TSTP Solution File: GEO192+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO192+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kobfNZDNOF true

% Computer : n021.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 23:57:22 EDT 2023

% Result   : Theorem 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   37 (  12 unt;   7 typ;   0 def)
%            Number of atoms       :   57 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  175 (  18   ~;  17   |;   2   &; 130   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

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

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

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

thf(apart_point_and_line_type,type,
    apart_point_and_line: $i > $i > $o ).

thf(intersection_point_type,type,
    intersection_point: $i > $i > $i ).

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,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Z )
       => ( ( distinct_lines @ X @ Z )
          & ( distinct_lines @ Y @ Z ) ) ) ) ).

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

thf(zip_derived_cl15,plain,
    ( ~ ( distinct_lines @ sk_ @ sk__2 )
    | ~ ( distinct_lines @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ci3,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ X ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X0 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci3]) ).

thf(zip_derived_cl14,plain,
    apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ceq2,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( apart_point_and_line @ X @ Y )
     => ( ( distinct_lines @ Y @ Z )
        | ( apart_point_and_line @ X @ Z ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( apart_point_and_line @ X0 @ X1 )
      | ( distinct_lines @ X1 @ X2 )
      | ( apart_point_and_line @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ceq2]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X0 )
      | ( distinct_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).

thf(zip_derived_cl76,plain,
    ( ~ ( convergent_lines @ sk_ @ sk__1 )
    | ( distinct_lines @ sk__2 @ sk_ ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl30]) ).

thf(zip_derived_cl16,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78,plain,
    distinct_lines @ sk__2 @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl16]) ).

thf(apart5,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( distinct_lines @ X @ Y )
     => ( ( distinct_lines @ X @ Z )
        | ( distinct_lines @ Y @ Z ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_lines @ X0 @ X1 )
      | ( distinct_lines @ X0 @ X2 )
      | ( distinct_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart5]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i] :
      ( ( distinct_lines @ sk_ @ X0 )
      | ( distinct_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl4]) ).

thf(apart2,axiom,
    ! [X: $i] :
      ~ ( distinct_lines @ X @ X ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ~ ( distinct_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart2]) ).

thf(zip_derived_cl92,plain,
    distinct_lines @ sk_ @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl1]) ).

thf(zip_derived_cl95,plain,
    ~ ( distinct_lines @ sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl92]) ).

thf(ci4,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Y ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci4]) ).

thf(zip_derived_cl30_001,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X0 )
      | ( distinct_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).

thf(zip_derived_cl77,plain,
    ( ~ ( convergent_lines @ sk_ @ sk__1 )
    | ( distinct_lines @ sk__2 @ sk__1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl30]) ).

thf(zip_derived_cl16_002,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl79,plain,
    distinct_lines @ sk__2 @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl16]) ).

thf(zip_derived_cl4_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_lines @ X0 @ X1 )
      | ( distinct_lines @ X0 @ X2 )
      | ( distinct_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart5]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] :
      ( ( distinct_lines @ sk__1 @ X0 )
      | ( distinct_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl4]) ).

thf(zip_derived_cl1_004,plain,
    ! [X0: $i] :
      ~ ( distinct_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart2]) ).

thf(zip_derived_cl99,plain,
    distinct_lines @ sk__1 @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl1]) ).

thf(zip_derived_cl102,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl99]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO192+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kobfNZDNOF true
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 21:37:59 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
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.45/0.65  % Total configuration time : 435
% 0.45/0.65  % Estimated wc time : 1092
% 0.45/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77  % Solved by fo/fo3_bce.sh.
% 0.56/0.77  % BCE start: 17
% 0.56/0.77  % BCE eliminated: 0
% 0.56/0.77  % PE start: 17
% 0.56/0.77  logic: neq
% 0.56/0.77  % PE eliminated: 0
% 0.56/0.77  % done 47 iterations in 0.019s
% 0.56/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77  % SZS output start Refutation
% See solution above
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.77  % Terminating...
% 1.63/0.86  % Runner terminated.
% 1.66/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------