%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO225+2 : 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.PeLScinBkY true
% Computer : n013.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 04:34:24 PM UTC 2025
% Result : Theorem 0.54s 0.80s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 126 ( 16 ~; 13 |; 7 &; 84 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 23 !; 2 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(line_type,type,
line: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(distinct_points_type,type,
distinct_points: $i > $i > $o ).
thf(apart_point_and_line_type,type,
apart_point_and_line: $i > $i > $o ).
thf(line_connecting_type,type,
line_connecting: $i > $i > $i ).
thf(point_type,type,
point: $i > $o ).
thf(con,conjecture,
! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B )
& ( distinct_points @ A @ B ) )
=> ? [X: $i] :
( ( line @ X )
=> ( ~ ( apart_point_and_line @ A @ X )
& ~ ( apart_point_and_line @ B @ X ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B )
& ( distinct_points @ A @ B ) )
=> ? [X: $i] :
( ( line @ X )
=> ( ~ ( apart_point_and_line @ A @ X )
& ~ ( apart_point_and_line @ B @ X ) ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl20,plain,
distinct_points @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
! [X1: $i] :
( ( apart_point_and_line @ sk_ @ X1 )
| ( apart_point_and_line @ sk__1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(con1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( distinct_points @ X @ Y )
=> ( ( apart_point_and_line @ Z @ ( line_connecting @ X @ Y ) )
=> ( ( distinct_points @ Z @ X )
& ( distinct_points @ Z @ Y ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ( distinct_points @ X2 @ X1 )
| ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[con1]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ sk_ @ ( line_connecting @ X1 @ X0 ) )
| ~ ( distinct_points @ X1 @ X0 )
| ( distinct_points @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl6]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ( distinct_points @ X2 @ X0 )
| ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[con1]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i] :
( ( distinct_points @ sk__1 @ X0 )
| ~ ( distinct_points @ X1 @ X0 )
| ~ ( distinct_points @ X1 @ X0 )
| ( distinct_points @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl7]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ( distinct_points @ sk_ @ X1 )
| ~ ( distinct_points @ X1 @ X0 )
| ( distinct_points @ sk__1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl86,plain,
( ( distinct_points @ sk_ @ sk_ )
| ( distinct_points @ sk__1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl66]) ).
thf(apart1,axiom,
! [X: $i] :
~ ( distinct_points @ X @ X ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl90,plain,
distinct_points @ sk__1 @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl0]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl91,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO225+2 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PeLScinBkY true
% 0.13/0.35 % Computer : n013.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 17:48:23 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
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.80 % Solved by fo/fo6_bce.sh.
% 0.54/0.80 % BCE start: 23
% 0.54/0.80 % BCE eliminated: 6
% 0.54/0.80 % PE start: 17
% 0.54/0.80 logic: neq
% 0.54/0.80 % PE eliminated: 0
% 0.54/0.80 % done 29 iterations in 0.022s
% 0.54/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.80 % SZS output start Refutation
% See solution above
% 0.54/0.80
% 0.54/0.80
% 0.54/0.80 % Terminating...
% 0.61/0.87 % Runner terminated.
% 0.61/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------