TSTP Solution File: GEO199+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hfhf4jHyhG true
% Computer : n005.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 23:57:28 EDT 2023
% Result : Theorem 16.55s 2.98s
% Output : Refutation 16.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 66 ( 21 unt; 8 typ; 0 def)
% Number of atoms : 139 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 446 ( 41 ~; 65 |; 7 &; 324 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 88 ( 0 ^; 88 !; 0 ?; 88 :)
% 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(intersection_point_type,type,
intersection_point: $i > $i > $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 @ Y @ X ) @ Z ) ) ).
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 @ Y @ X ) @ Z ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl18,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ceq3,axiom,
! [X: $i,Y: $i] :
( ( convergent_lines @ X @ Y )
=> ( distinct_lines @ X @ Y ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( distinct_lines @ X0 @ X1 )
| ~ ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ceq3]) ).
thf(apart5,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( distinct_lines @ X @ Y )
=> ( ( distinct_lines @ X @ Z )
| ( distinct_lines @ Y @ Z ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_lines @ X0 @ X1 )
| ( distinct_lines @ X0 @ X2 )
| ( distinct_lines @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[apart5]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X1 @ X0 )
| ( distinct_lines @ X1 @ X2 )
| ( distinct_lines @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( distinct_lines @ sk_ @ X0 )
| ( distinct_lines @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl23]) ).
thf(apart2,axiom,
! [X: $i] :
~ ( distinct_lines @ X @ X ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
~ ( distinct_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart2]) ).
thf(zip_derived_cl49,plain,
distinct_lines @ sk_ @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl1]) ).
thf(zip_derived_cl14,plain,
apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ 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_cl63,plain,
! [X0: $i] :
( ( distinct_points @ ( intersection_point @ sk__1 @ sk_ ) @ 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_cl286,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__1 @ sk_ ) @ X1 )
| ~ ( distinct_lines @ X1 @ X2 )
| ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ X2 )
| ( apart_point_and_line @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl10]) ).
thf(zip_derived_cl6486,plain,
! [X0: $i] :
( ( apart_point_and_line @ X0 @ sk__2 )
| ( apart_point_and_line @ X0 @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk_ )
| ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk__1 )
| ( apart_point_and_line @ X0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl286]) ).
thf(con2,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( convergent_lines @ X @ Y )
=> ( ( ( apart_point_and_line @ Z @ X )
| ( apart_point_and_line @ Z @ Y ) )
=> ( distinct_points @ Z @ ( intersection_point @ X @ Y ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X0 @ X1 )
| ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
| ~ ( apart_point_and_line @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[con2]) ).
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_cl51,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X1 @ X0 ) @ X1 )
| ~ ( convergent_lines @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl6977,plain,
! [X0: $i] :
( ( apart_point_and_line @ X0 @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk_ )
| ( apart_point_and_line @ X0 @ sk_ )
| ( apart_point_and_line @ X0 @ sk__2 )
| ~ ( convergent_lines @ sk__1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6486,zip_derived_cl51]) ).
thf(zip_derived_cl18_001,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(apart6,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)],[apart6]) ).
thf(zip_derived_cl27,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_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X0 @ X1 )
| ( convergent_lines @ X0 @ X2 )
| ( convergent_lines @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[apart6]) ).
thf(zip_derived_cl34,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_cl27,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_cl70,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk__1 )
| ( convergent_lines @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl2]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X0 @ X1 )
| ( convergent_lines @ X0 @ X2 )
| ( convergent_lines @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[apart6]) ).
thf(zip_derived_cl83,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_cl70,zip_derived_cl5]) ).
thf(zip_derived_cl2_004,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl232,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk_ )
| ( convergent_lines @ X0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl2]) ).
thf(zip_derived_cl2_005,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl262,plain,
convergent_lines @ sk__1 @ sk_,
inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl2]) ).
thf(zip_derived_cl6979,plain,
! [X0: $i] :
( ( apart_point_and_line @ X0 @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk__1 @ sk_ ) @ sk_ )
| ( apart_point_and_line @ X0 @ sk_ )
| ( apart_point_and_line @ X0 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl6977,zip_derived_cl262]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X0 @ X1 )
| ( distinct_points @ X2 @ ( intersection_point @ X0 @ X1 ) )
| ~ ( apart_point_and_line @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[con2]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i] :
~ ( distinct_points @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart1]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X1 @ X0 ) @ X0 )
| ~ ( convergent_lines @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl7247,plain,
! [X0: $i] :
( ( apart_point_and_line @ X0 @ sk__2 )
| ( apart_point_and_line @ X0 @ sk_ )
| ( apart_point_and_line @ X0 @ sk__1 )
| ~ ( convergent_lines @ sk__1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6979,zip_derived_cl45]) ).
thf(zip_derived_cl262_007,plain,
convergent_lines @ sk__1 @ sk_,
inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl2]) ).
thf(zip_derived_cl7265,plain,
! [X0: $i] :
( ( apart_point_and_line @ X0 @ sk__2 )
| ( apart_point_and_line @ X0 @ sk_ )
| ( apart_point_and_line @ X0 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7247,zip_derived_cl262]) ).
thf(zip_derived_cl15,plain,
~ ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7291,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk__1 )
| ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7265,zip_derived_cl15]) ).
thf(zip_derived_cl45_008,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X1 @ X0 ) @ X0 )
| ~ ( convergent_lines @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl7307,plain,
( ( apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_ )
| ~ ( convergent_lines @ sk_ @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7291,zip_derived_cl45]) ).
thf(zip_derived_cl18_009,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7309,plain,
apart_point_and_line @ ( intersection_point @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl7307,zip_derived_cl18]) ).
thf(zip_derived_cl51_010,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X1 @ X0 ) @ X1 )
| ~ ( convergent_lines @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl7323,plain,
~ ( convergent_lines @ sk_ @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl7309,zip_derived_cl51]) ).
thf(zip_derived_cl18_011,plain,
convergent_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7325,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl7323,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hfhf4jHyhG true
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 20:52:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 16.55/2.98 % Solved by fo/fo6_bce.sh.
% 16.55/2.98 % BCE start: 19
% 16.55/2.98 % BCE eliminated: 0
% 16.55/2.98 % PE start: 19
% 16.55/2.98 logic: neq
% 16.55/2.98 % PE eliminated: 0
% 16.55/2.98 % done 636 iterations in 2.243s
% 16.55/2.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.55/2.98 % SZS output start Refutation
% See solution above
% 16.55/2.98
% 16.55/2.98
% 16.55/2.98 % Terminating...
% 16.96/3.07 % Runner terminated.
% 16.96/3.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------