TSTP Solution File: GEO181+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO181+2 : 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.mCm5raMAX6 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 23:57:13 EDT 2023
% Result : Theorem 1.34s 0.95s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 51 ( 18 unt; 7 typ; 0 def)
% Number of atoms : 110 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 357 ( 29 ~; 55 |; 2 &; 262 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 61 ( 0 ^; 61 !; 0 ?; 61 :)
% 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(line_connecting_type,type,
line_connecting: $i > $i > $i ).
thf(con,conjecture,
! [X: $i,Y: $i,Z: $i] :
( ( distinct_points @ X @ Y )
=> ( ( apart_point_and_line @ Z @ ( line_connecting @ X @ Y ) )
=> ( apart_point_and_line @ Y @ ( line_connecting @ X @ Z ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i,Z: $i] :
( ( distinct_points @ X @ Y )
=> ( ( apart_point_and_line @ Z @ ( line_connecting @ X @ Y ) )
=> ( apart_point_and_line @ Y @ ( line_connecting @ X @ Z ) ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl14,plain,
apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ceq2,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( apart_point_and_line @ X @ Y )
=> ( ( distinct_lines @ Y @ Z )
| ( apart_point_and_line @ X @ Z ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( apart_point_and_line @ X0 @ X1 )
| ( distinct_lines @ X1 @ X2 )
| ( apart_point_and_line @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ceq2]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( distinct_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 )
| ( apart_point_and_line @ sk__2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
distinct_points @ sk_ @ sk__1,
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_cl37,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ sk__1 @ X0 )
| ( apart_point_and_line @ sk_ @ X0 )
| ~ ( distinct_lines @ X0 @ X1 )
| ( apart_point_and_line @ sk_ @ X1 )
| ( apart_point_and_line @ sk__1 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl10]) ).
thf(zip_derived_cl119,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk__2 @ X0 )
| ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk_ @ X0 )
| ( apart_point_and_line @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl37]) ).
thf(con1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( distinct_points @ X @ Y )
=> ( ( apart_point_and_line @ Z @ ( line_connecting @ X @ Y ) )
=> ( ( distinct_points @ Z @ X )
& ( distinct_points @ Z @ Y ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ( distinct_points @ X2 @ X1 )
| ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[con1]) ).
thf(zip_derived_cl345,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk__1 @ X0 )
| ( apart_point_and_line @ sk_ @ X0 )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk__2 @ X0 )
| ~ ( distinct_points @ sk_ @ sk__1 )
| ( distinct_points @ sk__1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl6]) ).
thf(zip_derived_cl16_001,plain,
distinct_points @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl347,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk__1 @ X0 )
| ( apart_point_and_line @ sk_ @ X0 )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ( distinct_points @ X2 @ X0 )
| ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[con1]) ).
thf(zip_derived_cl378,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk__2 @ X0 )
| ( apart_point_and_line @ sk_ @ X0 )
| ( apart_point_and_line @ sk__1 @ X0 )
| ~ ( distinct_points @ sk_ @ sk__1 )
| ( distinct_points @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl7]) ).
thf(zip_derived_cl16_002,plain,
distinct_points @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl384,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk__2 @ X0 )
| ( apart_point_and_line @ sk_ @ X0 )
| ( apart_point_and_line @ sk__1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl378,zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl6_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ( distinct_points @ X2 @ X1 )
| ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[con1]) ).
thf(zip_derived_cl387,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ sk__1 @ ( line_connecting @ X1 @ X0 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ X1 @ X0 ) )
| ~ ( distinct_points @ X1 @ X0 )
| ( distinct_points @ sk__2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
~ ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl436,plain,
( ( distinct_points @ sk__2 @ sk__2 )
| ~ ( distinct_points @ sk_ @ sk__2 )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl387,zip_derived_cl15]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl14_006,plain,
apart_point_and_line @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ( distinct_points @ X2 @ X0 )
| ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[con1]) ).
thf(zip_derived_cl31,plain,
( ~ ( distinct_points @ sk_ @ sk__1 )
| ( distinct_points @ sk__2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl7]) ).
thf(zip_derived_cl16_008,plain,
distinct_points @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
distinct_points @ sk__2 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl16]) ).
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_cl34,plain,
! [X0: $i] :
( ( distinct_points @ sk__2 @ X0 )
| ( distinct_points @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl3]) ).
thf(zip_derived_cl0_009,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl35,plain,
distinct_points @ sk_ @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl0]) ).
thf(zip_derived_cl439,plain,
apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl436,zip_derived_cl0,zip_derived_cl35]) ).
thf(zip_derived_cl7_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ( distinct_points @ X2 @ X0 )
| ~ ( apart_point_and_line @ X2 @ ( line_connecting @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[con1]) ).
thf(zip_derived_cl443,plain,
( ~ ( distinct_points @ sk_ @ sk__2 )
| ( distinct_points @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl7]) ).
thf(zip_derived_cl35_011,plain,
distinct_points @ sk_ @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl0]) ).
thf(zip_derived_cl0_012,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl445,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl443,zip_derived_cl35,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO181+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mCm5raMAX6 true
% 0.11/0.32 % Computer : n029.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 22:56:27 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % 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
% 0.52/0.61 % Total configuration time : 435
% 0.52/0.61 % Estimated wc time : 1092
% 0.52/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.76/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.76/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.30/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.30/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.30/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.30/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.95 % Solved by fo/fo6_bce.sh.
% 1.34/0.95 % BCE start: 17
% 1.34/0.95 % BCE eliminated: 5
% 1.34/0.95 % PE start: 12
% 1.34/0.95 logic: neq
% 1.34/0.95 % PE eliminated: 0
% 1.34/0.95 % done 145 iterations in 0.216s
% 1.34/0.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.95 % SZS output start Refutation
% See solution above
% 1.34/0.95
% 1.34/0.95
% 1.34/0.95 % Terminating...
% 1.34/1.04 % Runner terminated.
% 1.34/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------