TSTP Solution File: GEO194+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO194+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R4Ac8eyXoZ true
% Computer : n011.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 23:57:24 EDT 2023
% Result : Theorem 6.14s 1.49s
% Output : Refutation 6.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 13 unt; 8 typ; 0 def)
% Number of atoms : 131 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 438 ( 28 ~; 67 |; 5 &; 328 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 80 ( 0 ^; 80 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $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(sk__1_type,type,
sk__1: $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(zip_derived_cl18,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_cl25,plain,
! [X0: $i] :
( ( convergent_lines @ sk_ @ X0 )
| ( convergent_lines @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,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_cl32,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_cl25,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_cl52,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk__1 )
| ( convergent_lines @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,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_cl65,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_cl52,zip_derived_cl5]) ).
thf(zip_derived_cl2_003,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl129,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk_ )
| ( convergent_lines @ X0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl2]) ).
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_cl147,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ X0 @ sk_ )
| ( distinct_lines @ sk__1 @ X1 )
| ( convergent_lines @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl13]) ).
thf(zip_derived_cl873,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk_ )
| ( distinct_lines @ sk__1 @ sk_ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl14,plain,
apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ceq1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( apart_point_and_line @ X @ Y )
=> ( ( distinct_points @ X @ Z )
| ( apart_point_and_line @ Z @ Y ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( apart_point_and_line @ X0 @ X1 )
| ( distinct_points @ X0 @ X2 )
| ( apart_point_and_line @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ceq1]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( distinct_points @ ( intersection_point @ sk_ @ sk__1 ) @ X0 )
| ( apart_point_and_line @ X0 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
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_cl102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apart_point_and_line @ X0 @ sk__2 )
| ( apart_point_and_line @ X0 @ X1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X1 )
| ~ ( distinct_lines @ X1 @ X2 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ X2 )
| ( apart_point_and_line @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl10]) ).
thf(zip_derived_cl959,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ X0 @ sk_ )
| ( apart_point_and_line @ X1 @ sk__2 )
| ( apart_point_and_line @ X1 @ 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 @ X1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl873,zip_derived_cl102]) ).
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_cl1452,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ ( intersection_point @ X0 @ sk__2 ) @ 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 @ X0 @ sk__2 ) @ sk__1 )
| ( convergent_lines @ X1 @ sk_ )
| ~ ( convergent_lines @ X0 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl959,zip_derived_cl9]) ).
thf(zip_derived_cl2052,plain,
! [X0: $i] :
( ( 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__1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk__1 )
| ( convergent_lines @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1452]) ).
thf(zip_derived_cl15,plain,
~ ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__2 ) @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2188,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk_ )
| ( 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_ @ sk__2 ) @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl2052,zip_derived_cl15]) ).
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_cl2193,plain,
! [X0: $i] :
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
| ( convergent_lines @ X0 @ sk_ )
| ~ ( convergent_lines @ sk_ @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2188,zip_derived_cl8]) ).
thf(zip_derived_cl16_004,plain,
convergent_lines @ sk_ @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2194,plain,
! [X0: $i] :
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
| ( convergent_lines @ X0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl2193,zip_derived_cl16]) ).
thf(zip_derived_cl9_005,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_cl2239,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ~ ( convergent_lines @ sk_ @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2194,zip_derived_cl9]) ).
thf(zip_derived_cl18_006,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2242,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl2239,zip_derived_cl18]) ).
thf(zip_derived_cl8_007,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_cl2260,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk_ )
| ~ ( convergent_lines @ sk_ @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2242,zip_derived_cl8]) ).
thf(zip_derived_cl18_008,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2261,plain,
! [X0: $i] : ( convergent_lines @ X0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl2260,zip_derived_cl18]) ).
thf(zip_derived_cl2_009,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl2262,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl2261,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO194+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R4Ac8eyXoZ true
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 22:46:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.14/1.49 % Solved by fo/fo6_bce.sh.
% 6.14/1.49 % BCE start: 19
% 6.14/1.49 % BCE eliminated: 0
% 6.14/1.49 % PE start: 19
% 6.14/1.49 logic: neq
% 6.14/1.49 % PE eliminated: 0
% 6.14/1.49 % done 527 iterations in 0.712s
% 6.14/1.49 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.14/1.49 % SZS output start Refutation
% See solution above
% 6.14/1.49
% 6.14/1.49
% 6.14/1.49 % Terminating...
% 6.62/1.56 % Runner terminated.
% 6.62/1.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------