%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET809+4 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BOylfAPL42 true
% Computer : n005.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 04:52:52 PM UTC 2025
% Result : Theorem 0.43s 0.87s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SET809+4 : TPTP v9.2.0. Released v3.2.0.
% 0.08/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BOylfAPL42 true
% 0.08/0.29 % Computer : n005.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Wed Oct 1 12:54:08 EDT 2025
% 0.08/0.30 % CPUTime :
% 0.08/0.30 % Running portfolio for 300 s
% 0.08/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.30 % Number of cores: 8
% 0.08/0.30 % Python version: Python 3.6.8
% 0.08/0.30 % Running in FO mode
% 0.42/0.54 % Total configuration time : 435
% 0.42/0.54 % Estimated wc time : 1092
% 0.42/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.43/0.87 % Solved by fo/fo13.sh.
% 0.43/0.87 % done 205 iterations in 0.185s
% 0.43/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.43/0.87 % SZS output start Refutation
% 0.43/0.87 thf(member_type, type, member: $i > $i > $o).
% 0.43/0.87 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 0.43/0.87 thf(apply_type, type, apply: $i > $i > $i > $o).
% 0.43/0.87 thf(strict_order_type, type, strict_order: $i > $i > $o).
% 0.43/0.87 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 0.43/0.87 thf(least_type, type, least: $i > $i > $i > $o).
% 0.43/0.87 thf(strict_well_order_type, type, strict_well_order: $i > $i > $o).
% 0.43/0.87 thf(subset_type, type, subset: $i > $i > $o).
% 0.43/0.87 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $i > $o).
% 0.43/0.87 thf(member_predicate_type, type, member_predicate: $i).
% 0.43/0.87 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $o).
% 0.43/0.87 thf(on_type, type, on: $i).
% 0.43/0.87 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $o).
% 0.43/0.87 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 0.43/0.87 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 0.43/0.87 thf(sk__13_type, type, sk__13: $i).
% 0.43/0.87 thf(set_type, type, set: $i > $o).
% 0.43/0.87 thf(thV2, conjecture,
% 0.43/0.87 (![A:$i]: ( ( member @ A @ on ) => ( ~( member @ A @ A ) ) ))).
% 0.43/0.87 thf(zf_stmt_0, negated_conjecture,
% 0.43/0.87 (~( ![A:$i]: ( ( member @ A @ on ) => ( ~( member @ A @ A ) ) ) )),
% 0.43/0.87 inference('cnf.neg', [status(esa)], [thV2])).
% 0.43/0.87 thf(zip_derived_cl78, plain, ( (member @ sk__13 @ sk__13)),
% 0.43/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.43/0.87 thf(zip_derived_cl78, plain, ( (member @ sk__13 @ sk__13)),
% 0.43/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.43/0.87 thf(strict_order, axiom,
% 0.43/0.87 (![R:$i,E:$i]:
% 0.43/0.87 ( ( strict_order @ R @ E ) <=>
% 0.43/0.87 ( ( ![X:$i,Y:$i,Z:$i]:
% 0.43/0.87 ( ( ( member @ Z @ E ) & ( member @ Y @ E ) & ( member @ X @ E ) ) =>
% 0.43/0.87 ( ( ( apply @ R @ Y @ Z ) & ( apply @ R @ X @ Y ) ) =>
% 0.43/0.87 ( apply @ R @ X @ Z ) ) ) ) &
% 0.43/0.87 ( ![X:$i,Y:$i]:
% 0.43/0.87 ( ( ( member @ Y @ E ) & ( member @ X @ E ) ) =>
% 0.43/0.87 ( ~( ( apply @ R @ Y @ X ) & ( apply @ R @ X @ Y ) ) ) ) ) ) ))).
% 0.43/0.87 thf(zf_stmt_1, axiom,
% 0.43/0.87 (![Y:$i,X:$i,E:$i]:
% 0.43/0.87 ( ( zip_tseitin_4 @ Y @ X @ E ) <=>
% 0.43/0.87 ( ( member @ X @ E ) & ( member @ Y @ E ) ) ))).
% 0.43/0.87 thf(zip_derived_cl61, plain,
% 0.43/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.87 ( (zip_tseitin_4 @ X0 @ X1 @ X2)
% 0.43/0.87 | ~ (member @ X0 @ X2)
% 0.43/0.87 | ~ (member @ X1 @ X2))),
% 0.43/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/0.87 thf(zip_derived_cl383, plain,
% 0.43/0.87 (![X0 : $i]:
% 0.43/0.87 ( (zip_tseitin_4 @ sk__13 @ X0 @ sk__13) | ~ (member @ X0 @ sk__13))),
% 0.43/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl61])).
% 0.43/0.87 thf(zip_derived_cl448, plain, ( (zip_tseitin_4 @ sk__13 @ sk__13 @ sk__13)),
% 0.43/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl383])).
% 0.43/0.87 thf(zip_derived_cl77, plain, ( (member @ sk__13 @ on)),
% 0.43/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.43/0.87 thf(ordinal_number, axiom,
% 0.43/0.87 (![A:$i]:
% 0.43/0.87 ( ( member @ A @ on ) <=>
% 0.43/0.87 ( ( set @ A ) & ( strict_well_order @ member_predicate @ A ) &
% 0.43/0.87 ( ![X:$i]: ( ( member @ X @ A ) => ( subset @ X @ A ) ) ) ) ))).
% 0.43/0.87 thf(zip_derived_cl30, plain,
% 0.43/0.87 (![X0 : $i]:
% 0.43/0.87 ( (strict_well_order @ member_predicate @ X0) | ~ (member @ X0 @ on))),
% 0.43/0.87 inference('cnf', [status(esa)], [ordinal_number])).
% 0.43/0.87 thf(zip_derived_cl87, plain,
% 0.43/0.87 ( (strict_well_order @ member_predicate @ sk__13)),
% 0.43/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl30])).
% 0.43/0.87 thf(strict_well_order, axiom,
% 0.43/0.87 (![R:$i,E:$i]:
% 0.43/0.87 ( ( strict_well_order @ R @ E ) <=>
% 0.43/0.87 ( ( strict_order @ R @ E ) &
% 0.43/0.87 ( ![A:$i]:
% 0.43/0.87 ( ( ( subset @ A @ E ) & ( ?[X:$i]: ( member @ X @ A ) ) ) =>
% 0.43/0.87 ( ?[Y:$i]: ( least @ Y @ R @ A ) ) ) ) ) ))).
% 0.43/0.87 thf(zip_derived_cl34, plain,
% 0.43/0.87 (![X0 : $i, X1 : $i]:
% 0.43/0.87 ( (strict_order @ X0 @ X1) | ~ (strict_well_order @ X0 @ X1))),
% 0.43/0.87 inference('cnf', [status(esa)], [strict_well_order])).
% 0.43/0.87 thf(zip_derived_cl88, plain, ( (strict_order @ member_predicate @ sk__13)),
% 0.43/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl34])).
% 0.43/0.87 thf(zf_stmt_2, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 0.43/0.87 thf(zf_stmt_3, axiom,
% 0.43/0.87 (![Y:$i,X:$i,E:$i,R:$i]:
% 0.43/0.87 ( ( zip_tseitin_6 @ Y @ X @ E @ R ) <=>
% 0.43/0.87 ( ( zip_tseitin_4 @ Y @ X @ E ) => ( ~( zip_tseitin_5 @ Y @ X @ R ) ) ) ))).
% 0.43/0.87 thf(zf_stmt_4, type, zip_tseitin_5 : $i > $i > $i > $o).
% 0.43/0.87 thf(zf_stmt_5, axiom,
% 0.43/0.87 (![Y:$i,X:$i,R:$i]:
% 0.43/0.87 ( ( zip_tseitin_5 @ Y @ X @ R ) <=>
% 0.43/0.87 ( ( apply @ R @ X @ Y ) & ( apply @ R @ Y @ X ) ) ))).
% 0.43/0.87 thf(zf_stmt_6, type, zip_tseitin_4 : $i > $i > $i > $o).
% 0.43/0.87 thf(zf_stmt_7, type, zip_tseitin_3 : $i > $i > $i > $i > $i > $o).
% 0.43/0.87 thf(zf_stmt_8, axiom,
% 0.43/0.87 (![Z:$i,Y:$i,X:$i,E:$i,R:$i]:
% 0.43/0.87 ( ( zip_tseitin_3 @ Z @ Y @ X @ E @ R ) <=>
% 0.43/0.87 ( ( zip_tseitin_0 @ Z @ Y @ X @ E ) => ( zip_tseitin_2 @ Z @ Y @ X @ R ) ) ))).
% 0.43/0.87 thf(zf_stmt_9, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 0.43/0.87 thf(zf_stmt_10, axiom,
% 0.43/0.87 (![Z:$i,Y:$i,X:$i,R:$i]:
% 0.43/0.87 ( ( zip_tseitin_2 @ Z @ Y @ X @ R ) <=>
% 0.43/0.87 ( ( zip_tseitin_1 @ Z @ Y @ X @ R ) => ( apply @ R @ X @ Z ) ) ))).
% 0.43/0.87 thf(zf_stmt_11, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 0.43/0.87 thf(zf_stmt_12, axiom,
% 0.43/0.87 (![Z:$i,Y:$i,X:$i,R:$i]:
% 0.43/0.87 ( ( zip_tseitin_1 @ Z @ Y @ X @ R ) <=>
% 0.43/0.87 ( ( apply @ R @ X @ Y ) & ( apply @ R @ Y @ Z ) ) ))).
% 0.43/0.87 thf(zf_stmt_13, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 0.43/0.87 thf(zf_stmt_14, axiom,
% 0.43/0.87 (![Z:$i,Y:$i,X:$i,E:$i]:
% 0.43/0.87 ( ( zip_tseitin_0 @ Z @ Y @ X @ E ) <=>
% 0.43/0.87 ( ( member @ X @ E ) & ( member @ Y @ E ) & ( member @ Z @ E ) ) ))).
% 0.43/0.87 thf(zf_stmt_15, axiom,
% 0.43/0.87 (![R:$i,E:$i]:
% 0.43/0.87 ( ( strict_order @ R @ E ) <=>
% 0.43/0.87 ( ( ![X:$i,Y:$i]: ( zip_tseitin_6 @ Y @ X @ E @ R ) ) &
% 0.43/0.87 ( ![X:$i,Y:$i,Z:$i]: ( zip_tseitin_3 @ Z @ Y @ X @ E @ R ) ) ) ))).
% 0.43/0.87 thf(zip_derived_cl68, plain,
% 0.43/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.87 ( (zip_tseitin_6 @ X0 @ X1 @ X2 @ X3) | ~ (strict_order @ X3 @ X2))),
% 0.43/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.43/0.87 thf(zip_derived_cl304, plain,
% 0.43/0.87 (![X0 : $i, X1 : $i]:
% 0.43/0.87 (zip_tseitin_6 @ X1 @ X0 @ sk__13 @ member_predicate)),
% 0.43/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl68])).
% 0.43/0.87 thf(zip_derived_cl65, plain,
% 0.43/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.43/0.87 (~ (zip_tseitin_4 @ X0 @ X1 @ X2)
% 0.43/0.87 | ~ (zip_tseitin_5 @ X0 @ X1 @ X3)
% 0.43/0.87 | ~ (zip_tseitin_6 @ X0 @ X1 @ X2 @ X3))),
% 0.43/0.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.43/0.87 thf(zip_derived_cl305, plain,
% 0.43/0.87 (![X0 : $i, X1 : $i]:
% 0.43/0.87 (~ (zip_tseitin_4 @ X1 @ X0 @ sk__13)
% 0.43/0.87 | ~ (zip_tseitin_5 @ X1 @ X0 @ member_predicate))),
% 0.43/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl304, zip_derived_cl65])).
% 0.43/0.87 thf(zip_derived_cl451, plain,
% 0.43/0.87 (~ (zip_tseitin_5 @ sk__13 @ sk__13 @ member_predicate)),
% 0.43/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl448, zip_derived_cl305])).
% 0.43/0.87 thf(zip_derived_cl78, plain, ( (member @ sk__13 @ sk__13)),
% 0.43/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.43/0.87 thf(rel_member, axiom,
% 0.43/0.87 (![X:$i,Y:$i]:
% 0.43/0.87 ( ( apply @ member_predicate @ X @ Y ) <=> ( member @ X @ Y ) ))).
% 0.43/0.87 thf(zip_derived_cl45, plain,
% 0.43/0.87 (![X0 : $i, X1 : $i]:
% 0.43/0.87 ( (apply @ member_predicate @ X0 @ X1) | ~ (member @ X0 @ X1))),
% 0.43/0.87 inference('cnf', [status(esa)], [rel_member])).
% 0.43/0.87 thf(zip_derived_cl141, plain,
% 0.43/0.87 ( (apply @ member_predicate @ sk__13 @ sk__13)),
% 0.43/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl45])).
% 0.43/0.87 thf(zip_derived_cl64, plain,
% 0.43/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/0.87 ( (zip_tseitin_5 @ X0 @ X1 @ X2)
% 0.43/0.87 | ~ (apply @ X2 @ X0 @ X1)
% 0.43/0.87 | ~ (apply @ X2 @ X1 @ X0))),
% 0.43/0.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.43/0.87 thf(zip_derived_cl748, plain,
% 0.43/0.87 ( (zip_tseitin_5 @ sk__13 @ sk__13 @ member_predicate)),
% 0.43/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl64])).
% 0.43/0.87 thf(zip_derived_cl749, plain, ($false),
% 0.43/0.87 inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl748])).
% 0.43/0.87
% 0.43/0.87 % SZS output end Refutation
% 0.43/0.87
% 0.43/0.87
% 0.43/0.87 % Terminating...
% 1.50/1.01 % Runner terminated.
% 1.50/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------