%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP012-4 : TPTP v8.1.0. Released v1.0.0.
% 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 07:01:50 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   3 RR)
%            Number of literals    :   14 (  13 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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = multiply(identity,X),
    file('/tmp/MaedMax_28673') ).

cnf(eq_1,axiom,
    identity = multiply(inverse(X),X),
    file('/tmp/MaedMax_28673') ).

cnf(eq_2,axiom,
    multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
    file('/tmp/MaedMax_28673') ).

cnf(eq_3,axiom,
    X = multiply(X,identity),
    file('/tmp/MaedMax_28673') ).

cnf(eq_4,axiom,
    identity = multiply(X,inverse(X)),
    file('/tmp/MaedMax_28673') ).

cnf(eq_5,negated_conjecture,
    multiply(inverse(b),inverse(a)) != inverse(multiply(a,b)),
    file('/tmp/MaedMax_28673') ).

cnf(eq_6,plain,
    multiply(X,multiply(Y,inverse(multiply(X,Y)))) = identity,
    inference(cp,[status(thm)],[eq_2,eq_4]) ).

cnf(eq_7,plain,
    multiply(identity,x102) = multiply(inverse(X),multiply(X,x102)),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_8,plain,
    X = multiply(inverse(Y),multiply(Y,X)),
    inference(rw,[status(thm)],[eq_7,eq_0]) ).

cnf(eq_9,plain,
    multiply(inverse(X),identity) = multiply(Y,inverse(multiply(X,Y))),
    inference(cp,[status(thm)],[eq_6,eq_8]) ).

cnf(eq_10,plain,
    multiply(X,inverse(multiply(Y,X))) = inverse(Y),
    inference(rw,[status(thm)],[eq_9,eq_3]) ).

cnf(eq_11,plain,
    multiply(inverse(X),inverse(Y)) = inverse(multiply(Y,X)),
    inference(cp,[status(thm)],[eq_10,eq_8]) ).

cnf(eq_12,negated_conjecture,
    multiply(inverse(b),inverse(a)) != multiply(inverse(b),inverse(a)),
    inference(cp,[status(thm)],[eq_11,eq_5]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP012-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 26 04:20:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.51  % SZS status Unsatisfiable
% 0.19/0.51  % SZS output start CNFRefutation for /tmp/MaedMax_28673
% See solution above
% 0.19/0.51  
%------------------------------------------------------------------------------