%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN328-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 20:51:53 EDT 2024

% Result   : Unsatisfiable 0.08s 0.31s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (   5 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   55 (  25   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ! [X] :
      ( f(y(X))
      | f(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [X] :
      ( ~ g(y(X))
      | f(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [X] :
      ( ~ f(y(X))
      | h(y(X))
      | ~ g(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [X] :
      ( ~ h(y(X))
      | g(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ! [X] :
      ( ~ f(y(X))
      | g(y(X))
      | h(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ! [X] :
      ( ~ h(y(X))
      | h(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ! [X] :
      ( ~ f(z(X))
      | ~ g(z(X))
      | ~ h(z(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,plain,
    ! [X0] :
      ( f(y(X0))
      | f(X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ g(y(X0))
      | f(X0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ f(y(X0))
      | h(y(X0))
      | ~ g(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ h(y(X0))
      | g(X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ f(y(X0))
      | g(y(X0))
      | h(X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ h(y(X0))
      | h(X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ f(z(X0))
      | ~ g(z(X0))
      | ~ h(z(X0)) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ f(y(X0))
      | h(X0)
      | f(X0) ),
    inference(resolution,[status(thm)],[f20,f14]) ).

fof(f25,plain,
    ! [X0] :
      ( h(X0)
      | f(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f24,f13]) ).

fof(f27,plain,
    ! [X0] :
      ( h(y(X0))
      | ~ g(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f15,f25]) ).

fof(f28,plain,
    ! [X0] :
      ( h(y(y(X0)))
      | ~ f(y(X0))
      | h(X0) ),
    inference(resolution,[status(thm)],[f27,f20]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ f(y(X0))
      | h(X0)
      | h(y(X0)) ),
    inference(resolution,[status(thm)],[f28,f21]) ).

fof(f31,plain,
    ! [X0] :
      ( h(X0)
      | h(y(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f30,f25]) ).

fof(f34,plain,
    ! [X0] : h(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f31,f21]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ f(z(X0))
      | ~ g(z(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f22,f34]) ).

fof(f36,plain,
    ! [X0] : g(X0),
    inference(backward_subsumption_resolution,[status(thm)],[f17,f34]) ).

fof(f37,plain,
    ! [X0] : f(X0),
    inference(backward_subsumption_resolution,[status(thm)],[f14,f36]) ).

fof(f38,plain,
    ! [X0] : ~ f(z(X0)),
    inference(forward_subsumption_resolution,[status(thm)],[f35,f36]) ).

fof(f39,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f38,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : SYN328-1 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29  % Computer : n018.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Mon Apr 29 22:13:27 EDT 2024
% 0.08/0.30  % CPUTime  : 
% 0.08/0.30  % Drodi V3.6.0
% 0.08/0.31  % Refutation found
% 0.08/0.31  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.32  % Elapsed time: 0.014398 seconds
% 0.13/0.32  % CPU time: 0.021953 seconds
% 0.13/0.32  % Total memory used: 1.655 MB
% 0.13/0.32  % Net memory used: 1.635 MB
%------------------------------------------------------------------------------