TSTP Solution File: SET046^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET046^5 : 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.9Hf2rQ6AOY true

% Computer : n023.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 16:12:09 EDT 2023

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :   36 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  115 (  17   ~;  12   |;   6   &;  76   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  12   !;   6   ?;  18   :)

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

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

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

thf(cPELL42,conjecture,
    ~ ? [Xy: $i] :
      ! [Xx: $i] :
        ( ( ~ ? [Xz: $i] :
                ( ( cF @ Xz @ Xx )
                & ( cF @ Xx @ Xz ) )
         => ( cF @ Xx @ Xy ) )
        & ( ( cF @ Xx @ Xy )
         => ~ ? [Xz: $i] :
                ( ( cF @ Xz @ Xx )
                & ( cF @ Xx @ Xz ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [Xy: $i] :
    ! [Xx: $i] :
      ( ( ~ ? [Xz: $i] :
              ( ( cF @ Xz @ Xx )
              & ( cF @ Xx @ Xz ) )
       => ( cF @ Xx @ Xy ) )
      & ( ( cF @ Xx @ Xy )
       => ~ ? [Xz: $i] :
              ( ( cF @ Xz @ Xx )
              & ( cF @ Xx @ Xz ) ) ) ),
    inference('cnf.neg',[status(esa)],[cPELL42]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cF @ X0 @ X1 )
      | ~ ( cF @ X1 @ X0 )
      | ~ ( cF @ X0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( cF @ X0 @ sk_ )
      | ~ ( cF @ sk_ @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl12,plain,
    ~ ( cF @ sk_ @ sk_ ),
    inference(eq_fact,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i] :
      ( ( cF @ X2 @ sk_ )
      | ( cF @ ( sk__1 @ X2 ) @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_001,plain,
    ! [X2: $i] :
      ( ( cF @ X2 @ sk_ )
      | ( cF @ ( sk__1 @ X2 ) @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cF @ X0 @ X1 )
      | ~ ( cF @ X1 @ X0 )
      | ~ ( cF @ X0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( cF @ X0 @ sk_ )
      | ~ ( cF @ ( sk__1 @ X0 ) @ sk_ )
      | ~ ( cF @ X0 @ ( sk__1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i] :
      ( ( cF @ X2 @ sk_ )
      | ( cF @ X2 @ ( sk__1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ~ ( cF @ ( sk__1 @ X0 ) @ sk_ )
      | ( cF @ X0 @ sk_ ) ),
    inference(clc,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl23,plain,
    ( ( cF @ sk_ @ sk_ )
    | ( cF @ sk_ @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl21]) ).

thf(zip_derived_cl26,plain,
    cF @ sk_ @ sk_,
    inference(simplify,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl30,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl26]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET046^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9Hf2rQ6AOY true
% 0.13/0.34  % Computer : n023.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 15:07:26 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 HO mode
% 0.56/0.67  % Total configuration time : 828
% 0.56/0.67  % Estimated wc time : 1656
% 0.56/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.74  % Solved by lams/40_c.s.sh.
% 0.56/0.74  % done 13 iterations in 0.012s
% 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...
% 0.64/0.86  % Runner terminated.
% 1.78/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------