%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO186+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.3skG60b2AD true
% Computer : n003.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 04:34:09 PM UTC 2025
% Result : Theorem 0.55s 0.94s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 82 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 278 ( 27 ~; 33 |; 7 &; 204 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(sk__type,type,
sk_: $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(intersection_point_type,type,
intersection_point: $i > $i > $i ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
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(con,conjecture,
! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( distinct_points @ X @ Y )
& ( convergent_lines @ U @ V )
& ~ ( apart_point_and_line @ X @ U )
& ~ ( apart_point_and_line @ X @ V ) )
=> ~ ( distinct_points @ X @ ( intersection_point @ U @ V ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( distinct_points @ X @ Y )
& ( convergent_lines @ U @ V )
& ~ ( apart_point_and_line @ X @ U )
& ~ ( apart_point_and_line @ X @ V ) )
=> ~ ( distinct_points @ X @ ( intersection_point @ U @ V ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl16,plain,
convergent_lines @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(apart6,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( convergent_lines @ X @ Y )
=> ( ( convergent_lines @ X @ Z )
| ( convergent_lines @ Y @ Z ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X0 @ X1 )
| ( convergent_lines @ X0 @ X2 )
| ( convergent_lines @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[apart6]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( convergent_lines @ sk__3 @ X0 )
| ( convergent_lines @ sk__2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl5]) ).
thf(ceq3,axiom,
! [X: $i,Y: $i] :
( ( convergent_lines @ X @ Y )
=> ( distinct_lines @ X @ Y ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( distinct_lines @ X0 @ X1 )
| ~ ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ceq3]) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ( convergent_lines @ sk__2 @ X0 )
| ( distinct_lines @ sk__3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl13]) ).
thf(zip_derived_cl13_001,plain,
! [X0: $i,X1: $i] :
( ( distinct_lines @ X0 @ X1 )
| ~ ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ceq3]) ).
thf(zip_derived_cl16_002,plain,
convergent_lines @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
distinct_lines @ sk__2 @ sk__3,
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl16]) ).
thf(zip_derived_cl14,plain,
distinct_points @ sk_ @ ( intersection_point @ sk__2 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(cu1,axiom,
! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( distinct_points @ X @ Y )
& ( distinct_lines @ U @ V ) )
=> ( ( apart_point_and_line @ X @ U )
| ( apart_point_and_line @ X @ V )
| ( apart_point_and_line @ Y @ U )
| ( apart_point_and_line @ Y @ V ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( apart_point_and_line @ X0 @ X1 )
| ( apart_point_and_line @ X2 @ X1 )
| ~ ( distinct_points @ X2 @ X0 )
| ~ ( distinct_lines @ X1 @ X3 )
| ( apart_point_and_line @ X2 @ X3 )
| ( apart_point_and_line @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[cu1]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ X0 )
| ( apart_point_and_line @ sk_ @ X0 )
| ~ ( distinct_lines @ X1 @ X0 )
| ( apart_point_and_line @ sk_ @ X1 )
| ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl10]) ).
thf(zip_derived_cl212,plain,
( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__2 )
| ( apart_point_and_line @ sk_ @ sk__2 )
| ( apart_point_and_line @ sk_ @ sk__3 )
| ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl57]) ).
thf(zip_derived_cl18,plain,
~ ( apart_point_and_line @ sk_ @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
~ ( apart_point_and_line @ sk_ @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl221,plain,
( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__2 )
| ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl18,zip_derived_cl15]) ).
thf(con2,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( convergent_lines @ X @ Y )
=> ( ( ( apart_point_and_line @ Z @ X )
| ( apart_point_and_line @ Z @ Y ) )
=> ( distinct_points @ Z @ ( intersection_point @ X @ Y ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X0 @ X1 )
| ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
| ~ ( apart_point_and_line @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[con2]) ).
thf(zip_derived_cl231,plain,
! [X0: $i] :
( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__2 )
| ( distinct_points @ ( intersection_point @ sk__2 @ sk__3 ) @ ( intersection_point @ X0 @ sk__3 ) )
| ~ ( convergent_lines @ X0 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl8]) ).
thf(zip_derived_cl242,plain,
( ( distinct_lines @ sk__3 @ sk__3 )
| ( distinct_points @ ( intersection_point @ sk__2 @ sk__3 ) @ ( intersection_point @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl231]) ).
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_cl0_003,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl255,plain,
apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__2,
inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X0 @ X1 )
| ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
| ~ ( apart_point_and_line @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[con2]) ).
thf(zip_derived_cl262,plain,
! [X0: $i] :
( ( distinct_points @ ( intersection_point @ sk__2 @ sk__3 ) @ ( intersection_point @ sk__2 @ X0 ) )
| ~ ( convergent_lines @ sk__2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl9]) ).
thf(zip_derived_cl307,plain,
~ ( convergent_lines @ sk__2 @ sk__3 ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl262]) ).
thf(zip_derived_cl16_004,plain,
convergent_lines @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl308,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO186+2 : TPTP v9.2.0. Released v3.3.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3skG60b2AD true
% 0.11/0.34 % Computer : n003.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Oct 1 17:26:38 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.35 % Python version: Python 3.6.8
% 0.11/0.35 % Running in FO mode
% 0.52/0.65 % Total configuration time : 435
% 0.52/0.65 % Estimated wc time : 1092
% 0.52/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.80 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.85 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.94 % Solved by fo/fo3_bce.sh.
% 0.55/0.94 % BCE start: 19
% 0.55/0.94 % BCE eliminated: 0
% 0.55/0.94 % PE start: 19
% 0.55/0.94 logic: neq
% 0.55/0.94 % PE eliminated: 0
% 0.55/0.94 % done 123 iterations in 0.091s
% 0.55/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.94 % SZS output start Refutation
% See solution above
% 0.55/0.95
% 0.55/0.95
% 0.55/0.95 % Terminating...
% 0.55/1.01 % Runner terminated.
% 1.91/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------