TSTP Solution File: GEO191+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uZyexAR1u5 true
% Computer : n022.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 23:57:22 EDT 2023
% Result : Theorem 5.66s 1.40s
% Output : Refutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 30
% Syntax : Number of formulae : 68 ( 18 unt; 16 typ; 0 def)
% Number of atoms : 112 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 379 ( 45 ~; 43 |; 6 &; 274 @)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 108 ( 0 ^; 108 !; 0 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(equal_lines_type,type,
equal_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(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
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(unorthogonal_lines_type,type,
unorthogonal_lines: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(sk__type,type,
sk_: $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_cl50,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(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_cl454,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2 )
| ~ ( incident_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl44]) ).
thf(ax2,axiom,
! [X: $i,Y: $i] :
( ( equal_lines @ X @ Y )
<=> ~ ( distinct_lines @ X @ Y ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( equal_lines @ X0 @ X1 )
| ( distinct_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(p1,axiom,
! [X: $i,Y: $i] :
( ( distinct_lines @ X @ Y )
=> ( convergent_lines @ X @ Y ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ X0 @ X1 )
| ~ ( distinct_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ( equal_lines @ X1 @ X0 )
| ( convergent_lines @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl14]) ).
thf(cotno1,axiom,
! [L: $i,M: $i,N: $i] :
( ( ( ~ ( unorthogonal_lines @ L @ N )
| ~ ( convergent_lines @ L @ N ) )
& ( ~ ( unorthogonal_lines @ L @ M )
| ~ ( convergent_lines @ L @ M ) ) )
=> ( ~ ( unorthogonal_lines @ M @ N )
| ~ ( convergent_lines @ M @ N ) ) ) ).
thf(zf_stmt_1,axiom,
! [N: $i,L: $i] :
( ( ~ ( convergent_lines @ L @ N )
| ~ ( unorthogonal_lines @ L @ N ) )
=> ( zip_tseitin_2 @ N @ L ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ( convergent_lines @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
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_cl54,plain,
! [X0: $i] : ( zip_tseitin_2 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl2]) ).
thf(zf_stmt_2,axiom,
! [M: $i,L: $i] :
( ( ~ ( convergent_lines @ L @ M )
| ~ ( unorthogonal_lines @ L @ M ) )
=> ( zip_tseitin_3 @ M @ L ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ( convergent_lines @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
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_cl67,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_3 @ X0 @ ( parallel_through_point @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl15]) ).
thf(zf_stmt_3,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_4,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [L: $i,M: $i,N: $i] :
( ( ( zip_tseitin_3 @ M @ L )
& ( zip_tseitin_2 @ N @ L ) )
=> ( ~ ( convergent_lines @ M @ N )
| ~ ( unorthogonal_lines @ M @ N ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_3 @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X2 @ X1 )
| ~ ( convergent_lines @ X0 @ X2 )
| ~ ( unorthogonal_lines @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( unorthogonal_lines @ X1 @ X2 )
| ~ ( convergent_lines @ X1 @ X2 )
| ~ ( zip_tseitin_2 @ X2 @ ( parallel_through_point @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl32]) ).
thf(zip_derived_cl334,plain,
! [X0: $i,X1: $i] :
( ~ ( convergent_lines @ X1 @ ( parallel_through_point @ X1 @ X0 ) )
| ~ ( unorthogonal_lines @ X1 @ ( parallel_through_point @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl275]) ).
thf(occu1,axiom,
! [L: $i,M: $i] :
( ( unorthogonal_lines @ L @ M )
| ( convergent_lines @ L @ M ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( unorthogonal_lines @ X0 @ X1 )
| ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[occu1]) ).
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,X1: $i,X2: $i] :
( ( unorthogonal_lines @ X1 @ X0 )
| ( convergent_lines @ X0 @ X2 )
| ( convergent_lines @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl5]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl207,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ X1 @ X0 )
| ( unorthogonal_lines @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl2]) ).
thf(zip_derived_cl15_002,plain,
! [X0: $i,X1: $i] :
~ ( convergent_lines @ ( parallel_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[cp1]) ).
thf(zip_derived_cl245,plain,
! [X0: $i,X1: $i] : ( unorthogonal_lines @ X0 @ ( parallel_through_point @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl15]) ).
thf(zip_derived_cl336,plain,
! [X0: $i,X1: $i] :
~ ( convergent_lines @ X1 @ ( parallel_through_point @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl245]) ).
thf(zip_derived_cl344,plain,
! [X0: $i,X1: $i] : ( equal_lines @ X1 @ ( parallel_through_point @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl336]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ( incident_point_and_line @ X0 @ X1 )
| ( apart_point_and_line @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[a4]) ).
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_cl151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( incident_point_and_line @ X1 @ X0 )
| ( apart_point_and_line @ X1 @ X2 )
| ( distinct_lines @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl12]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ~ ( distinct_lines @ X0 @ X1 )
| ~ ( equal_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1081,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apart_point_and_line @ X2 @ X0 )
| ( incident_point_and_line @ X2 @ X1 )
| ~ ( equal_lines @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl40]) ).
thf(zip_derived_cl1117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( incident_point_and_line @ X2 @ X1 )
| ( apart_point_and_line @ X2 @ ( parallel_through_point @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl1081]) ).
thf(cp2,axiom,
! [X: $i,Y: $i] :
~ ( apart_point_and_line @ X @ ( parallel_through_point @ Y @ X ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
~ ( apart_point_and_line @ X0 @ ( parallel_through_point @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[cp2]) ).
thf(zip_derived_cl3550,plain,
! [X0: $i,X1: $i] : ( incident_point_and_line @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl1117,zip_derived_cl16]) ).
thf(zip_derived_cl3568,plain,
apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2,
inference(demod,[status(thm)],[zip_derived_cl454,zip_derived_cl3550]) ).
thf(zip_derived_cl44_003,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_cl3550_004,plain,
! [X0: $i,X1: $i] : ( incident_point_and_line @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl1117,zip_derived_cl16]) ).
thf(zip_derived_cl3567,plain,
! [X0: $i,X1: $i] :
~ ( apart_point_and_line @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl3550]) ).
thf(zip_derived_cl3581,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl3568,zip_derived_cl3567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uZyexAR1u5 true
% 0.13/0.34 % Computer : n022.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 21:42:08 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.66/1.40 % Solved by fo/fo5.sh.
% 5.66/1.40 % done 929 iterations in 0.645s
% 5.66/1.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.66/1.40 % SZS output start Refutation
% See solution above
% 5.66/1.40
% 5.66/1.40
% 5.66/1.40 % Terminating...
% 5.66/1.47 % Runner terminated.
% 5.67/1.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------