,A)),A) -> nand(B,A)
% Current number of equations to process: 4930
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [165]
% nand(nand(nand(A,B),nand(B,nand(nand(A,B),B))),B) ->
% nand(B,nand(nand(A,B),B))
% Current number of equations to process: 1836
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [166]
% nand(nand(nand(A,B),nand(nand(C,nand(A,B)),B)),B) ->
% nand(nand(C,nand(A,B)),B)
% Current number of equations to process: 2004
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [167]
% nand(nand(A,nand(nand(B,A),nand(A,C))),nand(A,C)) ->
% nand(nand(B,A),nand(A,C))
% Current number of equations to process: 2136
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [168] nand(nand(nand(A,B),nand(nand(B,nand(A,B)),nand(A,B))),B) -> nand(A,B)
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [169] nand(nand(nand(A,B),nand(A,nand(A,B))),nand(nand(A,B),A)) -> nand(A,B)
% Current number of equations to process: 2342
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [170] nand(nand(nand(nand(A,B),nand(A,nand(A,B))),nand(B,A)),A) -> nand(B,A)
% Current number of equations to process: 2442
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [171] nand(nand(nand(nand(A,nand(A,A)),nand(nand(A,A),B)),A),A) -> nand(A,A)
% Current number of equations to process: 2648
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [172]
% nand(nand(A,nand(nand(nand(B,nand(B,A)),C),B)),B) ->
% nand(nand(nand(B,nand(B,A)),C),B)
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [173]
% nand(nand(nand(A,B),C),nand(C,nand(V_3,nand(A,nand(nand(A,B),C))))) -> C
% Current number of equations to process: 2888
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [174] nand(nand(nand(A,B),A),nand(A,nand(C,nand(B,nand(nand(A,B),A))))) -> A
% Current number of equations to process: 3026
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [175]
% nand(nand(nand(nand(nand(A,nand(B,C)),C),V_3),A),nand(A,nand(B,C))) -> A
% Current number of equations to process: 3215
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [176] nand(nand(nand(nand(nand(nand(A,B),B),A),C),B),nand(nand(A,B),B)) -> B
% Current number of equations to process: 3362
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [177]
% nand(nand(nand(A,nand(nand(nand(B,nand(B,C)),V_3),B)),B),nand(B,C)) -> B
% Current number of equations to process: 3578
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [178]
% nand(nand(nand(nand(A,nand(A,B)),C),A),nand(A,nand(nand(A,B),V_3))) -> A
% Current number of equations to process: 3744
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [179]
% nand(nand(nand(A,nand(nand(B,nand(B,C)),V_3)),V_3),nand(V_3,nand(B,C))) ->
% V_3
% Current number of equations to process: 3907
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [180] nand(nand(nand(nand(A,B),nand(nand(A,B),nand(B,C))),A),nand(A,B)) -> A
% Current number of equations to process: 4139
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [181]
% nand(nand(nand(A,nand(A,B)),C),nand(C,nand(nand(C,nand(A,B)),V_3))) -> C
% Current number of equations to process: 4139
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [182]
% nand(nand(nand(A,nand(nand(B,C),V_3)),V_3),nand(V_3,nand(nand(V_3,B),V_4)))
% -> V_3
% Current number of equations to process: 4664
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [183]
% nand(nand(A,nand(nand(B,nand(nand(A,C),V_3)),V_3)),V_3) ->
% nand(nand(B,nand(nand(A,C),V_3)),V_3)
% Current number of equations to process: 2364
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [184]
% nand(nand(nand(A,nand(nand(B,nand(nand(C,V_3),V_4)),V_4)),V_4),nand(V_4,C))
% -> V_4
% Current number of equations to process: 2587
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [185]
% nand(nand(nand(A,nand(B,C)),C),nand(C,nand(nand(C,nand(V_3,B)),V_4))) -> C
% Current number of equations to process: 3012
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [186]
% nand(nand(nand(A,nand(nand(B,nand(C,V_3)),V_3)),V_3),nand(V_3,nand(V_4,C)))
% -> V_3
% Current number of equations to process: 3375
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [187]
% nand(A,nand(nand(A,nand(nand(A,nand(B,C)),V_3)),C)) ->
% nand(A,nand(nand(A,nand(B,C)),V_3))
% Current number of equations to process: 3739
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [188]
% nand(nand(A,B),nand(B,nand(nand(B,nand(nand(B,nand(C,A)),V_3)),V_4))) -> B
% Current number of equations to process: 3978
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [189]
% nand(nand(nand(A,B),C),nand(C,nand(nand(C,nand(nand(C,A),V_3)),V_4))) -> C
% Current number of equations to process: 4417
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [190] nand(nand(nand(nand(A,nand(nand(B,A),A)),C),A),nand(nand(B,A),A)) -> A
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [191] nand(nand(nand(A,nand(nand(B,A),A)),C),nand(C,nand(nand(B,A),A))) -> C
% Current number of equations to process: 4946
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [192] nand(nand(nand(A,nand(C,nand(nand(B,C),C))),C),nand(nand(B,C),C)) -> C
% Current number of equations to process: 1301
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [193] nand(nand(B,nand(nand(A,B),B)),nand(B,nand(nand(nand(A,B),B),C))) -> B
% Current number of equations to process: 1472
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [194]
% nand(nand(nand(A,B),C),nand(C,nand(nand(V_3,nand(C,A)),nand(C,A)))) -> C
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [195]
% nand(nand(nand(A,nand(B,C)),C),nand(C,nand(V_3,nand(C,nand(B,C))))) -> C
% Current number of equations to process: 2116
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [196]
% nand(nand(A,B),nand(B,nand(nand(B,nand(C,nand(B,nand(A,B)))),V_3))) -> B
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [197]
% nand(nand(nand(nand(nand(A,B),nand(nand(C,B),B)),V_3),A),nand(A,B)) -> A
% Current number of equations to process: 2510
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [198]
% nand(nand(nand(A,nand(nand(nand(nand(B,C),B),V_3),B)),B),nand(B,C)) -> B
% Current number of equations to process: 2856
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [199]
% nand(nand(nand(nand(nand(A,B),A),C),A),nand(A,nand(nand(A,B),V_3))) -> A
% Current number of equations to process: 3079
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [200]
% nand(nand(nand(nand(nand(A,B),nand(C,nand(A,A))),V_3),A),nand(A,B)) -> A
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [201] nand(nand(nand(nand(A,nand(A,A)),nand(B,nand(A,A))),A),A) -> nand(A,A)
% Current number of equations to process: 3415
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [202] nand(nand(nand(nand(A,B),nand(nand(A,B),nand(A,B))),A),nand(A,B)) -> A
% Current number of equations to process: 3625
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [203]
% nand(nand(A,B),nand(nand(A,nand(A,B)),nand(A,nand(A,B)))) ->
% nand(A,nand(A,B))
% Current number of equations to process: 3740
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [204]
% nand(nand(A,B),nand(B,nand(C,nand(nand(nand(B,B),V_3),nand(A,B))))) -> B
% Current number of equations to process: 3822
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [205]
% nand(A,nand(nand(A,nand(B,nand(nand(C,B),B))),B)) ->
% nand(A,nand(B,nand(nand(C,B),B)))
% Current number of equations to process: 4030
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [206]
% nand(nand(nand(A,nand(nand(B,nand(C,V_3)),V_3)),V_3),nand(nand(C,V_3),V_3))
% -> V_3
% Current number of equations to process: 4250
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [207]
% nand(nand(nand(A,nand(B,C)),C),nand(C,nand(nand(nand(B,C),C),V_3))) -> C
% Current number of equations to process: 4473
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [208]
% nand(A,nand(nand(A,nand(nand(nand(B,A),A),C)),B)) ->
% nand(A,nand(nand(nand(B,A),A),C))
% Current number of equations to process: 4683
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [209]
% nand(nand(A,B),nand(B,nand(nand(B,nand(nand(nand(A,B),B),C)),V_3))) -> B
% Current number of equations to process: 4944
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [210]
% nand(nand(A,nand(nand(B,nand(nand(C,A),C)),C)),C) ->
% nand(nand(B,nand(nand(C,A),C)),C)
% Current number of equations to process: 1641
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [211]
% nand(nand(nand(A,nand(nand(B,nand(nand(C,V_3),C)),C)),C),nand(C,V_3)) -> C
% Current number of equations to process: 1877
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [212]
% nand(nand(nand(A,nand(nand(B,C),B)),B),nand(B,nand(nand(B,C),V_3))) -> B
% Current number of equations to process: 2098
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [213]
% nand(nand(nand(A,B),A),nand(A,nand(nand(A,nand(nand(A,B),C)),V_3))) -> A
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [214] nand(nand(nand(nand(nand(A,nand(B,A)),B),C),A),nand(A,nand(B,A))) -> A
% Current number of equations to process: 2517
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [215]
% nand(nand(nand(A,nand(B,C)),C),nand(C,nand(B,nand(nand(V_3,B),B)))) -> C
% Current number of equations to process: 2786
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [216]
% nand(nand(A,B),nand(B,nand(nand(B,nand(A,nand(nand(C,A),A))),V_3))) -> B
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [217] nand(nand(A,nand(nand(B,A),A)),nand(A,nand(C,nand(nand(B,A),A)))) -> A
% Current number of equations to process: 3579
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [218] nand(nand(nand(A,nand(B,nand(B,B))),B),nand(B,nand(C,nand(B,B)))) -> B
% Current number of equations to process: 3793
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [219] nand(nand(A,nand(A,A)),nand(A,nand(nand(A,nand(B,nand(A,A))),C))) -> A
% Current number of equations to process: 3924
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [220]
% nand(nand(nand(nand(A,B),B),nand(C,nand(B,B))),nand(B,B)) ->
% nand(C,nand(B,B))
% Current number of equations to process: 4046
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [221] nand(nand(A,B),nand(B,nand(C,nand(nand(B,nand(B,B)),nand(A,B))))) -> B
% Current number of equations to process: 4204
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [222]
% nand(A,nand(nand(A,nand(B,nand(A,nand(C,A)))),C)) ->
% nand(A,nand(B,nand(A,nand(C,A))))
% Current number of equations to process: 4435
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [223] nand(nand(nand(A,B),C),nand(C,nand(nand(A,B),nand(A,nand(A,B))))) -> C
% Current number of equations to process: 4714
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [224]
% nand(nand(A,nand(nand(nand(nand(B,A),B),C),B)),B) ->
% nand(nand(nand(nand(B,A),B),C),B)
% Current number of equations to process: 394
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [225] nand(nand(nand(A,nand(B,nand(nand(C,B),B))),B),nand(B,nand(C,B))) -> B
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [226] nand(nand(A,nand(nand(B,A),A)),nand(A,nand(nand(A,nand(B,A)),C))) -> A
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [227]
% nand(nand(nand(A,nand(nand(B,nand(C,V_3)),V_3)),V_3),nand(V_3,nand(C,V_3)))
% -> V_3
% Current number of equations to process: 1103
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [228]
% nand(nand(nand(A,nand(B,C)),C),nand(C,nand(nand(C,nand(B,C)),V_3))) -> C
% Current number of equations to process: 1337
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [229]
% nand(A,nand(nand(A,nand(nand(A,nand(B,A)),C)),B)) ->
% nand(A,nand(nand(A,nand(B,A)),C))
% Current number of equations to process: 1567
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [230]
% nand(nand(A,B),nand(B,nand(nand(B,nand(nand(B,nand(A,B)),C)),V_3))) -> B
% Current number of equations to process: 1848
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [231]
% nand(nand(A,B),nand(nand(A,nand(A,B)),nand(A,nand(A,A)))) ->
% nand(A,nand(A,B))
% Current number of equations to process: 2070
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [232]
% nand(nand(A,A),nand(nand(nand(A,A),B),nand(A,nand(A,A)))) ->
% nand(nand(A,A),B)
% Current number of equations to process: 2342
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [233] nand(nand(A,B),nand(B,nand(C,nand(nand(A,nand(A,A)),nand(A,B))))) -> B
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [234] nand(nand(nand(nand(A,B),nand(A,nand(A,B))),B),nand(B,nand(C,A))) -> B
% Current number of equations to process: 2741
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [235] nand(nand(nand(nand(A,B),nand(A,nand(A,B))),B),nand(nand(A,B),B)) -> B
% Current number of equations to process: 3306
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [236]
% nand(nand(A,nand(B,nand(nand(nand(B,A),B),B))),B) ->
% nand(B,nand(nand(nand(B,A),B),B))
% Current number of equations to process: 3587
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [237] nand(nand(nand(A,nand(B,nand(nand(nand(B,C),B),B))),B),nand(B,C)) -> B
% Current number of equations to process: 3959
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [238] nand(nand(A,nand(nand(nand(A,B),A),A)),nand(A,nand(nand(A,B),C))) -> A
% Current number of equations to process: 4226
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [239] nand(nand(nand(nand(A,nand(A,A)),nand(A,B)),nand(A,A)),nand(A,A)) -> A
% Current number of equations to process: 4317
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [240] nand(nand(nand(nand(A,nand(A,A)),nand(B,A)),nand(A,A)),nand(A,A)) -> A
% Current number of equations to process: 4430
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [241]
% nand(A,nand(nand(A,B),nand(C,nand(nand(nand(nand(A,B),A),V_3),A)))) ->
% nand(A,B)
% Current numbCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------