%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO080+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 20:17:02 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   37 (  15   ~;  13   |;   6   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   30 (  27   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [C,C1] :
      ( part_of(C1,C)
    <=> ! [P] :
          ( incident_c(P,C1)
         => incident_c(P,C) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,conjecture,
    ! [C] : part_of(C,C),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    ~ ! [C] : part_of(C,C),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ! [C,C1] :
      ( part_of(C1,C)
    <=> ! [P] :
          ( ~ incident_c(P,C1)
          | incident_c(P,C) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f1]) ).

fof(f20,plain,
    ! [C,C1] :
      ( ( ~ part_of(C1,C)
        | ! [P] :
            ( ~ incident_c(P,C1)
            | incident_c(P,C) ) )
      & ( part_of(C1,C)
        | ? [P] :
            ( incident_c(P,C1)
            & ~ incident_c(P,C) ) ) ),
    inference(NNF_transformation,[status(esa)],[f19]) ).

fof(f21,plain,
    ( ! [C,C1] :
        ( ~ part_of(C1,C)
        | ! [P] :
            ( ~ incident_c(P,C1)
            | incident_c(P,C) ) )
    & ! [C,C1] :
        ( part_of(C1,C)
        | ? [P] :
            ( incident_c(P,C1)
            & ~ incident_c(P,C) ) ) ),
    inference(miniscoping,[status(esa)],[f20]) ).

fof(f22,plain,
    ( ! [C,C1] :
        ( ~ part_of(C1,C)
        | ! [P] :
            ( ~ incident_c(P,C1)
            | incident_c(P,C) ) )
    & ! [C,C1] :
        ( part_of(C1,C)
        | ( incident_c(sk0_0(C1,C),C1)
          & ~ incident_c(sk0_0(C1,C),C) ) ) ),
    inference(skolemization,[status(esa)],[f21]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( part_of(X0,X1)
      | incident_c(sk0_0(X0,X1),X0) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( part_of(X0,X1)
      | ~ incident_c(sk0_0(X0,X1),X1) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

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

fof(f105,plain,
    ~ part_of(sk0_13,sk0_13),
    inference(skolemization,[status(esa)],[f104]) ).

fof(f106,plain,
    ~ part_of(sk0_13,sk0_13),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f115,plain,
    ! [X0] :
      ( part_of(X0,X0)
      | part_of(X0,X0) ),
    inference(resolution,[status(thm)],[f25,f24]) ).

fof(f116,plain,
    ! [X0] : part_of(X0,X0),
    inference(duplicate_literals_removal,[status(esa)],[f115]) ).

fof(f119,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f106,f116]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO080+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n021.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 Apr 30 01:40:55 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 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: 0.024344 seconds
% 0.13/0.38  % CPU time: 0.060013 seconds
% 0.13/0.38  % Total memory used: 13.015 MB
% 0.13/0.38  % Net memory used: 12.984 MB
%------------------------------------------------------------------------------