TSTP Solution File: SEV171^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV171^5 : 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.7NuFgFfwPA true

% Computer : n014.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 1.53s 0.83s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  11 unt;   5 typ;   0 def)
%            Number of atoms       :   21 (  20 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  189 (   8   ~;   2   |;   2   &; 175   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :  141 ( 141   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   1 con; 0-4 aty)
%            Number of variables   :  115 (  93   ^;  16   !;   6   ?; 115   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(sk__1_type,type,
    sk__1: a > ( a > ( a > a > a ) > a ) > a > a > a ).

thf(sk__3_type,type,
    sk__3: ( a > ( a > a > a ) > a ) > a ).

thf(sk__type,type,
    sk_: ( a > ( a > a > a ) > a ) > a ).

thf(sk__2_type,type,
    sk__2: ( a > ( a > a > a ) > a ) > a ).

thf(cTHM33_pme,conjecture,
    ? [F: a > ( a > a > a ) > a] :
      ( ! [X: a] :
        ? [Y: a,Z: a] :
        ! [G: a > a > a] :
          ( ( F @ X @ G )
          = ( G @ X @ Y ) )
      & ! [Xx: a,Xy: a] :
          ( ( ( F @ Xx )
            = ( F @ Xy ) )
         => ( Xx = Xy ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [F: a > ( a > a > a ) > a] :
        ( ! [X: a] :
          ? [Y: a,Z: a] :
          ! [G: a > a > a] :
            ( ( F @ X @ G )
            = ( G @ X @ Y ) )
        & ! [Xx: a,Xy: a] :
            ( ( ( F @ Xx )
              = ( F @ Xy ) )
           => ( Xx = Xy ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM33_pme]) ).

thf(zip_derived_cl1,plain,
    ! [X0: a,X1: a > ( a > a > a ) > a] :
      ( ( ( X1 @ ( sk_ @ X1 ) @ ( sk__1 @ X0 @ X1 ) )
       != ( sk__1 @ X0 @ X1 @ ( sk_ @ X1 ) @ X0 ) )
      | ( ( X1 @ ( sk__2 @ X1 ) )
        = ( X1 @ ( sk__3 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ( ( ^ [Y0: a,Y1: a > a > a] :
          ( Y1
          @ ( ^ [Y2: a,Y3: a > a > a] : Y2
            @ Y0
            @ Y1 )
          @ ( ^ [Y2: a,Y3: a > a > a] : Y2
            @ Y0
            @ Y1 ) )
      @ ( sk__2
        @ ^ [Y0: a,Y1: a > a > a] :
            ( Y1
            @ ( ^ [Y2: a,Y3: a > a > a] : Y2
              @ Y0
              @ Y1 )
            @ ( ^ [Y2: a,Y3: a > a > a] : Y2
              @ Y0
              @ Y1 ) ) ) )
    = ( ^ [Y0: a,Y1: a > a > a] :
          ( Y1
          @ ( ^ [Y2: a,Y3: a > a > a] : Y2
            @ Y0
            @ Y1 )
          @ ( ^ [Y2: a,Y3: a > a > a] : Y2
            @ Y0
            @ Y1 ) )
      @ ( sk__3
        @ ^ [Y0: a,Y1: a > a > a] :
            ( Y1
            @ ( ^ [Y2: a,Y3: a > a > a] : Y2
              @ Y0
              @ Y1 )
            @ ( ^ [Y2: a,Y3: a > a > a] : Y2
              @ Y0
              @ Y1 ) ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ( ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( sk__2
            @ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) )
          @ ( sk__2
            @ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) ) )
    = ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( sk__3
            @ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) )
          @ ( sk__3
            @ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X1: a > a > a] :
      ( ( ^ [Y0: a > a > a] :
            ( Y0
            @ ( sk__2
              @ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) )
            @ ( sk__2
              @ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) )
        @ X1 )
      = ( ^ [Y0: a > a > a] :
            ( Y0
            @ ( sk__3
              @ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) )
            @ ( sk__3
              @ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) )
        @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ! [X1: a > a > a] :
      ( ( X1
        @ ( sk__2
          @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) )
        @ ( sk__2
          @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) )
      = ( X1
        @ ( sk__3
          @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) )
        @ ( sk__3
          @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ! [X1: a > a] :
      ( ( ^ [Y0: a,Y1: a] : ( X1 @ Y1 )
        @ ( sk__2
          @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) )
        @ ( sk__2
          @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) )
      = ( ^ [Y0: a,Y1: a] : ( X1 @ Y1 )
        @ ( sk__3
          @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) )
        @ ( sk__3
          @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ! [X1: a > a] :
      ( ( X1
        @ ( sk__2
          @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) )
      = ( X1
        @ ( sk__3
          @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl0,plain,
    ! [X0: a,X1: a > ( a > a > a ) > a] :
      ( ( ( X1 @ ( sk_ @ X1 ) @ ( sk__1 @ X0 @ X1 ) )
       != ( sk__1 @ X0 @ X1 @ ( sk_ @ X1 ) @ X0 ) )
      | ( ( sk__2 @ X1 )
       != ( sk__3 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ( ( sk__2
      @ ^ [Y0: a,Y1: a > a > a] :
          ( Y1
          @ ( ^ [Y2: a,Y3: a > a > a] : Y2
            @ Y0
            @ Y1 )
          @ ( ^ [Y2: a,Y3: a > a > a] : Y2
            @ Y0
            @ Y1 ) ) )
   != ( sk__3
      @ ^ [Y0: a,Y1: a > a > a] :
          ( Y1
          @ ( ^ [Y2: a,Y3: a > a > a] : Y2
            @ Y0
            @ Y1 )
          @ ( ^ [Y2: a,Y3: a > a > a] : Y2
            @ Y0
            @ Y1 ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ( ( sk__2
      @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) )
   != ( sk__3
      @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl13,plain,
    ( ( sk__2
      @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) )
   != ( ^ [Y0: a] : Y0
      @ ( sk__2
        @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl3]) ).

thf(zip_derived_cl17,plain,
    ( ( sk__2
      @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) )
   != ( sk__2
      @ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl18,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV171^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7NuFgFfwPA true
% 0.18/0.34  % Computer : n014.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Thu Aug 24 03:07:04 EDT 2023
% 0.18/0.34  % CPUTime  : 
% 0.18/0.34  % Running portfolio for 300 s
% 0.18/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.34  % Number of cores: 8
% 0.18/0.35  % Python version: Python 3.6.8
% 0.18/0.35  % Running in HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.53/0.83  % Solved by lams/40_c.s.sh.
% 1.53/0.83  % done 4 iterations in 0.061s
% 1.53/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.53/0.83  % SZS output start Refutation
% See solution above
% 1.53/0.83  
% 1.53/0.83  
% 1.53/0.83  % Terminating...
% 2.09/0.95  % Runner terminated.
% 2.09/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------