%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN732+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 20:52:57 EDT 2024

% Result   : Theorem 0.08s 0.28s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   31 (  11   ~;   5   |;   9   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   37 (  27   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ! [Y] :
        ( ! [X] : p(X,Y)
       => ! [U] : q(U,Y) )
   => ? [Z] :
        ( ? [V] : p(V,Z)
       => ? [W] :
            ( p(Z,W)
            | q(W,Z) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ! [Y] :
          ( ! [X] : p(X,Y)
         => ! [U] : q(U,Y) )
     => ? [Z] :
          ( ? [V] : p(V,Z)
         => ? [W] :
              ( p(Z,W)
              | q(W,Z) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ! [Y] :
        ( ? [X] : ~ p(X,Y)
        | ! [U] : q(U,Y) )
    & ! [Z] :
        ( ? [V] : p(V,Z)
        & ! [W] :
            ( ~ p(Z,W)
            & ~ q(W,Z) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ! [Y] :
        ( ? [X] : ~ p(X,Y)
        | ! [U] : q(U,Y) )
    & ! [Z] :
      ? [V] : p(V,Z)
    & ! [Z,W] : ~ p(Z,W)
    & ! [Z,W] : ~ q(W,Z) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f5,plain,
    ( ! [Y] :
        ( ~ p(sk0_0(Y),Y)
        | ! [U] : q(U,Y) )
    & ! [Z] : p(sk0_1(Z),Z)
    & ! [Z,W] : ~ p(Z,W)
    & ! [Z,W] : ~ q(W,Z) ),
    inference(skolemization,[status(esa)],[f4]) ).

fof(f7,plain,
    ! [X0] : p(sk0_1(X0),X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f8,plain,
    ! [X0,X1] : ~ p(X0,X1),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f10,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f7,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN732+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26  % Computer : n020.cluster.edu
% 0.08/0.26  % Model    : x86_64 x86_64
% 0.08/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26  % Memory   : 8042.1875MB
% 0.08/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Mon Apr 29 21:51:32 EDT 2024
% 0.08/0.27  % CPUTime  : 
% 0.08/0.27  % Drodi V3.6.0
% 0.08/0.28  % Refutation found
% 0.08/0.28  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.29  % Elapsed time: 0.019510 seconds
% 0.12/0.29  % CPU time: 0.012875 seconds
% 0.12/0.29  % Total memory used: 913.840 KB
% 0.12/0.29  % Net memory used: 883.648 KB
%------------------------------------------------------------------------------