TSTP Solution File: GEO218+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO218+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.LqOlNRF1bp true
% Computer : n004.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 23:57:45 EDT 2023
% Result : Theorem 1.34s 0.81s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 62 ( 18 unt; 12 typ; 0 def)
% Number of atoms : 106 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 309 ( 43 ~; 40 |; 4 &; 210 @)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 0 ^; 77 !; 0 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(parallel_lines_type,type,
parallel_lines: $i > $i > $o ).
thf(distinct_lines_type,type,
distinct_lines: $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(orthogonal_lines_type,type,
orthogonal_lines: $i > $i > $o ).
thf(unorthogonal_lines_type,type,
unorthogonal_lines: $i > $i > $o ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(con,conjecture,
! [L: $i,M: $i,N: $i] :
( ( ( parallel_lines @ L @ M )
& ( orthogonal_lines @ L @ N ) )
=> ( orthogonal_lines @ M @ N ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [L: $i,M: $i,N: $i] :
( ( ( parallel_lines @ L @ M )
& ( orthogonal_lines @ L @ N ) )
=> ( orthogonal_lines @ M @ N ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl50,plain,
parallel_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(a3,axiom,
! [X: $i,Y: $i] :
( ( parallel_lines @ X @ Y )
<=> ~ ( convergent_lines @ X @ Y ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ~ ( convergent_lines @ X0 @ X1 )
| ~ ( parallel_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[a3]) ).
thf(zip_derived_cl60,plain,
~ ( convergent_lines @ sk_ @ sk__1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl42]) ).
thf(a5,axiom,
! [X: $i,Y: $i] :
( ( orthogonal_lines @ X @ Y )
<=> ~ ( unorthogonal_lines @ X @ Y ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( orthogonal_lines @ X0 @ X1 )
| ( unorthogonal_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl48,plain,
~ ( orthogonal_lines @ sk__1 @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
unorthogonal_lines @ sk__1 @ sk__2,
inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl48]) ).
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_1,axiom,
! [M: $i,L: $i] :
( ( ~ ( convergent_lines @ L @ M )
| ~ ( unorthogonal_lines @ L @ M ) )
=> ( zip_tseitin_3 @ M @ L ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ( convergent_lines @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
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_cl29,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ( unorthogonal_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_cl64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( unorthogonal_lines @ X2 @ X0 )
| ~ ( unorthogonal_lines @ X1 @ X0 )
| ~ ( convergent_lines @ X1 @ X0 )
| ~ ( zip_tseitin_3 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl32]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( convergent_lines @ X2 @ X1 )
| ~ ( convergent_lines @ X1 @ X0 )
| ~ ( unorthogonal_lines @ X1 @ X0 )
| ( unorthogonal_lines @ X2 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl64]) ).
thf(zip_derived_cl318,plain,
! [X0: $i] :
( ( unorthogonal_lines @ X0 @ sk__2 )
| ~ ( convergent_lines @ sk__1 @ sk__2 )
| ( convergent_lines @ X0 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl73]) ).
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(zip_derived_cl49,plain,
orthogonal_lines @ sk_ @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ~ ( unorthogonal_lines @ X0 @ X1 )
| ~ ( orthogonal_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[a5]) ).
thf(zip_derived_cl67,plain,
~ ( unorthogonal_lines @ sk_ @ sk__2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl46]) ).
thf(zip_derived_cl89,plain,
convergent_lines @ sk_ @ sk__2,
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl67]) ).
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_cl102,plain,
! [X0: $i] :
( ( convergent_lines @ sk_ @ X0 )
| ( distinct_lines @ sk__2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl13]) ).
thf(zip_derived_cl60_001,plain,
~ ( convergent_lines @ sk_ @ sk__1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl42]) ).
thf(zip_derived_cl111,plain,
distinct_lines @ sk__2 @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl60]) ).
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_cl115,plain,
! [X0: $i] :
( ( distinct_lines @ sk__1 @ X0 )
| ( distinct_lines @ sk__2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl4]) ).
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_cl125,plain,
distinct_lines @ sk__1 @ sk__2,
inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl1]) ).
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(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_cl92,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( distinct_lines @ X1 @ X0 )
| ( convergent_lines @ X0 @ X2 )
| ( convergent_lines @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl5]) ).
thf(zip_derived_cl136,plain,
! [X0: $i] :
( ( convergent_lines @ sk__1 @ X0 )
| ( convergent_lines @ sk__2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl92]) ).
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_cl147,plain,
convergent_lines @ sk__1 @ sk__2,
inference('sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl2]) ).
thf(zip_derived_cl324,plain,
! [X0: $i] :
( ( unorthogonal_lines @ X0 @ sk__2 )
| ( convergent_lines @ X0 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl318,zip_derived_cl147]) ).
thf(zip_derived_cl67_002,plain,
~ ( unorthogonal_lines @ sk_ @ sk__2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl46]) ).
thf(zip_derived_cl331,plain,
convergent_lines @ sk_ @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl67]) ).
thf(zip_derived_cl334,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO218+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.LqOlNRF1bp true
% 0.13/0.35 % Computer : n004.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 21:20:07 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
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 1.02/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.02/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.02/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.02/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.02/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.02/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.34/0.81 % Solved by fo/fo3_bce.sh.
% 1.34/0.81 % BCE start: 51
% 1.34/0.81 % BCE eliminated: 0
% 1.34/0.81 % PE start: 51
% 1.34/0.81 logic: neq
% 1.34/0.81 % PE eliminated: 12
% 1.34/0.81 % done 128 iterations in 0.051s
% 1.34/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.81 % SZS output start Refutation
% See solution above
% 1.34/0.81
% 1.34/0.81
% 1.34/0.81 % Terminating...
% 1.79/0.88 % Runner terminated.
% 1.79/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------