TSTP Solution File: GEO179+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO179+2 : 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.AXJNnvJLUI true

% Computer : n029.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 23:57:12 EDT 2023

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   38 (  13 unt;   7 typ;   0 def)
%            Number of atoms       :   62 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  235 (  20   ~;  21   |;   5   &; 184   @)
%                                         (   0 <=>;   5  =>;   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   :   32 (   0   ^;  32   !;   0   ?;  32   :)

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

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

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

thf(sk__1_type,type,
    sk__1: $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(line_connecting_type,type,
    line_connecting: $i > $i > $i ).

thf(con,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( distinct_points @ X @ Y )
        & ( apart_point_and_line @ Z @ ( line_connecting @ X @ Y ) ) )
     => ( ( distinct_lines @ ( line_connecting @ X @ Y ) @ ( line_connecting @ Z @ X ) )
        & ( distinct_lines @ ( line_connecting @ X @ Y ) @ ( line_connecting @ 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_lines @ ( line_connecting @ X @ Y ) @ ( line_connecting @ Z @ X ) )
          & ( distinct_lines @ ( line_connecting @ X @ Y ) @ ( line_connecting @ Z @ Y ) ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl15,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_cl48,plain,
    ! [X0: $i] :
      ( ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 )
      | ( apart_point_and_line @ sk__2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl12]) ).

thf(zip_derived_cl48_001,plain,
    ! [X0: $i] :
      ( ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 )
      | ( apart_point_and_line @ sk__2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    ( ~ ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk__2 @ sk_ ) )
    | ~ ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk__2 @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114,plain,
    ( ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk_ ) )
    | ~ ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk__2 @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl14]) ).

thf(zip_derived_cl115,plain,
    ( ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk__1 ) )
    | ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl114]) ).

thf(con1,axiom,
    ! [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(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X2 @ X0 )
      | ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[con1]) ).

thf(zip_derived_cl125,plain,
    ( ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk_ ) )
    | ~ ( distinct_points @ sk__2 @ sk__1 )
    | ( distinct_points @ sk__2 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl7]) ).

thf(zip_derived_cl15_002,plain,
    apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X2 @ X1 )
      | ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[con1]) ).

thf(zip_derived_cl26,plain,
    ( ~ ( distinct_points @ sk_ @ sk__1 )
    | ( distinct_points @ sk__2 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl6]) ).

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

thf(zip_derived_cl27,plain,
    distinct_points @ sk__2 @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl16]) ).

thf(apart1,axiom,
    ! [X: $i] :
      ~ ( distinct_points @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart1]) ).

thf(zip_derived_cl127,plain,
    apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl27,zip_derived_cl0]) ).

thf(zip_derived_cl7_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X2 @ X0 )
      | ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[con1]) ).

thf(zip_derived_cl132,plain,
    ( ~ ( distinct_points @ sk__2 @ sk_ )
    | ( distinct_points @ sk__2 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl7]) ).

thf(zip_derived_cl15_004,plain,
    apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X2 @ X0 )
      | ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[con1]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( distinct_points @ sk_ @ sk__1 )
    | ( distinct_points @ sk__2 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl7]) ).

thf(zip_derived_cl16_006,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    distinct_points @ sk__2 @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl16]) ).

thf(zip_derived_cl134,plain,
    distinct_points @ sk__2 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl32]) ).

thf(zip_derived_cl0_007,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart1]) ).

thf(zip_derived_cl135,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AXJNnvJLUI true
% 0.14/0.34  % Computer : n029.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 : Tue Aug 29 21:03:12 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in FO mode
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.75  % Solved by fo/fo6_bce.sh.
% 0.55/0.75  % BCE start: 17
% 0.55/0.75  % BCE eliminated: 5
% 0.55/0.75  % PE start: 12
% 0.55/0.75  logic: neq
% 0.55/0.75  % PE eliminated: 0
% 0.55/0.75  % done 46 iterations in 0.031s
% 0.55/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.75  % SZS output start Refutation
% See solution above
% 0.55/0.75  
% 0.55/0.75  
% 0.55/0.75  % Terminating...
% 0.60/0.84  % Runner terminated.
% 0.60/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------