TSTP Solution File: GEO196+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO196+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.65yG76Y5YK true
% Computer : n015.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 23:57:26 EDT 2023
% Result : Theorem 0.20s 0.82s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 53 ( 13 unt; 10 typ; 0 def)
% Number of atoms : 91 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 371 ( 37 ~; 21 |; 8 &; 286 @)
% ( 1 <=>; 5 =>; 13 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 67 ( 0 ^; 67 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
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(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(sk__1_type,type,
sk__1: $i ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(a4,axiom,
! [X: $i,Y: $i] :
( ( incident_point_and_line @ X @ Y )
<=> ~ ( apart_point_and_line @ X @ Y ) ) ).
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(con,conjecture,
! [X: $i,Y: $i,U: $i,V: $i] :
( ( ( convergent_lines @ X @ Y )
& ( convergent_lines @ U @ V )
& ( incident_point_and_line @ ( intersection_point @ X @ Y ) @ U )
& ( incident_point_and_line @ ( intersection_point @ X @ Y ) @ V ) )
=> ( ( incident_point_and_line @ ( intersection_point @ U @ V ) @ X )
& ( incident_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 )
& ( incident_point_and_line @ ( intersection_point @ X @ Y ) @ U )
& ( incident_point_and_line @ ( intersection_point @ X @ Y ) @ V ) )
=> ( ( incident_point_and_line @ ( intersection_point @ U @ V ) @ X )
& ( incident_point_and_line @ ( intersection_point @ U @ V ) @ Y ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl48,plain,
( ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ )
| ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53,plain,
( ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl74,plain,
( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl53]) ).
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_cl105,plain,
( ! [X0: $i] :
( ( distinct_lines @ sk__1 @ X0 )
| ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ X0 ) )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl12]) ).
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_cl201,plain,
( ! [X0: $i] : ( distinct_lines @ sk__1 @ ( parallel_through_point @ X0 @ ( intersection_point @ sk__2 @ sk__3 ) ) )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl16]) ).
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_cl284,plain,
( ! [X0: $i] : ( convergent_lines @ sk__1 @ ( parallel_through_point @ X0 @ ( intersection_point @ sk__2 @ sk__3 ) ) )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl201,zip_derived_cl14]) ).
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_cl286,plain,
( ! [X0: $i,X1: $i] :
( ( convergent_lines @ sk__1 @ X1 )
| ( convergent_lines @ ( parallel_through_point @ X0 @ ( intersection_point @ sk__2 @ sk__3 ) ) @ X1 ) )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl5]) ).
thf(zip_derived_cl45_001,plain,
! [X0: $i,X1: $i] :
( ( incident_point_and_line @ X0 @ X1 )
| ( apart_point_and_line @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[a4]) ).
thf(zip_derived_cl54,plain,
( ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl73,plain,
( ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl54]) ).
thf(zip_derived_cl12_002,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_cl104,plain,
( ! [X0: $i] :
( ( distinct_lines @ sk_ @ X0 )
| ( apart_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ X0 ) )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl12]) ).
thf(zip_derived_cl16_003,plain,
! [X0: $i,X1: $i] :
~ ( apart_point_and_line @ X0 @ ( parallel_through_point @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[cp2]) ).
thf(zip_derived_cl112,plain,
( ! [X0: $i] : ( distinct_lines @ sk_ @ ( parallel_through_point @ X0 @ ( intersection_point @ sk__2 @ sk__3 ) ) )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl16]) ).
thf(zip_derived_cl14_004,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ X0 @ X1 )
| ~ ( distinct_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl173,plain,
( ! [X0: $i] : ( convergent_lines @ sk_ @ ( parallel_through_point @ X0 @ ( intersection_point @ sk__2 @ sk__3 ) ) )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl14]) ).
thf(zip_derived_cl5_005,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_cl174,plain,
( ! [X0: $i,X1: $i] :
( ( convergent_lines @ sk_ @ X1 )
| ( convergent_lines @ ( parallel_through_point @ X0 @ ( intersection_point @ sk__2 @ sk__3 ) ) @ X1 ) )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl5]) ).
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_cl309,plain,
( ! [X0: $i] : ( convergent_lines @ sk_ @ X0 )
<= ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl15]) ).
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('0',plain,
incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_,
inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl2]) ).
thf('1',plain,
( ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 )
| ~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf('2',plain,
~ ( incident_point_and_line @ ( intersection_point @ sk__2 @ sk__3 ) @ sk__1 ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl315,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ sk__1 @ X1 )
| ( convergent_lines @ ( parallel_through_point @ X0 @ ( intersection_point @ sk__2 @ sk__3 ) ) @ X1 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl286,'2']) ).
thf(zip_derived_cl15_006,plain,
! [X0: $i,X1: $i] :
~ ( convergent_lines @ ( parallel_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[cp1]) ).
thf(zip_derived_cl348,plain,
! [X0: $i] : ( convergent_lines @ sk__1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl15]) ).
thf(zip_derived_cl2_007,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl367,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO196+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.65yG76Y5YK true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 22:46:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.82 % Solved by fo/fo1_av.sh.
% 0.20/0.82 % done 172 iterations in 0.070s
% 0.20/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.82 % SZS output start Refutation
% See solution above
% 0.20/0.82
% 0.20/0.82
% 0.20/0.83 % Terminating...
% 1.76/0.91 % Runner terminated.
% 1.76/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------