TSTP Solution File: SYO276^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO276^5 : 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.NYQwKL7Y6B 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 : Fri Sep  1 05:50:33 EDT 2023

% Result   : Theorem 1.13s 0.82s
% Output   : Refutation 1.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (   4 unt;   7 typ;   0 def)
%            Number of atoms       :   58 (  28 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  176 (   9   ~;   8   |;  11   &; 105   @)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   7 con; 0-2 aty)
%                                         (  20  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   27 (  20   ^;   7   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cO_type,type,
    cO: $i ).

thf(m_type,type,
    m: $i ).

thf('#sk85_type',type,
    '#sk85': $i ).

thf(n_type,type,
    n: $i ).

thf('#sk86_type',type,
    '#sk86': $i ).

thf(s_type,type,
    s: $i > $i ).

thf(cP_type,type,
    cP: $i > $o ).

thf(cBLEDSOE_FENG_SV_I2,conjecture,
    ( ( ( cP @ n )
      & ! [A: $i > $i > $o] :
          ( ( ! [Xx: $i,Xy: $i] :
                ( ( A @ Xx @ Xy )
               => ( A @ ( s @ Xx ) @ ( s @ Xy ) ) )
            & ( A @ cO @ cO ) )
         => ( A @ n @ m ) ) )
   => ( cP @ m ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( cP @ n )
        & ! [A: $i > $i > $o] :
            ( ( ! [Xx: $i,Xy: $i] :
                  ( ( A @ Xx @ Xy )
                 => ( A @ ( s @ Xx ) @ ( s @ Xy ) ) )
              & ( A @ cO @ cO ) )
           => ( A @ n @ m ) ) )
     => ( cP @ m ) ),
    inference('cnf.neg',[status(esa)],[cBLEDSOE_FENG_SV_I2]) ).

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

thf(zip_derived_cl1,plain,
    ( ( cP @ n )
    & ( !!
      @ ^ [Y0: $i > $i > $o] :
          ( ( ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y1 @ Y2 )
                     => ( Y0 @ ( s @ Y1 ) @ ( s @ Y2 ) ) ) ) )
            & ( Y0 @ cO @ cO ) )
         => ( Y0 @ n @ m ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    cP @ n,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i > $i > $o] :
        ( ( ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y1 @ Y2 )
                   => ( Y0 @ ( s @ Y1 ) @ ( s @ Y2 ) ) ) ) )
          & ( Y0 @ cO @ cO ) )
       => ( Y0 @ n @ m ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i > $i > $o] :
      ( ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( ( X2 @ Y0 @ Y1 )
                 => ( X2 @ ( s @ Y0 ) @ ( s @ Y1 ) ) ) ) )
        & ( X2 @ cO @ cO ) )
     => ( X2 @ n @ m ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    ( ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( Y0 = Y1 )
               => ( ( s @ Y0 )
                  = ( s @ Y1 ) ) ) ) )
      & ( cO = cO ) )
   => ( n = m ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl25,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( Y0 = Y1 )
             => ( ( s @ Y0 )
                = ( s @ Y1 ) ) ) ) )
   => ( n = m ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl26,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( Y0 = Y1 )
               => ( ( s @ Y0 )
                  = ( s @ Y1 ) ) ) ) )
    | ( n = m ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl27,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( Y0 = Y1 )
               => ( ( s @ Y0 )
                  = ( s @ Y1 ) ) ) ) )
    | ( n = m ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl28,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk85' = Y0 )
           => ( ( s @ '#sk85' )
              = ( s @ Y0 ) ) ) )
    | ( n = m ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl29,plain,
    ( ~ ( ( '#sk85' = '#sk86' )
       => ( ( s @ '#sk85' )
          = ( s @ '#sk86' ) ) )
    | ( n = m ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl31,plain,
    ( ( ( s @ '#sk85' )
     != ( s @ '#sk86' ) )
    | ( n = m ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl33,plain,
    ( ( ( s @ '#sk85' )
     != ( s @ '#sk86' ) )
    | ( n = m ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl30,plain,
    ( ( '#sk85' = '#sk86' )
    | ( n = m ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl32,plain,
    ( ( '#sk85' = '#sk86' )
    | ( n = m ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl35,plain,
    n = m,
    inference(clc,[status(thm)],[zip_derived_cl33,zip_derived_cl32]) ).

thf(zip_derived_cl2,plain,
    ~ ( cP @ m ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl36,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl35,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO276^5 : 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.NYQwKL7Y6B true
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Aug 26 03:04:29 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % 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
% 0.21/0.69  % Total configuration time : 828
% 0.21/0.69  % Estimated wc time : 1656
% 0.21/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.13/0.82  % Solved by lams/30_sp5.sh.
% 1.13/0.82  % done 0 iterations in 0.022s
% 1.13/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.13/0.82  % SZS output start Refutation
% See solution above
% 1.13/0.83  
% 1.13/0.83  
% 1.13/0.83  % Terminating...
% 1.46/0.89  % Runner terminated.
% 1.46/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------