%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP671-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n013.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 07:03:09 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   3 RR)
%            Number of literals    :    8 (   7 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(A,unit),
    file('/tmp/MaedMax_24476') ).

cnf(eq_1,axiom,
    A = mult(unit,A),
    file('/tmp/MaedMax_24476') ).

cnf(eq_2,axiom,
    mult(mult(A,B),mult(C,mult(A,B))) = mult(mult(mult(A,mult(B,C)),A),B),
    file('/tmp/MaedMax_24476') ).

cnf(eq_3,negated_conjecture,
    mult(mult(a,b),a) != mult(a,mult(b,a)),
    file('/tmp/MaedMax_24476') ).

cnf(eq_4,plain,
    mult(mult(A,unit),mult(C,mult(A,unit))) = mult(mult(A,mult(unit,C)),A),
    inference(cp,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_5,plain,
    mult(A,mult(B,A)) = mult(mult(A,B),A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_0]),eq_0]),eq_1]) ).

cnf(eq_6,negated_conjecture,
    mult(a,mult(b,a)) != mult(a,mult(b,a)),
    inference(cp,[status(thm)],[eq_5,eq_3]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP671-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n013.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 04:05:15 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.53  % SZS status Unsatisfiable
% 0.19/0.53  % SZS output start CNFRefutation for /tmp/MaedMax_24476
% See solution above
% 0.19/0.53  
%------------------------------------------------------------------------------