TSTP Solution File: SYN060+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN060+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oH4CRIuJ6n true

% Computer : n021.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 04:01:27 EDT 2023

% Result   : Theorem 0.21s 0.72s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   28 (   7 unt;   9 typ;   0 def)
%            Number of atoms       :   36 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   67 (  15   ~;   8   |;   2   &;  35   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   2 con; 0-1 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

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

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

thf(big_i_type,type,
    big_i: $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_g_type,type,
    big_g: $i > $o ).

thf(big_h_type,type,
    big_h: $i > $o ).

thf(pel30_2,axiom,
    ! [X: $i] :
      ( ( ( big_g @ X )
       => ~ ( big_i @ X ) )
     => ( ( big_h @ X )
        & ( big_f @ X ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_1 @ X )
     => ( ( big_f @ X )
        & ( big_h @ X ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( big_h @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( big_f @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(pel30_1,axiom,
    ! [X: $i] :
      ( ( ( big_f @ X )
        | ( big_g @ X ) )
     => ~ ( big_h @ X ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ~ ( big_h @ X0 )
      | ~ ( big_f @ X0 ) ),
    inference(cnf,[status(esa)],[pel30_1]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_1 @ X0 )
      | ~ ( big_h @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_1 @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ~ ( zip_tseitin_1 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl13]) ).

thf(zf_stmt_1,axiom,
    ! [X: $i] :
      ( ( ( big_g @ X )
       => ~ ( big_i @ X ) )
     => ( zip_tseitin_0 @ X ) ) ).

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

thf(pel30,conjecture,
    ! [X: $i] : ( big_i @ X ) ).

thf(zf_stmt_2,negated_conjecture,
    ~ ! [X: $i] : ( big_i @ X ),
    inference('cnf.neg',[status(esa)],[pel30]) ).

thf(zip_derived_cl7,plain,
    ~ ( big_i @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl8,plain,
    zip_tseitin_0 @ sk_,
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).

thf(zf_stmt_3,type,
    zip_tseitin_1: $i > $o ).

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

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

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 )
      | ~ ( zip_tseitin_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl11,plain,
    zip_tseitin_1 @ sk_,
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).

thf(zip_derived_cl16,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl11]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN060+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oH4CRIuJ6n true
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 21:15:27 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % Solved by fo/fo6_bce.sh.
% 0.21/0.72  % BCE start: 8
% 0.21/0.72  % BCE eliminated: 0
% 0.21/0.72  % PE start: 8
% 0.21/0.72  logic: neq
% 0.21/0.72  % PE eliminated: 6
% 0.21/0.72  % done 1 iterations in 0.005s
% 0.21/0.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.72  % SZS output start Refutation
% See solution above
% 0.21/0.72  
% 0.21/0.72  
% 0.21/0.72  % Terminating...
% 0.21/0.76  % Runner terminated.
% 0.21/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------