TSTP Solution File: SYN058+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN058+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.bQa3pGdLqt true

% Computer : n008.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 04:01:26 EDT 2023

% Result   : Theorem 0.20s 0.77s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   36 (   8 unt;  13 typ;   0 def)
%            Number of atoms       :   46 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   80 (  12   ~;  10   |;   4   &;  45   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   4 con; 0-1 aty)
%            Number of variables   :   22 (   0   ^;  19   !;   3   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_g_type,type,
    big_g: $i > $o ).

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

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

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

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

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

thf(big_f_type,type,
    big_f: $i > $o ).

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

thf(sk__2_type,type,
    sk__2: $i ).

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

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

thf(pel28,conjecture,
    ! [X: $i] :
      ( ( ( big_p @ X )
        & ( big_f @ X ) )
     => ( big_g @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
        ( ( ( big_p @ X )
          & ( big_f @ X ) )
       => ( big_g @ X ) ),
    inference('cnf.neg',[status(esa)],[pel28]) ).

thf(zip_derived_cl7,plain,
    big_p @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(pel28_1,axiom,
    ! [X: $i] :
      ( ( big_p @ X )
     => ! [Z: $i] : ( big_q @ Z ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_q @ X0 )
      | ~ ( big_p @ X1 ) ),
    inference(cnf,[status(esa)],[pel28_1]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] : ( big_q @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(pel28_2,axiom,
    ( ! [X: $i] :
        ( ( big_q @ X )
        | ( big_r @ X ) )
   => ? [X1: $i] :
        ( ( big_q @ X1 )
        & ( big_s @ X1 ) ) ) ).

thf(zf_stmt_1,axiom,
    ! [X: $i] :
      ( ( ( big_r @ X )
        | ( big_q @ X ) )
     => ( zip_tseitin_0 @ X ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ X0 )
      | ~ ( big_q @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zf_stmt_2,type,
    zip_tseitin_1: $i > $o ).

thf(zf_stmt_3,axiom,
    ! [X1: $i] :
      ( ( zip_tseitin_1 @ X1 )
     => ( ( big_s @ X1 )
        & ( big_q @ X1 ) ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_0: $i > $o ).

thf(zf_stmt_5,axiom,
    ( ! [X: $i] : ( zip_tseitin_0 @ X )
   => ? [X1: $i] : ( zip_tseitin_1 @ X1 ) ) ).

thf(zip_derived_cl5,plain,
    ( ( zip_tseitin_1 @ sk_ )
    | ~ ( zip_tseitin_0 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl11,plain,
    ( ~ ( big_q @ sk__1 )
    | ( zip_tseitin_1 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).

thf(zip_derived_cl16,plain,
    zip_tseitin_1 @ sk_,
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl11]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( big_s @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl8,plain,
    big_f @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(pel28_3,axiom,
    ( ? [X: $i] : ( big_s @ X )
   => ! [X1: $i] :
        ( ( big_f @ X1 )
       => ( big_g @ X1 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X0 )
      | ( big_g @ X0 )
      | ~ ( big_s @ X1 ) ),
    inference(cnf,[status(esa)],[pel28_3]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ~ ( big_s @ X0 )
      | ( big_g @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    ~ ( big_g @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ~ ( big_s @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl9]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ~ ( zip_tseitin_1 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).

thf(zip_derived_cl17,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN058+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bQa3pGdLqt true
% 0.13/0.34  % Computer : n008.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 21:02:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77  % Solved by fo/fo6_bce.sh.
% 0.20/0.77  % BCE start: 10
% 0.20/0.77  % BCE eliminated: 1
% 0.20/0.77  % PE start: 9
% 0.20/0.77  logic: neq
% 0.20/0.77  % PE eliminated: 6
% 0.20/0.77  % done 1 iterations in 0.006s
% 0.20/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.77  % SZS output start Refutation
% See solution above
% 0.20/0.77  
% 0.20/0.77  
% 0.20/0.77  % Terminating...
% 1.49/0.84  % Runner terminated.
% 1.49/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------