TSTP Solution File: SEU890^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU890^5 : 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.lzU4Ob5x8K true

% Computer : n007.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 19:18:44 EDT 2023

% Result   : Theorem 1.28s 0.80s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   58 (   9 unt;  10 typ;   0 def)
%            Number of atoms       :  131 (  71 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  315 (  74   ~;  75   |;   6   &; 158   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  25   !;   6   ?;  31   :)

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

thf(b_type,type,
    b: $tType ).

thf(c_type,type,
    c: $tType ).

thf(cF_type,type,
    cF: b > a ).

thf(sk__3_type,type,
    sk__3: c ).

thf(sk__2_type,type,
    sk__2: b ).

thf(cS_type,type,
    cS: c > $o ).

thf(cG_type,type,
    cG: c > b ).

thf(sk__type,type,
    sk_: a ).

thf(sk__1_type,type,
    sk__1: c ).

thf(cTHM29_pme,conjecture,
    ! [Xx: a] :
      ( ? [Xt: b] :
          ( ( Xx
            = ( cF @ Xt ) )
          & ? [Xt0: c] :
              ( ( Xt
                = ( cG @ Xt0 ) )
              & ( cS @ Xt0 ) ) )
    <=> ? [Xt: c] :
          ( ( Xx
            = ( cF @ ( cG @ Xt ) ) )
          & ( cS @ Xt ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xx: a] :
        ( ? [Xt: b] :
            ( ( Xx
              = ( cF @ Xt ) )
            & ? [Xt0: c] :
                ( ( Xt
                  = ( cG @ Xt0 ) )
                & ( cS @ Xt0 ) ) )
      <=> ? [Xt: c] :
            ( ( Xx
              = ( cF @ ( cG @ Xt ) ) )
            & ( cS @ Xt ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM29_pme]) ).

thf(zip_derived_cl2,plain,
    ( ( sk_
      = ( cF @ ( cG @ sk__1 ) ) )
    | ( sk__2
      = ( cG @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_001,plain,
    ( ( sk_
      = ( cF @ ( cG @ sk__1 ) ) )
    | ( sk__2
      = ( cG @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: c,X1: c,X2: b] :
      ( ~ ( cS @ X0 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ( X2
       != ( cG @ X1 ) )
      | ~ ( cS @ X1 )
      | ( sk_
       != ( cF @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: c,X1: c] :
      ( ( sk_
       != ( cF @ ( cG @ X1 ) ) )
      | ~ ( cS @ X1 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    ! [X0: c] :
      ( ( sk_ != sk_ )
      | ( sk__2
        = ( cG @ sk__3 ) )
      | ~ ( cS @ X0 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ! [X0: c] :
      ( ~ ( cS @ sk__1 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ X0 )
      | ( sk__2
        = ( cG @ sk__3 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl5,plain,
    ( ( cS @ sk__1 )
    | ( sk__2
      = ( cG @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ! [X0: c] :
      ( ( sk__2
        = ( cG @ sk__3 ) )
      | ~ ( cS @ X0 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl12,zip_derived_cl5]) ).

thf(zip_derived_cl16,plain,
    ( ( sk_ != sk_ )
    | ( sk__2
      = ( cG @ sk__3 ) )
    | ~ ( cS @ sk__1 )
    | ( sk__2
      = ( cG @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).

thf(zip_derived_cl19,plain,
    ( ~ ( cS @ sk__1 )
    | ( sk__2
      = ( cG @ sk__3 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl5_002,plain,
    ( ( cS @ sk__1 )
    | ( sk__2
      = ( cG @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ( sk__2
    = ( cG @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl19,zip_derived_cl5]) ).

thf(zip_derived_cl0,plain,
    ( ( sk_
      = ( cF @ ( cG @ sk__1 ) ) )
    | ( sk_
      = ( cF @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21_003,plain,
    ( sk__2
    = ( cG @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl19,zip_derived_cl5]) ).

thf(zip_derived_cl7_004,plain,
    ! [X0: c,X1: c] :
      ( ( sk_
       != ( cF @ ( cG @ X1 ) ) )
      | ~ ( cS @ X1 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl22,plain,
    ! [X0: c] :
      ( ( sk_
       != ( cF @ sk__2 ) )
      | ~ ( cS @ X0 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl7]) ).

thf(zip_derived_cl26,plain,
    ! [X0: c] :
      ( ( sk_ != sk_ )
      | ( sk_
        = ( cF @ ( cG @ sk__1 ) ) )
      | ~ ( cS @ sk__3 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl22]) ).

thf(zip_derived_cl30,plain,
    ! [X0: c] :
      ( ~ ( cS @ X0 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ sk__3 )
      | ( sk_
        = ( cF @ ( cG @ sk__1 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl1,plain,
    ( ( sk_
      = ( cF @ ( cG @ sk__1 ) ) )
    | ( cS @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    ! [X0: c] :
      ( ( sk_
        = ( cF @ ( cG @ sk__1 ) ) )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl30,zip_derived_cl1]) ).

thf(zip_derived_cl43,plain,
    ( ( sk_
     != ( cF @ sk__2 ) )
    | ~ ( cS @ sk__3 )
    | ( sk_
      = ( cF @ ( cG @ sk__1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl42]) ).

thf(zip_derived_cl0_005,plain,
    ( ( sk_
      = ( cF @ ( cG @ sk__1 ) ) )
    | ( sk_
      = ( cF @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    ( ( sk_
      = ( cF @ ( cG @ sk__1 ) ) )
    | ~ ( cS @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl43,zip_derived_cl0]) ).

thf(zip_derived_cl1_006,plain,
    ( ( sk_
      = ( cF @ ( cG @ sk__1 ) ) )
    | ( cS @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46,plain,
    ( sk_
    = ( cF @ ( cG @ sk__1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl1]) ).

thf(zip_derived_cl46_007,plain,
    ( sk_
    = ( cF @ ( cG @ sk__1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl1]) ).

thf(zip_derived_cl7_008,plain,
    ! [X0: c,X1: c] :
      ( ( sk_
       != ( cF @ ( cG @ X1 ) ) )
      | ~ ( cS @ X1 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl47,plain,
    ! [X0: c] :
      ( ( sk_ != sk_ )
      | ~ ( cS @ X0 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl7]) ).

thf(zip_derived_cl21_009,plain,
    ( sk__2
    = ( cG @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl19,zip_derived_cl5]) ).

thf(zip_derived_cl3,plain,
    ( ( cS @ sk__1 )
    | ( sk_
      = ( cF @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22_010,plain,
    ! [X0: c] :
      ( ( sk_
       != ( cF @ sk__2 ) )
      | ~ ( cS @ X0 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl7]) ).

thf(zip_derived_cl25,plain,
    ! [X0: c] :
      ( ( sk_ != sk_ )
      | ( cS @ sk__1 )
      | ~ ( cS @ sk__3 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl22]) ).

thf(zip_derived_cl29,plain,
    ! [X0: c] :
      ( ~ ( cS @ X0 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ sk__3 )
      | ( cS @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl4,plain,
    ( ( cS @ sk__1 )
    | ( cS @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ! [X0: c] :
      ( ( cS @ sk__1 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl29,zip_derived_cl4]) ).

thf(zip_derived_cl34,plain,
    ( ( sk_
     != ( cF @ sk__2 ) )
    | ~ ( cS @ sk__3 )
    | ( cS @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl33]) ).

thf(zip_derived_cl3_011,plain,
    ( ( cS @ sk__1 )
    | ( sk_
      = ( cF @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ( ( cS @ sk__1 )
    | ~ ( cS @ sk__3 ) ),
    inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl3]) ).

thf(zip_derived_cl4_012,plain,
    ( ( cS @ sk__1 )
    | ( cS @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    cS @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl4]) ).

thf(zip_derived_cl49,plain,
    ! [X0: c] :
      ( ( sk_ != sk_ )
      | ~ ( cS @ X0 )
      | ( sk_
       != ( cF @ ( cG @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl40]) ).

thf(zip_derived_cl50,plain,
    ! [X0: c] :
      ( ( sk_
       != ( cF @ ( cG @ X0 ) ) )
      | ~ ( cS @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl54,plain,
    ( ( sk_ != sk_ )
    | ~ ( cS @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl50]) ).

thf(zip_derived_cl40_013,plain,
    cS @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl4]) ).

thf(zip_derived_cl57,plain,
    sk_ != sk_,
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl40]) ).

thf(zip_derived_cl58,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU890^5 : 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.lzU4Ob5x8K true
% 0.13/0.35  % Computer : n007.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 : Wed Aug 23 12:08:25 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
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.28/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.28/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.28/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.28/0.80  % Solved by lams/40_c_ic.sh.
% 1.28/0.80  % done 18 iterations in 0.015s
% 1.28/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/0.80  % SZS output start Refutation
% See solution above
% 1.28/0.80  
% 1.28/0.80  
% 1.28/0.80  % Terminating...
% 1.61/0.86  % Runner terminated.
% 1.61/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------