TSTP Solution File: GEO187+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO187+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9hBavQ8Bho true
% Computer : n032.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 : Wed Aug 30 23:57:18 EDT 2023
% Result : Theorem 11.58s 2.14s
% Output : Refutation 11.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 15 unt; 8 typ; 0 def)
% Number of atoms : 107 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 403 ( 33 ~; 50 |; 10 &; 304 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 0 ^; 53 !; 0 ?; 53 :)
% 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(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(sk__3_type,type,
sk__3: $i ).
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_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_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_cl7_001,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(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_cl17,plain,
distinct_points @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14,plain,
( ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk__3 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
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_cl60,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk__3 @ X0 )
| ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).
thf(zip_derived_cl12_002,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_cl444,plain,
! [X0: $i,X1: $i] :
( ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X1 )
| ( apart_point_and_line @ sk__3 @ X1 )
| ( apart_point_and_line @ sk__2 @ X0 )
| ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl12]) ).
thf(zip_derived_cl6119,plain,
! [X0: $i] :
( ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 )
| ( apart_point_and_line @ sk__2 @ X0 )
| ( apart_point_and_line @ sk__3 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl444]) ).
thf(zip_derived_cl6_003,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_cl6219,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ sk__2 @ ( line_connecting @ X1 @ X0 ) )
| ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ X1 @ X0 ) )
| ( distinct_points @ sk__3 @ X0 )
| ~ ( distinct_points @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6119,zip_derived_cl6]) ).
thf(zip_derived_cl6558,plain,
( ( distinct_points @ sk__3 @ sk__3 )
| ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl6219]) ).
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_cl6694,plain,
( ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk__2 @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6558,zip_derived_cl0]) ).
thf(zip_derived_cl6701,plain,
( ( distinct_points @ sk__2 @ sk__2 )
| ~ ( distinct_points @ sk__2 @ sk__3 )
| ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl6694]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl17_005,plain,
distinct_points @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6703,plain,
distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk__2 @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl6701,zip_derived_cl0,zip_derived_cl17]) ).
thf(zip_derived_cl18,plain,
distinct_points @ sk_ @ sk__1,
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_cl34,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ sk__1 @ X0 )
| ( apart_point_and_line @ sk_ @ X0 )
| ~ ( distinct_lines @ X1 @ X0 )
| ( apart_point_and_line @ sk_ @ X1 )
| ( apart_point_and_line @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl10]) ).
thf(zip_derived_cl6707,plain,
( ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ sk__3 ) )
| ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6703,zip_derived_cl34]) ).
thf(zip_derived_cl16,plain,
~ ( apart_point_and_line @ sk_ @ ( line_connecting @ sk__2 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6764,plain,
( ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk__2 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6707,zip_derived_cl16]) ).
thf(zip_derived_cl15,plain,
~ ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk__2 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6840,plain,
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6764,zip_derived_cl15]) ).
thf(zip_derived_cl6845,plain,
( ( distinct_points @ sk__1 @ sk__1 )
| ~ ( distinct_points @ sk_ @ sk__1 )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl6840]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl18_007,plain,
distinct_points @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6847,plain,
apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl6845,zip_derived_cl0,zip_derived_cl18]) ).
thf(zip_derived_cl6856,plain,
( ( distinct_points @ sk_ @ sk_ )
| ~ ( distinct_points @ sk_ @ sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl6847]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl18_009,plain,
distinct_points @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6858,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6856,zip_derived_cl0,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GEO187+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9hBavQ8Bho true
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Aug 29 23:51:02 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % Running portfolio for 300 s
% 0.10/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.29 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.30 % Running in FO mode
% 0.15/0.54 % Total configuration time : 435
% 0.15/0.54 % Estimated wc time : 1092
% 0.15/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.58 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.58 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.58 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.58 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.59 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.60 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.86/0.64 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.58/2.14 % Solved by fo/fo3_bce.sh.
% 11.58/2.14 % BCE start: 19
% 11.58/2.14 % BCE eliminated: 5
% 11.58/2.14 % PE start: 14
% 11.58/2.14 logic: neq
% 11.58/2.14 % PE eliminated: 0
% 11.58/2.14 % done 1223 iterations in 1.535s
% 11.58/2.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.58/2.14 % SZS output start Refutation
% See solution above
% 11.58/2.14
% 11.58/2.14
% 11.58/2.14 % Terminating...
% 12.05/2.24 % Runner terminated.
% 12.05/2.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------