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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN721+1 : TPTP v9.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5cHsNqfJPe true

% Computer : n012.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 05:05:37 PM UTC 2025

% Result   : Theorem 0.86s 1.25s
% Output   : Refutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   29 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   84 (  10   ~;   6   |;   6   &;  56   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (   0   ^;  21   !;   4   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
thf(q_type,type,
    q: $i > $i > $o ).

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

thf(a_type,type,
    a: $i ).

thf(r_type,type,
    r: $i > $i > $o ).

thf(lx1,conjecture,
    ( ( ( r @ a @ b )
      & ! [X: $i] :
          ( ? [Y: $i] : ( r @ X @ Y )
         => ( q @ X @ X ) )
      & ! [U: $i,V: $i] :
          ( ( q @ U @ V )
         => ! [Z: $i] : ( r @ Z @ V ) ) )
   => ? [W: $i] :
        ( ( q @ W @ a )
        & ( r @ b @ W ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( r @ a @ b )
        & ! [X: $i] :
            ( ? [Y: $i] : ( r @ X @ Y )
           => ( q @ X @ X ) )
        & ! [U: $i,V: $i] :
            ( ( q @ U @ V )
           => ! [Z: $i] : ( r @ Z @ V ) ) )
     => ? [W: $i] :
          ( ( q @ W @ a )
          & ( r @ b @ W ) ) ),
    inference('cnf.neg',[status(esa)],[lx1]) ).

thf(zip_derived_cl0,plain,
    r @ a @ b,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( q @ X0 @ X0 )
      | ~ ( r @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X5: $i] :
      ( ~ ( q @ X5 @ a )
      | ~ ( r @ b @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( r @ a @ X0 )
      | ~ ( r @ b @ a ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( q @ X0 @ X0 )
      | ~ ( r @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ( r @ X2 @ X3 )
      | ~ ( q @ X4 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r @ X0 @ X2 )
      | ( r @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ~ ( r @ a @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.45  % Problem  : SYN721+1 : TPTP v9.2.0. Released v2.5.0.
% 0.10/0.49  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5cHsNqfJPe true
% 0.12/0.75  % Computer : n012.cluster.edu
% 0.12/0.75  % Model    : x86_64 x86_64
% 0.12/0.75  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.75  % Memory   : 8042.1875MB
% 0.12/0.75  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.75  % CPULimit : 300
% 0.12/0.75  % WCLimit  : 300
% 0.12/0.75  % DateTime : Wed Oct  1 13:26:38 EDT 2025
% 0.12/0.75  % CPUTime  : 
% 0.12/0.75  % Running portfolio for 300 s
% 0.12/0.75  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.76  % Number of cores: 8
% 0.15/0.77  % Python version: Python 3.6.8
% 0.15/0.79  % Running in FO mode
% 0.15/1.06  % Total configuration time : 435
% 0.15/1.06  % Estimated wc time : 1092
% 0.15/1.06  % Estimated cpu time (7 cpus) : 156.0
% 0.74/1.16  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.74/1.21  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.74/1.22  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.86/1.25  % Solved by fo/fo6_bce.sh.
% 0.86/1.25  % BCE start: 4
% 0.86/1.25  % BCE eliminated: 0
% 0.86/1.25  % PE start: 4
% 0.86/1.25  logic: neq
% 0.86/1.25  % PE eliminated: 1
% 0.86/1.25  % done 2 iterations in 0.006s
% 0.86/1.25  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.86/1.25  % SZS output start Refutation
% See solution above
% 0.86/1.25  
% 0.86/1.25  
% 0.86/1.25  % Terminating...
% 1.02/1.44  % Runner terminated.
% 1.02/1.45  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------