%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n025.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 07:02:57 EDT 2022

% Result   : Unsatisfiable 0.45s 0.69s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   50 (  50 unt;   0 nHn;  15 RR)
%            Number of literals    :   50 (  49 equ;   7 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    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   59 (   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_10758') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_10758') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_10758') ).

cnf(eq_3,axiom,
    double_divide(A,inverse(A)) = identity,
    file('/tmp/MaedMax_10758') ).

cnf(eq_4,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/tmp/MaedMax_10758') ).

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

cnf(eq_8,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_9,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_8 ).

cnf(eq_10,plain,
    double_divide(double_divide(A,B),double_divide(identity,identity)) = double_divide(double_divide(double_divide(C,double_divide(identity,A)),B),double_divide(C,identity)),
    eq_7 ).

cnf(eq_11,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_9,eq_2]),eq_2]),eq_2]),eq_2]) ).

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

cnf(eq_13,negated_conjecture,
    inverse(double_divide(a,b)) != inverse(double_divide(b,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_6]),eq_6]) ).

cnf(eq_14,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_15,plain,
    double_divide(double_divide(x100,double_divide(inverse(double_divide(x101,x100)),inverse(x101))),inverse(identity)) = identity,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_16,plain,
    double_divide(double_divide(inverse(A),double_divide(double_divide(identity,x102),inverse(A))),inverse(identity)) = x102,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_17,plain,
    A = double_divide(double_divide(inverse(B),double_divide(double_divide(identity,A),inverse(B))),inverse(identity)),
    eq_16 ).

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

cnf(eq_19,plain,
    double_divide(double_divide(A,double_divide(identity,inverse(B))),inverse(identity)) = inverse(double_divide(B,A)),
    eq_14 ).

cnf(eq_20,plain,
    double_divide(double_divide(x100,identity),inverse(identity)) = inverse(double_divide(identity,x100)),
    inference(cp,[status(thm)],[eq_3,eq_19]) ).

cnf(eq_21,plain,
    double_divide(double_divide(inverse(A),double_divide(inverse(identity),inverse(A))),inverse(identity)) = identity,
    inference(cp,[status(thm)],[eq_3,eq_18]) ).

cnf(eq_22,plain,
    inverse(double_divide(B,double_divide(identity,double_divide(identity,x101)))) = double_divide(double_divide(x101,double_divide(identity,inverse(B))),inverse(identity)),
    inference(cp,[status(thm)],[eq_19,eq_12]) ).

cnf(eq_23,plain,
    double_divide(double_divide(inverse(double_divide(identity,x101)),identity),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_3,eq_17]) ).

cnf(eq_24,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_11]) ).

cnf(eq_25,plain,
    A = double_divide(inverse(inverse(double_divide(identity,A))),inverse(identity)),
    inference(rw,[status(thm)],[eq_23,eq_2]) ).

cnf(eq_26,plain,
    double_divide(inverse(A),inverse(identity)) = inverse(double_divide(identity,A)),
    inference(rw,[status(thm)],[eq_20,eq_2]) ).

cnf(eq_27,negated_conjecture,
    double_divide(double_divide(b,double_divide(identity,inverse(a))),inverse(identity)) != inverse(double_divide(b,a)),
    inference(cp,[status(thm)],[eq_19,eq_13]) ).

cnf(eq_28,plain,
    double_divide(double_divide(A,double_divide(identity,inverse(B))),inverse(identity)) = multiply(A,B),
    inference(rw,[status(thm)],[eq_19,eq_6]) ).

cnf(eq_29,plain,
    double_divide(double_divide(double_divide(inverse(identity),inverse(A)),double_divide(identity,inverse(inverse(A)))),inverse(identity)) = inverse(identity),
    inference(cp,[status(thm)],[eq_21,eq_5]) ).

cnf(eq_30,plain,
    multiply(A,B) = multiply(double_divide(identity,double_divide(identity,A)),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_6]),eq_28]) ).

cnf(eq_31,plain,
    multiply(double_divide(inverse(identity),inverse(A)),inverse(A)) = inverse(identity),
    inference(rw,[status(thm)],[eq_29,eq_28]) ).

cnf(eq_32,plain,
    inverse(double_divide(A,B)) = inverse(double_divide(A,double_divide(identity,double_divide(identity,B)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_6]),eq_6]) ).

cnf(eq_33,plain,
    inverse(double_divide(inverse(A),double_divide(inverse(identity),inverse(A)))) = inverse(identity),
    inference(rw,[status(thm)],[eq_31,eq_6]) ).

cnf(eq_34,plain,
    A = inverse(double_divide(identity,inverse(double_divide(identity,A)))),
    inference(rw,[status(thm)],[eq_25,eq_26]) ).

cnf(eq_35,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_24,eq_2]),eq_26]),eq_3]) ).

cnf(eq_36,plain,
    double_divide(double_divide(B,inverse(identity)),inverse(identity)) = B,
    inference(cp,[status(thm)],[eq_35,eq_5]) ).

cnf(eq_37,plain,
    double_divide(double_divide(identity,inverse(identity)),inverse(double_divide(inverse(A),double_divide(inverse(identity),inverse(A))))) = inverse(identity),
    inference(cp,[status(thm)],[eq_21,eq_35]) ).

cnf(eq_38,plain,
    inverse(double_divide(identity,inverse(double_divide(identity,B)))) = double_divide(identity,double_divide(identity,B)),
    inference(cp,[status(thm)],[eq_32,eq_34]) ).

cnf(eq_39,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_3]),eq_33]),eq_3]) ).

cnf(eq_40,plain,
    A = double_divide(identity,double_divide(identity,A)),
    inference(rw,[status(thm)],[eq_38,eq_34]) ).

cnf(eq_41,plain,
    A = double_divide(double_divide(A,inverse(identity)),inverse(identity)),
    eq_36 ).

cnf(eq_42,plain,
    double_divide(double_divide(x100,identity),inverse(identity)) = x100,
    inference(cp,[status(thm)],[eq_39,eq_41]) ).

cnf(eq_43,plain,
    A = inverse(double_divide(identity,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_2]),eq_26]) ).

cnf(eq_44,negated_conjecture,
    double_divide(double_divide(b,double_divide(identity,inverse(a))),identity) != inverse(double_divide(b,a)),
    inference(cp,[status(thm)],[eq_39,eq_27]) ).

cnf(eq_45,negated_conjecture,
    inverse(double_divide(b,double_divide(identity,inverse(a)))) != inverse(double_divide(b,a)),
    inference(rw,[status(thm)],[eq_44,eq_2]) ).

cnf(eq_46,plain,
    inverse(A) = double_divide(identity,A),
    inference(cp,[status(thm)],[eq_40,eq_43]) ).

cnf(eq_47,negated_conjecture,
    inverse(double_divide(b,double_divide(identity,double_divide(identity,a)))) != inverse(double_divide(b,a)),
    inference(cp,[status(thm)],[eq_46,eq_45]) ).

cnf(eq_48,negated_conjecture,
    inverse(double_divide(b,a)) != inverse(double_divide(b,a)),
    inference(rw,[status(thm)],[eq_47,eq_40]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Tue Jul 26 04:24:44 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.45/0.69  % SZS status Unsatisfiable
% 0.45/0.69  % SZS output start CNFRefutation for /tmp/MaedMax_10758
% See solution above
% 0.45/0.69  
%------------------------------------------------------------------------------