%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP574-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n014.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 0.47s 0.67s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   40 (  40 unt;   0 nHn;  11 RR)
%            Number of literals    :   40 (  39 equ;   3 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   :   50 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(B,double_divide(double_divide(A,double_divide(C,B)),double_divide(C,identity))),double_divide(identity,identity)),
    file('/tmp/MaedMax_32699') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_32699') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_32699') ).

cnf(eq_3,axiom,
    double_divide(A,inverse(A)) = identity,
    file('/tmp/MaedMax_32699') ).

cnf(eq_4,negated_conjecture,
    multiply(identity,a2) != a2,
    file('/tmp/MaedMax_32699') ).

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

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

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

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

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

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

cnf(eq_11,plain,
    double_divide(double_divide(identity,double_divide(double_divide(x101,inverse(A)),inverse(A))),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_12,plain,
    A = double_divide(double_divide(inverse(B),double_divide(inverse(A),inverse(B))),inverse(identity)),
    inference(rw,[status(thm)],[eq_10,eq_2]) ).

cnf(eq_13,plain,
    A = double_divide(double_divide(identity,double_divide(double_divide(A,inverse(B)),inverse(B))),inverse(identity)),
    eq_11 ).

cnf(eq_14,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(x101,double_divide(double_divide(identity,double_divide(x102,x101)),inverse(x102))),
    inference(cp,[status(thm)],[eq_3,eq_9]) ).

cnf(eq_15,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(identity)) = A,
    inference(cp,[status(thm)],[eq_3,eq_13]) ).

cnf(eq_16,plain,
    double_divide(double_divide(identity,double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(B,inverse(identity))),
    inference(cp,[status(thm)],[eq_9,eq_13]) ).

cnf(eq_17,plain,
    double_divide(double_divide(inverse(inverse(x101)),identity),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_3,eq_12]) ).

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

cnf(eq_19,plain,
    double_divide(double_divide(identity,A),inverse(identity)) = double_divide(identity,double_divide(A,inverse(identity))),
    inference(rw,[status(thm)],[eq_16,eq_5]) ).

cnf(eq_20,plain,
    double_divide(A,double_divide(double_divide(identity,double_divide(B,A)),inverse(B))) = double_divide(inverse(identity),inverse(identity)),
    inference(rw,[status(thm)],[eq_14,eq_2]) ).

cnf(eq_21,plain,
    A = double_divide(inverse(inverse(inverse(A))),inverse(identity)),
    inference(rw,[status(thm)],[eq_17,eq_2]) ).

cnf(eq_22,plain,
    double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))) = double_divide(identity,double_divide(double_divide(B,inverse(identity)),inverse(identity))),
    inference(rw,[status(thm)],[eq_9,eq_19]) ).

cnf(eq_23,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_22]),eq_3]),eq_3]),eq_2]) ).

cnf(eq_24,plain,
    A = double_divide(identity,double_divide(identity,double_divide(inverse(A),inverse(identity)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_19]),eq_19]) ).

cnf(eq_25,plain,
    double_divide(x100,double_divide(identity,double_divide(double_divide(identity,x100),inverse(identity)))) = double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),
    inference(cp,[status(thm)],[eq_19,eq_9]) ).

cnf(eq_26,plain,
    double_divide(A,double_divide(identity,double_divide(identity,double_divide(A,inverse(identity))))) = double_divide(inverse(identity),inverse(identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_19]),eq_3]),eq_2]) ).

cnf(eq_27,plain,
    double_divide(inverse(A),A) = double_divide(inverse(identity),inverse(identity)),
    inference(cp,[status(thm)],[eq_24,eq_26]) ).

cnf(eq_28,plain,
    double_divide(identity,double_divide(identity,inverse(identity))) = identity,
    inference(cp,[status(thm)],[eq_23,eq_24]) ).

cnf(eq_29,plain,
    double_divide(identity,double_divide(identity,A)) = inverse(inverse(A)),
    inference(cp,[status(thm)],[eq_21,eq_24]) ).

cnf(eq_30,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_3]),eq_2]) ).

cnf(eq_31,plain,
    double_divide(inverse(A),A) = identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_30]),eq_30]),eq_2]),eq_30]) ).

cnf(eq_32,plain,
    A = inverse(inverse(inverse(inverse(A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_30]),eq_2]),eq_29]) ).

cnf(eq_33,plain,
    double_divide(A,inverse(inverse(inverse(A)))) = identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_30]),eq_2]),eq_29]),eq_30]),eq_30]),eq_2]),eq_30]) ).

cnf(eq_34,plain,
    A = inverse(double_divide(inverse(B),double_divide(inverse(A),inverse(B)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_30]),eq_2]) ).

cnf(eq_35,negated_conjecture,
    multiply(double_divide(inverse(A),A),a2) != a2,
    inference(cp,[status(thm)],[eq_31,eq_4]) ).

cnf(eq_36,plain,
    inverse(double_divide(inverse(inverse(inverse(inverse(x101)))),identity)) = x101,
    inference(cp,[status(thm)],[eq_33,eq_34]) ).

cnf(eq_37,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_32]),eq_2]) ).

cnf(eq_38,negated_conjecture,
    a2 != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_31]),eq_6]),eq_2]),eq_37]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP574-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n014.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 04:20:55 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.47/0.67  % SZS status Unsatisfiable
% 0.47/0.67  % SZS output start CNFRefutation for /tmp/MaedMax_32699
% See solution above
% 0.47/0.67  
%------------------------------------------------------------------------------