TSTP Solution File: SYN065+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN065+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.a9NDketKRn true

% Computer : n004.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 04:01:30 EDT 2023

% Result   : Theorem 0.22s 0.74s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   27 (  10 unt;   9 typ;   0 def)
%            Number of atoms       :   33 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   93 (   9   ~;   9   |;   0   &;  69   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  28   !;   3   ?;  31   :)

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

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

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

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

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

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

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

thf(pel36_1,axiom,
    ! [X: $i] :
    ? [Y: $i] : ( big_f @ X @ Y ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( big_f @ X0 @ ( sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[pel36_1]) ).

thf(pel36_3,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( big_g @ X @ Y )
        | ( big_f @ X @ Y ) )
     => ! [Z: $i] :
          ( ( ( big_g @ Y @ Z )
            | ( big_f @ Y @ Z ) )
         => ( big_h @ X @ Z ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [Z: $i,Y: $i] :
      ( ( ( big_f @ Y @ Z )
        | ( big_g @ Y @ Z ) )
     => ( zip_tseitin_1 @ Z @ Y ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 )
      | ~ ( big_f @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] : ( zip_tseitin_1 @ ( sk_ @ X0 ) @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] : ( big_f @ X0 @ ( sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[pel36_1]) ).

thf(zf_stmt_1,axiom,
    ! [Y: $i,X: $i] :
      ( ( ( big_f @ X @ Y )
        | ( big_g @ X @ Y ) )
     => ( zip_tseitin_0 @ Y @ X ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ~ ( big_f @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] : ( zip_tseitin_0 @ ( sk_ @ X0 ) @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

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

thf(zf_stmt_3,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [X: $i,Y: $i] :
      ( ( zip_tseitin_0 @ Y @ X )
     => ! [Z: $i] :
          ( ( zip_tseitin_1 @ Z @ Y )
         => ( big_h @ X @ Z ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( zip_tseitin_1 @ X0 @ X1 )
      | ( big_h @ X2 @ X0 )
      | ~ ( zip_tseitin_0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(pel36,conjecture,
    ! [X: $i] :
    ? [Y: $i] : ( big_h @ X @ Y ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ! [X: $i] :
      ? [Y: $i] : ( big_h @ X @ Y ),
    inference('cnf.neg',[status(esa)],[pel36]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ~ ( big_h @ sk__2 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_0 @ X0 @ sk__2 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ~ ( zip_tseitin_1 @ X0 @ ( sk_ @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN065+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.a9NDketKRn true
% 0.13/0.35  % Computer : n004.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 21:49:08 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
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % Solved by fo/fo6_bce.sh.
% 0.22/0.74  % BCE start: 8
% 0.22/0.74  % BCE eliminated: 0
% 0.22/0.74  % PE start: 8
% 0.22/0.74  logic: neq
% 0.22/0.74  % PE eliminated: 4
% 0.22/0.74  % done 0 iterations in 0.005s
% 0.22/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.74  % SZS output start Refutation
% See solution above
% 0.22/0.74  
% 0.22/0.74  
% 0.22/0.74  % Terminating...
% 1.49/0.86  % Runner terminated.
% 1.49/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------