TSTP Solution File: NUM802^5 by Zipperpin---2.1.9999

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM802^5 : 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.FQosz4GdSw true

% Computer : n015.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 12:44:17 EDT 2023

% Result   : Theorem 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   46 (   9 equ;   5 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  158 (  29   ~;   4   |;   6   &;  90   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   5 usr;   6 con; 0-2 aty)
%                                         (  12  !!;   3  ??;   0 @@+;   0 @@-)
%            Number of variables   :   37 (  18   ^;  17   !;   2   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk3_type',type,
    '#sk3': ( $i > $o ) > $i ).

thf(c_2_type,type,
    c_2: $i ).

thf(c0_type,type,
    c0: $i ).

thf(c_less__type,type,
    c_less_: $i > $i > $o ).

thf(absval_type,type,
    absval: $i > $i ).

thf(cBLEDSOE_FENG_8,conjecture,
    ( ( c_less_ @ c_2 @ c0 )
   => ( ! [Xu: $i,Xv: $i] :
          ( ( c_less_ @ Xu @ c0 )
         => ( Xu
           != ( absval @ Xv ) ) )
     => ? [A: $i > $o] :
          ( ! [Xy: $i] :
              ~ ( A @ ( absval @ Xy ) )
          & ( A @ c_2 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( c_less_ @ c_2 @ c0 )
     => ( ! [Xu: $i,Xv: $i] :
            ( ( c_less_ @ Xu @ c0 )
           => ( Xu
             != ( absval @ Xv ) ) )
       => ? [A: $i > $o] :
            ( ! [Xy: $i] :
                ~ ( A @ ( absval @ Xy ) )
            & ( A @ c_2 ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBLEDSOE_FENG_8]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( c_less_ @ c_2 @ c0 )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( ( c_less_ @ Y0 @ c0 )
                 => ( Y0
                   != ( absval @ Y1 ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i > $o] :
              ( ( !!
                @ ^ [Y1: $i] : ( (~) @ ( Y0 @ ( absval @ Y1 ) ) ) )
              & ( Y0 @ c_2 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( c_less_ @ Y0 @ c0 )
               => ( Y0
                 != ( absval @ Y1 ) ) ) ) )
     => ( ??
        @ ^ [Y0: $i > $o] :
            ( ( !!
              @ ^ [Y1: $i] : ( (~) @ ( Y0 @ ( absval @ Y1 ) ) ) )
            & ( Y0 @ c_2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ~ ( ??
      @ ^ [Y0: $i > $o] :
          ( ( !!
            @ ^ [Y1: $i] : ( (~) @ ( Y0 @ ( absval @ Y1 ) ) ) )
          & ( Y0 @ c_2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i > $o] :
      ~ ( ( !!
          @ ^ [Y0: $i] : ( (~) @ ( X2 @ ( absval @ Y0 ) ) ) )
        & ( X2 @ c_2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i > $o] :
      ( ~ ( !!
          @ ^ [Y0: $i] : ( (~) @ ( X2 @ ( absval @ Y0 ) ) ) )
      | ~ ( X2 @ c_2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ ( absval @ ( '#sk3' @ X2 ) ) )
      | ~ ( X2 @ c_2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( c_less_ @ Y0 @ c0 )
           => ( Y0
             != ( absval @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( c_less_ @ X2 @ c0 )
         => ( X2
           != ( absval @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i,X4: $i] :
      ( ( c_less_ @ X2 @ c0 )
     => ( X2
       != ( absval @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( c_less_ @ X2 @ c0 )
      | ( X2
       != ( absval @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( c_less_ @ X2 @ c0 )
      | ( X2
       != ( absval @ X4 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl12,plain,
    ! [X4: $i] :
      ~ ( c_less_ @ ( absval @ X4 ) @ c0 ),
    inference(simplify,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl41,plain,
    ~ ( ^ [Y0: $i] :
          ( c_less_
          @ ( ^ [Y1: $i] : Y1
            @ Y0 )
          @ ( ^ [Y1: $i] : c0
            @ Y0 ) )
      @ c_2 ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl12]) ).

thf(zip_derived_cl56,plain,
    ~ ( c_less_ @ c_2 @ c0 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl1,plain,
    c_less_ @ c_2 @ c0,
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl57,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM802^5 : 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.FQosz4GdSw true
% 0.14/0.35  % Computer : n015.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 : Fri Aug 25 08:47:52 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
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % 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
% 0.59/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.80  % Solved by lams/35_full_unif4.sh.
% 0.59/0.80  % done 2 iterations in 0.018s
% 0.59/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.80  % SZS output start Refutation
% See solution above
% 0.59/0.80  
% 0.59/0.80  
% 0.59/0.80  % Terminating...
% 0.75/0.86  % Runner terminated.
% 0.75/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------