TSTP Solution File: GEO178+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO178+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.HbsRX0n15O true

% Computer : n018.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 23:57:11 EDT 2023

% Result   : Theorem 0.20s 0.69s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :   39 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  126 (  13   ~;  10   |;   4   &;  94   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(line_connecting_type,type,
    line_connecting: $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(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 ) ) )
     => ( ( distinct_points @ Z @ X )
        & ( distinct_points @ Z @ Y ) ) ) ).

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 ) ) )
       => ( ( distinct_points @ Z @ X )
          & ( distinct_points @ Z @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

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

thf(zip_derived_cl49,plain,
    apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ceq1,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( apart_point_and_line @ X @ Y )
     => ( ( distinct_points @ X @ Z )
        | ( apart_point_and_line @ Z @ Y ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( apart_point_and_line @ X0 @ X1 )
      | ( distinct_points @ X0 @ X2 )
      | ( apart_point_and_line @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ceq1]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ( distinct_points @ sk__2 @ X0 )
      | ( apart_point_and_line @ X0 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl11]) ).

thf(ci1,axiom,
    ! [X: $i,Y: $i] :
      ( ( distinct_points @ X @ Y )
     => ~ ( apart_point_and_line @ X @ ( line_connecting @ X @ Y ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X0 @ X1 ) )
      | ~ ( distinct_points @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci1]) ).

thf(zip_derived_cl93,plain,
    ( ( distinct_points @ sk__2 @ sk_ )
    | ~ ( distinct_points @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl6]) ).

thf(zip_derived_cl50,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    distinct_points @ sk__2 @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl50]) ).

thf(zip_derived_cl101,plain,
    ~ ( distinct_points @ sk__2 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl97]) ).

thf(zip_derived_cl86_001,plain,
    ! [X0: $i] :
      ( ( distinct_points @ sk__2 @ X0 )
      | ( apart_point_and_line @ X0 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl11]) ).

thf(ci2,axiom,
    ! [X: $i,Y: $i] :
      ( ( distinct_points @ X @ Y )
     => ~ ( apart_point_and_line @ Y @ ( line_connecting @ X @ Y ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X1 @ X0 ) )
      | ~ ( distinct_points @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ci2]) ).

thf(zip_derived_cl94,plain,
    ( ( distinct_points @ sk__2 @ sk__1 )
    | ~ ( distinct_points @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl7]) ).

thf(zip_derived_cl50_002,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl98,plain,
    distinct_points @ sk__2 @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl50]) ).

thf(zip_derived_cl107,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl98]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO178+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HbsRX0n15O true
% 0.13/0.34  % Computer : n018.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 19:43:33 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/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
% 0.20/0.61  % Total configuration time : 435
% 0.20/0.61  % Estimated wc time : 1092
% 0.20/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.69  % Solved by fo/fo6_bce.sh.
% 0.20/0.69  % BCE start: 51
% 0.20/0.69  % BCE eliminated: 0
% 0.20/0.69  % PE start: 51
% 0.20/0.69  logic: neq
% 0.20/0.69  % PE eliminated: 12
% 0.20/0.69  % done 32 iterations in 0.021s
% 0.20/0.69  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.69  % SZS output start Refutation
% See solution above
% 0.20/0.69  
% 0.20/0.69  
% 0.20/0.69  % Terminating...
% 1.13/0.72  % Runner terminated.
% 1.13/0.72  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------