%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 20:51:00 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X,Y] :
      ( ~ p1(X,f(Y))
      | q1(f(X),Y)
      | q2(X,f(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [Y] : p1(a,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [X,Y] : ~ q2(X,f(Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [X,Y] :
      ( ~ p2(X,f(Y))
      | q3(f(X),Y)
      | q4(X,f(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [X,Y] : ~ q3(X,g(Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [X,Y] : ~ q4(f(f(X)),f(g(f(Y)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ! [X,Y] :
      ( ~ q1(X,f(Y))
      | p2(f(X),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ p1(X0,f(X1))
      | q1(f(X0),X1)
      | q2(X0,f(X1)) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f9,plain,
    ! [X0] : p1(a,X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f10,plain,
    ! [X0,X1] : ~ q2(X0,f(X1)),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ p2(X0,f(X1))
      | q3(f(X0),X1)
      | q4(X0,f(X1)) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f12,plain,
    ! [X0,X1] : ~ q3(X0,g(X1)),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f13,plain,
    ! [X0,X1] : ~ q4(f(f(X0)),f(g(f(X1)))),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ q1(X0,f(X1))
      | p2(f(X0),X1) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ p1(X0,f(X1))
      | q1(f(X0),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f8,f10]) ).

fof(f16,plain,
    ! [X0] : q1(f(a),X0),
    inference(resolution,[status(thm)],[f15,f9]) ).

fof(f17,plain,
    ! [X0] : p2(f(f(a)),X0),
    inference(resolution,[status(thm)],[f16,f14]) ).

fof(f18,plain,
    ! [X0] :
      ( q3(f(f(f(a))),X0)
      | q4(f(f(a)),f(X0)) ),
    inference(resolution,[status(thm)],[f11,f17]) ).

fof(f19,plain,
    ! [X0] : q3(f(f(f(a))),g(f(X0))),
    inference(resolution,[status(thm)],[f18,f13]) ).

fof(f20,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f19,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYN006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n004.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 : Mon Apr 29 21:58:48 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.016446 seconds
% 0.13/0.37  % CPU time: 0.029466 seconds
% 0.13/0.37  % Total memory used: 1.899 MB
% 0.13/0.37  % Net memory used: 1.788 MB
%------------------------------------------------------------------------------