TSTP Solution File: GEO191+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO191+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.clLM6Q6GN4 true
% Computer : n029.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 23:57:21 EDT 2023
% Result : Theorem 5.66s 1.41s
% Output : Refutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 13 unt; 9 typ; 0 def)
% Number of atoms : 85 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 327 ( 21 ~; 39 |; 5 &; 256 @)
% ( 0 <=>; 6 =>; 0 <=; 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 : 10 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% 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(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(con,conjecture,
! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( convergent_lines @ X @ Y )
& ( convergent_lines @ U @ V )
& ( ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ U )
| ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ V ) ) )
=> ( ( apart_point_and_line @ ( intersection_point @ U @ V ) @ X )
| ( apart_point_and_line @ ( intersection_point @ U @ V ) @ Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( convergent_lines @ X @ Y )
& ( convergent_lines @ U @ V )
& ( ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ U )
| ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ V ) ) )
=> ( ( apart_point_and_line @ ( intersection_point @ U @ V ) @ X )
| ( apart_point_and_line @ ( intersection_point @ U @ V ) @ Y ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl18,plain,
convergent_lines @ sk_ @ sk__1,
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(zip_derived_cl19,plain,
distinct_lines @ sk_ @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl13]) ).
thf(zip_derived_cl16,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17,plain,
convergent_lines @ sk__2 @ sk__3,
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(zip_derived_cl41,plain,
! [X0: $i] :
( ( distinct_points @ X0 @ ( intersection_point @ sk__2 @ sk__3 ) )
| ~ ( apart_point_and_line @ X0 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl8]) ).
thf(zip_derived_cl47,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2 )
| ( distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk__2 @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl41]) ).
thf(zip_derived_cl17_001,plain,
convergent_lines @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl45,plain,
! [X0: $i] :
( ( distinct_points @ X0 @ ( intersection_point @ sk__2 @ sk__3 ) )
| ~ ( apart_point_and_line @ X0 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl9]) ).
thf(zip_derived_cl265,plain,
distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk__2 @ sk__3 ),
inference(clc,[status(thm)],[zip_derived_cl47,zip_derived_cl45]) ).
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_cl267,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ 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__2 @ sk__3 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl10]) ).
thf(zip_derived_cl2424,plain,
( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl267]) ).
thf(zip_derived_cl15,plain,
~ ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2495,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2424,zip_derived_cl15]) ).
thf(zip_derived_cl14,plain,
~ ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2523,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl2495,zip_derived_cl14]) ).
thf(zip_derived_cl18_002,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl39,plain,
! [X0: $i] :
( ( distinct_points @ X0 @ ( intersection_point @ sk_ @ sk__1 ) )
| ~ ( apart_point_and_line @ X0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl8]) ).
thf(zip_derived_cl2558,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ( distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2523,zip_derived_cl39]) ).
thf(zip_derived_cl18_004,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_005,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_cl43,plain,
! [X0: $i] :
( ( distinct_points @ X0 @ ( intersection_point @ sk_ @ sk__1 ) )
| ~ ( apart_point_and_line @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl9]) ).
thf(zip_derived_cl2582,plain,
distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk_ @ sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl2558,zip_derived_cl43]) ).
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_cl2583,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl2582,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO191+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.clLM6Q6GN4 true
% 0.13/0.34 % Computer : n029.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 21:11:12 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.66/1.41 % Solved by fo/fo13.sh.
% 5.66/1.41 % done 898 iterations in 0.669s
% 5.66/1.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.66/1.41 % SZS output start Refutation
% See solution above
% 5.66/1.41
% 5.66/1.41
% 5.66/1.41 % Terminating...
% 6.02/1.46 % Runner terminated.
% 6.02/1.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------