TSTP Solution File: GEO190+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO190+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.sM1hS3qBtW true

% Computer : n014.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 23:57:21 EDT 2023

% Result   : Theorem 1.31s 0.85s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   36 (  12 unt;  10 typ;   0 def)
%            Number of atoms       :   51 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  174 (  15   ~;  13   |;   6   &; 134   @)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   48 (   0   ^;  48   !;   0   ?;  48   :)

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

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

thf(incident_point_and_line_type,type,
    incident_point_and_line: $i > $i > $o ).

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(a4,axiom,
    ! [X: $i,Y: $i] :
      ( ( incident_point_and_line @ X @ Y )
    <=> ~ ( apart_point_and_line @ X @ Y ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ( incident_point_and_line @ X0 @ X1 )
      | ( apart_point_and_line @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a4]) ).

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

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

thf(zip_derived_cl48,plain,
    ~ ( incident_point_and_line @ sk__2 @ ( line_connecting @ sk__1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl111,plain,
    apart_point_and_line @ sk__2 @ ( line_connecting @ sk__1 @ sk_ ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl48]) ).

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_cl124,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ sk__2 @ X0 )
      | ( distinct_lines @ ( line_connecting @ sk__1 @ sk_ ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,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_cl185,plain,
    ! [X0: $i] : ( distinct_lines @ ( line_connecting @ sk__1 @ sk_ ) @ ( parallel_through_point @ X0 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl16]) ).

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(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_cl74,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_lines @ X1 @ X0 )
      | ( convergent_lines @ X1 @ X2 )
      | ( distinct_lines @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl13]) ).

thf(zip_derived_cl199,plain,
    ! [X0: $i,X1: $i] :
      ( ( distinct_lines @ ( parallel_through_point @ X0 @ sk__2 ) @ X1 )
      | ( convergent_lines @ ( line_connecting @ sk__1 @ sk_ ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl74]) ).

thf(zip_derived_cl14_001,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_cl72,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_cl471,plain,
    ! [X0: $i] : ( convergent_lines @ ( line_connecting @ sk__1 @ sk_ ) @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl72]) ).

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_cl479,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO190+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sM1hS3qBtW true
% 0.14/0.36  % Computer : n014.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 : Tue Aug 29 19:53:15 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/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
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.85  % Solved by fo/fo7.sh.
% 1.31/0.85  % done 238 iterations in 0.079s
% 1.31/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.85  % SZS output start Refutation
% See solution above
% 1.31/0.85  
% 1.31/0.85  
% 1.31/0.85  % Terminating...
% 1.78/0.96  % Runner terminated.
% 1.78/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------