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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV517+1 : TPTP v9.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.24gOf6dCgE true

% Computer : n014.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 Oct  2 04:57:47 PM UTC 2025

% Result   : Theorem 77.80s 12.22s
% Output   : Refutation 77.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEV517+1 : TPTP v9.2.0. Released v7.3.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.24gOf6dCgE true
% 0.14/0.35  % Computer : n014.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 : Wed Oct  1 15:41:08 EDT 2025
% 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.63/0.71  % Total configuration time : 435
% 0.63/0.71  % Estimated wc time : 1092
% 0.63/0.71  % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.64/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.64/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 77.80/12.22  % Solved by fo/fo6_bce.sh.
% 77.80/12.22  % BCE start: 114
% 77.80/12.22  % BCE eliminated: 0
% 77.80/12.22  % PE start: 114
% 77.80/12.22  logic: eq
% 77.80/12.22  % PE eliminated: 20
% 77.80/12.22  % done 2621 iterations in 11.336s
% 77.80/12.22  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 77.80/12.22  % SZS output start Refutation
% 77.80/12.22  thf(member_type, type, member: $i > $i > $o).
% 77.80/12.22  thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 77.80/12.22  thf(difference_type, type, difference: $i > $i > $i).
% 77.80/12.22  thf(sk__27_type, type, sk__27: $i).
% 77.80/12.22  thf(sk__24_type, type, sk__24: $i).
% 77.80/12.22  thf(sk__26_type, type, sk__26: $i).
% 77.80/12.22  thf(partition_type, type, partition: $i > $i > $o).
% 77.80/12.22  thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 77.80/12.22  thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 77.80/12.22  thf(subset_type, type, subset: $i > $i > $o).
% 77.80/12.22  thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 77.80/12.22  thf(sk__5_type, type, sk__5: $i > $i > $i).
% 77.80/12.22  thf(singleton_type, type, singleton: $i > $i).
% 77.80/12.22  thf(sk__25_type, type, sk__25: $i).
% 77.80/12.22  thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $o).
% 77.80/12.22  thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $o).
% 77.80/12.22  thf(diff_elem_in_partition, conjecture,
% 77.80/12.22    (![X:$i,A:$i,B:$i,P:$i]:
% 77.80/12.22     ( ( ( member @ X @ ( difference @ A @ B ) ) & ( partition @ P @ A ) ) =>
% 77.80/12.22       ( ?[S:$i]:
% 77.80/12.22         ( ( member @ X @ S ) & 
% 77.80/12.22           ( member @ S @ ( difference @ P @ ( singleton @ B ) ) ) ) ) ))).
% 77.80/12.22  thf(zf_stmt_0, negated_conjecture,
% 77.80/12.22    (~( ![X:$i,A:$i,B:$i,P:$i]:
% 77.80/12.22        ( ( ( member @ X @ ( difference @ A @ B ) ) & ( partition @ P @ A ) ) =>
% 77.80/12.22          ( ?[S:$i]:
% 77.80/12.22            ( ( member @ X @ S ) & 
% 77.80/12.22              ( member @ S @ ( difference @ P @ ( singleton @ B ) ) ) ) ) ) )),
% 77.80/12.22    inference('cnf.neg', [status(esa)], [diff_elem_in_partition])).
% 77.80/12.22  thf(zip_derived_cl113, plain,
% 77.80/12.22      ( (member @ sk__24 @ (difference @ sk__25 @ sk__26))),
% 77.80/12.22      inference('cnf', [status(esa)], [zf_stmt_0])).
% 77.80/12.22  thf(difference, axiom,
% 77.80/12.22    (![B:$i,A:$i,E:$i]:
% 77.80/12.22     ( ( member @ B @ ( difference @ E @ A ) ) <=>
% 77.80/12.22       ( ( member @ B @ E ) & ( ~( member @ B @ A ) ) ) ))).
% 77.80/12.22  thf(zip_derived_cl16, plain,
% 77.80/12.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 77.80/12.22         (~ (member @ X0 @ X1) | ~ (member @ X0 @ (difference @ X2 @ X1)))),
% 77.80/12.22      inference('cnf', [status(esa)], [difference])).
% 77.80/12.22  thf(zip_derived_cl859, plain, (~ (member @ sk__24 @ sk__26)),
% 77.80/12.22      inference('s_sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl16])).
% 77.80/12.22  thf(zip_derived_cl112, plain, ( (partition @ sk__27 @ sk__25)),
% 77.80/12.22      inference('cnf', [status(esa)], [zf_stmt_0])).
% 77.80/12.22  thf(partition, axiom,
% 77.80/12.22    (![A:$i,E:$i]:
% 77.80/12.22     ( ( partition @ A @ E ) <=>
% 77.80/12.22       ( ( ![X:$i,Y:$i]:
% 77.80/12.22           ( ( ( member @ Y @ A ) & ( member @ X @ A ) ) =>
% 77.80/12.22             ( ( ?[Z:$i]: ( ( member @ Z @ X ) & ( member @ Z @ Y ) ) ) =>
% 77.80/12.22               ( ( X ) = ( Y ) ) ) ) ) & 
% 77.80/12.22         ( ![X:$i]:
% 77.80/12.22           ( ( member @ X @ E ) =>
% 77.80/12.22             ( ?[Y:$i]: ( ( member @ Y @ A ) & ( member @ X @ Y ) ) ) ) ) & 
% 77.80/12.22         ( ![X:$i]: ( ( member @ X @ A ) => ( subset @ X @ E ) ) ) ) ))).
% 77.80/12.22  thf(zf_stmt_1, type, zip_tseitin_5 : $i > $i > $i > $o).
% 77.80/12.22  thf(zf_stmt_2, axiom,
% 77.80/12.22    (![X:$i,E:$i,A:$i]:
% 77.80/12.22     ( ( zip_tseitin_5 @ X @ E @ A ) <=>
% 77.80/12.22       ( ( member @ X @ A ) => ( subset @ X @ E ) ) ))).
% 77.80/12.22  thf(zf_stmt_3, type, zip_tseitin_4 : $i > $i > $i > $o).
% 77.80/12.22  thf(zf_stmt_4, axiom,
% 77.80/12.22    (![X:$i,E:$i,A:$i]:
% 77.80/12.22     ( ( zip_tseitin_4 @ X @ E @ A ) <=>
% 77.80/12.22       ( ( member @ X @ E ) =>
% 77.80/12.22         ( ?[Y:$i]: ( ( member @ X @ Y ) & ( member @ Y @ A ) ) ) ) ))).
% 77.80/12.22  thf(zf_stmt_5, type, zip_tseitin_3 : $i > $i > $i > $o).
% 77.80/12.22  thf(zf_stmt_6, axiom,
% 77.80/12.22    (![Y:$i,X:$i,A:$i]:
% 77.80/12.22     ( ( zip_tseitin_3 @ Y @ X @ A ) <=>
% 77.80/12.22       ( ( zip_tseitin_0 @ Y @ X @ A ) => ( zip_tseitin_2 @ Y @ X ) ) ))).
% 77.80/12.22  thf(zf_stmt_7, type, zip_tseitin_2 : $i > $i > $o).
% 77.80/12.22  thf(zf_stmt_8, axiom,
% 77.80/12.22    (![Y:$i,X:$i]:
% 77.80/12.22     ( ( zip_tseitin_2 @ Y @ X ) <=>
% 77.80/12.22       ( ( ?[Z:$i]: ( zip_tseitin_1 @ Z @ Y @ X ) ) => ( ( X ) = ( Y ) ) ) ))).
% 77.80/12.22  thf(zf_stmt_9, type, zip_tseitin_1 : $i > $i > $i > $o).
% 77.80/12.22  thf(zf_stmt_10, axiom,
% 77.80/12.22    (![Z:$i,Y:$i,X:$i]:
% 77.80/12.22     ( ( zip_tseitin_1 @ Z @ Y @ X ) <=>
% 77.80/12.22       ( ( member @ Z @ Y ) & ( member @ Z @ X ) ) ))).
% 77.80/12.22  thf(zf_stmt_11, type, zip_tseitin_0 : $i > $i > $i > $o).
% 77.80/12.22  thf(zf_stmt_12, axiom,
% 77.80/12.22    (![Y:$i,X:$i,A:$i]:
% 77.80/12.22     ( ( zip_tseitin_0 @ Y @ X @ A ) <=>
% 77.80/12.22       ( ( member @ X @ A ) & ( member @ Y @ A ) ) ))).
% 77.80/12.22  thf(zf_stmt_13, axiom,
% 77.80/12.22    (![A:$i,E:$i]:
% 77.80/12.22     ( ( partition @ A @ E ) <=>
% 77.80/12.22       ( ( ![X:$i]: ( zip_tseitin_5 @ X @ E @ A ) ) & 
% 77.80/12.22         ( ![X:$i]: ( zip_tseitin_4 @ X @ E @ A ) ) & 
% 77.80/12.22         ( ![X:$i,Y:$i]: ( zip_tseitin_3 @ Y @ X @ A ) ) ) ))).
% 77.80/12.22  thf(zip_derived_cl52, plain,
% 77.80/12.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 77.80/12.22         ( (zip_tseitin_4 @ X0 @ X1 @ X2) | ~ (partition @ X2 @ X1))),
% 77.80/12.22      inference('cnf', [status(esa)], [zf_stmt_13])).
% 77.80/12.22  thf(zip_derived_cl44, plain,
% 77.80/12.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 77.80/12.22         (~ (member @ X0 @ X1)
% 77.80/12.22          |  (member @ (sk__5 @ X2 @ X0) @ X2)
% 77.80/12.22          | ~ (zip_tseitin_4 @ X0 @ X1 @ X2))),
% 77.80/12.22      inference('cnf', [status(esa)], [zf_stmt_4])).
% 77.80/12.22  thf(zip_derived_cl1081, plain,
% 77.80/12.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 77.80/12.22         (~ (partition @ X0 @ X1)
% 77.80/12.22          | ~ (member @ X2 @ X1)
% 77.80/12.22          |  (member @ (sk__5 @ X0 @ X2) @ X0))),
% 77.80/12.22      inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl44])).
% 77.80/12.22  thf(zip_derived_cl1136, plain,
% 77.80/12.22      (![X0 : $i]:
% 77.80/12.22         (~ (member @ X0 @ sk__25) |  (member @ (sk__5 @ sk__27 @ X0) @ sk__27))),
% 77.80/12.22      inference('s_sup-', [status(thm)],
% 77.80/12.22                [zip_derived_cl112, zip_derived_cl1081])).
% 77.80/12.22  thf(zip_derived_cl17, plain,
% 77.80/12.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 77.80/12.22         ( (member @ X0 @ (difference @ X1 @ X2))
% 77.80/12.22          |  (member @ X0 @ X2)
% 77.80/12.22          | ~ (member @ X0 @ X1))),
% 77.80/12.22      inference('cnf', [status(esa)], [difference])).
% 77.80/12.22  thf(zip_derived_cl112, plain, ( (partition @ sk__27 @ sk__25)),
% 77.80/12.22      inference('cnf', [status(esa)], [zf_stmt_0])).
% 77.80/12.22  thf(zip_derived_cl52, plain,
% 77.80/12.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 77.80/12.22         ( (zip_tseitin_4 @ X0 @ X1 @ X2) | ~ (partition @ X2 @ X1))),
% 77.80/12.22      inference('cnf', [status(esa)], [zf_stmt_13])).
% 77.80/12.22  thf(zip_derived_cl45, plain,
% 77.80/12.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 77.80/12.22         (~ (member @ X0 @ X1)
% 77.80/12.22          |  (member @ X0 @ (sk__5 @ X2 @ X0))
% 77.80/12.22          | ~ (zip_tseitin_4 @ X0 @ X1 @ X2))),
% 77.80/12.22      inference('cnf', [status(esa)], [zf_stmt_4])).
% 77.80/12.22  thf(zip_derived_cl1086, plain,
% 77.80/12.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 77.80/12.22         (~ (partition @ X0 @ X1)
% 77.80/12.22          | ~ (member @ X2 @ X1)
% 77.80/12.22          |  (member @ X2 @ (sk__5 @ X0 @ X2)))),
% 77.80/12.22      inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl45])).
% 77.80/12.22  thf(zip_derived_cl1100, plain,
% 77.80/12.22      (![X0 : $i]:
% 77.80/12.22         (~ (member @ X0 @ sk__25) |  (member @ X0 @ (sk__5 @ sk__27 @ X0)))),
% 77.80/12.22      inference('s_sup-', [status(thm)],
% 77.80/12.22                [zip_derived_cl112, zip_derived_cl1086])).
% 77.80/12.22  thf(zip_derived_cl111, plain,
% 77.80/12.22      (![X0 : $i]:
% 77.80/12.22         (~ (member @ sk__24 @ X0)
% 77.80/12.22          | ~ (member @ X0 @ (difference @ sk__27 @ (singleton @ sk__26))))),
% 77.80/12.22      inference('cnf', [status(esa)], [zf_stmt_0])).
% 77.80/12.22  thf(zip_derived_cl5703, plain,
% 77.80/12.22      ((~ (member @ sk__24 @ sk__25)
% 77.80/12.22        | ~ (member @ (sk__5 @ sk__27 @ sk__24) @ 
% 77.80/12.22             (difference @ sk__27 @ (singleton @ sk__26))))),
% 77.80/12.22      inference('s_sup-', [status(thm)],
% 77.80/12.22                [zip_derived_cl1100, zip_derived_cl111])).
% 77.80/12.22  thf(zip_derived_cl113, plain,
% 77.80/12.22      ( (member @ sk__24 @ (difference @ sk__25 @ sk__26))),
% 77.80/12.22      inference('cnf', [status(esa)], [zf_stmt_0])).
% 77.80/12.22  thf(zip_derived_cl15, plain,
% 77.80/12.22      (![X0 : $i, X1 : $i, X2 : $i]:
% 77.80/12.22         ( (member @ X0 @ X1) | ~ (member @ X0 @ (difference @ X1 @ X2)))),
% 77.80/12.22      inference('cnf', [status(esa)], [difference])).
% 77.80/12.22  thf(zip_derived_cl886, plain, ( (member @ sk__24 @ sk__25)),
% 77.80/12.22      inference('s_sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl15])).
% 77.80/12.22  thf(zip_derived_cl5796, plain,
% 77.80/12.22      (~ (member @ (sk__5 @ sk__27 @ sk__24) @ 
% 77.80/12.22          (difference @ sk__27 @ (singleton @ sk__26)))),
% 77.80/12.22      inference('demod', [status(thm)], [zip_derived_cl5703, zip_derived_cl886])).
% 77.80/12.22  thf(zip_derived_cl5874, plain,
% 77.80/12.22      ((~ (member @ (sk__5 @ sk__27 @ sk__24) @ sk__27)
% 77.80/12.22        |  (member @ (sk__5 @ sk__27 @ sk__24) @ (singleton @ sk__26)))),
% 77.80/12.22      inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl5796])).
% 77.80/12.22  thf(zip_derived_cl32639, plain,
% 77.80/12.22      ((~ (member @ sk__24 @ sk__25)
% 77.80/12.22        |  (member @ (sk__5 @ sk__27 @ sk__24) @ (singleton @ sk__26)))),
% 77.80/12.22      inference('s_sup-', [status(thm)],
% 77.80/12.22                [zip_derived_cl1136, zip_derived_cl5874])).
% 77.80/12.22  thf(zip_derived_cl886, plain, ( (member @ sk__24 @ sk__25)),
% 77.80/12.22      inference('s_sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl15])).
% 77.80/12.22  thf(zip_derived_cl32640, plain,
% 77.80/12.22      ( (member @ (sk__5 @ sk__27 @ sk__24) @ (singleton @ sk__26))),
% 77.80/12.22      inference('demod', [status(thm)],
% 77.80/12.22                [zip_derived_cl32639, zip_derived_cl886])).
% 77.80/12.22  thf(singleton, axiom,
% 77.80/12.22    (![X:$i,A:$i]: ( ( member @ X @ ( singleton @ A ) ) <=> ( ( X ) = ( A ) ) ))).
% 77.80/12.22  thf(zip_derived_cl18, plain,
% 77.80/12.22      (![X0 : $i, X1 : $i]:
% 77.80/12.22         (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 77.80/12.22      inference('cnf', [status(esa)], [singleton])).
% 77.80/12.22  thf(zip_derived_cl32718, plain, (((sk__5 @ sk__27 @ sk__24) = (sk__26))),
% 77.80/12.22      inference('s_sup-', [status(thm)],
% 77.80/12.22                [zip_derived_cl32640, zip_derived_cl18])).
% 77.80/12.22  thf(zip_derived_cl1100, plain,
% 77.80/12.22      (![X0 : $i]:
% 77.80/12.22         (~ (member @ X0 @ sk__25) |  (member @ X0 @ (sk__5 @ sk__27 @ X0)))),
% 77.80/12.22      inference('s_sup-', [status(thm)],
% 77.80/12.22                [zip_derived_cl112, zip_derived_cl1086])).
% 77.80/12.22  thf(zip_derived_cl32735, plain,
% 77.80/12.22      ((~ (member @ sk__24 @ sk__25) |  (member @ sk__24 @ sk__26))),
% 77.80/12.22      inference('s_sup+', [status(thm)],
% 77.80/12.22                [zip_derived_cl32718, zip_derived_cl1100])).
% 77.80/12.22  thf(zip_derived_cl886, plain, ( (member @ sk__24 @ sk__25)),
% 77.80/12.22      inference('s_sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl15])).
% 77.80/12.22  thf(zip_derived_cl32738, plain, ( (member @ sk__24 @ sk__26)),
% 77.80/12.22      inference('demod', [status(thm)],
% 77.80/12.22                [zip_derived_cl32735, zip_derived_cl886])).
% 77.80/12.22  thf(zip_derived_cl32945, plain, ($false),
% 77.80/12.22      inference('demod', [status(thm)],
% 77.80/12.22                [zip_derived_cl859, zip_derived_cl32738])).
% 77.80/12.22  
% 77.80/12.22  % SZS output end Refutation
% 77.80/12.22  
% 77.80/12.22  
% 77.80/12.22  % Terminating...
% 78.51/12.35  % Runner terminated.
% 78.51/12.37  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------