TSTP Solution File: GEO171+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO171+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LEZcwCeRYT true

% Computer : n027.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 : Wed Aug 30 23:57:05 EDT 2023

% Result   : Theorem 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :   30 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   79 (   7   ~;  10   |;   0   &;  58   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

thf(distinct_lines_type,type,
    distinct_lines: $i > $i > $o ).

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

thf(convergent_lines_type,type,
    convergent_lines: $i > $i > $o ).

thf(con,conjecture,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( distinct_lines @ X @ Y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i] :
        ( ( convergent_lines @ X @ Y )
       => ( distinct_lines @ X @ Y ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl48,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax6,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( convergent_lines @ X @ Z )
        | ( convergent_lines @ Y @ Z ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( convergent_lines @ X0 @ X2 )
      | ( convergent_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk_ @ X0 )
      | ( convergent_lines @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl5]) ).

thf(ceq3,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( distinct_lines @ Y @ Z )
        | ( convergent_lines @ X @ Z ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_lines @ X1 @ X2 )
      | ( convergent_lines @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ceq3]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i] :
      ( ( convergent_lines @ sk_ @ X0 )
      | ( distinct_lines @ X0 @ X1 )
      | ( convergent_lines @ sk__1 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl13]) ).

thf(zip_derived_cl49,plain,
    ~ ( distinct_lines @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104,plain,
    ( ( convergent_lines @ sk__1 @ sk__1 )
    | ( convergent_lines @ sk_ @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl49]) ).

thf(apart3,axiom,
    ! [X: $i] :
      ~ ( convergent_lines @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( convergent_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart3]) ).

thf(zip_derived_cl105,plain,
    convergent_lines @ sk__1 @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl2]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: $i] :
      ~ ( convergent_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart3]) ).

thf(zip_derived_cl108,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO171+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LEZcwCeRYT true
% 0.14/0.34  % Computer : n027.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 : Wed Aug 30 00:30:08 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.45/0.62  % Total configuration time : 435
% 0.45/0.62  % Estimated wc time : 1092
% 0.45/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % Solved by fo/fo6_bce.sh.
% 0.55/0.73  % BCE start: 50
% 0.55/0.73  % BCE eliminated: 0
% 0.55/0.73  % PE start: 50
% 0.55/0.73  logic: neq
% 0.55/0.73  % PE eliminated: 12
% 0.55/0.73  % done 40 iterations in 0.022s
% 0.55/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.73  % SZS output start Refutation
% See solution above
% 0.55/0.73  
% 0.55/0.73  
% 0.55/0.73  % Terminating...
% 0.62/0.84  % Runner terminated.
% 0.62/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------