%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET238-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 12:34:19 EDT 2023

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   24 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :   28 (;  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,cross_product(X,Y))
      | ordered_pair(first(Z),second(Z)) = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [X,Y,Xr] : intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f113,negated_conjecture,
    member(z,restrict(xr,x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    ~ member(ordered_pair(first(z),second(z)),restrict(xr,x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f137,plain,
    ! [Z] :
      ( ! [X,Y] : ~ member(Z,cross_product(X,Y))
      | ordered_pair(first(Z),second(Z)) = Z ),
    inference(miniscoping,[status(esa)],[f17]) ).

fof(f138,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,cross_product(X1,X2))
      | ordered_pair(first(X0),second(X0)) = X0 ),
    inference(cnf_transformation,[status(esa)],[f137]) ).

fof(f142,plain,
    ! [Z,X] :
      ( ! [Y] : ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    inference(miniscoping,[status(esa)],[f21]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f142]) ).

fof(f152,plain,
    ! [X0,X1,X2] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f246,plain,
    member(z,restrict(xr,x,y)),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f247,plain,
    ~ member(ordered_pair(first(z),second(z)),restrict(xr,x,y)),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f675,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(X0,restrict(X1,X2,X3))
      | member(X0,cross_product(X2,X3)) ),
    inference(paramodulation,[status(thm)],[f152,f143]) ).

fof(f866,plain,
    member(z,cross_product(x,y)),
    inference(resolution,[status(thm)],[f675,f246]) ).

fof(f871,plain,
    ordered_pair(first(z),second(z)) = z,
    inference(resolution,[status(thm)],[f866,f138]) ).

fof(f873,plain,
    ~ member(z,restrict(xr,x,y)),
    inference(backward_demodulation,[status(thm)],[f871,f247]) ).

fof(f874,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f873,f246]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : SET238-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n031.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 10:42:07 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.5.1
% 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
% 0.21/0.56  % Elapsed time: 0.047367 seconds
% 0.21/0.56  % CPU time: 0.033628 seconds
% 0.21/0.56  % Memory used: 4.405 MB
%------------------------------------------------------------------------------