TSTP Solution File: NUM602+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM602+3 : 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.BNlIPYGINE true

% Computer : n011.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 12:42:40 EDT 2023

% Result   : Theorem 1.65s 0.83s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   33 (   4 unt;  14 typ;   0 def)
%            Number of atoms       :   46 (  15 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  136 (  15   ~;  11   |;  12   &;  94   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  17   !;   7   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(szDzizrdt0_type,type,
    szDzizrdt0: $i > $i ).

thf(xe_type,type,
    xe: $i ).

thf(xO_type,type,
    xO: $i ).

thf(sdtlpdtrp0_type,type,
    sdtlpdtrp0: $i > $i > $i ).

thf(sdtlbdtrb0_type,type,
    sdtlbdtrb0: $i > $i > $i ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $o ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $o ).

thf(xx_type,type,
    xx: $i ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(xd_type,type,
    xd: $i ).

thf(szNzAzT0_type,type,
    szNzAzT0: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(m__5009,axiom,
    ( ( aElementOf0 @ xx @ xO )
    & ? [W0: $i] :
        ( ( ( sdtlpdtrp0 @ xe @ W0 )
          = xx )
        & ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) ) ).

thf(zip_derived_cl23,plain,
    aElementOf0 @ xx @ xO,
    inference(cnf,[status(esa)],[m__5009]) ).

thf(m__4982,axiom,
    ! [W0: $i] :
      ( ( ( aElementOf0 @ W0 @ xO )
        | ? [W1: $i] :
            ( ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
            & ( ( sdtlpdtrp0 @ xe @ W1 )
              = W0 ) ) )
     => ? [W1: $i] :
          ( ( aElementOf0 @ W1 @ szNzAzT0 )
          & ( ( sdtlpdtrp0 @ xd @ W1 )
            = ( szDzizrdt0 @ xd ) )
          & ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
          & ( ( sdtlpdtrp0 @ xe @ W1 )
            = W0 ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [W0: $i] :
      ( ( ? [W1: $i] :
            ( ( ( sdtlpdtrp0 @ xe @ W1 )
              = W0 )
            & ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
        | ( aElementOf0 @ W0 @ xO ) )
     => ( zip_tseitin_0 @ W0 ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ X0 )
      | ~ ( aElementOf0 @ X0 @ xO ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    zip_tseitin_0 @ xx,
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl15]) ).

thf(zf_stmt_1,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [W1: $i,W0: $i] :
      ( ( zip_tseitin_1 @ W1 @ W0 )
     => ( ( ( sdtlpdtrp0 @ xe @ W1 )
          = W0 )
        & ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
        & ( ( sdtlpdtrp0 @ xd @ W1 )
          = ( szDzizrdt0 @ xd ) )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_0: $i > $o ).

thf(zf_stmt_4,axiom,
    ! [W0: $i] :
      ( ( zip_tseitin_0 @ W0 )
     => ? [W1: $i] : ( zip_tseitin_1 @ W1 @ W0 ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ ( sk__1 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sdtlpdtrp0 @ xe @ X1 )
        = X0 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( ( sdtlpdtrp0 @ xe @ W0 )
        = xx )
      & ( aElementOf0 @ W0 @ szNzAzT0 ) ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( ( sdtlpdtrp0 @ xe @ W0 )
          = xx )
        & ( aElementOf0 @ W0 @ szNzAzT0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xe @ X0 )
       != xx )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != xx )
      | ~ ( zip_tseitin_1 @ X1 @ X0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl24]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_1 @ X1 @ X0 )
      | ( X0 != xx ) ),
    inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl19]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_0 @ X0 )
      | ( X0 != xx ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl49]) ).

thf(zip_derived_cl51,plain,
    xx != xx,
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl50]) ).

thf(zip_derived_cl52,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM602+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BNlIPYGINE true
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 08:02:23 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.65/0.83  % Solved by fo/fo4.sh.
% 1.65/0.83  % done 26 iterations in 0.019s
% 1.65/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.65/0.83  % SZS output start Refutation
% See solution above
% 1.65/0.83  
% 1.65/0.83  
% 1.65/0.83  % Terminating...
% 1.92/0.95  % Runner terminated.
% 1.92/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------