TSTP Solution File: GEO198+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO198+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.QKEpDFw0gp true
% Computer : n020.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 23:57:28 EDT 2023
% Result : Theorem 1.33s 1.21s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 60 ( 21 unt; 8 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 : 10 ( 10 >; 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
% 0.00/0.12 % Problem : GEO198+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QKEpDFw0gp true
% 0.13/0.34 % Computer : n020.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 : Tue Aug 29 21:56:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.33/1.21 % Solved by fo/fo1_av.sh.
% 1.33/1.21 % done 515 iterations in 0.443s
% 1.33/1.21 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.33/1.21 % SZS output start Refutation
% See solution above
% 1.33/1.21
% 1.33/1.21
% 1.33/1.21 % Terminating...
% 1.33/1.28 % Runner terminated.
% 1.94/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------