%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN379+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 09:01:56 EDT 2022

% Result   : Theorem 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   23 (  11   ~;   0   |;   6   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   39 (   5 sgn  29   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(x2131,conjecture,
    ( ! [X] : big_p(X)
   => ? [Y] :
        ( ! [X,Z] : big_q(X,Y,Z)
       => ~ ! [Z] :
              ( big_p(Z)
              & ~ big_q(Y,Y,Z) ) ) ) ).

fof(subgoal_0,plain,
    ( ! [X] : big_p(X)
   => ? [Y] :
        ( ! [X,Z] : big_q(X,Y,Z)
       => ~ ! [Z] :
              ( big_p(Z)
              & ~ big_q(Y,Y,Z) ) ) ),
    inference(strip,[],[x2131]) ).

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

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

fof(normalize_0_1,plain,
    ! [Y,Z] : ~ big_q(Y,Y,Z),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [Y,Z] : ~ big_q(Y,Y,Z),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y,Z] : big_q(X,Y,Z),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_4,plain,
    ! [X,Y,Z] : big_q(X,Y,Z),
    inference(specialize,[],[normalize_0_3]) ).

cnf(refute_0_0,plain,
    ~ big_q(Y,Y,Z),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    big_q(X,Y,Z),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    big_q(Y,Y,Z),
    inference(subst,[],[refute_0_1:[bind(X,$fot(Y))]]) ).

cnf(refute_0_3,plain,
    $false,
    inference(resolve,[$cnf( big_q(Y,Y,Z) )],[refute_0_2,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN379+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n025.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 04:01:17 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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  
%------------------------------------------------------------------------------