TSTP Solution File: SYO206^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO206^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dz3X2Dy4z3 true

% Computer : n002.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 05:50:17 EDT 2023

% Result   : Theorem 1.44s 0.77s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   26 (   6 equ;   2 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   55 (  12   ~;   2   |;   0   &;  15   @)
%                                         (  23 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   1 usr;   5 con; 0-2 aty)
%                                         (   2  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   17 (   3   ^;  12   !;   2   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk1_type',type,
    '#sk1': $o > $o ).

thf(cCT265,conjecture,
    ? [Xx: $o] :
    ! [Xy: $o] :
      ( ( Xx
      <=> Xy )
    <=> ( Xy
      <=> Xx ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Xx: $o] :
      ! [Xy: $o] :
        ( ( Xx
        <=> Xy )
      <=> ( Xy
        <=> Xx ) ),
    inference('cnf.neg',[status(esa)],[cCT265]) ).

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

thf(zip_derived_cl1,plain,
    ! [X2: $o] :
      ~ ( !!
        @ ^ [Y0: $o] :
            ( ( X2
            <=> Y0 )
          <=> ( Y0
            <=> X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $o] :
      ~ ( ( X2
        <=> ( '#sk1' @ X2 ) )
      <=> ( ( '#sk1' @ X2 )
        <=> X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $o] :
      ( ( X2
      <=> ( '#sk1' @ X2 ) )
     != ( ( '#sk1' @ X2 )
      <=> X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl4_001,plain,
    ! [X2: $o] :
      ( ( X2
      <=> ( '#sk1' @ X2 ) )
     != ( ( '#sk1' @ X2 )
      <=> X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $o] :
      ( ( '#sk1' @ X2 )
      | ( ( X2
        <=> $false )
       != ( $false
        <=> X2 ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $o] :
      ( ( '#sk1' @ X2 )
      | ( ( (~) @ X2 )
       != ( (~) @ X2 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $o] : ( '#sk1' @ X2 ),
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl9_002,plain,
    ! [X2: $o] : ( '#sk1' @ X2 ),
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $o] :
      ( ( X2
      <=> $true )
     != ( $true
      <=> X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl9,zip_derived_cl9]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $o] : ( X2 != X2 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl16,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO206^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dz3X2Dy4z3 true
% 0.13/0.34  % Computer : n002.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 : Sat Aug 26 04:00:32 EDT 2023
% 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
% 0.19/0.34  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in HO mode
% 0.20/0.66  % Total configuration time : 828
% 0.20/0.66  % Estimated wc time : 1656
% 0.20/0.66  % Estimated cpu time (8 cpus) : 207.0
% 1.15/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.15/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.15/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.15/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.15/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.15/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.15/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.15/0.76  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.44/0.77  % Solved by lams/35_full_unif4.sh.
% 1.44/0.77  % done 1 iterations in 0.006s
% 1.44/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.44/0.77  % SZS output start Refutation
% See solution above
% 1.44/0.77  
% 1.44/0.77  
% 1.44/0.77  % Terminating...
% 1.62/0.85  % Runner terminated.
% 1.79/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------