%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN944+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : Wed May 31 12:48:28 EDT 2023

% Result   : Theorem 0.11s 0.29s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :   61 (  18   ~;  12   |;  25   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   42 (;  32   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [A,B,C] :
      ( ( s(A)
        & s(B)
        & r(B,C)
        & ! [X] :
            ( s(X)
           => p(X) )
        & ! [X,Y] :
            ( r(X,Y)
           => q(X,Y) ) )
     => ? [X,Y] :
          ( p(X)
          & q(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ! [A,B,C] :
        ( ( s(A)
          & s(B)
          & r(B,C)
          & ! [X] :
              ( s(X)
             => p(X) )
          & ! [X,Y] :
              ( r(X,Y)
             => q(X,Y) ) )
       => ? [X,Y] :
            ( p(X)
            & q(X,Y) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ? [A,B,C] :
      ( s(A)
      & s(B)
      & r(B,C)
      & ! [X] :
          ( ~ s(X)
          | p(X) )
      & ! [X,Y] :
          ( ~ r(X,Y)
          | q(X,Y) )
      & ! [X,Y] :
          ( ~ p(X)
          | ~ q(X,Y) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ? [B] :
        ( ? [A] : s(A)
        & s(B)
        & ? [C] : r(B,C) )
    & ! [X] :
        ( ~ s(X)
        | p(X) )
    & ! [X,Y] :
        ( ~ r(X,Y)
        | q(X,Y) )
    & ! [X] :
        ( ~ p(X)
        | ! [Y] : ~ q(X,Y) ) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f5,plain,
    ( s(sk0_1)
    & s(sk0_0)
    & r(sk0_0,sk0_2)
    & ! [X] :
        ( ~ s(X)
        | p(X) )
    & ! [X,Y] :
        ( ~ r(X,Y)
        | q(X,Y) )
    & ! [X] :
        ( ~ p(X)
        | ! [Y] : ~ q(X,Y) ) ),
    inference(skolemization,[status(esa)],[f4]) ).

fof(f7,plain,
    s(sk0_0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f8,plain,
    r(sk0_0,sk0_2),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ s(X0)
      | p(X0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ r(X0,X1)
      | q(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ p(X0)
      | ~ q(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f12,plain,
    p(sk0_0),
    inference(resolution,[status(thm)],[f9,f7]) ).

fof(f14,plain,
    q(sk0_0,sk0_2),
    inference(resolution,[status(thm)],[f10,f8]) ).

fof(f15,plain,
    ~ p(sk0_0),
    inference(resolution,[status(thm)],[f11,f14]) ).

fof(f16,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f15,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07  % Problem  : SYN944+1 : TPTP v8.1.2. Released v3.1.0.
% 0.01/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n020.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 10:30:28 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.11/0.27  % Drodi V3.5.1
% 0.11/0.29  % Refutation found
% 0.11/0.29  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.29  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.29  % Elapsed time: 0.025062 seconds
% 0.11/0.29  % CPU time: 0.013916 seconds
% 0.11/0.29  % Memory used: 1.769 MB
%------------------------------------------------------------------------------