TSTP Solution File: BOO100-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : BOO100-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n064.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 300.00s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : BOO100-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n064.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 00:42:18 CDT 2014
% % CPUTime  : 300.00 
% Processing problem /tmp/CiME_40931_n064.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant;  nand : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% nand(nand(nand(A,nand(A,B)),A),nand(B,nand(A,C))) = B;
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% nand lr_lex;
% ";
% 
% let p1 = precedence F "
% nand > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% nand mul;
% ";
% 
% let p2 = precedence F "
% nand > a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " nand(a,nand(b,nand(a,c))) = nand(nand(nand(c,b),b),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(A,nand(A,B)),A),nand(B,nand(A,C)))
% = B } (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { nand(a,nand(b,nand(a,c))) =
% nand(nand(nand(c,b),b),a) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1] nand(nand(nand(A,nand(A,B)),A),nand(B,nand(A,C))) -> 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(A,nand(nand(B,nand(B,A)),B))),A),A) ->
% nand(nand(B,nand(B,A)),B)
% 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,nand(A,B)),A),nand(nand(nand(A,nand(A,B)),A),C)),
% nand(nand(A,nand(A,B)),A)),nand(C,B)) -> C
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(nand(B,nand(A,C)),B)) -> nand(B,nand(A,C))
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(nand(B,nand(A,C)),nand(nand(nand(A,nand(A,B)),A),V_3))) ->
% nand(B,nand(A,C))
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),nand(
% nand(B,
% nand(B,A)),B)),
% nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A)),nand(A,nand(nand(B,
% nand(B,A)),B)))
% -> A
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% nand(nand(nand(A,nand(A,nand(nand(nand(A,B),nand(nand(A,B),nand(nand(C,
% nand(C,
% nand(A,B))),C))),
% nand(A,B)))),A),nand(nand(C,nand(C,nand(A,B))),C)) ->
% nand(nand(nand(A,B),nand(nand(A,B),nand(nand(C,nand(C,nand(A,B))),C))),
% nand(A,B))
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% nand(nand(nand(nand(nand(A,nand(A,nand(B,nand(C,V_3)))),A),nand(nand(
% nand(A,
% nand(A,
% nand(B,
% nand(C,V_3)))),A),
% nand(nand(C,
% nand(C,B)),C))),
% nand(nand(A,nand(A,nand(B,nand(C,V_3)))),A)),B) ->
% nand(nand(C,nand(C,B)),C)
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(nand(nand(
% nand(B,
% nand(B,A)),B),A),
% nand(nand(B,nand(B,A)),B)))),
% nand(A,nand(B,C))),nand(A,nand(B,C))) ->
% nand(nand(nand(nand(B,nand(B,A)),B),A),nand(nand(B,nand(B,A)),B))
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% nand(nand(nand(nand(nand(A,nand(A,B)),A),nand(nand(nand(A,nand(A,B)),A),
% nand(nand(B,nand(B,nand(nand(C,
% nand(C,B)),C))),B))),
% nand(nand(A,nand(A,B)),A)),nand(nand(C,nand(C,B)),C)) ->
% nand(nand(B,nand(B,nand(nand(C,nand(C,B)),C))),B)
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),nand(
% nand(B,
% nand(B,A)),B)),
% nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A)),nand(A,nand(nand(
% nand(A,
% nand(A,
% nand(
% nand(B,
% nand(B,A)),B))),A),C)))
% -> A
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(A,B),nand(nand(A,B),nand(A,B))))),A),
% nand(nand(A,B),nand(nand(A,B),nand(A,B)))),nand(nand(A,nand(A,
% nand(
% nand(A,B),
% nand(
% nand(A,B),
% nand(A,B))))),A)),
% nand(A,B)) -> nand(nand(nand(A,B),nand(nand(A,B),nand(A,B))),nand(A,B))
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% nand(nand(nand(A,nand(A,nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),
% nand(nand(B,nand(B,A)),B)),nand(nand(A,nand(A,
% nand(
% nand(B,
% nand(B,A)),B))),A)))),A),A)
% ->
% nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),nand(nand(B,
% nand(B,A)),B)),
% nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A))
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),nand(nand(nand(A,nand(A,B)),A),C)),
% nand(nand(A,nand(A,B)),A)),C),nand(nand(nand(nand(A,nand(A,B)),A),
% nand(nand(nand(A,nand(A,B)),A),C)),
% nand(nand(A,nand(A,B)),A))),
% nand(nand(C,B),C)) -> nand(C,B)
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(B,nand(A,C))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% nand(A,
% nand(A,B)),A))),
% nand(nand(nand(B,nand(A,C)),B),nand(B,nand(A,C)))) ->
% nand(nand(B,nand(A,C)),B)
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,A)),A),A),nand(nand(A,nand(A,A)),A)),
% nand(A,nand(A,A))),nand(nand(nand(nand(A,nand(A,A)),A),A),nand(
% nand(A,
% nand(A,A)),A))),A)
% -> nand(nand(A,nand(A,A)),A)
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),C)),
% nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A))),
% nand(C,nand(B,nand(A,V_3)))) -> C
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(B,nand(A,C))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% nand(A,
% nand(A,B)),A))),
% nand(nand(nand(B,nand(A,C)),B),nand(B,nand(A,V_3)))) ->
% nand(nand(B,nand(A,C)),B)
% Rule
% [15]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(B,nand(A,C))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% nand(A,
% nand(A,B)),A))),
% nand(nand(nand(B,nand(A,C)),B),nand(B,nand(A,C)))) ->
% nand(nand(B,nand(A,C)),B) collapsed.
% Current number of equations to process: 488
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [19]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(nand(A,nand(A,B)),A))),nand(nand(nand(nand(A,nand(A,B)),A),B),
% nand(nand(A,nand(A,B)),A))),B) ->
% nand(nand(A,nand(A,B)),A)
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [20]
% nand(nand(nand(nand(nand(A,nand(A,nand(B,C))),A),nand(nand(nand(A,nand(A,
% nand(B,C))),A),
% nand(nand(nand(nand(V_3,
% nand(V_3,C)),V_3),
% nand(nand(nand(V_3,
% nand(V_3,C)),V_3),B)),
% nand(nand(V_3,nand(V_3,C)),V_3)))),
% nand(nand(A,nand(A,nand(B,C))),A)),B) ->
% nand(nand(nand(nand(V_3,nand(V_3,C)),V_3),nand(nand(nand(V_3,nand(V_3,C)),V_3),B)),
% nand(nand(V_3,nand(V_3,C)),V_3))
% Current number of equations to process: 667
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [21]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(B,nand(A,C))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% nand(A,
% nand(A,B)),A))),
% nand(nand(nand(B,nand(A,C)),nand(nand(nand(A,nand(A,B)),A),V_3)),nand(B,
% nand(A,C))))
% -> nand(nand(B,nand(A,C)),nand(nand(nand(A,nand(A,B)),A),V_3))
% Current number of equations to process: 763
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [22]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),nand(nand(nand(A,nand(A,B)),A),
% nand(B,nand(B,B)))),
% nand(nand(A,nand(A,B)),A)),nand(B,nand(B,B))),nand(nand(
% nand(
% nand(A,
% nand(A,B)),A),
% nand(
% nand(
% nand(A,
% nand(A,B)),A),
% nand(B,
% nand(B,B)))),
% nand(nand(A,
% nand(A,B)),A))),B)
% -> nand(nand(B,nand(B,B)),B)
% Current number of equations to process: 850
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(B,nand(A,C))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% nand(A,
% nand(A,B)),A))),
% nand(nand(nand(B,nand(A,C)),nand(nand(nand(A,nand(A,B)),A),V_3)),nand(B,
% nand(A,V_4))))
% -> nand(nand(B,nand(A,C)),nand(nand(nand(A,nand(A,B)),A),V_3))
% Rule
% [21]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(B,nand(A,C))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% nand(A,
% nand(A,B)),A))),
% nand(nand(nand(B,nand(A,C)),nand(nand(nand(A,nand(A,B)),A),V_3)),nand(B,
% nand(A,C))))
% -> nand(nand(B,nand(A,C)),nand(nand(nand(A,nand(A,B)),A),V_3)) collapsed.
% Current number of equations to process: 915
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [24]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(B,nand(A,C))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% nand(A,
% nand(A,B)),A))),
% nand(nand(nand(B,nand(A,C)),B),nand(nand(nand(nand(nand(A,nand(A,B)),A),B),
% nand(nand(A,nand(A,B)),A)),V_3))) ->
% nand(nand(B,nand(A,C)),B)
% Current number of equations to process: 1037
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [25]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(C,V_3)),B))),A),nand(
% nand(
% nand(A,
% nand(A,
% nand(
% nand(B,
% nand(C,V_3)),B))),A),
% nand(
% nand(
% nand(
% nand(C,
% nand(C,B)),C),B),
% nand(
% nand(C,
% nand(C,B)),C)))),
% nand(nand(A,nand(A,nand(nand(B,nand(C,V_3)),B))),A)),nand(B,nand(C,V_3)))
% -> nand(nand(nand(nand(C,nand(C,B)),C),B),nand(nand(C,nand(C,B)),C))
% Current number of equations to process: 1126
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [26]
% nand(nand(nand(A,nand(A,nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),
% nand(nand(nand(nand(B,
% nand(B,A)),B),A),
% nand(nand(B,nand(B,A)),B)))),
% nand(A,nand(B,C))))),A),nand(nand(nand(nand(B,
% nand(B,A)),B),A),
% nand(nand(B,nand(B,A)),B)))
% ->
% nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,
% nand(B,A)),B),A),
% nand(nand(B,nand(B,A)),B)))),
% nand(A,nand(B,C)))
% Current number of equations to process: 1251
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [27]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(B,nand(A,C))),nand(nand(nand(nand(A,nand(A,B)),A),B),nand(
% nand(A,
% nand(A,B)),A))),
% nand(nand(nand(B,nand(A,C)),nand(nand(nand(A,nand(A,B)),A),V_3)),nand(
% nand(
% nand(
% nand(
% nand(A,
% nand(A,B)),A),B),
% nand(
% nand(A,
% nand(A,B)),A)),V_4)))
% -> nand(nand(B,nand(A,C)),nand(nand(nand(A,nand(A,B)),A),V_3))
% Current number of equations to process: 1363
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [28]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),nand(nand(nand(A,nand(A,B)),A),C)),
% nand(nand(A,nand(A,B)),A)),C),nand(nand(nand(nand(A,nand(A,B)),A),
% nand(nand(nand(A,nand(A,B)),A),C)),
% nand(nand(A,nand(A,B)),A))),
% nand(nand(C,B),nand(nand(nand(nand(nand(A,nand(A,B)),A),nand(nand(nand(A,
% nand(A,B)),A),C)),
% nand(nand(A,nand(A,B)),A)),V_3))) -> nand(C,B)
% Current number of equations to process: 1459
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [29]
% nand(nand(nand(nand(A,nand(A,nand(B,C))),nand(nand(A,nand(A,nand(B,C))),
% nand(nand(B,nand(B,nand(nand(
% nand(B,C),
% nand(
% nand(B,C),
% nand(
% nand(A,
% nand(A,
% nand(B,C))),A))),
% nand(B,C)))),B))),
% nand(A,nand(A,nand(B,C)))),nand(nand(nand(B,C),nand(nand(B,C),nand(
% nand(A,
% nand(A,
% nand(B,C))),A))),
% nand(B,C))) ->
% nand(nand(B,nand(B,nand(nand(nand(B,C),nand(nand(B,C),nand(nand(A,nand(A,
% nand(B,C))),A))),
% nand(B,C)))),B)
% Current number of equations to process: 1550
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [30]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,A)),A),A),nand(nand(A,nand(A,A)),A)),
% nand(A,nand(A,nand(nand(nand(nand(A,nand(A,A)),A),A),nand(nand(A,
% nand(A,A)),A))))),
% nand(nand(nand(nand(A,nand(A,A)),A),A),nand(nand(A,nand(A,A)),A))),
% nand(nand(nand(nand(A,nand(A,A)),A),A),nand(nand(A,nand(A,A)),A))) ->
% nand(nand(A,nand(A,nand(nand(nand(nand(A,nand(A,A)),A),A),nand(nand(A,
% nand(A,A)),A)))),A)
% Current number of equations to process: 1652
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [31]
% nand(nand(nand(nand(A,nand(A,B)),nand(nand(A,nand(A,B)),nand(nand(nand(
% nand(C,
% nand(C,B)),C),
% nand(nand(
% nand(C,
% nand(C,B)),C),
% nand(nand(B,
% nand(B,
% nand(
% nand(A,
% nand(A,B)),A))),B))),
% nand(nand(C,nand(C,B)),C)))),
% nand(A,nand(A,B))),nand(nand(B,nand(B,nand(nand(A,nand(A,B)),A))),B)) ->
% nand(nand(nand(nand(C,nand(C,B)),C),nand(nand(nand(C,nand(C,B)),C),nand(
% nand(B,
% nand(B,
% nand(
% nand(A,
% nand(A,B)),A))),B))),
% nand(nand(C,nand(C,B)),C))
% Current number of equations to process: 1714
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [32]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),
% nand(nand(B,nand(B,A)),B)),nand(nand(A,nand(A,nand(
% nand(B,
% nand(B,A)),B))),A)),A),
% nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),nand(
% nand(B,
% nand(B,A)),B)),
% nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A))),nand(nand(A,
% nand(nand(B,
% nand(B,A)),B)),A))
% -> nand(A,nand(nand(B,nand(B,A)),B))
% Current number of equations to process: 1827
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [33]
% nand(nand(nand(A,nand(A,nand(nand(nand(nand(B,nand(B,nand(nand(A,C),nand(V_3,V_4)))),B),
% nand(nand(nand(B,nand(B,nand(nand(A,C),nand(V_3,V_4)))),B),
% nand(nand(V_3,nand(V_3,nand(A,C))),V_3))),
% nand(nand(B,nand(B,nand(nand(A,C),nand(V_3,V_4)))),B)))),A),
% nand(nand(V_3,nand(V_3,nand(A,C))),V_3)) ->
% nand(nand(nand(nand(B,nand(B,nand(nand(A,C),nand(V_3,V_4)))),B),nand(
% nand(
% nand(B,
% nand(B,
% nand(
% nand(A,C),
% nand(V_3,V_4)))),B),
% nand(
% nand(V_3,
% nand(V_3,
% nand(A,C))),V_3))),
% nand(nand(B,nand(B,nand(nand(A,C),nand(V_3,V_4)))),B))
% Current number of equations to process: 1918
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [34]
% nand(nand(nand(A,nand(A,nand(nand(nand(nand(A,nand(A,nand(nand(A,B),nand(
% nand(A,B),
% nand(A,B))))),A),
% nand(nand(A,B),nand(nand(A,B),nand(A,B)))),
% nand(nand(A,nand(A,nand(nand(A,B),nand(nand(A,B),
% nand(A,B))))),A)))),A),
% nand(nand(nand(A,B),nand(nand(A,B),nand(A,B))),nand(A,B))) ->
% nand(nand(nand(nand(A,nand(A,nand(nand(A,B),nand(nand(A,B),nand(A,B))))),A),
% nand(nand(A,B),nand(nand(A,B),nand(A,B)))),nand(nand(A,nand(A,nand(
% nand(A,B),
% nand(
% nand(A,B),
% nand(A,B))))),A))
% Current number of equations to process: 2105
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [35]
% nand(nand(nand(nand(nand(A,nand(B,C)),A),nand(nand(nand(A,nand(B,C)),A),
% nand(nand(nand(nand(nand(nand(B,
% nand(B,A)),B),A),
% nand(nand(B,nand(B,A)),B)),
% nand(A,nand(B,C))),nand(
% nand(
% nand(
% nand(B,
% nand(B,A)),B),A),
% nand(
% nand(B,
% nand(B,A)),B))))),
% nand(nand(A,nand(B,C)),A)),nand(nand(A,nand(B,C)),A)) ->
% nand(nand(nand(nand(nand(nand(B,nand(B,A)),B),A),nand(nand(B,nand(B,A)),B)),
% nand(A,nand(B,C))),nand(nand(nand(nand(B,nand(B,A)),B),A),nand(nand(B,
% nand(B,A)),B)))
% Current number of equations to process: 2199
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [36]
% nand(nand(nand(nand(nand(A,nand(A,B)),A),nand(nand(nand(A,nand(A,B)),A),
% nand(nand(nand(nand(nand(nand(B,
% nand(B,B)),B),B),
% nand(nand(B,nand(B,B)),B)),
% nand(B,nand(B,B))),nand(
% nand(
% nand(
% nand(B,
% nand(B,B)),B),B),
% nand(
% nand(B,
% nand(B,B)),B))))),
% nand(nand(A,nand(A,B)),A)),nand(nand(B,nand(B,B)),B)) ->
% nand(nand(nand(nand(nand(nand(B,nand(B,B)),B),B),nand(nand(B,nand(B,B)),B)),
% nand(B,nand(B,B))),nand(nand(nand(nand(B,nand(B,B)),B),B),nand(nand(B,
% nand(B,B)),B)))
% Current number of equations to process: 2353
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [37]
% nand(nand(nand(nand(A,B),nand(nand(A,B),nand(nand(nand(nand(nand(nand(C,
% nand(C,B)),C),
% nand(nand(nand(C,
% nand(C,B)),C),A)),
% nand(nand(C,nand(C,B)),C)),A),
% nand(nand(nand(nand(C,nand(C,B)),C),
% nand(nand(nand(C,nand(C,B)),C),A)),
% nand(nand(C,nand(C,B)),C))))),
% nand(A,B)),nand(A,B)) ->
% nand(nand(nand(nand(nand(nand(C,nand(C,B)),C),nand(nand(nand(C,nand(C,B)),C),A)),
% nand(nand(C,nand(C,B)),C)),A),nand(nand(nand(nand(C,nand(C,B)),C),
% nand(nand(nand(C,nand(C,B)),C),A)),
% nand(nand(C,nand(C,B)),C)))
% Current number of equations to process: 2458
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [38]
% nand(nand(nand(nand(nand(A,nand(A,B)),A),nand(nand(nand(A,nand(A,B)),A),
% nand(nand(nand(nand(C,nand(C,
% nand(B,
% nand(V_3,V_4)))),C),
% nand(nand(nand(C,nand(C,
% nand(B,
% nand(V_3,V_4)))),C),
% nand(nand(V_3,nand(V_3,B)),V_3))),
% nand(nand(C,nand(C,nand(B,nand(V_3,V_4)))),C)))),
% nand(nand(A,nand(A,B)),A)),nand(nand(V_3,nand(V_3,B)),V_3)) ->
% nand(nand(nand(nand(C,nand(C,nand(B,nand(V_3,V_4)))),C),nand(nand(nand(C,
% nand(C,
% nand(B,
% nand(V_3,V_4)))),C),
% nand(nand(V_3,
% nand(V_3,B)),V_3))),
% nand(nand(C,nand(C,nand(B,nand(V_3,V_4)))),C))
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [39]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(C,V_3)),nand(nand(
% nand(C,
% nand(C,B)),C),V_4)))),A),
% nand(nand(nand(A,nand(A,nand(nand(B,nand(C,V_3)),nand(nand(
% nand(C,
% nand(C,B)),C),V_4)))),A),
% nand(nand(nand(nand(C,nand(C,B)),C),B),nand(nand(C,nand(C,B)),C)))),
% nand(nand(A,nand(A,nand(nand(B,nand(C,V_3)),nand(nand(nand(C,nand(C,B)),C),V_4)))),A)),
% nand(B,nand(C,V_3))) ->
% nand(nand(nand(nand(C,nand(C,B)),C),B),nand(nand(C,nand(C,B)),C))
% Current number of equations to process: 2826
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [40]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),
% nand(nand(B,nand(B,A)),B)),nand(nand(A,nand(A,nand(
% nand(B,
% nand(B,A)),B))),A)),A),
% nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),nand(
% nand(B,
% nand(B,A)),B)),
% nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A))),nand(nand(A,
% nand(nand(B,
% nand(B,A)),B)),
% nand(nand(nand(B,
% nand(B,A)),B),
% nand(A,C)))) ->
% nand(A,nand(nand(B,nand(B,A)),B))
% Current number of equations to process: 3010
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [41]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),
% nand(nand(B,nand(B,A)),B)),nand(nand(A,nand(A,nand(
% nand(B,
% nand(B,A)),B))),A)),A),
% nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),nand(
% nand(B,
% nand(B,A)),B)),
% nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A))),nand(nand(A,
% nand(nand(
% nand(A,
% nand(A,
% nand(
% nand(B,
% nand(B,A)),B))),A),C)),A))
% -> nand(A,nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),C))
% Current number of equations to process: 3139
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [42]
% nand(nand(nand(nand(nand(A,nand(A,nand(B,nand(nand(C,nand(C,B)),C)))),A),
% nand(nand(nand(A,nand(A,nand(B,nand(nand(C,nand(C,B)),C)))),A),
% nand(nand(nand(nand(B,nand(B,nand(nand(C,nand(C,B)),C))),B),
% nand(nand(C,nand(C,B)),C)),nand(nand(B,nand(B,nand(nand(C,
% nand(C,B)),C))),B)))),
% nand(nand(A,nand(A,nand(B,nand(nand(C,nand(C,B)),C)))),A)),B) ->
% nand(nand(nand(nand(B,nand(B,nand(nand(C,nand(C,B)),C))),B),nand(nand(C,
% nand(C,B)),C)),
% nand(nand(B,nand(B,nand(nand(C,nand(C,B)),C))),B))
% Current number of equations to process: 3261
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [43]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(nand(nand(nand(C,nand(C,nand(A,V_3))),C),nand(nand(nand(C,
% nand(C,
% nand(A,V_3))),C),B)),
% nand(nand(C,nand(C,nand(A,V_3))),C)))),nand(nand(nand(nand(A,
% nand(A,B)),A),B),
% nand(nand(A,nand(A,B)),A))),B)
% ->
% nand(nand(nand(nand(C,nand(C,nand(A,V_3))),C),nand(nand(nand(C,nand(C,
% nand(A,V_3))),C),B)),
% nand(nand(C,nand(C,nand(A,V_3))),C))
% Current number of equations to process: 3402
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [44]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,nand(B,nand(C,V_3)))),A),
% nand(nand(nand(A,nand(A,nand(B,nand(C,V_3)))),A),
% nand(nand(C,nand(C,B)),C))),nand(nand(A,nand(A,nand(B,
% nand(C,V_3)))),A)),
% nand(nand(C,nand(C,B)),C)),nand(nand(nand(nand(A,nand(A,nand(B,
% nand(C,V_3)))),A),
% nand(nand(nand(A,nand(A,nand(B,
% nand(C,V_3)))),A),
% nand(nand(C,nand(C,B)),C))),
% nand(nand(A,nand(A,nand(B,nand(C,V_3)))),A))),
% nand(B,nand(nand(C,nand(C,B)),C))) -> B
% Current number of equations to process: 3621
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [45]
% nand(nand(nand(nand(nand(A,nand(A,nand(B,nand(C,V_3)))),A),nand(nand(
% nand(A,
% nand(A,
% nand(B,
% nand(C,V_3)))),A),
% nand(nand(
% nand(B,
% nand(C,V_3)),
% nand(
% nand(B,
% nand(C,V_3)),
% nand(
% nand(
% nand(
% nand(C,
% nand(C,B)),C),B),
% nand(
% nand(C,
% nand(C,B)),C)))),
% nand(B,nand(C,V_3))))),
% nand(nand(A,nand(A,nand(B,nand(C,V_3)))),A)),nand(nand(nand(nand(C,
% nand(C,B)),C),B),
% nand(nand(C,nand(C,B)),C)))
% ->
% nand(nand(nand(B,nand(C,V_3)),nand(nand(B,nand(C,V_3)),nand(nand(nand(
% nand(C,
% nand(C,B)),C),B),
% nand(nand(C,nand(C,B)),C)))),
% nand(B,nand(C,V_3)))
% Current number of equations to process: 3866
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [46]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(nand(nand(nand(nand(A,nand(A,B)),A),B),nand(nand(A,nand(A,B)),A)),
% nand(nand(nand(B,nand(A,C)),nand(nand(B,nand(A,C)),nand(nand(V_3,
% nand(V_3,
% nand(B,
% nand(A,C)))),V_3))),
% nand(B,nand(A,C))))),nand(nand(nand(nand(A,nand(A,B)),A),B),
% nand(nand(A,nand(A,B)),A))),nand(nand(V_3,
% nand(V_3,
% nand(B,
% nand(A,C)))),V_3))
% ->
% nand(nand(nand(B,nand(A,C)),nand(nand(B,nand(A,C)),nand(nand(V_3,nand(V_3,
% nand(B,
% nand(A,C)))),V_3))),
% nand(B,nand(A,C)))
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [47]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,nand(C,V_3))),B))),A),
% nand(nand(nand(A,nand(A,nand(nand(B,nand(B,nand(C,V_3))),B))),A),
% nand(nand(C,nand(C,nand(nand(nand(C,V_3),nand(nand(C,V_3),nand(
% nand(B,
% nand(B,
% nand(C,V_3))),B))),
% nand(C,V_3)))),C))),nand(nand(A,nand(A,nand(
% nand(B,
% nand(B,
% nand(C,V_3))),B))),A)),
% nand(nand(nand(C,V_3),nand(nand(C,V_3),nand(nand(B,nand(B,nand(C,V_3))),B))),
% nand(C,V_3))) ->
% nand(nand(C,nand(C,nand(nand(nand(C,V_3),nand(nand(C,V_3),nand(nand(B,
% nand(B,
% nand(C,V_3))),B))),
% nand(C,V_3)))),C)
% Current number of equations to process: 4368
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [48]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,C)),B))),A),nand(
% nand(
% nand(A,
% nand(A,
% nand(
% nand(B,
% nand(B,C)),B))),A),
% nand(
% nand(
% nand(
% nand(V_3,
% nand(V_3,C)),V_3),
% nand(
% nand(
% nand(V_3,
% nand(V_3,C)),V_3),
% nand(
% nand(C,
% nand(C,
% nand(
% nand(B,
% nand(B,C)),B))),C))),
% nand(
% nand(V_3,
% nand(V_3,C)),V_3)))),
% nand(nand(A,nand(A,nand(nand(B,nand(B,C)),B))),A)),nand(nand(C,nand(C,
% nand(
% nand(B,
% nand(B,C)),B))),C))
% ->
% nand(nand(nand(nand(V_3,nand(V_3,C)),V_3),nand(nand(nand(V_3,nand(V_3,C)),V_3),
% nand(nand(C,nand(C,nand(nand(B,
% nand(B,C)),B))),C))),
% nand(nand(V_3,nand(V_3,C)),V_3))
% Current number of equations to process: 4578
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [49]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),
% nand(nand(B,nand(B,A)),B)),nand(nand(A,nand(A,nand(
% nand(B,
% nand(B,A)),B))),A)),A),
% nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),nand(
% nand(B,
% nand(B,A)),B)),
% nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A))),nand(nand(A,
% nand(nand(
% nand(A,
% nand(A,
% nand(
% nand(B,
% nand(B,A)),B))),A),C)),
% nand(nand(nand(B,
% nand(B,A)),B),
% nand(A,V_3)))) ->
% nand(A,nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),C))
% Current number of equations to process: 4794
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [50]
% nand(nand(nand(A,nand(A,nand(nand(nand(nand(B,nand(B,nand(nand(A,nand(C,V_3)),A))),B),
% nand(nand(nand(B,nand(B,nand(nand(A,nand(C,V_3)),A))),B),
% nand(nand(nand(nand(C,nand(C,A)),C),A),nand(
% nand(C,
% nand(C,A)),C)))),
% nand(nand(B,nand(B,nand(nand(A,nand(C,V_3)),A))),B)))),A),
% nand(nand(nand(nand(C,nand(C,A)),C),A),nand(nand(C,nand(C,A)),C))) ->
% nand(nand(nand(nand(B,nand(B,nand(nand(A,nand(C,V_3)),A))),B),nand(nand(
% nand(B,
% nand(B,
% nand(
% nand(A,
% nand(C,V_3)),A))),B),
% nand(nand(
% nand(
% nand(C,
% nand(C,A)),C),A),
% nand(nand(C,
% nand(C,A)),C)))),
% nand(nand(B,nand(B,nand(nand(A,nand(C,V_3)),A))),B))
% Current number of equations to process: 4967
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [51]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),
% nand(nand(B,nand(B,A)),B)),nand(nand(A,nand(A,nand(
% nand(B,
% nand(B,A)),B))),A)),
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),
% nand(nand(B,nand(B,A)),B)),nand(nand(A,nand(A,nand(
% nand(B,
% nand(B,A)),B))),A)),C)),
% nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),nand(
% nand(B,
% nand(B,A)),B)),
% nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A))),nand(C,A)) -> C
% Current number of equations to process: 2238
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [52]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(nand(A,B),nand(nand(A,B),
% nand(nand(C,nand(C,
% nand(A,B))),C))),
% nand(A,B)))),A),nand(nand(nand(A,B),
% nand(nand(A,B),
% nand(nand(C,nand(C,
% nand(A,B))),C))),
% nand(A,B))),nand(nand(A,
% nand(A,
% nand(
% nand(
% nand(A,B),
% nand(
% nand(A,B),
% nand(
% nand(C,
% nand(C,
% nand(A,B))),C))),
% nand(A,B)))),A)),
% nand(nand(nand(C,nand(C,nand(A,B))),C),nand(nand(nand(A,B),nand(nand(A,B),
% nand(nand(C,
% nand(C,
% nand(A,B))),C))),
% nand(A,B)))) ->
% nand(nand(C,nand(C,nand(A,B))),C)
% Current number of equations to process: 2444
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [53]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,B)),A),nand(nand(nand(A,nand(A,B)),A),
% nand(nand(B,nand(B,
% nand(nand(C,
% nand(C,B)),C))),B))),
% nand(nand(A,nand(A,B)),A)),nand(nand(B,nand(B,nand(nand(C,
% nand(C,B)),C))),B)),
% nand(nand(nand(nand(A,nand(A,B)),A),nand(nand(nand(A,nand(A,B)),A),
% nand(nand(B,nand(B,nand(nand(C,
% nand(C,B)),C))),B))),
% nand(nand(A,nand(A,B)),A))),nand(nand(nand(C,nand(C,B)),C),nand(
% nand(B,
% nand(B,
% nand(
% nand(C,
% nand(C,B)),C))),B)))
% -> nand(nand(C,nand(C,B)),C)
% Current number of equations to process: 2647
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [54]
% nand(nand(nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,nand(B,A)),B))),A),
% nand(nand(B,nand(B,A)),B)),nand(nand(A,nand(A,nand(
% nand(B,
% nand(B,A)),B))),A)),
% nand(nand(nand(B,nand(B,A)),B),nand(A,C))),nand(nand(nand(nand(A,
% nand(A,
% nand(
% nand(B,
% nand(B,A)),B))),A),
% nand(nand(B,
% nand(B,A)),B)),
% nand(nand(A,nand(A,
% nand(
% nand(B,
% nand(B,A)),B))),A))),
% nand(nand(nand(nand(nand(B,nand(B,A)),B),nand(A,C)),nand(nand(B,nand(B,A)),B)),A))
% -> nand(nand(nand(nand(B,nand(B,A)),B),nand(A,C)),nand(nand(B,nand(B,A)),B))
% Current number of equations to process: 2858
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [55]
% nand(nand(nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(B,C)),nand(
% nand(
% nand(
% nand(B,
% nand(B,A)),B),A),
% nand(
% nand(B,
% nand(B,A)),B)))),
% nand(A,nand(B,C))),nand(nand(nand(nand(B,nand(B,A)),B),A),
% nand(nand(B,nand(B,A)),B))),nand(nand(
% nand(A,
% nand(B,C)),
% nand(
% nand(A,
% nand(B,C)),
% nand(
% nand(
% nand(
% nand(B,
% nand(B,A)),B),A),
% nand(
% nand(B,
% nand(B,A)),B)))),
% nand(A,
% nand(B,C)))),
% nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,nand(B,A)),B),A),nand(nand(B,
% nand(B,A)),B))))
% -> nand(A,nand(B,C))
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [56]
% nand(nand(nand(nand(nand(A,nand(A,nand(B,C))),A),nand(nand(nand(A,nand(A,
% nand(B,C))),A),
% nand(nand(nand(nand(B,
% nand(B,
% nand(
% nand(B,C),
% nand(
% nand(B,C),
% nand(B,C))))),B),
% nand(nand(B,C),
% nand(nand(B,C),
% nand(B,C)))),nand(
% nand(B,
% nand(B,
% nand(
% nand(B,C),
% nand(
% nand(B,C),
% nand(B,C))))),B)))),
% nand(nand(A,nand(A,nand(B,C))),A)),nand(nand(nand(B,C),nand(nand(B,C),
% nand(B,C))),
% nand(B,C))) ->
% nand(nand(nand(nand(B,nand(B,nand(nand(B,C),nand(nand(B,C),nand(B,C))))),B),
% nand(nand(B,C),nand(nand(B,C),nand(B,C)))),nand(nand(B,nand(B,nand(
% nand(B,C),
% nand(
% nand(B,C),
% nand(B,C))))),B))
% Current number of equations to process: 3334
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [57]
% nand(nand(nand(nand(nand(A,nand(A,nand(nand(B,C),B))),A),nand(nand(nand(A,
% nand(A,
% nand(
% nand(B,C),B))),A),
% nand(nand(nand(
% nand(
% nand(
% nand(V_3,
% nand(V_3,C)),V_3),
% nand(
% nand(
% nand(V_3,
% nand(V_3,C)),V_3),B)),
% nand(
% nand(V_3,
% nand(V_3,C)),V_3)),B),
% nand(nand(nand(
% nand(V_3,
% nand(V_3,C)),V_3),
% nand(nand(
% nand(V_3,
% nand(V_3,C)),V_3),B)),
% nand(nand(V_3,
% nand(V_3,C)),V_3))))),
% nand(nand(A,nand(A,nand(nand(B,C),B))),A)),nand(B,C)) ->
% nand(nand(nand(nand(nand(nand(V_3,nand(V_3,C)),V_3),nand(nand(nand(V_3,
% nand(V_3,C)),V_3),B)),
% nand(nand(V_3,nand(V_3,C)),V_3)),B),nand(nand(nand(nand(V_3,
% Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------