TSTP Solution File: SYN728+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN728+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pILTGdSPgG true

% Computer : n010.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 04:05:19 EDT 2023

% Result   : Theorem 0.88s 0.75s
% Output   : Refutation 0.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   3 unt;   7 typ;   0 def)
%            Number of atoms       :   41 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  135 (  12   ~;  12   |;   8   &;  97   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   35 (   0   ^;  29   !;   6   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $i > $i > $i ).

thf(m_type,type,
    m: $i > $o ).

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

thf(q_type,type,
    q: $i > $o ).

thf(p_type,type,
    p: $i > $i > $o ).

thf(g_type,type,
    g: $i > $i ).

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

thf(thm69,conjecture,
    ( ( ! [X: $i] :
          ( ? [Y: $i] : ( p @ X @ Y )
         => ! [Z: $i] : ( p @ Z @ Z ) )
      & ! [R: $i] :
        ? [S: $i] :
          ( ( ( q @ ( f @ R @ S ) )
            & ( m @ R ) )
          | ( p @ R @ S ) )
      & ! [W: $i] :
          ( ( q @ W )
         => ~ ( m @ ( g @ W ) ) ) )
   => ! [U: $i] :
      ? [V: $i] :
        ( ( p @ U @ U )
        & ( p @ ( g @ U ) @ V ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: $i] :
            ( ? [Y: $i] : ( p @ X @ Y )
           => ! [Z: $i] : ( p @ Z @ Z ) )
        & ! [R: $i] :
          ? [S: $i] :
            ( ( ( q @ ( f @ R @ S ) )
              & ( m @ R ) )
            | ( p @ R @ S ) )
        & ! [W: $i] :
            ( ( q @ W )
           => ~ ( m @ ( g @ W ) ) ) )
     => ! [U: $i] :
        ? [V: $i] :
          ( ( p @ U @ U )
          & ( p @ ( g @ U ) @ V ) ) ),
    inference('cnf.neg',[status(esa)],[thm69]) ).

thf(zip_derived_cl1,plain,
    ! [X3: $i] :
      ( ( q @ ( f @ X3 @ ( sk__1 @ X3 ) ) )
      | ( p @ X3 @ ( sk__1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X3: $i] :
      ( ( m @ X3 )
      | ( p @ X3 @ ( sk__1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X4: $i] :
      ( ~ ( m @ ( g @ X4 ) )
      | ~ ( q @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( p @ ( g @ X0 ) @ ( sk__1 @ ( g @ X0 ) ) )
      | ~ ( q @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( p @ X0 @ ( sk__1 @ X0 ) )
      | ( p @ ( g @ ( f @ X0 @ ( sk__1 @ X0 ) ) ) @ ( sk__1 @ ( g @ ( f @ X0 @ ( sk__1 @ X0 ) ) ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ X0 @ X0 )
      | ~ ( p @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( p @ X0 @ ( sk__1 @ X0 ) )
      | ( p @ X1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ X0 @ X0 )
      | ~ ( p @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X1: $i] : ( p @ X1 @ X1 ),
    inference(clc,[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ! [X5: $i] :
      ( ~ ( p @ sk_ @ sk_ )
      | ~ ( p @ ( g @ sk_ ) @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p @ X0 @ X0 )
      | ~ ( p @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X5: $i] :
      ~ ( p @ ( g @ sk_ ) @ X5 ),
    inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl11,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN728+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pILTGdSPgG true
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 21:21:49 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % 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
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.75  % Solved by fo/fo3_bce.sh.
% 0.88/0.75  % BCE start: 5
% 0.88/0.75  % BCE eliminated: 0
% 0.88/0.75  % PE start: 5
% 0.88/0.75  logic: neq
% 0.88/0.75  % PE eliminated: 2
% 0.88/0.75  % done 3 iterations in 0.006s
% 0.88/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.88/0.75  % SZS output start Refutation
% See solution above
% 0.88/0.75  
% 0.88/0.75  
% 0.88/0.75  % Terminating...
% 1.34/0.86  % Runner terminated.
% 1.50/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------