TSTP Solution File: NUM414+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lsHaYkj5Z3 true
% Computer : n019.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 : Thu Aug 31 12:41:17 EDT 2023
% Result : Theorem 0.20s 0.85s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 13 unt; 6 typ; 0 def)
% Number of atoms : 73 ( 12 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 168 ( 31 ~; 29 |; 7 &; 93 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__15_type,type,
sk__15: $i ).
thf(ordinal_subset_type,type,
ordinal_subset: $i > $i > $o ).
thf(proper_subset_type,type,
proper_subset: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(t50_ordinal1,conjecture,
! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ~ ( ~ ( proper_subset @ A @ B )
& ( A != B )
& ~ ( proper_subset @ B @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ~ ( ~ ( proper_subset @ A @ B )
& ( A != B )
& ~ ( proper_subset @ B @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t50_ordinal1]) ).
thf(zip_derived_cl84,plain,
~ ( proper_subset @ sk__15 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_r1_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ( ordinal @ A )
& ( ordinal @ B ) )
=> ( ( ordinal_subset @ A @ B )
<=> ( subset @ A @ B ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( ordinal_subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).
thf(d8_xboole_0,axiom,
! [A: $i,B: $i] :
( ( proper_subset @ A @ B )
<=> ( ( subset @ A @ B )
& ( A != B ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( proper_subset @ X0 @ X1 )
| ( X0 = X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d8_xboole_0]) ).
thf(zip_derived_cl352,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal_subset @ X0 @ X1 )
| ~ ( ordinal @ X1 )
| ~ ( ordinal @ X0 )
| ( X0 = X1 )
| ( proper_subset @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl72,zip_derived_cl16]) ).
thf(zip_derived_cl352_001,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal_subset @ X0 @ X1 )
| ~ ( ordinal @ X1 )
| ~ ( ordinal @ X0 )
| ( X0 = X1 )
| ( proper_subset @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl72,zip_derived_cl16]) ).
thf(zip_derived_cl85,plain,
ordinal @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
ordinal @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(connectedness_r1_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ( ordinal @ A )
& ( ordinal @ B ) )
=> ( ( ordinal_subset @ A @ B )
| ( ordinal_subset @ B @ A ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( ordinal @ X1 )
| ( ordinal_subset @ X0 @ X1 )
| ( ordinal_subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[connectedness_r1_ordinal1]) ).
thf(zip_derived_cl481,plain,
! [X0: $i] :
( ( ordinal_subset @ X0 @ sk__15 )
| ( ordinal_subset @ sk__15 @ X0 )
| ~ ( ordinal @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl13]) ).
thf(zip_derived_cl555,plain,
( ( ordinal_subset @ sk__15 @ sk__16 )
| ( ordinal_subset @ sk__16 @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl481]) ).
thf(zip_derived_cl622,plain,
( ( proper_subset @ sk__16 @ sk__15 )
| ( sk__16 = sk__15 )
| ~ ( ordinal @ sk__16 )
| ~ ( ordinal @ sk__15 )
| ( ordinal_subset @ sk__15 @ sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl352,zip_derived_cl555]) ).
thf(zip_derived_cl82,plain,
~ ( proper_subset @ sk__16 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85_002,plain,
ordinal @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81_003,plain,
ordinal @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl623,plain,
( ( sk__16 = sk__15 )
| ( ordinal_subset @ sk__15 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl622,zip_derived_cl82,zip_derived_cl85,zip_derived_cl81]) ).
thf(zip_derived_cl83,plain,
sk__15 != sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl624,plain,
ordinal_subset @ sk__15 @ sk__16,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl623,zip_derived_cl83]) ).
thf(zip_derived_cl628,plain,
( ( proper_subset @ sk__15 @ sk__16 )
| ( sk__15 = sk__16 )
| ~ ( ordinal @ sk__15 )
| ~ ( ordinal @ sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl352,zip_derived_cl624]) ).
thf(zip_derived_cl81_004,plain,
ordinal @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85_005,plain,
ordinal @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl629,plain,
( ( proper_subset @ sk__15 @ sk__16 )
| ( sk__15 = sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl628,zip_derived_cl81,zip_derived_cl85]) ).
thf(zip_derived_cl83_006,plain,
sk__15 != sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl630,plain,
proper_subset @ sk__15 @ sk__16,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl629,zip_derived_cl83]) ).
thf(zip_derived_cl633,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl630]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lsHaYkj5Z3 true
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 10:05:58 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.85 % Solved by fo/fo3_bce.sh.
% 0.20/0.85 % BCE start: 90
% 0.20/0.85 % BCE eliminated: 12
% 0.20/0.85 % PE start: 78
% 0.20/0.85 logic: eq
% 0.20/0.85 % PE eliminated: -13
% 0.20/0.85 % done 143 iterations in 0.043s
% 0.20/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.85 % SZS output start Refutation
% See solution above
% 0.20/0.85
% 0.20/0.85
% 0.20/0.85 % Terminating...
% 1.99/0.96 % Runner terminated.
% 1.99/0.97 % Zipperpin 1.5 exiting
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