TSTP Solution File: GEO206+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.leBGUE028L true

% Computer : n010.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 23:57:34 EDT 2023

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   29 (   9 unt;   9 typ;   0 def)
%            Number of atoms       :   35 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  110 (  11   ~;   7   |;   2   &;  84   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   29 (   0   ^;  29   !;   0   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
thf(parallel_lines_type,type,
    parallel_lines: $i > $i > $o ).

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

thf(equal_lines_type,type,
    equal_lines: $i > $i > $o ).

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

thf(parallel_through_point_type,type,
    parallel_through_point: $i > $i > $i ).

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(sk__2_type,type,
    sk__2: $i ).

thf(con,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( incident_point_and_line @ X @ Y )
        & ( parallel_lines @ Y @ Z ) )
     => ( equal_lines @ Y @ ( parallel_through_point @ Z @ X ) ) ) ).

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

thf(zip_derived_cl49,plain,
    parallel_lines @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(a3,axiom,
    ! [X: $i,Y: $i] :
      ( ( parallel_lines @ X @ Y )
    <=> ~ ( convergent_lines @ X @ Y ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ~ ( parallel_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a3]) ).

thf(zip_derived_cl61,plain,
    ~ ( convergent_lines @ sk__1 @ sk__2 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl42]) ).

thf(ax2,axiom,
    ! [X: $i,Y: $i] :
      ( ( equal_lines @ X @ Y )
    <=> ~ ( distinct_lines @ X @ Y ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ( equal_lines @ X0 @ X1 )
      | ( distinct_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl48,plain,
    ~ ( equal_lines @ sk__1 @ ( parallel_through_point @ sk__2 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    distinct_lines @ sk__1 @ ( parallel_through_point @ sk__2 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl48]) ).

thf(p1,axiom,
    ! [X: $i,Y: $i] :
      ( ( distinct_lines @ X @ Y )
     => ( convergent_lines @ X @ Y ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( convergent_lines @ X0 @ X1 )
      | ~ ( distinct_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(zip_derived_cl83,plain,
    convergent_lines @ sk__1 @ ( parallel_through_point @ sk__2 @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl14]) ).

thf(ax6,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( convergent_lines @ X @ Z )
        | ( convergent_lines @ Y @ Z ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( convergent_lines @ X0 @ X2 )
      | ( convergent_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk__1 @ X0 )
      | ( convergent_lines @ ( parallel_through_point @ sk__2 @ sk_ ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl5]) ).

thf(cp1,axiom,
    ! [X: $i,Y: $i] :
      ~ ( convergent_lines @ ( parallel_through_point @ Y @ X ) @ Y ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ~ ( convergent_lines @ ( parallel_through_point @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[cp1]) ).

thf(zip_derived_cl97,plain,
    convergent_lines @ sk__1 @ sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl15]) ).

thf(zip_derived_cl99,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl97]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.leBGUE028L true
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 23:20:48 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
% 0.52/0.65  % Total configuration time : 435
% 0.52/0.65  % Estimated wc time : 1092
% 0.52/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % Solved by fo/fo6_bce.sh.
% 0.55/0.74  % BCE start: 51
% 0.55/0.74  % BCE eliminated: 0
% 0.55/0.74  % PE start: 51
% 0.55/0.74  logic: neq
% 0.55/0.74  % PE eliminated: 12
% 0.55/0.74  % done 31 iterations in 0.019s
% 0.55/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.74  % SZS output start Refutation
% See solution above
% 0.55/0.74  
% 0.55/0.74  
% 0.55/0.74  % Terminating...
% 0.55/0.76  % Runner terminated.
% 0.55/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------