TSTP Solution File: GEO224+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z20QJp1Vnp 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 23:57:49 EDT 2023

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   38 (   9 unt;  10 typ;   0 def)
%            Number of atoms       :   60 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  170 (  30   ~;  19   |;   7   &; 108   @)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   41 (   0   ^;  39   !;   2   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(orthogonal_through_point_type,type,
    orthogonal_through_point: $i > $i > $i ).

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

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

thf(intersection_point_type,type,
    intersection_point: $i > $i > $i ).

thf(line_type,type,
    line: $i > $o ).

thf(point_type,type,
    point: $i > $o ).

thf(unorthogonal_lines_type,type,
    unorthogonal_lines: $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(orth1,axiom,
    ! [L: $i,A: $i] :
      ( ( ( line @ L )
        & ( point @ A ) )
     => ( line @ ( orthogonal_through_point @ L @ A ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( line @ X0 )
      | ~ ( point @ X1 )
      | ( line @ ( orthogonal_through_point @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[orth1]) ).

thf(ci4,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Y ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci4]) ).

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] :
      ( ( ( point @ X )
        & ( line @ Y ) )
     => ? [Z: $i] :
          ( ( incident_point_and_line @ Z @ Y )
          & ( point @ Z ) ) ) ).

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

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ~ ( incident_point_and_line @ X0 @ sk__1 )
      | ~ ( point @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ X0 @ sk__1 )
      | ~ ( point @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl48]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i] :
      ( ~ ( convergent_lines @ X0 @ sk__1 )
      | ~ ( point @ ( intersection_point @ X0 @ sk__1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl61]) ).

thf(int1,axiom,
    ! [L: $i,M: $i] :
      ( ( ( line @ L )
        & ( line @ M )
        & ( convergent_lines @ L @ M ) )
     => ( point @ ( intersection_point @ L @ M ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( line @ X0 )
      | ~ ( line @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 )
      | ( point @ ( intersection_point @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[int1]) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i] :
      ( ~ ( convergent_lines @ X0 @ sk__1 )
      | ~ ( convergent_lines @ X0 @ sk__1 )
      | ~ ( line @ sk__1 )
      | ~ ( line @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl35]) ).

thf(zip_derived_cl49,plain,
    line @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i] :
      ( ~ ( convergent_lines @ X0 @ sk__1 )
      | ~ ( convergent_lines @ X0 @ sk__1 )
      | ~ ( line @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl49]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i] :
      ( ~ ( line @ X0 )
      | ~ ( convergent_lines @ X0 @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl108]) ).

thf(occu1,axiom,
    ! [L: $i,M: $i] :
      ( ( unorthogonal_lines @ L @ M )
      | ( convergent_lines @ L @ M ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( unorthogonal_lines @ X0 @ X1 )
      | ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[occu1]) ).

thf(ooc1,axiom,
    ! [A: $i,L: $i] :
      ~ ( unorthogonal_lines @ ( orthogonal_through_point @ L @ A ) @ L ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[ooc1]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i] : ( convergent_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl24]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i] :
      ~ ( line @ ( orthogonal_through_point @ sk__1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl109,zip_derived_cl84]) ).

thf(zip_derived_cl126,plain,
    ! [X0: $i] :
      ( ~ ( point @ X0 )
      | ~ ( line @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl117]) ).

thf(zip_derived_cl49_001,plain,
    line @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127,plain,
    ! [X0: $i] :
      ~ ( point @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl49]) ).

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

thf(zip_derived_cl130,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl127,zip_derived_cl50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z20QJp1Vnp true
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 19:05:33 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.40/0.63  % Total configuration time : 435
% 0.40/0.63  % Estimated wc time : 1092
% 0.40/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % Solved by fo/fo3_bce.sh.
% 0.54/0.74  % BCE start: 51
% 0.54/0.74  % BCE eliminated: 0
% 0.54/0.74  % PE start: 51
% 0.54/0.74  logic: neq
% 0.54/0.74  % PE eliminated: 12
% 0.54/0.74  % done 41 iterations in 0.022s
% 0.54/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.74  % SZS output start Refutation
% See solution above
% 0.54/0.74  
% 0.54/0.74  
% 0.54/0.74  % Terminating...
% 0.60/0.84  % Runner terminated.
% 0.60/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------