0.10/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.AbVCj2vfVM 0.10/0.31 % Computer : n020.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % DateTime : Thu Jul 2 08:08:17 EDT 2020 0.10/0.31 % CPUTime : 0.10/0.31 % Running portfolio for 120 s 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.31 % Number of cores: 8 0.16/0.32 % Python version: Python 3.6.8 0.16/0.32 % Running in FO mode 7.00/7.28 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 7.00/7.28 % Solved by: fo/fo7.sh 7.00/7.28 To remain in the chosen logic fragment, unification with booleans has been disabled. 7.00/7.28 % done 2397 iterations in 6.864s 7.00/7.28 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 7.00/7.28 % SZS output start Refutation 7.00/7.28 tff(prove_relset_1_13, conjecture, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (![C]: 7.00/7.28 (ilf_type(C,set_type) => 7.00/7.28 (![D]: 7.00/7.28 (ilf_type(D,set_type) => 7.00/7.28 (![E]: 7.00/7.28 (ilf_type(E,relation_type(B,D)) => 7.00/7.28 (subset(domain_of(E),C) => ilf_type(E,relation_type(C,D)))))))))))). 7.00/7.28 tff(zf_stmt_0, negated_conjecture, 7.00/7.28 (~ 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (![C]: 7.00/7.28 (ilf_type(C,set_type) => 7.00/7.28 (![D]: 7.00/7.28 (ilf_type(D,set_type) => 7.00/7.28 (![E]: 7.00/7.28 (ilf_type(E,relation_type(B,D)) => 7.00/7.28 (subset(domain_of(E),C) => ilf_type(E,relation_type(C,D))))))))))))). 7.00/7.28 tff('0', plain, ~ ilf_type(sk_E_1, relation_type(sk_C_4, sk_D_5)), 7.00/7.28 inference('cnf', [status(esa)], [zf_stmt_0])). 7.00/7.28 tff(p18, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (![C]: 7.00/7.28 (ilf_type(C,set_type) => 7.00/7.28 ((![D]: (ilf_type(D,set_type) => (member(D,B) => member(D,C)))) <=> 7.00/7.28 member(B,power_set(C)))))))). 7.00/7.28 tff('1', plain, 7.00/7.28 ![X45, X46]: 7.00/7.28 (~ ilf_type(X45, set_type) 7.00/7.28 | member(sk_D_4(X45, X46), X46) 7.00/7.28 | member(X46, power_set(X45)) 7.00/7.28 | ~ ilf_type(X46, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p18])). 7.00/7.28 tff(p26, axiom, (![B]: ilf_type(B,set_type))). 7.00/7.28 tff('2', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('3', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('4', plain, 7.00/7.28 ![X45, X46]: 7.00/7.28 ( member(sk_D_4(X45, X46), X46) | member(X46, power_set(X45))), 7.00/7.28 inference('demod', [status(thm)], ['1', '2', '3'])). 7.00/7.28 tff(p17, axiom, (![B]: (ilf_type(B,set_type) => subset(B,B)))). 7.00/7.28 tff('5', plain, ![X30]: ( subset(X30, X30) | ~ ilf_type(X30, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p17])). 7.00/7.28 tff('6', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('7', plain, ![X30]: subset(X30, X30), 7.00/7.28 inference('demod', [status(thm)], ['5', '6'])). 7.00/7.28 tff('8', plain, ilf_type(sk_E_1, relation_type(sk_B_1, sk_D_5)), 7.00/7.28 inference('cnf', [status(esa)], [zf_stmt_0])). 7.00/7.28 tff(p6, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (![C]: 7.00/7.28 (ilf_type(C,set_type) => 7.00/7.28 (![D]: 7.00/7.28 (ilf_type(D,relation_type(B,C)) => 7.00/7.28 (subset(domain_of(D),B) & subset(range_of(D),C))))))))). 7.00/7.28 tff('9', plain, 7.00/7.28 ![X0, X1, X2]: 7.00/7.28 (~ ilf_type(X0, set_type) 7.00/7.28 | subset(range_of(X1), X0) 7.00/7.28 | ~ ilf_type(X1, relation_type(X2, X0)) 7.00/7.28 | ~ ilf_type(X2, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p6])). 7.00/7.28 tff('10', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('11', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('12', plain, 7.00/7.28 ![X0, X1, X2]: 7.00/7.28 ( subset(range_of(X1), X0) | ~ ilf_type(X1, relation_type(X2, X0))), 7.00/7.28 inference('demod', [status(thm)], ['9', '10', '11'])). 7.00/7.28 tff('13', plain, subset(range_of(sk_E_1), sk_D_5), 7.00/7.28 inference('sup-', [status(thm)], ['8', '12'])). 7.00/7.28 tff(p3, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (![C]: 7.00/7.28 (ilf_type(C,set_type) => 7.00/7.28 (![D]: 7.00/7.28 (ilf_type(D,set_type) => 7.00/7.28 (![E]: 7.00/7.28 (ilf_type(E,set_type) => 7.00/7.28 ((subset(B,C) & subset(D,E)) => 7.00/7.28 subset(cross_product(B,D),cross_product(C,E)))))))))))). 7.00/7.28 tff('14', plain, 7.00/7.28 ![X8, X9, X10, X11]: 7.00/7.28 (~ ilf_type(X8, set_type) 7.00/7.28 | ~ ilf_type(X9, set_type) 7.00/7.28 | subset(cross_product(X10, X11), cross_product(X8, X9)) 7.00/7.28 | ~ subset(X11, X9) 7.00/7.28 | ~ subset(X10, X8) 7.00/7.28 | ~ ilf_type(X11, set_type) 7.00/7.28 | ~ ilf_type(X10, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p3])). 7.00/7.28 tff('15', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('16', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('17', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('18', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('19', plain, 7.00/7.28 ![X8, X9, X10, X11]: 7.00/7.28 ( subset(cross_product(X10, X11), cross_product(X8, X9)) 7.00/7.28 | ~ subset(X11, X9) 7.00/7.28 | ~ subset(X10, X8)), 7.00/7.28 inference('demod', [status(thm)], ['14', '15', '16', '17', '18'])). 7.00/7.28 tff('20', plain, 7.00/7.28 ![X0, X1]: 7.00/7.28 (~ subset(X1, X0) 7.00/7.28 | subset(cross_product(X1, range_of(sk_E_1)), 7.00/7.28 cross_product(X0, sk_D_5))), 7.00/7.28 inference('sup-', [status(thm)], ['13', '19'])). 7.00/7.28 tff('21', plain, 7.00/7.28 ![X0]: 7.00/7.28 subset(cross_product(X0, range_of(sk_E_1)), cross_product(X0, sk_D_5)), 7.00/7.28 inference('sup-', [status(thm)], ['7', '20'])). 7.00/7.28 tff('22', plain, subset(domain_of(sk_E_1), sk_C_4), 7.00/7.28 inference('cnf', [status(esa)], [zf_stmt_0])). 7.00/7.28 tff('23', plain, ![X30]: subset(X30, X30), 7.00/7.28 inference('demod', [status(thm)], ['5', '6'])). 7.00/7.28 tff('24', plain, 7.00/7.28 ![X8, X9, X10, X11]: 7.00/7.28 ( subset(cross_product(X10, X11), cross_product(X8, X9)) 7.00/7.28 | ~ subset(X11, X9) 7.00/7.28 | ~ subset(X10, X8)), 7.00/7.28 inference('demod', [status(thm)], ['14', '15', '16', '17', '18'])). 7.00/7.28 tff('25', plain, 7.00/7.28 ![X0, X1, X2]: 7.00/7.28 (~ subset(X2, X1) 7.00/7.28 | subset(cross_product(X2, X0), cross_product(X1, X0))), 7.00/7.28 inference('sup-', [status(thm)], ['23', '24'])). 7.00/7.28 tff('26', plain, 7.00/7.28 ![X0]: 7.00/7.28 subset(cross_product(domain_of(sk_E_1), X0), 7.00/7.28 cross_product(sk_C_4, X0)), 7.00/7.28 inference('sup-', [status(thm)], ['22', '25'])). 7.00/7.28 tff(p13, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (ilf_type(B,binary_relation_type) <=> 7.00/7.28 (relation_like(B) & ilf_type(B,set_type)))))). 7.00/7.28 tff('27', plain, 7.00/7.28 ![X17]: 7.00/7.28 (~ relation_like(X17) 7.00/7.28 | ~ ilf_type(X17, set_type) 7.00/7.28 | ilf_type(X17, binary_relation_type) 7.00/7.28 | ~ ilf_type(X17, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p13])). 7.00/7.28 tff('28', plain, 7.00/7.28 ![X17]: 7.00/7.28 ( ilf_type(X17, binary_relation_type) 7.00/7.28 | ~ ilf_type(X17, set_type) 7.00/7.28 | ~ relation_like(X17)), 7.00/7.28 inference('simplify', [status(thm)], ['27'])). 7.00/7.28 tff('29', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('30', plain, 7.00/7.28 ![X17]: ( ilf_type(X17, binary_relation_type) | ~ relation_like(X17)), 7.00/7.28 inference('demod', [status(thm)], ['28', '29'])). 7.00/7.28 tff(p2, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,binary_relation_type) => 7.00/7.28 subset(B,cross_product(domain_of(B),range_of(B)))))). 7.00/7.28 tff('31', plain, 7.00/7.28 ![X42]: 7.00/7.28 ( subset(X42, cross_product(domain_of(X42), range_of(X42))) 7.00/7.28 | ~ ilf_type(X42, binary_relation_type)), 7.00/7.28 inference('cnf', [status(esa)], [p2])). 7.00/7.28 tff('32', plain, 7.00/7.28 ![X0]: 7.00/7.28 (~ relation_like(X0) 7.00/7.28 | subset(X0, cross_product(domain_of(X0), range_of(X0)))), 7.00/7.28 inference('sup-', [status(thm)], ['30', '31'])). 7.00/7.28 tff(p1, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (![C]: 7.00/7.28 (ilf_type(C,set_type) => 7.00/7.28 (![D]: 7.00/7.28 (ilf_type(D,set_type) => 7.00/7.28 ((subset(B,C) & subset(C,D)) => subset(B,D))))))))). 7.00/7.28 tff('33', plain, 7.00/7.28 ![X22, X23, X24]: 7.00/7.28 (~ ilf_type(X22, set_type) 7.00/7.28 | ~ subset(X23, X22) 7.00/7.28 | ~ subset(X22, X24) 7.00/7.28 | subset(X23, X24) 7.00/7.28 | ~ ilf_type(X24, set_type) 7.00/7.28 | ~ ilf_type(X23, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p1])). 7.00/7.28 tff('34', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('35', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('36', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('37', plain, 7.00/7.28 ![X22, X23, X24]: 7.00/7.28 (~ subset(X23, X22) | ~ subset(X22, X24) | subset(X23, X24)), 7.00/7.28 inference('demod', [status(thm)], ['33', '34', '35', '36'])). 7.00/7.28 tff('38', plain, 7.00/7.28 ![X0, X1]: 7.00/7.28 (~ relation_like(X0) 7.00/7.28 | subset(X0, X1) 7.00/7.28 | ~ subset(cross_product(domain_of(X0), range_of(X0)), X1)), 7.00/7.28 inference('sup-', [status(thm)], ['32', '37'])). 7.00/7.28 tff('39', plain, 7.00/7.28 ( subset(sk_E_1, cross_product(sk_C_4, range_of(sk_E_1))) 7.00/7.28 | ~ relation_like(sk_E_1)), 7.00/7.28 inference('sup-', [status(thm)], ['26', '38'])). 7.00/7.28 tff('40', plain, ilf_type(sk_E_1, relation_type(sk_B_1, sk_D_5)), 7.00/7.28 inference('cnf', [status(esa)], [zf_stmt_0])). 7.00/7.28 tff(p4, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (![C]: 7.00/7.28 (ilf_type(C,set_type) => 7.00/7.28 ((![D]: 7.00/7.28 (ilf_type(D,subset_type(cross_product(B,C))) => 7.00/7.28 ilf_type(D,relation_type(B,C)))) & 7.00/7.28 (![E]: 7.00/7.28 (ilf_type(E,relation_type(B,C)) => 7.00/7.28 ilf_type(E,subset_type(cross_product(B,C))))))))))). 7.00/7.28 tff('41', plain, 7.00/7.28 ![X48, X49, X50]: 7.00/7.28 (~ ilf_type(X48, set_type) 7.00/7.28 | ~ ilf_type(X49, relation_type(X50, X48)) 7.00/7.28 | ilf_type(X49, subset_type(cross_product(X50, X48))) 7.00/7.28 | ~ ilf_type(X50, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p4])). 7.00/7.28 tff('42', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('43', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('44', plain, 7.00/7.28 ![X48, X49, X50]: 7.00/7.28 (~ ilf_type(X49, relation_type(X50, X48)) 7.00/7.28 | ilf_type(X49, subset_type(cross_product(X50, X48)))), 7.00/7.28 inference('demod', [status(thm)], ['41', '42', '43'])). 7.00/7.28 tff('45', plain, 7.00/7.28 ilf_type(sk_E_1, subset_type(cross_product(sk_B_1, sk_D_5))), 7.00/7.28 inference('sup-', [status(thm)], ['40', '44'])). 7.00/7.28 tff(p23, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (![C]: 7.00/7.28 (ilf_type(C,set_type) => 7.00/7.28 (![D]: 7.00/7.28 (ilf_type(D,subset_type(cross_product(B,C))) => relation_like(D)))))))). 7.00/7.28 tff('46', plain, 7.00/7.28 ![X37, X38, X39]: 7.00/7.28 (~ ilf_type(X37, set_type) 7.00/7.28 | relation_like(X38) 7.00/7.28 | ~ ilf_type(X38, subset_type(cross_product(X39, X37))) 7.00/7.28 | ~ ilf_type(X39, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p23])). 7.00/7.28 tff('47', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('48', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('49', plain, 7.00/7.28 ![X37, X38, X39]: 7.00/7.28 ( relation_like(X38) 7.00/7.28 | ~ ilf_type(X38, subset_type(cross_product(X39, X37)))), 7.00/7.28 inference('demod', [status(thm)], ['46', '47', '48'])). 7.00/7.28 tff('50', plain, relation_like(sk_E_1), 7.00/7.28 inference('sup-', [status(thm)], ['45', '49'])). 7.00/7.28 tff('51', plain, subset(sk_E_1, cross_product(sk_C_4, range_of(sk_E_1))), 7.00/7.28 inference('demod', [status(thm)], ['39', '50'])). 7.00/7.28 tff('52', plain, 7.00/7.28 ![X22, X23, X24]: 7.00/7.28 (~ subset(X23, X22) | ~ subset(X22, X24) | subset(X23, X24)), 7.00/7.28 inference('demod', [status(thm)], ['33', '34', '35', '36'])). 7.00/7.28 tff('53', plain, 7.00/7.28 ![X0]: 7.00/7.28 ( subset(sk_E_1, X0) 7.00/7.28 | ~ subset(cross_product(sk_C_4, range_of(sk_E_1)), X0)), 7.00/7.28 inference('sup-', [status(thm)], ['51', '52'])). 7.00/7.28 tff('54', plain, subset(sk_E_1, cross_product(sk_C_4, sk_D_5)), 7.00/7.28 inference('sup-', [status(thm)], ['21', '53'])). 7.00/7.28 tff(p9, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (![C]: 7.00/7.28 (ilf_type(C,set_type) => 7.00/7.28 ((![D]: (ilf_type(D,set_type) => (member(D,B) => member(D,C)))) <=> 7.00/7.28 subset(B,C))))))). 7.00/7.28 tff('55', plain, 7.00/7.28 ![X4, X5, X6]: 7.00/7.28 (~ ilf_type(X4, set_type) 7.00/7.28 | ~ subset(X5, X4) 7.00/7.28 | ~ member(X6, X5) 7.00/7.28 | member(X6, X4) 7.00/7.28 | ~ ilf_type(X6, set_type) 7.00/7.28 | ~ ilf_type(X5, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p9])). 7.00/7.28 tff('56', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('57', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('58', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('59', plain, 7.00/7.28 ![X4, X5, X6]: (~ subset(X5, X4) | ~ member(X6, X5) | member(X6, X4)), 7.00/7.28 inference('demod', [status(thm)], ['55', '56', '57', '58'])). 7.00/7.28 tff('60', plain, 7.00/7.28 ![X0]: 7.00/7.28 ( member(X0, cross_product(sk_C_4, sk_D_5)) | ~ member(X0, sk_E_1)), 7.00/7.28 inference('sup-', [status(thm)], ['54', '59'])). 7.00/7.28 tff('61', plain, 7.00/7.28 ![X0]: 7.00/7.28 ( member(sk_E_1, power_set(X0)) 7.00/7.28 | member(sk_D_4(X0, sk_E_1), cross_product(sk_C_4, sk_D_5))), 7.00/7.28 inference('sup-', [status(thm)], ['4', '60'])). 7.00/7.28 tff('62', plain, 7.00/7.28 ![X45, X46]: 7.00/7.28 (~ ilf_type(X45, set_type) 7.00/7.28 | ~ member(sk_D_4(X45, X46), X45) 7.00/7.28 | member(X46, power_set(X45)) 7.00/7.28 | ~ ilf_type(X46, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p18])). 7.00/7.28 tff('63', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('64', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('65', plain, 7.00/7.28 ![X45, X46]: 7.00/7.28 (~ member(sk_D_4(X45, X46), X45) | member(X46, power_set(X45))), 7.00/7.28 inference('demod', [status(thm)], ['62', '63', '64'])). 7.00/7.28 tff('66', plain, 7.00/7.28 ( member(sk_E_1, power_set(cross_product(sk_C_4, sk_D_5))) 7.00/7.28 | member(sk_E_1, power_set(cross_product(sk_C_4, sk_D_5)))), 7.00/7.28 inference('sup-', [status(thm)], ['61', '65'])). 7.00/7.28 tff('67', plain, member(sk_E_1, power_set(cross_product(sk_C_4, sk_D_5))), 7.00/7.28 inference('simplify', [status(thm)], ['66'])). 7.00/7.28 tff(p20, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (![C]: 7.00/7.28 ((ilf_type(C,set_type) & (~empty(C))) => 7.00/7.28 (member(B,C) <=> ilf_type(B,member_type(C)))))))). 7.00/7.28 tff('68', plain, 7.00/7.28 ![X13, X14]: 7.00/7.28 (~ ilf_type(X13, set_type) 7.00/7.28 | empty(X13) 7.00/7.28 | ~ member(X14, X13) 7.00/7.28 | ilf_type(X14, member_type(X13)) 7.00/7.28 | ~ ilf_type(X14, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p20])). 7.00/7.28 tff('69', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('70', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('71', plain, 7.00/7.28 ![X13, X14]: 7.00/7.28 ( empty(X13) | ~ member(X14, X13) | ilf_type(X14, member_type(X13))), 7.00/7.28 inference('demod', [status(thm)], ['68', '69', '70'])). 7.00/7.28 tff(p24, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 ((![C]: (ilf_type(C,set_type) => (~member(C,B)))) <=> empty(B))))). 7.00/7.28 tff('72', plain, 7.00/7.28 ![X15, X16]: 7.00/7.28 (~ empty(X15) 7.00/7.28 | ~ member(X16, X15) 7.00/7.28 | ~ ilf_type(X16, set_type) 7.00/7.28 | ~ ilf_type(X15, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p24])). 7.00/7.28 tff('73', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('74', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('75', plain, ![X15, X16]: (~ empty(X15) | ~ member(X16, X15)), 7.00/7.28 inference('demod', [status(thm)], ['72', '73', '74'])). 7.00/7.28 tff('76', plain, 7.00/7.28 ![X13, X14]: ( ilf_type(X14, member_type(X13)) | ~ member(X14, X13)), 7.00/7.28 inference('clc', [status(thm)], ['71', '75'])). 7.00/7.28 tff('77', plain, 7.00/7.28 ilf_type(sk_E_1, member_type(power_set(cross_product(sk_C_4, sk_D_5)))), 7.00/7.28 inference('sup-', [status(thm)], ['67', '76'])). 7.00/7.28 tff(p15, axiom, 7.00/7.28 (![B]: 7.00/7.28 (ilf_type(B,set_type) => 7.00/7.28 (![C]: 7.00/7.28 (ilf_type(C,set_type) => 7.00/7.28 (ilf_type(C,subset_type(B)) <=> 7.00/7.28 ilf_type(C,member_type(power_set(B))))))))). 7.00/7.28 tff('78', plain, 7.00/7.28 ![X40, X41]: 7.00/7.28 (~ ilf_type(X40, set_type) 7.00/7.28 | ~ ilf_type(X40, member_type(power_set(X41))) 7.00/7.28 | ilf_type(X40, subset_type(X41)) 7.00/7.28 | ~ ilf_type(X41, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p15])). 7.00/7.28 tff('79', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('80', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('81', plain, 7.00/7.28 ![X40, X41]: 7.00/7.28 (~ ilf_type(X40, member_type(power_set(X41))) 7.00/7.28 | ilf_type(X40, subset_type(X41))), 7.00/7.28 inference('demod', [status(thm)], ['78', '79', '80'])). 7.00/7.28 tff('82', plain, 7.00/7.28 ilf_type(sk_E_1, subset_type(cross_product(sk_C_4, sk_D_5))), 7.00/7.28 inference('sup-', [status(thm)], ['77', '81'])). 7.00/7.28 tff('83', plain, 7.00/7.28 ![X48, X50, X51]: 7.00/7.28 (~ ilf_type(X48, set_type) 7.00/7.28 | ~ ilf_type(X51, subset_type(cross_product(X50, X48))) 7.00/7.28 | ilf_type(X51, relation_type(X50, X48)) 7.00/7.28 | ~ ilf_type(X50, set_type)), 7.00/7.28 inference('cnf', [status(esa)], [p4])). 7.00/7.28 tff('84', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('85', plain, ![X25]: ilf_type(X25, set_type), 7.00/7.28 inference('cnf', [status(esa)], [p26])). 7.00/7.28 tff('86', plain, 7.00/7.28 ![X48, X50, X51]: 7.00/7.28 (~ ilf_type(X51, subset_type(cross_product(X50, X48))) 7.00/7.28 | ilf_type(X51, relation_type(X50, X48))), 7.00/7.28 inference('demod', [status(thm)], ['83', '84', '85'])). 7.00/7.28 tff('87', plain, ilf_type(sk_E_1, relation_type(sk_C_4, sk_D_5)), 7.00/7.28 inference('sup-', [status(thm)], ['82', '86'])). 7.00/7.28 tff('88', plain, $false, inference('demod', [status(thm)], ['0', '87'])). 7.00/7.28 7.00/7.28 % SZS output end Refutation 7.00/7.28 7.00/7.29 % Zipperpin 1.5 exiting 7.00/7.29 EOF