%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.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  : 600s
% DateTime : Sat Jul 16 05:24:11 EDT 2022

% Result   : Theorem 0.19s 0.38s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   46 (   8 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   38 (  14   ~;  12   |;   8   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   16 (   0 sgn  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(c1,axiom,
    ! [C,C1] :
      ( ( part_of(C1,C)
        & C1 != C )
     => open(C1) ) ).

fof(theorem_2_7_2,conjecture,
    ! [C,Cpp] :
      ( ( open(C)
        & part_of(Cpp,C) )
     => open(Cpp) ) ).

fof(subgoal_0,plain,
    ! [C,Cpp] :
      ( ( open(C)
        & part_of(Cpp,C) )
     => open(Cpp) ),
    inference(strip,[],[theorem_2_7_2]) ).

fof(negate_0_0,plain,
    ~ ! [C,Cpp] :
        ( ( open(C)
          & part_of(Cpp,C) )
       => open(Cpp) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [C,Cpp] :
      ( ~ open(Cpp)
      & open(C)
      & part_of(Cpp,C) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( ~ open(skolemFOFtoCNF_Cpp)
    & open(skolemFOFtoCNF_C_1)
    & part_of(skolemFOFtoCNF_Cpp,skolemFOFtoCNF_C_1) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ~ open(skolemFOFtoCNF_Cpp),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    part_of(skolemFOFtoCNF_Cpp,skolemFOFtoCNF_C_1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_4,plain,
    ! [C,C1] :
      ( ~ part_of(C1,C)
      | C1 = C
      | open(C1) ),
    inference(canonicalize,[],[c1]) ).

fof(normalize_0_5,plain,
    ! [C,C1] :
      ( ~ part_of(C1,C)
      | C1 = C
      | open(C1) ),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    open(skolemFOFtoCNF_C_1),
    inference(conjunct,[],[normalize_0_1]) ).

cnf(refute_0_0,plain,
    ~ open(skolemFOFtoCNF_Cpp),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    part_of(skolemFOFtoCNF_Cpp,skolemFOFtoCNF_C_1),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_2,plain,
    ( ~ part_of(C1,C)
    | C1 = C
    | open(C1) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_3,plain,
    ( ~ part_of(skolemFOFtoCNF_Cpp,skolemFOFtoCNF_C_1)
    | skolemFOFtoCNF_Cpp = skolemFOFtoCNF_C_1
    | open(skolemFOFtoCNF_Cpp) ),
    inference(subst,[],[refute_0_2:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(C1,$fot(skolemFOFtoCNF_Cpp))]]) ).

cnf(refute_0_4,plain,
    ( skolemFOFtoCNF_Cpp = skolemFOFtoCNF_C_1
    | open(skolemFOFtoCNF_Cpp) ),
    inference(resolve,[$cnf( part_of(skolemFOFtoCNF_Cpp,skolemFOFtoCNF_C_1) )],[refute_0_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    skolemFOFtoCNF_Cpp = skolemFOFtoCNF_C_1,
    inference(resolve,[$cnf( open(skolemFOFtoCNF_Cpp) )],[refute_0_4,refute_0_0]) ).

cnf(refute_0_6,plain,
    ( skolemFOFtoCNF_Cpp != skolemFOFtoCNF_C_1
    | ~ open(skolemFOFtoCNF_C_1)
    | open(skolemFOFtoCNF_Cpp) ),
    introduced(tautology,[equality,[$cnf( ~ open(skolemFOFtoCNF_Cpp) ),[0],$fot(skolemFOFtoCNF_C_1)]]) ).

cnf(refute_0_7,plain,
    ( ~ open(skolemFOFtoCNF_C_1)
    | open(skolemFOFtoCNF_Cpp) ),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Cpp,skolemFOFtoCNF_C_1) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    ~ open(skolemFOFtoCNF_C_1),
    inference(resolve,[$cnf( open(skolemFOFtoCNF_Cpp) )],[refute_0_7,refute_0_0]) ).

cnf(refute_0_9,plain,
    open(skolemFOFtoCNF_C_1),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( open(skolemFOFtoCNF_C_1) )],[refute_0_9,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 13:52:18 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.38  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.38  
% 0.19/0.38  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.38  
%------------------------------------------------------------------------------