0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.2qo117VSDa 0.14/0.35 % Computer : n026.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 : 960 0.14/0.35 % DateTime : Thu Jul 2 08:35:10 EDT 2020 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 120 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 0.14/0.36 % Running in FO mode 1.26/1.46 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 1.26/1.46 % Solved by: fo/fo7.sh 1.26/1.46 To remain in the chosen logic fragment, unification with booleans has been disabled. 1.26/1.46 % done 1011 iterations in 0.996s 1.26/1.46 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 1.26/1.46 % SZS output start Refutation 1.26/1.46 tff(axiom_1, axiom, 1.26/1.46 (?[Y24]: (![X19]: ((r1(X19) & (Y24 = X19)) | ((Y24 != X19) & (~r1(X19))))))). 1.26/1.46 tff(zf_stmt_0, type, zip_tseitin_7 : ($i * $i) > $o). 1.26/1.46 tff(zf_stmt_1, axiom, 1.26/1.46 (zip_tseitin_7(X19,Y24) => ((~r1(X19)) & (Y24 != X19)))). 1.26/1.46 tff(zf_stmt_2, type, zip_tseitin_6 : ($i * $i) > $o). 1.26/1.46 tff(zf_stmt_3, axiom, (zip_tseitin_6(X19,Y24) => ((Y24 = X19) & r1(X19)))). 1.26/1.46 tff(zf_stmt_4, axiom, 1.26/1.46 (?[Y24]: (![X19]: (zip_tseitin_7(X19,Y24) | zip_tseitin_6(X19,Y24))))). 1.26/1.46 tff('0', plain, 1.26/1.46 ![X21]: ( zip_tseitin_7(X21, sk_Y24) | zip_tseitin_6(X21, sk_Y24)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_4])). 1.26/1.46 tff('1', plain, ![X19, X20]: (X20 != X19 | ~ zip_tseitin_7(X19, X20)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_1])). 1.26/1.46 tff('2', plain, ![X19]: ~ zip_tseitin_7(X19, X19), 1.26/1.46 inference('simplify', [status(thm)], ['1'])). 1.26/1.46 tff('3', plain, zip_tseitin_6(sk_Y24, sk_Y24), 1.26/1.46 inference('sup-', [status(thm)], ['0', '2'])). 1.26/1.46 tff('4', plain, ![X19, X20]: ( r1(X19) | ~ zip_tseitin_6(X19, X20)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_3])). 1.26/1.46 tff('5', plain, r1(sk_Y24), inference('sup-', [status(thm)], ['3', '4'])). 1.26/1.46 tff(axiom_2, axiom, 1.26/1.46 (![X11]: 1.26/1.46 (?[Y21]: 1.26/1.46 (![X12]: 1.26/1.46 (((X12 = Y21) & r2(X11,X12)) | ((~r2(X11,X12)) & (X12 != Y21))))))). 1.26/1.46 tff(zf_stmt_5, type, zip_tseitin_5 : ($i * $i * $i) > $o). 1.26/1.46 tff(zf_stmt_6, axiom, 1.26/1.46 (zip_tseitin_5(X12,Y21,X11) => ((X12 != Y21) & (~r2(X11,X12))))). 1.26/1.46 tff(zf_stmt_7, type, zip_tseitin_4 : ($i * $i * $i) > $o). 1.26/1.46 tff(zf_stmt_8, axiom, 1.26/1.46 (zip_tseitin_4(X12,Y21,X11) => (r2(X11,X12) & (X12 = Y21)))). 1.26/1.46 tff(zf_stmt_9, axiom, 1.26/1.46 (![X11]: 1.26/1.46 (?[Y21]: 1.26/1.46 (![X12]: (zip_tseitin_5(X12,Y21,X11) | zip_tseitin_4(X12,Y21,X11)))))). 1.26/1.46 tff('6', plain, 1.26/1.46 ![X15, X16]: 1.26/1.46 ( zip_tseitin_5(X15, sk_Y21(X16), X16) 1.26/1.46 | zip_tseitin_4(X15, sk_Y21(X16), X16)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_9])). 1.26/1.46 tff('7', plain, 1.26/1.46 ![X12, X13, X14]: (X13 != X14 | ~ zip_tseitin_5(X13, X14, X12)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_6])). 1.26/1.46 tff('8', plain, ![X12, X14]: ~ zip_tseitin_5(X14, X14, X12), 1.26/1.46 inference('simplify', [status(thm)], ['7'])). 1.26/1.46 tff('9', plain, ![X0]: zip_tseitin_4(sk_Y21(X0), sk_Y21(X0), X0), 1.26/1.46 inference('sup-', [status(thm)], ['6', '8'])). 1.26/1.46 tff('10', plain, 1.26/1.46 ![X12, X13, X14]: ( r2(X12, X13) | ~ zip_tseitin_4(X13, X14, X12)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_8])). 1.26/1.46 tff('11', plain, ![X0]: r2(X0, sk_Y21(X0)), 1.26/1.46 inference('sup-', [status(thm)], ['9', '10'])). 1.26/1.46 tff('12', plain, ![X0]: r2(X0, sk_Y21(X0)), 1.26/1.46 inference('sup-', [status(thm)], ['9', '10'])). 1.26/1.46 tff(axiom_1a, axiom, 1.26/1.46 (![X1,X8]: 1.26/1.46 (?[Y4]: 1.26/1.46 ((?[Y7]: (r2(Y7,Y4) & r3(X1,X8,Y7))) & 1.26/1.46 (?[Y5]: ((Y4 = Y5) & (?[Y15]: (r2(X8,Y15) & r3(X1,Y15,Y5))))))))). 1.26/1.46 tff('13', plain, ![X33, X34]: r2(X33, sk_Y15(X33, X34)), 1.26/1.46 inference('cnf', [status(esa)], [axiom_1a])). 1.26/1.46 tff(axiom_4a, axiom, 1.26/1.46 (![X4]: (?[Y9]: ((?[Y16]: (r1(Y16) & r3(X4,Y16,Y9))) & (X4 = Y9))))). 1.26/1.46 tff('14', plain, ![X39]: r3(X39, sk_Y16(X39), sk_Y9(X39)), 1.26/1.46 inference('cnf', [status(esa)], [axiom_4a])). 1.26/1.46 tff('15', plain, ![X39]: X39 = sk_Y9(X39), 1.26/1.46 inference('cnf', [status(esa)], [axiom_4a])). 1.26/1.46 tff('16', plain, ![X39]: r3(X39, sk_Y16(X39), X39), 1.26/1.46 inference('demod', [status(thm)], ['14', '15'])). 1.26/1.46 tff('17', plain, ![X39]: r1(sk_Y16(X39)), 1.26/1.46 inference('cnf', [status(esa)], [axiom_4a])). 1.26/1.46 tff('18', plain, 1.26/1.46 ![X21]: ( zip_tseitin_7(X21, sk_Y24) | zip_tseitin_6(X21, sk_Y24)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_4])). 1.26/1.46 tff('19', plain, ![X19, X20]: (~ r1(X19) | ~ zip_tseitin_7(X19, X20)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_1])). 1.26/1.46 tff('20', plain, ![X0]: ( zip_tseitin_6(X0, sk_Y24) | ~ r1(X0)), 1.26/1.46 inference('sup-', [status(thm)], ['18', '19'])). 1.26/1.46 tff('21', plain, ![X19, X20]: (X20 = X19 | ~ zip_tseitin_6(X19, X20)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_3])). 1.26/1.46 tff('22', plain, ![X0]: (~ r1(X0) | sk_Y24 = X0), 1.26/1.46 inference('sup-', [status(thm)], ['20', '21'])). 1.26/1.46 tff('23', plain, ![X0]: sk_Y24 = sk_Y16(X0), 1.26/1.46 inference('sup-', [status(thm)], ['17', '22'])). 1.26/1.46 tff('24', plain, ![X39]: r3(X39, sk_Y24, X39), 1.26/1.46 inference('demod', [status(thm)], ['16', '23'])). 1.26/1.46 tff(axiom_3, axiom, 1.26/1.46 (![X13,X14]: 1.26/1.46 (?[Y22]: 1.26/1.46 (![X15]: 1.26/1.46 (((~r3(X13,X14,X15)) & (X15 != Y22)) | 1.26/1.46 (r3(X13,X14,X15) & (Y22 = X15))))))). 1.26/1.46 tff(zf_stmt_10, type, zip_tseitin_9 : ($i * $i * $i * $i) > $o). 1.26/1.46 tff(zf_stmt_11, axiom, 1.26/1.46 (zip_tseitin_9(X15,Y22,X14,X13) => ((Y22 = X15) & r3(X13,X14,X15)))). 1.26/1.46 tff(zf_stmt_12, type, zip_tseitin_8 : ($i * $i * $i * $i) > $o). 1.26/1.46 tff(zf_stmt_13, axiom, 1.26/1.46 (zip_tseitin_8(X15,Y22,X14,X13) => ((X15 != Y22) & (~r3(X13,X14,X15))))). 1.26/1.46 tff(zf_stmt_14, axiom, 1.26/1.46 (![X13,X14]: 1.26/1.46 (?[Y22]: 1.26/1.46 (![X15]: 1.26/1.46 (zip_tseitin_9(X15,Y22,X14,X13) | zip_tseitin_8(X15,Y22,X14,X13)))))). 1.26/1.46 tff('25', plain, 1.26/1.46 ![X27, X28, X29]: 1.26/1.46 ( zip_tseitin_9(X27, sk_Y22(X28, X29), X28, X29) 1.26/1.46 | zip_tseitin_8(X27, sk_Y22(X28, X29), X28, X29)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_14])). 1.26/1.46 tff('26', plain, 1.26/1.46 ![X23, X24, X25, X26]: (X23 = X24 | ~ zip_tseitin_9(X24, X23, X25, X26)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_11])). 1.26/1.46 tff('27', plain, 1.26/1.46 ![X0, X1, X2]: 1.26/1.46 ( zip_tseitin_8(X2, sk_Y22(X1, X0), X1, X0) | sk_Y22(X1, X0) = X2), 1.26/1.46 inference('sup-', [status(thm)], ['25', '26'])). 1.26/1.46 tff('28', plain, 1.26/1.46 ![X23, X24, X25, X26]: 1.26/1.46 (~ r3(X26, X25, X24) | ~ zip_tseitin_8(X24, X23, X25, X26)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_13])). 1.26/1.46 tff('29', plain, ![X0, X1, X2]: (sk_Y22(X1, X0) = X2 | ~ r3(X0, X1, X2)), 1.26/1.46 inference('sup-', [status(thm)], ['27', '28'])). 1.26/1.46 tff('30', plain, ![X0]: sk_Y22(sk_Y24, X0) = X0, 1.26/1.46 inference('sup-', [status(thm)], ['24', '29'])). 1.26/1.46 tff('31', plain, ![X33, X34]: r2(sk_Y7(X33, X34), sk_Y4(X33, X34)), 1.26/1.46 inference('cnf', [status(esa)], [axiom_1a])). 1.26/1.46 tff('32', plain, ![X33, X34]: r3(X34, X33, sk_Y7(X33, X34)), 1.26/1.46 inference('cnf', [status(esa)], [axiom_1a])). 1.26/1.46 tff('33', plain, ![X0, X1, X2]: (sk_Y22(X1, X0) = X2 | ~ r3(X0, X1, X2)), 1.26/1.46 inference('sup-', [status(thm)], ['27', '28'])). 1.26/1.46 tff('34', plain, ![X0, X1]: sk_Y22(X1, X0) = sk_Y7(X1, X0), 1.26/1.46 inference('sup-', [status(thm)], ['32', '33'])). 1.26/1.46 tff('35', plain, ![X33, X34]: r2(sk_Y22(X33, X34), sk_Y4(X33, X34)), 1.26/1.46 inference('demod', [status(thm)], ['31', '34'])). 1.26/1.46 tff('36', plain, ![X33, X34]: r3(X34, sk_Y15(X33, X34), sk_Y5(X33, X34)), 1.26/1.46 inference('cnf', [status(esa)], [axiom_1a])). 1.26/1.46 tff('37', plain, ![X33, X34]: sk_Y4(X33, X34) = sk_Y5(X33, X34), 1.26/1.46 inference('cnf', [status(esa)], [axiom_1a])). 1.26/1.46 tff('38', plain, ![X33, X34]: r3(X34, sk_Y15(X33, X34), sk_Y4(X33, X34)), 1.26/1.46 inference('demod', [status(thm)], ['36', '37'])). 1.26/1.46 tff('39', plain, ![X0, X1, X2]: (sk_Y22(X1, X0) = X2 | ~ r3(X0, X1, X2)), 1.26/1.46 inference('sup-', [status(thm)], ['27', '28'])). 1.26/1.46 tff('40', plain, ![X0, X1]: sk_Y22(sk_Y15(X1, X0), X0) = sk_Y4(X1, X0), 1.26/1.46 inference('sup-', [status(thm)], ['38', '39'])). 1.26/1.46 tff('41', plain, ![X33, X34]: r2(X33, sk_Y15(X33, X34)), 1.26/1.46 inference('cnf', [status(esa)], [axiom_1a])). 1.26/1.46 tff('42', plain, ![X33, X34]: r2(sk_Y7(X33, X34), sk_Y4(X33, X34)), 1.26/1.46 inference('cnf', [status(esa)], [axiom_1a])). 1.26/1.46 tff('43', plain, ![X33, X34]: r3(X34, sk_Y15(X33, X34), sk_Y4(X33, X34)), 1.26/1.46 inference('demod', [status(thm)], ['36', '37'])). 1.26/1.46 tff(oneplustwoeqthree, conjecture, 1.26/1.46 (?[Y1]: 1.26/1.46 ((?[Y2]: 1.26/1.46 ((?[Y3]: 1.26/1.46 (r2(Y3,Y2) & 1.26/1.46 (?[Y5]: (r2(Y5,Y3) & (?[Y8]: (r1(Y8) & r2(Y8,Y5))))))) & 1.26/1.46 (Y2 = Y1))) & 1.26/1.46 (?[Y4]: 1.26/1.46 ((?[Y6]: ((?[Y9]: (r2(Y9,Y6) & r1(Y9))) & r3(Y6,Y4,Y1))) & 1.26/1.46 (?[Y7]: (r2(Y7,Y4) & (?[Y10]: (r2(Y10,Y7) & r1(Y10)))))))))). 1.26/1.46 tff(zf_stmt_15, negated_conjecture, 1.26/1.46 (~ 1.26/1.46 (?[Y1]: 1.26/1.46 ((?[Y2]: 1.26/1.46 ((?[Y3]: 1.26/1.46 (r2(Y3,Y2) & 1.26/1.46 (?[Y5]: (r2(Y5,Y3) & (?[Y8]: (r1(Y8) & r2(Y8,Y5))))))) & 1.26/1.46 (Y2 = Y1))) & 1.26/1.46 (?[Y4]: 1.26/1.46 ((?[Y6]: ((?[Y9]: (r2(Y9,Y6) & r1(Y9))) & r3(Y6,Y4,Y1))) & 1.26/1.46 (?[Y7]: (r2(Y7,Y4) & (?[Y10]: (r2(Y10,Y7) & r1(Y10))))))))))). 1.26/1.46 tff('44', plain, 1.26/1.46 ![X40, X41, X42, X43, X44, X45, X46, X47, X48, X49]: 1.26/1.46 (X41 != X40 1.26/1.46 | ~ r2(X42, X41) 1.26/1.46 | ~ r1(X43) 1.26/1.46 | ~ r2(X43, X44) 1.26/1.46 | ~ r2(X44, X42) 1.26/1.46 | ~ r2(X45, X46) 1.26/1.46 | ~ r1(X47) 1.26/1.46 | ~ r2(X47, X45) 1.26/1.46 | ~ r1(X48) 1.26/1.46 | ~ r2(X48, X49) 1.26/1.46 | ~ r3(X49, X46, X40)), 1.26/1.46 inference('cnf', [status(esa)], [zf_stmt_15])). 1.26/1.46 tff('45', plain, 1.26/1.46 ![X40, X42, X43, X44, X45, X46, X47, X48, X49]: 1.26/1.46 (~ r3(X49, X46, X40) 1.26/1.46 | ~ r2(X48, X49) 1.26/1.46 | ~ r1(X48) 1.26/1.46 | ~ r2(X47, X45) 1.26/1.46 | ~ r1(X47) 1.26/1.46 | ~ r2(X45, X46) 1.26/1.46 | ~ r2(X44, X42) 1.26/1.46 | ~ r2(X43, X44) 1.26/1.46 | ~ r1(X43) 1.26/1.46 | ~ r2(X42, X40)), 1.26/1.46 inference('simplify', [status(thm)], ['44'])). 1.26/1.46 tff('46', plain, 1.26/1.46 ![X0, X1, X2, X3, X4, X5, X6, X7]: 1.26/1.46 (~ r2(X2, sk_Y4(X1, X0)) 1.26/1.46 | ~ r1(X3) 1.26/1.46 | ~ r2(X3, X4) 1.26/1.46 | ~ r2(X4, X2) 1.26/1.46 | ~ r2(X5, sk_Y15(X1, X0)) 1.26/1.46 | ~ r1(X6) 1.26/1.46 | ~ r2(X6, X5) 1.26/1.46 | ~ r1(X7) 1.26/1.46 | ~ r2(X7, X0)), 1.26/1.46 inference('sup-', [status(thm)], ['43', '45'])). 1.26/1.46 tff('47', plain, 1.26/1.46 ![X0, X1, X2, X3, X4, X5, X6]: 1.26/1.46 (~ r2(X2, X0) 1.26/1.46 | ~ r1(X2) 1.26/1.46 | ~ r2(X4, X3) 1.26/1.46 | ~ r1(X4) 1.26/1.46 | ~ r2(X3, sk_Y15(X1, X0)) 1.26/1.46 | ~ r2(X5, sk_Y7(X1, X0)) 1.26/1.46 | ~ r2(X6, X5) 1.26/1.46 | ~ r1(X6)), 1.26/1.46 inference('sup-', [status(thm)], ['42', '46'])). 1.26/1.46 tff('48', plain, 1.26/1.46 ![X0, X1, X2, X3, X4, X5]: 1.26/1.46 (~ r1(X2) 1.26/1.46 | ~ r2(X2, X3) 1.26/1.46 | ~ r2(X3, sk_Y7(X1, X0)) 1.26/1.46 | ~ r1(X4) 1.26/1.46 | ~ r2(X4, X1) 1.26/1.46 | ~ r1(X5) 1.26/1.46 | ~ r2(X5, X0)), 1.26/1.46 inference('sup-', [status(thm)], ['41', '47'])). 1.26/1.46 tff('49', plain, ![X0, X1]: sk_Y22(X1, X0) = sk_Y7(X1, X0), 1.26/1.46 inference('sup-', [status(thm)], ['32', '33'])). 1.26/1.46 tff('50', plain, 1.26/1.46 ![X0, X1, X2, X3, X4, X5]: 1.26/1.46 (~ r1(X2) 1.26/1.46 | ~ r2(X2, X3) 1.26/1.46 | ~ r2(X3, sk_Y22(X1, X0)) 1.26/1.46 | ~ r1(X4) 1.26/1.46 | ~ r2(X4, X1) 1.26/1.46 | ~ r1(X5) 1.26/1.46 | ~ r2(X5, X0)), 1.26/1.46 inference('demod', [status(thm)], ['48', '49'])). 1.26/1.46 tff('51', plain, 1.26/1.46 ![X0, X1, X2, X3, X4, X5]: 1.26/1.46 (~ r2(X2, sk_Y4(X1, X0)) 1.26/1.46 | ~ r2(X3, X0) 1.26/1.46 | ~ r1(X3) 1.26/1.46 | ~ r2(X4, sk_Y15(X1, X0)) 1.26/1.46 | ~ r1(X4) 1.26/1.46 | ~ r2(X5, X2) 1.26/1.46 | ~ r1(X5)), 1.26/1.46 inference('sup-', [status(thm)], ['40', '50'])). 1.26/1.46 tff('52', plain, 1.26/1.46 ![X0, X1, X2, X3, X4]: 1.26/1.46 (~ r1(X2) 1.26/1.46 | ~ r2(X2, sk_Y22(X1, X0)) 1.26/1.46 | ~ r1(X3) 1.26/1.46 | ~ r2(X3, sk_Y15(X1, X0)) 1.26/1.46 | ~ r1(X4) 1.26/1.46 | ~ r2(X4, X0)), 1.26/1.46 inference('sup-', [status(thm)], ['35', '51'])). 1.26/1.46 tff('53', plain, 1.26/1.46 ![X0, X1, X2, X3]: 1.26/1.46 (~ r2(X1, X0) 1.26/1.46 | ~ r2(X2, X0) 1.26/1.46 | ~ r1(X2) 1.26/1.46 | ~ r2(X3, sk_Y15(sk_Y24, X0)) 1.26/1.46 | ~ r1(X3) 1.26/1.46 | ~ r1(X1)), 1.26/1.46 inference('sup-', [status(thm)], ['30', '52'])). 1.26/1.46 tff('54', plain, 1.26/1.46 ![X0, X1, X2]: 1.26/1.46 (~ r1(X1) | ~ r1(sk_Y24) | ~ r1(X2) | ~ r2(X2, X0) | ~ r2(X1, X0)), 1.26/1.46 inference('sup-', [status(thm)], ['13', '53'])). 1.26/1.46 tff('55', plain, r1(sk_Y24), inference('sup-', [status(thm)], ['3', '4'])). 1.26/1.46 tff('56', plain, 1.26/1.46 ![X0, X1, X2]: (~ r1(X1) | ~ r1(X2) | ~ r2(X2, X0) | ~ r2(X1, X0)), 1.26/1.46 inference('demod', [status(thm)], ['54', '55'])). 1.26/1.46 tff('57', plain, ![X0, X1]: (~ r2(X1, sk_Y21(X0)) | ~ r1(X0) | ~ r1(X1)), 1.26/1.46 inference('sup-', [status(thm)], ['12', '56'])). 1.26/1.46 tff('58', plain, ![X0]: (~ r1(X0) | ~ r1(X0)), 1.26/1.46 inference('sup-', [status(thm)], ['11', '57'])). 1.26/1.46 tff('59', plain, ![X0]: ~ r1(X0), 1.26/1.46 inference('simplify', [status(thm)], ['58'])). 1.26/1.46 tff('60', plain, $false, inference('sup-', [status(thm)], ['5', '59'])). 1.26/1.46 1.26/1.46 % SZS output end Refutation 1.26/1.46 1.31/1.47 % Zipperpin 1.5 exiting 1.31/1.47 EOF