%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET240-6 : 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 : Tue Apr 30 20:39:28 EDT 2024

% Result   : Unsatisfiable 0.13s 0.41s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   24 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    ! [U,V,X,Y] :
      ( ~ member(ordered_pair(U,V),cross_product(X,Y))
      | member(U,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f113,negated_conjecture,
    member(ordered_pair(u,v),restrict(xr,x,y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    ~ member(u,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f132,plain,
    ! [U,X] :
      ( ! [V,Y] : ~ member(ordered_pair(U,V),cross_product(X,Y))
      | member(U,X) ),
    inference(miniscoping,[status(esa)],[f14]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
      | member(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f132]) ).

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(ordered_pair(u,v),restrict(xr,x,y)),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f247,plain,
    ~ member(u,x),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f266,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(X0,restrict(X1,X2,X3))
      | member(X0,cross_product(X2,X3)) ),
    inference(paramodulation,[status(thm)],[f152,f143]) ).

fof(f284,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ member(ordered_pair(X0,X1),restrict(X2,X3,X4))
      | member(X0,X3) ),
    inference(resolution,[status(thm)],[f266,f133]) ).

fof(f288,plain,
    member(u,x),
    inference(resolution,[status(thm)],[f284,f246]) ).

fof(f289,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f288,f247]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET240-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n031.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 22:12:28 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.41  % Refutation found
% 0.13/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.41  % Elapsed time: 0.064101 seconds
% 0.19/0.41  % CPU time: 0.381691 seconds
% 0.19/0.41  % Total memory used: 65.397 MB
% 0.19/0.41  % Net memory used: 65.298 MB
%------------------------------------------------------------------------------