TSTP Solution File: GEO218+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO218+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.rHMfjyoSf7 true
% Computer : n032.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 23:57:44 EDT 2023
% Result : Theorem 0.96s 0.65s
% Output : Refutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 41 ( 10 unt; 9 typ; 0 def)
% Number of atoms : 75 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 232 ( 41 ~; 31 |; 5 &; 148 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 50 ( 0 ^; 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(unorthogonal_lines_type,type,
unorthogonal_lines: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(convergent_lines_type,type,
convergent_lines: $i > $i > $o ).
thf(con,conjecture,
! [L: $i,M: $i,N: $i] :
( ( ~ ( convergent_lines @ L @ M )
& ~ ( unorthogonal_lines @ L @ N ) )
=> ~ ( unorthogonal_lines @ M @ N ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [L: $i,M: $i,N: $i] :
( ( ~ ( convergent_lines @ L @ M )
& ~ ( unorthogonal_lines @ L @ N ) )
=> ~ ( unorthogonal_lines @ M @ N ) ),
inference('cnf.neg',[status(esa)],[con]) ).
thf(zip_derived_cl23,plain,
~ ( convergent_lines @ sk_ @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_1 @ M @ L ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ( convergent_lines @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21,plain,
unorthogonal_lines @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(coipo1,axiom,
! [L: $i,M: $i] :
~ ( ~ ( convergent_lines @ L @ M )
& ~ ( unorthogonal_lines @ L @ M ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ X0 @ X1 )
| ( unorthogonal_lines @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[coipo1]) ).
thf(zip_derived_cl22,plain,
~ ( unorthogonal_lines @ sk_ @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
convergent_lines @ sk_ @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl22]) ).
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_cl37,plain,
! [X0: $i] :
( ( convergent_lines @ sk_ @ X0 )
| ( convergent_lines @ sk__2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl5]) ).
thf(zip_derived_cl5_001,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_cl44,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ sk_ @ X0 )
| ( convergent_lines @ sk__2 @ X1 )
| ( convergent_lines @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,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_cl65,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk__2 )
| ( convergent_lines @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl2]) ).
thf(zf_stmt_2,axiom,
! [N: $i,L: $i] :
( ( ~ ( convergent_lines @ L @ N )
| ~ ( unorthogonal_lines @ L @ N ) )
=> ( zip_tseitin_0 @ N @ L ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( unorthogonal_lines @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zf_stmt_3,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_4,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [L: $i,M: $i,N: $i] :
( ( ( zip_tseitin_1 @ M @ L )
& ( zip_tseitin_0 @ N @ L ) )
=> ( ~ ( convergent_lines @ M @ N )
| ~ ( unorthogonal_lines @ M @ N ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X2 @ X1 )
| ~ ( convergent_lines @ X0 @ X2 )
| ~ ( unorthogonal_lines @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( unorthogonal_lines @ X2 @ X0 )
| ~ ( unorthogonal_lines @ X1 @ X0 )
| ~ ( convergent_lines @ X1 @ X0 )
| ~ ( zip_tseitin_1 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl19]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i] :
( ( convergent_lines @ sk_ @ X0 )
| ( unorthogonal_lines @ X1 @ sk__2 )
| ~ ( unorthogonal_lines @ X0 @ sk__2 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl25]) ).
thf(zip_derived_cl103,plain,
! [X0: $i] :
( ( convergent_lines @ sk_ @ sk__1 )
| ( unorthogonal_lines @ X0 @ sk__2 )
| ~ ( zip_tseitin_1 @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl83]) ).
thf(zip_derived_cl23_002,plain,
~ ( convergent_lines @ sk_ @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105,plain,
! [X0: $i] :
( ( unorthogonal_lines @ X0 @ sk__2 )
| ~ ( zip_tseitin_1 @ sk__1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl23]) ).
thf(zip_derived_cl110,plain,
! [X0: $i] :
( ( convergent_lines @ X0 @ sk__1 )
| ( unorthogonal_lines @ X0 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl105]) ).
thf(zip_derived_cl22_003,plain,
~ ( unorthogonal_lines @ sk_ @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133,plain,
convergent_lines @ sk_ @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl22]) ).
thf(zip_derived_cl134,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO218+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rHMfjyoSf7 true
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Wed Aug 30 00:07:02 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % Running portfolio for 300 s
% 0.11/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.30 % Number of cores: 8
% 0.11/0.31 % Python version: Python 3.6.8
% 0.11/0.31 % Running in FO mode
% 0.16/0.52 % Total configuration time : 435
% 0.16/0.52 % Estimated wc time : 1092
% 0.16/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.61 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.62 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.62 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.62 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.62 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.63 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.63 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.96/0.65 % Solved by fo/fo6_bce.sh.
% 0.96/0.65 % BCE start: 24
% 0.96/0.65 % BCE eliminated: 0
% 0.96/0.65 % PE start: 24
% 0.96/0.65 logic: neq
% 0.96/0.65 % PE eliminated: 1
% 0.96/0.65 % done 46 iterations in 0.030s
% 0.96/0.65 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.96/0.65 % SZS output start Refutation
% See solution above
% 0.96/0.65
% 0.96/0.65
% 0.96/0.65 % Terminating...
% 1.39/0.74 % Runner terminated.
% 1.39/0.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------