TSTP Solution File: SYN368+1 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN368+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 09:01:50 EDT 2022

% Result   : Theorem 0.11s 0.33s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   0   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   12 (   1 sgn   6   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(x2119,conjecture,
    ? [Y] :
    ! [X] :
      ( big_p(Y)
     => big_p(X) ) ).

fof(subgoal_0,plain,
    ? [Y] :
    ! [X] :
      ( big_p(Y)
     => big_p(X) ),
    inference(strip,[],[x2119]) ).

fof(negate_0_0,plain,
    ~ ? [Y] :
      ! [X] :
        ( big_p(Y)
       => big_p(X) ),
    inference(negate,[],[subgoal_0]) ).

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

fof(normalize_0_1,plain,
    ? [X] : ~ big_p(X),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ~ big_p(skolemFOFtoCNF_X),
    inference(skolemize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [Y] : big_p(Y),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_4,plain,
    ! [Y] : big_p(Y),
    inference(specialize,[],[normalize_0_3]) ).

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

cnf(refute_0_1,plain,
    big_p(Y),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    big_p(skolemFOFtoCNF_X),
    inference(subst,[],[refute_0_1:[bind(Y,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_3,plain,
    $false,
    inference(resolve,[$cnf( big_p(skolemFOFtoCNF_X) )],[refute_0_2,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN368+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12  % Command  : metis --show proof --show saturation %s
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Mon Jul 11 19:12:13 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.11/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.33  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33  
% 0.11/0.33  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.11/0.33  
%------------------------------------------------------------------------------