%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : BOO075-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Jul 26 06:57:54 EDT 2022

% Result   : Unsatisfiable 2.26s 2.44s
% Output   : CNFRefutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   26 (  26 unt;   0 nHn;   3 RR)
%            Number of literals    :   26 (  25 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   43 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = nand(nand(B,nand(nand(A,B),B)),nand(A,nand(C,B))),
    file('/tmp/MaedMax_27614') ).

cnf(eq_1,negated_conjecture,
    nand(nand(a,a),nand(b,a)) != a,
    file('/tmp/MaedMax_27614') ).

cnf(eq_2,plain,
    nand(nand(nand(A,nand(C,B)),nand(A,nand(A,nand(C,B)))),nand(nand(B,nand(nand(A,B),B)),nand(x102,nand(A,nand(C,B))))) = nand(B,nand(nand(A,B),B)),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_3,plain,
    nand(nand(nand(C,B),nand(nand(nand(B,nand(nand(A,B),B)),nand(C,B)),nand(C,B))),A) = nand(B,nand(nand(A,B),B)),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_4,plain,
    nand(A,nand(nand(B,A),A)) = nand(nand(nand(C,A),nand(nand(nand(A,nand(nand(B,A),A)),nand(C,A)),nand(C,A))),B),
    eq_3 ).

cnf(eq_5,plain,
    nand(A,nand(nand(B,A),A)) = nand(nand(nand(B,nand(C,A)),nand(B,nand(B,nand(C,A)))),nand(nand(A,nand(nand(B,A),A)),nand(x3,nand(B,nand(C,A))))),
    eq_2 ).

cnf(eq_6,plain,
    nand(nand(B,nand(nand(x101,B),B)),nand(x101,nand(A,nand(nand(B,A),A)))) = x101,
    inference(cp,[status(thm)],[eq_4,eq_0]) ).

cnf(eq_7,plain,
    A = nand(nand(B,nand(nand(A,B),B)),nand(A,nand(C,nand(nand(B,C),C)))),
    eq_6 ).

cnf(eq_8,plain,
    nand(nand(x100,nand(nand(nand(B,nand(nand(B,B),B)),x100),x100)),B) = nand(B,nand(nand(B,B),B)),
    inference(cp,[status(thm)],[eq_0,eq_7]) ).

cnf(eq_9,plain,
    nand(nand(nand(C,nand(nand(C,C),C)),nand(C,nand(C,nand(nand(C,C),C)))),C) = nand(C,nand(nand(C,C),C)),
    inference(cp,[status(thm)],[eq_7,eq_5]) ).

cnf(eq_10,plain,
    nand(A,nand(nand(A,A),A)) = nand(nand(B,nand(nand(nand(A,nand(nand(A,A),A)),B),B)),A),
    eq_8 ).

cnf(eq_11,plain,
    nand(A,A) = nand(A,nand(nand(A,A),A)),
    inference(rw,[status(thm)],[eq_9,eq_7]) ).

cnf(eq_12,plain,
    nand(nand(A,A),nand(A,nand(x102,A))) = A,
    inference(cp,[status(thm)],[eq_11,eq_0]) ).

cnf(eq_13,plain,
    nand(nand(A,nand(nand(A,A),A)),nand(A,A)) = A,
    inference(cp,[status(thm)],[eq_11,eq_0]) ).

cnf(eq_14,plain,
    nand(nand(x100,nand(nand(nand(A,A),x100),x100)),A) = nand(A,nand(nand(A,A),A)),
    inference(cp,[status(thm)],[eq_11,eq_10]) ).

cnf(eq_15,plain,
    A = nand(nand(A,nand(nand(A,A),A)),nand(A,A)),
    eq_13 ).

cnf(eq_16,plain,
    A = nand(nand(A,A),nand(A,nand(B,A))),
    eq_12 ).

cnf(eq_17,plain,
    nand(A,nand(nand(A,A),A)) = nand(nand(B,nand(nand(nand(A,A),B),B)),A),
    eq_14 ).

cnf(eq_18,plain,
    A = nand(nand(A,A),nand(A,A)),
    inference(rw,[status(thm)],[eq_15,eq_11]) ).

cnf(eq_19,plain,
    nand(A,A) = nand(nand(B,nand(nand(nand(A,A),B),B)),A),
    inference(rw,[status(thm)],[eq_17,eq_11]) ).

cnf(eq_20,plain,
    nand(nand(nand(x100,B),nand(nand(nand(x100,B),nand(x100,B)),nand(x100,B))),nand(nand(x100,B),nand(x100,B))) = nand(B,nand(nand(nand(nand(x100,B),nand(x100,B)),B),B)),
    inference(cp,[status(thm)],[eq_19,eq_4]) ).

cnf(eq_21,plain,
    nand(A,B) = nand(B,nand(nand(nand(nand(A,B),nand(A,B)),B),B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_11]),eq_18]) ).

cnf(eq_22,plain,
    nand(nand(B,B),nand(A,B)) = B,
    inference(cp,[status(thm)],[eq_21,eq_16]) ).

cnf(eq_23,plain,
    A = nand(nand(A,A),nand(B,A)),
    eq_22 ).

cnf(eq_24,negated_conjecture,
    a != a,
    inference(rw,[status(thm)],[eq_1,eq_23]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : BOO075-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 26 03:26:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.26/2.44  % SZS status Unsatisfiable
% 2.26/2.44  % SZS output start CNFRefutation for /tmp/MaedMax_27614
% See solution above
% 2.26/2.44  
%------------------------------------------------------------------------------