%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP577-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n012.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 07:02:56 EDT 2022

% Result   : Unsatisfiable 0.46s 0.68s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   23 (  23 unt;   0 nHn;   9 RR)
%            Number of literals    :   23 (  22 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(B,double_divide(double_divide(double_divide(C,B),A),double_divide(C,identity))),double_divide(identity,identity)),
    file('/tmp/MaedMax_19561') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_19561') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_19561') ).

cnf(eq_3,axiom,
    double_divide(A,inverse(A)) = identity,
    file('/tmp/MaedMax_19561') ).

cnf(eq_4,negated_conjecture,
    identity != multiply(inverse(a1),a1),
    file('/tmp/MaedMax_19561') ).

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

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

cnf(eq_7,plain,
    double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(A,x102),double_divide(double_divide(B,double_divide(double_divide(double_divide(C,B),A),double_divide(C,identity))),identity))),double_divide(identity,identity)) = x102,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_8,plain,
    A = double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(B,A),double_divide(double_divide(C,double_divide(double_divide(double_divide(x3,C),B),double_divide(x3,identity))),identity))),double_divide(identity,identity)),
    eq_7 ).

cnf(eq_9,plain,
    A = double_divide(double_divide(inverse(identity),double_divide(double_divide(B,A),inverse(double_divide(C,double_divide(double_divide(double_divide(x3,C),B),inverse(x3)))))),inverse(identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_2]),eq_2]),eq_2]),eq_2]) ).

cnf(eq_10,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_11,plain,
    double_divide(double_divide(x100,double_divide(identity,inverse(x101))),inverse(identity)) = inverse(double_divide(x101,x100)),
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_12,plain,
    double_divide(double_divide(A,double_divide(identity,inverse(B))),inverse(identity)) = inverse(double_divide(B,A)),
    eq_11 ).

cnf(eq_13,plain,
    double_divide(double_divide(x100,identity),inverse(identity)) = inverse(double_divide(identity,x100)),
    inference(cp,[status(thm)],[eq_3,eq_12]) ).

cnf(eq_14,plain,
    double_divide(double_divide(inverse(identity),identity),inverse(identity)) = double_divide(double_divide(double_divide(x103,x100),x100),inverse(x103)),
    inference(cp,[status(thm)],[eq_3,eq_9]) ).

cnf(eq_15,plain,
    double_divide(inverse(A),inverse(identity)) = inverse(double_divide(identity,A)),
    inference(rw,[status(thm)],[eq_13,eq_2]) ).

cnf(eq_16,plain,
    double_divide(double_divide(double_divide(A,B),B),inverse(A)) = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_2]),eq_15]),eq_3]) ).

cnf(eq_17,plain,
    double_divide(double_divide(B,inverse(identity)),inverse(identity)) = B,
    inference(cp,[status(thm)],[eq_16,eq_5]) ).

cnf(eq_18,plain,
    A = double_divide(double_divide(A,inverse(identity)),inverse(identity)),
    eq_17 ).

cnf(eq_19,plain,
    double_divide(double_divide(A,inverse(identity)),inverse(double_divide(A,inverse(identity)))) = inverse(identity),
    inference(cp,[status(thm)],[eq_18,eq_16]) ).

cnf(eq_20,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[eq_19,eq_3]) ).

cnf(eq_21,negated_conjecture,
    identity != identity,
    inference(cp,[status(thm)],[eq_20,eq_10]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GRP577-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.11/0.33  % Computer : n012.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Tue Jul 26 04:08:36 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.46/0.68  % SZS status Unsatisfiable
% 0.46/0.68  % SZS output start CNFRefutation for /tmp/MaedMax_19561
% See solution above
% 0.46/0.68  
%------------------------------------------------------------------------------