%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : ROB016-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 : Wed May 31 12:33:02 EDT 2023

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   19 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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(f8,hypothesis,
    negate(add(d,e)) = negate(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    positive_integer(k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [Y,X,Vk] :
      ( negate(add(negate(Y),negate(add(X,negate(Y))))) != X
      | ~ positive_integer(Vk)
      | negate(add(Y,multiply(Vk,add(X,negate(add(X,negate(Y))))))) = negate(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,plain,
    ! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f20,plain,
    negate(add(d,e)) = negate(e),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f21,plain,
    positive_integer(k),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( negate(add(negate(X0),negate(add(X1,negate(X0))))) != X1
      | ~ positive_integer(X2)
      | negate(add(X0,multiply(X2,add(X1,negate(add(X1,negate(X0))))))) = negate(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f23,plain,
    negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f36,plain,
    negate(add(negate(e),negate(add(d,negate(e))))) = d,
    inference(paramodulation,[status(thm)],[f20,f14]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( negate(add(negate(X0),negate(add(X1,negate(X0))))) != X1
      | negate(add(X0,multiply(k,add(X1,negate(add(X1,negate(X0))))))) = negate(X0) ),
    inference(resolution,[status(thm)],[f22,f21]) ).

fof(f2186,plain,
    negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) = negate(e),
    inference(resolution,[status(thm)],[f254,f36]) ).

fof(f2187,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2186,f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ROB016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n011.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 May 30 11:10:12 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.20/0.54  % Refutation found
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.54  % Elapsed time: 0.192084 seconds
% 0.20/0.54  % CPU time: 1.411256 seconds
% 0.20/0.54  % Memory used: 49.987 MB
%------------------------------------------------------------------------------