%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP490-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n022.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 07:02:49 EDT 2022

% Result   : Unsatisfiable 0.59s 0.78s
% Output   : CNFRefutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;  13 RR)
%            Number of literals    :   22 (  21 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(identity,B),double_divide(identity,double_divide(double_divide(double_divide(B,C),identity),double_divide(A,C)))),
    file('/tmp/MaedMax_23292') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_23292') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_23292') ).

cnf(eq_3,axiom,
    identity = double_divide(A,inverse(A)),
    file('/tmp/MaedMax_23292') ).

cnf(eq_4,negated_conjecture,
    identity != multiply(inverse(a1),a1),
    file('/tmp/MaedMax_23292') ).

cnf(eq_5,plain,
    A = double_divide(double_divide(identity,B),double_divide(identity,double_divide(inverse(double_divide(B,C)),double_divide(A,C)))),
    inference(rw,[status(thm)],[eq_0,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,
    double_divide(inverse(identity),double_divide(identity,double_divide(inverse(double_divide(identity,x101)),double_divide(x102,x101)))) = x102,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_9,plain,
    double_divide(double_divide(identity,x100),double_divide(identity,double_divide(inverse(double_divide(x100,identity)),inverse(A)))) = A,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_10,plain,
    A = double_divide(double_divide(identity,B),double_divide(identity,double_divide(inverse(inverse(B)),inverse(A)))),
    inference(rw,[status(thm)],[eq_9,eq_2]) ).

cnf(eq_11,plain,
    A = double_divide(inverse(identity),double_divide(identity,double_divide(inverse(double_divide(identity,B)),double_divide(A,B)))),
    eq_8 ).

cnf(eq_12,plain,
    double_divide(double_divide(identity,x100),double_divide(identity,identity)) = inverse(inverse(x100)),
    inference(cp,[status(thm)],[eq_3,eq_10]) ).

cnf(eq_13,plain,
    double_divide(double_divide(identity,A),inverse(identity)) = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_12,eq_2]) ).

cnf(eq_14,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(inverse(identity)),
    inference(cp,[status(thm)],[eq_2,eq_13]) ).

cnf(eq_15,plain,
    double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))) = identity,
    inference(cp,[status(thm)],[eq_14,eq_3]) ).

cnf(eq_16,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(inverse(double_divide(identity,inverse(identity))),inverse(inverse(identity))))) = inverse(identity),
    inference(cp,[status(thm)],[eq_14,eq_11]) ).

cnf(eq_17,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_3]),eq_3]),eq_2]) ).

cnf(eq_18,plain,
    identity = double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))),
    eq_15 ).

cnf(eq_19,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_17]),eq_17]) ).

cnf(eq_20,negated_conjecture,
    identity != identity,
    inference(cp,[status(thm)],[eq_19,eq_7]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP490-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n022.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 04:24:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.59/0.78  % SZS status Unsatisfiable
% 0.59/0.78  % SZS output start CNFRefutation for /tmp/MaedMax_23292
% See solution above
% 0.59/0.78  
%------------------------------------------------------------------------------