%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n025.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 07:03:13 EDT 2022

% Result   : Unsatisfiable 0.42s 0.61s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   7 RR)
%            Number of literals    :   16 (  15 equ;   6 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   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   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(unit,A),
    file('/tmp/MaedMax_13112') ).

cnf(eq_1,axiom,
    mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C),
    file('/tmp/MaedMax_13112') ).

cnf(eq_2,axiom,
    mult(A,op_c) = mult(op_c,A),
    file('/tmp/MaedMax_13112') ).

cnf(eq_3,axiom,
    mult(A,mult(B,op_c)) = mult(mult(A,B),op_c),
    file('/tmp/MaedMax_13112') ).

cnf(eq_4,negated_conjecture,
    mult(mult(mult(op_c,op_c),a),b) != mult(mult(op_c,op_c),mult(a,b)),
    file('/tmp/MaedMax_13112') ).

cnf(eq_5,plain,
    mult(mult(A,A),x102) = mult(A,mult(unit,mult(A,x102))),
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_6,plain,
    mult(A,mult(B,op_c)) = mult(op_c,mult(A,B)),
    inference(cp,[status(thm)],[eq_3,eq_2]) ).

cnf(eq_7,plain,
    mult(A,mult(A,B)) = mult(mult(A,A),B),
    inference(rw,[status(thm)],[eq_5,eq_0]) ).

cnf(eq_8,plain,
    mult(x100,mult(op_c,A)) = mult(op_c,mult(x100,A)),
    inference(cp,[status(thm)],[eq_2,eq_6]) ).

cnf(eq_9,plain,
    mult(A,mult(op_c,B)) = mult(op_c,mult(A,B)),
    eq_8 ).

cnf(eq_10,negated_conjecture,
    mult(mult(op_c,mult(op_c,a)),b) != mult(mult(op_c,op_c),mult(a,b)),
    inference(cp,[status(thm)],[eq_7,eq_4]) ).

cnf(eq_11,negated_conjecture,
    mult(mult(op_c,mult(op_c,a)),b) != mult(op_c,mult(op_c,mult(a,b))),
    inference(rw,[status(thm)],[eq_10,eq_7]) ).

cnf(eq_12,negated_conjecture,
    mult(mult(op_c,mult(a,op_c)),b) != mult(op_c,mult(op_c,mult(a,b))),
    inference(cp,[status(thm)],[eq_6,eq_11]) ).

cnf(eq_13,negated_conjecture,
    mult(op_c,mult(op_c,mult(a,b))) != mult(op_c,mult(a,mult(op_c,b))),
    inference(rw,[status(thm)],[eq_12,eq_1]) ).

cnf(eq_14,negated_conjecture,
    mult(op_c,mult(a,mult(op_c,b))) != mult(op_c,mult(a,mult(op_c,b))),
    inference(cp,[status(thm)],[eq_9,eq_13]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jul 26 04:25:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.42/0.61  % SZS status Unsatisfiable
% 0.42/0.61  % SZS output start CNFRefutation for /tmp/MaedMax_13112
% See solution above
% 0.42/0.61  
%------------------------------------------------------------------------------