%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO177+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6AgjzvMKdn true
% Computer : n015.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 04:34:05 PM UTC 2025
% Result : Theorem 4.64s 1.28s
% Output : Refutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 114 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 411 ( 27 ~; 55 |; 3 &; 316 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 67 ( 0 ^; 67 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(line_connecting_type,type,
line_connecting: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(parallel_through_point_type,type,
parallel_through_point: $i > $i > $i ).
thf(distinct_points_type,type,
distinct_points: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(apart_point_and_line_type,type,
apart_point_and_line: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(con,conjecture,
! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( distinct_points @ X @ Y )
& ( distinct_points @ U @ V ) )
=> ( ( ( apart_point_and_line @ X @ ( line_connecting @ U @ V ) )
| ( apart_point_and_line @ Y @ ( line_connecting @ U @ V ) ) )
=> ( ( apart_point_and_line @ U @ ( line_connecting @ X @ Y ) )
| ( apart_point_and_line @ V @ ( line_connecting @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( distinct_points @ X @ Y )
& ( distinct_points @ U @ V ) )
=> ( ( ( apart_point_and_line @ X @ ( line_connecting @ U @ V ) )
| ( apart_point_and_line @ Y @ ( line_connecting @ U @ V ) ) )
=> ( ( apart_point_and_line @ U @ ( line_connecting @ X @ Y ) )
| ( apart_point_and_line @ V @ ( line_connecting @ X @ Y ) ) ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl48,plain,
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ceq2,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( apart_point_and_line @ X @ Y )
=> ( ( distinct_lines @ Y @ Z )
| ( apart_point_and_line @ X @ Z ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( apart_point_and_line @ X0 @ X1 )
| ( distinct_lines @ X1 @ X2 )
| ( apart_point_and_line @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ceq2]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( distinct_lines @ ( line_connecting @ sk__2 @ sk__3 ) @ X0 )
| ( apart_point_and_line @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl12]) ).
thf(p1,axiom,
! [X: $i,Y: $i] :
( ( distinct_lines @ X @ Y )
=> ( convergent_lines @ X @ Y ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ X0 @ X1 )
| ~ ( distinct_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl105,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk__1 @ X0 )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( convergent_lines @ ( line_connecting @ sk__2 @ sk__3 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl14]) ).
thf(ax6,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)],[ax6]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk__1 @ X0 )
| ( convergent_lines @ ( line_connecting @ sk__2 @ sk__3 ) @ X1 )
| ( convergent_lines @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl5]) ).
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_cl330,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk__1 @ X0 )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl2]) ).
thf(cp1,axiom,
! [X: $i,Y: $i] :
~ ( convergent_lines @ ( parallel_through_point @ Y @ X ) @ Y ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
~ ( convergent_lines @ ( parallel_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[cp1]) ).
thf(zip_derived_cl1068,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk__1 @ ( parallel_through_point @ ( line_connecting @ sk__2 @ sk__3 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl15]) ).
thf(cp2,axiom,
! [X: $i,Y: $i] :
~ ( apart_point_and_line @ X @ ( parallel_through_point @ Y @ X ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
~ ( apart_point_and_line @ X0 @ ( parallel_through_point @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[cp2]) ).
thf(zip_derived_cl1100,plain,
apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ sk__3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1068,zip_derived_cl16]) ).
thf(zip_derived_cl12_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( apart_point_and_line @ X0 @ X1 )
| ( distinct_lines @ X1 @ X2 )
| ( apart_point_and_line @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ceq2]) ).
thf(zip_derived_cl1108,plain,
! [X0: $i] :
( ( distinct_lines @ ( line_connecting @ sk__2 @ sk__3 ) @ X0 )
| ( apart_point_and_line @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1100,zip_derived_cl12]) ).
thf(zip_derived_cl50,plain,
distinct_points @ 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_cl90,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ sk__3 @ X0 )
| ( apart_point_and_line @ sk__2 @ X0 )
| ~ ( distinct_lines @ X0 @ X1 )
| ( apart_point_and_line @ sk__2 @ X1 )
| ( apart_point_and_line @ sk__3 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl10]) ).
thf(zip_derived_cl1213,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk_ @ X0 )
| ( apart_point_and_line @ sk__3 @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk__2 @ X0 )
| ( apart_point_and_line @ sk__3 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1108,zip_derived_cl90]) ).
thf(ci2,axiom,
! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ~ ( apart_point_and_line @ Y @ ( line_connecting @ X @ Y ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X1 @ X0 ) )
| ~ ( distinct_points @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ci2]) ).
thf(zip_derived_cl1598,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk__3 @ X0 )
| ( apart_point_and_line @ sk__2 @ X0 )
| ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk_ @ X0 )
| ~ ( distinct_points @ sk__2 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1213,zip_derived_cl7]) ).
thf(zip_derived_cl50_002,plain,
distinct_points @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1611,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk__3 @ X0 )
| ( apart_point_and_line @ sk__2 @ X0 )
| ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk_ @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1598,zip_derived_cl50]) ).
thf(zip_derived_cl49,plain,
~ ( apart_point_and_line @ sk__3 @ ( line_connecting @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1915,plain,
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1611,zip_derived_cl49]) ).
thf(zip_derived_cl52,plain,
~ ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1919,plain,
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1915,zip_derived_cl52]) ).
thf(ci1,axiom,
! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ~ ( apart_point_and_line @ X @ ( line_connecting @ X @ Y ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X0 @ X1 ) )
| ~ ( distinct_points @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ci1]) ).
thf(zip_derived_cl1925,plain,
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ~ ( distinct_points @ sk__2 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1919,zip_derived_cl6]) ).
thf(zip_derived_cl50_003,plain,
distinct_points @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1926,plain,
apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl1925,zip_derived_cl50]) ).
thf(zip_derived_cl6_004,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X0 @ X1 ) )
| ~ ( distinct_points @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ci1]) ).
thf(zip_derived_cl1929,plain,
~ ( distinct_points @ sk_ @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1926,zip_derived_cl6]) ).
thf(zip_derived_cl51,plain,
distinct_points @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1930,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1929,zip_derived_cl51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO177+3 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6AgjzvMKdn true
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:28:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % 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
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.64/1.28 % Solved by fo/fo6_bce.sh.
% 4.64/1.28 % BCE start: 53
% 4.64/1.28 % BCE eliminated: 0
% 4.64/1.28 % PE start: 53
% 4.64/1.28 logic: neq
% 4.64/1.28 % PE eliminated: 12
% 4.64/1.28 % done 464 iterations in 0.556s
% 4.64/1.28 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.64/1.28 % SZS output start Refutation
% See solution above
% 4.64/1.28
% 4.64/1.28
% 4.64/1.28 % Terminating...
% 5.17/1.35 % Runner terminated.
% 5.17/1.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------