TSTP Solution File: SEV175^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV175^5 : 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.gXybXuSZKJ true

% Computer : n031.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 19:59:53 EDT 2023

% Result   : Theorem 1.38s 0.80s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   9 unt;   2 typ;   0 def)
%            Number of atoms       :   71 (  27 equ;  17 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :  200 (  30   ~;   4   |;  21   &; 129   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   2 usr;   4 con; 0-2 aty)
%                                         (   1  !!;  15  ??;   0 @@+;   0 @@-)
%            Number of variables   :   41 (  30   ^;   7   !;   4   ?;  41   :)

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

thf('#sk16_type',type,
    '#sk16': $i > $o ).

thf(cTHM144A_pme,conjecture,
    ! [Xh: ( $i > $o ) > $i] :
    ? [Xt: $i > $o] :
      ( ~ ( Xt @ ( Xh @ Xt ) )
      & ( ( Xh
          @ ^ [Xz: $i] :
            ? [Xt0: $i > $o] :
              ( ~ ( Xt0 @ ( Xh @ Xt0 ) )
              & ( Xz
                = ( Xh @ Xt0 ) ) ) )
        = ( Xh @ Xt ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xh: ( $i > $o ) > $i] :
      ? [Xt: $i > $o] :
        ( ~ ( Xt @ ( Xh @ Xt ) )
        & ( ( Xh
            @ ^ [Xz: $i] :
              ? [Xt0: $i > $o] :
                ( ~ ( Xt0 @ ( Xh @ Xt0 ) )
                & ( Xz
                  = ( Xh @ Xt0 ) ) ) )
          = ( Xh @ Xt ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM144A_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: ( $i > $o ) > $i] :
          ( ??
          @ ^ [Y1: $i > $o] :
              ( ( (~) @ ( Y1 @ ( Y0 @ Y1 ) ) )
              & ( ( Y0
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i > $o] :
                          ( ( (~) @ ( Y3 @ ( Y0 @ Y3 ) ) )
                          & ( Y2
                            = ( Y0 @ Y3 ) ) ) ) )
                = ( Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( ??
      @ ^ [Y0: $i > $o] :
          ( ( (~) @ ( Y0 @ ( '#sk1' @ Y0 ) ) )
          & ( ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( (~) @ ( Y2 @ ( '#sk1' @ Y2 ) ) )
                      & ( Y1
                        = ( '#sk1' @ Y2 ) ) ) ) )
            = ( '#sk1' @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i > $o] :
      ~ ( ( (~) @ ( X2 @ ( '#sk1' @ X2 ) ) )
        & ( ( '#sk1'
            @ ^ [Y0: $i] :
                ( ??
                @ ^ [Y1: $i > $o] :
                    ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
                    & ( Y0
                      = ( '#sk1' @ Y1 ) ) ) ) )
          = ( '#sk1' @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ ( '#sk1' @ X2 ) )
      | ( ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
                  & ( Y0
                    = ( '#sk1' @ Y1 ) ) ) ) )
       != ( '#sk1' @ X2 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ ( '#sk1' @ X2 ) )
      | ( ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
                  & ( Y0
                    = ( '#sk1' @ Y1 ) ) ) ) )
       != ( '#sk1' @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ( ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i > $o] :
            ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
            & ( Y0
              = ( '#sk1' @ Y1 ) ) ) )
    @ ( '#sk1'
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i > $o] :
              ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
              & ( Y0
                = ( '#sk1' @ Y1 ) ) ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    ( ??
    @ ^ [Y0: $i > $o] :
        ( ( (~) @ ( Y0 @ ( '#sk1' @ Y0 ) ) )
        & ( ( '#sk1'
            @ ^ [Y1: $i] :
                ( ??
                @ ^ [Y2: $i > $o] :
                    ( ( (~) @ ( Y2 @ ( '#sk1' @ Y2 ) ) )
                    & ( Y1
                      = ( '#sk1' @ Y2 ) ) ) ) )
          = ( '#sk1' @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl15,plain,
    ( ( (~) @ ( '#sk16' @ ( '#sk1' @ '#sk16' ) ) )
    & ( ( '#sk1'
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i > $o] :
                ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
                & ( Y0
                  = ( '#sk1' @ Y1 ) ) ) ) )
      = ( '#sk1' @ '#sk16' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    ~ ( '#sk16' @ ( '#sk1' @ '#sk16' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl4_001,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ ( '#sk1' @ X2 ) )
      | ( ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
                  & ( Y0
                    = ( '#sk1' @ Y1 ) ) ) ) )
       != ( '#sk1' @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl17,plain,
    ( ( '#sk1'
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i > $o] :
              ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
              & ( Y0
                = ( '#sk1' @ Y1 ) ) ) ) )
    = ( '#sk1' @ '#sk16' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl18,plain,
    ( ( '#sk1'
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i > $o] :
              ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
              & ( Y0
                = ( '#sk1' @ Y1 ) ) ) ) )
    = ( '#sk1' @ '#sk16' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl19,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ ( '#sk1' @ X2 ) )
      | ( ( '#sk1' @ '#sk16' )
       != ( '#sk1' @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl18]) ).

thf(zip_derived_cl25,plain,
    '#sk16' @ ( '#sk1' @ '#sk16' ),
    inference(eq_res,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl33,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl25]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SEV175^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gXybXuSZKJ true
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug 24 04:00:50 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/0.80  % Solved by lams/35_full_unif4.sh.
% 1.38/0.80  % done 6 iterations in 0.024s
% 1.38/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.80  % SZS output start Refutation
% See solution above
% 1.38/0.80  
% 1.38/0.80  
% 1.38/0.81  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.38/0.81  % Terminating...
% 1.38/0.87  % Runner terminated.
% 1.65/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------