TSTP Solution File: SYO096^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO096^5 : 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.FeyjSbRZgd true

% Computer : n001.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 : Fri Sep  1 05:49:43 EDT 2023

% Result   : Theorem 0.20s 0.71s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   26 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   71 (   6   ~;   3   |;   6   &;  50   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  15   !;   4   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cA_type,type,
    cA: $i ).

thf(cB_type,type,
    cB: $i ).

thf(cR_type,type,
    cR: $i > $i > $o ).

thf(cQ_type,type,
    cQ: $i > $i > $o ).

thf(cLX1,conjecture,
    ( ( ( cR @ cA @ cB )
      & ! [X: $i] :
          ( ? [Y: $i] : ( cR @ X @ Y )
         => ( cQ @ X @ X ) )
      & ! [U: $i,V: $i] :
          ( ( cQ @ U @ V )
         => ! [Z: $i] : ( cR @ Z @ V ) ) )
   => ? [W: $i] :
        ( ( cQ @ W @ cA )
        & ( cR @ cB @ W ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( cR @ cA @ cB )
        & ! [X: $i] :
            ( ? [Y: $i] : ( cR @ X @ Y )
           => ( cQ @ X @ X ) )
        & ! [U: $i,V: $i] :
            ( ( cQ @ U @ V )
           => ! [Z: $i] : ( cR @ Z @ V ) ) )
     => ? [W: $i] :
          ( ( cQ @ W @ cA )
          & ( cR @ cB @ W ) ) ),
    inference('cnf.neg',[status(esa)],[cLX1]) ).

thf(zip_derived_cl0,plain,
    cR @ cA @ cB,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl4,plain,
    cQ @ cA @ cA,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X5: $i] :
      ( ~ ( cQ @ X5 @ cA )
      | ~ ( cR @ cB @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ~ ( cR @ cB @ cA ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl4_001,plain,
    cQ @ cA @ cA,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

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

thf(zip_derived_cl6,plain,
    ! [X0: $i] : ( cR @ X0 @ cA ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl12,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO096^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FeyjSbRZgd true
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 05:57:15 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.66  % Total configuration time : 828
% 0.20/0.66  % Estimated wc time : 1656
% 0.20/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.71  % Solved by lams/40_c.s.sh.
% 0.20/0.71  % done 7 iterations in 0.007s
% 0.20/0.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.71  % SZS output start Refutation
% See solution above
% 0.20/0.71  
% 0.20/0.71  
% 0.20/0.71  % Terminating...
% 0.20/0.75  % Runner terminated.
% 0.20/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------