%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET241-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 0.22s 0.45s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   23 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   9   ~;   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    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [U,V,X,Y] :
      ( ~ member(ordered_pair(U,V),cross_product(X,Y))
      | member(V,Y) ),
    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(ordered_pair(u,v),restrict(xr,x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    ~ member(v,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f134,plain,
    ! [V,Y] :
      ( ! [U,X] : ~ member(ordered_pair(U,V),cross_product(X,Y))
      | member(V,Y) ),
    inference(miniscoping,[status(esa)],[f15]) ).

fof(f135,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
      | member(X1,X3) ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

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(v,y),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f261,plain,
    ! [X0,X1,X2,X3] :
      ( ~ member(X0,restrict(X1,X2,X3))
      | member(X0,cross_product(X2,X3)) ),
    inference(paramodulation,[status(thm)],[f152,f143]) ).

fof(f267,plain,
    member(ordered_pair(u,v),cross_product(x,y)),
    inference(resolution,[status(thm)],[f261,f246]) ).

fof(f274,plain,
    member(v,y),
    inference(resolution,[status(thm)],[f135,f267]) ).

fof(f275,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f274,f247]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET241-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Mon Apr 29 22:11:35 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.15/0.38  % Drodi V3.6.0
% 0.22/0.45  % Refutation found
% 0.22/0.45  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.45  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.46  % Elapsed time: 0.096111 seconds
% 0.22/0.46  % CPU time: 0.560371 seconds
% 0.22/0.46  % Total memory used: 68.640 MB
% 0.22/0.46  % Net memory used: 68.428 MB
%------------------------------------------------------------------------------