TSTP Solution File: SYN059^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN059^5 : 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.kE8T5aRBKP true

% Computer : n007.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 04:01:27 EDT 2023

% Result   : Theorem 1.55s 0.82s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   56 (  13 unt;   8 typ;   0 def)
%            Number of atoms       :  139 (   0 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  280 (  51   ~;  61   |;  14   &; 138   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   5 con; 0-1 aty)
%            Number of variables   :   40 (   0   ^;  36   !;   4   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

thf(cJ_type,type,
    cJ: $i > $o ).

thf(cH_type,type,
    cH: $i > $o ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(cF_type,type,
    cF: $i > $o ).

thf(cG_type,type,
    cG: $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

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

thf(cPELL29,conjecture,
    ( ( ? [Xx: $i] : ( cF @ Xx )
      & ? [Xx: $i] : ( cG @ Xx ) )
   => ( ( ( ! [Xx: $i] :
              ( ( cF @ Xx )
             => ( cH @ Xx ) )
          & ! [Xx: $i] :
              ( ( cG @ Xx )
             => ( cJ @ Xx ) ) )
       => ! [Xx: $i,Xy: $i] :
            ( ( ( cF @ Xx )
              & ( cG @ Xy ) )
           => ( ( cH @ Xx )
              & ( cJ @ Xy ) ) ) )
      & ( ! [Xx: $i,Xy: $i] :
            ( ( ( cF @ Xx )
              & ( cG @ Xy ) )
           => ( ( cH @ Xx )
              & ( cJ @ Xy ) ) )
       => ! [Xx: $i] :
            ( ( cG @ Xx )
           => ( cJ @ Xx ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ? [Xx: $i] : ( cF @ Xx )
        & ? [Xx: $i] : ( cG @ Xx ) )
     => ( ( ( ! [Xx: $i] :
                ( ( cF @ Xx )
               => ( cH @ Xx ) )
            & ! [Xx: $i] :
                ( ( cG @ Xx )
               => ( cJ @ Xx ) ) )
         => ! [Xx: $i,Xy: $i] :
              ( ( ( cF @ Xx )
                & ( cG @ Xy ) )
             => ( ( cH @ Xx )
                & ( cJ @ Xy ) ) ) )
        & ( ! [Xx: $i,Xy: $i] :
              ( ( ( cF @ Xx )
                & ( cG @ Xy ) )
             => ( ( cH @ Xx )
                & ( cJ @ Xy ) ) )
         => ! [Xx: $i] :
              ( ( cG @ Xx )
             => ( cJ @ Xx ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cPELL29]) ).

thf(zip_derived_cl19,plain,
    ! [X3: $i] :
      ( ~ ( cF @ X3 )
      | ( cH @ X3 )
      | ~ ( cJ @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    cF @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ( ~ ( cJ @ sk__1 )
    | ~ ( cH @ sk_ )
    | ( cG @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ( ( cF @ sk_ )
    | ( cG @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ! [X3: $i] :
      ( ~ ( cF @ X3 )
      | ( cH @ X3 )
      | ( cG @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    ( ( cG @ sk__2 )
    | ( cG @ sk__2 )
    | ( cH @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl18]) ).

thf(zip_derived_cl48,plain,
    ( ( cH @ sk_ )
    | ( cG @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl51,plain,
    ( ( cG @ sk__2 )
    | ~ ( cJ @ sk__1 )
    | ( cG @ sk__2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl48]) ).

thf(zip_derived_cl54,plain,
    ( ~ ( cJ @ sk__1 )
    | ( cG @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl6,plain,
    ( ( cG @ sk__1 )
    | ( cG @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i] :
      ( ~ ( cG @ X2 )
      | ( cJ @ X2 )
      | ( cG @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ( ( cG @ sk__2 )
    | ( cG @ sk__2 )
    | ( cJ @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).

thf(zip_derived_cl26,plain,
    ( ( cJ @ sk__1 )
    | ( cG @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl58,plain,
    cG @ sk__2,
    inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl26]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cG @ X2 )
      | ( cJ @ X2 )
      | ~ ( cF @ X0 )
      | ~ ( cG @ X1 )
      | ( cJ @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i,X1: $i] :
      ( ( cJ @ X0 )
      | ~ ( cG @ X0 )
      | ~ ( cF @ X1 )
      | ( cJ @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl17]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i] :
      ( ~ ( cG @ X2 )
      | ( cJ @ X2 )
      | ~ ( cJ @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cF @ X1 )
      | ~ ( cG @ X0 )
      | ( cJ @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl122,zip_derived_cl15]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i] :
      ( ( cJ @ X0 )
      | ~ ( cG @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl150]) ).

thf(zip_derived_cl15_001,plain,
    ! [X2: $i] :
      ( ~ ( cG @ X2 )
      | ( cJ @ X2 )
      | ~ ( cJ @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ( ~ ( cJ @ sk__1 )
    | ~ ( cH @ sk_ )
    | ~ ( cJ @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( cJ @ sk__2 )
    | ~ ( cG @ sk__1 )
    | ~ ( cJ @ sk__2 )
    | ~ ( cH @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).

thf(zip_derived_cl38,plain,
    ( ~ ( cH @ sk_ )
    | ~ ( cG @ sk__1 )
    | ~ ( cJ @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl7,plain,
    ( ( cG @ sk__1 )
    | ~ ( cJ @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ( ~ ( cJ @ sk__2 )
    | ~ ( cH @ sk_ ) ),
    inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl7]) ).

thf(zip_derived_cl155,plain,
    ( ~ ( cG @ sk__2 )
    | ~ ( cH @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl40]) ).

thf(zip_derived_cl58_002,plain,
    cG @ sk__2,
    inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl26]) ).

thf(zip_derived_cl164,plain,
    ~ ( cH @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl58]) ).

thf(zip_derived_cl173,plain,
    ( ~ ( cJ @ sk__2 )
    | ~ ( cF @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl164]) ).

thf(zip_derived_cl58_003,plain,
    cG @ sk__2,
    inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl26]) ).

thf(zip_derived_cl0_004,plain,
    cF @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( cF @ sk_ )
      | ~ ( cF @ X0 )
      | ~ ( cG @ X1 )
      | ( cJ @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ( cJ @ X0 )
      | ~ ( cG @ X0 )
      | ( cF @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl13]) ).

thf(zip_derived_cl104,plain,
    ( ( cF @ sk_ )
    | ( cJ @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl97]) ).

thf(zip_derived_cl11,plain,
    ( ( cF @ sk_ )
    | ~ ( cJ @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109,plain,
    cF @ sk_,
    inference(clc,[status(thm)],[zip_derived_cl104,zip_derived_cl11]) ).

thf(zip_derived_cl177,plain,
    ~ ( cJ @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl109]) ).

thf(zip_derived_cl58_005,plain,
    cG @ sk__2,
    inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl26]) ).

thf(zip_derived_cl109_006,plain,
    cF @ sk_,
    inference(clc,[status(thm)],[zip_derived_cl104,zip_derived_cl11]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cG @ X2 )
      | ( cJ @ X2 )
      | ~ ( cF @ X0 )
      | ~ ( cG @ X1 )
      | ( cH @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i,X1: $i] :
      ( ( cH @ X0 )
      | ( cJ @ X1 )
      | ~ ( cF @ X0 )
      | ~ ( cG @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i] :
      ( ~ ( cG @ X0 )
      | ( cJ @ X0 )
      | ( cH @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl110]) ).

thf(zip_derived_cl128,plain,
    ( ( cH @ sk_ )
    | ( cJ @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl112]) ).

thf(zip_derived_cl164_007,plain,
    ~ ( cH @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl58]) ).

thf(zip_derived_cl172,plain,
    cJ @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl164]) ).

thf(zip_derived_cl180,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl172]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN059^5 : 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.kE8T5aRBKP true
% 0.13/0.34  % Computer : n007.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 17:12:41 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
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % 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
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.38/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.38/0.76  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.40/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.55/0.82  % Solved by lams/40_c_ic.sh.
% 1.55/0.82  % done 75 iterations in 0.041s
% 1.55/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.55/0.82  % SZS output start Refutation
% See solution above
% 1.55/0.82  
% 1.55/0.82  
% 1.55/0.82  % Terminating...
% 1.81/0.85  % Runner terminated.
% 1.81/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------