%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP702-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n020.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 07:03:12 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   17 (  17 unt;   0 nHn;   9 RR)
%            Number of literals    :   17 (  16 equ;   5 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    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(B,ld(B,A)),
    file('/tmp/MaedMax_25348') ).

cnf(eq_1,axiom,
    A = ld(B,mult(B,A)),
    file('/tmp/MaedMax_25348') ).

cnf(eq_2,axiom,
    A = mult(A,unit),
    file('/tmp/MaedMax_25348') ).

cnf(eq_3,axiom,
    A = mult(unit,A),
    file('/tmp/MaedMax_25348') ).

cnf(eq_4,axiom,
    mult(A,mult(B,op_c)) = mult(mult(A,B),op_c),
    file('/tmp/MaedMax_25348') ).

cnf(eq_5,axiom,
    ld(A,mult(op_c,A)) = op_d,
    file('/tmp/MaedMax_25348') ).

cnf(eq_6,axiom,
    mult(A,mult(B,ld(mult(A,B),op_c))) = op_f,
    file('/tmp/MaedMax_25348') ).

cnf(eq_7,negated_conjecture,
    mult(mult(x0,x1),op_d) != mult(x0,mult(x1,op_d)),
    file('/tmp/MaedMax_25348') ).

cnf(eq_8,plain,
    op_c = op_d,
    inference(cp,[status(thm)],[eq_1,eq_5]) ).

cnf(eq_9,plain,
    mult(A,mult(unit,ld(A,op_c))) = op_f,
    inference(cp,[status(thm)],[eq_2,eq_6]) ).

cnf(eq_10,plain,
    op_c = op_f,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_3]),eq_0]) ).

cnf(eq_11,plain,
    op_d = op_f,
    inference(cp,[status(thm)],[eq_8,eq_10]) ).

cnf(eq_12,negated_conjecture,
    mult(x0,mult(x1,op_c)) != mult(mult(x0,x1),op_d),
    inference(cp,[status(thm)],[eq_8,eq_7]) ).

cnf(eq_13,negated_conjecture,
    mult(mult(x0,x1),op_d) != mult(x0,mult(x1,op_c)),
    eq_12 ).

cnf(eq_14,negated_conjecture,
    mult(mult(x0,x1),op_f) != mult(x0,mult(x1,op_f)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_11]),eq_10]) ).

cnf(eq_15,negated_conjecture,
    mult(x0,mult(x1,op_c)) != mult(x0,mult(x1,op_c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_10]),eq_4]),eq_10]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP702-11 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n020.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 04:21:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.56  % SZS status Unsatisfiable
% 0.19/0.56  % SZS output start CNFRefutation for /tmp/MaedMax_25348
% See solution above
% 0.19/0.56  
%------------------------------------------------------------------------------