TSTP Solution File: GEO204+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO204+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.5mMoSw0lPR 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 23:57:33 EDT 2023
% Result : Theorem 0.57s 1.07s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 55 ( 13 unt; 9 typ; 0 def)
% Number of atoms : 112 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 385 ( 31 ~; 52 |; 5 &; 288 @)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(equal_points_type,type,
equal_points: $i > $i > $o ).
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(line_connecting_type,type,
line_connecting: $i > $i > $i ).
thf(equal_lines_type,type,
equal_lines: $i > $i > $o ).
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(ax2,axiom,
! [X: $i,Y: $i] :
( ( equal_lines @ X @ Y )
<=> ~ ( distinct_lines @ X @ Y ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( equal_lines @ X0 @ X1 )
| ( distinct_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(con,conjecture,
! [X: $i,Y: $i,Z: $i] :
( ( ( distinct_points @ X @ Y )
& ( equal_points @ Y @ Z ) )
=> ( ( distinct_points @ X @ Z )
& ( equal_lines @ ( line_connecting @ X @ Y ) @ ( line_connecting @ X @ Z ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i,Z: $i] :
( ( ( distinct_points @ X @ Y )
& ( equal_points @ Y @ Z ) )
=> ( ( distinct_points @ X @ Z )
& ( equal_lines @ ( line_connecting @ X @ Y ) @ ( line_connecting @ X @ Z ) ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl13,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_cl4,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_cl22,plain,
! [X0: $i,X1: $i] :
( ( apart_point_and_line @ sk__1 @ X0 )
| ( apart_point_and_line @ sk_ @ X0 )
| ~ ( distinct_lines @ X1 @ X0 )
| ( apart_point_and_line @ sk_ @ X1 )
| ( apart_point_and_line @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( equal_lines @ X1 @ X0 )
| ( apart_point_and_line @ sk__1 @ X1 )
| ( apart_point_and_line @ sk_ @ X1 )
| ( apart_point_and_line @ sk_ @ X0 )
| ( apart_point_and_line @ sk__1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl22]) ).
thf(zip_derived_cl11,plain,
( ~ ( distinct_points @ sk_ @ sk__2 )
| ~ ( equal_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk_ @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_001,plain,
distinct_points @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(apart4,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( distinct_points @ X @ Y )
=> ( ( distinct_points @ X @ Z )
| ( distinct_points @ Y @ Z ) ) ) ).
thf(zip_derived_cl1,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_cl17,plain,
! [X0: $i] :
( ( distinct_points @ sk__1 @ X0 )
| ( distinct_points @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(ax1,axiom,
! [X: $i,Y: $i] :
( ( equal_points @ X @ Y )
<=> ~ ( distinct_points @ X @ Y ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ~ ( equal_points @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( distinct_points @ sk_ @ X0 )
| ~ ( equal_points @ sk__1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
equal_points @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24,plain,
distinct_points @ sk_ @ sk__2,
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl12]) ).
thf(zip_derived_cl26,plain,
~ ( equal_lines @ ( line_connecting @ sk_ @ sk__1 ) @ ( line_connecting @ sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl24]) ).
thf(zip_derived_cl98,plain,
( ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__2 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__2 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl26]) ).
thf(ci2,axiom,
! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ~ ( apart_point_and_line @ Y @ ( line_connecting @ X @ Y ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X1 @ X0 ) )
| ~ ( distinct_points @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ci2]) ).
thf(zip_derived_cl110,plain,
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__2 ) )
| ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__2 ) )
| ~ ( distinct_points @ sk_ @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl3]) ).
thf(zip_derived_cl13_002,plain,
distinct_points @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111,plain,
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__2 ) )
| ( apart_point_and_line @ sk__1 @ ( line_connecting @ sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl13]) ).
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_cl5,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_cl112,plain,
! [X0: $i] :
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__2 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ X0 @ ( line_connecting @ sk_ @ sk__2 ) )
| ( distinct_points @ sk__1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl5]) ).
thf(zip_derived_cl3_003,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X1 @ X0 ) )
| ~ ( distinct_points @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ci2]) ).
thf(zip_derived_cl1278,plain,
( ( distinct_points @ sk__1 @ sk__2 )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__2 ) )
| ~ ( distinct_points @ sk_ @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl3]) ).
thf(zip_derived_cl24_004,plain,
distinct_points @ sk_ @ sk__2,
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl12]) ).
thf(zip_derived_cl1280,plain,
( ( distinct_points @ sk__1 @ sk__2 )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__1 ) )
| ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1278,zip_derived_cl24]) ).
thf(ci1,axiom,
! [X: $i,Y: $i] :
( ( distinct_points @ X @ Y )
=> ~ ( apart_point_and_line @ X @ ( line_connecting @ X @ Y ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X0 @ X1 ) )
| ~ ( distinct_points @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ci1]) ).
thf(zip_derived_cl1282,plain,
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__2 ) )
| ( distinct_points @ sk__1 @ sk__2 )
| ~ ( distinct_points @ sk_ @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1280,zip_derived_cl2]) ).
thf(zip_derived_cl13_005,plain,
distinct_points @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1283,plain,
( ( apart_point_and_line @ sk_ @ ( line_connecting @ sk_ @ sk__2 ) )
| ( distinct_points @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1282,zip_derived_cl13]) ).
thf(zip_derived_cl2_006,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ X0 @ ( line_connecting @ X0 @ X1 ) )
| ~ ( distinct_points @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ci1]) ).
thf(zip_derived_cl1285,plain,
( ( distinct_points @ sk__1 @ sk__2 )
| ~ ( distinct_points @ sk_ @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1283,zip_derived_cl2]) ).
thf(zip_derived_cl24_007,plain,
distinct_points @ sk_ @ sk__2,
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl12]) ).
thf(zip_derived_cl1286,plain,
distinct_points @ sk__1 @ sk__2,
inference(demod,[status(thm)],[zip_derived_cl1285,zip_derived_cl24]) ).
thf(zip_derived_cl7_008,plain,
! [X0: $i,X1: $i] :
( ~ ( distinct_points @ X0 @ X1 )
| ~ ( equal_points @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1288,plain,
~ ( equal_points @ sk__1 @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl1286,zip_derived_cl7]) ).
thf(zip_derived_cl12_009,plain,
equal_points @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1292,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1288,zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO204+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5mMoSw0lPR true
% 0.14/0.36 % Computer : n029.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 23:33:27 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
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/1.07 % Solved by fo/fo4.sh.
% 0.57/1.07 % done 439 iterations in 0.265s
% 0.57/1.07 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.07 % SZS output start Refutation
% See solution above
% 0.57/1.07
% 0.57/1.07
% 0.57/1.07 % Terminating...
% 0.61/1.16 % Runner terminated.
% 1.77/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------