TSTP Solution File: SYN058+1 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN058+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n012.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 08:59:05 EDT 2022

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   33 (  11 unt;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   69 (  27   ~;  22   |;  13   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   28 (   5 sgn  15   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel28_1,axiom,
    ! [X] :
      ( big_p(X)
     => ! [Z] : big_q(Z) ) ).

fof(pel28_2,axiom,
    ( ! [X] :
        ( big_q(X)
        | big_r(X) )
   => ? [X1] :
        ( big_q(X1)
        & big_s(X1) ) ) ).

fof(pel28_3,axiom,
    ( ? [X] : big_s(X)
   => ! [X1] :
        ( big_f(X1)
       => big_g(X1) ) ) ).

fof(pel28,conjecture,
    ! [X] :
      ( ( big_p(X)
        & big_f(X) )
     => big_g(X) ) ).

fof(subgoal_0,plain,
    ! [X] :
      ( ( big_p(X)
        & big_f(X) )
     => big_g(X) ),
    inference(strip,[],[pel28]) ).

fof(negate_0_0,plain,
    ~ ! [X] :
        ( ( big_p(X)
          & big_f(X) )
       => big_g(X) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [X] :
      ( ~ big_g(X)
      & big_f(X)
      & big_p(X) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( ~ big_g(skolemFOFtoCNF_X_1)
    & big_f(skolemFOFtoCNF_X_1)
    & big_p(skolemFOFtoCNF_X_1) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    big_f(skolemFOFtoCNF_X_1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ( ? [X] :
        ( ~ big_q(X)
        & ~ big_r(X) )
    | ? [X1] :
        ( big_q(X1)
        & big_s(X1) ) ),
    inference(canonicalize,[],[pel28_2]) ).

fof(normalize_0_4,plain,
    ( ( ~ big_q(skolemFOFtoCNF_X)
      | big_q(skolemFOFtoCNF_X1) )
    & ( ~ big_q(skolemFOFtoCNF_X)
      | big_s(skolemFOFtoCNF_X1) )
    & ( ~ big_r(skolemFOFtoCNF_X)
      | big_q(skolemFOFtoCNF_X1) )
    & ( ~ big_r(skolemFOFtoCNF_X)
      | big_s(skolemFOFtoCNF_X1) ) ),
    inference(clausify,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ( ~ big_q(skolemFOFtoCNF_X)
    | big_s(skolemFOFtoCNF_X1) ),
    inference(conjunct,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    big_p(skolemFOFtoCNF_X_1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_7,plain,
    ( ! [X] : ~ big_p(X)
    | ! [Z] : big_q(Z) ),
    inference(canonicalize,[],[pel28_1]) ).

fof(normalize_0_8,plain,
    ! [X,Z] :
      ( ~ big_p(X)
      | big_q(Z) ),
    inference(clausify,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ( ! [X] : ~ big_s(X)
    | ! [X1] :
        ( ~ big_f(X1)
        | big_g(X1) ) ),
    inference(canonicalize,[],[pel28_3]) ).

fof(normalize_0_10,plain,
    ! [X,X1] :
      ( ~ big_f(X1)
      | ~ big_s(X)
      | big_g(X1) ),
    inference(clausify,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ~ big_g(skolemFOFtoCNF_X_1),
    inference(conjunct,[],[normalize_0_1]) ).

cnf(refute_0_0,plain,
    big_f(skolemFOFtoCNF_X_1),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ( ~ big_q(skolemFOFtoCNF_X)
    | big_s(skolemFOFtoCNF_X1) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_2,plain,
    big_p(skolemFOFtoCNF_X_1),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_3,plain,
    ( ~ big_p(X)
    | big_q(Z) ),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_4,plain,
    ( ~ big_p(skolemFOFtoCNF_X_1)
    | big_q(X_1) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_X_1)),bind(Z,$fot(X_1))]]) ).

cnf(refute_0_5,plain,
    big_q(X_1),
    inference(resolve,[$cnf( big_p(skolemFOFtoCNF_X_1) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    big_q(skolemFOFtoCNF_X),
    inference(subst,[],[refute_0_5:[bind(X_1,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_7,plain,
    big_s(skolemFOFtoCNF_X1),
    inference(resolve,[$cnf( big_q(skolemFOFtoCNF_X) )],[refute_0_6,refute_0_1]) ).

cnf(refute_0_8,plain,
    ( ~ big_f(X1)
    | ~ big_s(X)
    | big_g(X1) ),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_9,plain,
    ( ~ big_f(X_4)
    | ~ big_s(skolemFOFtoCNF_X1)
    | big_g(X_4) ),
    inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(X_4))]]) ).

cnf(refute_0_10,plain,
    ( ~ big_f(X_4)
    | big_g(X_4) ),
    inference(resolve,[$cnf( big_s(skolemFOFtoCNF_X1) )],[refute_0_7,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ big_f(skolemFOFtoCNF_X_1)
    | big_g(skolemFOFtoCNF_X_1) ),
    inference(subst,[],[refute_0_10:[bind(X_4,$fot(skolemFOFtoCNF_X_1))]]) ).

cnf(refute_0_12,plain,
    big_g(skolemFOFtoCNF_X_1),
    inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X_1) )],[refute_0_0,refute_0_11]) ).

cnf(refute_0_13,plain,
    ~ big_g(skolemFOFtoCNF_X_1),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_14,plain,
    $false,
    inference(resolve,[$cnf( big_g(skolemFOFtoCNF_X_1) )],[refute_0_12,refute_0_13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN058+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n012.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 : Tue Jul 12 05:01:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------