%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN361+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:46:39 EDT 2023

% Result   : Theorem 0.07s 0.26s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   37 (  15   ~;   6   |;  10   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   33 (;  25   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ( ? [V] :
        ! [X] : big_p(X,V)
      & ! [X] :
          ( big_s(X)
         => ? [Y] : big_q(Y,X) )
      & ! [X,Y] :
          ( big_p(X,Y)
         => ~ big_q(X,Y) ) )
   => ? [U] : ~ big_s(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ( ? [V] :
          ! [X] : big_p(X,V)
        & ! [X] :
            ( big_s(X)
           => ? [Y] : big_q(Y,X) )
        & ! [X,Y] :
            ( big_p(X,Y)
           => ~ big_q(X,Y) ) )
     => ? [U] : ~ big_s(U) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ? [V] :
      ! [X] : big_p(X,V)
    & ! [X] :
        ( ~ big_s(X)
        | ? [Y] : big_q(Y,X) )
    & ! [X,Y] :
        ( ~ big_p(X,Y)
        | ~ big_q(X,Y) )
    & ! [U] : big_s(U) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ! [X] : big_p(X,sk0_0)
    & ! [X] :
        ( ~ big_s(X)
        | big_q(sk0_1(X),X) )
    & ! [X,Y] :
        ( ~ big_p(X,Y)
        | ~ big_q(X,Y) )
    & ! [U] : big_s(U) ),
    inference(skolemization,[status(esa)],[f3]) ).

fof(f5,plain,
    ! [X0] : big_p(X0,sk0_0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ big_s(X0)
      | big_q(sk0_1(X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ big_p(X0,X1)
      | ~ big_q(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f8,plain,
    ! [X0] : big_s(X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    ! [X0] : big_q(sk0_1(X0),X0),
    inference(forward_subsumption_resolution,[status(thm)],[f6,f8]) ).

fof(f10,plain,
    ! [X0] : ~ big_p(sk0_1(X0),X0),
    inference(resolution,[status(thm)],[f9,f7]) ).

fof(f11,plain,
    $false,
    inference(resolution,[status(thm)],[f10,f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SYN361+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.25  % Computer : n001.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Tue May 30 10:58:30 EDT 2023
% 0.07/0.25  % CPUTime  : 
% 0.07/0.25  % Drodi V3.5.1
% 0.07/0.26  % Refutation found
% 0.07/0.26  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.26  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.27  % Elapsed time: 0.012454 seconds
% 0.07/0.27  % CPU time: 0.017166 seconds
% 0.07/0.27  % Memory used: 6.984 MB
%------------------------------------------------------------------------------