TSTP Solution File: GEO260+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AnWKM0ymMC 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 23:58:09 EDT 2023

% Result   : Theorem 17.55s 3.14s
% Output   : Refutation 17.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   62 (  17 unt;   8 typ;   0 def)
%            Number of atoms       :  128 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  434 (  39   ~;  59   |;  10   &; 321   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   2 con; 0-4 aty)
%            Number of variables   :   94 (   0   ^;  94   !;   0   ?;  94   :)

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

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

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

thf(line_type,type,
    line: $i > $o ).

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

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

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

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

thf(zip_derived_cl63,plain,
    line @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63_001,plain,
    line @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(oag8,axiom,
    ! [L: $i,M: $i] :
      ( ( ( line @ L )
        & ( line @ M ) )
     => ( ( unequally_directed_lines @ L @ M )
        | ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( line @ X0 )
      | ~ ( line @ X1 )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(cnf,[status(esa)],[oag8]) ).

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_cl165,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( unequally_directed_lines @ X1 @ X0 )
      | ~ ( line @ X0 )
      | ~ ( line @ X1 )
      | ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl30]) ).

thf(zip_derived_cl387,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ~ ( line @ X1 )
      | ( unequally_directed_lines @ X1 @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl165]) ).

thf(zip_derived_cl391,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ sk_ )
      | ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl387]) ).

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_cl392,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl29]) ).

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_cl193,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_cl194,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl193,zip_derived_cl41]) ).

thf(zip_derived_cl395,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) )
      | ~ ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl194]) ).

thf(zip_derived_cl392_003,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl29]) ).

thf(zip_derived_cl406,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl395,zip_derived_cl392]) ).

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_cl424,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X1 )
      | ( unequally_directed_lines @ sk_ @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl30]) ).

thf(zip_derived_cl392_005,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl391,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_cl393,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl30]) ).

thf(zip_derived_cl194_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl193,zip_derived_cl41]) ).

thf(zip_derived_cl1244,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk_ @ X1 )
      | ~ ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl194]) ).

thf(zip_derived_cl1296,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ sk_ @ sk_ )
      | ( unequally_directed_lines @ sk_ @ X1 )
      | ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl1244]) ).

thf(zip_derived_cl29_008,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag5]) ).

thf(zip_derived_cl13057,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk_ @ X1 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1296,zip_derived_cl29]) ).

thf(zip_derived_cl13226,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ X0 @ ( reverse_line @ X0 ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl13057]) ).

thf(oagco9,axiom,
    ! [A: $i,B: $i] :
      ~ ( unequally_directed_lines @ ( line_connecting @ A @ B ) @ ( reverse_line @ ( line_connecting @ B @ A ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unequally_directed_lines @ ( line_connecting @ X0 @ X1 ) @ ( reverse_line @ ( line_connecting @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[oagco9]) ).

thf(zip_derived_cl13900,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk_ @ ( line_connecting @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13226,zip_derived_cl52]) ).

thf(zip_derived_cl393_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl30]) ).

thf(zip_derived_cl395_010,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) )
      | ~ ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl194]) ).

thf(zip_derived_cl1249,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ X0 )
      | ( unequally_directed_lines @ sk_ @ X1 )
      | ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl395]) ).

thf(zip_derived_cl194_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl193,zip_derived_cl41]) ).

thf(zip_derived_cl12309,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( reverse_line @ X0 ) ) )
      | ( unequally_directed_lines @ sk_ @ X1 )
      | ~ ( unequally_directed_lines @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1249,zip_derived_cl194]) ).

thf(zip_derived_cl13955,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ sk_ )
      | ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13900,zip_derived_cl12309]) ).

thf(zip_derived_cl29_012,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag5]) ).

thf(zip_derived_cl13962,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl13955,zip_derived_cl29]) ).

thf(zip_derived_cl194_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl193,zip_derived_cl41]) ).

thf(zip_derived_cl14510,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13962,zip_derived_cl194]) ).

thf(zip_derived_cl13900_014,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk_ @ ( line_connecting @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13226,zip_derived_cl52]) ).

thf(zip_derived_cl30_015,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_cl13952,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ ( line_connecting @ X0 @ X0 ) @ X1 )
      | ( unequally_directed_lines @ sk_ @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13900,zip_derived_cl30]) ).

thf(zip_derived_cl52_016,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unequally_directed_lines @ ( line_connecting @ X0 @ X1 ) @ ( reverse_line @ ( line_connecting @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[oagco9]) ).

thf(zip_derived_cl14683,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13952,zip_derived_cl52]) ).

thf(zip_derived_cl14715,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl14510,zip_derived_cl14683]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% 0.10/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AnWKM0ymMC true
% 0.11/0.33  % Computer : n012.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Tue Aug 29 21:38:23 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.18/0.60  % Total configuration time : 435
% 0.18/0.60  % Estimated wc time : 1092
% 0.18/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.72  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 17.55/3.14  % Solved by fo/fo3_bce.sh.
% 17.55/3.14  % BCE start: 65
% 17.55/3.14  % BCE eliminated: 0
% 17.55/3.14  % PE start: 65
% 17.55/3.14  logic: neq
% 17.55/3.14  % PE eliminated: 8
% 17.55/3.14  % done 3172 iterations in 2.426s
% 17.55/3.14  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.55/3.14  % SZS output start Refutation
% See solution above
% 17.55/3.14  
% 17.55/3.14  
% 17.55/3.14  % Terminating...
% 17.55/3.23  % Runner terminated.
% 17.55/3.24  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------