%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO080+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %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  : 600s
% DateTime : Sat Jul 16 05:24:07 EDT 2022

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   32 (  14   ~;  10   |;   4   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 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   :   27 (   0 sgn  17   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(part_of_defn,axiom,
    ! [C,C1] :
      ( part_of(C1,C)
    <=> ! [P] :
          ( incident_c(P,C1)
         => incident_c(P,C) ) ) ).

fof(prove_reflexivity,conjecture,
    ! [C] : part_of(C,C) ).

fof(subgoal_0,plain,
    ! [C] : part_of(C,C),
    inference(strip,[],[prove_reflexivity]) ).

fof(negate_0_0,plain,
    ~ ! [C] : part_of(C,C),
    inference(negate,[],[subgoal_0]) ).

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

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

fof(normalize_0_2,plain,
    ! [C,C1] :
      ( ~ part_of(C1,C)
    <=> ? [P] :
          ( ~ incident_c(P,C)
          & incident_c(P,C1) ) ),
    inference(canonicalize,[],[part_of_defn]) ).

fof(normalize_0_3,plain,
    ! [C,C1] :
      ( ~ part_of(C1,C)
    <=> ? [P] :
          ( ~ incident_c(P,C)
          & incident_c(P,C1) ) ),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [C,C1,P] :
      ( ( ~ incident_c(skolemFOFtoCNF_P(C,C1),C)
        | part_of(C1,C) )
      & ( incident_c(skolemFOFtoCNF_P(C,C1),C1)
        | part_of(C1,C) )
      & ( ~ incident_c(P,C1)
        | ~ part_of(C1,C)
        | incident_c(P,C) ) ),
    inference(clausify,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [C,C1] :
      ( ~ incident_c(skolemFOFtoCNF_P(C,C1),C)
      | part_of(C1,C) ),
    inference(conjunct,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [C,C1] :
      ( incident_c(skolemFOFtoCNF_P(C,C1),C1)
      | part_of(C1,C) ),
    inference(conjunct,[],[normalize_0_4]) ).

cnf(refute_0_0,plain,
    ~ part_of(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ( ~ incident_c(skolemFOFtoCNF_P(C,C1),C)
    | part_of(C1,C) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_2,plain,
    ( ~ incident_c(skolemFOFtoCNF_P(X_19,X_19),X_19)
    | part_of(X_19,X_19) ),
    inference(subst,[],[refute_0_1:[bind(C,$fot(X_19)),bind(C1,$fot(X_19))]]) ).

cnf(refute_0_3,plain,
    ( incident_c(skolemFOFtoCNF_P(C,C1),C1)
    | part_of(C1,C) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_4,plain,
    ( incident_c(skolemFOFtoCNF_P(X_19,X_19),X_19)
    | part_of(X_19,X_19) ),
    inference(subst,[],[refute_0_3:[bind(C,$fot(X_19)),bind(C1,$fot(X_19))]]) ).

cnf(refute_0_5,plain,
    part_of(X_19,X_19),
    inference(resolve,[$cnf( incident_c(skolemFOFtoCNF_P(X_19,X_19),X_19) )],[refute_0_4,refute_0_2]) ).

cnf(refute_0_6,plain,
    part_of(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
    inference(subst,[],[refute_0_5:[bind(X_19,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( part_of(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_6,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO080+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 11:21:33 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  
% 0.13/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36  
%------------------------------------------------------------------------------