TSTP Solution File: SYN980+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN980+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nZnblRWzCp true

% Computer : n031.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 04:06:29 EDT 2023

% Result   : Theorem 0.23s 0.78s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   33 (   9 unt;   5 typ;   0 def)
%            Number of atoms       :   55 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  163 (  23   ~;   9   |;   2   &; 113   @)
%                                         (   0 <=>;   8  =>;   8  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   39 (   0   ^;  35   !;   4   ?;  39   :)

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

thf(r_type,type,
    r: $i > $o ).

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

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

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

thf(prove_this,conjecture,
    ! [B: $i] :
      ( ! [Y: $i] :
          ( ( ( r @ B )
           => ( r @ Y ) )
         => ( p @ ( f @ Y ) @ Y ) )
     => ? [X: $i,Y: $i] :
          ( ( ( q @ ( f @ B ) @ B )
           => ( q @ X @ Y ) )
          & ( p @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] :
        ( ! [Y: $i] :
            ( ( ( r @ B )
             => ( r @ Y ) )
           => ( p @ ( f @ Y ) @ Y ) )
       => ? [X: $i,Y: $i] :
            ( ( ( q @ ( f @ B ) @ B )
             => ( q @ X @ Y ) )
            & ( p @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[prove_this]) ).

thf(zip_derived_cl3,plain,
    ! [X1: $i,X2: $i] :
      ( ( q @ ( f @ sk_ ) @ sk_ )
      | ~ ( p @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ( ( q @ ( f @ sk_ ) @ sk_ )
   <= ( q @ ( f @ sk_ ) @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

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

thf(zip_derived_cl6,plain,
    ( ! [X1: $i,X2: $i] :
        ~ ( p @ X1 @ X2 )
   <= ! [X1: $i,X2: $i] :
        ~ ( p @ X1 @ X2 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ( ! [X0: $i] :
        ~ ( r @ X0 )
   <= ! [X1: $i,X2: $i] :
        ~ ( p @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( p @ ( f @ X0 ) @ X0 )
      | ( r @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ( ( r @ sk_ )
   <= ( r @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf('0',plain,
    ( ~ ! [X1: $i,X2: $i] :
          ~ ( p @ X1 @ X2 )
    | ~ ( r @ sk_ ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).

thf(zip_derived_cl4,plain,
    ( ! [X0: $i] : ( p @ ( f @ X0 ) @ X0 )
   <= ! [X0: $i] : ( p @ ( f @ X0 ) @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl6_001,plain,
    ( ! [X1: $i,X2: $i] :
        ~ ( p @ X1 @ X2 )
   <= ! [X1: $i,X2: $i] :
        ~ ( p @ X1 @ X2 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf('1',plain,
    ( ~ ! [X1: $i,X2: $i] :
          ~ ( p @ X1 @ X2 )
    | ~ ! [X0: $i] : ( p @ ( f @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).

thf('2',plain,
    ( ( r @ sk_ )
    | ! [X0: $i] : ( p @ ( f @ X0 ) @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf('3',plain,
    ( ( q @ ( f @ sk_ ) @ sk_ )
    | ! [X1: $i,X2: $i] :
        ~ ( p @ X1 @ X2 ) ),
    inference(split,[status(esa)],[zip_derived_cl3]) ).

thf('4',plain,
    q @ ( f @ sk_ ) @ sk_,
    inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).

thf(zip_derived_cl14,plain,
    q @ ( f @ sk_ ) @ sk_,
    inference(simpl_trail,[status(thm)],[zip_derived_cl7,'4']) ).

thf(zip_derived_cl2,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( q @ X1 @ X2 )
      | ~ ( p @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ~ ( p @ ( f @ sk_ ) @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl2]) ).

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

thf(zip_derived_cl16,plain,
    ~ ( r @ sk_ ),
    inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).

thf(zip_derived_cl5_003,plain,
    ( ( r @ sk_ )
   <= ( r @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf(zip_derived_cl15_004,plain,
    ~ ( p @ ( f @ sk_ ) @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl2]) ).

thf(zip_derived_cl4_005,plain,
    ( ! [X0: $i] : ( p @ ( f @ X0 ) @ X0 )
   <= ! [X0: $i] : ( p @ ( f @ X0 ) @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl1]) ).

thf('5',plain,
    ~ ! [X0: $i] : ( p @ ( f @ X0 ) @ X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl4]) ).

thf('6',plain,
    r @ sk_,
    inference('sat_resolution*',[status(thm)],['5','2']) ).

thf(zip_derived_cl20,plain,
    r @ sk_,
    inference(simpl_trail,[status(thm)],[zip_derived_cl5,'6']) ).

thf(zip_derived_cl21,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl20]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN980+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nZnblRWzCp true
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 17:47:38 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.23/0.66  % Total configuration time : 435
% 0.23/0.66  % Estimated wc time : 1092
% 0.23/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78  % Solved by fo/fo1_av.sh.
% 0.23/0.78  % done 17 iterations in 0.010s
% 0.23/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.23/0.78  % SZS output start Refutation
% See solution above
% 0.23/0.78  
% 0.23/0.78  
% 0.23/0.78  % Terminating...
% 1.38/0.87  % Runner terminated.
% 1.38/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------