%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 : Sun Jul 17 12:55:02 EDT 2022

% Result   : Theorem 0.14s 0.34s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   52 (  31   ~;  19   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 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   :   24 (   1 sgn  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
    ! [X] : r1(X,X) ).

fof(main,conjecture,
    ~ ? [X] :
        ~ ( $false
          | ~ ! [Y] :
                ( ~ r1(X,Y)
                | $false
                | ~ ! [X] :
                      ( ~ r1(Y,X)
                      | ! [Y] :
                          ( ~ r1(X,Y)
                          | p1(Y) )
                      | ~ ! [Y] :
                            ( ~ r1(X,Y)
                            | p1(Y) ) ) ) ) ).

fof(subgoal_0,plain,
    ! [X] :
      ( ~ $false
     => ~ ! [Y] :
            ( ~ r1(X,Y)
            | $false
            | ~ ! [X] :
                  ( ~ r1(Y,X)
                  | ! [Y] :
                      ( ~ r1(X,Y)
                      | p1(Y) )
                  | ~ ! [Y] :
                        ( ~ r1(X,Y)
                        | p1(Y) ) ) ) ),
    inference(strip,[],[main]) ).

fof(negate_0_0,plain,
    ~ ! [X] :
        ( ~ $false
       => ~ ! [Y] :
              ( ~ r1(X,Y)
              | $false
              | ~ ! [X] :
                    ( ~ r1(Y,X)
                    | ! [Y] :
                        ( ~ r1(X,Y)
                        | p1(Y) )
                    | ~ ! [Y] :
                          ( ~ r1(X,Y)
                          | p1(Y) ) ) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [X] : r1(X,X),
    inference(canonicalize,[],[reflexivity]) ).

fof(normalize_0_1,plain,
    ! [X] : r1(X,X),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ? [X] :
    ! [Y] : ~ r1(X,Y),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_3,plain,
    ! [Y] : ~ r1(skolemFOFtoCNF_X,Y),
    inference(skolemize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [Y] : ~ r1(skolemFOFtoCNF_X,Y),
    inference(specialize,[],[normalize_0_3]) ).

cnf(refute_0_0,plain,
    r1(X,X),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
    inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_2,plain,
    ~ r1(skolemFOFtoCNF_X,Y),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_3,plain,
    ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
    inference(subst,[],[refute_0_2:[bind(Y,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_1,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul  3 07:21:43 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  
% 0.14/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.35  
%------------------------------------------------------------------------------