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.k7sikZ46Db 0.11/0.32 % Computer : n011.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % DateTime : Thu Jul 2 07:00:31 EDT 2020 0.11/0.32 % CPUTime : 0.11/0.32 % Running portfolio for 120 s 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.32 % Number of cores: 8 0.11/0.32 % Python version: Python 3.6.8 0.11/0.33 % Running in FO mode 0.17/0.53 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 0.17/0.53 % Solved by: fo/fo7.sh 0.17/0.53 To remain in the chosen logic fragment, unification with booleans has been disabled. 0.17/0.53 % done 215 iterations in 0.107s 0.17/0.53 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.17/0.53 % SZS output start Refutation 0.17/0.53 tff(axiom_1, axiom, 0.17/0.53 (?[Y24]: 0.17/0.53 (![X19]: ((id(X19,Y24) & r1(X19)) | ((~id(X19,Y24)) & (~r1(X19))))))). 0.17/0.53 tff(zf_stmt_0, type, zip_tseitin_7 : ($i * $i) > $o). 0.17/0.53 tff(zf_stmt_1, axiom, 0.17/0.53 (zip_tseitin_7(X19,Y24) => ((~r1(X19)) & (~id(X19,Y24))))). 0.17/0.53 tff(zf_stmt_2, type, zip_tseitin_6 : ($i * $i) > $o). 0.17/0.53 tff(zf_stmt_3, axiom, (zip_tseitin_6(X19,Y24) => (r1(X19) & id(X19,Y24)))). 0.17/0.53 tff(zf_stmt_4, axiom, 0.17/0.53 (?[Y24]: (![X19]: (zip_tseitin_7(X19,Y24) | zip_tseitin_6(X19,Y24))))). 0.17/0.53 tff('0', plain, 0.17/0.53 ![X27]: ( zip_tseitin_7(X27, sk_Y24) | zip_tseitin_6(X27, sk_Y24)), 0.17/0.53 inference('cnf', [status(esa)], [zf_stmt_4])). 0.17/0.53 tff(axiom_5, axiom, (![X20]: id(X20,X20))). 0.17/0.53 tff('1', plain, ![X33]: id(X33, X33), 0.17/0.53 inference('cnf', [status(esa)], [axiom_5])). 0.17/0.53 tff('2', plain, ![X25, X26]: (~ id(X25, X26) | ~ zip_tseitin_7(X25, X26)), 0.17/0.53 inference('cnf', [status(esa)], [zf_stmt_1])). 0.17/0.53 tff('3', plain, ![X0]: ~ zip_tseitin_7(X0, X0), 0.17/0.53 inference('sup-', [status(thm)], ['1', '2'])). 0.17/0.53 tff('4', plain, zip_tseitin_6(sk_Y24, sk_Y24), 0.17/0.53 inference('sup-', [status(thm)], ['0', '3'])). 0.17/0.53 tff('5', plain, ![X25, X26]: ( r1(X25) | ~ zip_tseitin_6(X25, X26)), 0.17/0.53 inference('cnf', [status(esa)], [zf_stmt_3])). 0.17/0.53 tff('6', plain, r1(sk_Y24), inference('sup-', [status(thm)], ['4', '5'])). 0.17/0.53 tff(axiom_2a, axiom, 0.17/0.53 (![X2,X9]: 0.17/0.53 (?[Y2]: 0.17/0.53 ((?[Y6]: (r3(Y6,X2,Y2) & r4(X2,X9,Y6))) & 0.17/0.53 (?[Y3]: ((?[Y14]: (r4(X2,Y14,Y3) & r2(X9,Y14))) & id(Y3,Y2))))))). 0.17/0.53 tff('7', plain, ![X11, X12]: r2(X11, sk_Y14(X11, X12)), 0.17/0.53 inference('cnf', [status(esa)], [axiom_2a])). 0.17/0.53 tff('8', plain, ![X11, X12]: r2(X11, sk_Y14(X11, X12)), 0.17/0.53 inference('cnf', [status(esa)], [axiom_2a])). 0.17/0.53 tff(axiom_5a, axiom, 0.17/0.53 (![X5]: 0.17/0.53 (?[Y8]: 0.17/0.53 ((?[Y18]: (id(Y8,Y18) & r1(Y18))) & 0.17/0.53 (?[Y17]: (r1(Y17) & r4(X5,Y17,Y8))))))). 0.17/0.53 tff('9', plain, ![X49]: id(sk_Y8(X49), sk_Y18(X49)), 0.17/0.53 inference('cnf', [status(esa)], [axiom_5a])). 0.17/0.53 tff(axiom_4a, axiom, 0.17/0.53 (![X4]: (?[Y9]: (id(Y9,X4) & (?[Y16]: (r3(X4,Y16,Y9) & r1(Y16))))))). 0.17/0.53 tff('10', plain, ![X79]: id(sk_Y9(X79), X79), 0.17/0.53 inference('cnf', [status(esa)], [axiom_4a])). 0.17/0.53 tff(axiom_6, axiom, (![X21,X22]: ((~id(X21,X22)) | id(X22,X21)))). 0.17/0.53 tff('11', plain, ![X74, X75]: (~ id(X74, X75) | id(X75, X74)), 0.17/0.53 inference('cnf', [status(esa)], [axiom_6])). 0.17/0.53 tff('12', plain, ![X0]: id(X0, sk_Y9(X0)), 0.17/0.53 inference('sup-', [status(thm)], ['10', '11'])). 0.17/0.53 tff(axiom_8, axiom, 0.17/0.53 (![X26,X27]: 0.17/0.53 ((~id(X26,X27)) | ((~r1(X27)) & (~r1(X26))) | (r1(X26) & r1(X27))))). 0.17/0.53 tff(zf_stmt_5, type, zip_tseitin_1 : ($i * $i) > $o). 0.17/0.53 tff(zf_stmt_6, axiom, (zip_tseitin_1(X27,X26) => (r1(X27) & r1(X26)))). 0.17/0.53 tff(zf_stmt_7, type, zip_tseitin_0 : ($i * $i) > $o). 0.17/0.53 tff(zf_stmt_8, axiom, (zip_tseitin_0(X27,X26) => ((~r1(X26)) & (~r1(X27))))). 0.17/0.53 tff(zf_stmt_9, axiom, 0.17/0.53 (![X26,X27]: 0.17/0.53 (zip_tseitin_1(X27,X26) | zip_tseitin_0(X27,X26) | (~id(X26,X27))))). 0.17/0.53 tff('13', plain, 0.17/0.53 ![X2, X3]: 0.17/0.53 ( zip_tseitin_1(X2, X3) | zip_tseitin_0(X2, X3) | ~ id(X3, X2)), 0.17/0.53 inference('cnf', [status(esa)], [zf_stmt_9])). 0.17/0.53 tff('14', plain, 0.17/0.53 ![X0]: ( zip_tseitin_0(sk_Y9(X0), X0) | zip_tseitin_1(sk_Y9(X0), X0)), 0.17/0.53 inference('sup-', [status(thm)], ['12', '13'])). 0.17/0.53 tff('15', plain, ![X0, X1]: ( r1(X1) | ~ zip_tseitin_1(X1, X0)), 0.17/0.53 inference('cnf', [status(esa)], [zf_stmt_6])). 0.17/0.53 tff('16', plain, ![X0]: ( zip_tseitin_0(sk_Y9(X0), X0) | r1(sk_Y9(X0))), 0.17/0.53 inference('sup-', [status(thm)], ['14', '15'])). 0.17/0.53 tff('17', plain, ![X0, X1]: (~ r1(X0) | ~ zip_tseitin_0(X1, X0)), 0.17/0.53 inference('cnf', [status(esa)], [zf_stmt_8])). 0.17/0.53 tff('18', plain, ![X0]: ( r1(sk_Y9(X0)) | ~ r1(X0)), 0.17/0.53 inference('sup-', [status(thm)], ['16', '17'])). 0.17/0.53 tff('19', plain, 0.17/0.53 ![X27]: ( zip_tseitin_7(X27, sk_Y24) | zip_tseitin_6(X27, sk_Y24)), 0.17/0.53 inference('cnf', [status(esa)], [zf_stmt_4])). 0.17/0.53 tff('20', plain, ![X25, X26]: (~ r1(X25) | ~ zip_tseitin_7(X25, X26)), 0.17/0.53 inference('cnf', [status(esa)], [zf_stmt_1])). 0.17/0.53 tff('21', plain, ![X0]: ( zip_tseitin_6(X0, sk_Y24) | ~ r1(X0)), 0.17/0.53 inference('sup-', [status(thm)], ['19', '20'])). 0.17/0.53 tff('22', plain, ![X25, X26]: ( id(X25, X26) | ~ zip_tseitin_6(X25, X26)), 0.17/0.53 inference('cnf', [status(esa)], [zf_stmt_3])). 0.17/0.53 tff('23', plain, ![X0]: (~ r1(X0) | id(X0, sk_Y24)), 0.17/0.53 inference('sup-', [status(thm)], ['21', '22'])). 0.17/0.53 tff('24', plain, ![X74, X75]: (~ id(X74, X75) | id(X75, X74)), 0.17/0.53 inference('cnf', [status(esa)], [axiom_6])). 0.17/0.53 tff('25', plain, ![X0]: (~ r1(X0) | id(sk_Y24, X0)), 0.17/0.53 inference('sup-', [status(thm)], ['23', '24'])). 0.17/0.53 tff('26', plain, ![X0]: (~ r1(X0) | id(X0, sk_Y24)), 0.17/0.53 inference('sup-', [status(thm)], ['21', '22'])). 0.17/0.53 tff(axiom_7, axiom, 0.17/0.53 (![X23,X24,X25]: ((~id(X23,X24)) | id(X23,X25) | (~id(X24,X25))))). 0.17/0.53 tff('27', plain, 0.17/0.53 ![X76, X77, X78]: (~ id(X76, X77) | ~ id(X77, X78) | id(X76, X78)), 0.17/0.53 inference('cnf', [status(esa)], [axiom_7])). 0.17/0.53 tff('28', plain, ![X0, X1]: (~ r1(X0) | id(X0, X1) | ~ id(sk_Y24, X1)), 0.17/0.53 inference('sup-', [status(thm)], ['26', '27'])). 0.17/0.53 tff('29', plain, ![X0, X1]: (~ r1(X0) | id(X1, X0) | ~ r1(X1)), 0.17/0.53 inference('sup-', [status(thm)], ['25', '28'])). 0.17/0.53 tff('30', plain, ![X79]: r3(X79, sk_Y16(X79), sk_Y9(X79)), 0.17/0.53 inference('cnf', [status(esa)], [axiom_4a])). 0.17/0.53 tff('31', plain, ![X49]: r4(X49, sk_Y17(X49), sk_Y8(X49)), 0.17/0.53 inference('cnf', [status(esa)], [axiom_5a])). 0.17/0.53 tff(thereexistsanevennumberid, conjecture, 0.17/0.53 (?[Y1,Y2,Y3]: 0.17/0.53 ((?[Y5]: (r3(Y2,Y3,Y5) & id(Y5,Y1))) & 0.17/0.53 (?[Y4]: 0.17/0.53 ((?[Y6]: 0.17/0.53 ((?[Y7]: (r2(Y7,Y6) & (?[Y8]: (r1(Y8) & r2(Y8,Y7))))) & 0.17/0.53 r4(Y6,Y2,Y4))) & 0.17/0.53 id(Y4,Y1)))))). 0.17/0.53 tff(zf_stmt_10, negated_conjecture, 0.17/0.53 (~ 0.17/0.53 (?[Y1,Y2,Y3]: 0.17/0.53 ((?[Y5]: (r3(Y2,Y3,Y5) & id(Y5,Y1))) & 0.17/0.53 (?[Y4]: 0.17/0.53 ((?[Y6]: 0.17/0.53 ((?[Y7]: (r2(Y7,Y6) & (?[Y8]: (r1(Y8) & r2(Y8,Y7))))) & 0.17/0.53 r4(Y6,Y2,Y4))) & 0.17/0.53 id(Y4,Y1))))))). 0.17/0.53 tff('32', plain, 0.17/0.53 ![X82, X83, X84, X85, X86, X87, X88, X89]: 0.17/0.53 (~ id(X82, X83) 0.17/0.53 | ~ r1(X84) 0.17/0.53 | ~ r2(X84, X85) 0.17/0.53 | ~ r2(X85, X86) 0.17/0.53 | ~ r4(X86, X87, X82) 0.17/0.53 | ~ id(X88, X83) 0.17/0.53 | ~ r3(X87, X89, X88)), 0.17/0.53 inference('cnf', [status(esa)], [zf_stmt_10])). 0.17/0.53 tff('33', plain, 0.17/0.53 ![X0, X1, X2, X3, X4, X5]: 0.17/0.53 (~ r3(sk_Y17(X0), X2, X1) 0.17/0.53 | ~ id(X1, X3) 0.17/0.53 | ~ r2(X4, X0) 0.17/0.53 | ~ r2(X5, X4) 0.17/0.53 | ~ r1(X5) 0.17/0.53 | ~ id(sk_Y8(X0), X3)), 0.17/0.53 inference('sup-', [status(thm)], ['31', '32'])). 0.17/0.53 tff('34', plain, 0.17/0.53 ![X0, X1, X2, X3]: 0.17/0.53 (~ id(sk_Y8(X0), X1) 0.17/0.53 | ~ r1(X2) 0.17/0.53 | ~ r2(X2, X3) 0.17/0.53 | ~ r2(X3, X0) 0.17/0.53 | ~ id(sk_Y9(sk_Y17(X0)), X1)), 0.17/0.53 inference('sup-', [status(thm)], ['30', '33'])). 0.17/0.53 tff('35', plain, 0.17/0.53 ![X0, X1, X2, X3]: 0.17/0.53 (~ r1(sk_Y9(sk_Y17(X1))) 0.17/0.53 | ~ r1(X0) 0.17/0.53 | ~ r2(X2, X1) 0.17/0.53 | ~ r2(X3, X2) 0.17/0.53 | ~ r1(X3) 0.17/0.53 | ~ id(sk_Y8(X1), X0)), 0.17/0.53 inference('sup-', [status(thm)], ['29', '34'])). 0.17/0.53 tff('36', plain, 0.17/0.53 ![X0, X1, X2, X3]: 0.17/0.53 (~ r1(sk_Y17(X0)) 0.17/0.53 | ~ id(sk_Y8(X0), X1) 0.17/0.53 | ~ r1(X2) 0.17/0.53 | ~ r2(X2, X3) 0.17/0.53 | ~ r2(X3, X0) 0.17/0.53 | ~ r1(X1)), 0.17/0.53 inference('sup-', [status(thm)], ['18', '35'])). 0.17/0.53 tff('37', plain, ![X49]: r1(sk_Y17(X49)), 0.17/0.53 inference('cnf', [status(esa)], [axiom_5a])). 0.17/0.53 tff('38', plain, 0.17/0.53 ![X0, X1, X2, X3]: 0.17/0.53 (~ id(sk_Y8(X0), X1) 0.17/0.53 | ~ r1(X2) 0.17/0.53 | ~ r2(X2, X3) 0.17/0.53 | ~ r2(X3, X0) 0.17/0.53 | ~ r1(X1)), 0.17/0.53 inference('demod', [status(thm)], ['36', '37'])). 0.17/0.53 tff('39', plain, 0.17/0.53 ![X0, X1, X2]: 0.17/0.53 (~ r1(sk_Y18(X0)) | ~ r2(X1, X0) | ~ r2(X2, X1) | ~ r1(X2)), 0.17/0.53 inference('sup-', [status(thm)], ['9', '38'])). 0.17/0.53 tff('40', plain, ![X49]: r1(sk_Y18(X49)), 0.17/0.53 inference('cnf', [status(esa)], [axiom_5a])). 0.17/0.53 tff('41', plain, ![X0, X1, X2]: (~ r2(X1, X0) | ~ r2(X2, X1) | ~ r1(X2)), 0.17/0.53 inference('demod', [status(thm)], ['39', '40'])). 0.17/0.53 tff('42', plain, ![X1, X2]: (~ r1(X2) | ~ r2(X2, X1)), 0.17/0.53 inference('sup-', [status(thm)], ['8', '41'])). 0.17/0.53 tff('43', plain, ![X1]: ~ r1(X1), 0.17/0.53 inference('sup-', [status(thm)], ['7', '42'])). 0.17/0.53 tff('44', plain, $false, inference('sup-', [status(thm)], ['6', '43'])). 0.17/0.54 0.17/0.54 % SZS output end Refutation 0.17/0.54 0.17/0.54 % Zipperpin 1.5 exiting 0.17/0.55 EOF