TSTP Solution File: GEO182+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pT639Nt7A5 true

% Computer : n013.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 23:57:14 EDT 2023

% Result   : Theorem 0.55s 0.79s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   30 (  11 unt;   9 typ;   0 def)
%            Number of atoms       :   37 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  131 (  11   ~;   9   |;   0   &; 104   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   39 (   0   ^;  39   !;   0   ?;  39   :)

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

thf(line_connecting_type,type,
    line_connecting: $i > $i > $i ).

thf(parallel_through_point_type,type,
    parallel_through_point: $i > $i > $i ).

thf(distinct_points_type,type,
    distinct_points: $i > $i > $o ).

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

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

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

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

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

thf(con,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( distinct_points @ X @ Y )
     => ( ( apart_point_and_line @ Z @ ( line_connecting @ X @ Y ) )
       => ( apart_point_and_line @ Z @ ( line_connecting @ Y @ X ) ) ) ) ).

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

thf(zip_derived_cl48,plain,
    apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ),
    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_cl94,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ sk__2 @ X0 )
      | ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl12]) ).

thf(cp2,axiom,
    ! [X: $i,Y: $i] :
      ~ ( apart_point_and_line @ X @ ( parallel_through_point @ Y @ X ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ~ ( apart_point_and_line @ X0 @ ( parallel_through_point @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[cp2]) ).

thf(zip_derived_cl153,plain,
    ! [X0: $i] : ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( parallel_through_point @ X0 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,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_cl168,plain,
    ! [X0: $i,X1: $i] :
      ( ( distinct_lines @ ( parallel_through_point @ X0 @ sk__2 ) @ X1 )
      | ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl4]) ).

thf(p1,axiom,
    ! [X: $i,Y: $i] :
      ( ( distinct_lines @ X @ Y )
     => ( convergent_lines @ X @ Y ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( convergent_lines @ X0 @ X1 )
      | ~ ( distinct_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(cp1,axiom,
    ! [X: $i,Y: $i] :
      ~ ( convergent_lines @ ( parallel_through_point @ Y @ X ) @ Y ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ~ ( convergent_lines @ ( parallel_through_point @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[cp1]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ~ ( distinct_lines @ ( parallel_through_point @ X0 @ X1 ) @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl15]) ).

thf(zip_derived_cl198,plain,
    ! [X0: $i] : ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl82]) ).

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_cl201,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pT639Nt7A5 true
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 21:12:16 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.79  % Solved by fo/fo3_bce.sh.
% 0.55/0.79  % BCE start: 51
% 0.55/0.79  % BCE eliminated: 0
% 0.55/0.79  % PE start: 51
% 0.55/0.79  logic: neq
% 0.55/0.79  % PE eliminated: 12
% 0.55/0.79  % done 76 iterations in 0.038s
% 0.55/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.79  % SZS output start Refutation
% See solution above
% 0.55/0.79  
% 0.55/0.79  
% 0.55/0.79  % Terminating...
% 0.57/0.86  % Runner terminated.
% 0.57/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------