TSTP Solution File: GEO212+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO212+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4zEKHYcXD2 true
% Computer : n024.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 23:57:39 EDT 2023
% Result : Theorem 0.58s 0.81s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 50 ( 13 unt; 9 typ; 0 def)
% Number of atoms : 96 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 267 ( 22 ~; 37 |; 6 &; 190 @)
% ( 0 <=>; 7 =>; 5 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 59 ( 0 ^; 59 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(unorthogonal_lines_type,type,
unorthogonal_lines: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(con,conjecture,
! [L: $i,M: $i,N: $i] :
( ( unorthogonal_lines @ L @ M )
=> ( ( convergent_lines @ L @ N )
| ( unorthogonal_lines @ M @ N ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [L: $i,M: $i,N: $i] :
( ( unorthogonal_lines @ L @ M )
=> ( ( convergent_lines @ L @ N )
| ( unorthogonal_lines @ M @ N ) ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl28,plain,
unorthogonal_lines @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl62,plain,
! [X0: $i] :
( ~ ( convergent_lines @ sk_ @ sk__1 )
| ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl22]) ).
thf(zip_derived_cl66,plain,
( ~ ( convergent_lines @ sk_ @ sk__1 )
<= ~ ( convergent_lines @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl65,plain,
( ! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk__1 ) )
<= ! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk__1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
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_cl67,plain,
( ! [X0: $i] :
( ( zip_tseitin_0 @ X0 @ sk__1 )
| ( convergent_lines @ sk_ @ X0 ) )
<= ! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl20]) ).
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_cl70,plain,
( ! [X0: $i] :
( ( convergent_lines @ sk_ @ X0 )
| ( unorthogonal_lines @ sk__1 @ X0 ) )
<= ! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl19]) ).
thf(zip_derived_cl26,plain,
~ ( unorthogonal_lines @ sk__1 @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
( ( convergent_lines @ sk_ @ sk__2 )
<= ! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl26]) ).
thf(zip_derived_cl27,plain,
~ ( convergent_lines @ sk_ @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
~ ! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl27]) ).
thf('1',plain,
( ~ ( convergent_lines @ sk_ @ sk__1 )
| ! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk__1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf('2',plain,
~ ( convergent_lines @ sk_ @ sk__1 ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl86,plain,
~ ( convergent_lines @ sk_ @ sk__1 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl66,'2']) ).
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_cl26_001,plain,
~ ( unorthogonal_lines @ sk__1 @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
convergent_lines @ sk__1 @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl26]) ).
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_cl42,plain,
! [X0: $i] :
( ( convergent_lines @ sk__1 @ X0 )
| ( convergent_lines @ sk__2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,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_cl47,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ sk__1 @ X0 )
| ( convergent_lines @ sk__2 @ X1 )
| ( convergent_lines @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,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_cl117,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk__2 )
| ( convergent_lines @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,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_cl132,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ X0 @ sk__2 )
| ( convergent_lines @ sk__1 @ X1 )
| ( convergent_lines @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl5]) ).
thf(zip_derived_cl2_004,plain,
! [X0: $i] :
~ ( convergent_lines @ X0 @ X0 ),
inference(cnf,[status(esa)],[apart3]) ).
thf(zip_derived_cl162,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk__1 )
| ( convergent_lines @ X0 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl2]) ).
thf(zip_derived_cl27_005,plain,
~ ( convergent_lines @ sk_ @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
convergent_lines @ sk_ @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl27]) ).
thf(zip_derived_cl197,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO212+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4zEKHYcXD2 true
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 20:56:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/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
% 0.51/0.66 % Total configuration time : 435
% 0.51/0.66 % Estimated wc time : 1092
% 0.51/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.81 % Solved by fo/fo1_av.sh.
% 0.58/0.81 % done 88 iterations in 0.047s
% 0.58/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.81 % SZS output start Refutation
% See solution above
% 0.58/0.81
% 0.58/0.81
% 0.58/0.81 % Terminating...
% 0.58/0.86 % Runner terminated.
% 0.58/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------