%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : ALG236-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n011.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 06:56:10 EDT 2022

% Result   : Unsatisfiable 36.14s 36.36s
% Output   : CNFRefutation 36.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   21 (  21 unt;   0 nHn;   9 RR)
%            Number of literals    :   21 (  20 equ;   8 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  11 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    mult(A,B) = mult(A,mult(B,mult(A,B))),
    file('/tmp/MaedMax_2483') ).

cnf(eq_1,axiom,
    mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,D))),
    file('/tmp/MaedMax_2483') ).

cnf(eq_2,axiom,
    mult(A,mult(B,mult(mult(C,D),B))) = mult(mult(A,mult(D,mult(C,D))),B),
    file('/tmp/MaedMax_2483') ).

cnf(eq_3,negated_conjecture,
    mult(mult(a,b),mult(c,mult(d,e))) != mult(a,mult(c,mult(mult(d,b),e))),
    file('/tmp/MaedMax_2483') ).

cnf(eq_4,plain,
    mult(x100,mult(x101,mult(mult(A,mult(D,mult(C,D))),B))) = mult(A,mult(x101,mult(x100,mult(B,mult(mult(C,D),B))))),
    inference(cp,[status(thm)],[eq_2,eq_1]) ).

cnf(eq_5,plain,
    mult(x100,mult(x101,mult(A,B))) = mult(A,mult(x101,mult(x100,mult(B,mult(A,B))))),
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_6,plain,
    mult(mult(x102,x103),mult(D,mult(A,D))) = mult(mult(A,mult(x103,mult(x102,x103))),D),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_7,plain,
    mult(mult(C,mult(D,mult(A,D))),x103) = mult(A,mult(x103,mult(mult(C,D),x103))),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_8,plain,
    mult(A,mult(B,mult(C,mult(D,mult(mult(x4,x5),D))))) = mult(C,mult(B,mult(mult(A,mult(x5,mult(x4,x5))),D))),
    eq_4 ).

cnf(eq_9,plain,
    mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,mult(D,mult(C,D))))),
    eq_5 ).

cnf(eq_10,plain,
    mult(A,mult(B,mult(mult(C,D),B))) = mult(mult(C,mult(D,mult(A,D))),B),
    eq_7 ).

cnf(eq_11,plain,
    mult(mult(A,B),mult(C,mult(D,C))) = mult(mult(D,mult(B,mult(A,B))),C),
    eq_6 ).

cnf(eq_12,negated_conjecture,
    mult(mult(d,b),mult(c,mult(a,e))) != mult(mult(a,b),mult(c,mult(d,e))),
    inference(cp,[status(thm)],[eq_1,eq_3]) ).

cnf(eq_13,negated_conjecture,
    mult(mult(a,b),mult(c,mult(d,e))) != mult(mult(d,b),mult(c,mult(a,e))),
    eq_12 ).

cnf(eq_14,plain,
    mult(A,mult(B,mult(mult(C,D),B))) = mult(mult(A,D),mult(B,mult(C,B))),
    inference(cp,[status(thm)],[eq_10,eq_11]) ).

cnf(eq_15,negated_conjecture,
    mult(d,mult(c,mult(mult(a,b),mult(e,mult(d,e))))) != mult(mult(d,b),mult(c,mult(a,e))),
    inference(cp,[status(thm)],[eq_9,eq_13]) ).

cnf(eq_16,negated_conjecture,
    mult(d,mult(c,mult(a,mult(e,mult(mult(d,b),e))))) != mult(mult(d,b),mult(c,mult(a,e))),
    inference(cp,[status(thm)],[eq_14,eq_15]) ).

cnf(eq_17,negated_conjecture,
    mult(a,mult(c,mult(mult(d,mult(b,mult(d,b))),e))) != mult(mult(d,b),mult(c,mult(a,e))),
    inference(cp,[status(thm)],[eq_8,eq_16]) ).

cnf(eq_18,negated_conjecture,
    mult(mult(d,b),mult(c,mult(a,e))) != mult(a,mult(c,mult(mult(d,b),e))),
    inference(rw,[status(thm)],[eq_17,eq_0]) ).

cnf(eq_19,negated_conjecture,
    mult(mult(d,b),mult(c,mult(a,e))) != mult(mult(d,b),mult(c,mult(a,e))),
    inference(cp,[status(thm)],[eq_1,eq_18]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG236-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Jul 26 03:49:24 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 36.14/36.36  % SZS status Unsatisfiable
% 36.14/36.36  % SZS output start CNFRefutation for /tmp/MaedMax_2483
% See solution above
% 36.14/36.36  
%------------------------------------------------------------------------------