TSTP Solution File: SYN050+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN050+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IDt36lWB0o true

% Computer : n027.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 04:01:21 EDT 2023

% Result   : Theorem 0.24s 0.75s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   24 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   49 (   5   ~;   3   |;   6   &;  29   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  15   !;   8   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_q_type,type,
    big_q: $i > $o ).

thf(big_r_type,type,
    big_r: $i > $o ).

thf(big_s_type,type,
    big_s: $i > $o ).

thf(big_p_type,type,
    big_p: $i > $o ).

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

thf(pel20,conjecture,
    ( ! [X: $i,Y: $i] :
      ? [Z: $i] :
      ! [W: $i] :
        ( ( ( big_p @ X )
          & ( big_q @ Y ) )
       => ( ( big_r @ Z )
          & ( big_s @ W ) ) )
   => ? [X1: $i,Y1: $i] :
        ( ( ( big_p @ X1 )
          & ( big_q @ Y1 ) )
       => ? [Z1: $i] : ( big_r @ Z1 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X: $i,Y: $i] :
        ? [Z: $i] :
        ! [W: $i] :
          ( ( ( big_p @ X )
            & ( big_q @ Y ) )
         => ( ( big_r @ Z )
            & ( big_s @ W ) ) )
     => ? [X1: $i,Y1: $i] :
          ( ( ( big_p @ X1 )
            & ( big_q @ Y1 ) )
         => ? [Z1: $i] : ( big_r @ Z1 ) ) ),
    inference('cnf.neg',[status(esa)],[pel20]) ).

thf(zip_derived_cl4,plain,
    ! [X5: $i] : ( big_q @ X5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X4: $i] : ( big_p @ X4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ~ ( big_p @ X1 )
      | ( big_r @ ( sk_ @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_r @ ( sk_ @ X1 @ X0 ) )
      | ~ ( big_q @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] : ( big_r @ ( sk_ @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).

thf(zip_derived_cl2,plain,
    ! [X3: $i] :
      ~ ( big_r @ X3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    $false,
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SYN050+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IDt36lWB0o true
% 0.16/0.38  % Computer : n027.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit : 300
% 0.16/0.38  % WCLimit  : 300
% 0.16/0.38  % DateTime : Sat Aug 26 20:41:35 EDT 2023
% 0.16/0.38  % CPUTime  : 
% 0.16/0.38  % Running portfolio for 300 s
% 0.16/0.38  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.38  % Number of cores: 8
% 0.16/0.38  % Python version: Python 3.6.8
% 0.16/0.38  % Running in FO mode
% 0.24/0.68  % Total configuration time : 435
% 0.24/0.68  % Estimated wc time : 1092
% 0.24/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.75  % Solved by fo/fo3_bce.sh.
% 0.24/0.75  % BCE start: 5
% 0.24/0.75  % BCE eliminated: 1
% 0.24/0.75  % PE start: 4
% 0.24/0.75  logic: neq
% 0.24/0.75  % PE eliminated: 3
% 0.24/0.75  % done 0 iterations in 0.004s
% 0.24/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.24/0.75  % SZS output start Refutation
% See solution above
% 0.24/0.75  
% 0.24/0.75  
% 0.24/0.75  % Terminating...
% 0.87/0.78  % Runner terminated.
% 0.87/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------