%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET807+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.yIZMsRcjih true
% Computer : n012.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 74.09s 11.17s
% Output : Refutation 74.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET807+4 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yIZMsRcjih true
% 0.12/0.34 % Computer : n012.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 : Wed Oct 1 13:11:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 74.09/11.17 % Solved by fo/fo3_bce.sh.
% 74.09/11.17 % BCE start: 105
% 74.09/11.17 % BCE eliminated: 0
% 74.09/11.17 % PE start: 105
% 74.09/11.17 logic: eq
% 74.09/11.17 % PE eliminated: 8
% 74.09/11.17 % done 4264 iterations in 10.430s
% 74.09/11.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 74.09/11.17 % SZS output start Refutation
% 74.09/11.17 thf(member_type, type, member: $i > $i > $o).
% 74.09/11.17 thf(sk__17_type, type, sk__17: $i > $i > $i).
% 74.09/11.17 thf(sk__20_type, type, sk__20: $i).
% 74.09/11.17 thf(apply_type, type, apply: $i > $i > $i > $o).
% 74.09/11.17 thf(zip_tseitin_14_type, type, zip_tseitin_14: $i > $i > $i > $i > $o).
% 74.09/11.17 thf(zip_tseitin_16_type, type, zip_tseitin_16: $i > $i > $i > $o).
% 74.09/11.17 thf(pre_order_type, type, pre_order: $i > $i > $o).
% 74.09/11.17 thf(sk__19_type, type, sk__19: $i > $i > $i).
% 74.09/11.17 thf(sk__type, type, sk_: $i > $i > $i).
% 74.09/11.17 thf(subset_predicate_type, type, subset_predicate: $i).
% 74.09/11.17 thf(subset_type, type, subset: $i > $i > $o).
% 74.09/11.17 thf(power_set_type, type, power_set: $i > $i).
% 74.09/11.17 thf(sk__16_type, type, sk__16: $i > $i > $i).
% 74.09/11.17 thf(sk__18_type, type, sk__18: $i > $i > $i).
% 74.09/11.17 thf(zip_tseitin_15_type, type, zip_tseitin_15: $i > $i > $i > $i > $o).
% 74.09/11.17 thf(power_set, axiom,
% 74.09/11.17 (![X:$i,A:$i]:
% 74.09/11.17 ( ( member @ X @ ( power_set @ A ) ) <=> ( subset @ X @ A ) ))).
% 74.09/11.17 thf(zip_derived_cl6, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (subset @ X0 @ X1) | ~ (member @ X0 @ (power_set @ X1)))),
% 74.09/11.17 inference('cnf', [status(esa)], [power_set])).
% 74.09/11.17 thf(rel_subset, axiom,
% 74.09/11.17 (![X:$i,Y:$i]:
% 74.09/11.17 ( ( apply @ subset_predicate @ X @ Y ) <=> ( subset @ X @ Y ) ))).
% 74.09/11.17 thf(zip_derived_cl103, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (apply @ subset_predicate @ X0 @ X1) | ~ (subset @ X0 @ X1))),
% 74.09/11.17 inference('cnf', [status(esa)], [rel_subset])).
% 74.09/11.17 thf(zip_derived_cl683, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 (~ (member @ X1 @ (power_set @ X0))
% 74.09/11.17 | (apply @ subset_predicate @ X1 @ X0))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl6, zip_derived_cl103])).
% 74.09/11.17 thf(pre_order, axiom,
% 74.09/11.17 (![R:$i,E:$i]:
% 74.09/11.17 ( ( pre_order @ R @ E ) <=>
% 74.09/11.17 ( ( ![X:$i,Y:$i,Z:$i]:
% 74.09/11.17 ( ( ( member @ Z @ E ) & ( member @ Y @ E ) & ( member @ X @ E ) ) =>
% 74.09/11.17 ( ( ( apply @ R @ Y @ Z ) & ( apply @ R @ X @ Y ) ) =>
% 74.09/11.17 ( apply @ R @ X @ Z ) ) ) ) &
% 74.09/11.17 ( ![X:$i]: ( ( member @ X @ E ) => ( apply @ R @ X @ X ) ) ) ) ))).
% 74.09/11.17 thf(zf_stmt_0, type, zip_tseitin_16 : $i > $i > $i > $o).
% 74.09/11.17 thf(zf_stmt_1, axiom,
% 74.09/11.17 (![X:$i,E:$i,R:$i]:
% 74.09/11.17 ( ( zip_tseitin_16 @ X @ E @ R ) <=>
% 74.09/11.17 ( ( member @ X @ E ) => ( apply @ R @ X @ X ) ) ))).
% 74.09/11.17 thf(zf_stmt_2, type, zip_tseitin_15 : $i > $i > $i > $i > $o).
% 74.09/11.17 thf(zf_stmt_3, axiom,
% 74.09/11.17 (![Z:$i,Y:$i,X:$i,R:$i]:
% 74.09/11.17 ( ( zip_tseitin_15 @ Z @ Y @ X @ R ) <=>
% 74.09/11.17 ( ( ( apply @ R @ X @ Y ) & ( apply @ R @ Y @ Z ) ) =>
% 74.09/11.17 ( apply @ R @ X @ Z ) ) ))).
% 74.09/11.17 thf(zf_stmt_4, type, zip_tseitin_14 : $i > $i > $i > $i > $o).
% 74.09/11.17 thf(zf_stmt_5, axiom,
% 74.09/11.17 (![Z:$i,Y:$i,X:$i,E:$i]:
% 74.09/11.17 ( ( zip_tseitin_14 @ Z @ Y @ X @ E ) <=>
% 74.09/11.17 ( ( member @ X @ E ) & ( member @ Y @ E ) & ( member @ Z @ E ) ) ))).
% 74.09/11.17 thf(zf_stmt_6, axiom,
% 74.09/11.17 (![R:$i,E:$i]:
% 74.09/11.17 ( ( pre_order @ R @ E ) <=>
% 74.09/11.17 ( ( ![X:$i]: ( zip_tseitin_16 @ X @ E @ R ) ) &
% 74.09/11.17 ( ![X:$i,Y:$i,Z:$i]:
% 74.09/11.17 ( ( zip_tseitin_14 @ Z @ Y @ X @ E ) =>
% 74.09/11.17 ( zip_tseitin_15 @ Z @ Y @ X @ R ) ) ) ) ))).
% 74.09/11.17 thf(zip_derived_cl101, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (pre_order @ X0 @ X1)
% 74.09/11.17 | ~ (zip_tseitin_15 @ (sk__18 @ X1 @ X0) @ (sk__17 @ X1 @ X0) @
% 74.09/11.17 (sk__16 @ X1 @ X0) @ X0)
% 74.09/11.17 | ~ (zip_tseitin_16 @ (sk__19 @ X1 @ X0) @ X1 @ X0))),
% 74.09/11.17 inference('cnf', [status(esa)], [zf_stmt_6])).
% 74.09/11.17 thf(thIV18a, conjecture,
% 74.09/11.17 (![E:$i]: ( pre_order @ subset_predicate @ ( power_set @ E ) ))).
% 74.09/11.17 thf(zf_stmt_7, negated_conjecture,
% 74.09/11.17 (~( ![E:$i]: ( pre_order @ subset_predicate @ ( power_set @ E ) ) )),
% 74.09/11.17 inference('cnf.neg', [status(esa)], [thIV18a])).
% 74.09/11.17 thf(zip_derived_cl104, plain,
% 74.09/11.17 (~ (pre_order @ subset_predicate @ (power_set @ sk__20))),
% 74.09/11.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 74.09/11.17 thf(zip_derived_cl651, plain,
% 74.09/11.17 ((~ (zip_tseitin_16 @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (power_set @ sk__20) @ subset_predicate)
% 74.09/11.17 | ~ (zip_tseitin_15 @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 subset_predicate))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl101, zip_derived_cl104])).
% 74.09/11.17 thf(zip_derived_cl93, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 74.09/11.17 ( (zip_tseitin_15 @ X0 @ X1 @ X2 @ X3) | (apply @ X3 @ X1 @ X0))),
% 74.09/11.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 74.09/11.17 thf(zip_derived_cl1155, plain,
% 74.09/11.17 ((~ (zip_tseitin_16 @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (power_set @ sk__20) @ subset_predicate)
% 74.09/11.17 | (apply @ subset_predicate @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate)))),
% 74.09/11.17 inference('sup+', [status(thm)], [zip_derived_cl651, zip_derived_cl93])).
% 74.09/11.17 thf(zip_derived_cl96, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.09/11.17 ( (zip_tseitin_16 @ X0 @ X1 @ X2) | ~ (apply @ X2 @ X0 @ X0))),
% 74.09/11.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 74.09/11.17 thf(zip_derived_cl1348, plain,
% 74.09/11.17 (( (apply @ subset_predicate @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate))
% 74.09/11.17 | ~ (apply @ subset_predicate @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate)))),
% 74.09/11.17 inference('sup+', [status(thm)], [zip_derived_cl1155, zip_derived_cl96])).
% 74.09/11.17 thf(zip_derived_cl1386, plain,
% 74.09/11.17 ((~ (member @ (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (power_set @ (sk__19 @ (power_set @ sk__20) @ subset_predicate)))
% 74.09/11.17 | (apply @ subset_predicate @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate)))),
% 74.09/11.17 inference('sup-', [status(thm)], [zip_derived_cl683, zip_derived_cl1348])).
% 74.09/11.17 thf(subset, axiom,
% 74.09/11.17 (![A:$i,B:$i]:
% 74.09/11.17 ( ( subset @ A @ B ) <=>
% 74.09/11.17 ( ![X:$i]: ( ( member @ X @ A ) => ( member @ X @ B ) ) ) ))).
% 74.09/11.17 thf(zip_derived_cl1, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (subset @ X0 @ X1) | ~ (member @ (sk_ @ X1 @ X0) @ X1))),
% 74.09/11.17 inference('cnf', [status(esa)], [subset])).
% 74.09/11.17 thf(zip_derived_cl7, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (member @ X0 @ (power_set @ X1)) | ~ (subset @ X0 @ X1))),
% 74.09/11.17 inference('cnf', [status(esa)], [power_set])).
% 74.09/11.17 thf(zip_derived_cl673, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 (~ (member @ (sk_ @ X0 @ X1) @ X0) | (member @ X1 @ (power_set @ X0)))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl1, zip_derived_cl7])).
% 74.09/11.17 thf(zip_derived_cl2, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (subset @ X0 @ X1) | (member @ (sk_ @ X1 @ X0) @ X0))),
% 74.09/11.17 inference('cnf', [status(esa)], [subset])).
% 74.09/11.17 thf(zip_derived_cl7, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (member @ X0 @ (power_set @ X1)) | ~ (subset @ X0 @ X1))),
% 74.09/11.17 inference('cnf', [status(esa)], [power_set])).
% 74.09/11.17 thf(zip_derived_cl677, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (member @ (sk_ @ X0 @ X1) @ X1) | (member @ X1 @ (power_set @ X0)))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl2, zip_derived_cl7])).
% 74.09/11.17 thf(zip_derived_cl1052, plain,
% 74.09/11.17 (![X0 : $i]:
% 74.09/11.17 ( (member @ X0 @ (power_set @ X0)) | (member @ X0 @ (power_set @ X0)))),
% 74.09/11.17 inference('sup+', [status(thm)], [zip_derived_cl673, zip_derived_cl677])).
% 74.09/11.17 thf(zip_derived_cl1053, plain,
% 74.09/11.17 (![X0 : $i]: (member @ X0 @ (power_set @ X0))),
% 74.09/11.17 inference('simplify', [status(thm)], [zip_derived_cl1052])).
% 74.09/11.17 thf(zip_derived_cl1387, plain,
% 74.09/11.17 ( (apply @ subset_predicate @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate))),
% 74.09/11.17 inference('demod', [status(thm)],
% 74.09/11.17 [zip_derived_cl1386, zip_derived_cl1053])).
% 74.09/11.17 thf(zip_derived_cl102, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (subset @ X0 @ X1) | ~ (apply @ subset_predicate @ X0 @ X1))),
% 74.09/11.17 inference('cnf', [status(esa)], [rel_subset])).
% 74.09/11.17 thf(zip_derived_cl0, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.09/11.17 (~ (member @ X0 @ X1) | (member @ X0 @ X2) | ~ (subset @ X1 @ X2))),
% 74.09/11.17 inference('cnf', [status(esa)], [subset])).
% 74.09/11.17 thf(zip_derived_cl688, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.09/11.17 (~ (apply @ subset_predicate @ X1 @ X0)
% 74.09/11.17 | (member @ X2 @ X0)
% 74.09/11.17 | ~ (member @ X2 @ X1))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl102, zip_derived_cl0])).
% 74.09/11.17 thf(zip_derived_cl1390, plain,
% 74.09/11.17 (![X0 : $i]:
% 74.09/11.17 (~ (member @ X0 @ (sk__17 @ (power_set @ sk__20) @ subset_predicate))
% 74.09/11.17 | (member @ X0 @ (sk__18 @ (power_set @ sk__20) @ subset_predicate)))),
% 74.09/11.17 inference('sup-', [status(thm)], [zip_derived_cl1387, zip_derived_cl688])).
% 74.09/11.17 thf(zip_derived_cl683, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 (~ (member @ X1 @ (power_set @ X0))
% 74.09/11.17 | (apply @ subset_predicate @ X1 @ X0))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl6, zip_derived_cl103])).
% 74.09/11.17 thf(zip_derived_cl651, plain,
% 74.09/11.17 ((~ (zip_tseitin_16 @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (power_set @ sk__20) @ subset_predicate)
% 74.09/11.17 | ~ (zip_tseitin_15 @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 subset_predicate))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl101, zip_derived_cl104])).
% 74.09/11.17 thf(zip_derived_cl92, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 74.09/11.17 ( (zip_tseitin_15 @ X0 @ X1 @ X2 @ X3) | ~ (apply @ X3 @ X2 @ X0))),
% 74.09/11.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 74.09/11.17 thf(zip_derived_cl1154, plain,
% 74.09/11.17 ((~ (zip_tseitin_16 @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (power_set @ sk__20) @ subset_predicate)
% 74.09/11.17 | ~ (apply @ subset_predicate @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate)))),
% 74.09/11.17 inference('sup+', [status(thm)], [zip_derived_cl651, zip_derived_cl92])).
% 74.09/11.17 thf(zip_derived_cl96, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.09/11.17 ( (zip_tseitin_16 @ X0 @ X1 @ X2) | ~ (apply @ X2 @ X0 @ X0))),
% 74.09/11.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 74.09/11.17 thf(zip_derived_cl1198, plain,
% 74.09/11.17 ((~ (apply @ subset_predicate @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate))
% 74.09/11.17 | ~ (apply @ subset_predicate @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate)))),
% 74.09/11.17 inference('sup+', [status(thm)], [zip_derived_cl1154, zip_derived_cl96])).
% 74.09/11.17 thf(zip_derived_cl1210, plain,
% 74.09/11.17 ((~ (member @ (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (power_set @ (sk__19 @ (power_set @ sk__20) @ subset_predicate)))
% 74.09/11.17 | ~ (apply @ subset_predicate @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate)))),
% 74.09/11.17 inference('sup-', [status(thm)], [zip_derived_cl683, zip_derived_cl1198])).
% 74.09/11.17 thf(zip_derived_cl1053, plain,
% 74.09/11.17 (![X0 : $i]: (member @ X0 @ (power_set @ X0))),
% 74.09/11.17 inference('simplify', [status(thm)], [zip_derived_cl1052])).
% 74.09/11.17 thf(zip_derived_cl1211, plain,
% 74.09/11.17 (~ (apply @ subset_predicate @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate))),
% 74.09/11.17 inference('demod', [status(thm)],
% 74.09/11.17 [zip_derived_cl1210, zip_derived_cl1053])).
% 74.09/11.17 thf(zip_derived_cl1, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (subset @ X0 @ X1) | ~ (member @ (sk_ @ X1 @ X0) @ X1))),
% 74.09/11.17 inference('cnf', [status(esa)], [subset])).
% 74.09/11.17 thf(zip_derived_cl103, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (apply @ subset_predicate @ X0 @ X1) | ~ (subset @ X0 @ X1))),
% 74.09/11.17 inference('cnf', [status(esa)], [rel_subset])).
% 74.09/11.17 thf(zip_derived_cl675, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 (~ (member @ (sk_ @ X0 @ X1) @ X0)
% 74.09/11.17 | (apply @ subset_predicate @ X1 @ X0))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl1, zip_derived_cl103])).
% 74.09/11.17 thf(zip_derived_cl1213, plain,
% 74.09/11.17 (~ (member @
% 74.09/11.17 (sk_ @ (sk__18 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate)) @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate))),
% 74.09/11.17 inference('sup+', [status(thm)], [zip_derived_cl1211, zip_derived_cl675])).
% 74.09/11.17 thf(zip_derived_cl1406, plain,
% 74.09/11.17 (~ (member @
% 74.09/11.17 (sk_ @ (sk__18 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate)) @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate))),
% 74.09/11.17 inference('sup-', [status(thm)], [zip_derived_cl1390, zip_derived_cl1213])).
% 74.09/11.17 thf(zip_derived_cl683, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 (~ (member @ X1 @ (power_set @ X0))
% 74.09/11.17 | (apply @ subset_predicate @ X1 @ X0))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl6, zip_derived_cl103])).
% 74.09/11.17 thf(zip_derived_cl651, plain,
% 74.09/11.17 ((~ (zip_tseitin_16 @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (power_set @ sk__20) @ subset_predicate)
% 74.09/11.17 | ~ (zip_tseitin_15 @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 subset_predicate))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl101, zip_derived_cl104])).
% 74.09/11.17 thf(zip_derived_cl94, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 74.09/11.17 ( (zip_tseitin_15 @ X0 @ X1 @ X2 @ X3) | (apply @ X3 @ X2 @ X1))),
% 74.09/11.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 74.09/11.17 thf(zip_derived_cl1156, plain,
% 74.09/11.17 ((~ (zip_tseitin_16 @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (power_set @ sk__20) @ subset_predicate)
% 74.09/11.17 | (apply @ subset_predicate @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate)))),
% 74.09/11.17 inference('sup+', [status(thm)], [zip_derived_cl651, zip_derived_cl94])).
% 74.09/11.17 thf(zip_derived_cl96, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.09/11.17 ( (zip_tseitin_16 @ X0 @ X1 @ X2) | ~ (apply @ X2 @ X0 @ X0))),
% 74.09/11.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 74.09/11.17 thf(zip_derived_cl1352, plain,
% 74.09/11.17 (( (apply @ subset_predicate @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate))
% 74.09/11.17 | ~ (apply @ subset_predicate @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__19 @ (power_set @ sk__20) @ subset_predicate)))),
% 74.09/11.17 inference('sup+', [status(thm)], [zip_derived_cl1156, zip_derived_cl96])).
% 74.09/11.17 thf(zip_derived_cl66555, plain,
% 74.09/11.17 ((~ (member @ (sk__19 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (power_set @ (sk__19 @ (power_set @ sk__20) @ subset_predicate)))
% 74.09/11.17 | (apply @ subset_predicate @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate)))),
% 74.09/11.17 inference('sup-', [status(thm)], [zip_derived_cl683, zip_derived_cl1352])).
% 74.09/11.17 thf(zip_derived_cl1053, plain,
% 74.09/11.17 (![X0 : $i]: (member @ X0 @ (power_set @ X0))),
% 74.09/11.17 inference('simplify', [status(thm)], [zip_derived_cl1052])).
% 74.09/11.17 thf(zip_derived_cl66556, plain,
% 74.09/11.17 ( (apply @ subset_predicate @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__17 @ (power_set @ sk__20) @ subset_predicate))),
% 74.09/11.17 inference('demod', [status(thm)],
% 74.09/11.17 [zip_derived_cl66555, zip_derived_cl1053])).
% 74.09/11.17 thf(zip_derived_cl688, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 74.09/11.17 (~ (apply @ subset_predicate @ X1 @ X0)
% 74.09/11.17 | (member @ X2 @ X0)
% 74.09/11.17 | ~ (member @ X2 @ X1))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl102, zip_derived_cl0])).
% 74.09/11.17 thf(zip_derived_cl66559, plain,
% 74.09/11.17 (![X0 : $i]:
% 74.09/11.17 (~ (member @ X0 @ (sk__16 @ (power_set @ sk__20) @ subset_predicate))
% 74.09/11.17 | (member @ X0 @ (sk__17 @ (power_set @ sk__20) @ subset_predicate)))),
% 74.09/11.17 inference('sup-', [status(thm)], [zip_derived_cl66556, zip_derived_cl688])).
% 74.09/11.17 thf(zip_derived_cl67196, plain,
% 74.09/11.17 (~ (member @
% 74.09/11.17 (sk_ @ (sk__18 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate)) @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate))),
% 74.09/11.17 inference('sup+', [status(thm)],
% 74.09/11.17 [zip_derived_cl1406, zip_derived_cl66559])).
% 74.09/11.17 thf(zip_derived_cl1211, plain,
% 74.09/11.17 (~ (apply @ subset_predicate @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__18 @ (power_set @ sk__20) @ subset_predicate))),
% 74.09/11.17 inference('demod', [status(thm)],
% 74.09/11.17 [zip_derived_cl1210, zip_derived_cl1053])).
% 74.09/11.17 thf(zip_derived_cl2, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (subset @ X0 @ X1) | (member @ (sk_ @ X1 @ X0) @ X0))),
% 74.09/11.17 inference('cnf', [status(esa)], [subset])).
% 74.09/11.17 thf(zip_derived_cl103, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (apply @ subset_predicate @ X0 @ X1) | ~ (subset @ X0 @ X1))),
% 74.09/11.17 inference('cnf', [status(esa)], [rel_subset])).
% 74.09/11.17 thf(zip_derived_cl679, plain,
% 74.09/11.17 (![X0 : $i, X1 : $i]:
% 74.09/11.17 ( (member @ (sk_ @ X0 @ X1) @ X1)
% 74.09/11.17 | (apply @ subset_predicate @ X1 @ X0))),
% 74.09/11.17 inference('dp-resolution', [status(thm)],
% 74.09/11.17 [zip_derived_cl2, zip_derived_cl103])).
% 74.09/11.17 thf(zip_derived_cl1214, plain,
% 74.09/11.17 ( (member @
% 74.09/11.17 (sk_ @ (sk__18 @ (power_set @ sk__20) @ subset_predicate) @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate)) @
% 74.09/11.17 (sk__16 @ (power_set @ sk__20) @ subset_predicate))),
% 74.09/11.17 inference('sup+', [status(thm)], [zip_derived_cl1211, zip_derived_cl679])).
% 74.09/11.17 thf(zip_derived_cl67203, plain, ($false),
% 74.09/11.17 inference('demod', [status(thm)],
% 74.09/11.17 [zip_derived_cl67196, zip_derived_cl1214])).
% 74.09/11.17
% 74.09/11.17 % SZS output end Refutation
% 74.09/11.17
% 74.09/11.17
% 74.09/11.17 % Terminating...
% 74.57/11.27 % Runner terminated.
% 74.57/11.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------