%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN050+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n005.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 08:58:57 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   23 (  14 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   56 (  19   ~;  13   |;  15   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   51 (   8 sgn  29   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel20,conjecture,
    ( ! [X,Y] :
      ? [Z] :
      ! [W] :
        ( ( big_p(X)
          & big_q(Y) )
       => ( big_r(Z)
          & big_s(W) ) )
   => ? [X1,Y1] :
        ( ( big_p(X1)
          & big_q(Y1) )
       => ? [Z1] : big_r(Z1) ) ) ).

fof(subgoal_0,plain,
    ( ! [X,Y] :
      ? [Z] :
      ! [W] :
        ( ( big_p(X)
          & big_q(Y) )
       => ( big_r(Z)
          & big_s(W) ) )
   => ? [X1,Y1] :
        ( ( big_p(X1)
          & big_q(Y1) )
       => ? [Z1] : big_r(Z1) ) ),
    inference(strip,[],[pel20]) ).

fof(negate_0_0,plain,
    ~ ( ! [X,Y] :
        ? [Z] :
        ! [W] :
          ( ( big_p(X)
            & big_q(Y) )
         => ( big_r(Z)
            & big_s(W) ) )
     => ? [X1,Y1] :
          ( ( big_p(X1)
            & big_q(Y1) )
         => ? [Z1] : big_r(Z1) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ( ( ? [Z] : big_r(Z)
        & ! [W] : big_s(W) )
      | ! [X] : ~ big_p(X)
      | ! [Y] : ~ big_q(Y) )
    & ! [X1] : big_p(X1)
    & ! [Y1] : big_q(Y1)
    & ! [Z1] : ~ big_r(Z1) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( ( ? [Z] : big_r(Z)
      & ! [W] : big_s(W) )
    | ! [X] : ~ big_p(X)
    | ! [Y] : ~ big_q(Y) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [W,X,Y] :
      ( ( ~ big_p(X)
        | ~ big_q(Y)
        | big_r(skolemFOFtoCNF_Z) )
      & ( ~ big_p(X)
        | ~ big_q(Y)
        | big_s(W) ) ),
    inference(clausify,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y] :
      ( ~ big_p(X)
      | ~ big_q(Y)
      | big_r(skolemFOFtoCNF_Z) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X1] : big_p(X1),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_5,plain,
    ! [X1] : big_p(X1),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [Y1] : big_q(Y1),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_7,plain,
    ! [Y1] : big_q(Y1),
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [Z1] : ~ big_r(Z1),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_9,plain,
    ! [Z1] : ~ big_r(Z1),
    inference(specialize,[],[normalize_0_8]) ).

cnf(refute_0_0,plain,
    ( ~ big_p(X)
    | ~ big_q(Y)
    | big_r(skolemFOFtoCNF_Z) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_1,plain,
    big_p(X1),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_2,plain,
    big_p(X),
    inference(subst,[],[refute_0_1:[bind(X1,$fot(X))]]) ).

cnf(refute_0_3,plain,
    ( ~ big_q(Y)
    | big_r(skolemFOFtoCNF_Z) ),
    inference(resolve,[$cnf( big_p(X) )],[refute_0_2,refute_0_0]) ).

cnf(refute_0_4,plain,
    big_q(Y1),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_5,plain,
    big_q(Y),
    inference(subst,[],[refute_0_4:[bind(Y1,$fot(Y))]]) ).

cnf(refute_0_6,plain,
    big_r(skolemFOFtoCNF_Z),
    inference(resolve,[$cnf( big_q(Y) )],[refute_0_5,refute_0_3]) ).

cnf(refute_0_7,plain,
    ~ big_r(Z1),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_8,plain,
    ~ big_r(skolemFOFtoCNF_Z),
    inference(subst,[],[refute_0_7:[bind(Z1,$fot(skolemFOFtoCNF_Z))]]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( big_r(skolemFOFtoCNF_Z) )],[refute_0_6,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN050+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 02:19:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------