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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO215+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MhbKfyRQMG 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 04:34:20 PM UTC 2025

% Result   : Theorem 0.57s 1.09s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   31 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   67 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  197 (  19   ~;  29   |;   0   &; 142   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   47 (   0   ^;  47   !;   0   ?;  47   :)

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

thf(convergent_lines_type,type,
    convergent_lines: $i > $i > $o ).

thf(con,conjecture,
    ! [L: $i,M: $i,N: $i] :
      ( ( convergent_lines @ L @ M )
     => ( ( unorthogonal_lines @ L @ N )
        | ( unorthogonal_lines @ M @ N ) ) ) ).

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

thf(zip_derived_cl28,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ceq3,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( distinct_lines @ Y @ Z )
        | ( convergent_lines @ X @ Z ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( distinct_lines @ X1 @ X2 )
      | ( convergent_lines @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ceq3]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ sk_ @ X0 )
      | ( distinct_lines @ sk__1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl13]) ).

thf(apart5,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( distinct_lines @ X @ Y )
     => ( ( distinct_lines @ X @ Z )
        | ( distinct_lines @ Y @ Z ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_lines @ X0 @ X1 )
      | ( distinct_lines @ X0 @ X2 )
      | ( distinct_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart5]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ( convergent_lines @ sk_ @ X0 )
      | ( distinct_lines @ X0 @ X1 )
      | ( distinct_lines @ sk__1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl4]) ).

thf(apart3,axiom,
    ! [X: $i] :
      ~ ( convergent_lines @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( convergent_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart3]) ).

thf(zip_derived_cl394,plain,
    ! [X0: $i] :
      ( ( distinct_lines @ sk__1 @ X0 )
      | ( distinct_lines @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl2]) ).

thf(apart2,axiom,
    ! [X: $i] :
      ~ ( distinct_lines @ X @ X ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ~ ( distinct_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart2]) ).

thf(zip_derived_cl409,plain,
    distinct_lines @ sk__1 @ sk_,
    inference('sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl1]) ).

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_cl426,plain,
    ! [X0: $i,X1: $i] :
      ( ( unorthogonal_lines @ sk_ @ X0 )
      | ( unorthogonal_lines @ sk__1 @ X0 )
      | ( apart_point_and_line @ X1 @ sk__1 )
      | ( apart_point_and_line @ X1 @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl25]) ).

thf(zip_derived_cl27,plain,
    ~ ( unorthogonal_lines @ sk_ @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1085,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ X0 @ sk_ )
      | ( apart_point_and_line @ X0 @ sk__1 )
      | ( unorthogonal_lines @ sk__1 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl27]) ).

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

thf(zip_derived_cl1232,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ X0 @ sk__1 )
      | ( apart_point_and_line @ X0 @ sk_ ) ),
    inference(clc,[status(thm)],[zip_derived_cl1085,zip_derived_cl26]) ).

thf(ci3,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ X ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X0 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci3]) ).

thf(zip_derived_cl1235,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ ( intersection_point @ sk_ @ X0 ) @ sk__1 )
      | ~ ( convergent_lines @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1232,zip_derived_cl8]) ).

thf(ci4,axiom,
    ! [X: $i,Y: $i] :
      ( ( convergent_lines @ X @ Y )
     => ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Y ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ci4]) ).

thf(zip_derived_cl1239,plain,
    ( ~ ( convergent_lines @ sk_ @ sk__1 )
    | ~ ( convergent_lines @ sk_ @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1235,zip_derived_cl9]) ).

thf(zip_derived_cl28_001,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28_002,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1240,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1239,zip_derived_cl28,zip_derived_cl28]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO215+1 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MhbKfyRQMG 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 17:42:53 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.54/0.65  % Total configuration time : 435
% 0.54/0.65  % Estimated wc time : 1092
% 0.54/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/1.09  % Solved by fo/fo4.sh.
% 0.57/1.09  % done 380 iterations in 0.291s
% 0.57/1.09  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.09  % SZS output start Refutation
% See solution above
% 0.57/1.09  
% 0.57/1.09  
% 0.57/1.09  % Terminating...
% 4.06/1.22  % Runner terminated.
% 4.06/1.23  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------