TSTP Solution File: GEO086+1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 12:07:44 EDT 2023

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   35 (   6 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   29 (  10   ~;   7   |;   9   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   17 (;  13   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [C,C1] :
      ( ( part_of(C1,C)
        & C1 != C )
     => open(C1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,conjecture,
    ! [C,Cpp] :
      ( ( open(C)
        & part_of(Cpp,C) )
     => open(Cpp) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    ~ ! [C,Cpp] :
        ( ( open(C)
          & part_of(Cpp,C) )
       => open(Cpp) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f74,plain,
    ! [C,C1] :
      ( ~ part_of(C1,C)
      | C1 = C
      | open(C1) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f75,plain,
    ! [C1] :
      ( ! [C] :
          ( ~ part_of(C1,C)
          | C1 = C )
      | open(C1) ),
    inference(miniscoping,[status(esa)],[f74]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ part_of(X0,X1)
      | X0 = X1
      | open(X0) ),
    inference(cnf_transformation,[status(esa)],[f75]) ).

fof(f104,plain,
    ? [C,Cpp] :
      ( open(C)
      & part_of(Cpp,C)
      & ~ open(Cpp) ),
    inference(pre_NNF_transformation,[status(esa)],[f18]) ).

fof(f105,plain,
    ? [Cpp] :
      ( ? [C] :
          ( open(C)
          & part_of(Cpp,C) )
      & ~ open(Cpp) ),
    inference(miniscoping,[status(esa)],[f104]) ).

fof(f106,plain,
    ( open(sk0_14)
    & part_of(sk0_13,sk0_14)
    & ~ open(sk0_13) ),
    inference(skolemization,[status(esa)],[f105]) ).

fof(f107,plain,
    open(sk0_14),
    inference(cnf_transformation,[status(esa)],[f106]) ).

fof(f108,plain,
    part_of(sk0_13,sk0_14),
    inference(cnf_transformation,[status(esa)],[f106]) ).

fof(f109,plain,
    ~ open(sk0_13),
    inference(cnf_transformation,[status(esa)],[f106]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ part_of(sk0_13,X0)
      | sk0_13 = X0 ),
    inference(resolution,[status(thm)],[f76,f109]) ).

fof(f114,plain,
    sk0_13 = sk0_14,
    inference(resolution,[status(thm)],[f113,f108]) ).

fof(f116,plain,
    open(sk0_13),
    inference(paramodulation,[status(thm)],[f114,f107]) ).

fof(f117,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f116,f109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue May 30 12:04:03 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.024841 seconds
% 0.13/0.38  % CPU time: 0.039085 seconds
% 0.13/0.38  % Memory used: 11.766 MB
%------------------------------------------------------------------------------