TSTP Solution File: SEV382^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV382^5 : 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.c8dQsAFC9e true

% Computer : n018.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 20:00:35 EDT 2023

% Result   : Theorem 1.52s 1.04s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (   5 unt;   6 typ;   0 def)
%            Number of atoms       :   42 (   0 equ;  14 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  160 (  31   ~;  13   |;   4   &; 102   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   51 (  15   ^;  32   !;   4   ?;  51   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(sk__3_type,type,
    sk__3: a ).

thf(sk__2_type,type,
    sk__2: a > $o ).

thf(sk__4_type,type,
    sk__4: a > a ).

thf(sk__type,type,
    sk_: a > a > $o ).

thf(sk__1_type,type,
    sk__1: ( a > $o ) > a ).

thf(cTRANS_IND,conjecture,
    ! [Xr: a > a > $o,P: a > $o] :
      ( ( ! [Xs: a > $o] :
            ( ? [Xz: a] : ( Xs @ Xz )
           => ? [Xy: a] :
                ( ! [Xw: a] :
                    ( ( Xr @ Xw @ Xy )
                   => ~ ( Xs @ Xw ) )
                & ( Xs @ Xy ) ) )
        & ! [Xx: a] :
            ( ! [Xy: a] :
                ( ( Xr @ Xy @ Xx )
               => ( P @ Xy ) )
           => ( P @ Xx ) ) )
     => ! [Xx: a] : ( P @ Xx ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xr: a > a > $o,P: a > $o] :
        ( ( ! [Xs: a > $o] :
              ( ? [Xz: a] : ( Xs @ Xz )
             => ? [Xy: a] :
                  ( ! [Xw: a] :
                      ( ( Xr @ Xw @ Xy )
                     => ~ ( Xs @ Xw ) )
                  & ( Xs @ Xy ) ) )
          & ! [Xx: a] :
              ( ! [Xy: a] :
                  ( ( Xr @ Xy @ Xx )
                 => ( P @ Xy ) )
             => ( P @ Xx ) ) )
       => ! [Xx: a] : ( P @ Xx ) ),
    inference('cnf.neg',[status(esa)],[cTRANS_IND]) ).

thf(zip_derived_cl0,plain,
    ~ ( sk__2 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X2: a > $o,X3: a] :
      ( ( X2 @ ( sk__1 @ X2 ) )
      | ~ ( X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: a] :
      ( ( sk__2 @ X0 )
      | ~ ( sk__2 @ ( sk__4 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X1: a,X2: a > $o,X3: a] :
      ( ~ ( sk_ @ X1 @ ( sk__1 @ X2 ) )
      | ~ ( X2 @ X1 )
      | ~ ( X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: a > $o,X1: a] :
      ( ~ ( sk_ @ X1 @ ( sk__1 @ X0 ) )
      | ~ ( X0 @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X0: a > $o,X1: a] :
      ( ~ ( sk_ @ X1
          @ ( sk__1
            @ ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) )
      | ~ ( ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) )
          @ X1 ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    ! [X0: a > $o,X1: a] :
      ( ~ ( sk_ @ X1
          @ ( sk__1
            @ ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) )
      | ~ ( (~) @ ( X0 @ X1 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl14,plain,
    ! [X0: a > $o,X1: a] :
      ( ~ ( sk_ @ X1
          @ ( sk__1
            @ ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) )
      | ( X0 @ X1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl2,plain,
    ! [X0: a] :
      ( ( sk__2 @ X0 )
      | ( sk_ @ ( sk__4 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl173,plain,
    ! [X0: a > $o] :
      ( ( X0
        @ ( sk__4
          @ ( sk__1
            @ ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) ) )
      | ( sk__2
        @ ( sk__1
          @ ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl2]) ).

thf(zip_derived_cl445,plain,
    ( ( sk__2
      @ ( sk__1
        @ ^ [Y0: a] : ( (~) @ ( sk__2 @ Y0 ) ) ) )
    | ( sk__2
      @ ( sk__1
        @ ^ [Y0: a] :
            ( (~)
            @ ( ^ [Y1: a] :
                  ( sk__2
                  @ ( ^ [Y2: a] : Y2
                    @ Y1 ) )
              @ Y0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl173]) ).

thf(zip_derived_cl461,plain,
    ( ( sk__2
      @ ( sk__1
        @ ^ [Y0: a] : ( (~) @ ( sk__2 @ Y0 ) ) ) )
    | ( sk__2
      @ ( sk__1
        @ ^ [Y0: a] : ( (~) @ ( sk__2 @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl445]) ).

thf(zip_derived_cl462,plain,
    ( sk__2
    @ ( sk__1
      @ ^ [Y0: a] : ( (~) @ ( sk__2 @ Y0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl461]) ).

thf(zip_derived_cl504,plain,
    ! [X2: a] :
      ( ( sk__2 @ X2 )
      | ~ ( sk__2
          @ ( sk__1
            @ ^ [Y0: a] : ( (~) @ ( sk__2 @ Y0 ) ) ) ) ),
    inference('inst_choice(((^[Y0 : a]: (((~) @ (sk__2 @ Y0))))))',[status(thm)],[zip_derived_cl4,zip_derived_cl462]) ).

thf(zip_derived_cl462_001,plain,
    ( sk__2
    @ ( sk__1
      @ ^ [Y0: a] : ( (~) @ ( sk__2 @ Y0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl461]) ).

thf(zip_derived_cl506,plain,
    ! [X2: a] : ( sk__2 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl462]) ).

thf(zip_derived_cl510,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl506]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV382^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c8dQsAFC9e true
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 03:10:12 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.22/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.22/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.49/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.52/1.04  % Solved by lams/40_noforms.sh.
% 1.52/1.04  % done 122 iterations in 0.253s
% 1.52/1.04  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.52/1.04  % SZS output start Refutation
% See solution above
% 1.52/1.04  
% 1.52/1.04  
% 1.52/1.04  % Terminating...
% 1.52/1.09  % Runner terminated.
% 1.52/1.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------