TSTP Solution File: SYO287^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO287^5 : 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.qCmdNlhdlL 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 : Fri Sep  1 05:50:35 EDT 2023

% Result   : Theorem 0.16s 0.69s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   2 unt;   4 typ;   0 def)
%            Number of atoms       :   23 (   1 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   78 (   7   ~;   8   |;   0   &;  51   @)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   4 usr;   4 con; 0-2 aty)
%                                         (   4  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   16 (   7   ^;   7   !;   2   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cB_type,type,
    cB: $i > $i > $o ).

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

thf('#sk5_type',type,
    '#sk5': ( $i > $o ) > $i ).

thf(cA_type,type,
    cA: $i > $o ).

thf(cSV9,conjecture,
    ? [Xv: $i > $i > $o] :
    ! [Xx: $i] :
      ( ( Xv @ Xx @ c0 )
    <=> ( ( cB @ Xx @ Xx )
        | ( cA @ Xx ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Xv: $i > $i > $o] :
      ! [Xx: $i] :
        ( ( Xv @ Xx @ c0 )
      <=> ( ( cB @ Xx @ Xx )
          | ( cA @ Xx ) ) ),
    inference('cnf.neg',[status(esa)],[cSV9]) ).

thf(zip_derived_cl0,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i > $o] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( Y0 @ Y1 @ c0 )
            <=> ( ( cB @ Y1 @ Y1 )
                | ( cA @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i > $i > $o] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( ( X2 @ Y0 @ c0 )
          <=> ( ( cB @ Y0 @ Y0 )
              | ( cA @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i > $o] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( ( ^ [Y1: $i,Y2: $i] : ( X2 @ Y1 )
              @ Y0
              @ c0 )
          <=> ( ( cB @ Y0 @ Y0 )
              | ( cA @ Y0 ) ) ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i > $o] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( ( X2 @ Y0 )
          <=> ( ( cB @ Y0 @ Y0 )
              | ( cA @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i > $o] :
      ~ ( ( X2 @ ( '#sk5' @ X2 ) )
      <=> ( ( cB @ ( '#sk5' @ X2 ) @ ( '#sk5' @ X2 ) )
          | ( cA @ ( '#sk5' @ X2 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ ( '#sk5' @ X2 ) )
     != ( ( cB @ ( '#sk5' @ X2 ) @ ( '#sk5' @ X2 ) )
        | ( cA @ ( '#sk5' @ X2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYO287^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qCmdNlhdlL true
% 0.10/0.32  % Computer : n029.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Sat Aug 26 07:37:10 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.33  % Running in HO mode
% 0.16/0.58  % Total configuration time : 828
% 0.16/0.58  % Estimated wc time : 1656
% 0.16/0.58  % Estimated cpu time (8 cpus) : 207.0
% 0.16/0.62  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.16/0.65  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.16/0.65  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.16/0.65  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.16/0.69  % Solved by lams/35_full_unif4.sh.
% 0.16/0.69  % done 0 iterations in 0.012s
% 0.16/0.69  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.16/0.69  % SZS output start Refutation
% See solution above
% 0.16/0.69  
% 0.16/0.69  
% 0.16/0.69  % Terminating...
% 0.16/0.79  % Runner terminated.
% 0.16/0.80  % Zipperpin 1.5 exiting
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