TSTP Solution File: SEV195^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV195^5 : 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.8mjbBghOT3 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 : Thu Aug 31 19:59:58 EDT 2023

% Result   : Theorem 0.94s 0.86s
% Output   : Refutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (   4 unt;   6 typ;   0 def)
%            Number of atoms       :   36 (  35 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  113 (  26   ~;  11   |;  10   &;  58   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (   5   ^;  31   !;   4   ?;  40   :)

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

thf(sk__type,type,
    sk_: a ).

thf(cZ_type,type,
    cZ: a ).

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

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

thf(cP_type,type,
    cP: a > a > a ).

thf(cS_LEM1D_pme,conjecture,
    ( ( ! [Xx: a,Xy: a] :
          ( ( cP @ Xx @ Xy )
         != cZ )
      & ! [Xx: a,Xy: a,Xu: a,Xv: a] :
          ( ( ( cP @ Xx @ Xu )
            = ( cP @ Xy @ Xv ) )
         => ( ( Xx = Xy )
            & ( Xu = Xv ) ) )
      & ! [X: a > $o] :
          ( ( ( X @ cZ )
            & ! [Xx: a,Xy: a] :
                ( ( ( X @ Xx )
                  & ( X @ Xy ) )
               => ( X @ ( cP @ Xx @ Xy ) ) ) )
         => ! [Xx: a] : ( X @ Xx ) ) )
   => ! [Xx: a] :
        ( ? [Xy: a,Xz: a] :
            ( Xx
            = ( cP @ Xy @ Xz ) )
        | ( Xx = cZ ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: a,Xy: a] :
            ( ( cP @ Xx @ Xy )
           != cZ )
        & ! [Xx: a,Xy: a,Xu: a,Xv: a] :
            ( ( ( cP @ Xx @ Xu )
              = ( cP @ Xy @ Xv ) )
           => ( ( Xx = Xy )
              & ( Xu = Xv ) ) )
        & ! [X: a > $o] :
            ( ( ( X @ cZ )
              & ! [Xx: a,Xy: a] :
                  ( ( ( X @ Xx )
                    & ( X @ Xy ) )
                 => ( X @ ( cP @ Xx @ Xy ) ) ) )
           => ! [Xx: a] : ( X @ Xx ) ) )
     => ! [Xx: a] :
          ( ? [Xy: a,Xz: a] :
              ( Xx
              = ( cP @ Xy @ Xz ) )
          | ( Xx = cZ ) ) ),
    inference('cnf.neg',[status(esa)],[cS_LEM1D_pme]) ).

thf(zip_derived_cl3,plain,
    ! [X6: a > $o,X7: a] :
      ( ( X6 @ X7 )
      | ~ ( X6 @ ( cP @ ( sk__1 @ X6 ) @ ( sk__2 @ X6 ) ) )
      | ~ ( X6 @ cZ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    ! [X0: a] :
      ( ( ^ [Y0: a] : ( X0 != Y0 )
        @ X0 )
      | ~ ( ^ [Y0: a] : ( X0 != Y0 )
          @ ( cP
            @ ( sk__1
              @ ^ [Y0: a] : ( X0 != Y0 ) )
            @ ( sk__2
              @ ^ [Y0: a] : ( X0 != Y0 ) ) ) )
      | ~ ( ^ [Y0: a] : ( X0 != Y0 )
          @ cZ ) ),
    inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl275,plain,
    ! [X0: a] :
      ( ( X0 != X0 )
      | ( X0
       != ( cP @ ( sk__1 @ ( a != X0 ) ) @ ( sk__2 @ ( a != X0 ) ) ) )
      | ( X0 != cZ ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl238]) ).

thf(zip_derived_cl276,plain,
    ! [X0: a] :
      ( ( X0
       != ( cP @ ( sk__1 @ ( a != X0 ) ) @ ( sk__2 @ ( a != X0 ) ) ) )
      | ( X0 != cZ ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl275]) ).

thf(zip_derived_cl277,plain,
    ! [X0: a] :
      ( ( X0
        = ( cP @ ( sk__1 @ ( a != X0 ) ) @ ( sk__2 @ ( a != X0 ) ) ) )
      | ( X0 = cZ ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl276]) ).

thf(zip_derived_cl6,plain,
    ! [X8: a,X9: a] :
      ( sk_
     != ( cP @ X8 @ X9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl397,plain,
    ! [X0: a] :
      ( ( sk_ != X0 )
      | ( X0 = cZ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl6]) ).

thf(zip_derived_cl422,plain,
    sk_ = cZ,
    inference(simplify,[status(thm)],[zip_derived_cl397]) ).

thf(zip_derived_cl7,plain,
    sk_ != cZ,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl423,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl422,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV195^5 : 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.8mjbBghOT3 true
% 0.14/0.35  % Computer : n029.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 02:30:38 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
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % 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
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.94/0.86  % Solved by lams/40_c_ic.sh.
% 0.94/0.86  % done 18 iterations in 0.059s
% 0.94/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.94/0.86  % SZS output start Refutation
% See solution above
% 0.94/0.86  
% 0.94/0.86  
% 0.94/0.86  % Terminating...
% 1.80/0.89  % Runner terminated.
% 1.80/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------