TSTP Solution File: GEO255+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO255+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.wD3woa3URi 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 23:58:06 EDT 2023

% Result   : Theorem 0.59s 0.95s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   62 (  18 unt;  11 typ;   0 def)
%            Number of atoms       :   98 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  372 (  39   ~;  36   |;   6   &; 286   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   86 (   0   ^;  86   !;   0   ?;  86   :)

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

thf(unequally_directed_lines_type,type,
    unequally_directed_lines: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(equally_directed_lines_type,type,
    equally_directed_lines: $i > $i > $o ).

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

thf(distinct_points_type,type,
    distinct_points: $i > $i > $o ).

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

thf(before_on_line_type,type,
    before_on_line: $i > $i > $i > $o ).

thf(left_convergent_lines_type,type,
    left_convergent_lines: $i > $i > $o ).

thf(reverse_line_type,type,
    reverse_line: $i > $i ).

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

thf(con,conjecture,
    ! [L: $i,A: $i,B: $i] :
      ~ ( ( before_on_line @ L @ A @ B )
        & ( before_on_line @ L @ B @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i,A: $i,B: $i] :
        ~ ( ( before_on_line @ L @ A @ B )
          & ( before_on_line @ L @ B @ A ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl68,plain,
    before_on_line @ sk_ @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax4_defns,axiom,
    ! [L: $i,A: $i,B: $i] :
      ( ( before_on_line @ L @ A @ B )
    <=> ( ( distinct_points @ A @ B )
        & ( incident_point_and_line @ A @ L )
        & ( incident_point_and_line @ B @ L )
        & ( equally_directed_lines @ L @ ( line_connecting @ A @ B ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( equally_directed_lines @ X0 @ ( line_connecting @ X1 @ X2 ) )
      | ~ ( before_on_line @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ax4_defns]) ).

thf(a4_defns,axiom,
    ! [X: $i,Y: $i] :
      ( ( equally_directed_lines @ X @ Y )
    <=> ~ ( unequally_directed_lines @ X @ Y ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( equally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a4_defns]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( before_on_line @ X2 @ X1 @ X0 )
      | ~ ( unequally_directed_lines @ X2 @ ( line_connecting @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl6]) ).

thf(zip_derived_cl119,plain,
    ~ ( unequally_directed_lines @ sk_ @ ( line_connecting @ sk__1 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl107]) ).

thf(zip_derived_cl67,plain,
    before_on_line @ sk_ @ sk__2 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( distinct_points @ X0 @ X1 )
      | ~ ( before_on_line @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax4_defns]) ).

thf(zip_derived_cl112,plain,
    distinct_points @ sk__2 @ sk__1,
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl22]) ).

thf(ax8_basics,axiom,
    ! [L: $i,M: $i] :
      ( ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
      | ( unequally_directed_lines @ L @ M ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax8_basics]) ).

thf(ax6_basics,axiom,
    ! [L: $i,M: $i,N: $i] :
      ( ( unequally_directed_lines @ L @ M )
     => ( ( unequally_directed_lines @ L @ N )
        | ( unequally_directed_lines @ M @ N ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ X0 @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ax6_basics]) ).

thf(zip_derived_cl154,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( unequally_directed_lines @ X1 @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl38]) ).

thf(ax9_cons_objs,axiom,
    ! [A: $i,B: $i] :
      ( ( distinct_points @ A @ B )
     => ( equally_directed_lines @ ( line_connecting @ A @ B ) @ ( reverse_line @ ( line_connecting @ B @ A ) ) ) ) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i] :
      ( ( equally_directed_lines @ ( line_connecting @ X0 @ X1 ) @ ( reverse_line @ ( line_connecting @ X1 @ X0 ) ) )
      | ~ ( distinct_points @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax9_cons_objs]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( equally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a4_defns]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ ( line_connecting @ X0 @ X1 ) @ ( reverse_line @ ( line_connecting @ X1 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl6]) ).

thf(zip_derived_cl273,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( unequally_directed_lines @ ( line_connecting @ X0 @ X1 ) @ X2 )
      | ( unequally_directed_lines @ ( reverse_line @ ( reverse_line @ ( line_connecting @ X1 @ X0 ) ) ) @ X2 )
      | ~ ( distinct_points @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl109]) ).

thf(zip_derived_cl1011,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ ( reverse_line @ ( line_connecting @ sk__1 @ sk__2 ) ) ) @ X0 )
      | ( unequally_directed_lines @ ( line_connecting @ sk__2 @ sk__1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl273]) ).

thf(ax5_basics,axiom,
    ! [L: $i] : ( equally_directed_lines @ L @ L ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] : ( equally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[ax5_basics]) ).

thf(zip_derived_cl6_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( equally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a4_defns]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl6]) ).

thf(zip_derived_cl1015,plain,
    unequally_directed_lines @ ( reverse_line @ ( reverse_line @ ( line_connecting @ sk__1 @ sk__2 ) ) ) @ ( line_connecting @ sk__2 @ sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl1011,zip_derived_cl108]) ).

thf(zip_derived_cl44_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax8_basics]) ).

thf(zip_derived_cl108_004,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl6]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i] : ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl108]) ).

thf(zip_derived_cl38_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ X0 @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ax6_basics]) ).

thf(zip_derived_cl169,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl38]) ).

thf(ax9_basics,axiom,
    ! [L: $i,M: $i] :
      ( ( ( unequally_directed_lines @ L @ M )
        & ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) )
     => ( ( left_convergent_lines @ L @ M )
        | ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ( left_convergent_lines @ X0 @ ( reverse_line @ X1 ) )
      | ( left_convergent_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax9_basics]) ).

thf(ax11_basics,axiom,
    ! [L: $i,M: $i] :
      ~ ( ( left_convergent_lines @ L @ M )
        | ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax11_basics]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i,X1: $i] :
      ( ( left_convergent_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl49]) ).

thf(zip_derived_cl49_006,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax11_basics]) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl49]) ).

thf(zip_derived_cl181,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) )
      | ~ ( unequally_directed_lines @ ( reverse_line @ X1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl172]) ).

thf(zip_derived_cl1083,plain,
    unequally_directed_lines @ ( reverse_line @ ( line_connecting @ sk__1 @ sk__2 ) ) @ ( reverse_line @ ( line_connecting @ sk__2 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl181]) ).

thf(zip_derived_cl172_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl49]) ).

thf(zip_derived_cl1231,plain,
    ~ ( unequally_directed_lines @ ( reverse_line @ ( line_connecting @ sk__1 @ sk__2 ) ) @ ( line_connecting @ sk__2 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1083,zip_derived_cl172]) ).

thf(zip_derived_cl154_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( unequally_directed_lines @ X1 @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl38]) ).

thf(zip_derived_cl1244,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ X0 @ ( line_connecting @ sk__2 @ sk__1 ) )
      | ( unequally_directed_lines @ X0 @ ( line_connecting @ sk__1 @ sk__2 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1231,zip_derived_cl154]) ).

thf(zip_derived_cl67_009,plain,
    before_on_line @ sk_ @ sk__2 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl107_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( before_on_line @ X2 @ X1 @ X0 )
      | ~ ( unequally_directed_lines @ X2 @ ( line_connecting @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl6]) ).

thf(zip_derived_cl115,plain,
    ~ ( unequally_directed_lines @ sk_ @ ( line_connecting @ sk__2 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl107]) ).

thf(zip_derived_cl1311,plain,
    unequally_directed_lines @ sk_ @ ( line_connecting @ sk__1 @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl1244,zip_derived_cl115]) ).

thf(zip_derived_cl1325,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl1311]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO255+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wD3woa3URi true
% 0.13/0.35  % Computer : n029.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 23:38:12 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.54/0.66  % Total configuration time : 435
% 0.54/0.66  % Estimated wc time : 1092
% 0.54/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.59/0.95  % Solved by fo/fo3_bce.sh.
% 0.59/0.95  % BCE start: 69
% 0.59/0.95  % BCE eliminated: 0
% 0.59/0.95  % PE start: 69
% 0.59/0.95  logic: neq
% 0.59/0.95  % PE eliminated: 27
% 0.59/0.95  % done 340 iterations in 0.185s
% 0.59/0.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.95  % SZS output start Refutation
% See solution above
% 0.59/0.95  
% 0.59/0.95  
% 0.59/0.95  % Terminating...
% 1.93/1.07  % Runner terminated.
% 1.97/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------