%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN057+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %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  : 600s
% DateTime : Thu Jul 21 08:59:04 EDT 2022

% Result   : Theorem 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   41 (  13 unt;   0 def)
%            Number of atoms       :   85 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   85 (  41   ~;  30   |;   7   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   25 (   0 sgn  14   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel27_1,axiom,
    ? [X] :
      ( big_f(X)
      & ~ big_g(X) ) ).

fof(pel27_2,axiom,
    ! [X] :
      ( big_f(X)
     => big_h(X) ) ).

fof(pel27_3,axiom,
    ! [X] :
      ( ( big_j(X)
        & big_i(X) )
     => big_f(X) ) ).

fof(pel27_4,axiom,
    ( ? [X] :
        ( big_h(X)
        & ~ big_g(X) )
   => ! [X1] :
        ( big_i(X1)
       => ~ big_h(X1) ) ) ).

fof(pel27,conjecture,
    ! [X] :
      ( big_j(X)
     => ~ big_i(X) ) ).

fof(subgoal_0,plain,
    ! [X] :
      ( big_j(X)
     => ~ big_i(X) ),
    inference(strip,[],[pel27]) ).

fof(negate_0_0,plain,
    ~ ! [X] :
        ( big_j(X)
       => ~ big_i(X) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [X] :
      ( ~ big_g(X)
      & big_f(X) ),
    inference(canonicalize,[],[pel27_1]) ).

fof(normalize_0_1,plain,
    ( ~ big_g(skolemFOFtoCNF_X)
    & big_f(skolemFOFtoCNF_X) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    big_f(skolemFOFtoCNF_X),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X] :
      ( ~ big_f(X)
      | big_h(X) ),
    inference(canonicalize,[],[pel27_2]) ).

fof(normalize_0_4,plain,
    ! [X] :
      ( ~ big_f(X)
      | big_h(X) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ? [X] :
      ( big_i(X)
      & big_j(X) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_6,plain,
    ( big_i(skolemFOFtoCNF_X_1)
    & big_j(skolemFOFtoCNF_X_1) ),
    inference(skolemize,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    big_i(skolemFOFtoCNF_X_1),
    inference(conjunct,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ( ! [X] :
        ( ~ big_h(X)
        | big_g(X) )
    | ! [X1] :
        ( ~ big_h(X1)
        | ~ big_i(X1) ) ),
    inference(canonicalize,[],[pel27_4]) ).

fof(normalize_0_9,plain,
    ! [X,X1] :
      ( ~ big_h(X)
      | ~ big_h(X1)
      | ~ big_i(X1)
      | big_g(X) ),
    inference(clausify,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    big_j(skolemFOFtoCNF_X_1),
    inference(conjunct,[],[normalize_0_6]) ).

fof(normalize_0_11,plain,
    ! [X] :
      ( ~ big_i(X)
      | ~ big_j(X)
      | big_f(X) ),
    inference(canonicalize,[],[pel27_3]) ).

fof(normalize_0_12,plain,
    ! [X] :
      ( ~ big_i(X)
      | ~ big_j(X)
      | big_f(X) ),
    inference(specialize,[],[normalize_0_11]) ).

fof(normalize_0_13,plain,
    ~ big_g(skolemFOFtoCNF_X),
    inference(conjunct,[],[normalize_0_1]) ).

cnf(refute_0_0,plain,
    big_f(skolemFOFtoCNF_X),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ( ~ big_f(X)
    | big_h(X) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ( ~ big_f(skolemFOFtoCNF_X)
    | big_h(skolemFOFtoCNF_X) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_3,plain,
    big_h(skolemFOFtoCNF_X),
    inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    big_i(skolemFOFtoCNF_X_1),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_5,plain,
    ( ~ big_h(X)
    | ~ big_h(X1)
    | ~ big_i(X1)
    | big_g(X) ),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_6,plain,
    ( ~ big_h(X_2)
    | ~ big_h(skolemFOFtoCNF_X_1)
    | ~ big_i(skolemFOFtoCNF_X_1)
    | big_g(X_2) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(X_2)),bind(X1,$fot(skolemFOFtoCNF_X_1))]]) ).

cnf(refute_0_7,plain,
    ( ~ big_h(X_2)
    | ~ big_h(skolemFOFtoCNF_X_1)
    | big_g(X_2) ),
    inference(resolve,[$cnf( big_i(skolemFOFtoCNF_X_1) )],[refute_0_4,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ big_f(skolemFOFtoCNF_X_1)
    | big_h(skolemFOFtoCNF_X_1) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).

cnf(refute_0_9,plain,
    big_j(skolemFOFtoCNF_X_1),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_10,plain,
    ( ~ big_i(X)
    | ~ big_j(X)
    | big_f(X) ),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_11,plain,
    ( ~ big_i(skolemFOFtoCNF_X_1)
    | ~ big_j(skolemFOFtoCNF_X_1)
    | big_f(skolemFOFtoCNF_X_1) ),
    inference(subst,[],[refute_0_10:[bind(X,$fot(skolemFOFtoCNF_X_1))]]) ).

cnf(refute_0_12,plain,
    ( ~ big_i(skolemFOFtoCNF_X_1)
    | big_f(skolemFOFtoCNF_X_1) ),
    inference(resolve,[$cnf( big_j(skolemFOFtoCNF_X_1) )],[refute_0_9,refute_0_11]) ).

cnf(refute_0_13,plain,
    big_f(skolemFOFtoCNF_X_1),
    inference(resolve,[$cnf( big_i(skolemFOFtoCNF_X_1) )],[refute_0_4,refute_0_12]) ).

cnf(refute_0_14,plain,
    big_h(skolemFOFtoCNF_X_1),
    inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X_1) )],[refute_0_13,refute_0_8]) ).

cnf(refute_0_15,plain,
    ( ~ big_h(X_2)
    | big_g(X_2) ),
    inference(resolve,[$cnf( big_h(skolemFOFtoCNF_X_1) )],[refute_0_14,refute_0_7]) ).

cnf(refute_0_16,plain,
    ( ~ big_h(skolemFOFtoCNF_X)
    | big_g(skolemFOFtoCNF_X) ),
    inference(subst,[],[refute_0_15:[bind(X_2,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_17,plain,
    big_g(skolemFOFtoCNF_X),
    inference(resolve,[$cnf( big_h(skolemFOFtoCNF_X) )],[refute_0_3,refute_0_16]) ).

cnf(refute_0_18,plain,
    ~ big_g(skolemFOFtoCNF_X),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_19,plain,
    $false,
    inference(resolve,[$cnf( big_g(skolemFOFtoCNF_X) )],[refute_0_17,refute_0_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN057+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 01:38:58 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------