TSTP Solution File: GEO187+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO187+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.hC3LcNITgB true

% Computer : n004.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 23:57:18 EDT 2023

% Result   : Theorem 1.33s 1.08s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   44 (  11 unt;   8 typ;   0 def)
%            Number of atoms       :   91 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  353 (  30   ~;  40   |;   9   &; 268   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   44 (   0   ^;  44   !;   0   ?;  44   :)

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

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

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(sk__3_type,type,
    sk__3: $i ).

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

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(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_cl6_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X0 @ X1 ) )
      | ~ ( distinct_points @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci1]) ).

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

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

thf(zip_derived_cl17,plain,
    distinct_points @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ( ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( apart_point_and_line @ sk__3 @ ( 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_cl39,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( apart_point_and_line @ sk__3 @ X0 )
      | ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).

thf(zip_derived_cl12_002,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,X1: $i] :
      ( ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X1 )
      | ( apart_point_and_line @ sk__3 @ X1 )
      | ( apart_point_and_line @ sk__2 @ X0 )
      | ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl12]) ).

thf(zip_derived_cl1306,plain,
    ! [X0: $i] :
      ( ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 )
      | ( apart_point_and_line @ sk__2 @ X0 )
      | ( apart_point_and_line @ sk__3 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl124]) ).

thf(zip_derived_cl7_003,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_cl1367,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ sk__2 @ ( line_connecting @ X0 @ sk__3 ) )
      | ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ X0 @ sk__3 ) )
      | ~ ( distinct_points @ X0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1306,zip_derived_cl7]) ).

thf(zip_derived_cl1424,plain,
    ( ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk__2 @ sk__3 ) )
    | ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1367]) ).

thf(zip_derived_cl1454,plain,
    ( ~ ( distinct_points @ sk__2 @ sk__3 )
    | ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl1424]) ).

thf(zip_derived_cl17_004,plain,
    distinct_points @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1455,plain,
    distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk__2 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl1454,zip_derived_cl17]) ).

thf(zip_derived_cl18,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(cu1,axiom,
    ! [X: $i,Y: $i,U: $i,V: $i] :
      ( ( ( distinct_points @ X @ Y )
        & ( distinct_lines @ U @ V ) )
     => ( ( apart_point_and_line @ X @ U )
        | ( apart_point_and_line @ X @ V )
        | ( apart_point_and_line @ Y @ U )
        | ( apart_point_and_line @ Y @ V ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( apart_point_and_line @ X0 @ X1 )
      | ( apart_point_and_line @ X2 @ X1 )
      | ~ ( distinct_points @ X2 @ X0 )
      | ~ ( distinct_lines @ X1 @ X3 )
      | ( apart_point_and_line @ X2 @ X3 )
      | ( apart_point_and_line @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[cu1]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ sk__1 @ X0 )
      | ( apart_point_and_line @ sk_ @ X0 )
      | ~ ( distinct_lines @ X1 @ X0 )
      | ( apart_point_and_line @ sk_ @ X1 )
      | ( apart_point_and_line @ sk__1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl10]) ).

thf(zip_derived_cl1458,plain,
    ( ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ sk__3 ) )
    | ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1455,zip_derived_cl53]) ).

thf(zip_derived_cl16,plain,
    ~ ( apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1475,plain,
    ( ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1458,zip_derived_cl16]) ).

thf(zip_derived_cl15,plain,
    ~ ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1965,plain,
    ( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1475,zip_derived_cl15]) ).

thf(zip_derived_cl1969,plain,
    ( ~ ( distinct_points @ sk_ @ sk__1 )
    | ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl1965]) ).

thf(zip_derived_cl18_005,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1970,plain,
    apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl1969,zip_derived_cl18]) ).

thf(zip_derived_cl1975,plain,
    ~ ( distinct_points @ sk_ @ sk__1 ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl1970]) ).

thf(zip_derived_cl18_006,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1976,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1975,zip_derived_cl18]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hC3LcNITgB true
% 0.14/0.35  % Computer : n004.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 19:52:37 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % 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
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.70/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.30/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.30/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.30/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.33/1.08  % Solved by fo/fo3_bce.sh.
% 1.33/1.08  % BCE start: 19
% 1.33/1.08  % BCE eliminated: 0
% 1.33/1.08  % PE start: 19
% 1.33/1.08  logic: neq
% 1.33/1.08  % PE eliminated: 0
% 1.33/1.08  % done 399 iterations in 0.335s
% 1.33/1.08  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.33/1.08  % SZS output start Refutation
% See solution above
% 1.33/1.08  
% 1.33/1.08  
% 1.33/1.08  % Terminating...
% 1.69/1.16  % Runner terminated.
% 1.69/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------