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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO234+1 : TPTP v9.2.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ksgtNfgpre true

% Computer : n026.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 : Thu Oct  2 04:34:26 PM UTC 2025

% Result   : Theorem 0.59s 0.84s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   42 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   86 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  280 (  28   ~;  39   |;   1   &; 208   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   58 (   0   ^;  58   !;   0   ?;  58   :)

% 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_cl61,plain,
    unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ),
    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_cl110,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl30]) ).

thf(zip_derived_cl30_001,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_ @ X0 )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl30]) ).

thf(zip_derived_cl117_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,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_cl284,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ X0 @ ( reverse_line @ sk__1 ) )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl117,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_cl150,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_003,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag11]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl41]) ).

thf(zip_derived_cl319,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ~ ( unequally_directed_lines @ X0 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl151]) ).

thf(zip_derived_cl334,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ sk__1 )
      | ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl319]) ).

thf(zip_derived_cl341,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl334]) ).

thf(zip_derived_cl151_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl41]) ).

thf(zip_derived_cl402,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ sk__1 )
      | ~ ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl151]) ).

thf(zip_derived_cl341_005,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl334]) ).

thf(zip_derived_cl413,plain,
    unequally_directed_lines @ ( reverse_line @ sk__1 ) @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl402,zip_derived_cl341]) ).

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_cl414,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__1 @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl30]) ).

thf(zip_derived_cl151_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl41]) ).

thf(zip_derived_cl110_008,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl30]) ).

thf(zip_derived_cl156,plain,
    ! [X0: $i] :
      ( ~ ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl110]) ).

thf(zip_derived_cl433,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__1 @ X0 )
      | ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl156]) ).

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

thf(zip_derived_cl449,plain,
    unequally_directed_lines @ sk_ @ ( reverse_line @ ( reverse_line @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl59]) ).

thf(zip_derived_cl151_009,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl41]) ).

thf(zip_derived_cl455,plain,
    ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl151]) ).

thf(zip_derived_cl156_010,plain,
    ! [X0: $i] :
      ( ~ ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl110]) ).

thf(zip_derived_cl110_011,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk__1 ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl30]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl156,zip_derived_cl110]) ).

thf(zip_derived_cl458,plain,
    unequally_directed_lines @ sk_ @ sk__2,
    inference('sup+',[status(thm)],[zip_derived_cl455,zip_derived_cl168]) ).

thf(zip_derived_cl461,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl458]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO234+1 : TPTP v9.2.0. Bugfixed v6.4.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ksgtNfgpre true
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 17:36:53 EDT 2025
% 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
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.83  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.84  % Solved by fo/fo3_bce.sh.
% 0.59/0.84  % BCE start: 62
% 0.59/0.84  % BCE eliminated: 0
% 0.59/0.84  % PE start: 62
% 0.59/0.84  logic: neq
% 0.59/0.84  % PE eliminated: 21
% 0.59/0.84  % done 152 iterations in 0.063s
% 0.59/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.84  % SZS output start Refutation
% See solution above
% 0.59/0.84  
% 0.59/0.84  
% 0.59/0.84  % Terminating...
% 1.79/0.96  % Runner terminated.
% 1.79/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------