↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO524+1 : TPTP v9.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cPoFtaaefl true

% Computer : n003.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 Oct  2 04:34:51 PM UTC 2025

% Result   : Theorem 0.81s 0.77s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   32 (  31 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   94 (  12   ~;  16   |;   0   &;  66   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   5 con; 0-3 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

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

thf(sk__3_type,type,
    sk__3: $i ).

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(reflect_type,type,
    reflect: $i > $i > $i > $i ).

thf(aSatz10_7,conjecture,
    ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
      ( ( Xp = Xq )
      | ( ( reflect @ Xa @ Xb @ Xp )
       != ( reflect @ Xa @ Xb @ Xq ) )
      | ( Xa = Xb ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
        ( ( Xp = Xq )
        | ( ( reflect @ Xa @ Xb @ Xp )
         != ( reflect @ Xa @ Xb @ Xq ) )
        | ( Xa = Xb ) ),
    inference('cnf.neg',[status(esa)],[aSatz10_7]) ).

thf(zip_derived_cl8,plain,
    ( ( reflect @ sk_ @ sk__1 @ sk__2 )
    = ( reflect @ sk_ @ sk__1 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(aSatz10_4,axiom,
    ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
      ( ( ( reflect @ Xa @ Xb @ Xp1 )
        = Xp )
      | ( ( reflect @ Xa @ Xb @ Xp )
       != Xp1 )
      | ( Xa = Xb ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ( ( reflect @ X1 @ X0 @ X3 )
       != X2 )
      | ( ( reflect @ X1 @ X0 @ X2 )
        = X3 ) ),
    inference(cnf,[status(esa)],[aSatz10_4]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( ( reflect @ sk_ @ sk__1 @ sk__3 )
       != X0 )
      | ( ( reflect @ sk_ @ sk__1 @ X0 )
        = sk__2 )
      | ( sk_ = sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    sk_ != sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( ( reflect @ sk_ @ sk__1 @ sk__3 )
       != X0 )
      | ( ( reflect @ sk_ @ sk__1 @ X0 )
        = sk__2 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl18,zip_derived_cl9]) ).

thf(aSatz10_5,axiom,
    ! [Xa: $i,Xb: $i,Xp: $i] :
      ( ( ( reflect @ Xa @ Xb @ ( reflect @ Xa @ Xb @ Xp ) )
        = Xp )
      | ( Xa = Xb ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( ( reflect @ X1 @ X0 @ ( reflect @ X1 @ X0 @ X2 ) )
        = X2 ) ),
    inference(cnf,[status(esa)],[aSatz10_5]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( sk__2 = X0 )
      | ( ( reflect @ sk_ @ sk__1 @ sk__3 )
       != ( reflect @ sk_ @ sk__1 @ X0 ) )
      | ( sk_ = sk__1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl5]) ).

thf(zip_derived_cl9_001,plain,
    sk_ != sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( sk__2 = X0 )
      | ( ( reflect @ sk_ @ sk__1 @ sk__3 )
       != ( reflect @ sk_ @ sk__1 @ X0 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl24,zip_derived_cl9]) ).

thf(zip_derived_cl33,plain,
    sk__2 = sk__3,
    inference(eq_res,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl7,plain,
    sk__2 != sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl33,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GEO524+1 : TPTP v9.2.0. Released v7.0.0.
% 0.10/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cPoFtaaefl true
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 17:42:53 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.19/0.60  % Total configuration time : 435
% 0.19/0.60  % Estimated wc time : 1092
% 0.19/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.78/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.78/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.78/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.78/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.78/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.78/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.81/0.77  % Solved by fo/fo4.sh.
% 0.81/0.77  % done 9 iterations in 0.032s
% 0.81/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.81/0.77  % SZS output start Refutation
% See solution above
% 0.81/0.77  
% 0.81/0.77  
% 0.81/0.77  % Terminating...
% 0.81/0.83  % Runner terminated.
% 0.81/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------