TSTP Solution File: LCL638+1.001 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KXUe94Vo8F true

% Computer : n024.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  : 300s
% DateTime : Thu Aug 31 09:00:29 EDT 2023

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   42 (  19 unt;   7 typ;   0 def)
%            Number of atoms       :  125 (   0 equ;   0 cnn)
%            Maximal formula atoms :   30 (   3 avg)
%            Number of connectives :  453 ( 119   ~;  82   |;   8   &; 244   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   59 (   0   ^;  57   !;   2   ?;  59   :)

% Comments : 
%------------------------------------------------------------------------------
thf(r1_type,type,
    r1: $i > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__6_type,type,
    sk__6: $i > $i ).

thf(sk__type,type,
    sk_: $i ).

thf(sk__5_type,type,
    sk__5: $i > $i ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(p1_type,type,
    p1: $i > $o ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ~ ! [Y: $i] :
                ( ~ ( ~ ! [X: $i] :
                          ( ~ ! [Y: $i] :
                                ( ( p1 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                    & ~ ( p1 @ Y ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ( ~ ! [X: $i] :
                          ( ~ ! [Y: $i] :
                                ( ~ ( p1 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                    & ( p1 @ Y ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ( ~ ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ! [X: $i] :
                                    ( ~ ( p1 @ X )
                                    | ~ ( r1 @ Y @ X ) )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                    & ! [X: $i] :
                        ( ~ ! [Y: $i] :
                              ( ~ ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ( ~ ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                    & ! [X: $i] :
                        ( ( p1 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ! [X: $i] :
                      ~ ( r1 @ Y @ X )
                | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ~ ! [X: $i] :
                    ( ( p1 @ X )
                    | ~ ( r1 @ Y @ X ) )
              | ( p1 @ Y )
              | ~ ( r1 @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ~ ! [Y: $i] :
              ( ~ ( ~ ! [X: $i] :
                        ( ~ ! [Y: $i] :
                              ( ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                  & ~ ( p1 @ Y ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ( ~ ! [X: $i] :
                        ( ~ ! [Y: $i] :
                              ( ~ ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                  & ( p1 @ Y ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ( ~ ! [X: $i] :
                        ( ! [Y: $i] :
                            ( ~ ! [X: $i] :
                                  ( ~ ( p1 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                            | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                  & ! [X: $i] :
                      ( ~ ! [Y: $i] :
                            ( ~ ( p1 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                      | ~ ( r1 @ Y @ X ) ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ( ~ ! [X: $i] :
                        ( ! [Y: $i] :
                            ( ( p1 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                  & ! [X: $i] :
                      ( ( p1 @ X )
                      | ~ ( r1 @ Y @ X ) ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ! [X: $i] :
                    ~ ( r1 @ Y @ X )
              | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ~ ! [X: $i] :
                  ( ( p1 @ X )
                  | ~ ( r1 @ Y @ X ) )
            | ( p1 @ Y )
            | ~ ( r1 @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl2,plain,
    r1 @ sk_ @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X1: $i] :
      ( ( r1 @ X1 @ ( sk__6 @ X1 ) )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    r1 @ sk__7 @ ( sk__6 @ sk__7 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl12,plain,
    ! [X11: $i,X12: $i] :
      ( ( p1 @ X11 )
      | ~ ( r1 @ X11 @ X12 )
      | ~ ( p1 @ ( sk__1 @ X12 ) )
      | ~ ( r1 @ sk_ @ X11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ( ~ ( r1 @ sk_ @ sk__7 )
    | ~ ( p1 @ ( sk__1 @ ( sk__6 @ sk__7 ) ) )
    | ( p1 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).

thf(zip_derived_cl2_001,plain,
    r1 @ sk_ @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( p1 @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ~ ( p1 @ ( sk__1 @ ( sk__6 @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl14_002,plain,
    r1 @ sk__7 @ ( sk__6 @ sk__7 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ~ ( p1 @ ( sk__5 @ X2 ) )
      | ~ ( r1 @ X2 @ X3 )
      | ( p1 @ X4 )
      | ~ ( r1 @ X3 @ X4 )
      | ~ ( r1 @ sk_ @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ sk__7 )
      | ~ ( r1 @ ( sk__6 @ sk__7 ) @ X0 )
      | ( p1 @ X0 )
      | ~ ( p1 @ ( sk__5 @ sk__7 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).

thf(zip_derived_cl2_003,plain,
    r1 @ sk_ @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__6 @ sk__7 ) @ X0 )
      | ( p1 @ X0 )
      | ~ ( p1 @ ( sk__5 @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl14_004,plain,
    r1 @ sk__7 @ ( sk__6 @ sk__7 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ( r1 @ X2 @ ( sk__5 @ X2 ) )
      | ~ ( r1 @ X2 @ X3 )
      | ( p1 @ X4 )
      | ~ ( r1 @ X3 @ X4 )
      | ~ ( r1 @ sk_ @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ sk__7 )
      | ~ ( r1 @ ( sk__6 @ sk__7 ) @ X0 )
      | ( p1 @ X0 )
      | ( r1 @ sk__7 @ ( sk__5 @ sk__7 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl5]) ).

thf(zip_derived_cl2_005,plain,
    r1 @ sk_ @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__6 @ sk__7 ) @ X0 )
      | ( p1 @ X0 )
      | ( r1 @ sk__7 @ ( sk__5 @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl2]) ).

thf(zip_derived_cl14_006,plain,
    r1 @ sk__7 @ ( sk__6 @ sk__7 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl13,plain,
    ! [X11: $i,X12: $i] :
      ( ( p1 @ X11 )
      | ~ ( r1 @ X11 @ X12 )
      | ( r1 @ X12 @ ( sk__1 @ X12 ) )
      | ~ ( r1 @ sk_ @ X11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ~ ( r1 @ sk_ @ sk__7 )
    | ( r1 @ ( sk__6 @ sk__7 ) @ ( sk__1 @ ( sk__6 @ sk__7 ) ) )
    | ( p1 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl13]) ).

thf(zip_derived_cl2_007,plain,
    r1 @ sk_ @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_008,plain,
    ~ ( p1 @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    r1 @ ( sk__6 @ sk__7 ) @ ( sk__1 @ ( sk__6 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl69,plain,
    ( ( r1 @ sk__7 @ ( sk__5 @ sk__7 ) )
    | ( p1 @ ( sk__1 @ ( sk__6 @ sk__7 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl59]) ).

thf(zip_derived_cl25_009,plain,
    ~ ( p1 @ ( sk__1 @ ( sk__6 @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl70,plain,
    r1 @ sk__7 @ ( sk__5 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl25]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( p1 @ X0 )
      | ~ ( r1 @ sk__7 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82,plain,
    p1 @ ( sk__5 @ sk__7 ),
    inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl0]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__6 @ sk__7 ) @ X0 )
      | ( p1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl82]) ).

thf(zip_derived_cl59_010,plain,
    r1 @ ( sk__6 @ sk__7 ) @ ( sk__1 @ ( sk__6 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl95,plain,
    p1 @ ( sk__1 @ ( sk__6 @ sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl90,zip_derived_cl59]) ).

thf(zip_derived_cl98,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl95]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KXUe94Vo8F true
% 0.13/0.34  % Computer : n024.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  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 21:25:09 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.50/0.64  % Total configuration time : 435
% 0.50/0.64  % Estimated wc time : 1092
% 0.50/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74  % Solved by fo/fo3_bce.sh.
% 0.56/0.74  % BCE start: 14
% 0.56/0.74  % BCE eliminated: 0
% 0.56/0.74  % PE start: 14
% 0.56/0.74  logic: neq
% 0.56/0.74  % PE eliminated: 0
% 0.56/0.74  % done 42 iterations in 0.021s
% 0.56/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.74  % SZS output start Refutation
% See solution above
% 0.56/0.74  
% 0.56/0.74  
% 0.56/0.74  % Terminating...
% 0.61/0.85  % Runner terminated.
% 0.61/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------