TSTP Solution File: GEO222+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO222+1 : 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.Rtr9Giu80o true
% Computer : n007.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 23:57:47 EDT 2023
% Result : Theorem 3.56s 1.11s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 25
% Syntax : Number of formulae : 61 ( 19 unt; 12 typ; 0 def)
% Number of atoms : 112 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 426 ( 29 ~; 48 |; 6 &; 334 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 0 ^; 90 !; 0 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(orthogonal_through_point_type,type,
orthogonal_through_point: $i > $i > $i ).
thf(unorthogonal_lines_type,type,
unorthogonal_lines: $i > $i > $o ).
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $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(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(con,conjecture,
! [A: $i,L: $i] :
~ ( convergent_lines @ L @ ( orthogonal_through_point @ ( orthogonal_through_point @ L @ A ) @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,L: $i] :
~ ( convergent_lines @ L @ ( orthogonal_through_point @ ( orthogonal_through_point @ L @ A ) @ A ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl26,plain,
convergent_lines @ sk__1 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_001,plain,
convergent_lines @ sk__1 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ceq3,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( convergent_lines @ X @ Y )
=> ( ( distinct_lines @ Y @ Z )
| ( convergent_lines @ X @ Z ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( convergent_lines @ X0 @ X1 )
| ( distinct_lines @ X1 @ X2 )
| ( convergent_lines @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ceq3]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( distinct_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X0 )
| ( convergent_lines @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl13]) ).
thf(ouo1,axiom,
! [A: $i,L: $i,M: $i,N: $i] :
( ( distinct_lines @ L @ M )
=> ( ( apart_point_and_line @ A @ L )
| ( apart_point_and_line @ A @ M )
| ( unorthogonal_lines @ L @ N )
| ( unorthogonal_lines @ M @ N ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( apart_point_and_line @ X0 @ X1 )
| ( apart_point_and_line @ X0 @ X2 )
| ~ ( distinct_lines @ X2 @ X1 )
| ( unorthogonal_lines @ X2 @ X3 )
| ( unorthogonal_lines @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ouo1]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( convergent_lines @ sk__1 @ X0 )
| ( apart_point_and_line @ X1 @ X0 )
| ( apart_point_and_line @ X1 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) )
| ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X2 )
| ( unorthogonal_lines @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl25]) ).
thf(ci3,axiom,
! [X: $i,Y: $i] :
( ( convergent_lines @ X @ Y )
=> ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ X ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X0 )
| ~ ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ci3]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( unorthogonal_lines @ X0 @ X2 )
| ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X2 )
| ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) )
| ( convergent_lines @ sk__1 @ X0 )
| ~ ( convergent_lines @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl8]) ).
thf(zip_derived_cl1218,plain,
! [X0: $i] :
( ( unorthogonal_lines @ sk__1 @ X0 )
| ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X0 )
| ( apart_point_and_line @ ( intersection_point @ sk__1 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ) @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) )
| ( convergent_lines @ sk__1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl147]) ).
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_cl1276,plain,
! [X0: $i] :
( ( unorthogonal_lines @ sk__1 @ X0 )
| ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X0 )
| ( apart_point_and_line @ ( intersection_point @ sk__1 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ) @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1218,zip_derived_cl2]) ).
thf(ci4,axiom,
! [X: $i,Y: $i] :
( ( convergent_lines @ X @ Y )
=> ~ ( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Y ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( apart_point_and_line @ ( intersection_point @ X0 @ X1 ) @ X1 )
| ~ ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ci4]) ).
thf(zip_derived_cl1294,plain,
! [X0: $i] :
( ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X0 )
| ( unorthogonal_lines @ sk__1 @ X0 )
| ~ ( convergent_lines @ sk__1 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1276,zip_derived_cl9]) ).
thf(zip_derived_cl26_002,plain,
convergent_lines @ sk__1 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1296,plain,
! [X0: $i] :
( ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X0 )
| ( unorthogonal_lines @ sk__1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1294,zip_derived_cl26]) ).
thf(ooc1,axiom,
! [A: $i,L: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ L @ A ) @ L ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[ooc1]) ).
thf(zip_derived_cl1407,plain,
unorthogonal_lines @ sk__1 @ ( orthogonal_through_point @ sk__1 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl1296,zip_derived_cl23]) ).
thf(occu1,axiom,
! [L: $i,M: $i] :
( ( unorthogonal_lines @ L @ M )
| ( convergent_lines @ L @ M ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( unorthogonal_lines @ X0 @ X1 )
| ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[occu1]) ).
thf(zip_derived_cl23_003,plain,
! [X0: $i,X1: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[ooc1]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] : ( convergent_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl23]) ).
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_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( convergent_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X2 )
| ( convergent_lines @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl5]) ).
thf(zip_derived_cl2_004,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] : ( convergent_lines @ X1 @ ( orthogonal_through_point @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl2]) ).
thf(oac1,axiom,
! [L: $i,M: $i,N: $i] :
( ( ( unorthogonal_lines @ L @ M )
& ( convergent_lines @ L @ M ) )
=> ( ( ( unorthogonal_lines @ M @ N )
& ( convergent_lines @ M @ N ) )
| ( ( unorthogonal_lines @ L @ N )
& ( convergent_lines @ L @ N ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [N: $i,L: $i] :
( ( zip_tseitin_1 @ N @ L )
=> ( ( convergent_lines @ L @ N )
& ( unorthogonal_lines @ L @ N ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [N: $i,M: $i] :
( ( zip_tseitin_0 @ N @ M )
=> ( ( convergent_lines @ M @ N )
& ( unorthogonal_lines @ M @ N ) ) ) ).
thf(zf_stmt_5,axiom,
! [L: $i,M: $i,N: $i] :
( ( ( convergent_lines @ L @ M )
& ( unorthogonal_lines @ L @ M ) )
=> ( ( zip_tseitin_1 @ N @ L )
| ( zip_tseitin_0 @ N @ M ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( unorthogonal_lines @ X0 @ X1 )
| ~ ( convergent_lines @ X0 @ X1 )
| ( zip_tseitin_1 @ X2 @ X0 )
| ( zip_tseitin_0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( unorthogonal_lines @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X2 )
| ~ ( convergent_lines @ X2 @ X1 )
| ~ ( unorthogonal_lines @ X2 @ X1 )
| ( unorthogonal_lines @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl19]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X2 @ X1 )
| ~ ( unorthogonal_lines @ X1 @ ( orthogonal_through_point @ X1 @ X0 ) )
| ( unorthogonal_lines @ ( orthogonal_through_point @ X1 @ X0 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl28]) ).
thf(zip_derived_cl1415,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk__1 )
| ( unorthogonal_lines @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1407,zip_derived_cl88]) ).
thf(zip_derived_cl23_005,plain,
! [X0: $i,X1: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[ooc1]) ).
thf(zip_derived_cl1579,plain,
zip_tseitin_1 @ sk__1 @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl1415,zip_derived_cl23]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1582,plain,
convergent_lines @ sk__1 @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl1579,zip_derived_cl20]) ).
thf(zip_derived_cl2_006,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl1584,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl1582,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Rtr9Giu80o true
% 0.13/0.34 % Computer : n007.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 19:49:13 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
% 0.19/0.34 % Python version: Python 3.6.8
% 0.19/0.34 % Running in FO mode
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.56/1.11 % Solved by fo/fo6_bce.sh.
% 3.56/1.11 % BCE start: 27
% 3.56/1.11 % BCE eliminated: 0
% 3.56/1.11 % PE start: 27
% 3.56/1.11 logic: neq
% 3.56/1.11 % PE eliminated: 1
% 3.56/1.11 % done 249 iterations in 0.410s
% 3.56/1.11 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.56/1.11 % SZS output start Refutation
% See solution above
% 3.56/1.11
% 3.56/1.11
% 3.56/1.11 % Terminating...
% 3.56/1.16 % Runner terminated.
% 3.56/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------