TSTP Solution File: SYN996^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN996^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.k5hZYP3Z2X true

% 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  : 300s
% DateTime : Fri Sep  1 04:06:36 EDT 2023

% Result   : Theorem 0.23s 0.74s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :   23 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   61 (   5   ~;   0   |;   0   &;  43   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   3 con; 0-2 aty)
%                                         (   5  !!;   5  ??;   0 @@+;   0 @@-)
%            Number of variables   :   22 (  10   ^;   8   !;   4   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(r_type,type,
    r: $i > $i > $o ).

thf('#sk3_type',type,
    '#sk3': ( $i > $i ) > $i ).

thf('#sk1_type',type,
    '#sk1': $i > $i ).

thf(conj,conjecture,
    ( ! [X: $i] :
      ? [Y: $i] : ( r @ X @ Y )
   => ? [F: $i > $i] :
      ! [X: $i] : ( r @ X @ ( F @ X ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X: $i] :
        ? [Y: $i] : ( r @ X @ Y )
     => ? [F: $i > $i] :
        ! [X: $i] : ( r @ X @ ( F @ X ) ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i] : ( r @ Y0 @ Y1 ) ) )
     => ( ??
        @ ^ [Y0: $i > $i] :
            ( !!
            @ ^ [Y1: $i] : ( r @ Y1 @ ( Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i] :
          ( !!
          @ ^ [Y1: $i] : ( r @ Y1 @ ( Y0 @ Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i > $i] :
      ~ ( !!
        @ ^ [Y0: $i] : ( r @ Y0 @ ( X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i > $i] :
      ~ ( r @ ( '#sk3' @ X2 ) @ ( X2 @ ( '#sk3' @ X2 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i] : ( r @ Y0 @ Y1 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( ??
      @ ^ [Y0: $i] : ( r @ X2 @ Y0 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] : ( r @ X2 @ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SYN996^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.k5hZYP3Z2X true
% 0.16/0.36  % Computer : n029.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Sat Aug 26 20:26:55 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.16/0.37  % Running portfolio for 300 s
% 0.16/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.37  % Running in HO mode
% 0.23/0.59  % Total configuration time : 828
% 0.23/0.59  % Estimated wc time : 1656
% 0.23/0.59  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.69  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.71  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.74  % Solved by lams/35_full_unif4.sh.
% 0.23/0.74  % done 1 iterations in 0.008s
% 0.23/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.23/0.74  % SZS output start Refutation
% See solution above
% 0.23/0.74  
% 0.23/0.74  
% 0.23/0.74  % Terminating...
% 0.23/0.80  % Runner terminated.
% 0.23/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------