TSTP Solution File: GEO222+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO222+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.pLXONHOUie true
% Computer : n023.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 23:57:48 EDT 2023
% Result : Theorem 0.54s 0.81s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 47 ( 16 unt; 10 typ; 0 def)
% Number of atoms : 77 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 299 ( 39 ~; 30 |; 3 &; 220 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 0 ^; 67 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(parallel_lines_type,type,
parallel_lines: $i > $i > $o ).
thf(orthogonal_through_point_type,type,
orthogonal_through_point: $i > $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(unorthogonal_lines_type,type,
unorthogonal_lines: $i > $i > $o ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
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_0,axiom,
! [M: $i,L: $i] :
( ( ~ ( convergent_lines @ L @ M )
| ~ ( unorthogonal_lines @ L @ M ) )
=> ( zip_tseitin_3 @ M @ L ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ( unorthogonal_lines @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(ooc1,axiom,
! [A: $i,L: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ L @ A ) @ L ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[ooc1]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i] : ( convergent_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl24]) ).
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_cl79,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_cl75,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_cl84,plain,
! [X0: $i,X1: $i] : ( convergent_lines @ X1 @ ( orthogonal_through_point @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl2]) ).
thf(a3,axiom,
! [X: $i,Y: $i] :
( ( parallel_lines @ X @ Y )
<=> ~ ( convergent_lines @ X @ Y ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ( parallel_lines @ X0 @ X1 )
| ( convergent_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[a3]) ).
thf(con,conjecture,
! [A: $i,L: $i] : ( parallel_lines @ L @ ( orthogonal_through_point @ ( orthogonal_through_point @ L @ A ) @ A ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [A: $i,L: $i] : ( parallel_lines @ L @ ( orthogonal_through_point @ ( orthogonal_through_point @ L @ A ) @ A ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl48,plain,
~ ( parallel_lines @ sk__1 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl59,plain,
convergent_lines @ sk__1 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl48]) ).
thf(couo1,axiom,
! [L: $i,M: $i,N: $i] :
( ( ~ ( unorthogonal_lines @ L @ M )
& ~ ( unorthogonal_lines @ L @ N ) )
=> ~ ( convergent_lines @ M @ N ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( unorthogonal_lines @ X0 @ X1 )
| ( unorthogonal_lines @ X0 @ X2 )
| ~ ( convergent_lines @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[couo1]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] :
( ( unorthogonal_lines @ X0 @ sk__1 )
| ( unorthogonal_lines @ X0 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl33]) ).
thf(zf_stmt_2,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_2]) ).
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_cl62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( convergent_lines @ X2 @ X0 )
| ~ ( unorthogonal_lines @ X1 @ X0 )
| ~ ( convergent_lines @ X1 @ X0 )
| ~ ( zip_tseitin_3 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl32]) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i] :
( ( unorthogonal_lines @ X0 @ sk__1 )
| ( convergent_lines @ X1 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) )
| ~ ( convergent_lines @ X0 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) )
| ~ ( zip_tseitin_3 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl62]) ).
thf(zip_derived_cl328,plain,
! [X0: $i] :
( ( unorthogonal_lines @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk__1 )
| ( convergent_lines @ X0 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) )
| ~ ( zip_tseitin_3 @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl132]) ).
thf(zip_derived_cl24_001,plain,
! [X0: $i,X1: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[ooc1]) ).
thf(zip_derived_cl339,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) )
| ~ ( zip_tseitin_3 @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl328,zip_derived_cl24]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl347,plain,
~ ( zip_tseitin_3 @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl2]) ).
thf(zip_derived_cl358,plain,
unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ ( orthogonal_through_point @ sk__1 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl347]) ).
thf(zip_derived_cl24_003,plain,
! [X0: $i,X1: $i] :
~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[ooc1]) ).
thf(zip_derived_cl413,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pLXONHOUie true
% 0.13/0.34 % Computer : n023.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 22:57:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/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
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.54/0.81 % Solved by fo/fo6_bce.sh.
% 0.54/0.81 % BCE start: 49
% 0.54/0.81 % BCE eliminated: 0
% 0.54/0.81 % PE start: 49
% 0.54/0.81 logic: neq
% 0.54/0.81 % PE eliminated: 12
% 0.54/0.81 % done 95 iterations in 0.091s
% 0.54/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.81 % SZS output start Refutation
% See solution above
% 0.54/0.81
% 0.54/0.81
% 0.54/0.81 % Terminating...
% 0.57/0.86 % Runner terminated.
% 0.57/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------