TSTP Solution File: GEO172+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO172+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OpTjhygHbP true
% Computer : n008.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 23:57:06 EDT 2023
% Result : Theorem 0.17s 0.75s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 60 ( 20 unt; 11 typ; 0 def)
% Number of atoms : 103 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 331 ( 31 ~; 40 |; 5 &; 246 @)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 0 ^; 71 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(equal_points_type,type,
equal_points: $i > $i > $o ).
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(incident_point_and_line_type,type,
incident_point_and_line: $i > $i > $o ).
thf(parallel_through_point_type,type,
parallel_through_point: $i > $i > $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__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(con,conjecture,
! [X: $i,Y: $i,Z: $i] :
( ( ( convergent_lines @ X @ Y )
& ( incident_point_and_line @ Z @ X )
& ( incident_point_and_line @ Z @ Y ) )
=> ( equal_points @ Z @ ( intersection_point @ X @ Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i,Z: $i] :
( ( ( convergent_lines @ X @ Y )
& ( incident_point_and_line @ Z @ X )
& ( incident_point_and_line @ Z @ Y ) )
=> ( equal_points @ Z @ ( intersection_point @ X @ Y ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl51,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_cl83,plain,
! [X0: $i] :
( ( convergent_lines @ sk_ @ X0 )
| ( convergent_lines @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl5]) ).
thf(zip_derived_cl5_001,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_cl88,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ sk_ @ X0 )
| ( convergent_lines @ sk__1 @ X1 )
| ( convergent_lines @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl83,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_cl172,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk__1 )
| ( convergent_lines @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl2]) ).
thf(zip_derived_cl5_002,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_cl200,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ X0 @ sk__1 )
| ( convergent_lines @ sk_ @ X1 )
| ( convergent_lines @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl5]) ).
thf(zip_derived_cl2_003,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl306,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk_ )
| ( convergent_lines @ X0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,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_cl373,plain,
! [X0: $i] : ( convergent_lines @ ( parallel_through_point @ sk__1 @ X0 ) @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl15]) ).
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_cl403,plain,
! [X0: $i,X1: $i] :
( ( distinct_lines @ sk_ @ X1 )
| ( convergent_lines @ ( parallel_through_point @ sk__1 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl13]) ).
thf(zip_derived_cl15_004,plain,
! [X0: $i,X1: $i] :
~ ( convergent_lines @ ( parallel_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[cp1]) ).
thf(zip_derived_cl509,plain,
distinct_lines @ sk_ @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl15]) ).
thf(ax1,axiom,
! [X: $i,Y: $i] :
( ( equal_points @ X @ Y )
<=> ~ ( distinct_points @ X @ Y ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( equal_points @ X0 @ X1 )
| ( distinct_points @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl48,plain,
~ ( equal_points @ sk__2 @ ( intersection_point @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60,plain,
distinct_points @ sk__2 @ ( intersection_point @ sk_ @ sk__1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl39,zip_derived_cl48]) ).
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_cl89,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X0 )
| ( apart_point_and_line @ sk__2 @ X0 )
| ~ ( distinct_lines @ X0 @ X1 )
| ( apart_point_and_line @ sk__2 @ X1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl10]) ).
thf(zip_derived_cl512,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ( apart_point_and_line @ sk__2 @ sk_ )
| ( apart_point_and_line @ sk__2 @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl509,zip_derived_cl89]) ).
thf(zip_derived_cl50,plain,
incident_point_and_line @ sk__2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(a4,axiom,
! [X: $i,Y: $i] :
( ( incident_point_and_line @ X @ Y )
<=> ~ ( apart_point_and_line @ X @ Y ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ X0 @ X1 )
| ~ ( incident_point_and_line @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[a4]) ).
thf(zip_derived_cl67,plain,
~ ( apart_point_and_line @ sk__2 @ sk_ ),
inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl44]) ).
thf(zip_derived_cl49,plain,
incident_point_and_line @ sk__2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_005,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ X0 @ X1 )
| ~ ( incident_point_and_line @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[a4]) ).
thf(zip_derived_cl66,plain,
~ ( apart_point_and_line @ sk__2 @ sk__1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl44]) ).
thf(zip_derived_cl515,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl67,zip_derived_cl66]) ).
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_cl546,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ~ ( convergent_lines @ sk_ @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl9]) ).
thf(zip_derived_cl51_006,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl547,plain,
apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl546,zip_derived_cl51]) ).
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_cl552,plain,
~ ( convergent_lines @ sk_ @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl547,zip_derived_cl8]) ).
thf(zip_derived_cl51_007,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl553,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl552,zip_derived_cl51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO172+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OpTjhygHbP true
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 20:49:17 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.17/0.55 % Total configuration time : 435
% 0.17/0.55 % Estimated wc time : 1092
% 0.17/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.75 % Solved by fo/fo6_bce.sh.
% 0.17/0.75 % BCE start: 52
% 0.17/0.75 % BCE eliminated: 0
% 0.17/0.75 % PE start: 52
% 0.17/0.75 logic: neq
% 0.17/0.75 % PE eliminated: 12
% 0.17/0.75 % done 140 iterations in 0.111s
% 0.17/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.17/0.75 % SZS output start Refutation
% See solution above
% 0.17/0.75
% 0.17/0.75
% 0.17/0.75 % Terminating...
% 1.90/0.93 % Runner terminated.
% 1.90/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------