%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP542-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n009.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 07:02:53 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   18 (  18 unt;   0 nHn;   6 RR)
%            Number of literals    :   18 (  17 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(divide(identity,divide(divide(divide(B,A),C),B)),C),
    file('/tmp/MaedMax_6203') ).

cnf(eq_1,axiom,
    divide(A,divide(identity,B)) = multiply(A,B),
    file('/tmp/MaedMax_6203') ).

cnf(eq_2,axiom,
    divide(identity,A) = inverse(A),
    file('/tmp/MaedMax_6203') ).

cnf(eq_3,axiom,
    identity = divide(A,A),
    file('/tmp/MaedMax_6203') ).

cnf(eq_4,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/tmp/MaedMax_6203') ).

cnf(eq_5,negated_conjecture,
    divide(identity,divide(identity,a2)) != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_2]),eq_1]),eq_3]),eq_1]) ).

cnf(eq_6,plain,
    divide(divide(identity,divide(identity,x100)),divide(x100,x101)) = x101,
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_7,plain,
    divide(divide(identity,divide(divide(identity,x102),A)),x102) = A,
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_8,plain,
    A = divide(divide(identity,divide(divide(identity,B),A)),B),
    eq_7 ).

cnf(eq_9,plain,
    A = divide(divide(identity,divide(identity,B)),divide(B,A)),
    eq_6 ).

cnf(eq_10,plain,
    divide(divide(identity,A),divide(divide(identity,B),A)) = B,
    inference(cp,[status(thm)],[eq_8,eq_8]) ).

cnf(eq_11,plain,
    A = divide(divide(identity,B),divide(divide(identity,A),B)),
    eq_10 ).

cnf(eq_12,plain,
    A = divide(inverse(B),divide(inverse(A),B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_2]),eq_2]) ).

cnf(eq_13,plain,
    A = divide(inverse(inverse(B)),divide(B,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_2]),eq_2]) ).

cnf(eq_14,negated_conjecture,
    inverse(inverse(a2)) != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_2]),eq_2]) ).

cnf(eq_15,plain,
    A = inverse(inverse(A)),
    inference(cp,[status(thm)],[eq_12,eq_13]) ).

cnf(eq_16,negated_conjecture,
    a2 != a2,
    inference(cp,[status(thm)],[eq_15,eq_14]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP542-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.12  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 04:18:21 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.52  % SZS status Unsatisfiable
% 0.19/0.52  % SZS output start CNFRefutation for /tmp/MaedMax_6203
% See solution above
% 0.19/0.52  
%------------------------------------------------------------------------------