%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n015.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 07:02:01 EDT 2022

% Result   : Unsatisfiable 0.46s 0.66s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   3 RR)
%            Number of literals    :   16 (  15 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 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   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = multiply(Y,multiply(multiply(Y,multiply(multiply(Y,X),Z)),multiply(identity,multiply(Z,Z)))),
    file('/tmp/MaedMax_29494') ).

cnf(eq_1,negated_conjecture,
    multiply(a,identity) != a,
    file('/tmp/MaedMax_29494') ).

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

cnf(eq_3,plain,
    multiply(x100,multiply(multiply(x100,multiply(multiply(x100,x101),multiply(identity,multiply(multiply(identity,X),multiply(identity,X))))),X)) = x101,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_4,plain,
    multiply(X,multiply(Y,multiply(identity,multiply(multiply(identity,multiply(Z,Z)),multiply(identity,multiply(Z,Z)))))) = multiply(multiply(X,Y),Z),
    eq_2 ).

cnf(eq_5,plain,
    X = multiply(Y,multiply(multiply(Y,multiply(multiply(Y,X),multiply(identity,multiply(multiply(identity,Z),multiply(identity,Z))))),Z)),
    eq_3 ).

cnf(eq_6,plain,
    multiply(multiply(X,multiply(X,multiply(multiply(X,x101),multiply(identity,multiply(Z,Z))))),Z) = x101,
    inference(cp,[status(thm)],[eq_4,eq_0]) ).

cnf(eq_7,plain,
    multiply(Y,multiply(X,x102)) = multiply(multiply(Y,X),multiply(identity,x102)),
    inference(cp,[status(thm)],[eq_0,eq_5]) ).

cnf(eq_8,plain,
    multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),multiply(identity,Z)),
    eq_7 ).

cnf(eq_9,plain,
    X = multiply(multiply(Y,multiply(Y,multiply(multiply(Y,X),multiply(identity,multiply(Z,Z))))),Z),
    eq_6 ).

cnf(eq_10,plain,
    X = multiply(multiply(Y,multiply(Y,multiply(Y,multiply(X,multiply(Z,Z))))),Z),
    inference(rw,[status(thm)],[eq_9,eq_8]) ).

cnf(eq_11,plain,
    X = multiply(Y,multiply(multiply(Y,multiply(Y,multiply(X,multiply(identity,multiply(Z,Z))))),Z)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_8]),eq_8]) ).

cnf(eq_12,plain,
    multiply(Y,identity) = Y,
    inference(cp,[status(thm)],[eq_10,eq_11]) ).

cnf(eq_13,plain,
    X = multiply(X,identity),
    eq_12 ).

cnf(eq_14,negated_conjecture,
    a != a,
    inference(rw,[status(thm)],[eq_1,eq_13]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% 0.09/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n015.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 04:27:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.46/0.66  % SZS status Unsatisfiable
% 0.46/0.66  % SZS output start CNFRefutation for /tmp/MaedMax_29494
% See solution above
% 0.46/0.66  
%------------------------------------------------------------------------------