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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN359+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BXwNgGotgx true

% Computer : n016.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 Oct  2 05:04:36 PM UTC 2025

% Result   : Theorem 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   63 (   6   ~;   3   |;   6   &;  42   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  12   !;   8   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_r_type,type,
    big_r: $i > $o ).

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

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

thf(big_q_type,type,
    big_q: $i > $i > $o ).

thf(x2110,conjecture,
    ( ( ? [X: $i] : ( big_r @ X )
      & ! [Y: $i] :
          ( ( big_r @ Y )
         => ? [Z: $i] : ( big_q @ Y @ Z ) )
      & ! [X: $i,Y: $i] :
          ( ( big_q @ X @ Y )
         => ( big_q @ X @ X ) ) )
   => ? [X: $i,Y: $i] :
        ( ( big_r @ Y )
        & ( big_q @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ? [X: $i] : ( big_r @ X )
        & ! [Y: $i] :
            ( ( big_r @ Y )
           => ? [Z: $i] : ( big_q @ Y @ Z ) )
        & ! [X: $i,Y: $i] :
            ( ( big_q @ X @ Y )
           => ( big_q @ X @ X ) ) )
     => ? [X: $i,Y: $i] :
          ( ( big_r @ Y )
          & ( big_q @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[x2110]) ).

thf(zip_derived_cl0,plain,
    big_r @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( big_q @ X0 @ ( sk_ @ X0 ) )
      | ~ ( big_r @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    big_q @ sk__1 @ ( sk_ @ sk__1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X1: $i,X2: $i] :
      ( ( big_q @ X1 @ X1 )
      | ~ ( big_q @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    big_q @ sk__1 @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl0_001,plain,
    big_r @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X3: $i,X4: $i] :
      ( ~ ( big_r @ X3 )
      | ~ ( big_q @ X4 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ~ ( big_q @ X0 @ sk__1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : SYN359+1 : TPTP v9.2.0. Released v2.0.0.
% 0.02/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BXwNgGotgx true
% 0.13/0.34  % Computer : n016.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 : Wed Oct  1 13:43:53 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % Solved by fo/fo6_bce.sh.
% 0.55/0.73  % BCE start: 4
% 0.55/0.73  % BCE eliminated: 0
% 0.55/0.73  % PE start: 4
% 0.55/0.73  logic: neq
% 0.55/0.73  % PE eliminated: 1
% 0.55/0.73  % done 3 iterations in 0.008s
% 0.55/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.73  % SZS output start Refutation
% See solution above
% 0.55/0.73  
% 0.55/0.73  
% 0.55/0.73  % Terminating...
% 1.52/0.85  % Runner terminated.
% 1.52/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------