%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO198+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vf2FHnHxth true
% Computer : n025.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 04:34:14 PM UTC 2025
% Result : Theorem 7.36s 1.65s
% Output : Refutation 7.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 117 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 428 ( 39 ~; 45 |; 7 &; 324 @)
% ( 0 <=>; 8 =>; 5 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 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 : 67 ( 0 ^; 67 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
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(intersection_point_type,type,
intersection_point: $i > $i > $i ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(con,conjecture,
! [X: $i,Y: $i,Z: $i] :
( ( ( convergent_lines @ X @ Y )
& ( convergent_lines @ Z @ Y )
& ( convergent_lines @ X @ Z )
& ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Z ) )
=> ~ ( apart_point_and_line @ ( intersection_point @ X @ Z ) @ Y ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i,Z: $i] :
( ( ( convergent_lines @ X @ Y )
& ( convergent_lines @ Z @ Y )
& ( convergent_lines @ X @ Z )
& ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Z ) )
=> ~ ( apart_point_and_line @ ( intersection_point @ X @ Z ) @ Y ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl16,plain,
convergent_lines @ sk_ @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(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_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X1 @ X0 )
| ( distinct_lines @ X1 @ X2 )
| ( distinct_lines @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( distinct_lines @ sk_ @ X0 )
| ( distinct_lines @ sk__2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl23]) ).
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_cl56,plain,
distinct_lines @ sk_ @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl1]) ).
thf(zip_derived_cl18,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14,plain,
apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(apart4,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( distinct_points @ X @ Y )
=> ( ( distinct_points @ X @ Z )
| ( distinct_points @ Y @ Z ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ( distinct_points @ X0 @ X2 )
| ( distinct_points @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[apart4]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( apart_point_and_line @ X2 @ X0 )
| ~ ( convergent_lines @ X1 @ X0 )
| ( distinct_points @ X2 @ X3 )
| ( distinct_points @ ( intersection_point @ X1 @ X0 ) @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl3]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i] :
( ~ ( convergent_lines @ X0 @ sk__1 )
| ( distinct_points @ ( intersection_point @ sk_ @ sk__2 ) @ X1 )
| ( distinct_points @ ( intersection_point @ X0 @ sk__1 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl55]) ).
thf(zip_derived_cl117,plain,
! [X0: $i] :
( ( distinct_points @ ( intersection_point @ sk_ @ sk__2 ) @ X0 )
| ( distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl100]) ).
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_cl159,plain,
distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl0]) ).
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_cl163,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ X0 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X0 )
| ~ ( distinct_lines @ X0 @ X1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl10]) ).
thf(zip_derived_cl2108,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl163]) ).
thf(zip_derived_cl15,plain,
~ ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2160,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2108,zip_derived_cl15]) ).
thf(zip_derived_cl2314,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_ )
<= ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl2160]) ).
thf(zip_derived_cl2312,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
<= ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl2160]) ).
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_cl0_001,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X1 @ X0 ) @ X1 )
| ~ ( convergent_lines @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl2319,plain,
( ~ ( convergent_lines @ sk_ @ sk__1 )
<= ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2312,zip_derived_cl70]) ).
thf(zip_derived_cl18_002,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
~ ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl2319,zip_derived_cl18]) ).
thf(zip_derived_cl2313,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk__2 )
<= ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk__2 ) ),
inference(split,[status(esa)],[zip_derived_cl2160]) ).
thf(zip_derived_cl8_003,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_cl0_004,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X1 @ X0 ) @ X0 )
| ~ ( convergent_lines @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl2358,plain,
( ~ ( convergent_lines @ sk_ @ sk__2 )
<= ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2313,zip_derived_cl54]) ).
thf(zip_derived_cl16_005,plain,
convergent_lines @ sk_ @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
~ ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl2358,zip_derived_cl16]) ).
thf('2',plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk__2 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl2160]) ).
thf('3',plain,
apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_,
inference('sat_resolution*',[status(thm)],['0','1','2']) ).
thf(zip_derived_cl2360,plain,
apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk_,
inference(simpl_trail,[status(thm)],[zip_derived_cl2314,'3']) ).
thf(zip_derived_cl70_006,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X1 @ X0 ) @ X1 )
| ~ ( convergent_lines @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl2365,plain,
~ ( convergent_lines @ sk_ @ sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2360,zip_derived_cl70]) ).
thf(zip_derived_cl16_007,plain,
convergent_lines @ sk_ @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2366,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2365,zip_derived_cl16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : GEO198+2 : TPTP v9.2.0. Released v3.3.0.
% 0.02/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vf2FHnHxth true
% 0.12/0.36 % Computer : n025.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Oct 1 17:31:38 EDT 2025
% 0.19/0.36 % CPUTime :
% 0.19/0.36 % Running portfolio for 300 s
% 0.19/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36 % Number of cores: 8
% 0.19/0.36 % Python version: Python 3.6.8
% 0.19/0.37 % Running in FO mode
% 0.46/0.62 % Total configuration time : 435
% 0.46/0.62 % Estimated wc time : 1092
% 0.46/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.36/1.65 % Solved by fo/fo1_av.sh.
% 7.36/1.65 % done 515 iterations in 0.877s
% 7.36/1.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.36/1.65 % SZS output start Refutation
% See solution above
% 7.36/1.65
% 7.36/1.65
% 7.36/1.65 % Terminating...
% 7.74/1.78 % Runner terminated.
% 7.77/1.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------