%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP526-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%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 Apr 30 20:20:52 EDT 2024

% Result   : Unsatisfiable 0.10s 0.34s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (  20 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : divide(A,divide(divide(A,B),divide(C,B))) = C,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B] : inverse(A) = divide(divide(B,B),A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,plain,
    ! [X0,X1,X2] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    ! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    ! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
    inference(paramodulation,[status(thm)],[f7,f7]) ).

fof(f13,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[status(thm)],[f7,f6]) ).

fof(f14,plain,
    ! [X0,X1] : multiply(inverse(divide(X0,X0)),X1) = inverse(inverse(X1)),
    inference(paramodulation,[status(thm)],[f9,f13]) ).

fof(f15,plain,
    ! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
    inference(paramodulation,[status(thm)],[f7,f13]) ).

fof(f22,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(inverse(X1),X1),X0),
    inference(paramodulation,[status(thm)],[f13,f15]) ).

fof(f66,plain,
    inverse(inverse(a2)) != a2,
    inference(backward_demodulation,[status(thm)],[f22,f8]) ).

fof(f94,plain,
    ! [X0,X1] : X0 = divide(X1,inverse(divide(X0,X1))),
    inference(paramodulation,[status(thm)],[f7,f5]) ).

fof(f124,plain,
    ! [X0,X1] : X0 = multiply(X1,divide(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f13,f94]) ).

fof(f157,plain,
    ! [X0,X1] : X0 = multiply(inverse(X1),multiply(X0,X1)),
    inference(paramodulation,[status(thm)],[f13,f124]) ).

fof(f199,plain,
    ! [X0,X1] : X0 = multiply(inverse(divide(X1,X0)),X1),
    inference(paramodulation,[status(thm)],[f124,f157]) ).

fof(f217,plain,
    ! [X0] : X0 = inverse(inverse(X0)),
    inference(paramodulation,[status(thm)],[f14,f199]) ).

fof(f229,plain,
    $false,
    inference(resolution,[status(thm)],[f217,f66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : GRP526-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n024.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Tue Apr 30 00:30:36 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.10/0.33  % Drodi V3.6.0
% 0.10/0.34  % Refutation found
% 0.10/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.35  % Elapsed time: 0.013864 seconds
% 0.10/0.35  % CPU time: 0.030452 seconds
% 0.10/0.35  % Total memory used: 2.996 MB
% 0.10/0.35  % Net memory used: 2.980 MB
%------------------------------------------------------------------------------