TSTP Solution File: BOO103-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : BOO103-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n071.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 300.09s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : BOO103-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n071.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 00:49:03 CDT 2014
% % CPUTime  : 300.09 
% Processing problem /tmp/CiME_31777_n071.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b,a : constant;  nand : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% nand(nand(nand(nand(A,B),A),A),nand(B,nand(A,C))) = B;
% ";
% 
% let s1 = status F "
% b lr_lex;
% a lr_lex;
% nand lr_lex;
% ";
% 
% let p1 = precedence F "
% nand > a > b";
% 
% let s2 = status F "
% b mul;
% a mul;
% nand mul;
% ";
% 
% let p2 = precedence F "
% nand > a = b";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " nand(nand(a,a),nand(b,a)) = a;"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { nand(nand(nand(nand(A,B),A),A),nand(B,nand(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(nand(a,a),nand(b,a)) = a }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1] nand(nand(nand(nand(A,B),A),A),nand(B,nand(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(nand(A,nand(nand(nand(B,A),B),B)),A),A),A) ->
% nand(nand(nand(B,A),B),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(nand(nand(A,B),A),A),C),nand(nand(nand(A,B),A),A)),
% nand(nand(nand(A,B),A),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(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)),
% nand(nand(A,nand(B,C)),A)) -> nand(A,nand(B,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(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)),
% nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,A),B),B),V_3))) ->
% nand(A,nand(B,C))
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% nand(nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(B,nand(nand(nand(A,B),A),A)),B),B)),
% nand(nand(nand(B,nand(nand(nand(A,B),A),A)),B),B)),nand(B,nand(nand(
% nand(A,B),A),A)))
% -> B
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% nand(nand(nand(nand(A,nand(nand(nand(nand(A,B),nand(nand(nand(C,nand(A,B)),C),C)),
% nand(A,B)),nand(A,B))),A),A),nand(nand(nand(C,
% nand(A,B)),C),C))
% ->
% nand(nand(nand(nand(A,B),nand(nand(nand(C,nand(A,B)),C),C)),nand(A,B)),
% nand(A,B))
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% nand(nand(nand(nand(nand(nand(nand(A,nand(B,nand(C,V_3))),A),A),nand(
% nand(
% nand(C,B),C),C)),
% nand(nand(nand(A,nand(B,nand(C,V_3))),A),A)),nand(nand(nand(A,
% nand(B,
% nand(C,V_3))),A),A)),B)
% -> nand(nand(nand(C,B),C),C)
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% nand(nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),nand(A,
% nand(B,C))),
% nand(A,nand(B,C))),nand(A,nand(B,C))) ->
% nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B))
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% nand(nand(nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(B,nand(nand(
% nand(C,B),C),C)),B),B)),
% nand(nand(nand(A,B),A),A)),nand(nand(nand(A,B),A),A)),nand(
% nand(
% nand(C,B),C),C))
% -> nand(nand(nand(B,nand(nand(nand(C,B),C),C)),B),B)
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11]
% nand(nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(B,nand(nand(nand(A,B),A),A)),B),B)),
% nand(nand(nand(B,nand(nand(nand(A,B),A),A)),B),B)),nand(B,nand(nand(
% nand(
% nand(B,
% nand(
% nand(
% nand(A,B),A),A)),B),B),C)))
% -> B
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% nand(nand(nand(nand(A,nand(nand(nand(nand(nand(B,A),B),B),nand(nand(nand(A,
% nand(
% nand(
% nand(B,A),B),B)),A),A)),
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A))),A),A),A)
% ->
% nand(nand(nand(nand(nand(B,A),B),B),nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A)),
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A))
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% nand(nand(nand(A,nand(nand(nand(nand(nand(nand(B,C),B),B),A),nand(nand(
% nand(B,C),B),B)),
% nand(nand(nand(B,C),B),B))),nand(nand(nand(nand(nand(
% nand(B,C),B),B),A),
% nand(nand(nand(B,C),B),B)),
% nand(nand(nand(B,C),B),B))),
% nand(nand(A,C),A)) -> nand(A,C)
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14]
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),nand(nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(nand(
% nand(B,A),B),B))),
% nand(nand(nand(A,nand(B,C)),A),nand(A,nand(B,C)))) ->
% nand(nand(A,nand(B,C)),A)
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% nand(nand(nand(nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(
% nand(B,A),B),B)),C),
% nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B))),
% nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B))),
% nand(C,nand(A,nand(B,V_3)))) -> C
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),nand(nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(nand(
% nand(B,A),B),B))),
% nand(nand(nand(A,nand(B,C)),A),nand(A,nand(B,V_3)))) ->
% nand(nand(A,nand(B,C)),A)
% Rule
% [14]
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),nand(nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(nand(
% nand(B,A),B),B))),
% nand(nand(nand(A,nand(B,C)),A),nand(A,nand(B,C)))) ->
% nand(nand(A,nand(B,C)),A) collapsed.
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [17]
% nand(nand(nand(nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(
% nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),
% nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B))),A) ->
% nand(nand(nand(B,A),B),B)
% Current number of equations to process: 500
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [18]
% nand(nand(nand(nand(nand(nand(nand(A,nand(B,C)),A),A),nand(nand(nand(
% nand(
% nand(
% nand(V_3,C),V_3),V_3),B),
% nand(nand(
% nand(V_3,C),V_3),V_3)),
% nand(nand(nand(V_3,C),V_3),V_3))),
% nand(nand(nand(A,nand(B,C)),A),A)),nand(nand(nand(A,nand(B,C)),A),A)),B)
% ->
% nand(nand(nand(nand(nand(nand(V_3,C),V_3),V_3),B),nand(nand(nand(V_3,C),V_3),V_3)),
% nand(nand(nand(V_3,C),V_3),V_3))
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [19]
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),nand(nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(nand(
% nand(B,A),B),B))),
% nand(nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,A),B),B),V_3)),nand(A,
% nand(B,C))))
% -> nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,A),B),B),V_3))
% Current number of equations to process: 640
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [20]
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),nand(nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(nand(
% nand(B,A),B),B))),
% nand(nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,A),B),B),V_3)),nand(A,
% nand(B,V_4))))
% -> nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,A),B),B),V_3))
% Rule
% [19]
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),nand(nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(nand(
% nand(B,A),B),B))),
% nand(nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,A),B),B),V_3)),nand(A,
% nand(B,C))))
% -> nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,A),B),B),V_3)) collapsed.
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [21]
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),nand(nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(nand(
% nand(B,A),B),B))),
% nand(nand(nand(A,nand(B,C)),A),nand(nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B)),V_3))) ->
% nand(nand(A,nand(B,C)),A)
% Current number of equations to process: 824
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [22]
% nand(nand(nand(nand(nand(nand(nand(A,nand(nand(B,nand(C,V_3)),B)),A),A),
% nand(nand(B,nand(nand(nand(C,B),C),C)),nand(nand(nand(C,B),C),C))),
% nand(nand(nand(A,nand(nand(B,nand(C,V_3)),B)),A),A)),nand(nand(
% nand(A,
% nand(
% nand(B,
% nand(C,V_3)),B)),A),A)),
% nand(B,nand(C,V_3))) ->
% nand(nand(B,nand(nand(nand(C,B),C),C)),nand(nand(nand(C,B),C),C))
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [23]
% nand(nand(nand(nand(A,nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(
% nand(
% nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),
% nand(A,nand(B,C))),nand(A,nand(B,C)))),A),A),
% nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B))) ->
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),nand(A,nand(B,C))),
% nand(A,nand(B,C)))
% Current number of equations to process: 1004
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [24]
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),nand(nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(nand(
% nand(B,A),B),B))),
% nand(nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,A),B),B),V_3)),nand(
% nand(
% nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(
% nand(
% nand(B,A),B),B)),V_4)))
% -> nand(nand(A,nand(B,C)),nand(nand(nand(nand(B,A),B),B),V_3))
% Current number of equations to process: 1105
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [25]
% nand(nand(nand(A,nand(nand(nand(nand(nand(nand(B,C),B),B),A),nand(nand(
% nand(B,C),B),B)),
% nand(nand(nand(B,C),B),B))),nand(nand(nand(nand(nand(
% nand(B,C),B),B),A),
% nand(nand(nand(B,C),B),B)),
% nand(nand(nand(B,C),B),B))),
% nand(nand(A,C),nand(nand(nand(nand(nand(nand(nand(B,C),B),B),A),nand(
% nand(
% nand(B,C),B),B)),
% nand(nand(nand(B,C),B),B)),V_3))) -> nand(A,C)
% Current number of equations to process: 1190
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [26]
% nand(nand(nand(nand(nand(nand(A,nand(B,C)),A),nand(nand(nand(B,nand(nand(
% nand(
% nand(B,C),
% nand(
% nand(
% nand(A,
% nand(B,C)),A),A)),
% nand(B,C)),
% nand(B,C))),B),B)),
% nand(nand(A,nand(B,C)),A)),nand(nand(A,nand(B,C)),A)),nand(
% nand(
% nand(
% nand(B,C),
% nand(
% nand(
% nand(A,
% nand(B,C)),A),A)),
% nand(B,C)),
% nand(B,C)))
% ->
% nand(nand(nand(B,nand(nand(nand(nand(B,C),nand(nand(nand(A,nand(B,C)),A),A)),
% nand(B,C)),nand(B,C))),B),B)
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [27]
% nand(nand(nand(nand(nand(nand(A,B),A),nand(nand(nand(nand(nand(nand(C,B),C),C),
% nand(nand(nand(B,nand(
% nand(
% nand(A,B),A),A)),B),B)),
% nand(nand(nand(C,B),C),C)),
% nand(nand(nand(C,B),C),C))),nand(
% nand(A,B),A)),
% nand(nand(A,B),A)),nand(nand(nand(B,nand(nand(nand(A,B),A),A)),B),B)) ->
% nand(nand(nand(nand(nand(nand(C,B),C),C),nand(nand(nand(B,nand(nand(nand(A,B),A),A)),B),B)),
% nand(nand(nand(C,B),C),C)),nand(nand(nand(C,B),C),C))
% Current number of equations to process: 1368
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [28]
% nand(nand(nand(A,nand(nand(nand(nand(nand(B,A),B),B),nand(nand(nand(A,
% nand(nand(
% nand(B,A),B),B)),A),A)),
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A))),
% nand(nand(nand(nand(nand(B,A),B),B),nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A)),
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A))),nand(nand(A,
% nand(nand(
% nand(B,A),B),B)),A))
% -> nand(A,nand(nand(nand(B,A),B),B))
% Current number of equations to process: 1470
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [29]
% nand(nand(nand(nand(A,nand(nand(nand(nand(nand(nand(B,nand(nand(A,C),
% nand(V_3,V_4))),B),B),
% nand(nand(nand(V_3,nand(A,C)),V_3),V_3)),
% nand(nand(nand(B,nand(nand(A,C),nand(V_3,V_4))),B),B)),
% nand(nand(nand(B,nand(nand(A,C),nand(V_3,V_4))),B),B))),A),A),
% nand(nand(nand(V_3,nand(A,C)),V_3),V_3)) ->
% nand(nand(nand(nand(nand(nand(B,nand(nand(A,C),nand(V_3,V_4))),B),B),
% nand(nand(nand(V_3,nand(A,C)),V_3),V_3)),nand(nand(nand(B,nand(
% nand(A,C),
% nand(V_3,V_4))),B),B)),
% nand(nand(nand(B,nand(nand(A,C),nand(V_3,V_4))),B),B))
% Current number of equations to process: 1555
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [30]
% nand(nand(nand(nand(nand(nand(A,nand(B,C)),A),nand(nand(nand(A,nand(B,C)),
% nand(nand(A,nand(nand(
% nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),
% nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B)))),
% nand(nand(A,nand(B,C)),A)),nand(nand(A,nand(B,C)),A)),nand(
% nand(A,
% nand(B,C)),A))
% ->
% nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),nand(
% nand(
% nand(B,A),B),B))),
% nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)))
% Current number of equations to process: 1718
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [31]
% nand(nand(nand(nand(nand(A,B),nand(nand(A,nand(nand(nand(nand(nand(nand(C,B),C),C),A),
% nand(nand(nand(C,B),C),C)),
% nand(nand(nand(C,B),C),C))),
% nand(nand(nand(nand(nand(nand(C,B),C),C),A),
% nand(nand(nand(C,B),C),C)),nand(nand(
% nand(C,B),C),C)))),
% nand(A,B)),nand(A,B)),nand(A,B)) ->
% nand(nand(A,nand(nand(nand(nand(nand(nand(C,B),C),C),A),nand(nand(nand(C,B),C),C)),
% nand(nand(nand(C,B),C),C))),nand(nand(nand(nand(nand(nand(C,B),C),C),A),
% nand(nand(nand(C,B),C),C)),
% nand(nand(nand(C,B),C),C)))
% Current number of equations to process: 1853
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [32]
% nand(nand(nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(nand(nand(
% nand(C,
% nand(B,
% nand(V_3,V_4))),C),C),
% nand(nand(nand(V_3,B),V_3),V_3)),
% nand(nand(nand(C,nand(B,
% nand(V_3,V_4))),C),C)),
% nand(nand(nand(C,nand(B,
% nand(V_3,V_4))),C),C))),
% nand(nand(nand(A,B),A),A)),nand(nand(nand(A,B),A),A)),nand(
% nand(
% nand(V_3,B),V_3),V_3))
% ->
% nand(nand(nand(nand(nand(nand(C,nand(B,nand(V_3,V_4))),C),C),nand(nand(
% nand(V_3,B),V_3),V_3)),
% nand(nand(nand(C,nand(B,nand(V_3,V_4))),C),C)),nand(nand(nand(C,
% nand(B,
% nand(V_3,V_4))),C),C))
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [33]
% nand(nand(nand(nand(nand(nand(nand(A,nand(nand(B,nand(C,V_3)),nand(nand(
% nand(
% nand(C,B),C),C),V_4))),A),A),
% nand(nand(B,nand(nand(nand(C,B),C),C)),nand(nand(nand(C,B),C),C))),
% nand(nand(nand(A,nand(nand(B,nand(C,V_3)),nand(nand(nand(nand(C,B),C),C),V_4))),A),A)),
% nand(nand(nand(A,nand(nand(B,nand(C,V_3)),nand(nand(nand(nand(C,B),C),C),V_4))),A),A)),
% nand(B,nand(C,V_3))) ->
% nand(nand(B,nand(nand(nand(C,B),C),C)),nand(nand(nand(C,B),C),C))
% Current number of equations to process: 2165
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [34]
% nand(nand(nand(A,nand(nand(nand(nand(nand(B,A),B),B),nand(nand(nand(A,
% nand(nand(
% nand(B,A),B),B)),A),A)),
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A))),
% nand(nand(nand(nand(nand(B,A),B),B),nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A)),
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A))),nand(nand(A,
% nand(nand(
% nand(B,A),B),B)),
% nand(nand(nand(
% nand(B,A),B),B),
% nand(A,C)))) ->
% nand(A,nand(nand(nand(B,A),B),B))
% Current number of equations to process: 2320
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [35]
% nand(nand(nand(A,nand(nand(nand(nand(nand(B,A),B),B),nand(nand(nand(A,
% nand(nand(
% nand(B,A),B),B)),A),A)),
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A))),
% nand(nand(nand(nand(nand(B,A),B),B),nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A)),
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A))),nand(nand(A,
% nand(nand(
% nand(
% nand(A,
% nand(
% nand(
% nand(B,A),B),B)),A),A),C)),A))
% -> nand(A,nand(nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A),C))
% Current number of equations to process: 2429
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [36]
% nand(nand(nand(nand(nand(nand(nand(A,nand(B,nand(nand(nand(C,B),C),C))),A),A),
% nand(nand(nand(nand(nand(C,B),C),C),nand(nand(nand(B,nand(
% nand(
% nand(C,B),C),C)),B),B)),
% nand(nand(nand(B,nand(nand(nand(C,B),C),C)),B),B))),nand(
% nand(
% nand(A,
% nand(B,
% nand(
% nand(
% nand(C,B),C),C))),A),A)),
% nand(nand(nand(A,nand(B,nand(nand(nand(C,B),C),C))),A),A)),B) ->
% nand(nand(nand(nand(nand(C,B),C),C),nand(nand(nand(B,nand(nand(nand(C,B),C),C)),B),B)),
% nand(nand(nand(B,nand(nand(nand(C,B),C),C)),B),B))
% Current number of equations to process: 2540
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [37]
% nand(nand(nand(nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(
% nand(B,A),B),B)),
% nand(nand(nand(nand(nand(nand(C,nand(B,V_3)),C),C),A),
% nand(nand(nand(C,nand(B,V_3)),C),C)),nand(nand(nand(C,
% nand(B,V_3)),C),C))),
% nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B))),
% nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B))),A) ->
% nand(nand(nand(nand(nand(nand(C,nand(B,V_3)),C),C),A),nand(nand(nand(C,
% nand(B,V_3)),C),C)),
% nand(nand(nand(C,nand(B,V_3)),C),C))
% Current number of equations to process: 2669
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [38]
% nand(nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(nand(nand(nand(C,
% nand(B,
% nand(A,V_3))),C),C),
% nand(nand(nand(A,B),A),A)),
% nand(nand(nand(C,nand(B,
% nand(A,V_3))),C),C)),
% nand(nand(nand(C,nand(B,nand(A,V_3))),C),C))),
% nand(nand(nand(nand(nand(nand(C,nand(B,nand(A,V_3))),C),C),nand(
% nand(
% nand(A,B),A),A)),
% nand(nand(nand(C,nand(B,nand(A,V_3))),C),C)),nand(nand(nand(C,
% nand(B,
% nand(A,V_3))),C),C))),
% nand(B,nand(nand(nand(A,B),A),A))) -> B
% Current number of equations to process: 2864
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [39]
% nand(nand(nand(nand(nand(nand(nand(A,nand(B,nand(C,V_3))),A),A),nand(
% nand(
% nand(
% nand(B,
% nand(C,V_3)),
% nand(
% nand(B,
% nand(
% nand(
% nand(C,B),C),C)),
% nand(
% nand(
% nand(C,B),C),C))),
% nand(B,
% nand(C,V_3))),
% nand(B,
% nand(C,V_3)))),
% nand(nand(nand(A,nand(B,nand(C,V_3))),A),A)),nand(nand(nand(A,
% nand(B,
% nand(C,V_3))),A),A)),
% nand(nand(B,nand(nand(nand(C,B),C),C)),nand(nand(nand(C,B),C),C))) ->
% nand(nand(nand(nand(B,nand(C,V_3)),nand(nand(B,nand(nand(nand(C,B),C),C)),
% nand(nand(nand(C,B),C),C))),nand(B,
% nand(C,V_3))),
% nand(B,nand(C,V_3)))
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [40]
% nand(nand(nand(nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(
% nand(B,A),B),B)),
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(nand(V_3,nand(A,
% nand(B,C))),V_3),V_3)),
% nand(A,nand(B,C))),nand(A,nand(B,C)))),nand(nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(nand(
% nand(B,A),B),B))),
% nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B))),
% nand(nand(nand(V_3,nand(A,nand(B,C))),V_3),V_3)) ->
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(nand(V_3,nand(A,nand(B,C))),V_3),V_3)),
% nand(A,nand(B,C))),nand(A,nand(B,C)))
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [41]
% nand(nand(nand(nand(nand(nand(nand(A,nand(nand(nand(B,nand(C,V_3)),B),B)),A),A),
% nand(nand(nand(C,nand(nand(nand(nand(C,V_3),nand(nand(
% nand(B,
% nand(C,V_3)),B),B)),
% nand(C,V_3)),nand(C,V_3))),C),C)),
% nand(nand(nand(A,nand(nand(nand(B,nand(C,V_3)),B),B)),A),A)),
% nand(nand(nand(A,nand(nand(nand(B,nand(C,V_3)),B),B)),A),A)),nand(
% nand(
% nand(
% nand(C,V_3),
% nand(
% nand(
% nand(B,
% nand(C,V_3)),B),B)),
% nand(C,V_3)),
% nand(C,V_3)))
% ->
% nand(nand(nand(C,nand(nand(nand(nand(C,V_3),nand(nand(nand(B,nand(C,V_3)),B),B)),
% nand(C,V_3)),nand(C,V_3))),C),C)
% Current number of equations to process: 3520
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [42]
% nand(nand(nand(nand(nand(nand(nand(A,nand(nand(nand(B,C),B),B)),A),A),
% nand(nand(nand(nand(nand(nand(V_3,C),V_3),V_3),nand(nand(
% nand(C,
% nand(
% nand(
% nand(B,C),B),B)),C),C)),
% nand(nand(nand(V_3,C),V_3),V_3)),nand(nand(nand(V_3,C),V_3),V_3))),
% nand(nand(nand(A,nand(nand(nand(B,C),B),B)),A),A)),nand(nand(
% nand(A,
% nand(
% nand(
% nand(B,C),B),B)),A),A)),
% nand(nand(nand(C,nand(nand(nand(B,C),B),B)),C),C)) ->
% nand(nand(nand(nand(nand(nand(V_3,C),V_3),V_3),nand(nand(nand(C,nand(
% nand(
% nand(B,C),B),B)),C),C)),
% nand(nand(nand(V_3,C),V_3),V_3)),nand(nand(nand(V_3,C),V_3),V_3))
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [43]
% nand(nand(nand(A,nand(nand(nand(nand(nand(B,A),B),B),nand(nand(nand(A,
% nand(nand(
% nand(B,A),B),B)),A),A)),
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A))),
% nand(nand(nand(nand(nand(B,A),B),B),nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A)),
% nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A))),nand(nand(A,
% nand(nand(
% nand(
% nand(A,
% nand(
% nand(
% nand(B,A),B),B)),A),A),C)),
% nand(nand(nand(
% nand(B,A),B),B),
% nand(A,V_3)))) ->
% nand(A,nand(nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A),C))
% Current number of equations to process: 3897
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [44]
% nand(nand(nand(nand(A,nand(nand(nand(nand(nand(nand(B,nand(nand(A,nand(C,V_3)),A)),B),B),
% nand(nand(A,nand(nand(nand(C,A),C),C)),
% nand(nand(nand(C,A),C),C))),nand(nand(
% nand(B,
% nand(
% nand(A,
% nand(C,V_3)),A)),B),B)),
% nand(nand(nand(B,nand(nand(A,nand(C,V_3)),A)),B),B))),A),A),
% nand(nand(A,nand(nand(nand(C,A),C),C)),nand(nand(nand(C,A),C),C))) ->
% nand(nand(nand(nand(nand(nand(B,nand(nand(A,nand(C,V_3)),A)),B),B),nand(
% nand(A,
% nand(
% nand(
% nand(C,A),C),C)),
% nand(
% nand(
% nand(C,A),C),C))),
% nand(nand(nand(B,nand(nand(A,nand(C,V_3)),A)),B),B)),nand(nand(nand(B,
% nand(
% nand(A,
% nand(C,V_3)),A)),B),B))
% Current number of equations to process: 4051
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [45]
% nand(nand(nand(nand(nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(B,
% nand(
% nand(
% nand(A,B),A),A)),B),B)),
% nand(nand(nand(B,nand(nand(nand(A,B),A),A)),B),B)),C),
% nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(B,nand(nand(
% nand(A,B),A),A)),B),B)),
% nand(nand(nand(B,nand(nand(nand(A,B),A),A)),B),B))),nand(nand(
% nand(
% nand(
% nand(A,B),A),A),
% nand(
% nand(
% nand(B,
% nand(
% nand(
% nand(A,B),A),A)),B),B)),
% nand(nand(
% nand(B,
% nand(
% nand(
% nand(A,B),A),A)),B),B))),
% nand(C,B)) -> C
% Current number of equations to process: 4288
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [46]
% nand(nand(nand(nand(nand(nand(nand(A,B),nand(nand(nand(C,nand(A,B)),C),C)),
% nand(A,B)),nand(A,B)),nand(nand(nand(A,nand(nand(
% nand(
% nand(A,B),
% nand(
% nand(
% nand(C,
% nand(A,B)),C),C)),
% nand(A,B)),
% nand(A,B))),A),A)),
% nand(nand(nand(A,nand(nand(nand(nand(A,B),nand(nand(nand(C,nand(A,B)),C),C)),
% nand(A,B)),nand(A,B))),A),A)),nand(nand(nand(
% nand(C,
% nand(A,B)),C),C),
% nand(nand(nand(
% nand(A,B),
% nand(
% nand(
% nand(C,
% nand(A,B)),C),C)),
% nand(A,B)),
% nand(A,B)))) ->
% nand(nand(nand(C,nand(A,B)),C),C)
% Current number of equations to process: 4473
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [47]
% nand(nand(nand(nand(nand(nand(A,nand(nand(nand(B,A),B),B)),A),A),nand(
% nand(
% nand(
% nand(
% nand(
% nand(C,A),C),C),
% nand(
% nand(
% nand(A,
% nand(
% nand(
% nand(B,A),B),B)),A),A)),
% nand(
% nand(
% nand(C,A),C),C)),
% nand(
% nand(
% nand(C,A),C),C))),
% nand(nand(nand(nand(nand(nand(C,A),C),C),nand(nand(nand(A,nand(nand(
% nand(B,A),B),B)),A),A)),
% nand(nand(nand(C,A),C),C)),nand(nand(nand(C,A),C),C))),nand(
% nand(
% nand(
% nand(B,A),B),B),
% nand(
% nand(
% nand(A,
% nand(
% nand(
% nand(B,A),B),B)),A),A)))
% -> nand(nand(nand(B,A),B),B)
% Current number of equations to process: 4659
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [48]
% nand(nand(nand(nand(nand(nand(nand(A,B),A),A),nand(B,C)),nand(nand(nand(
% nand(
% nand(A,B),A),A),
% nand(nand(
% nand(B,
% nand(
% nand(
% nand(A,B),A),A)),B),B)),
% nand(nand(nand(B,
% nand(
% nand(
% nand(A,B),A),A)),B),B))),
% nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(B,nand(nand(nand(A,B),A),A)),B),B)),
% nand(nand(nand(B,nand(nand(nand(A,B),A),A)),B),B))),nand(nand(nand(
% nand(
% nand(
% nand(A,B),A),A),
% nand(B,C)),
% nand(nand(
% nand(A,B),A),A)),B))
% -> nand(nand(nand(nand(nand(A,B),A),A),nand(B,C)),nand(nand(nand(A,B),A),A))
% Current number of equations to process: 4847
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [49]
% nand(nand(nand(nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(nand(B,A),B),B)),
% nand(nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),
% nand(A,nand(B,C))),nand(A,nand(B,C)))),nand(nand(nand(
% nand(A,
% nand(B,C)),
% nand(
% nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(
% nand(
% nand(B,A),B),B))),
% nand(A,nand(B,C))),
% nand(A,nand(B,C)))),
% nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),nand(nand(
% nand(B,A),B),B))))
% -> nand(A,nand(B,C))
% Current number of equations to process: 2894
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [50]
% nand(nand(nand(nand(nand(nand(nand(A,nand(nand(B,C),B)),A),A),nand(nand(B,
% nand(
% nand(
% nand(
% nand(
% nand(
% nand(V_3,C),V_3),V_3),B),
% nand(
% nand(
% nand(V_3,C),V_3),V_3)),
% nand(
% nand(
% nand(V_3,C),V_3),V_3))),
% nand(nand(
% nand(
% nand(
% nand(
% nand(V_3,C),V_3),V_3),B),
% nand(
% nand(
% nand(V_3,C),V_3),V_3)),
% nand(nand(
% nand(V_3,C),V_3),V_3)))),
% nand(nand(nand(A,nand(nand(B,C),B)),A),A)),nand(nand(nand(A,
% nand(nand(B,C),B)),A),A)),
% nand(B,C)) ->
% nand(nand(B,nand(nand(nand(nand(nand(nand(V_3,C),V_3),V_3),B),nand(nand(
% nand(V_3,C),V_3),V_3)),
% nand(nand(nand(V_3,C),V_3),V_3))),nand(nand(nand(nand(nand(
% nand(V_3,C),V_3),V_3),B),
% nand(nand(nand(V_3,C),V_3),V_3)),
% nand(nand(nand(V_3,C),V_3),V_3)))
% Current number of equations to process: 3132
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [51]
% nand(nand(nand(nand(nand(nand(nand(A,B),nand(nand(nand(C,nand(A,B)),C),C)),
% nand(A,B)),nand(A,B)),nand(nand(nand(A,nand(nand(
% nand(
% nand(A,B),
% nand(
% nand(
% nand(C,
% nand(A,B)),C),C)),
% nand(A,B)),
% nand(A,B))),A),A)),
% nand(nand(nand(A,nand(nand(nand(nand(A,B),nand(nand(nand(C,nand(A,B)),C),C)),
% nand(A,B)),nand(A,B))),A),A)),nand(nand(nand(
% nand(C,
% nand(A,B)),C),C),
% nand(nand(nand(
% nand(A,
% nand(
% nand(
% nand(
% nand(A,B),
% nand(
% nand(
% nand(C,
% nand(A,B)),C),C)),
% nand(A,B)),
% nand(A,B))),A),A),V_3)))
% -> nand(nand(nand(C,nand(A,B)),C),C)
% Current number of equations to process: 3390
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [52]
% nand(nand(nand(nand(nand(nand(nand(A,B),A),A),nand(nand(nand(B,nand(nand(
% nand(
% nand(
% nand(C,B),C),C),
% nand(
% nand(
% nand(B,
% nand(
% nand(
% nand(C,B),C),C)),B),B)),
% nand(nand(
% nand(B,
% nand(
% nand(
% nand(C,B),C),C)),B),B))),B),B)),
% nand(nand(nand(A,B),A),A)),nand(nand(nand(A,B),A),A)),nand(
% nand(
% nand(
% nand(
% nand(C,B),C),C),
% nand(
% nand(
% nand(B,
% nand(
% nand(
% nand(C,B),C),C)),B),B)),
% nand(
% nand(
% nand(B,
% nand(
% nand(
% nand(C,B),C),C)),B),B)))
% ->
% nand(nand(nand(B,nand(nand(nand(nand(nand(C,B),C),C),nand(nand(nand(B,
% nand(nand(
% nand(C,B),C),C)),B),B)),
% nand(nand(nand(B,nand(nand(nand(C,B),C),C)),B),B))),B),B)
% Current number of equations to process: 3574
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [53]
% nand(nand(nand(nand(A,B),nand(nand(A,nand(nand(nand(nand(nand(nand(C,B),C),C),A),
% nand(nand(nand(C,B),C),C)),
% nand(nand(nand(C,B),C),C))),nand(
% nand(
% nand(
% nand(
% nand(
% nand(C,B),C),C),A),
% nand(
% nand(
% nand(C,B),C),C)),
% nand(
% nand(
% nand(C,B),C),C)))),
% nand(nand(A,nand(nand(nand(nand(nand(nand(C,B),C),C),A),nand(nand(
% nand(C,B),C),C)),
% nand(nand(nand(C,B),C),C))),nand(nand(nand(nand(nand(
% nand(C,B),C),C),A),
% nand(nand(nand(C,B),C),C)),
% nand(nand(nand(C,B),C),C)))),
% nand(nand(nand(A,B),A),nand(A,B))) -> nand(nand(A,B),A)
% Current number of equations to process: 3787
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [54]
% nand(nand(nand(nand(nand(A,nand(B,C)),A),nand(nand(nand(A,nand(B,C)),
% nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),
% nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B)))),
% nand(nand(nand(A,nand(B,C)),nand(nand(A,nand(nand(nand(B,A),B),B)),
% nand(nand(nand(B,A),B),B))),nand(nand(A,
% nand(
% nand(
% nand(B,A),B),B)),
% nand(nand(
% nand(B,A),B),B)))),
% nand(nand(nand(nand(A,nand(B,C)),A),nand(A,nand(B,C))),nand(nand(A,nand(B,C)),A)))
% -> nand(nand(nand(A,nand(B,C)),Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------