TSTP Solution File: GEO201+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO201+1 : 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.BLzshsU0Ee 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 23:57:30 EDT 2023
% Result : Theorem 0.51s 0.81s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 50 ( 16 unt; 7 typ; 0 def)
% Number of atoms : 94 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 329 ( 28 ~; 42 |; 1 &; 250 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 0 ^; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
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__type,type,
sk_: $i ).
thf(con,conjecture,
! [X: $i,Y: $i] :
( ( convergent_lines @ X @ Y )
=> ~ ( distinct_points @ ( intersection_point @ X @ Y ) @ ( intersection_point @ Y @ X ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i] :
( ( convergent_lines @ X @ Y )
=> ~ ( distinct_points @ ( intersection_point @ X @ Y ) @ ( intersection_point @ Y @ X ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl14,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ceq3,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( convergent_lines @ X @ Y )
=> ( ( distinct_lines @ Y @ Z )
| ( convergent_lines @ X @ Z ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X0 @ X1 )
| ( distinct_lines @ X1 @ X2 )
| ( convergent_lines @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ceq3]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ( convergent_lines @ sk_ @ X0 )
| ( distinct_lines @ sk__1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl13]) ).
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_cl38,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ sk_ @ X0 )
| ( distinct_lines @ X0 @ X1 )
| ( distinct_lines @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl4]) ).
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_cl96,plain,
! [X0: $i] :
( ( distinct_lines @ sk__1 @ X0 )
| ( distinct_lines @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl2]) ).
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_cl105,plain,
distinct_lines @ sk__1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl1]) ).
thf(zip_derived_cl15,plain,
distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ ( intersection_point @ sk__1 @ sk_ ),
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_cl44,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ X0 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X0 )
| ~ ( distinct_lines @ X1 @ X0 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X1 )
| ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl10]) ).
thf(zip_derived_cl213,plain,
( ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl44]) ).
thf(ci3,axiom,
! [X: $i,Y: $i] :
( ( convergent_lines @ X @ Y )
=> ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ X ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X0 )
| ~ ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ci3]) ).
thf(zip_derived_cl216,plain,
( ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk__1 )
| ~ ( convergent_lines @ sk_ @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl8]) ).
thf(zip_derived_cl14_001,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl217,plain,
( ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl216,zip_derived_cl14]) ).
thf(ci4,axiom,
! [X: $i,Y: $i] :
( ( convergent_lines @ X @ Y )
=> ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Y ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X1 )
| ~ ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ci4]) ).
thf(zip_derived_cl220,plain,
( ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
| ~ ( convergent_lines @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl9]) ).
thf(zip_derived_cl14_002,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl26,plain,
! [X0: $i] :
( ( convergent_lines @ sk__1 @ X0 )
| ( convergent_lines @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl5]) ).
thf(zip_derived_cl2_003,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl30,plain,
convergent_lines @ sk__1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl2]) ).
thf(zip_derived_cl221,plain,
( ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl30]) ).
thf(zip_derived_cl9_004,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X1 )
| ~ ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ci4]) ).
thf(zip_derived_cl224,plain,
( ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk__1 )
| ~ ( convergent_lines @ sk_ @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl9]) ).
thf(zip_derived_cl14_005,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl225,plain,
apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl14]) ).
thf(zip_derived_cl8_006,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X0 )
| ~ ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ci3]) ).
thf(zip_derived_cl228,plain,
~ ( convergent_lines @ sk__1 @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl8]) ).
thf(zip_derived_cl30_007,plain,
convergent_lines @ sk__1 @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl2]) ).
thf(zip_derived_cl229,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO201+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BLzshsU0Ee true
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 19:16:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.48/0.59 % Total configuration time : 435
% 0.48/0.59 % Estimated wc time : 1092
% 0.48/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.81 % Solved by fo/fo4.sh.
% 0.51/0.81 % done 92 iterations in 0.077s
% 0.51/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.81 % SZS output start Refutation
% See solution above
% 0.51/0.81
% 0.51/0.81
% 0.51/0.81 % Terminating...
% 0.57/0.91 % Runner terminated.
% 1.58/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------