%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n018.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 07:01:47 EDT 2022

% Result   : Unsatisfiable 0.41s 0.58s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   17 (  17 unt;   0 nHn;   6 RR)
%            Number of literals    :   17 (  16 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
    file('/tmp/MaedMax_16449') ).

cnf(eq_1,axiom,
    X = multiply(identity,X),
    file('/tmp/MaedMax_16449') ).

cnf(eq_2,axiom,
    multiply(X,X) = identity,
    file('/tmp/MaedMax_16449') ).

cnf(eq_3,axiom,
    multiply(a,b) = c,
    file('/tmp/MaedMax_16449') ).

cnf(eq_4,negated_conjecture,
    multiply(b,a) != c,
    file('/tmp/MaedMax_16449') ).

cnf(eq_5,plain,
    multiply(X,multiply(Y,multiply(X,Y))) = identity,
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_6,plain,
    multiply(identity,x102) = multiply(X,multiply(X,x102)),
    inference(cp,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_7,plain,
    X = multiply(Y,multiply(Y,X)),
    inference(rw,[status(thm)],[eq_6,eq_1]) ).

cnf(eq_8,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    inference(rw,[status(thm)],[eq_4,eq_3]) ).

cnf(eq_9,plain,
    multiply(X,identity) = X,
    inference(cp,[status(thm)],[eq_2,eq_7]) ).

cnf(eq_10,plain,
    multiply(X,identity) = multiply(Y,multiply(X,Y)),
    inference(cp,[status(thm)],[eq_5,eq_7]) ).

cnf(eq_11,plain,
    multiply(X,multiply(Y,X)) = multiply(Y,identity),
    eq_10 ).

cnf(eq_12,plain,
    multiply(X,multiply(Y,identity)) = multiply(Y,X),
    inference(cp,[status(thm)],[eq_11,eq_7]) ).

cnf(eq_13,plain,
    multiply(X,Y) = multiply(Y,X),
    inference(rw,[status(thm)],[eq_12,eq_9]) ).

cnf(eq_14,negated_conjecture,
    multiply(a,b) != multiply(a,b),
    inference(cp,[status(thm)],[eq_13,eq_8]) ).

cnf(eq_15,negated_conjecture,
    c != c,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_3]),eq_3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n018.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 04:26:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/0.58  % SZS status Unsatisfiable
% 0.41/0.58  % SZS output start CNFRefutation for /tmp/MaedMax_16449
% See solution above
% 0.41/0.58  
%------------------------------------------------------------------------------