TSTP Solution File: SYO218^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO218^5 : 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.YNC12oaMKr true

% Computer : n016.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 05:50:20 EDT 2023

% Result   : Theorem 1.45s 0.79s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   4 unt;   2 typ;   0 def)
%            Number of atoms       :   23 (  22 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   19 (   4   ~;   2   |;   0   &;   9   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   7   ^;   8   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

thf(sk__type,type,
    sk_: $i ).

thf(cTHM7B_pme,conjecture,
    ! [Xx: $i,Xy: $i] :
      ( ! [Xq: ( $i > $o ) > $i] :
          ( ( Xx
            = ( Xq
              @ ^ [Xz: $i] : ( Xx = Xz ) ) )
         => ( Xy
            = ( Xq
              @ ^ [Xz: $i] : ( Xy = Xz ) ) ) )
     => ( Xx = Xy ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xx: $i,Xy: $i] :
        ( ! [Xq: ( $i > $o ) > $i] :
            ( ( Xx
              = ( Xq
                @ ^ [Xz: $i] : ( Xx = Xz ) ) )
           => ( Xy
              = ( Xq
                @ ^ [Xz: $i] : ( Xy = Xz ) ) ) )
       => ( Xx = Xy ) ),
    inference('cnf.neg',[status(esa)],[cTHM7B_pme]) ).

thf(zip_derived_cl0,plain,
    ! [X0: ( $i > $o ) > $i] :
      ( ( sk__1
        = ( X0
          @ ^ [Y0: $i] : ( sk__1 = Y0 ) ) )
      | ( sk_
       != ( X0
          @ ^ [Y0: $i] : ( sk_ = Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: ( $i > $o ) > $i] :
      ( ( sk__1
        = ( X0 @ ( $i = sk__1 ) ) )
      | ( sk_
       != ( X0 @ ( $i = sk_ ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl19,plain,
    ( sk__1
    = ( ^ [Y0: $i > $o] : sk_
      @ ( $i = sk__1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl20,plain,
    sk__1 = sk_,
    inference(ho_norm,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl1,plain,
    sk_ != sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl20,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO218^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YNC12oaMKr true
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 08:06:42 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % 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/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 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/40_b.comb.sh running for 70s
% 1.45/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.45/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.45/0.79  % Solved by lams/40_noforms.sh.
% 1.45/0.79  % done 1 iterations in 0.009s
% 1.45/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.45/0.79  % SZS output start Refutation
% See solution above
% 1.45/0.79  
% 1.45/0.79  
% 1.45/0.79  % Terminating...
% 1.68/0.86  % Runner terminated.
% 1.68/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------