%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP491-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n021.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 0.58s 0.83s
% Output   : CNFRefutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   48 (  48 unt;   0 nHn;  22 RR)
%            Number of literals    :   48 (  47 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   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   :   42 (   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_6527') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_6527') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_6527') ).

cnf(eq_3,axiom,
    identity = double_divide(A,inverse(A)),
    file('/tmp/MaedMax_6527') ).

cnf(eq_4,negated_conjecture,
    multiply(identity,a2) != a2,
    file('/tmp/MaedMax_6527') ).

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,
    double_divide(double_divide(a2,identity),identity) != a2,
    inference(rw,[status(thm)],[eq_4,eq_1]) ).

cnf(eq_7,plain,
    double_divide(double_divide(identity,x100),double_divide(identity,double_divide(double_divide(double_divide(x100,double_divide(identity,double_divide(double_divide(double_divide(B,C),identity),double_divide(A,C)))),identity),A))) = double_divide(identity,B),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

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

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

cnf(eq_10,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_11,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(identity),double_divide(x102,inverse(A))))) = x102,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_12,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_13,plain,
    A = double_divide(double_divide(identity,B),double_divide(identity,double_divide(inverse(inverse(B)),inverse(A)))),
    inference(rw,[status(thm)],[eq_12,eq_2]) ).

cnf(eq_14,plain,
    A = double_divide(double_divide(identity,B),double_divide(identity,double_divide(inverse(identity),double_divide(A,inverse(B))))),
    eq_11 ).

cnf(eq_15,plain,
    A = double_divide(inverse(identity),double_divide(identity,double_divide(inverse(double_divide(identity,B)),double_divide(A,B)))),
    eq_10 ).

cnf(eq_16,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(identity),identity))) = A,
    inference(cp,[status(thm)],[eq_3,eq_14]) ).

cnf(eq_17,plain,
    double_divide(double_divide(identity,x100),double_divide(identity,identity)) = inverse(inverse(x100)),
    inference(cp,[status(thm)],[eq_3,eq_13]) ).

cnf(eq_18,plain,
    double_divide(double_divide(identity,A),inverse(identity)) = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_17,eq_2]) ).

cnf(eq_19,plain,
    A = double_divide(double_divide(identity,A),double_divide(identity,inverse(inverse(identity)))),
    inference(rw,[status(thm)],[eq_16,eq_2]) ).

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

cnf(eq_21,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = identity,
    inference(cp,[status(thm)],[eq_2,eq_19]) ).

cnf(eq_22,plain,
    double_divide(identity,inverse(identity)) = inverse(inverse(inverse(identity))),
    inference(cp,[status(thm)],[eq_3,eq_18]) ).

cnf(eq_23,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(inverse(identity)),
    inference(cp,[status(thm)],[eq_2,eq_18]) ).

cnf(eq_24,plain,
    double_divide(double_divide(identity,inverse(identity)),double_divide(identity,double_divide(inverse(A),A))) = double_divide(identity,identity),
    inference(cp,[status(thm)],[eq_15,eq_9]) ).

cnf(eq_25,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(rw,[status(thm)],[eq_22,eq_3]) ).

cnf(eq_26,plain,
    double_divide(identity,double_divide(identity,double_divide(inverse(A),A))) = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_3]),eq_2]) ).

cnf(eq_27,plain,
    double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))) = identity,
    inference(cp,[status(thm)],[eq_23,eq_3]) ).

cnf(eq_28,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_23,eq_15]) ).

cnf(eq_29,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(inverse(A),A))),double_divide(identity,inverse(inverse(identity)))) = identity,
    inference(cp,[status(thm)],[eq_26,eq_21]) ).

cnf(eq_30,plain,
    inverse(double_divide(inverse(identity),inverse(identity))) = identity,
    inference(cp,[status(thm)],[eq_23,eq_25]) ).

cnf(eq_31,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_3]),eq_3]),eq_2]) ).

cnf(eq_32,plain,
    identity = inverse(double_divide(inverse(identity),inverse(identity))),
    eq_30 ).

cnf(eq_33,plain,
    identity = double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))),
    eq_27 ).

cnf(eq_34,plain,
    identity = double_divide(identity,double_divide(inverse(A),A)),
    inference(rw,[status(thm)],[eq_29,eq_19]) ).

cnf(eq_35,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_31]),eq_31]) ).

cnf(eq_36,plain,
    identity = inverse(inverse(identity)),
    inference(rw,[status(thm)],[eq_32,eq_31]) ).

cnf(eq_37,plain,
    double_divide(identity,double_divide(identity,inverse(inverse(identity)))) = double_divide(inverse(A),A),
    inference(cp,[status(thm)],[eq_34,eq_19]) ).

cnf(eq_38,plain,
    double_divide(identity,inverse(identity)) = inverse(inverse(double_divide(inverse(A),A))),
    inference(cp,[status(thm)],[eq_34,eq_18]) ).

cnf(eq_39,plain,
    double_divide(inverse(A),A) = inverse(identity),
    inference(rw,[status(thm)],[eq_37,eq_20]) ).

cnf(eq_40,plain,
    identity = inverse(inverse(double_divide(inverse(A),A))),
    inference(rw,[status(thm)],[eq_38,eq_3]) ).

cnf(eq_41,plain,
    double_divide(double_divide(identity,x100),double_divide(identity,identity)) = x100,
    inference(cp,[status(thm)],[eq_36,eq_19]) ).

cnf(eq_42,plain,
    double_divide(inverse(A),A) = identity,
    inference(cp,[status(thm)],[eq_39,eq_35]) ).

cnf(eq_43,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_2]),eq_18]) ).

cnf(eq_44,negated_conjecture,
    double_divide(double_divide(a2,identity),inverse(inverse(double_divide(inverse(A),A)))) != a2,
    inference(cp,[status(thm)],[eq_40,eq_6]) ).

cnf(eq_45,negated_conjecture,
    double_divide(inverse(a2),inverse(inverse(double_divide(inverse(A),A)))) != a2,
    inference(rw,[status(thm)],[eq_44,eq_2]) ).

cnf(eq_46,negated_conjecture,
    a2 != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_42]),eq_35]),eq_35]),eq_2]),eq_43]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP491-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n021.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 04:07:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.58/0.83  % SZS status Unsatisfiable
% 0.58/0.83  % SZS output start CNFRefutation for /tmp/MaedMax_6527
% See solution above
% 0.58/0.83  
%------------------------------------------------------------------------------