%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP455-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n024.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 07:02:46 EDT 2022

% Result   : Unsatisfiable 0.37s 0.59s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   26 (  26 unt;   0 nHn;   8 RR)
%            Number of literals    :   26 (  25 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    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(divide(identity,divide(B,divide(A,divide(divide(divide(B,B),B),C)))),C),
    file('/tmp/MaedMax_27630') ).

cnf(eq_1,axiom,
    divide(A,divide(identity,B)) = multiply(A,B),
    file('/tmp/MaedMax_27630') ).

cnf(eq_2,axiom,
    divide(identity,A) = inverse(A),
    file('/tmp/MaedMax_27630') ).

cnf(eq_3,axiom,
    identity = divide(A,A),
    file('/tmp/MaedMax_27630') ).

cnf(eq_4,negated_conjecture,
    multiply(identity,a2) != a2,
    file('/tmp/MaedMax_27630') ).

cnf(eq_5,plain,
    A = divide(inverse(divide(B,divide(A,divide(inverse(B),C)))),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_3]),eq_2]),eq_2]) ).

cnf(eq_6,plain,
    divide(A,inverse(B)) = multiply(A,B),
    inference(rw,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_7,plain,
    inverse(identity) = identity,
    inference(cp,[status(thm)],[eq_2,eq_3]) ).

cnf(eq_8,plain,
    divide(x100,identity) = multiply(x100,identity),
    inference(cp,[status(thm)],[eq_7,eq_6]) ).

cnf(eq_9,plain,
    divide(inverse(divide(x100,identity)),x102) = divide(inverse(x100),x102),
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_10,plain,
    divide(inverse(divide(x100,divide(x101,identity))),inverse(x100)) = x101,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_11,plain,
    divide(A,identity) = multiply(A,identity),
    eq_8 ).

cnf(eq_12,plain,
    A = multiply(inverse(divide(B,divide(A,identity))),B),
    inference(rw,[status(thm)],[eq_10,eq_6]) ).

cnf(eq_13,plain,
    divide(inverse(A),B) = divide(inverse(divide(A,identity)),B),
    eq_9 ).

cnf(eq_14,plain,
    divide(inverse(divide(x100,divide(inverse(A),divide(inverse(x100),x102)))),x102) = inverse(divide(A,identity)),
    inference(cp,[status(thm)],[eq_13,eq_5]) ).

cnf(eq_15,plain,
    inverse(A) = inverse(divide(A,identity)),
    inference(rw,[status(thm)],[eq_14,eq_5]) ).

cnf(eq_16,plain,
    divide(identity,A) = divide(identity,multiply(A,identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_2]),eq_11]),eq_2]) ).

cnf(eq_17,plain,
    A = multiply(divide(identity,divide(B,divide(A,identity))),B),
    inference(rw,[status(thm)],[eq_12,eq_2]) ).

cnf(eq_18,plain,
    divide(identity,A) = divide(identity,divide(A,identity)),
    inference(rw,[status(thm)],[eq_16,eq_11]) ).

cnf(eq_19,plain,
    divide(x100,divide(identity,A)) = multiply(x100,divide(A,identity)),
    inference(cp,[status(thm)],[eq_18,eq_1]) ).

cnf(eq_20,plain,
    multiply(divide(identity,identity),divide(x101,identity)) = x101,
    inference(cp,[status(thm)],[eq_3,eq_17]) ).

cnf(eq_21,plain,
    multiply(A,B) = multiply(A,divide(B,identity)),
    inference(rw,[status(thm)],[eq_19,eq_1]) ).

cnf(eq_22,plain,
    A = multiply(identity,divide(A,identity)),
    inference(rw,[status(thm)],[eq_20,eq_3]) ).

cnf(eq_23,plain,
    A = multiply(identity,A),
    inference(rw,[status(thm)],[eq_22,eq_21]) ).

cnf(eq_24,negated_conjecture,
    a2 != a2,
    inference(cp,[status(thm)],[eq_23,eq_4]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP455-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jul 26 04:13:10 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.37/0.59  % SZS status Unsatisfiable
% 0.37/0.59  % SZS output start CNFRefutation for /tmp/MaedMax_27630
% See solution above
% 0.37/0.59  
%------------------------------------------------------------------------------