TSTP Solution File: GEO231+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xo7WhoapZN 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 23:57:53 EDT 2023

% Result   : Theorem 0.51s 0.95s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   41 (  13 unt;   6 typ;   0 def)
%            Number of atoms       :   73 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  235 (  29   ~;  31   |;   3   &; 168   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   52 (   0   ^;  52   !;   0   ?;  52   :)

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

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

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

thf(unequally_directed_lines_type,type,
    unequally_directed_lines: $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(con,conjecture,
    ! [L: $i,M: $i,N: $i] :
      ( ( ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
        & ~ ( unequally_directed_lines @ L @ N ) )
     => ~ ( unequally_directed_lines @ M @ ( reverse_line @ N ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i,M: $i,N: $i] :
        ( ( ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
          & ~ ( unequally_directed_lines @ L @ N ) )
       => ~ ( unequally_directed_lines @ M @ ( reverse_line @ N ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl60,plain,
    ~ ( unequally_directed_lines @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    unequally_directed_lines @ sk__1 @ ( reverse_line @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(oag6,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_cl30,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)],[oag6]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__1 @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ sk__2 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl30]) ).

thf(zip_derived_cl109_001,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__1 @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ sk__2 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl30]) ).

thf(oag9,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_cl37,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)],[oag9]) ).

thf(oag11,axiom,
    ! [L: $i,M: $i] :
      ~ ( ( left_convergent_lines @ L @ M )
        | ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag11]) ).

thf(zip_derived_cl92,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_cl37,zip_derived_cl41]) ).

thf(zip_derived_cl41_002,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag11]) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl41]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__1 @ ( reverse_line @ X0 ) )
      | ~ ( unequally_directed_lines @ ( reverse_line @ sk__2 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl93]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__1 @ X0 )
      | ( unequally_directed_lines @ sk__1 @ ( reverse_line @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl114]) ).

thf(zip_derived_cl30_003,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)],[oag6]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__1 @ X0 )
      | ( unequally_directed_lines @ sk__1 @ X1 )
      | ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl30]) ).

thf(zip_derived_cl30_004,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)],[oag6]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( unequally_directed_lines @ sk__1 @ X0 )
      | ( unequally_directed_lines @ sk__1 @ X1 )
      | ( unequally_directed_lines @ ( reverse_line @ X1 ) @ X2 )
      | ( unequally_directed_lines @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl30]) ).

thf(oag5,axiom,
    ! [L: $i] :
      ~ ( unequally_directed_lines @ L @ L ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag5]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk__1 @ X0 )
      | ( unequally_directed_lines @ sk__1 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl29]) ).

thf(zip_derived_cl61,plain,
    ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl615,plain,
    ( ( unequally_directed_lines @ sk__1 @ sk_ )
    | ( unequally_directed_lines @ sk__1 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl61]) ).

thf(zip_derived_cl29_005,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag5]) ).

thf(zip_derived_cl627,plain,
    unequally_directed_lines @ sk__1 @ sk_,
    inference(clc,[status(thm)],[zip_derived_cl615,zip_derived_cl29]) ).

thf(zip_derived_cl30_006,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)],[oag6]) ).

thf(zip_derived_cl628,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__1 @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl627,zip_derived_cl30]) ).

thf(zip_derived_cl59_007,plain,
    unequally_directed_lines @ sk__1 @ ( reverse_line @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93_008,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl41]) ).

thf(zip_derived_cl102,plain,
    ~ ( unequally_directed_lines @ sk__1 @ sk__2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl93]) ).

thf(zip_derived_cl640,plain,
    unequally_directed_lines @ sk_ @ sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl102]) ).

thf(zip_derived_cl643,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl640]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.05/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xo7WhoapZN true
% 0.10/0.32  % Computer : n010.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue Aug 29 20:42:48 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in FO mode
% 0.17/0.61  % Total configuration time : 435
% 0.17/0.61  % Estimated wc time : 1092
% 0.17/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.95  % Solved by fo/fo13.sh.
% 0.51/0.95  % done 180 iterations in 0.219s
% 0.51/0.95  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.95  % SZS output start Refutation
% See solution above
% 0.51/0.95  
% 0.51/0.95  
% 0.51/0.95  % Terminating...
% 1.65/1.03  % Runner terminated.
% 1.65/1.05  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------