%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ROB013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 20:38:07 EDT 2024

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] : add(X,Y) = add(Y,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] : negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,hypothesis,
    negate(add(a,b)) = c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    negate(add(c,negate(add(negate(b),a)))) != a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f8,plain,
    ! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    negate(add(a,b)) = c,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    negate(add(c,negate(add(negate(b),a)))) != a,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f11,plain,
    negate(add(c,negate(add(a,negate(b))))) != a,
    inference(backward_demodulation,[status(thm)],[f6,f10]) ).

fof(f22,plain,
    a = negate(add(c,negate(add(a,negate(b))))),
    inference(paramodulation,[status(thm)],[f9,f8]) ).

fof(f32,plain,
    $false,
    inference(resolution,[status(thm)],[f22,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ROB013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Apr 30 00:16:25 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.35  % Refutation found
% 0.14/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.36  % Elapsed time: 0.014281 seconds
% 0.14/0.36  % CPU time: 0.021748 seconds
% 0.14/0.36  % Total memory used: 2.066 MB
% 0.14/0.36  % Net memory used: 1.914 MB
%------------------------------------------------------------------------------