0.07/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.uWHfK51Pgp 0.14/0.36 % Computer : n015.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 180 0.14/0.36 % DateTime : Thu Aug 29 09:10:07 EDT 2019 0.14/0.36 % CPUTime : 36.66/36.90 % Running portfolio for 180 s 36.66/36.90 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 36.66/36.90 % TempDir : /export/starexec/sandbox/tmp/tmp.uWHfK51Pgp 36.66/36.90 % Recognized as monomorphic FO. 36.66/36.90 % Running /export/starexec/sandbox/solver/bin/fo.1.sh for 36 36.66/36.90 % Running /export/starexec/sandbox/solver/bin/fo.2.sh for 29 36.66/36.90 % Solved by: fo.2.sh 36.66/36.90 % done 1221 iterations in 0.487s 36.66/36.90 % hashcons stats for terms: size 4096, num 2606, sum length 7368, buckets: small 0, median 3, big 7 36.66/36.90 % proof state stats: {active 380, passive 2995, simpl 0} 36.66/36.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 36.66/36.90 % SZS output start Refutation 36.66/36.90 tff(axiom_1, axiom, 36.66/36.90 (?[Y24]: (![X19]: (((Y24 = X19) & r1(X19)) | ((~r1(X19)) & (X19 != Y24)))))). 36.66/36.90 tff(zf_stmt_0, type, zip_tseitin9 : ($i * $i) > $o). 36.66/36.90 tff(zf_stmt_1, axiom, (zip_tseitin9(X19,Y24) => ((X19 != Y24) & (~r1(X19))))). 36.66/36.90 tff(zf_stmt_2, type, zip_tseitin8 : ($i * $i) > $o). 36.66/36.90 tff(zf_stmt_3, axiom, (zip_tseitin8(X19,Y24) => (r1(X19) & (Y24 = X19)))). 36.66/36.90 tff(zf_stmt_4, axiom, 36.66/36.90 (?[Y24]: (![X19]: (zip_tseitin9(X19,Y24) | zip_tseitin8(X19,Y24))))). 36.66/36.90 tff('0', plain, 36.66/36.90 ![X34]: (zip_tseitin9(X34, sk_Y24_) | zip_tseitin8(X34, sk_Y24_)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_4])). 36.66/36.90 tff('1', plain, ![X32, X33]: (X32 != X33 | ~ zip_tseitin9(X32, X33)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_1])). 36.66/36.90 tff('2', plain, ![X33]: ~ zip_tseitin9(X33, X33), 36.66/36.90 inference('simplify', [status(thm)], ['1'])). 36.66/36.90 tff('3', plain, zip_tseitin8(sk_Y24_, sk_Y24_), 36.66/36.90 inference('s_sup-', [status(thm)], ['0', '2'])). 36.66/36.90 tff('4', plain, ![X32, X33]: (r1(X32) | ~ zip_tseitin8(X32, X33)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_3])). 36.66/36.90 tff('5', plain, r1(sk_Y24_), inference('s_sup-', [status(thm)], ['3', '4'])). 36.66/36.90 tff(axiom_2, axiom, 36.66/36.90 (![X11]: 36.66/36.90 (?[Y21]: 36.66/36.90 (![X12]: 36.66/36.90 (((~r2(X11,X12)) & (Y21 != X12)) | ((X12 = Y21) & r2(X11,X12))))))). 36.66/36.90 tff(zf_stmt_5, type, zip_tseitin5 : ($i * $i * $i) > $o). 36.66/36.90 tff(zf_stmt_6, axiom, 36.66/36.90 (zip_tseitin5(X12,Y21,X11) => (r2(X11,X12) & (X12 = Y21)))). 36.66/36.90 tff(zf_stmt_7, type, zip_tseitin4 : ($i * $i * $i) > $o). 36.66/36.90 tff(zf_stmt_8, axiom, 36.66/36.90 (zip_tseitin4(X12,Y21,X11) => ((Y21 != X12) & (~r2(X11,X12))))). 36.66/36.90 tff(zf_stmt_9, axiom, 36.66/36.90 (![X11]: 36.66/36.90 (?[Y21]: 36.66/36.90 (![X12]: (zip_tseitin5(X12,Y21,X11) | zip_tseitin4(X12,Y21,X11)))))). 36.66/36.90 tff('6', plain, 36.66/36.90 ![X19, X20]: 36.66/36.90 (zip_tseitin5(X19, sk_Y21_(X20), X20) 36.66/36.90 | zip_tseitin4(X19, sk_Y21_(X20), X20)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_9])). 36.66/36.90 tff('7', plain, 36.66/36.90 ![X16, X17, X18]: (r2(X18, X16) | ~ zip_tseitin5(X16, X17, X18)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_6])). 36.66/36.90 tff('8', plain, ![X0, X1]: (zip_tseitin4(X1, sk_Y21_(X0), X0) | r2(X0, X1)), 36.66/36.90 inference('s_sup-', [status(thm)], ['6', '7'])). 36.66/36.90 tff('9', plain, 36.66/36.90 ![X16, X17, X18]: (X17 != X16 | ~ zip_tseitin4(X16, X17, X18)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_8])). 36.66/36.90 tff('10', plain, ![X16, X18]: ~ zip_tseitin4(X16, X16, X18), 36.66/36.90 inference('simplify', [status(thm)], ['9'])). 36.66/36.90 tff('11', plain, ![X0]: r2(X0, sk_Y21_(X0)), 36.66/36.90 inference('s_sup-', [status(thm)], ['8', '10'])). 36.66/36.90 tff(axiom_4a, axiom, 36.66/36.90 (![X4]: (?[Y9]: ((?[Y16]: (r1(Y16) & r3(X4,Y16,Y9))) & (Y9 = X4))))). 36.66/36.90 tff('12', plain, ![X39]: r1(sk_Y16_(X39)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_4a])). 36.66/36.90 tff('13', plain, ![X32, X33]: (~ r1(X32) | ~ zip_tseitin9(X32, X33)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_1])). 36.66/36.90 tff('14', plain, ![X0]: (zip_tseitin8(X0, sk_Y24_) | ~ r1(X0)), 36.66/36.90 inference('s_sup-', [status(thm)], ['0', '13'])). 36.66/36.90 tff('15', plain, ![X32, X33]: (X33 = X32 | ~ zip_tseitin8(X32, X33)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_3])). 36.66/36.90 tff('16', plain, ![X0]: (~ r1(X0) | sk_Y24_ = X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['14', '15'])). 36.66/36.90 tff('17', plain, ![X0]: sk_Y24_ = sk_Y16_(X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['12', '16'])). 36.66/36.90 tff('18', plain, ![X39]: sk_Y9_(X39) = X39, 36.66/36.90 inference('cnf', [status(esa)], [axiom_4a])). 36.66/36.90 tff('19', plain, ![X39]: r3(X39, sk_Y16_(X39), sk_Y9_(X39)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_4a])). 36.66/36.90 tff('20', plain, ![X0]: r3(X0, sk_Y16_(X0), X0), 36.66/36.90 inference('s_sup+', [status(thm)], ['18', '19'])). 36.66/36.90 tff('21', plain, ![X0]: r3(X0, sk_Y24_, X0), 36.66/36.90 inference('s_sup+', [status(thm)], ['17', '20'])). 36.66/36.90 tff(axiom_3, axiom, 36.66/36.90 (![X13,X14]: 36.66/36.90 (?[Y22]: 36.66/36.90 (![X15]: 36.66/36.90 ((r3(X13,X14,X15) & (Y22 = X15)) | 36.66/36.90 ((~r3(X13,X14,X15)) & (X15 != Y22))))))). 36.66/36.90 tff(zf_stmt_10, type, zip_tseitin7 : ($i * $i * $i * $i) > $o). 36.66/36.90 tff(zf_stmt_11, axiom, 36.66/36.90 (zip_tseitin7(X15,Y22,X14,X13) => ((X15 != Y22) & (~r3(X13,X14,X15))))). 36.66/36.90 tff(zf_stmt_12, type, zip_tseitin6 : ($i * $i * $i * $i) > $o). 36.66/36.90 tff(zf_stmt_13, axiom, 36.66/36.90 (zip_tseitin6(X15,Y22,X14,X13) => ((Y22 = X15) & r3(X13,X14,X15)))). 36.66/36.90 tff(zf_stmt_14, axiom, 36.66/36.90 (![X13,X14]: 36.66/36.90 (?[Y22]: 36.66/36.90 (![X15]: 36.66/36.90 (zip_tseitin7(X15,Y22,X14,X13) | zip_tseitin6(X15,Y22,X14,X13)))))). 36.66/36.90 tff('22', plain, 36.66/36.90 ![X25, X26, X27]: 36.66/36.90 (zip_tseitin7(X25, sk_Y22_(X26, X27), X26, X27) 36.66/36.90 | zip_tseitin6(X25, sk_Y22_(X26, X27), X26, X27)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_14])). 36.66/36.90 tff('23', plain, 36.66/36.90 ![X21, X22, X23, X24]: 36.66/36.90 (~ r3(X24, X23, X21) | ~ zip_tseitin7(X21, X22, X23, X24)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_11])). 36.66/36.90 tff('24', plain, 36.66/36.90 ![X0, X1, X2]: 36.66/36.90 (zip_tseitin6(X2, sk_Y22_(X1, X0), X1, X0) | ~ r3(X0, X1, X2)), 36.66/36.90 inference('s_sup-', [status(thm)], ['22', '23'])). 36.66/36.90 tff('25', plain, ![X0]: zip_tseitin6(X0, sk_Y22_(sk_Y24_, X0), sk_Y24_, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['21', '24'])). 36.66/36.90 tff('26', plain, 36.66/36.90 ![X21, X22, X23, X24]: (X22 = X21 | ~ zip_tseitin6(X21, X22, X23, X24)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_13])). 36.66/36.90 tff('27', plain, ![X0]: sk_Y22_(sk_Y24_, X0) = X0, 36.66/36.90 inference('s_sup-', [status(thm)], ['25', '26'])). 36.66/36.90 tff(axiom_1a, axiom, 36.66/36.90 (![X1,X8]: 36.66/36.90 (?[Y4]: 36.66/36.90 ((?[Y5]: ((Y4 = Y5) & (?[Y15]: (r3(X1,Y15,Y5) & r2(X8,Y15))))) & 36.66/36.90 (?[Y7]: (r3(X1,X8,Y7) & r2(Y7,Y4))))))). 36.66/36.90 tff('28', plain, ![X0, X1]: r3(X0, X1, sk_Y7_(X1, X0)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_1a])). 36.66/36.90 tff('29', plain, 36.66/36.90 ![X0, X1]: zip_tseitin6(sk_Y7_(X1, X0), sk_Y22_(X1, X0), X1, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['28', '24'])). 36.66/36.90 tff('30', plain, ![X0, X1]: sk_Y22_(X1, X0) = sk_Y7_(X1, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['29', '26'])). 36.66/36.90 tff('31', plain, ![X0, X1]: r2(sk_Y7_(X1, X0), sk_Y4_(X1, X0)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_1a])). 36.66/36.90 tff('32', plain, 36.66/36.90 ![X16, X17, X18]: (X16 = X17 | ~ zip_tseitin5(X16, X17, X18)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_6])). 36.66/36.90 tff('33', plain, 36.66/36.90 ![X0, X1]: (zip_tseitin4(X1, sk_Y21_(X0), X0) | X1 = sk_Y21_(X0)), 36.66/36.90 inference('s_sup-', [status(thm)], ['6', '32'])). 36.66/36.90 tff('34', plain, 36.66/36.90 ![X16, X17, X18]: (~ r2(X18, X16) | ~ zip_tseitin4(X16, X17, X18)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_8])). 36.66/36.90 tff('35', plain, ![X0, X1]: (X1 = sk_Y21_(X0) | ~ r2(X0, X1)), 36.66/36.90 inference('s_sup-', [status(thm)], ['33', '34'])). 36.66/36.90 tff('36', plain, ![X0, X1]: sk_Y4_(X1, X0) = sk_Y21_(sk_Y7_(X1, X0)), 36.66/36.90 inference('s_sup-', [status(thm)], ['31', '35'])). 36.66/36.90 tff('37', plain, 36.66/36.90 ![X0, X1, X2]: 36.66/36.90 (zip_tseitin4(X2, sk_Y4_(X1, X0), sk_Y7_(X1, X0)) | X2 = sk_Y4_(X1, X0)), 36.66/36.90 inference('s_sup+', [status(thm)], ['36', '33'])). 36.66/36.90 tff('38', plain, 36.66/36.90 ![X0, X1, X2]: (X2 = sk_Y4_(X1, X0) | ~ r2(sk_Y7_(X1, X0), X2)), 36.66/36.90 inference('s_sup-', [status(thm)], ['37', '34'])). 36.66/36.90 tff('39', plain, 36.66/36.90 ![X0, X1, X2]: (X2 = sk_Y4_(X1, X0) | ~ r2(sk_Y22_(X1, X0), X2)), 36.66/36.90 inference('s_sup-', [status(thm)], ['30', '38'])). 36.66/36.90 tff('40', plain, ![X0, X1]: (X1 = sk_Y4_(sk_Y24_, X0) | ~ r2(X0, X1)), 36.66/36.90 inference('s_sup-', [status(thm)], ['27', '39'])). 36.66/36.90 tff('41', plain, ![X0]: sk_Y21_(X0) = sk_Y4_(sk_Y24_, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['11', '40'])). 36.66/36.90 tff(axiom_3a, axiom, 36.66/36.90 (![X3,X10]: 36.66/36.90 ((![Y12]: ((~r2(X10,Y12)) | (![Y13]: ((~r2(X3,Y13)) | (Y13 != Y12))))) | 36.66/36.90 (X3 = X10)))). 36.66/36.90 tff('42', plain, 36.66/36.90 ![X28, X29, X30, X31]: 36.66/36.90 (~ r2(X28, X29) | X29 != X30 | ~ r2(X31, X30) | X28 = X31), 36.66/36.90 inference('cnf', [status(esa)], [axiom_3a])). 36.66/36.90 tff('43', plain, 36.66/36.90 ![X28, X30, X31]: (X28 = X31 | ~ r2(X31, X30) | ~ r2(X28, X30)), 36.66/36.90 inference('simplify', [status(thm)], ['42'])). 36.66/36.90 tff('44', plain, 36.66/36.90 ![X0, X1, X2]: (X2 = sk_Y7_(X1, X0) | ~ r2(X2, sk_Y4_(X1, X0))), 36.66/36.90 inference('s_sup-', [status(thm)], ['31', '43'])). 36.66/36.90 tff('45', plain, 36.66/36.90 ![X0, X1]: (X1 = sk_Y7_(sk_Y24_, X0) | ~ r2(X1, sk_Y21_(X0))), 36.66/36.90 inference('s_sup-', [status(thm)], ['41', '44'])). 36.66/36.90 tff('46', plain, ![X0]: X0 = sk_Y7_(sk_Y24_, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['11', '45'])). 36.66/36.90 tff('47', plain, ![X0]: r2(X0, sk_Y4_(sk_Y24_, X0)), 36.66/36.90 inference('s_sup+', [status(thm)], ['46', '31'])). 36.66/36.90 tff('48', plain, ![X0, X1]: sk_Y4_(X1, X0) = sk_Y5_(X1, X0), 36.66/36.90 inference('cnf', [status(esa)], [axiom_1a])). 36.66/36.90 tff('49', plain, ![X0, X1]: r3(X0, sk_Y15_(X1, X0), sk_Y5_(X1, X0)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_1a])). 36.66/36.90 tff('50', plain, ![X0, X1]: r3(X0, sk_Y15_(X1, X0), sk_Y4_(X1, X0)), 36.66/36.90 inference('s_sup+', [status(thm)], ['48', '49'])). 36.66/36.90 tff('51', plain, 36.66/36.90 ![X0, X1]: 36.66/36.90 zip_tseitin6(sk_Y4_(X1, X0), sk_Y22_(sk_Y15_(X1, X0), X0), 36.66/36.90 sk_Y15_(X1, X0), X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['50', '24'])). 36.66/36.90 tff('52', plain, ![X0, X1]: sk_Y22_(sk_Y15_(X1, X0), X0) = sk_Y4_(X1, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['51', '26'])). 36.66/36.90 tff('53', plain, ![X0, X1]: r2(X1, sk_Y15_(X1, X0)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_1a])). 36.66/36.90 tff('54', plain, ![X0, X1]: sk_Y15_(X1, X0) = sk_Y4_(sk_Y24_, X1), 36.66/36.90 inference('s_sup-', [status(thm)], ['53', '40'])). 36.66/36.90 tff(axiom_5a, axiom, 36.66/36.90 (![X5]: 36.66/36.90 (?[Y8]: 36.66/36.90 ((?[Y18]: ((Y8 = Y18) & r1(Y18))) & 36.66/36.90 (?[Y17]: (r1(Y17) & r4(X5,Y17,Y8))))))). 36.66/36.90 tff('55', plain, ![X38]: r1(sk_Y18_(X38)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_5a])). 36.66/36.90 tff('56', plain, ![X0]: sk_Y24_ = sk_Y18_(X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['55', '16'])). 36.66/36.90 tff('57', plain, ![X38]: sk_Y8_(X38) = sk_Y18_(X38), 36.66/36.90 inference('cnf', [status(esa)], [axiom_5a])). 36.66/36.90 tff('58', plain, ![X38]: r1(sk_Y17_(X38)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_5a])). 36.66/36.90 tff('59', plain, ![X0]: sk_Y24_ = sk_Y17_(X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['58', '16'])). 36.66/36.90 tff('60', plain, ![X38]: r4(X38, sk_Y17_(X38), sk_Y8_(X38)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_5a])). 36.66/36.90 tff('61', plain, ![X0]: r4(X0, sk_Y24_, sk_Y8_(X0)), 36.66/36.90 inference('s_sup+', [status(thm)], ['59', '60'])). 36.66/36.90 tff('62', plain, ![X0]: r4(X0, sk_Y24_, sk_Y18_(X0)), 36.66/36.90 inference('s_sup+', [status(thm)], ['57', '61'])). 36.66/36.90 tff('63', plain, ![X0]: r4(X0, sk_Y24_, sk_Y24_), 36.66/36.90 inference('s_sup+', [status(thm)], ['56', '62'])). 36.66/36.90 tff(axiom_4, axiom, 36.66/36.90 (![X16,X17]: 36.66/36.90 (?[Y23]: 36.66/36.90 (![X18]: 36.66/36.90 (((Y23 = X18) & r4(X16,X17,X18)) | 36.66/36.90 ((~r4(X16,X17,X18)) & (Y23 != X18))))))). 36.66/36.90 tff(zf_stmt_15, type, zip_tseitin1 : ($i * $i * $i * $i) > $o). 36.66/36.90 tff(zf_stmt_16, axiom, 36.66/36.90 (zip_tseitin1(X18,Y23,X17,X16) => ((Y23 != X18) & (~r4(X16,X17,X18))))). 36.66/36.90 tff(zf_stmt_17, type, zip_tseitin0 : ($i * $i * $i * $i) > $o). 36.66/36.90 tff(zf_stmt_18, axiom, 36.66/36.90 (zip_tseitin0(X18,Y23,X17,X16) => (r4(X16,X17,X18) & (Y23 = X18)))). 36.66/36.90 tff(zf_stmt_19, axiom, 36.66/36.90 (![X16,X17]: 36.66/36.90 (?[Y23]: 36.66/36.90 (![X18]: 36.66/36.90 (zip_tseitin1(X18,Y23,X17,X16) | zip_tseitin0(X18,Y23,X17,X16)))))). 36.66/36.90 tff('64', plain, 36.66/36.90 ![X6, X7, X8]: 36.66/36.90 (zip_tseitin1(X6, sk_Y23_(X7, X8), X7, X8) 36.66/36.90 | zip_tseitin0(X6, sk_Y23_(X7, X8), X7, X8)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_19])). 36.66/36.90 tff('65', plain, 36.66/36.90 ![X2, X3, X4, X5]: (~ r4(X2, X3, X4) | ~ zip_tseitin1(X4, X5, X3, X2)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_16])). 36.66/36.90 tff('66', plain, 36.66/36.90 ![X0, X1, X2]: 36.66/36.90 (zip_tseitin0(X2, sk_Y23_(X1, X0), X1, X0) | ~ r4(X0, X1, X2)), 36.66/36.90 inference('s_sup-', [status(thm)], ['64', '65'])). 36.66/36.90 tff('67', plain, 36.66/36.90 ![X0]: zip_tseitin0(sk_Y24_, sk_Y23_(sk_Y24_, X0), sk_Y24_, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['63', '66'])). 36.66/36.90 tff('68', plain, 36.66/36.90 ![X2, X3, X4, X5]: (X5 = X4 | ~ zip_tseitin0(X4, X5, X3, X2)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_18])). 36.66/36.90 tff('69', plain, ![X0]: sk_Y23_(sk_Y24_, X0) = sk_Y24_, 36.66/36.90 inference('s_sup-', [status(thm)], ['67', '68'])). 36.66/36.90 tff(axiom_2a, axiom, 36.66/36.90 (![X2,X9]: 36.66/36.90 (?[Y2]: 36.66/36.90 ((?[Y3]: ((?[Y14]: (r4(X2,Y14,Y3) & r2(X9,Y14))) & (Y2 = Y3))) & 36.66/36.90 (?[Y6]: (r3(Y6,X2,Y2) & r4(X2,X9,Y6))))))). 36.66/36.90 tff('70', plain, ![X14, X15]: r4(X15, X14, sk_Y6_(X14, X15)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_2a])). 36.66/36.90 tff('71', plain, 36.66/36.90 ![X0, X1]: zip_tseitin0(sk_Y6_(X1, X0), sk_Y23_(X1, X0), X1, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['70', '66'])). 36.66/36.90 tff('72', plain, 36.66/36.90 ![X0]: zip_tseitin0(sk_Y6_(sk_Y24_, X0), sk_Y24_, sk_Y24_, X0), 36.66/36.90 inference('s_sup+', [status(thm)], ['69', '71'])). 36.66/36.90 tff('73', plain, ![X0]: sk_Y24_ = sk_Y6_(sk_Y24_, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['72', '68'])). 36.66/36.90 tff('74', plain, ![X14, X15]: r3(sk_Y6_(X14, X15), X15, sk_Y2_(X14, X15)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_2a])). 36.66/36.90 tff('75', plain, ![X0]: r3(sk_Y24_, X0, sk_Y2_(sk_Y24_, X0)), 36.66/36.90 inference('s_sup+', [status(thm)], ['73', '74'])). 36.66/36.90 tff('76', plain, 36.66/36.90 ![X0]: 36.66/36.90 zip_tseitin6(sk_Y2_(sk_Y24_, X0), sk_Y22_(X0, sk_Y24_), X0, sk_Y24_), 36.66/36.90 inference('s_sup-', [status(thm)], ['75', '24'])). 36.66/36.90 tff('77', plain, ![X0]: sk_Y22_(X0, sk_Y24_) = sk_Y2_(sk_Y24_, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['76', '26'])). 36.66/36.90 tff('78', plain, ![X14, X15]: r2(X14, sk_Y14_(X14, X15)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_2a])). 36.66/36.90 tff('79', plain, ![X0, X1]: sk_Y14_(X1, X0) = sk_Y21_(X1), 36.66/36.90 inference('s_sup-', [status(thm)], ['78', '35'])). 36.66/36.90 tff('80', plain, ![X14, X15]: sk_Y2_(X14, X15) = sk_Y3_(X14, X15), 36.66/36.90 inference('cnf', [status(esa)], [axiom_2a])). 36.66/36.90 tff('81', plain, ![X14, X15]: r4(X15, sk_Y14_(X14, X15), sk_Y3_(X14, X15)), 36.66/36.90 inference('cnf', [status(esa)], [axiom_2a])). 36.66/36.90 tff('82', plain, ![X0, X1]: r4(X0, sk_Y14_(X1, X0), sk_Y2_(X1, X0)), 36.66/36.90 inference('s_sup+', [status(thm)], ['80', '81'])). 36.66/36.90 tff('83', plain, 36.66/36.90 ![X0, X1]: 36.66/36.90 zip_tseitin0(sk_Y2_(X1, X0), sk_Y23_(sk_Y14_(X1, X0), X0), 36.66/36.90 sk_Y14_(X1, X0), X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['82', '66'])). 36.66/36.90 tff('84', plain, ![X0, X1]: sk_Y23_(sk_Y14_(X1, X0), X0) = sk_Y2_(X1, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['83', '68'])). 36.66/36.90 tff('85', plain, ![X0, X1]: sk_Y23_(sk_Y21_(X0), X1) = sk_Y2_(X0, X1), 36.66/36.90 inference('s_sup+', [status(thm)], ['79', '84'])). 36.66/36.90 tff('86', plain, 36.66/36.90 ![X2, X3, X4, X5]: (X5 != X4 | ~ zip_tseitin1(X4, X5, X3, X2)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_16])). 36.66/36.90 tff('87', plain, ![X2, X3, X4]: ~ zip_tseitin1(X4, X4, X3, X2), 36.66/36.90 inference('simplify', [status(thm)], ['86'])). 36.66/36.90 tff('88', plain, 36.66/36.90 ![X0, X1]: zip_tseitin0(sk_Y23_(X1, X0), sk_Y23_(X1, X0), X1, X0), 36.66/36.90 inference('s_sup-', [status(thm)], ['64', '87'])). 36.66/36.90 tff('89', plain, 36.66/36.90 ![X2, X3, X4, X5]: (r4(X2, X3, X4) | ~ zip_tseitin0(X4, X5, X3, X2)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_18])). 36.66/36.90 tff('90', plain, ![X0, X1]: r4(X0, X1, sk_Y23_(X1, X0)), 36.66/36.90 inference('s_sup-', [status(thm)], ['88', '89'])). 36.66/36.90 tff(onetimesoneeqone, conjecture, 36.66/36.90 (?[Y1]: 36.66/36.90 ((?[Y3]: ((?[Y5]: (r1(Y5) & r2(Y5,Y3))) & (Y3 = Y1))) & 36.66/36.90 (?[Y2]: ((?[Y4]: (r1(Y4) & r2(Y4,Y2))) & r4(Y2,Y2,Y1)))))). 36.66/36.90 tff(zf_stmt_20, negated_conjecture, 36.66/36.90 (~ 36.66/36.90 (?[Y1]: 36.66/36.90 ((?[Y3]: ((?[Y5]: (r1(Y5) & r2(Y5,Y3))) & (Y3 = Y1))) & 36.66/36.90 (?[Y2]: ((?[Y4]: (r1(Y4) & r2(Y4,Y2))) & r4(Y2,Y2,Y1))))))). 36.66/36.90 tff('91', plain, 36.66/36.90 ![X40, X41, X42, X43, X44]: 36.66/36.90 (X41 != X40 36.66/36.90 | ~ r1(X42) 36.66/36.90 | ~ r2(X42, X41) 36.66/36.90 | ~ r4(X43, X43, X40) 36.66/36.90 | ~ r1(X44) 36.66/36.90 | ~ r2(X44, X43)), 36.66/36.90 inference('cnf', [status(esa)], [zf_stmt_20])). 36.66/36.90 tff('92', plain, 36.66/36.90 ![X40, X42, X43, X44]: 36.66/36.90 (~ r2(X44, X43) 36.66/36.90 | ~ r1(X44) 36.66/36.90 | ~ r4(X43, X43, X40) 36.66/36.90 | ~ r2(X42, X40) 36.66/36.90 | ~ r1(X42)), 36.66/36.90 inference('simplify', [status(thm)], ['91'])). 36.66/36.90 tff('93', plain, 36.66/36.90 ![X0, X1, X2]: 36.66/36.90 (~ r2(X1, X0) | ~ r1(X1) | ~ r2(X2, sk_Y23_(X0, X0)) | ~ r1(X2)), 36.66/36.90 inference('s_sup-', [status(thm)], ['90', '92'])). 36.66/36.90 tff('94', plain, 36.66/36.90 ![X0, X1, X2]: 36.66/36.90 (~ r2(X2, sk_Y21_(X0)) 36.66/36.90 | ~ r1(X2) 36.66/36.90 | ~ r2(X1, sk_Y2_(X0, sk_Y21_(X0))) 36.66/36.90 | ~ r1(X1)), 36.66/36.90 inference('s_sup-', [status(thm)], ['85', '93'])). 36.66/36.90 tff('95', plain, 36.66/36.90 ![X0, X1, X2, X3]: 36.66/36.90 (~ r2(X3, sk_Y4_(X1, X0)) 36.66/36.90 | ~ r1(X3) 36.66/36.90 | ~ r2(X2, sk_Y2_(sk_Y7_(X1, X0), sk_Y4_(X1, X0))) 36.69/36.90 | ~ r1(X2)), 36.69/36.90 inference('s_sup-', [status(thm)], ['36', '94'])). 36.69/36.90 tff('96', plain, 36.69/36.90 ![X0, X1, X2]: 36.69/36.90 (~ r2(X2, sk_Y4_(sk_Y24_, X0)) 36.69/36.90 | ~ r1(X2) 36.69/36.90 | ~ r2(X1, sk_Y2_(X0, sk_Y4_(sk_Y24_, X0))) 36.69/36.90 | ~ r1(X1)), 36.69/36.90 inference('s_sup-', [status(thm)], ['46', '95'])). 36.69/36.90 tff('97', plain, 36.69/36.90 ![X0, X1]: 36.69/36.90 (~ r2(X1, sk_Y4_(sk_Y24_, sk_Y24_)) 36.69/36.90 | ~ r1(X1) 36.69/36.90 | ~ r2(X0, sk_Y22_(sk_Y4_(sk_Y24_, sk_Y24_), sk_Y24_)) 36.69/36.90 | ~ r1(X0)), 36.69/36.90 inference('s_sup-', [status(thm)], ['77', '96'])). 36.69/36.90 tff('98', plain, 36.69/36.90 (![X0]: (~ r1(X0) | ~ r2(X0, sk_Y22_(sk_Y4_(sk_Y24_, sk_Y24_), sk_Y24_)))) 36.69/36.90 <= ((![X0]: 36.69/36.90 (~ r1(X0) | ~ r2(X0, sk_Y22_(sk_Y4_(sk_Y24_, sk_Y24_), sk_Y24_))))), 36.69/36.90 inference('split', [status(esa)], ['97'])). 36.69/36.90 tff('99', plain, 36.69/36.90 (![X0]: (~ r1(X0) | ~ r2(X0, sk_Y22_(sk_Y4_(sk_Y24_, sk_Y24_), sk_Y24_)))) | 36.69/36.90 (![X1]: (~ r1(X1) | ~ r2(X1, sk_Y4_(sk_Y24_, sk_Y24_)))), 36.69/36.90 inference('split', [status(esa)], ['97'])). 36.69/36.90 tff('100', plain, 36.69/36.90 (![X1]: (~ r1(X1) | ~ r2(X1, sk_Y4_(sk_Y24_, sk_Y24_)))) 36.69/36.90 <= ((![X1]: (~ r1(X1) | ~ r2(X1, sk_Y4_(sk_Y24_, sk_Y24_))))), 36.69/36.90 inference('split', [status(esa)], ['97'])). 36.69/36.90 tff('101', plain, 36.69/36.90 (~ r1(sk_Y24_)) 36.69/36.90 <= ((![X1]: (~ r1(X1) | ~ r2(X1, sk_Y4_(sk_Y24_, sk_Y24_))))), 36.69/36.90 inference('s_sup-', [status(thm)], ['47', '100'])). 36.69/36.90 tff('102', plain, ~ (![X1]: (~ r1(X1) | ~ r2(X1, sk_Y4_(sk_Y24_, sk_Y24_)))), 36.69/36.90 inference('s_sup-', [status(thm)], ['5', '101'])). 36.69/36.90 tff('103', plain, 36.69/36.90 (![X0]: (~ r1(X0) | ~ r2(X0, sk_Y22_(sk_Y4_(sk_Y24_, sk_Y24_), sk_Y24_)))), 36.69/36.90 inference('sat_resolution', [status(thm)], ['99', '102'])). 36.69/36.90 tff('104', plain, 36.69/36.90 ![X0]: (~ r1(X0) | ~ r2(X0, sk_Y22_(sk_Y4_(sk_Y24_, sk_Y24_), sk_Y24_))), 36.69/36.90 inference('simpl_trail', [status(thm)], ['98', '103'])). 36.69/36.90 tff('105', plain, 36.69/36.90 ![X0, X1]: (~ r1(X1) | ~ r2(X1, sk_Y22_(sk_Y15_(sk_Y24_, X0), sk_Y24_))), 36.69/36.90 inference('s_sup-', [status(thm)], ['54', '104'])). 36.69/36.90 tff('106', plain, ![X0]: (~ r1(X0) | ~ r2(X0, sk_Y4_(sk_Y24_, sk_Y24_))), 36.69/36.90 inference('s_sup-', [status(thm)], ['52', '105'])). 36.69/36.90 tff('107', plain, ~ r1(sk_Y24_), 36.69/36.90 inference('s_sup-', [status(thm)], ['47', '106'])). 36.69/36.90 tff('108', plain, $false, inference('s_sup-', [status(thm)], ['5', '107'])). 36.69/36.90 36.69/36.90 % SZS output end Refutation 36.69/36.90 % Zipperpin 1.5 exiting 36.69/36.90 EOF