TSTP Solution File: SEU504^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU504^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f05Nz8fgPC true

% Computer : n017.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 19:13:23 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   15 (   8 unt;   4 typ;   0 def)
%            Number of atoms       :   28 (  16 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   67 (   2   ~;   0   |;  11   &;  33   @)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   39 (   6   ^;  19   !;  14   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(exuE1_type,type,
    exuE1: $o ).

thf(exu_type,type,
    exu: ( $i > $o ) > $o ).

thf(sk__5_type,type,
    sk__5: $i > $o ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(exuE1,axiom,
    ( exuE1
    = ( ! [Xphi: $i > $o] :
          ( ( exu
            @ ^ [Xx: $i] : ( Xphi @ Xx ) )
         => ? [Xx: $i] :
              ( ! [Xy: $i] :
                  ( ( Xphi @ Xy )
                 => ( Xx = Xy ) )
              & ( Xphi @ Xx ) ) ) ) ) ).

thf('0',plain,
    ( exuE1
    = ( ! [X4: $i > $o] :
          ( ( exu
            @ ^ [V_1: $i] : ( X4 @ V_1 ) )
         => ? [X6: $i] :
              ( ! [X8: $i] :
                  ( ( X4 @ X8 )
                 => ( X6 = X8 ) )
              & ( X4 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(exu,axiom,
    ( exu
    = ( ^ [Xphi: $i > $o] :
        ? [Xx: $i] :
          ( ! [Xy: $i] :
              ( ( Xphi @ Xy )
             => ( Xx = Xy ) )
          & ( Xphi @ Xx ) ) ) ) ).

thf('1',plain,
    ( exu
    = ( ^ [Xphi: $i > $o] :
        ? [Xx: $i] :
          ( ! [Xy: $i] :
              ( ( Xphi @ Xy )
             => ( Xx = Xy ) )
          & ( Xphi @ Xx ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[exu]) ).

thf('2',plain,
    ( exu
    = ( ^ [V_1: $i > $o] :
        ? [X4: $i] :
          ( ! [X6: $i] :
              ( ( V_1 @ X6 )
             => ( X4 = X6 ) )
          & ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(exuE3e,conjecture,
    ( exuE1
   => ! [Xphi: $i > $o] :
        ( ( exu
          @ ^ [Xx: $i] : ( Xphi @ Xx ) )
       => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i > $o] :
        ( ? [X6: $i] :
            ( ! [X8: $i] :
                ( ( X4 @ X8 )
               => ( X6 = X8 ) )
            & ( X4 @ X6 ) )
       => ? [X10: $i] :
            ( ! [X12: $i] :
                ( ( X4 @ X12 )
               => ( X10 = X12 ) )
            & ( X4 @ X10 ) ) )
   => ! [X14: $i > $o] :
        ( ? [X16: $i] :
            ( ! [X18: $i] :
                ( ( X14 @ X18 )
               => ( X16 = X18 ) )
            & ( X14 @ X16 ) )
       => ? [X20: $i] : ( X14 @ X20 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i > $o] :
          ( ? [X6: $i] :
              ( ! [X8: $i] :
                  ( ( X4 @ X8 )
                 => ( X6 = X8 ) )
              & ( X4 @ X6 ) )
         => ? [X10: $i] :
              ( ! [X12: $i] :
                  ( ( X4 @ X12 )
                 => ( X10 = X12 ) )
              & ( X4 @ X10 ) ) )
     => ! [X14: $i > $o] :
          ( ? [X16: $i] :
              ( ! [X18: $i] :
                  ( ( X14 @ X18 )
                 => ( X16 = X18 ) )
              & ( X14 @ X16 ) )
         => ? [X20: $i] : ( X14 @ X20 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    sk__5 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X3: $i] :
      ~ ( sk__5 @ X3 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU504^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f05Nz8fgPC true
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Aug 23 22:13:38 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % 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
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % Solved by lams/40_c.s.sh.
% 0.21/0.75  % done 1 iterations in 0.008s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 1.55/0.86  % Runner terminated.
% 1.55/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------