TSTP Solution File: GEO221+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hxyIrpChrb true

% Computer : n023.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 23:57:46 EDT 2023

% Result   : Theorem 0.54s 0.82s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   23 (   9 unt;   7 typ;   0 def)
%            Number of atoms       :   32 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  138 (  12   ~;  13   |;   0   &; 110   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   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   :   28 (   0   ^;  28   !;   0   ?;  28   :)

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

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

thf(unorthogonal_lines_type,type,
    unorthogonal_lines: $i > $i > $o ).

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

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

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

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

thf(con,conjecture,
    ! [A: $i,B: $i,L: $i] :
      ( ~ ( apart_point_and_line @ B @ ( orthogonal_through_point @ L @ A ) )
     => ~ ( distinct_lines @ ( orthogonal_through_point @ L @ A ) @ ( orthogonal_through_point @ L @ B ) ) ) ).

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

thf(zip_derived_cl26,plain,
    ~ ( apart_point_and_line @ sk__1 @ ( orthogonal_through_point @ sk__2 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    distinct_lines @ ( orthogonal_through_point @ sk__2 @ sk_ ) @ ( orthogonal_through_point @ sk__2 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ouo1,axiom,
    ! [A: $i,L: $i,M: $i,N: $i] :
      ( ( distinct_lines @ L @ M )
     => ( ( apart_point_and_line @ A @ L )
        | ( apart_point_and_line @ A @ M )
        | ( unorthogonal_lines @ L @ N )
        | ( unorthogonal_lines @ M @ N ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( apart_point_and_line @ X0 @ X1 )
      | ( apart_point_and_line @ X0 @ X2 )
      | ~ ( distinct_lines @ X2 @ X1 )
      | ( unorthogonal_lines @ X2 @ X3 )
      | ( unorthogonal_lines @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ouo1]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ sk__2 @ sk__1 ) )
      | ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ sk__2 @ sk_ ) )
      | ( unorthogonal_lines @ ( orthogonal_through_point @ sk__2 @ sk_ ) @ X1 )
      | ( unorthogonal_lines @ ( orthogonal_through_point @ sk__2 @ sk__1 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl25]) ).

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

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[ooc1]) ).

thf(zip_derived_cl189,plain,
    ! [X0: $i] :
      ( ( unorthogonal_lines @ ( orthogonal_through_point @ sk__2 @ sk_ ) @ sk__2 )
      | ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ sk__2 @ sk_ ) )
      | ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ sk__2 @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl23]) ).

thf(zip_derived_cl23_001,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[ooc1]) ).

thf(zip_derived_cl428,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ sk__2 @ sk__1 ) )
      | ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ sk__2 @ sk_ ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl189,zip_derived_cl23]) ).

thf(ooc2,axiom,
    ! [A: $i,L: $i] :
      ~ ( apart_point_and_line @ A @ ( orthogonal_through_point @ L @ A ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ~ ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ooc2]) ).

thf(zip_derived_cl431,plain,
    apart_point_and_line @ sk__1 @ ( orthogonal_through_point @ sk__2 @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl24]) ).

thf(zip_derived_cl458,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl431]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hxyIrpChrb true
% 0.12/0.34  % Computer : n023.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 19:22:24 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.48/0.62  % Total configuration time : 435
% 0.48/0.62  % Estimated wc time : 1092
% 0.48/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73  % /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
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.82  % Solved by fo/fo6_bce.sh.
% 0.54/0.82  % BCE start: 28
% 0.54/0.82  % BCE eliminated: 0
% 0.54/0.82  % PE start: 28
% 0.54/0.82  logic: neq
% 0.54/0.82  % PE eliminated: 1
% 0.54/0.82  % done 103 iterations in 0.121s
% 0.54/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.82  % SZS output start Refutation
% See solution above
% 0.54/0.82  
% 0.54/0.82  
% 0.54/0.82  % Terminating...
% 0.59/0.92  % Runner terminated.
% 2.12/0.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------