TSTP Solution File: SYN070+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN070+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.eVAziXSDJB true

% Computer : n015.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 04:01:33 EDT 2023

% Result   : Theorem 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   35 (  12 unt;   6 typ;   0 def)
%            Number of atoms       :   78 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  169 (  34   ~;  34   |;   8   &;  86   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (   0   ^;  38   !;   2   ?;  40   :)

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

thf(big_j_type,type,
    big_j: $i > $i > $o ).

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

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

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

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

thf(pel46_1,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( big_f @ X )
        & ( ( ( big_f @ Y )
            & ( big_h @ Y @ X ) )
         => ( big_g @ Y ) ) )
     => ( big_g @ X ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ X0 )
      | ~ ( big_f @ X0 )
      | ~ ( big_g @ X1 ) ),
    inference(cnf,[status(esa)],[pel46_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ X0 )
      | ~ ( big_f @ X0 )
      | ( big_f @ X1 ) ),
    inference(cnf,[status(esa)],[pel46_1]) ).

thf(pel46,conjecture,
    ! [X: $i] :
      ( ( big_f @ X )
     => ( big_g @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
        ( ( big_f @ X )
       => ( big_g @ X ) ),
    inference('cnf.neg',[status(esa)],[pel46]) ).

thf(zip_derived_cl8,plain,
    ~ ( big_g @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( big_f @ X0 )
      | ~ ( big_f @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl8]) ).

thf(zip_derived_cl7,plain,
    big_f @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] : ( big_f @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ X0 )
      | ~ ( big_g @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).

thf(zip_derived_cl8_001,plain,
    ~ ( big_g @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ~ ( big_g @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl8]) ).

thf(pel46_2,axiom,
    ( ? [X: $i] :
        ( ~ ( big_g @ X )
        & ( big_f @ X ) )
   => ? [X1: $i] :
        ( ! [Y: $i] :
            ( ( ( big_f @ Y )
              & ~ ( big_g @ Y ) )
           => ( big_j @ X1 @ Y ) )
        & ~ ( big_g @ X1 )
        & ( big_f @ X1 ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X0 )
      | ( big_g @ X0 )
      | ( big_j @ sk_ @ X0 )
      | ~ ( big_f @ X1 )
      | ( big_g @ X1 ) ),
    inference(cnf,[status(esa)],[pel46_2]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ X0 )
      | ~ ( big_f @ X0 )
      | ( big_h @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[pel46_1]) ).

thf(pel46_3,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( big_f @ X )
        & ( big_f @ Y )
        & ( big_h @ X @ Y ) )
     => ~ ( big_j @ Y @ X ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X0 )
      | ~ ( big_f @ X1 )
      | ~ ( big_h @ X0 @ X1 )
      | ~ ( big_j @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[pel46_3]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ X1 )
      | ( big_g @ X1 )
      | ~ ( big_j @ X1 @ X0 )
      | ~ ( big_f @ X1 )
      | ~ ( big_f @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ X1 )
      | ~ ( big_f @ X1 )
      | ( big_g @ X0 )
      | ~ ( big_f @ X0 )
      | ~ ( big_f @ X0 )
      | ~ ( big_f @ sk_ )
      | ( big_g @ sk_ )
      | ~ ( big_f @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ sk_ )
      | ~ ( big_f @ sk_ )
      | ~ ( big_f @ X0 )
      | ( big_g @ X0 )
      | ~ ( big_f @ X1 )
      | ( big_g @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl14_002,plain,
    ! [X0: $i] : ( big_f @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).

thf(zip_derived_cl14_003,plain,
    ! [X0: $i] : ( big_f @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).

thf(zip_derived_cl14_004,plain,
    ! [X0: $i] : ( big_f @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ sk_ )
      | ( big_g @ X0 )
      | ( big_g @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl14,zip_derived_cl14,zip_derived_cl14]) ).

thf(zip_derived_cl19_005,plain,
    ! [X0: $i] :
      ~ ( big_g @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl8]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_g @ X1 )
      | ( big_g @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl27,zip_derived_cl19]) ).

thf(zip_derived_cl19_006,plain,
    ! [X0: $i] :
      ~ ( big_g @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl8]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] : ( big_g @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl28,zip_derived_cl19]) ).

thf(zip_derived_cl30,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl29]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN070+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eVAziXSDJB true
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Aug 26 19:16:38 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % 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
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % Solved by fo/fo6_bce.sh.
% 0.22/0.77  % BCE start: 9
% 0.22/0.77  % BCE eliminated: 0
% 0.22/0.77  % PE start: 9
% 0.22/0.77  logic: neq
% 0.22/0.77  % PE eliminated: 2
% 0.22/0.77  % done 9 iterations in 0.009s
% 0.22/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.77  % Terminating...
% 0.97/0.88  % Runner terminated.
% 0.97/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------