TSTP Solution File: GEO258+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO258+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.M2ZfTCoCNS true

% Computer : n012.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 23:58:08 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   36 (  13 unt;   6 typ;   0 def)
%            Number of atoms       :   56 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  229 (  21   ~;  21   |;   2   &; 182   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   5 con; 0-4 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

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

thf(sk__3_type,type,
    sk__3: $i ).

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

thf(between_on_line_type,type,
    between_on_line: $i > $i > $i > $i > $o ).

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

thf(a9_defns,axiom,
    ! [L: $i,A: $i,B: $i,C: $i] :
      ( ( between_on_line @ L @ A @ B @ C )
    <=> ( ( ( before_on_line @ L @ A @ B )
          & ( before_on_line @ L @ B @ C ) )
        | ( ( before_on_line @ L @ C @ B )
          & ( before_on_line @ L @ B @ A ) ) ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( between_on_line @ X0 @ X1 @ X2 @ X3 )
      | ~ ( before_on_line @ X0 @ X1 @ X2 )
      | ~ ( before_on_line @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[a9_defns]) ).

thf(con,conjecture,
    ! [L: $i,A: $i,B: $i,C: $i] :
      ( ( between_on_line @ L @ A @ B @ C )
     => ( between_on_line @ L @ C @ B @ A ) ) ).

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

thf(zip_derived_cl68,plain,
    ~ ( between_on_line @ sk_ @ sk__3 @ sk__2 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124,plain,
    ( ~ ( before_on_line @ sk_ @ sk__2 @ sk__1 )
    | ~ ( before_on_line @ sk_ @ sk__3 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl31,zip_derived_cl68]) ).

thf(zip_derived_cl67,plain,
    between_on_line @ sk_ @ sk__1 @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( before_on_line @ X0 @ X1 @ X2 )
      | ( before_on_line @ X0 @ X2 @ X1 )
      | ~ ( between_on_line @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[a9_defns]) ).

thf(zip_derived_cl133,plain,
    ( ( before_on_line @ sk_ @ sk__1 @ sk__2 )
    | ( before_on_line @ sk_ @ sk__2 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl30]) ).

thf(zip_derived_cl67_001,plain,
    between_on_line @ sk_ @ sk__1 @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( before_on_line @ X0 @ X1 @ X2 )
      | ( before_on_line @ X0 @ X1 @ X3 )
      | ~ ( between_on_line @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[a9_defns]) ).

thf(zip_derived_cl132,plain,
    ( ( before_on_line @ sk_ @ sk__2 @ sk__3 )
    | ( before_on_line @ sk_ @ sk__2 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl29]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( between_on_line @ X0 @ X1 @ X2 @ X3 )
      | ~ ( before_on_line @ X0 @ X3 @ X2 )
      | ~ ( before_on_line @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[a9_defns]) ).

thf(zip_derived_cl68_002,plain,
    ~ ( between_on_line @ sk_ @ sk__3 @ sk__2 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129,plain,
    ( ~ ( before_on_line @ sk_ @ sk__2 @ sk__3 )
    | ~ ( before_on_line @ sk_ @ sk__1 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl68]) ).

thf(zip_derived_cl214,plain,
    ( ( before_on_line @ sk_ @ sk__2 @ sk__1 )
    | ~ ( before_on_line @ sk_ @ sk__1 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl129]) ).

thf(zip_derived_cl241,plain,
    before_on_line @ sk_ @ sk__2 @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl133,zip_derived_cl214]) ).

thf(zip_derived_cl242,plain,
    ~ ( before_on_line @ sk_ @ sk__3 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl241]) ).

thf(zip_derived_cl67_003,plain,
    between_on_line @ sk_ @ sk__1 @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( before_on_line @ X0 @ X1 @ X2 )
      | ( before_on_line @ X0 @ X3 @ X2 )
      | ~ ( between_on_line @ X0 @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[a9_defns]) ).

thf(zip_derived_cl131,plain,
    ( ( before_on_line @ sk_ @ sk__1 @ sk__2 )
    | ( before_on_line @ sk_ @ sk__3 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl28]) ).

thf(zip_derived_cl129_004,plain,
    ( ~ ( before_on_line @ sk_ @ sk__2 @ sk__3 )
    | ~ ( before_on_line @ sk_ @ sk__1 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl68]) ).

thf(zip_derived_cl67_005,plain,
    between_on_line @ sk_ @ sk__1 @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( before_on_line @ X0 @ X1 @ X2 )
      | ( before_on_line @ X0 @ X2 @ X1 )
      | ~ ( between_on_line @ X0 @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[a9_defns]) ).

thf(zip_derived_cl130,plain,
    ( ( before_on_line @ sk_ @ sk__2 @ sk__3 )
    | ( before_on_line @ sk_ @ sk__3 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl27]) ).

thf(zip_derived_cl242_006,plain,
    ~ ( before_on_line @ sk_ @ sk__3 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl241]) ).

thf(zip_derived_cl246,plain,
    before_on_line @ sk_ @ sk__2 @ sk__3,
    inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl242]) ).

thf(zip_derived_cl254,plain,
    ~ ( before_on_line @ sk_ @ sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl246]) ).

thf(zip_derived_cl261,plain,
    before_on_line @ sk_ @ sk__3 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl254]) ).

thf(zip_derived_cl269,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl261]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.M2ZfTCoCNS true
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 29 23:01:24 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % Solved by fo/fo6_bce.sh.
% 0.21/0.75  % BCE start: 69
% 0.21/0.75  % BCE eliminated: 0
% 0.21/0.75  % PE start: 69
% 0.21/0.75  logic: neq
% 0.21/0.75  % PE eliminated: 22
% 0.21/0.75  % done 99 iterations in 0.044s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 1.62/0.84  % Runner terminated.
% 1.62/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------