%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN380+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 0.19s 0.35s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   43 (  19   ~;  10   |;   8   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   42 (   4 sgn  21   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(x2132,conjecture,
    ( ! [W] : ~ big_r(W,W)
   => ? [X,Y] :
        ( ~ big_r(X,Y)
        & ( big_q(Y,X)
         => ! [Z] : big_q(Z,Z) ) ) ) ).

fof(subgoal_0,plain,
    ( ! [W] : ~ big_r(W,W)
   => ? [X,Y] :
        ( ~ big_r(X,Y)
        & ( big_q(Y,X)
         => ! [Z] : big_q(Z,Z) ) ) ),
    inference(strip,[],[x2132]) ).

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

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

fof(normalize_0_1,plain,
    ! [W] : ~ big_r(W,W),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [W] : ~ big_r(W,W),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y] :
      ( big_r(X,Y)
      | ( big_q(Y,X)
        & ? [Z] : ~ big_q(Z,Z) ) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_4,plain,
    ! [X,Y] :
      ( big_r(X,Y)
      | ( big_q(Y,X)
        & ? [Z] : ~ big_q(Z,Z) ) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X,Y] :
      ( ( ~ big_q(skolemFOFtoCNF_Z,skolemFOFtoCNF_Z)
        | big_r(X,Y) )
      & ( big_q(Y,X)
        | big_r(X,Y) ) ),
    inference(clausify,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [X,Y] :
      ( ~ big_q(skolemFOFtoCNF_Z,skolemFOFtoCNF_Z)
      | big_r(X,Y) ),
    inference(conjunct,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    ! [X,Y] :
      ( big_q(Y,X)
      | big_r(X,Y) ),
    inference(conjunct,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    ~ big_r(W,W),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ~ big_r(X_7,X_7),
    inference(subst,[],[refute_0_0:[bind(W,$fot(X_7))]]) ).

cnf(refute_0_2,plain,
    ( ~ big_q(skolemFOFtoCNF_Z,skolemFOFtoCNF_Z)
    | big_r(X,Y) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_3,plain,
    ~ big_r(X_4,X_4),
    inference(subst,[],[refute_0_0:[bind(W,$fot(X_4))]]) ).

cnf(refute_0_4,plain,
    ( big_q(Y,X)
    | big_r(X,Y) ),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_5,plain,
    ( big_q(X_4,X_4)
    | big_r(X_4,X_4) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_4)),bind(Y,$fot(X_4))]]) ).

cnf(refute_0_6,plain,
    big_q(X_4,X_4),
    inference(resolve,[$cnf( big_r(X_4,X_4) )],[refute_0_5,refute_0_3]) ).

cnf(refute_0_7,plain,
    big_q(skolemFOFtoCNF_Z,skolemFOFtoCNF_Z),
    inference(subst,[],[refute_0_6:[bind(X_4,$fot(skolemFOFtoCNF_Z))]]) ).

cnf(refute_0_8,plain,
    big_r(X,Y),
    inference(resolve,[$cnf( big_q(skolemFOFtoCNF_Z,skolemFOFtoCNF_Z) )],[refute_0_7,refute_0_2]) ).

cnf(refute_0_9,plain,
    big_r(X_7,X_7),
    inference(subst,[],[refute_0_8:[bind(X,$fot(X_7)),bind(Y,$fot(X_7))]]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( big_r(X_7,X_7) )],[refute_0_9,refute_0_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN380+1 : TPTP v8.1.0. Released v2.0.0.
% 0.13/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n029.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 04:41:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  
% 0.19/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.35  
%------------------------------------------------------------------------------