TSTP Solution File: LCL644+1.001 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n008.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 12:53:38 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    5 (   2 unt;   0 def)
%            Number of atoms       :  161 (   0 equ)
%            Maximal formula atoms :   53 (  32 avg)
%            Number of connectives :  260 ( 104   ~; 100   |;  52   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (  15 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   60 (   0 sgn  59   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X] :
        ~ ( ~ ( ! [Y] :
                  ( ~ r1(X,Y)
                  | ~ ( p2(Y)
                      & ! [X] :
                          ( ~ r1(Y,X)
                          | p2(X) ) )
                  | p1(Y) )
              | ! [Y] :
                  ( ~ r1(X,Y)
                  | p2(Y)
                  | ~ ( p1(Y)
                      & ! [X] :
                          ( ~ r1(Y,X)
                          | p1(X) )
                      & p1(Y) ) )
              | ~ ( ! [Y] :
                      ( ~ r1(X,Y)
                      | ! [X] :
                          ( ~ r1(Y,X)
                          | ~ ( p2(X)
                              & ! [Y] :
                                  ( ~ r1(X,Y)
                                  | p2(Y) ) )
                          | p1(X) )
                      | p2(Y)
                      | ~ ( p1(Y)
                          & ! [X] :
                              ( ~ r1(Y,X)
                              | p1(X) )
                          & p1(Y) ) )
                  & ! [Y] :
                      ( ~ r1(X,Y)
                      | ~ ( p2(Y)
                          & ! [X] :
                              ( ~ r1(Y,X)
                              | p2(X) ) )
                      | p1(Y)
                      | ! [X] :
                          ( ~ r1(Y,X)
                          | p2(X)
                          | ~ ( p1(X)
                              & ! [Y] :
                                  ( ~ r1(X,Y)
                                  | p1(Y) )
                              & p1(X) ) ) )
                  & ! [Y] :
                      ( ~ r1(X,Y)
                      | ~ ( p2(Y)
                          & ! [X] :
                              ( ~ r1(Y,X)
                              | p2(X) ) )
                      | p1(Y)
                      | p2(Y)
                      | ~ ( p1(Y)
                          & ! [X] :
                              ( ~ r1(Y,X)
                              | p1(X) )
                          & p1(Y) ) ) ) )
          | ! [Y] :
              ( ~ r1(X,Y)
              | p1(Y)
              | ~ ( ! [X] :
                      ( ~ r1(Y,X)
                      | p1(X) )
                  & p1(Y) ) )
          | ! [Y] :
              ( ~ r1(X,Y)
              | p1(Y)
              | ~ ( ! [X] :
                      ( ~ r1(Y,X)
                      | p1(X) )
                  & p1(Y) ) ) ) ).

fof(subgoal_0,plain,
    ! [X] :
      ( ( ~ ~ ( ! [Y] :
                  ( ~ r1(X,Y)
                  | ~ ( p2(Y)
                      & ! [X] :
                          ( ~ r1(Y,X)
                          | p2(X) ) )
                  | p1(Y) )
              | ! [Y] :
                  ( ~ r1(X,Y)
                  | p2(Y)
                  | ~ ( p1(Y)
                      & ! [X] :
                          ( ~ r1(Y,X)
                          | p1(X) )
                      & p1(Y) ) )
              | ~ ( ! [Y] :
                      ( ~ r1(X,Y)
                      | ! [X] :
                          ( ~ r1(Y,X)
                          | ~ ( p2(X)
                              & ! [Y] :
                                  ( ~ r1(X,Y)
                                  | p2(Y) ) )
                          | p1(X) )
                      | p2(Y)
                      | ~ ( p1(Y)
                          & ! [X] :
                              ( ~ r1(Y,X)
                              | p1(X) )
                          & p1(Y) ) )
                  & ! [Y] :
                      ( ~ r1(X,Y)
                      | ~ ( p2(Y)
                          & ! [X] :
                              ( ~ r1(Y,X)
                              | p2(X) ) )
                      | p1(Y)
                      | ! [X] :
                          ( ~ r1(Y,X)
                          | p2(X)
                          | ~ ( p1(X)
                              & ! [Y] :
                                  ( ~ r1(X,Y)
                                  | p1(Y) )
                              & p1(X) ) ) )
                  & ! [Y] :
                      ( ~ r1(X,Y)
                      | ~ ( p2(Y)
                          & ! [X] :
                              ( ~ r1(Y,X)
                              | p2(X) ) )
                      | p1(Y)
                      | p2(Y)
                      | ~ ( p1(Y)
                          & ! [X] :
                              ( ~ r1(Y,X)
                              | p1(X) )
                          & p1(Y) ) ) ) )
        & ~ ! [Y] :
              ( ~ r1(X,Y)
              | p1(Y)
              | ~ ( ! [X] :
                      ( ~ r1(Y,X)
                      | p1(X) )
                  & p1(Y) ) ) )
     => ! [Y] :
          ( ( ~ ~ r1(X,Y)
            & ~ p1(Y)
            & ! [X] :
                ( ~ r1(Y,X)
                | p1(X) ) )
         => ~ p1(Y) ) ),
    inference(strip,[],[main]) ).

fof(negate_0_0,plain,
    ~ ! [X] :
        ( ( ~ ~ ( ! [Y] :
                    ( ~ r1(X,Y)
                    | ~ ( p2(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p2(X) ) )
                    | p1(Y) )
                | ! [Y] :
                    ( ~ r1(X,Y)
                    | p2(Y)
                    | ~ ( p1(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p1(X) )
                        & p1(Y) ) )
                | ~ ( ! [Y] :
                        ( ~ r1(X,Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | ~ ( p2(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p2(Y) ) )
                            | p1(X) )
                        | p2(Y)
                        | ~ ( p1(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p1(X) )
                            & p1(Y) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p2(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p2(X) ) )
                        | p1(Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | p2(X)
                            | ~ ( p1(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p1(Y) )
                                & p1(X) ) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p2(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p2(X) ) )
                        | p1(Y)
                        | p2(Y)
                        | ~ ( p1(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p1(X) )
                            & p1(Y) ) ) ) )
          & ~ ! [Y] :
                ( ~ r1(X,Y)
                | p1(Y)
                | ~ ( ! [X] :
                        ( ~ r1(Y,X)
                        | p1(X) )
                    & p1(Y) ) ) )
       => ! [Y] :
            ( ( ~ ~ r1(X,Y)
              & ~ p1(Y)
              & ! [X] :
                  ( ~ r1(Y,X)
                  | p1(X) ) )
           => ~ p1(Y) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    $false,
    inference(canonicalize,[],[negate_0_0]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n008.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 : Sun Jul  3 21:59:53 EDT 2022
% 0.12/0.34  % 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
% 0.12/0.35  
%------------------------------------------------------------------------------