%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP496-1 : TPTP v8.1.0. Released v2.6.0.
% 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 07:02:50 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (  11 unt;   0 nHn;   6 RR)
%            Number of literals    :   11 (  10 equ;   4 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    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(identity,double_divide(B,double_divide(C,identity))),double_divide(double_divide(C,double_divide(A,B)),identity)),
    file('/tmp/MaedMax_12585') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_12585') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_12585') ).

cnf(eq_3,axiom,
    identity = double_divide(A,inverse(A)),
    file('/tmp/MaedMax_12585') ).

cnf(eq_4,negated_conjecture,
    identity != multiply(inverse(a1),a1),
    file('/tmp/MaedMax_12585') ).

cnf(eq_5,plain,
    A = double_divide(double_divide(identity,double_divide(B,inverse(C))),inverse(double_divide(C,double_divide(A,B)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_2]) ).

cnf(eq_6,negated_conjecture,
    identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_2]),eq_1]) ).

cnf(eq_7,negated_conjecture,
    identity != inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_3]),eq_2]) ).

cnf(eq_8,plain,
    inverse(identity) = identity,
    inference(cp,[status(thm)],[eq_5,eq_3]) ).

cnf(eq_9,negated_conjecture,
    identity != identity,
    inference(cp,[status(thm)],[eq_8,eq_7]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP496-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % 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 04:13:15 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_12585
% See solution above
% 0.19/0.51  
%------------------------------------------------------------------------------