%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN970+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n022.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 09:12:31 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    :   17 (   9 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  10   ~;   5   |;   2   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   26 (   4 sgn  12   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ! [A,B] :
    ? [X,Y] :
      ( ( p(X)
       => r(Y) )
     => ( p(A)
       => r(B) ) ) ).

fof(subgoal_0,plain,
    ! [A,B] :
    ? [X,Y] :
      ( ( p(X)
       => r(Y) )
     => ( p(A)
       => r(B) ) ),
    inference(strip,[],[prove_this]) ).

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

fof(normalize_0_0,plain,
    ( ( ! [X] : ~ p(X)
      | ! [Y] : r(Y) )
    & ? [A] : p(A)
    & ? [B] : ~ r(B) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ? [B] : ~ r(B),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ~ r(skolemFOFtoCNF_B),
    inference(skolemize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ? [A] : p(A),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_4,plain,
    p(skolemFOFtoCNF_A),
    inference(skolemize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ( ! [X] : ~ p(X)
    | ! [Y] : r(Y) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_6,plain,
    ! [X,Y] :
      ( ~ p(X)
      | r(Y) ),
    inference(clausify,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    ~ r(skolemFOFtoCNF_B),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    p(skolemFOFtoCNF_A),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ( ~ p(X)
    | r(Y) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_3,plain,
    ( ~ p(skolemFOFtoCNF_A)
    | r(X_1) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_A)),bind(Y,$fot(X_1))]]) ).

cnf(refute_0_4,plain,
    r(X_1),
    inference(resolve,[$cnf( p(skolemFOFtoCNF_A) )],[refute_0_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    r(skolemFOFtoCNF_B),
    inference(subst,[],[refute_0_4:[bind(X_1,$fot(skolemFOFtoCNF_B))]]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( r(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN970+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n022.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 : Mon Jul 11 12:53:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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  
%------------------------------------------------------------------------------