TSTP Solution File: GEO188+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO188+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E5ixPNGZgo true

% Computer : n007.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 23:57:19 EDT 2023

% Result   : Theorem 0.54s 0.81s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   50 (  14 unt;   7 typ;   0 def)
%            Number of atoms       :  106 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  344 (  31   ~;  49   |;   7   &; 250   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 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   :   62 (   0   ^;  62   !;   0   ?;  62   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

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

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

thf(sk__2_type,type,
    sk__2: $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(con,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( distinct_points @ X @ Y )
        & ( distinct_points @ X @ Z )
        & ( distinct_points @ Y @ Z )
        & ~ ( apart_point_and_line @ Z @ ( line_connecting @ X @ Y ) ) )
     => ~ ( apart_point_and_line @ X @ ( line_connecting @ Z @ Y ) ) ) ).

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

thf(zip_derived_cl14,plain,
    apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ 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_cl53,plain,
    ! [X0: $i] :
      ( ( distinct_lines @ ( line_connecting @ sk__2 @ sk__1 ) @ X0 )
      | ( apart_point_and_line @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).

thf(zip_derived_cl16,plain,
    distinct_points @ sk__1 @ sk__2,
    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_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ sk__2 @ X0 )
      | ( apart_point_and_line @ sk__1 @ X0 )
      | ~ ( distinct_lines @ X0 @ X1 )
      | ( apart_point_and_line @ sk__1 @ X1 )
      | ( apart_point_and_line @ sk__2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl10]) ).

thf(zip_derived_cl142,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ sk_ @ X0 )
      | ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk__1 ) )
      | ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk__2 @ sk__1 ) )
      | ( apart_point_and_line @ sk__1 @ X0 )
      | ( apart_point_and_line @ sk__2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl42]) ).

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_cl295,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ sk__2 @ X0 )
      | ( apart_point_and_line @ sk__1 @ X0 )
      | ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk__2 @ sk__1 ) )
      | ( apart_point_and_line @ sk_ @ X0 )
      | ~ ( distinct_points @ sk__2 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl6]) ).

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_cl338,plain,
    ! [X0: $i] :
      ( ~ ( distinct_points @ sk__2 @ sk__1 )
      | ( apart_point_and_line @ sk_ @ X0 )
      | ( apart_point_and_line @ sk__1 @ X0 )
      | ( apart_point_and_line @ sk__2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl295,zip_derived_cl7]) ).

thf(zip_derived_cl16_001,plain,
    distinct_points @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(apart4,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( distinct_points @ X @ Y )
     => ( ( distinct_points @ X @ Z )
        | ( distinct_points @ Y @ Z ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X0 @ X2 )
      | ( distinct_points @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart4]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( distinct_points @ sk__1 @ X0 )
      | ( distinct_points @ sk__2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl3]) ).

thf(zip_derived_cl3_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X0 @ X2 )
      | ( distinct_points @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart4]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( distinct_points @ sk__1 @ X0 )
      | ( distinct_points @ sk__2 @ X1 )
      | ( distinct_points @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl3]) ).

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_cl94,plain,
    ! [X0: $i] :
      ( ( distinct_points @ X0 @ sk__2 )
      | ( distinct_points @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl0]) ).

thf(zip_derived_cl3_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X0 @ X2 )
      | ( distinct_points @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart4]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i] :
      ( ( distinct_points @ X0 @ sk__2 )
      | ( distinct_points @ sk__1 @ X1 )
      | ( distinct_points @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl3]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart1]) ).

thf(zip_derived_cl375,plain,
    ! [X0: $i] :
      ( ( distinct_points @ X0 @ sk__1 )
      | ( distinct_points @ X0 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl0]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart1]) ).

thf(zip_derived_cl424,plain,
    distinct_points @ sk__2 @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl0]) ).

thf(zip_derived_cl427,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ sk_ @ X0 )
      | ( apart_point_and_line @ sk__1 @ X0 )
      | ( apart_point_and_line @ sk__2 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl424]) ).

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

thf(zip_derived_cl461,plain,
    ( ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl15]) ).

thf(zip_derived_cl7_006,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_cl485,plain,
    ( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
    | ~ ( distinct_points @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl7]) ).

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

thf(zip_derived_cl486,plain,
    apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl485,zip_derived_cl18]) ).

thf(zip_derived_cl6_007,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_cl489,plain,
    ~ ( distinct_points @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl6]) ).

thf(zip_derived_cl18_008,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl490,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl489,zip_derived_cl18]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO188+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E5ixPNGZgo true
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 22:28:14 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.81  % Solved by fo/fo6_bce.sh.
% 0.54/0.81  % BCE start: 19
% 0.54/0.81  % BCE eliminated: 0
% 0.54/0.81  % PE start: 19
% 0.54/0.81  logic: neq
% 0.54/0.81  % PE eliminated: 0
% 0.54/0.81  % done 127 iterations in 0.109s
% 0.54/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.81  % SZS output start Refutation
% See solution above
% 0.54/0.81  
% 0.54/0.81  
% 0.54/0.81  % Terminating...
% 0.55/0.85  % Runner terminated.
% 0.55/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------