0.07/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.11 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.rLKPX9Qn7C 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 : 1200 0.11/0.32 % DateTime : Tue Jul 13 15:15:40 EDT 2021 0.11/0.32 % CPUTime : 0.11/0.32 % Running portfolio for 120 s 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.11/0.32 % Number of cores: 8 0.11/0.32 % Python version: Python 3.6.8 0.11/0.32 % Running in HO mode 0.46/0.58 % Estimated wc time : 1286 0.46/0.58 % Estimated cpu time (7 cpus) : 183.71428571428572 0.48/0.65 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.49/0.70 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.49/0.71 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.49/0.71 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.49/0.71 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.49/0.71 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 0.49/0.71 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.50/0.80 % /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s 69.32/10.54 % /export/starexec/sandbox/solver/bin/lams/b.sh running for 31s 104.47/15.59 % /export/starexec/sandbox/solver/bin/lams/sh1.sh running for 26s 119.23/17.75 % /export/starexec/sandbox/solver/bin/lams/b.lsimp.sh running for 17s 145.49/21.56 % /export/starexec/sandbox/solver/bin/lams/b.split.sh running for 31s 146.57/21.72 % /export/starexec/sandbox/solver/bin/lams/s4.sh running for 15s 178.83/26.50 % /export/starexec/sandbox/solver/bin/lams/b.rw.sh running for 26s 185.08/27.38 % /export/starexec/sandbox/solver/bin/lams/c_ic.sh running for 42s 233.96/34.55 % /export/starexec/sandbox/solver/bin/lams/s1.f.sh running for 15s 247.64/36.52 % /export/starexec/sandbox/solver/bin/lams/c.preprocess2.sh running for 21s 281.91/41.41 % /export/starexec/sandbox/solver/bin/lams/sh.or.sh running for 26s 318.63/46.68 % Solved by lams/c.preprocess2.sh. 318.63/46.68 % done 29246 iterations in 10.025s 318.63/46.68 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 318.63/46.68 % SZS output start Refutation 318.63/46.68 tff(cTOUGHNUT2, conjecture, 318.63/46.68 (~ 318.63/46.68 ((s(s(s(s(s(s(s(s(c8)))))))) = c8) & 318.63/46.68 (![Xx,Xy]: ((g(Xx,Xy) = c1) <=> (g(s(Xx),Xy) = c3))) & 318.63/46.68 (![Xx,Xy]: ((g(Xx,Xy) = c2) <=> (g(Xx,s(Xy)) = c4))) & (c1 = s(c8)) & 318.63/46.68 (c2 = s(c1)) & 318.63/46.68 (![Xx,Xy]: 318.63/46.68 ((g(Xx,Xy) = c3) | (g(Xx,Xy) = c5) | (g(Xx,Xy) = c4) | 318.63/46.68 (g(Xx,Xy) = c2) | (g(Xx,Xy) = c1))) & 318.63/46.68 (c5 = s(c4)) & (c4 = s(c3)) & (c3 = s(c2)) & 318.63/46.68 (![Xx,Xy]: 318.63/46.68 ((g(Xx,c8) != c2) & (g(Xx,c1) != c4) & (g(c8,Xy) != c1) & 318.63/46.68 (g(c1,Xy) != c3))) & 318.63/46.68 (![Xx,Xy]: 318.63/46.68 ((g(Xx,Xy) = c5) <=> 318.63/46.68 (((Xx = c1) & (Xy = c1)) | ((Xy = c8) & (Xx = c8))))) & 318.63/46.68 (![Xx]: (s(s(s(s(Xx)))) != Xx))))). 318.63/46.68 tff(zf_stmt_0, type, zip_tseitin_2 : ($i * $i) > $o). 318.63/46.68 tff(zf_stmt_1, axiom, 318.63/46.68 (zip_tseitin_2(Xy,Xx) <=> (zip_tseitin_1(Xy,Xx) | zip_tseitin_0(Xy,Xx)))). 318.63/46.68 tff(zf_stmt_2, type, zip_tseitin_1 : ($i * $i) > $o). 318.63/46.68 tff(zf_stmt_3, axiom, (zip_tseitin_1(Xy,Xx) <=> ((Xx = c8) & (Xy = c8)))). 318.63/46.68 tff(zf_stmt_4, type, zip_tseitin_0 : ($i * $i) > $o). 318.63/46.68 tff(zf_stmt_5, axiom, (zip_tseitin_0(Xy,Xx) <=> ((Xy = c1) & (Xx = c1)))). 318.63/46.68 tff(zf_stmt_6, conjecture, 318.63/46.68 (~ 318.63/46.68 ((![Xx]: (s(s(s(s(Xx)))) != Xx)) & 318.63/46.68 (![Xx,Xy]: ((g(Xx,Xy) = c5) <=> zip_tseitin_2(Xy,Xx))) & 318.63/46.68 (![Xx,Xy]: 318.63/46.68 ((g(c1,Xy) != c3) & (g(c8,Xy) != c1) & (g(Xx,c1) != c4) & 318.63/46.68 (g(Xx,c8) != c2))) & 318.63/46.68 (c3 = s(c2)) & (c4 = s(c3)) & (c5 = s(c4)) & 318.63/46.68 (![Xx,Xy]: 318.63/46.68 ((g(Xx,Xy) = c1) | (g(Xx,Xy) = c2) | (g(Xx,Xy) = c4) | 318.63/46.68 (g(Xx,Xy) = c5) | (g(Xx,Xy) = c3))) & 318.63/46.68 (c2 = s(c1)) & (c1 = s(c8)) & 318.63/46.68 (![Xx,Xy]: ((g(Xx,Xy) = c2) <=> (g(Xx,s(Xy)) = c4))) & 318.63/46.68 (![Xx,Xy]: ((g(Xx,Xy) = c1) <=> (g(s(Xx),Xy) = c3))) & 318.63/46.68 (s(s(s(s(s(s(s(s(c8)))))))) = c8)))). 318.63/46.68 tff(zf_stmt_7, negated_conjecture, 318.63/46.68 ((![Xx]: (s(s(s(s(Xx)))) != Xx)) & 318.63/46.68 (![Xx,Xy]: ((g(Xx,Xy) = c5) <=> zip_tseitin_2(Xy,Xx))) & 318.63/46.68 (![Xx,Xy]: 318.63/46.68 ((g(c1,Xy) != c3) & (g(c8,Xy) != c1) & (g(Xx,c1) != c4) & 318.63/46.68 (g(Xx,c8) != c2))) & 318.63/46.68 (c3 = s(c2)) & (c4 = s(c3)) & (c5 = s(c4)) & 318.63/46.68 (![Xx,Xy]: 318.63/46.68 ((g(Xx,Xy) = c1) | (g(Xx,Xy) = c2) | (g(Xx,Xy) = c4) | 318.63/46.68 (g(Xx,Xy) = c5) | (g(Xx,Xy) = c3))) & 318.63/46.68 (c2 = s(c1)) & (c1 = s(c8)) & 318.63/46.68 (![Xx,Xy]: ((g(Xx,Xy) = c2) <=> (g(Xx,s(Xy)) = c4))) & 318.63/46.68 (![Xx,Xy]: ((g(Xx,Xy) = c1) <=> (g(s(Xx),Xy) = c3))) & 318.63/46.68 (s(s(s(s(s(s(s(s(c8)))))))) = c8))). 318.63/46.68 tff('0', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('1', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('2', plain, 318.63/46.68 ![X8, X9]: 318.63/46.68 (g(X8, X9) = c1 318.63/46.68 | g(X8, X9) = c2 318.63/46.68 | g(X8, X9) = c4 318.63/46.68 | g(X8, X9) = c5 318.63/46.68 | g(X8, X9) = c3), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('3', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('4', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 (c1 != c1 318.63/46.68 | g(X1, X0) = c3 318.63/46.68 | g(X1, X0) = c5 318.63/46.68 | g(X1, X0) = c4 318.63/46.68 | g(X1, X0) = c2 318.63/46.68 | g(s(X1), X0) = c3), 318.63/46.68 inference('sup-', [status(thm)], ['2', '3'])). 318.63/46.68 tff('5', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 (g(s(X1), X0) = c3 318.63/46.68 | g(X1, X0) = c2 318.63/46.68 | g(X1, X0) = c4 318.63/46.68 | g(X1, X0) = c5 318.63/46.68 | g(X1, X0) = c3), 318.63/46.68 inference('simplify', [status(thm)], ['4'])). 318.63/46.68 tff('6', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c4, X0) = c3 318.63/46.68 | g(c3, X0) = c3 318.63/46.68 | g(c3, X0) = c5 318.63/46.68 | g(c3, X0) = c4 318.63/46.68 | g(c3, X0) = c2), 318.63/46.68 inference('sup+', [status(thm)], ['1', '5'])). 318.63/46.68 tff('7', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('8', plain, 318.63/46.68 ![X0]: 318.63/46.68 (c2 != c2 318.63/46.68 | g(c3, X0) = c4 318.63/46.68 | g(c3, X0) = c5 318.63/46.68 | g(c3, X0) = c3 318.63/46.68 | g(c4, X0) = c3 318.63/46.68 | g(c3, s(X0)) = c4), 318.63/46.68 inference('sup-', [status(thm)], ['6', '7'])). 318.63/46.68 tff('9', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c3, s(X0)) = c4 318.63/46.68 | g(c4, X0) = c3 318.63/46.68 | g(c3, X0) = c3 318.63/46.68 | g(c3, X0) = c5 318.63/46.68 | g(c3, X0) = c4), 318.63/46.68 inference('simplify', [status(thm)], ['8'])). 318.63/46.68 tff('10', plain, 318.63/46.68 (g(c3, c4) = c4 318.63/46.68 | g(c3, c3) = c4 318.63/46.68 | g(c3, c3) = c5 318.63/46.68 | g(c3, c3) = c3 318.63/46.68 | g(c4, c3) = c3), 318.63/46.68 inference('sup+', [status(thm)], ['0', '9'])). 318.63/46.68 tff('11', plain, 318.63/46.68 (g(c4, c3) = c3) | (g(c3, c4) = c4) | (g(c3, c3) = c4) | 318.63/46.68 (g(c3, c3) = c5) | (g(c3, c3) = c3), 318.63/46.68 inference('split', [status(esa)], ['10'])). 318.63/46.68 tff('12', plain, 318.63/46.68 ![X8, X9]: 318.63/46.68 (g(X8, X9) = c1 318.63/46.68 | g(X8, X9) = c2 318.63/46.68 | g(X8, X9) = c4 318.63/46.68 | g(X8, X9) = c5 318.63/46.68 | g(X8, X9) = c3), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('13', plain, ![X12]: g(c8, X12) != c1, 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('14', plain, 318.63/46.68 ![X0]: 318.63/46.68 (c1 != c1 318.63/46.68 | g(c8, X0) = c3 318.63/46.68 | g(c8, X0) = c5 318.63/46.68 | g(c8, X0) = c4 318.63/46.68 | g(c8, X0) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['12', '13'])). 318.63/46.68 tff('15', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c8, X0) = c2 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.68 inference('simplify', [status(thm)], ['14'])). 318.63/46.68 tff('16', plain, ![X0, X1]: ( zip_tseitin_0(X0, X1) | X1 != c1 | X0 != c1), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.68 tff('17', plain, zip_tseitin_0(c1, c1), 318.63/46.68 inference('simplify', [status(thm)], ['16'])). 318.63/46.68 tff('18', plain, 318.63/46.68 ![X0, X1]: ( zip_tseitin_2(X0, X1) | ~ zip_tseitin_0(X0, X1)), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.68 tff('19', plain, zip_tseitin_2(c1, c1), 318.63/46.68 inference('sup-', [status(thm)], ['17', '18'])). 318.63/46.68 tff('20', plain, ![X13, X14]: (g(X13, X14) = c5 | ~ zip_tseitin_2(X14, X13)), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('21', plain, g(c1, c1) = c5, 318.63/46.68 inference('sup-', [status(thm)], ['19', '20'])). 318.63/46.68 tff('22', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('23', plain, (c5 != c1 | g(s(c1), c1) = c3), 318.63/46.68 inference('sup-', [status(thm)], ['21', '22'])). 318.63/46.68 tff('24', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('25', plain, (c5 != c1 | g(c2, c1) = c3), 318.63/46.68 inference('demod', [status(thm)], ['23', '24'])). 318.63/46.68 tff('26', plain, (g(c2, c1) = c3) <= ((g(c2, c1) = c3)), 318.63/46.68 inference('split', [status(esa)], ['25'])). 318.63/46.68 tff('27', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('28', plain, ((c3 != c1 | g(s(c2), c1) = c3)) <= ((g(c2, c1) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['26', '27'])). 318.63/46.68 tff('29', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('30', plain, ((c3 != c1 | g(c3, c1) = c3)) <= ((g(c2, c1) = c3)), 318.63/46.68 inference('demod', [status(thm)], ['28', '29'])). 318.63/46.68 tff('31', plain, (g(c3, c1) = c3) <= ((g(c3, c1) = c3)), 318.63/46.68 inference('split', [status(esa)], ['30'])). 318.63/46.68 tff('32', plain, ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('33', plain, ((c3 != c5 | zip_tseitin_2(c1, c3))) <= ((g(c3, c1) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['31', '32'])). 318.63/46.68 tff('34', plain, ( zip_tseitin_2(c1, c3)) <= (( zip_tseitin_2(c1, c3))), 318.63/46.68 inference('split', [status(esa)], ['33'])). 318.63/46.68 tff('35', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 ( zip_tseitin_0(X0, X1) 318.63/46.68 | zip_tseitin_1(X0, X1) 318.63/46.68 | ~ zip_tseitin_2(X0, X1)), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.68 tff('36', plain, 318.63/46.68 (( zip_tseitin_1(c1, c3) | zip_tseitin_0(c1, c3))) 318.63/46.68 <= (( zip_tseitin_2(c1, c3))), 318.63/46.68 inference('sup-', [status(thm)], ['34', '35'])). 318.63/46.68 tff('37', plain, ( zip_tseitin_1(c1, c3)) <= (( zip_tseitin_1(c1, c3))), 318.63/46.68 inference('split', [status(esa)], ['36'])). 318.63/46.68 tff('38', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.68 tff('39', plain, (c3 = c8) <= (( zip_tseitin_1(c1, c3))), 318.63/46.68 inference('sup-', [status(thm)], ['37', '38'])). 318.63/46.68 tff('40', plain, ![X10]: g(X10, c8) != c2, 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('41', plain, (![X0]: g(X0, c3) != c2) <= (( zip_tseitin_1(c1, c3))), 318.63/46.68 inference('sup-', [status(thm)], ['39', '40'])). 318.63/46.68 tff('42', plain, 318.63/46.68 ((c2 != c2 | g(c8, c3) = c3 | g(c8, c3) = c5 | g(c8, c3) = c4)) 318.63/46.68 <= (( zip_tseitin_1(c1, c3))), 318.63/46.68 inference('sup-', [status(thm)], ['15', '41'])). 318.63/46.68 tff('43', plain, (c3 = c8) <= (( zip_tseitin_1(c1, c3))), 318.63/46.68 inference('sup-', [status(thm)], ['37', '38'])). 318.63/46.68 tff('44', plain, (c3 = c8) <= (( zip_tseitin_1(c1, c3))), 318.63/46.68 inference('sup-', [status(thm)], ['37', '38'])). 318.63/46.68 tff('45', plain, (c3 = c8) <= (( zip_tseitin_1(c1, c3))), 318.63/46.68 inference('sup-', [status(thm)], ['37', '38'])). 318.63/46.68 tff('46', plain, 318.63/46.68 ((c2 != c2 | g(c3, c3) = c3 | g(c3, c3) = c5 | g(c3, c3) = c4)) 318.63/46.68 <= (( zip_tseitin_1(c1, c3))), 318.63/46.68 inference('demod', [status(thm)], ['42', '43', '44', '45'])). 318.63/46.68 tff('47', plain, 318.63/46.68 ((g(c3, c3) = c4 | g(c3, c3) = c5 | g(c3, c3) = c3)) 318.63/46.68 <= (( zip_tseitin_1(c1, c3))), 318.63/46.68 inference('simplify', [status(thm)], ['46'])). 318.63/46.68 tff('48', plain, (g(c3, c3) = c4) <= ((g(c3, c3) = c4)), 318.63/46.68 inference('split', [status(esa)], ['47'])). 318.63/46.68 tff('49', plain, ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('50', plain, ((c4 != c5 | zip_tseitin_2(c3, c3))) <= ((g(c3, c3) = c4)), 318.63/46.68 inference('sup-', [status(thm)], ['48', '49'])). 318.63/46.68 tff('51', plain, ( zip_tseitin_2(c3, c3)) <= (( zip_tseitin_2(c3, c3))), 318.63/46.68 inference('split', [status(esa)], ['50'])). 318.63/46.68 tff('52', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 ( zip_tseitin_0(X0, X1) 318.63/46.68 | zip_tseitin_1(X0, X1) 318.63/46.68 | ~ zip_tseitin_2(X0, X1)), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.68 tff('53', plain, 318.63/46.68 (( zip_tseitin_1(c3, c3) | zip_tseitin_0(c3, c3))) 318.63/46.68 <= (( zip_tseitin_2(c3, c3))), 318.63/46.68 inference('sup-', [status(thm)], ['51', '52'])). 318.63/46.68 tff('54', plain, ( zip_tseitin_0(c3, c3)) <= (( zip_tseitin_0(c3, c3))), 318.63/46.68 inference('split', [status(esa)], ['53'])). 318.63/46.68 tff('55', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.68 tff('56', plain, (c3 = c1) <= (( zip_tseitin_0(c3, c3))), 318.63/46.68 inference('sup-', [status(thm)], ['54', '55'])). 318.63/46.68 tff('57', plain, (c3 != c1) <= (~ (c3 = c1)), 318.63/46.68 inference('split', [status(esa)], ['30'])). 318.63/46.68 tff('58', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 (g(s(X1), X0) = c3 318.63/46.68 | g(X1, X0) = c2 318.63/46.68 | g(X1, X0) = c4 318.63/46.68 | g(X1, X0) = c5 318.63/46.68 | g(X1, X0) = c3), 318.63/46.68 inference('simplify', [status(thm)], ['4'])). 318.63/46.68 tff('59', plain, ![X0, X1]: ( zip_tseitin_1(X0, X1) | X0 != c8 | X1 != c8), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.68 tff('60', plain, zip_tseitin_1(c8, c8), 318.63/46.68 inference('simplify', [status(thm)], ['59'])). 318.63/46.68 tff('61', plain, 318.63/46.68 ![X0, X1]: ( zip_tseitin_2(X0, X1) | ~ zip_tseitin_1(X0, X1)), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.68 tff('62', plain, zip_tseitin_2(c8, c8), 318.63/46.68 inference('sup-', [status(thm)], ['60', '61'])). 318.63/46.68 tff('63', plain, ![X13, X14]: (g(X13, X14) = c5 | ~ zip_tseitin_2(X14, X13)), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('64', plain, g(c8, c8) = c5, 318.63/46.68 inference('sup-', [status(thm)], ['62', '63'])). 318.63/46.68 tff('65', plain, s(s(s(s(s(s(s(s(c8)))))))) = c8, 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('66', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('67', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('68', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('69', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('70', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('71', plain, s(s(s(c5))) = c8, 318.63/46.68 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.68 tff('72', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('73', plain, ![X0]: (g(c8, X0) != c3 | g(s(s(c5)), X0) = c1), 318.63/46.68 inference('sup-', [status(thm)], ['71', '72'])). 318.63/46.68 tff('74', plain, (c5 != c3 | g(s(s(c5)), c8) = c1), 318.63/46.68 inference('sup-', [status(thm)], ['64', '73'])). 318.63/46.68 tff('75', plain, (g(s(s(c5)), c8) = c1) <= ((g(s(s(c5)), c8) = c1)), 318.63/46.68 inference('split', [status(esa)], ['74'])). 318.63/46.68 tff('76', plain, 318.63/46.68 ((c3 = c1 318.63/46.68 | g(s(c5), c8) = c3 318.63/46.68 | g(s(c5), c8) = c5 318.63/46.68 | g(s(c5), c8) = c4 318.63/46.68 | g(s(c5), c8) = c2)) <= ((g(s(s(c5)), c8) = c1)), 318.63/46.68 inference('sup+', [status(thm)], ['58', '75'])). 318.63/46.68 tff('77', plain, ![X10]: g(X10, c8) != c2, 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('78', plain, 318.63/46.68 ((c3 = c1 | g(s(c5), c8) = c3 | g(s(c5), c8) = c5 | g(s(c5), c8) = c4)) 318.63/46.68 <= ((g(s(s(c5)), c8) = c1)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['76', '77'])). 318.63/46.68 tff('79', plain, (c3 = c1) <= ((c3 = c1)), 318.63/46.68 inference('split', [status(esa)], ['78'])). 318.63/46.68 tff('80', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('81', plain, (c2 = s(c3)) <= ((c3 = c1)), 318.63/46.68 inference('sup+', [status(thm)], ['79', '80'])). 318.63/46.68 tff('82', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('83', plain, (s(s(s(c2))) != c3) <= ((c3 = c1)), 318.63/46.68 inference('sup-', [status(thm)], ['81', '82'])). 318.63/46.68 tff('84', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('85', plain, (c2 = s(c3)) <= ((c3 = c1)), 318.63/46.68 inference('sup+', [status(thm)], ['79', '80'])). 318.63/46.68 tff('86', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('87', plain, (c3 != c3) <= ((c3 = c1)), 318.63/46.68 inference('demod', [status(thm)], ['83', '84', '85', '86'])). 318.63/46.68 tff('88', plain, ~ (c3 = c1), inference('simplify', [status(thm)], ['87'])). 318.63/46.68 tff('89', plain, ~ (c3 = c1), 318.63/46.68 inference('sat_resolution*', [status(thm)], ['88'])). 318.63/46.68 tff('90', plain, c3 != c1, 318.63/46.68 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.68 tff('91', plain, ~ ( zip_tseitin_0(c3, c3)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['56', '90'])). 318.63/46.68 tff('92', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('93', plain, ( zip_tseitin_1(c3, c3)) <= (( zip_tseitin_1(c3, c3))), 318.63/46.68 inference('split', [status(esa)], ['53'])). 318.63/46.68 tff('94', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.68 tff('95', plain, (c3 = c8) <= (( zip_tseitin_1(c3, c3))), 318.63/46.68 inference('sup-', [status(thm)], ['93', '94'])). 318.63/46.68 tff('96', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('97', plain, (c1 = s(c3)) <= (( zip_tseitin_1(c3, c3))), 318.63/46.68 inference('sup+', [status(thm)], ['95', '96'])). 318.63/46.68 tff('98', plain, (c1 = c4) <= (( zip_tseitin_1(c3, c3))), 318.63/46.68 inference('sup+', [status(thm)], ['92', '97'])). 318.63/46.68 tff('99', plain, g(c1, c1) = c5, 318.63/46.68 inference('sup-', [status(thm)], ['19', '20'])). 318.63/46.68 tff('100', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('101', plain, (c5 != c2 | g(c1, s(c1)) = c4), 318.63/46.68 inference('sup-', [status(thm)], ['99', '100'])). 318.63/46.68 tff('102', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('103', plain, (c5 != c2 | g(c1, c2) = c4), 318.63/46.68 inference('demod', [status(thm)], ['101', '102'])). 318.63/46.68 tff('104', plain, (g(c1, c2) = c4) <= ((g(c1, c2) = c4)), 318.63/46.68 inference('split', [status(esa)], ['103'])). 318.63/46.68 tff('105', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('106', plain, ((c4 != c1 | g(s(c1), c2) = c3)) <= ((g(c1, c2) = c4)), 318.63/46.68 inference('sup-', [status(thm)], ['104', '105'])). 318.63/46.68 tff('107', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('108', plain, ((c4 != c1 | g(c2, c2) = c3)) <= ((g(c1, c2) = c4)), 318.63/46.68 inference('demod', [status(thm)], ['106', '107'])). 318.63/46.68 tff('109', plain, (c4 != c1) <= (~ (c4 = c1)), 318.63/46.68 inference('split', [status(esa)], ['108'])). 318.63/46.68 tff('110', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('111', plain, s(s(s(c5))) = c8, 318.63/46.68 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.68 tff('112', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 (g(s(X1), X0) = c3 318.63/46.68 | g(X1, X0) = c2 318.63/46.68 | g(X1, X0) = c4 318.63/46.68 | g(X1, X0) = c5 318.63/46.68 | g(X1, X0) = c3), 318.63/46.68 inference('simplify', [status(thm)], ['4'])). 318.63/46.68 tff('113', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c8, X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(s(s(c5)), X0) = c4 318.63/46.68 | g(s(s(c5)), X0) = c2), 318.63/46.68 inference('sup+', [status(thm)], ['111', '112'])). 318.63/46.68 tff('114', plain, g(c8, c8) = c5, 318.63/46.68 inference('sup-', [status(thm)], ['62', '63'])). 318.63/46.68 tff('115', plain, s(s(s(c5))) = c8, 318.63/46.68 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.68 tff('116', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('117', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.68 tff('118', plain, (c5 != c4 | g(c8, s(s(c5))) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['114', '117'])). 318.63/46.68 tff('119', plain, (g(c8, s(s(c5))) = c2) <= ((g(c8, s(s(c5))) = c2)), 318.63/46.68 inference('split', [status(esa)], ['118'])). 318.63/46.68 tff('120', plain, ![X0]: (g(c8, X0) != c3 | g(s(s(c5)), X0) = c1), 318.63/46.68 inference('sup-', [status(thm)], ['71', '72'])). 318.63/46.68 tff('121', plain, 318.63/46.68 ((c2 != c3 | g(s(s(c5)), s(s(c5))) = c1)) <= ((g(c8, s(s(c5))) = c2)), 318.63/46.68 inference('sup-', [status(thm)], ['119', '120'])). 318.63/46.68 tff('122', plain, 318.63/46.68 (g(s(s(c5)), s(s(c5))) = c1) <= ((g(s(s(c5)), s(s(c5))) = c1)), 318.63/46.68 inference('split', [status(esa)], ['121'])). 318.63/46.68 tff('123', plain, 318.63/46.68 ((c2 = c1 318.63/46.68 | g(s(s(c5)), s(s(c5))) = c4 318.63/46.68 | g(s(s(c5)), s(s(c5))) = c5 318.63/46.68 | g(s(s(c5)), s(s(c5))) = c3 318.63/46.68 | g(c8, s(s(c5))) = c3)) <= ((g(s(s(c5)), s(s(c5))) = c1)), 318.63/46.68 inference('sup+', [status(thm)], ['113', '122'])). 318.63/46.68 tff('124', plain, 318.63/46.68 (g(s(s(c5)), s(s(c5))) = c1) <= ((g(s(s(c5)), s(s(c5))) = c1)), 318.63/46.68 inference('split', [status(esa)], ['121'])). 318.63/46.68 tff('125', plain, 318.63/46.68 (g(s(s(c5)), s(s(c5))) = c1) <= ((g(s(s(c5)), s(s(c5))) = c1)), 318.63/46.68 inference('split', [status(esa)], ['121'])). 318.63/46.68 tff('126', plain, 318.63/46.68 ((c2 = c1 318.63/46.68 | c1 = c4 318.63/46.68 | c1 = c5 318.63/46.68 | g(s(s(c5)), s(s(c5))) = c3 318.63/46.68 | g(c8, s(s(c5))) = c3)) <= ((g(s(s(c5)), s(s(c5))) = c1)), 318.63/46.68 inference('demod', [status(thm)], ['123', '124', '125'])). 318.63/46.68 tff('127', plain, s(s(s(c5))) = c8, 318.63/46.68 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.68 tff('128', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('129', plain, s(c8) != c5, 318.63/46.68 inference('sup-', [status(thm)], ['127', '128'])). 318.63/46.68 tff('130', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('131', plain, c1 != c5, inference('demod', [status(thm)], ['129', '130'])). 318.63/46.68 tff('132', plain, (g(c3, c1) = c3) <= ((g(c3, c1) = c3)), 318.63/46.68 inference('split', [status(esa)], ['30'])). 318.63/46.68 tff('133', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('134', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('135', plain, ![X0]: (g(c3, X0) != c3 | g(c2, X0) = c1), 318.63/46.68 inference('sup-', [status(thm)], ['133', '134'])). 318.63/46.68 tff('136', plain, ((c3 != c3 | g(c2, c1) = c1)) <= ((g(c3, c1) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['132', '135'])). 318.63/46.68 tff('137', plain, (g(c2, c1) = c1) <= ((g(c3, c1) = c3)), 318.63/46.68 inference('simplify', [status(thm)], ['136'])). 318.63/46.68 tff('138', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('139', plain, ((c1 != c2 | g(c2, s(c1)) = c4)) <= ((g(c3, c1) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['137', '138'])). 318.63/46.68 tff('140', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('141', plain, ((c1 != c2 | g(c2, c2) = c4)) <= ((g(c3, c1) = c3)), 318.63/46.68 inference('demod', [status(thm)], ['139', '140'])). 318.63/46.68 tff('142', plain, (c1 != c2) <= (~ (c1 = c2)), 318.63/46.68 inference('split', [status(esa)], ['141'])). 318.63/46.68 tff('143', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('144', plain, 318.63/46.68 ![X8, X9]: 318.63/46.68 (g(X8, X9) = c1 318.63/46.68 | g(X8, X9) = c2 318.63/46.68 | g(X8, X9) = c4 318.63/46.68 | g(X8, X9) = c5 318.63/46.68 | g(X8, X9) = c3), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('145', plain, (g(c8, s(s(c5))) = c2) <= ((g(c8, s(s(c5))) = c2)), 318.63/46.68 inference('split', [status(esa)], ['118'])). 318.63/46.68 tff('146', plain, 318.63/46.68 ((c1 = c2 318.63/46.68 | g(c8, s(s(c5))) = c3 318.63/46.68 | g(c8, s(s(c5))) = c5 318.63/46.68 | g(c8, s(s(c5))) = c4 318.63/46.68 | g(c8, s(s(c5))) = c2)) <= ((g(c8, s(s(c5))) = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['144', '145'])). 318.63/46.68 tff('147', plain, (g(c8, s(s(c5))) = c2) <= ((g(c8, s(s(c5))) = c2)), 318.63/46.68 inference('split', [status(esa)], ['118'])). 318.63/46.68 tff('148', plain, (g(c8, s(s(c5))) = c2) <= ((g(c8, s(s(c5))) = c2)), 318.63/46.68 inference('split', [status(esa)], ['118'])). 318.63/46.68 tff('149', plain, (g(c8, s(s(c5))) = c2) <= ((g(c8, s(s(c5))) = c2)), 318.63/46.68 inference('split', [status(esa)], ['118'])). 318.63/46.68 tff('150', plain, 318.63/46.68 ((c1 = c2 | c2 = c3 | c2 = c5 | c2 = c4 | g(c8, s(s(c5))) = c2)) 318.63/46.68 <= ((g(c8, s(s(c5))) = c2)), 318.63/46.68 inference('demod', [status(thm)], ['146', '147', '148', '149'])). 318.63/46.68 tff('151', plain, g(c8, c8) = c5, 318.63/46.68 inference('sup-', [status(thm)], ['62', '63'])). 318.63/46.68 tff('152', plain, ![X10]: g(X10, c8) != c2, 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('153', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.68 tff('154', plain, 318.63/46.68 ((c1 = c2 | c2 = c3 | c2 = c4 | g(c8, s(s(c5))) = c2)) 318.63/46.68 <= ((g(c8, s(s(c5))) = c2)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['150', '153'])). 318.63/46.68 tff('155', plain, (c1 = c2) <= ((c1 = c2)), 318.63/46.68 inference('split', [status(esa)], ['154'])). 318.63/46.68 tff('156', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('157', plain, (c2 = s(c2)) <= ((c1 = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['155', '156'])). 318.63/46.68 tff('158', plain, (c2 = c3) <= ((c1 = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['143', '157'])). 318.63/46.68 tff('159', plain, (c1 = c2) <= ((c1 = c2)), 318.63/46.68 inference('split', [status(esa)], ['154'])). 318.63/46.68 tff('160', plain, c3 != c1, 318.63/46.68 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.68 tff('161', plain, (c3 != c2) <= ((c1 = c2)), 318.63/46.68 inference('sup-', [status(thm)], ['159', '160'])). 318.63/46.68 tff('162', plain, ~ (c1 = c2), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['158', '161'])). 318.63/46.68 tff('163', plain, ~ (c1 = c2), 318.63/46.68 inference('sat_resolution*', [status(thm)], ['162'])). 318.63/46.68 tff('164', plain, c1 != c2, 318.63/46.68 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.68 tff('165', plain, 318.63/46.68 ((c1 = c4 | g(s(s(c5)), s(s(c5))) = c3 | g(c8, s(s(c5))) = c3)) 318.63/46.68 <= ((g(s(s(c5)), s(s(c5))) = c1)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['126', '131', '164'])). 318.63/46.68 tff('166', plain, (c1 = c4) <= ((c4 = c1)), 318.63/46.68 inference('split', [status(esa)], ['165'])). 318.63/46.68 tff('167', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('168', plain, (c2 = s(c4)) <= ((c4 = c1)), 318.63/46.68 inference('sup+', [status(thm)], ['166', '167'])). 318.63/46.68 tff('169', plain, (c2 = c5) <= ((c4 = c1)), 318.63/46.68 inference('sup+', [status(thm)], ['110', '168'])). 318.63/46.68 tff('170', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.68 tff('171', plain, ~ (c4 = c1), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['169', '170'])). 318.63/46.68 tff('172', plain, ~ (c4 = c1), 318.63/46.68 inference('sat_resolution*', [status(thm)], ['171'])). 318.63/46.68 tff('173', plain, c4 != c1, 318.63/46.68 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.68 tff('174', plain, ~ ( zip_tseitin_1(c3, c3)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['98', '173'])). 318.63/46.68 tff('175', plain, (g(c3, c3) = c5) <= ((g(c3, c3) = c5)), 318.63/46.68 inference('split', [status(esa)], ['47'])). 318.63/46.68 tff('176', plain, 318.63/46.68 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('177', plain, 318.63/46.68 ((c5 != c5 | zip_tseitin_2(c3, c3))) <= ((g(c3, c3) = c5)), 318.63/46.68 inference('sup-', [status(thm)], ['175', '176'])). 318.63/46.68 tff('178', plain, ( zip_tseitin_2(c3, c3)) <= ((g(c3, c3) = c5)), 318.63/46.68 inference('simplify', [status(thm)], ['177'])). 318.63/46.68 tff('179', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 ( zip_tseitin_0(X0, X1) 318.63/46.68 | zip_tseitin_1(X0, X1) 318.63/46.68 | ~ zip_tseitin_2(X0, X1)), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.68 tff('180', plain, 318.63/46.68 (( zip_tseitin_1(c3, c3) | zip_tseitin_0(c3, c3))) <= ((g(c3, c3) = c5)), 318.63/46.68 inference('sup-', [status(thm)], ['178', '179'])). 318.63/46.68 tff('181', plain, 318.63/46.68 ~ (g(c3, c3) = c5) | ( zip_tseitin_1(c3, c3)) | ( zip_tseitin_0(c3, c3)), 318.63/46.68 inference('split', [status(esa)], ['180'])). 318.63/46.68 tff('182', plain, (g(s(c5), c8) = c3) <= ((g(s(c5), c8) = c3)), 318.63/46.68 inference('split', [status(esa)], ['78'])). 318.63/46.68 tff('183', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.68 tff('184', plain, 318.63/46.68 ((c3 != c4 | g(s(c5), s(s(c5))) = c2)) <= ((g(s(c5), c8) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['182', '183'])). 318.63/46.68 tff('185', plain, (g(s(c5), s(s(c5))) = c2) <= ((g(s(c5), s(s(c5))) = c2)), 318.63/46.68 inference('split', [status(esa)], ['184'])). 318.63/46.68 tff('186', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 (g(s(X1), X0) = c3 318.63/46.68 | g(X1, X0) = c2 318.63/46.68 | g(X1, X0) = c4 318.63/46.68 | g(X1, X0) = c5 318.63/46.68 | g(X1, X0) = c3), 318.63/46.68 inference('simplify', [status(thm)], ['4'])). 318.63/46.68 tff('187', plain, (g(s(s(c5)), c8) = c1) <= ((g(s(s(c5)), c8) = c1)), 318.63/46.68 inference('split', [status(esa)], ['74'])). 318.63/46.68 tff('188', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.68 tff('189', plain, 318.63/46.68 ((c1 != c4 | g(s(s(c5)), s(s(c5))) = c2)) <= ((g(s(s(c5)), c8) = c1)), 318.63/46.68 inference('sup-', [status(thm)], ['187', '188'])). 318.63/46.68 tff('190', plain, 318.63/46.68 (g(s(s(c5)), s(s(c5))) = c2) <= ((g(s(s(c5)), s(s(c5))) = c2)), 318.63/46.68 inference('split', [status(esa)], ['189'])). 318.63/46.68 tff('191', plain, 318.63/46.68 ((c3 = c2 318.63/46.68 | g(s(c5), s(s(c5))) = c3 318.63/46.68 | g(s(c5), s(s(c5))) = c5 318.63/46.68 | g(s(c5), s(s(c5))) = c4 318.63/46.68 | g(s(c5), s(s(c5))) = c2)) <= ((g(s(s(c5)), s(s(c5))) = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['186', '190'])). 318.63/46.68 tff('192', plain, (g(c2, c1) = c3) <= ((g(c2, c1) = c3)), 318.63/46.68 inference('split', [status(esa)], ['25'])). 318.63/46.68 tff('193', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('194', plain, ((c3 != c2 | g(c2, s(c1)) = c4)) <= ((g(c2, c1) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['192', '193'])). 318.63/46.68 tff('195', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('196', plain, ((c3 != c2 | g(c2, c2) = c4)) <= ((g(c2, c1) = c3)), 318.63/46.68 inference('demod', [status(thm)], ['194', '195'])). 318.63/46.68 tff('197', plain, (c3 != c2) <= (~ (c3 = c2)), 318.63/46.68 inference('split', [status(esa)], ['196'])). 318.63/46.68 tff('198', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('199', plain, (c2 = c3) <= ((c3 = c2)), 318.63/46.68 inference('split', [status(esa)], ['154'])). 318.63/46.68 tff('200', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('201', plain, (c3 = s(c3)) <= ((c3 = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['199', '200'])). 318.63/46.68 tff('202', plain, (c3 = c4) <= ((c3 = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['198', '201'])). 318.63/46.68 tff('203', plain, (c2 = c3) <= ((c3 = c2)), 318.63/46.68 inference('split', [status(esa)], ['154'])). 318.63/46.68 tff('204', plain, (g(c1, c2) = c4) <= ((g(c1, c2) = c4)), 318.63/46.68 inference('split', [status(esa)], ['103'])). 318.63/46.68 tff('205', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('206', plain, ((c4 != c2 | g(c1, s(c2)) = c4)) <= ((g(c1, c2) = c4)), 318.63/46.68 inference('sup-', [status(thm)], ['204', '205'])). 318.63/46.68 tff('207', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('208', plain, ((c4 != c2 | g(c1, c3) = c4)) <= ((g(c1, c2) = c4)), 318.63/46.68 inference('demod', [status(thm)], ['206', '207'])). 318.63/46.68 tff('209', plain, (c4 != c2) <= (~ (c4 = c2)), 318.63/46.68 inference('split', [status(esa)], ['208'])). 318.63/46.68 tff('210', plain, (c4 != c3) <= (~ (c4 = c2) & (c3 = c2)), 318.63/46.68 inference('sup-', [status(thm)], ['203', '209'])). 318.63/46.68 tff('211', plain, (c2 = c4) <= ((c4 = c2)), 318.63/46.68 inference('split', [status(esa)], ['154'])). 318.63/46.68 tff('212', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('213', plain, (c3 = s(c4)) <= ((c4 = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['211', '212'])). 318.63/46.68 tff('214', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('215', plain, (s(s(s(c3))) != c4) <= ((c4 = c2)), 318.63/46.68 inference('sup-', [status(thm)], ['213', '214'])). 318.63/46.68 tff('216', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('217', plain, (c3 = s(c4)) <= ((c4 = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['211', '212'])). 318.63/46.68 tff('218', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('219', plain, (c4 != c4) <= ((c4 = c2)), 318.63/46.68 inference('demod', [status(thm)], ['215', '216', '217', '218'])). 318.63/46.68 tff('220', plain, ~ (c4 = c2), inference('simplify', [status(thm)], ['219'])). 318.63/46.68 tff('221', plain, ~ (c4 = c2), 318.63/46.68 inference('sat_resolution*', [status(thm)], ['220'])). 318.63/46.68 tff('222', plain, (c4 != c3) <= ((c3 = c2)), 318.63/46.68 inference('simpl_trail', [status(thm)], ['210', '221'])). 318.63/46.68 tff('223', plain, ~ (c3 = c2), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['202', '222'])). 318.63/46.68 tff('224', plain, ~ (c3 = c2), 318.63/46.68 inference('sat_resolution*', [status(thm)], ['223'])). 318.63/46.68 tff('225', plain, c3 != c2, 318.63/46.68 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.68 tff('226', plain, 318.63/46.68 ((g(s(c5), s(s(c5))) = c3 318.63/46.68 | g(s(c5), s(s(c5))) = c5 318.63/46.68 | g(s(c5), s(s(c5))) = c4 318.63/46.68 | g(s(c5), s(s(c5))) = c2)) <= ((g(s(s(c5)), s(s(c5))) = c2)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['191', '225'])). 318.63/46.68 tff('227', plain, (g(s(c5), s(s(c5))) = c4) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.68 inference('split', [status(esa)], ['226'])). 318.63/46.68 tff('228', plain, 318.63/46.68 (c2 = c4) <= ((g(s(c5), s(s(c5))) = c2) & (g(s(c5), s(s(c5))) = c4)), 318.63/46.68 inference('sup+', [status(thm)], ['185', '227'])). 318.63/46.68 tff('229', plain, (c4 != c2) <= (~ (c4 = c2)), 318.63/46.68 inference('split', [status(esa)], ['208'])). 318.63/46.68 tff('230', plain, ~ (c4 = c2), 318.63/46.68 inference('sat_resolution*', [status(thm)], ['220'])). 318.63/46.68 tff('231', plain, c4 != c2, 318.63/46.68 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.68 tff('232', plain, ~ (g(s(c5), s(s(c5))) = c2) | ~ (g(s(c5), s(s(c5))) = c4), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['228', '231'])). 318.63/46.68 tff('233', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 (g(s(X1), X0) = c3 318.63/46.68 | g(X1, X0) = c2 318.63/46.68 | g(X1, X0) = c4 318.63/46.68 | g(X1, X0) = c5 318.63/46.68 | g(X1, X0) = c3), 318.63/46.68 inference('simplify', [status(thm)], ['4'])). 318.63/46.68 tff('234', plain, 318.63/46.68 (g(s(s(c5)), s(s(c5))) = c2) <= ((g(s(s(c5)), s(s(c5))) = c2)), 318.63/46.68 inference('split', [status(esa)], ['189'])). 318.63/46.68 tff('235', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('236', plain, 318.63/46.68 ((c2 != c4 | g(s(s(c5)), s(c5)) = c2)) <= ((g(s(s(c5)), s(s(c5))) = c2)), 318.63/46.68 inference('sup-', [status(thm)], ['234', '235'])). 318.63/46.68 tff('237', plain, (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(c5)) = c2)), 318.63/46.68 inference('split', [status(esa)], ['236'])). 318.63/46.68 tff('238', plain, 318.63/46.68 ((c3 = c2 318.63/46.68 | g(s(c5), s(c5)) = c3 318.63/46.68 | g(s(c5), s(c5)) = c5 318.63/46.68 | g(s(c5), s(c5)) = c4 318.63/46.68 | g(s(c5), s(c5)) = c2)) <= ((g(s(s(c5)), s(c5)) = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['233', '237'])). 318.63/46.68 tff('239', plain, c3 != c2, 318.63/46.68 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.68 tff('240', plain, 318.63/46.68 ((g(s(c5), s(c5)) = c3 318.63/46.68 | g(s(c5), s(c5)) = c5 318.63/46.68 | g(s(c5), s(c5)) = c4 318.63/46.68 | g(s(c5), s(c5)) = c2)) <= ((g(s(s(c5)), s(c5)) = c2)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['238', '239'])). 318.63/46.68 tff('241', plain, (g(s(c5), s(c5)) = c4) <= ((g(s(c5), s(c5)) = c4)), 318.63/46.68 inference('split', [status(esa)], ['240'])). 318.63/46.68 tff('242', plain, 318.63/46.68 (g(s(s(c5)), s(s(c5))) = c2) <= ((g(s(s(c5)), s(s(c5))) = c2)), 318.63/46.68 inference('split', [status(esa)], ['189'])). 318.63/46.68 tff('243', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c8, X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(s(s(c5)), X0) = c4 318.63/46.68 | g(s(s(c5)), X0) = c2), 318.63/46.68 inference('sup+', [status(thm)], ['111', '112'])). 318.63/46.68 tff('244', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('245', plain, 318.63/46.68 ![X0]: 318.63/46.68 (c2 != c2 318.63/46.68 | g(s(s(c5)), X0) = c4 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(s(s(c5)), X0) = c3 318.63/46.68 | g(c8, X0) = c3 318.63/46.68 | g(s(s(c5)), s(X0)) = c4), 318.63/46.68 inference('sup-', [status(thm)], ['243', '244'])). 318.63/46.68 tff('246', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(s(s(c5)), s(X0)) = c4 318.63/46.68 | g(c8, X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(s(s(c5)), X0) = c4), 318.63/46.68 inference('simplify', [status(thm)], ['245'])). 318.63/46.68 tff('247', plain, 318.63/46.68 ((c2 = c4 318.63/46.68 | g(s(s(c5)), s(c5)) = c4 318.63/46.68 | g(s(s(c5)), s(c5)) = c5 318.63/46.68 | g(s(s(c5)), s(c5)) = c3 318.63/46.68 | g(c8, s(c5)) = c3)) <= ((g(s(s(c5)), s(s(c5))) = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['242', '246'])). 318.63/46.68 tff('248', plain, c4 != c2, 318.63/46.68 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.68 tff('249', plain, 318.63/46.68 ((g(s(s(c5)), s(c5)) = c4 318.63/46.68 | g(s(s(c5)), s(c5)) = c5 318.63/46.68 | g(s(s(c5)), s(c5)) = c3 318.63/46.68 | g(c8, s(c5)) = c3)) <= ((g(s(s(c5)), s(s(c5))) = c2)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['247', '248'])). 318.63/46.68 tff('250', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.68 inference('split', [status(esa)], ['249'])). 318.63/46.68 tff('251', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('252', plain, 318.63/46.68 ((c3 != c3 | g(s(c5), s(c5)) = c1)) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['250', '251'])). 318.63/46.68 tff('253', plain, (g(s(c5), s(c5)) = c1) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.68 inference('simplify', [status(thm)], ['252'])). 318.63/46.68 tff('254', plain, 318.63/46.68 (c4 = c1) <= ((g(s(s(c5)), s(c5)) = c3) & (g(s(c5), s(c5)) = c4)), 318.63/46.68 inference('sup+', [status(thm)], ['241', '253'])). 318.63/46.68 tff('255', plain, c4 != c1, 318.63/46.68 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.68 tff('256', plain, ~ (g(s(s(c5)), s(c5)) = c3) | ~ (g(s(c5), s(c5)) = c4), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['254', '255'])). 318.63/46.68 tff('257', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('258', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 (g(s(X1), X0) = c3 318.63/46.68 | g(X1, X0) = c2 318.63/46.68 | g(X1, X0) = c4 318.63/46.68 | g(X1, X0) = c5 318.63/46.68 | g(X1, X0) = c3), 318.63/46.68 inference('simplify', [status(thm)], ['4'])). 318.63/46.68 tff('259', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c5, X0) = c3 318.63/46.68 | g(c4, X0) = c3 318.63/46.68 | g(c4, X0) = c5 318.63/46.68 | g(c4, X0) = c4 318.63/46.68 | g(c4, X0) = c2), 318.63/46.68 inference('sup+', [status(thm)], ['257', '258'])). 318.63/46.68 tff('260', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('261', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('262', plain, ![X0]: (g(X0, c3) != c4 | g(X0, c2) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['260', '261'])). 318.63/46.68 tff('263', plain, 318.63/46.68 (c2 != c4 318.63/46.68 | g(c4, c3) = c4 318.63/46.68 | g(c4, c3) = c5 318.63/46.68 | g(c4, c3) = c3 318.63/46.68 | g(c5, c3) = c3 318.63/46.68 | g(c4, c2) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['259', '262'])). 318.63/46.68 tff('264', plain, (g(c5, c3) = c3) <= ((g(c5, c3) = c3)), 318.63/46.68 inference('split', [status(esa)], ['263'])). 318.63/46.68 tff('265', plain, ![X0]: (g(X0, c3) != c4 | g(X0, c2) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['260', '261'])). 318.63/46.68 tff('266', plain, ((c3 != c4 | g(c5, c2) = c2)) <= ((g(c5, c3) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['264', '265'])). 318.63/46.68 tff('267', plain, (g(c5, c2) = c2) <= ((g(c5, c2) = c2)), 318.63/46.68 inference('split', [status(esa)], ['266'])). 318.63/46.68 tff('268', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c5, X0) = c3 318.63/46.68 | g(c4, X0) = c3 318.63/46.68 | g(c4, X0) = c5 318.63/46.68 | g(c4, X0) = c4 318.63/46.68 | g(c4, X0) = c2), 318.63/46.68 inference('sup+', [status(thm)], ['257', '258'])). 318.63/46.68 tff('269', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('270', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('271', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.68 tff('272', plain, 318.63/46.68 (c2 != c4 318.63/46.68 | g(c4, c2) = c4 318.63/46.68 | g(c4, c2) = c5 318.63/46.68 | g(c4, c2) = c3 318.63/46.68 | g(c5, c2) = c3 318.63/46.68 | g(c4, c1) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['268', '271'])). 318.63/46.68 tff('273', plain, (g(c5, c2) = c3) <= ((g(c5, c2) = c3)), 318.63/46.68 inference('split', [status(esa)], ['272'])). 318.63/46.68 tff('274', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('275', plain, ((c3 != c1 | g(s(c5), c2) = c3)) <= ((g(c5, c2) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['273', '274'])). 318.63/46.68 tff('276', plain, (g(s(c5), c2) = c3) <= ((g(s(c5), c2) = c3)), 318.63/46.68 inference('split', [status(esa)], ['275'])). 318.63/46.68 tff('277', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('278', plain, ((c3 != c3 | g(c5, c2) = c1)) <= ((g(s(c5), c2) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['276', '277'])). 318.63/46.68 tff('279', plain, (g(c5, c2) = c1) <= ((g(s(c5), c2) = c3)), 318.63/46.68 inference('simplify', [status(thm)], ['278'])). 318.63/46.68 tff('280', plain, (c2 = c1) <= ((g(c5, c2) = c2) & (g(s(c5), c2) = c3)), 318.63/46.68 inference('sup+', [status(thm)], ['267', '279'])). 318.63/46.68 tff('281', plain, c1 != c2, 318.63/46.68 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.68 tff('282', plain, ~ (g(s(c5), c2) = c3) | ~ (g(c5, c2) = c2), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['280', '281'])). 318.63/46.68 tff('283', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c8, X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(s(s(c5)), X0) = c4 318.63/46.68 | g(s(s(c5)), X0) = c2), 318.63/46.68 inference('sup+', [status(thm)], ['111', '112'])). 318.63/46.68 tff('284', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('285', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('286', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.68 tff('287', plain, 318.63/46.68 (c2 != c4 318.63/46.68 | g(s(s(c5)), c4) = c4 318.63/46.68 | g(s(s(c5)), c4) = c5 318.63/46.68 | g(s(s(c5)), c4) = c3 318.63/46.68 | g(c8, c4) = c3 318.63/46.68 | g(s(s(c5)), c3) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['283', '286'])). 318.63/46.68 tff('288', plain, (g(s(s(c5)), c4) = c3) <= ((g(s(s(c5)), c4) = c3)), 318.63/46.68 inference('split', [status(esa)], ['287'])). 318.63/46.68 tff('289', plain, (g(s(s(c5)), c3) = c2) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.68 inference('split', [status(esa)], ['287'])). 318.63/46.68 tff('290', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('291', plain, 318.63/46.68 ((c2 != c2 | g(s(s(c5)), s(c3)) = c4)) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.68 inference('sup-', [status(thm)], ['289', '290'])). 318.63/46.68 tff('292', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('293', plain, 318.63/46.68 ((c2 != c2 | g(s(s(c5)), c4) = c4)) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.68 inference('demod', [status(thm)], ['291', '292'])). 318.63/46.68 tff('294', plain, (g(s(s(c5)), c4) = c4) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.68 inference('simplify', [status(thm)], ['293'])). 318.63/46.68 tff('295', plain, 318.63/46.68 (c3 = c4) <= ((g(s(s(c5)), c3) = c2) & (g(s(s(c5)), c4) = c3)), 318.63/46.68 inference('sup+', [status(thm)], ['288', '294'])). 318.63/46.68 tff('296', plain, (g(c2, c2) = c4) <= ((g(c2, c2) = c4)), 318.63/46.68 inference('split', [status(esa)], ['196'])). 318.63/46.68 tff('297', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('298', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('299', plain, ![X0]: (g(c2, X0) != c3 | g(c1, X0) = c1), 318.63/46.68 inference('sup-', [status(thm)], ['297', '298'])). 318.63/46.68 tff('300', plain, ((c4 != c3 | g(c1, c2) = c1)) <= ((g(c2, c2) = c4)), 318.63/46.68 inference('sup-', [status(thm)], ['296', '299'])). 318.63/46.68 tff('301', plain, (c4 != c3) <= (~ (c4 = c3)), 318.63/46.68 inference('split', [status(esa)], ['300'])). 318.63/46.68 tff('302', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('303', plain, (g(c2, c2) = c3) <= ((g(c2, c2) = c3)), 318.63/46.68 inference('split', [status(esa)], ['108'])). 318.63/46.68 tff('304', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('305', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 (g(s(X1), X0) = c3 318.63/46.68 | g(X1, X0) = c2 318.63/46.68 | g(X1, X0) = c4 318.63/46.68 | g(X1, X0) = c5 318.63/46.68 | g(X1, X0) = c3), 318.63/46.68 inference('simplify', [status(thm)], ['4'])). 318.63/46.68 tff('306', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c3, X0) = c3 318.63/46.68 | g(c2, X0) = c3 318.63/46.68 | g(c2, X0) = c5 318.63/46.68 | g(c2, X0) = c4 318.63/46.68 | g(c2, X0) = c2), 318.63/46.68 inference('sup+', [status(thm)], ['304', '305'])). 318.63/46.68 tff('307', plain, 318.63/46.68 ((c3 = c2 318.63/46.68 | g(c2, c2) = c4 318.63/46.68 | g(c2, c2) = c5 318.63/46.68 | g(c2, c2) = c3 318.63/46.68 | g(c3, c2) = c3)) <= ((g(c2, c2) = c3)), 318.63/46.68 inference('sup+', [status(thm)], ['303', '306'])). 318.63/46.68 tff('308', plain, (g(c2, c2) = c3) <= ((g(c2, c2) = c3)), 318.63/46.68 inference('split', [status(esa)], ['108'])). 318.63/46.68 tff('309', plain, (g(c2, c2) = c3) <= ((g(c2, c2) = c3)), 318.63/46.68 inference('split', [status(esa)], ['108'])). 318.63/46.68 tff('310', plain, 318.63/46.68 ((c3 = c2 | c3 = c4 | c3 = c5 | g(c2, c2) = c3 | g(c3, c2) = c3)) 318.63/46.68 <= ((g(c2, c2) = c3)), 318.63/46.68 inference('demod', [status(thm)], ['307', '308', '309'])). 318.63/46.68 tff('311', plain, g(c1, c1) = c5, 318.63/46.68 inference('sup-', [status(thm)], ['19', '20'])). 318.63/46.68 tff('312', plain, ![X11]: g(c1, X11) != c3, 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('313', plain, c5 != c3, inference('sup-', [status(thm)], ['311', '312'])). 318.63/46.68 tff('314', plain, c3 != c2, 318.63/46.68 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.68 tff('315', plain, 318.63/46.68 ((c3 = c4 | g(c2, c2) = c3 | g(c3, c2) = c3)) <= ((g(c2, c2) = c3)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['310', '313', '314'])). 318.63/46.68 tff('316', plain, (c3 = c4) <= ((c4 = c3)), 318.63/46.68 inference('split', [status(esa)], ['315'])). 318.63/46.68 tff('317', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('318', plain, (c4 = s(c4)) <= ((c4 = c3)), 318.63/46.68 inference('sup+', [status(thm)], ['316', '317'])). 318.63/46.68 tff('319', plain, (c4 = c5) <= ((c4 = c3)), 318.63/46.68 inference('sup+', [status(thm)], ['302', '318'])). 318.63/46.68 tff('320', plain, g(c1, c1) = c5, 318.63/46.68 inference('sup-', [status(thm)], ['19', '20'])). 318.63/46.68 tff('321', plain, ![X10]: g(X10, c1) != c4, 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('322', plain, c5 != c4, inference('sup-', [status(thm)], ['320', '321'])). 318.63/46.68 tff('323', plain, ~ (c4 = c3), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['319', '322'])). 318.63/46.68 tff('324', plain, ~ (c4 = c3), 318.63/46.68 inference('sat_resolution*', [status(thm)], ['323'])). 318.63/46.68 tff('325', plain, c4 != c3, 318.63/46.68 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.68 tff('326', plain, ~ (g(s(s(c5)), c3) = c2) | ~ (g(s(s(c5)), c4) = c3), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['295', '325'])). 318.63/46.68 tff('327', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c8, X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(s(s(c5)), X0) = c4 318.63/46.68 | g(s(s(c5)), X0) = c2), 318.63/46.68 inference('sup+', [status(thm)], ['111', '112'])). 318.63/46.68 tff('328', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('329', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('330', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.68 tff('331', plain, 318.63/46.68 (c2 != c4 318.63/46.68 | g(s(s(c5)), c5) = c4 318.63/46.68 | g(s(s(c5)), c5) = c5 318.63/46.68 | g(s(s(c5)), c5) = c3 318.63/46.68 | g(c8, c5) = c3 318.63/46.68 | g(s(s(c5)), c4) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['327', '330'])). 318.63/46.68 tff('332', plain, (g(s(s(c5)), c5) = c3) <= ((g(s(s(c5)), c5) = c3)), 318.63/46.68 inference('split', [status(esa)], ['331'])). 318.63/46.68 tff('333', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('334', plain, 318.63/46.68 ((c3 != c3 | g(s(c5), c5) = c1)) <= ((g(s(s(c5)), c5) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['332', '333'])). 318.63/46.68 tff('335', plain, (g(s(c5), c5) = c1) <= ((g(s(s(c5)), c5) = c3)), 318.63/46.68 inference('simplify', [status(thm)], ['334'])). 318.63/46.68 tff('336', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 (g(s(X1), X0) = c3 318.63/46.68 | g(X1, X0) = c2 318.63/46.68 | g(X1, X0) = c4 318.63/46.68 | g(X1, X0) = c5 318.63/46.68 | g(X1, X0) = c3), 318.63/46.68 inference('simplify', [status(thm)], ['4'])). 318.63/46.68 tff('337', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c4) = c2)), 318.63/46.68 inference('split', [status(esa)], ['331'])). 318.63/46.68 tff('338', plain, 318.63/46.68 ((c3 = c2 318.63/46.68 | g(s(c5), c4) = c3 318.63/46.68 | g(s(c5), c4) = c5 318.63/46.68 | g(s(c5), c4) = c4 318.63/46.68 | g(s(c5), c4) = c2)) <= ((g(s(s(c5)), c4) = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['336', '337'])). 318.63/46.68 tff('339', plain, c3 != c2, 318.63/46.68 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.68 tff('340', plain, 318.63/46.68 ((g(s(c5), c4) = c3 318.63/46.68 | g(s(c5), c4) = c5 318.63/46.68 | g(s(c5), c4) = c4 318.63/46.68 | g(s(c5), c4) = c2)) <= ((g(s(s(c5)), c4) = c2)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['338', '339'])). 318.63/46.68 tff('341', plain, (g(s(c5), c4) = c2) <= ((g(s(c5), c4) = c2)), 318.63/46.68 inference('split', [status(esa)], ['340'])). 318.63/46.68 tff('342', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('343', plain, 318.63/46.68 ((c2 != c2 | g(s(c5), s(c4)) = c4)) <= ((g(s(c5), c4) = c2)), 318.63/46.68 inference('sup-', [status(thm)], ['341', '342'])). 318.63/46.68 tff('344', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('345', plain, ((c2 != c2 | g(s(c5), c5) = c4)) <= ((g(s(c5), c4) = c2)), 318.63/46.68 inference('demod', [status(thm)], ['343', '344'])). 318.63/46.68 tff('346', plain, (g(s(c5), c5) = c4) <= ((g(s(c5), c4) = c2)), 318.63/46.68 inference('simplify', [status(thm)], ['345'])). 318.63/46.68 tff('347', plain, 318.63/46.68 (c1 = c4) <= ((g(s(s(c5)), c5) = c3) & (g(s(c5), c4) = c2)), 318.63/46.68 inference('sup+', [status(thm)], ['335', '346'])). 318.63/46.68 tff('348', plain, c4 != c1, 318.63/46.68 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.68 tff('349', plain, ~ (g(s(s(c5)), c5) = c3) | ~ (g(s(c5), c4) = c2), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['347', '348'])). 318.63/46.68 tff('350', plain, (g(s(c5), c5) = c1) <= ((g(s(s(c5)), c5) = c3)), 318.63/46.68 inference('simplify', [status(thm)], ['334'])). 318.63/46.68 tff('351', plain, (g(s(c5), s(c5)) = c4) <= ((g(s(c5), s(c5)) = c4)), 318.63/46.68 inference('split', [status(esa)], ['240'])). 318.63/46.68 tff('352', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('353', plain, 318.63/46.68 ((c4 != c4 | g(s(c5), c5) = c2)) <= ((g(s(c5), s(c5)) = c4)), 318.63/46.68 inference('sup-', [status(thm)], ['351', '352'])). 318.63/46.68 tff('354', plain, (g(s(c5), c5) = c2) <= ((g(s(c5), s(c5)) = c4)), 318.63/46.68 inference('simplify', [status(thm)], ['353'])). 318.63/46.68 tff('355', plain, 318.63/46.68 (c1 = c2) <= ((g(s(s(c5)), c5) = c3) & (g(s(c5), s(c5)) = c4)), 318.63/46.68 inference('sup+', [status(thm)], ['350', '354'])). 318.63/46.68 tff('356', plain, c1 != c2, 318.63/46.68 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.68 tff('357', plain, ~ (g(s(s(c5)), c5) = c3) | ~ (g(s(c5), s(c5)) = c4), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['355', '356'])). 318.63/46.68 tff('358', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(s(s(c5)), s(X0)) = c4 318.63/46.68 | g(c8, X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(s(s(c5)), X0) = c4), 318.63/46.68 inference('simplify', [status(thm)], ['245'])). 318.63/46.68 tff('359', plain, (g(c8, s(c5)) = c3) <= ((g(c8, s(c5)) = c3)), 318.63/46.68 inference('split', [status(esa)], ['249'])). 318.63/46.68 tff('360', plain, ![X0]: (g(c8, X0) != c3 | g(s(s(c5)), X0) = c1), 318.63/46.68 inference('sup-', [status(thm)], ['71', '72'])). 318.63/46.68 tff('361', plain, 318.63/46.68 ((c3 != c3 | g(s(s(c5)), s(c5)) = c1)) <= ((g(c8, s(c5)) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['359', '360'])). 318.63/46.68 tff('362', plain, (g(s(s(c5)), s(c5)) = c1) <= ((g(c8, s(c5)) = c3)), 318.63/46.68 inference('simplify', [status(thm)], ['361'])). 318.63/46.68 tff('363', plain, 318.63/46.68 ((c4 = c1 318.63/46.68 | g(s(s(c5)), c5) = c4 318.63/46.68 | g(s(s(c5)), c5) = c5 318.63/46.68 | g(s(s(c5)), c5) = c3 318.63/46.68 | g(c8, c5) = c3)) <= ((g(c8, s(c5)) = c3)), 318.63/46.68 inference('sup+', [status(thm)], ['358', '362'])). 318.63/46.68 tff('364', plain, c4 != c1, 318.63/46.68 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.68 tff('365', plain, 318.63/46.68 ((g(s(s(c5)), c5) = c4 318.63/46.68 | g(s(s(c5)), c5) = c5 318.63/46.68 | g(s(s(c5)), c5) = c3 318.63/46.68 | g(c8, c5) = c3)) <= ((g(c8, s(c5)) = c3)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['363', '364'])). 318.63/46.68 tff('366', plain, 318.63/46.68 ~ (g(c8, s(c5)) = c3) | (g(s(s(c5)), c5) = c3) | 318.63/46.68 (g(s(s(c5)), c5) = c4) | (g(c8, c5) = c3) | (g(s(s(c5)), c5) = c5), 318.63/46.68 inference('split', [status(esa)], ['365'])). 318.63/46.68 tff('367', plain, (g(s(s(c5)), c5) = c4) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.68 inference('split', [status(esa)], ['331'])). 318.63/46.68 tff('368', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.68 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.68 tff('369', plain, 318.63/46.68 ((c4 != c4 | g(s(s(c5)), c4) = c2)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.68 inference('sup-', [status(thm)], ['367', '368'])). 318.63/46.68 tff('370', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.68 inference('simplify', [status(thm)], ['369'])). 318.63/46.68 tff('371', plain, 318.63/46.68 ![X0, X1]: 318.63/46.68 (g(s(X1), X0) = c3 318.63/46.68 | g(X1, X0) = c2 318.63/46.68 | g(X1, X0) = c4 318.63/46.68 | g(X1, X0) = c5 318.63/46.68 | g(X1, X0) = c3), 318.63/46.68 inference('simplify', [status(thm)], ['4'])). 318.63/46.68 tff('372', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(s(s(c5)), s(X0)) = c4 318.63/46.68 | g(c8, X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(s(s(c5)), X0) = c4), 318.63/46.68 inference('simplify', [status(thm)], ['245'])). 318.63/46.68 tff('373', plain, 318.63/46.68 ![X0]: 318.63/46.68 (c3 = c4 318.63/46.68 | g(s(c5), s(X0)) = c3 318.63/46.68 | g(s(c5), s(X0)) = c5 318.63/46.68 | g(s(c5), s(X0)) = c4 318.63/46.68 | g(s(c5), s(X0)) = c2 318.63/46.68 | g(s(s(c5)), X0) = c4 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(s(s(c5)), X0) = c3 318.63/46.68 | g(c8, X0) = c3), 318.63/46.68 inference('sup+', [status(thm)], ['371', '372'])). 318.63/46.68 tff('374', plain, c4 != c3, 318.63/46.68 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.68 tff('375', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(s(c5), s(X0)) = c3 318.63/46.68 | g(s(c5), s(X0)) = c5 318.63/46.68 | g(s(c5), s(X0)) = c4 318.63/46.68 | g(s(c5), s(X0)) = c2 318.63/46.68 | g(s(s(c5)), X0) = c4 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(s(s(c5)), X0) = c3 318.63/46.68 | g(c8, X0) = c3), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['373', '374'])). 318.63/46.68 tff('376', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('377', plain, 318.63/46.68 ![X0]: 318.63/46.68 (c3 != c3 318.63/46.68 | g(c8, X0) = c3 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(s(s(c5)), X0) = c4 318.63/46.68 | g(s(c5), s(X0)) = c2 318.63/46.68 | g(s(c5), s(X0)) = c4 318.63/46.68 | g(s(c5), s(X0)) = c5 318.63/46.68 | g(s(c5), s(X0)) = c3 318.63/46.68 | g(s(c5), X0) = c1), 318.63/46.68 inference('sup-', [status(thm)], ['375', '376'])). 318.63/46.68 tff('378', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(s(c5), X0) = c1 318.63/46.68 | g(s(c5), s(X0)) = c3 318.63/46.68 | g(s(c5), s(X0)) = c5 318.63/46.68 | g(s(c5), s(X0)) = c4 318.63/46.68 | g(s(c5), s(X0)) = c2 318.63/46.68 | g(s(s(c5)), X0) = c4 318.63/46.68 | g(s(s(c5)), X0) = c5 318.63/46.68 | g(c8, X0) = c3), 318.63/46.68 inference('simplify', [status(thm)], ['377'])). 318.63/46.68 tff('379', plain, 318.63/46.68 ((c2 = c4 318.63/46.68 | g(c8, c4) = c3 318.63/46.68 | g(s(s(c5)), c4) = c5 318.63/46.68 | g(s(c5), s(c4)) = c2 318.63/46.68 | g(s(c5), s(c4)) = c4 318.63/46.68 | g(s(c5), s(c4)) = c5 318.63/46.68 | g(s(c5), s(c4)) = c3 318.63/46.68 | g(s(c5), c4) = c1)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.68 inference('sup+', [status(thm)], ['370', '378'])). 318.63/46.68 tff('380', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('381', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('382', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('383', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('384', plain, 318.63/46.68 ((c2 = c4 318.63/46.68 | g(c8, c4) = c3 318.63/46.68 | g(s(s(c5)), c4) = c5 318.63/46.68 | g(s(c5), c5) = c2 318.63/46.68 | g(s(c5), c5) = c4 318.63/46.68 | g(s(c5), c5) = c5 318.63/46.68 | g(s(c5), c5) = c3 318.63/46.68 | g(s(c5), c4) = c1)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.68 inference('demod', [status(thm)], ['379', '380', '381', '382', '383'])). 318.63/46.68 tff('385', plain, c4 != c2, 318.63/46.68 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.68 tff('386', plain, 318.63/46.68 ((g(c8, c4) = c3 318.63/46.68 | g(s(s(c5)), c4) = c5 318.63/46.68 | g(s(c5), c5) = c2 318.63/46.68 | g(s(c5), c5) = c4 318.63/46.68 | g(s(c5), c5) = c5 318.63/46.68 | g(s(c5), c5) = c3 318.63/46.68 | g(s(c5), c4) = c1)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.68 inference('simplify_reflect-', [status(thm)], ['384', '385'])). 318.63/46.68 tff('387', plain, 318.63/46.68 (g(s(c5), c4) = c1) | ~ (g(s(s(c5)), c5) = c4) | 318.63/46.68 (g(s(s(c5)), c4) = c5) | (g(s(c5), c5) = c3) | (g(s(c5), c5) = c2) | 318.63/46.68 (g(s(c5), c5) = c4) | (g(c8, c4) = c3) | (g(s(c5), c5) = c5), 318.63/46.68 inference('split', [status(esa)], ['386'])). 318.63/46.68 tff('388', plain, s(s(s(c5))) = c8, 318.63/46.68 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.68 tff('389', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c5, X0) = c3 318.63/46.68 | g(c4, X0) = c3 318.63/46.68 | g(c4, X0) = c5 318.63/46.68 | g(c4, X0) = c4 318.63/46.68 | g(c4, X0) = c2), 318.63/46.68 inference('sup+', [status(thm)], ['257', '258'])). 318.63/46.68 tff('390', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('391', plain, 318.63/46.68 ![X0]: 318.63/46.68 (c2 != c2 318.63/46.68 | g(c4, X0) = c4 318.63/46.68 | g(c4, X0) = c5 318.63/46.68 | g(c4, X0) = c3 318.63/46.68 | g(c5, X0) = c3 318.63/46.68 | g(c4, s(X0)) = c4), 318.63/46.68 inference('sup-', [status(thm)], ['389', '390'])). 318.63/46.68 tff('392', plain, 318.63/46.68 ![X0]: 318.63/46.68 (g(c4, s(X0)) = c4 318.63/46.68 | g(c5, X0) = c3 318.63/46.68 | g(c4, X0) = c3 318.63/46.68 | g(c4, X0) = c5 318.63/46.68 | g(c4, X0) = c4), 318.63/46.68 inference('simplify', [status(thm)], ['391'])). 318.63/46.68 tff('393', plain, 318.63/46.68 (g(c4, c8) = c4 318.63/46.68 | g(c4, s(s(c5))) = c4 318.63/46.68 | g(c4, s(s(c5))) = c5 318.63/46.68 | g(c4, s(s(c5))) = c3 318.63/46.68 | g(c5, s(s(c5))) = c3), 318.63/46.68 inference('sup+', [status(thm)], ['388', '392'])). 318.63/46.68 tff('394', plain, (g(c4, s(s(c5))) = c4) <= ((g(c4, s(s(c5))) = c4)), 318.63/46.68 inference('split', [status(esa)], ['393'])). 318.63/46.68 tff('395', plain, (g(c5, s(s(c5))) = c3) <= ((g(c5, s(s(c5))) = c3)), 318.63/46.68 inference('split', [status(esa)], ['393'])). 318.63/46.68 tff('396', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('397', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.68 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.68 tff('398', plain, ![X0]: (g(c5, X0) != c3 | g(c4, X0) = c1), 318.63/46.68 inference('sup-', [status(thm)], ['396', '397'])). 318.63/46.68 tff('399', plain, 318.63/46.68 ((c3 != c3 | g(c4, s(s(c5))) = c1)) <= ((g(c5, s(s(c5))) = c3)), 318.63/46.68 inference('sup-', [status(thm)], ['395', '398'])). 318.63/46.68 tff('400', plain, (g(c4, s(s(c5))) = c1) <= ((g(c5, s(s(c5))) = c3)), 318.63/46.68 inference('simplify', [status(thm)], ['399'])). 318.63/46.68 tff('401', plain, 318.63/46.68 (c4 = c1) <= ((g(c5, s(s(c5))) = c3) & (g(c4, s(s(c5))) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['394', '400'])). 318.63/46.69 tff('402', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('403', plain, ~ (g(c5, s(s(c5))) = c3) | ~ (g(c4, s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['401', '402'])). 318.63/46.69 tff('404', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('405', plain, (g(s(s(c5)), c4) = c4) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['287'])). 318.63/46.69 tff('406', plain, 318.63/46.69 ((c3 = c4 318.63/46.69 | g(s(c5), c4) = c3 318.63/46.69 | g(s(c5), c4) = c5 318.63/46.69 | g(s(c5), c4) = c4 318.63/46.69 | g(s(c5), c4) = c2)) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['404', '405'])). 318.63/46.69 tff('407', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('408', plain, 318.63/46.69 ((g(s(c5), c4) = c3 318.63/46.69 | g(s(c5), c4) = c5 318.63/46.69 | g(s(c5), c4) = c4 318.63/46.69 | g(s(c5), c4) = c2)) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['406', '407'])). 318.63/46.69 tff('409', plain, 318.63/46.69 ~ (g(s(s(c5)), c4) = c4) | (g(s(c5), c4) = c2) | (g(s(c5), c4) = c4) | 318.63/46.69 (g(s(c5), c4) = c3) | (g(s(c5), c4) = c5), 318.63/46.69 inference('split', [status(esa)], ['408'])). 318.63/46.69 tff('410', plain, (g(c5, c3) = c3) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('411', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('412', plain, ((c3 != c1 | g(s(c5), c3) = c3)) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['410', '411'])). 318.63/46.69 tff('413', plain, (g(s(c5), c3) = c3) <= ((g(s(c5), c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['412'])). 318.63/46.69 tff('414', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('415', plain, (g(s(s(c5)), c3) = c2) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('split', [status(esa)], ['287'])). 318.63/46.69 tff('416', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(s(c5), c3) = c3 318.63/46.69 | g(s(c5), c3) = c5 318.63/46.69 | g(s(c5), c3) = c4 318.63/46.69 | g(s(c5), c3) = c2)) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['414', '415'])). 318.63/46.69 tff('417', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('418', plain, 318.63/46.69 ((g(s(c5), c3) = c3 318.63/46.69 | g(s(c5), c3) = c5 318.63/46.69 | g(s(c5), c3) = c4 318.63/46.69 | g(s(c5), c3) = c2)) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['416', '417'])). 318.63/46.69 tff('419', plain, (g(s(c5), c3) = c2) <= ((g(s(c5), c3) = c2)), 318.63/46.69 inference('split', [status(esa)], ['418'])). 318.63/46.69 tff('420', plain, (c3 = c2) <= ((g(s(c5), c3) = c3) & (g(s(c5), c3) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['413', '419'])). 318.63/46.69 tff('421', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('422', plain, ~ (g(s(c5), c3) = c2) | ~ (g(s(c5), c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['420', '421'])). 318.63/46.69 tff('423', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c5, X0) = c3 318.63/46.69 | g(c4, X0) = c3 318.63/46.69 | g(c4, X0) = c5 318.63/46.69 | g(c4, X0) = c4 318.63/46.69 | g(c4, X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['257', '258'])). 318.63/46.69 tff('424', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.69 tff('425', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c4, c5) = c4 318.63/46.69 | g(c4, c5) = c5 318.63/46.69 | g(c4, c5) = c3 318.63/46.69 | g(c5, c5) = c3 318.63/46.69 | g(c4, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['423', '424'])). 318.63/46.69 tff('426', plain, (g(c5, c5) = c3) <= ((g(c5, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('427', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('428', plain, ((c3 != c1 | g(s(c5), c5) = c3)) <= ((g(c5, c5) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['426', '427'])). 318.63/46.69 tff('429', plain, (g(s(c5), c5) = c3) <= ((g(s(c5), c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['428'])). 318.63/46.69 tff('430', plain, (g(s(c5), c5) = c4) <= ((g(s(c5), c4) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['345'])). 318.63/46.69 tff('431', plain, (c3 = c4) <= ((g(s(c5), c5) = c3) & (g(s(c5), c4) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['429', '430'])). 318.63/46.69 tff('432', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('433', plain, ~ (g(s(c5), c4) = c2) | ~ (g(s(c5), c5) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['431', '432'])). 318.63/46.69 tff('434', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['369'])). 318.63/46.69 tff('435', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c4) = c2)), 318.63/46.69 inference('split', [status(esa)], ['331'])). 318.63/46.69 tff('436', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('437', plain, 318.63/46.69 ((c2 != c3 | g(s(c5), c4) = c1)) <= ((g(s(s(c5)), c4) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['435', '436'])). 318.63/46.69 tff('438', plain, (g(s(c5), c4) = c1) <= ((g(s(c5), c4) = c1)), 318.63/46.69 inference('split', [status(esa)], ['437'])). 318.63/46.69 tff('439', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('440', plain, 318.63/46.69 ((c1 != c1 | g(s(s(c5)), c4) = c3)) <= ((g(s(c5), c4) = c1)), 318.63/46.69 inference('sup-', [status(thm)], ['438', '439'])). 318.63/46.69 tff('441', plain, (g(s(s(c5)), c4) = c3) <= ((g(s(c5), c4) = c1)), 318.63/46.69 inference('simplify', [status(thm)], ['440'])). 318.63/46.69 tff('442', plain, 318.63/46.69 (c2 = c3) <= ((g(s(s(c5)), c5) = c4) & (g(s(c5), c4) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['434', '441'])). 318.63/46.69 tff('443', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('444', plain, ~ (g(s(c5), c4) = c1) | ~ (g(s(s(c5)), c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['442', '443'])). 318.63/46.69 tff('445', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['369'])). 318.63/46.69 tff('446', plain, (g(s(s(c5)), c4) = c4) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['293'])). 318.63/46.69 tff('447', plain, 318.63/46.69 (c2 = c4) <= ((g(s(s(c5)), c5) = c4) & (g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['445', '446'])). 318.63/46.69 tff('448', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('449', plain, ~ (g(s(s(c5)), c3) = c2) | ~ (g(s(s(c5)), c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['447', '448'])). 318.63/46.69 tff('450', plain, (g(s(c5), s(s(c5))) = c3) <= ((g(s(c5), s(s(c5))) = c3)), 318.63/46.69 inference('split', [status(esa)], ['226'])). 318.63/46.69 tff('451', plain, (g(s(c5), c8) = c4) <= ((g(s(c5), c8) = c4)), 318.63/46.69 inference('split', [status(esa)], ['78'])). 318.63/46.69 tff('452', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.69 tff('453', plain, 318.63/46.69 ((c4 != c4 | g(s(c5), s(s(c5))) = c2)) <= ((g(s(c5), c8) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['451', '452'])). 318.63/46.69 tff('454', plain, (g(s(c5), s(s(c5))) = c2) <= ((g(s(c5), c8) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['453'])). 318.63/46.69 tff('455', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('456', plain, 318.63/46.69 ((c2 != c4 | g(s(c5), s(c5)) = c2)) <= ((g(s(c5), c8) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['454', '455'])). 318.63/46.69 tff('457', plain, (g(s(c5), s(c5)) = c2) <= ((g(s(c5), s(c5)) = c2)), 318.63/46.69 inference('split', [status(esa)], ['456'])). 318.63/46.69 tff('458', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('459', plain, 318.63/46.69 ((c2 != c2 | g(s(c5), s(s(c5))) = c4)) <= ((g(s(c5), s(c5)) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['457', '458'])). 318.63/46.69 tff('460', plain, (g(s(c5), s(s(c5))) = c4) <= ((g(s(c5), s(c5)) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['459'])). 318.63/46.69 tff('461', plain, 318.63/46.69 (c3 = c4) <= ((g(s(c5), s(s(c5))) = c3) & (g(s(c5), s(c5)) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['450', '460'])). 318.63/46.69 tff('462', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('463', plain, ~ (g(s(c5), s(s(c5))) = c3) | ~ (g(s(c5), s(c5)) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['461', '462'])). 318.63/46.69 tff('464', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, X0) = c2 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['14'])). 318.63/46.69 tff('465', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('466', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c8, c4) = c3 318.63/46.69 | g(c8, c4) = c5 318.63/46.69 | g(c8, c4) = c4 318.63/46.69 | g(c8, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['464', '465'])). 318.63/46.69 tff('467', plain, (g(c8, c4) = c3) <= ((g(c8, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['466'])). 318.63/46.69 tff('468', plain, ![X0]: (g(c8, X0) != c3 | g(s(s(c5)), X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['71', '72'])). 318.63/46.69 tff('469', plain, ((c3 != c3 | g(s(s(c5)), c4) = c1)) <= ((g(c8, c4) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['467', '468'])). 318.63/46.69 tff('470', plain, (g(s(s(c5)), c4) = c1) <= ((g(c8, c4) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['469'])). 318.63/46.69 tff('471', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['369'])). 318.63/46.69 tff('472', plain, (c1 = c2) <= ((g(c8, c4) = c3) & (g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['470', '471'])). 318.63/46.69 tff('473', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('474', plain, ~ (g(c8, c4) = c3) | ~ (g(s(s(c5)), c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['472', '473'])). 318.63/46.69 tff('475', plain, (g(s(s(c5)), c4) = c4) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['287'])). 318.63/46.69 tff('476', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['369'])). 318.63/46.69 tff('477', plain, 318.63/46.69 (c4 = c2) <= ((g(s(s(c5)), c5) = c4) & (g(s(s(c5)), c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['475', '476'])). 318.63/46.69 tff('478', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('479', plain, ~ (g(s(s(c5)), c4) = c4) | ~ (g(s(s(c5)), c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['477', '478'])). 318.63/46.69 tff('480', plain, (g(s(s(c5)), c4) = c4) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['287'])). 318.63/46.69 tff('481', plain, (g(s(s(c5)), c4) = c3) <= ((g(s(s(c5)), c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['287'])). 318.63/46.69 tff('482', plain, 318.63/46.69 (c4 = c3) <= ((g(s(s(c5)), c4) = c4) & (g(s(s(c5)), c4) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['480', '481'])). 318.63/46.69 tff('483', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('484', plain, ~ (g(s(s(c5)), c4) = c4) | ~ (g(s(s(c5)), c4) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['482', '483'])). 318.63/46.69 tff('485', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c3, X0) = c3 318.63/46.69 | g(c2, X0) = c3 318.63/46.69 | g(c2, X0) = c5 318.63/46.69 | g(c2, X0) = c4 318.63/46.69 | g(c2, X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['304', '305'])). 318.63/46.69 tff('486', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.69 tff('487', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c2, c5) = c4 318.63/46.69 | g(c2, c5) = c5 318.63/46.69 | g(c2, c5) = c3 318.63/46.69 | g(c3, c5) = c3 318.63/46.69 | g(c2, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['485', '486'])). 318.63/46.69 tff('488', plain, (g(c2, c5) = c3) <= ((g(c2, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['487'])). 318.63/46.69 tff('489', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c4, X0) = c3 318.63/46.69 | g(c3, X0) = c3 318.63/46.69 | g(c3, X0) = c5 318.63/46.69 | g(c3, X0) = c4 318.63/46.69 | g(c3, X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['1', '5'])). 318.63/46.69 tff('490', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.69 tff('491', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c3, c5) = c4 318.63/46.69 | g(c3, c5) = c5 318.63/46.69 | g(c3, c5) = c3 318.63/46.69 | g(c4, c5) = c3 318.63/46.69 | g(c3, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['489', '490'])). 318.63/46.69 tff('492', plain, (g(c3, c5) = c3) <= ((g(c3, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['491'])). 318.63/46.69 tff('493', plain, ![X0]: (g(c3, X0) != c3 | g(c2, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['133', '134'])). 318.63/46.69 tff('494', plain, ((c3 != c3 | g(c2, c5) = c1)) <= ((g(c3, c5) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['492', '493'])). 318.63/46.69 tff('495', plain, (g(c2, c5) = c1) <= ((g(c3, c5) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['494'])). 318.63/46.69 tff('496', plain, (c3 = c1) <= ((g(c3, c5) = c3) & (g(c2, c5) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['488', '495'])). 318.63/46.69 tff('497', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('498', plain, ~ (g(c3, c5) = c3) | ~ (g(c2, c5) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['496', '497'])). 318.63/46.69 tff('499', plain, (g(s(s(c5)), s(c5)) = c4) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('500', plain, (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(c5)) = c2)), 318.63/46.69 inference('split', [status(esa)], ['236'])). 318.63/46.69 tff('501', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('502', plain, 318.63/46.69 ((c2 != c3 | g(s(c5), s(c5)) = c1)) <= ((g(s(s(c5)), s(c5)) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['500', '501'])). 318.63/46.69 tff('503', plain, (g(s(c5), s(c5)) = c1) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('split', [status(esa)], ['502'])). 318.63/46.69 tff('504', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('505', plain, 318.63/46.69 ((c1 != c1 | g(s(s(c5)), s(c5)) = c3)) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('sup-', [status(thm)], ['503', '504'])). 318.63/46.69 tff('506', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('simplify', [status(thm)], ['505'])). 318.63/46.69 tff('507', plain, 318.63/46.69 (c4 = c3) <= ((g(s(s(c5)), s(c5)) = c4) & (g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['499', '506'])). 318.63/46.69 tff('508', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('509', plain, ~ (g(s(s(c5)), s(c5)) = c4) | ~ (g(s(c5), s(c5)) = c1), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['507', '508'])). 318.63/46.69 tff('510', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c5, X0) = c3 318.63/46.69 | g(c4, X0) = c3 318.63/46.69 | g(c4, X0) = c5 318.63/46.69 | g(c4, X0) = c4 318.63/46.69 | g(c4, X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['257', '258'])). 318.63/46.69 tff('511', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('512', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c4, c1) = c4 318.63/46.69 | g(c4, c1) = c5 318.63/46.69 | g(c4, c1) = c3 318.63/46.69 | g(c5, c1) = c3), 318.63/46.69 inference('sup-', [status(thm)], ['510', '511'])). 318.63/46.69 tff('513', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('514', plain, 318.63/46.69 (c2 != c4 | g(c4, c1) = c5 | g(c4, c1) = c3 | g(c5, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['512', '513'])). 318.63/46.69 tff('515', plain, (g(c5, c1) = c3) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['514'])). 318.63/46.69 tff('516', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('517', plain, ((c3 != c1 | g(s(c5), c1) = c3)) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['515', '516'])). 318.63/46.69 tff('518', plain, (g(s(c5), c1) = c3) <= ((g(s(c5), c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['517'])). 318.63/46.69 tff('519', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('520', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['111', '112'])). 318.63/46.69 tff('521', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.69 tff('522', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(s(s(c5)), c2) = c4 318.63/46.69 | g(s(s(c5)), c2) = c5 318.63/46.69 | g(s(s(c5)), c2) = c3 318.63/46.69 | g(c8, c2) = c3 318.63/46.69 | g(s(s(c5)), c1) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['520', '521'])). 318.63/46.69 tff('523', plain, (g(s(s(c5)), c1) = c2) <= ((g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('split', [status(esa)], ['522'])). 318.63/46.69 tff('524', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(s(c5), c1) = c3 318.63/46.69 | g(s(c5), c1) = c5 318.63/46.69 | g(s(c5), c1) = c4 318.63/46.69 | g(s(c5), c1) = c2)) <= ((g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['519', '523'])). 318.63/46.69 tff('525', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('526', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('527', plain, 318.63/46.69 ((g(s(c5), c1) = c3 | g(s(c5), c1) = c5 | g(s(c5), c1) = c2)) 318.63/46.69 <= ((g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['524', '525', '526'])). 318.63/46.69 tff('528', plain, (g(s(c5), c1) = c2) <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('split', [status(esa)], ['527'])). 318.63/46.69 tff('529', plain, (c3 = c2) <= ((g(s(c5), c1) = c3) & (g(s(c5), c1) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['518', '528'])). 318.63/46.69 tff('530', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('531', plain, ~ (g(s(c5), c1) = c2) | ~ (g(s(c5), c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['529', '530'])). 318.63/46.69 tff('532', plain, s(s(s(c5))) = c8, 318.63/46.69 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.69 tff('533', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(s(c5)), s(X0)) = c4 318.63/46.69 | g(c8, X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c4), 318.63/46.69 inference('simplify', [status(thm)], ['245'])). 318.63/46.69 tff('534', plain, 318.63/46.69 (g(s(s(c5)), c8) = c4 318.63/46.69 | g(s(s(c5)), s(s(c5))) = c4 318.63/46.69 | g(s(s(c5)), s(s(c5))) = c5 318.63/46.69 | g(s(s(c5)), s(s(c5))) = c3 318.63/46.69 | g(c8, s(s(c5))) = c3), 318.63/46.69 inference('sup+', [status(thm)], ['532', '533'])). 318.63/46.69 tff('535', plain, 318.63/46.69 (g(s(s(c5)), s(s(c5))) = c4) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('split', [status(esa)], ['534'])). 318.63/46.69 tff('536', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('537', plain, 318.63/46.69 ((c4 != c4 | g(s(s(c5)), s(c5)) = c2)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['535', '536'])). 318.63/46.69 tff('538', plain, 318.63/46.69 (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['537'])). 318.63/46.69 tff('539', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('simplify', [status(thm)], ['505'])). 318.63/46.69 tff('540', plain, 318.63/46.69 (c2 = c3) <= ((g(s(s(c5)), s(s(c5))) = c4) & (g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['538', '539'])). 318.63/46.69 tff('541', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('542', plain, ~ (g(s(s(c5)), s(s(c5))) = c4) | ~ (g(s(c5), s(c5)) = c1), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['540', '541'])). 318.63/46.69 tff('543', plain, (g(s(c5), s(s(c5))) = c3) <= ((g(s(c5), s(s(c5))) = c3)), 318.63/46.69 inference('split', [status(esa)], ['226'])). 318.63/46.69 tff('544', plain, 318.63/46.69 (g(s(s(c5)), s(s(c5))) = c3) <= ((g(s(s(c5)), s(s(c5))) = c3)), 318.63/46.69 inference('split', [status(esa)], ['165'])). 318.63/46.69 tff('545', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('546', plain, 318.63/46.69 ((c3 != c3 | g(s(c5), s(s(c5))) = c1)) <= ((g(s(s(c5)), s(s(c5))) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['544', '545'])). 318.63/46.69 tff('547', plain, 318.63/46.69 (g(s(c5), s(s(c5))) = c1) <= ((g(s(s(c5)), s(s(c5))) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['546'])). 318.63/46.69 tff('548', plain, 318.63/46.69 (c3 = c1) <= ((g(s(c5), s(s(c5))) = c3) & (g(s(s(c5)), s(s(c5))) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['543', '547'])). 318.63/46.69 tff('549', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('550', plain, 318.63/46.69 ~ (g(s(c5), s(s(c5))) = c3) | ~ (g(s(s(c5)), s(s(c5))) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['548', '549'])). 318.63/46.69 tff('551', plain, (g(s(s(c5)), c3) = c2) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('split', [status(esa)], ['287'])). 318.63/46.69 tff('552', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['111', '112'])). 318.63/46.69 tff('553', plain, ![X0]: (g(X0, c3) != c4 | g(X0, c2) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['260', '261'])). 318.63/46.69 tff('554', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(s(s(c5)), c3) = c4 318.63/46.69 | g(s(s(c5)), c3) = c5 318.63/46.69 | g(s(s(c5)), c3) = c3 318.63/46.69 | g(c8, c3) = c3 318.63/46.69 | g(s(s(c5)), c2) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['552', '553'])). 318.63/46.69 tff('555', plain, (g(s(s(c5)), c3) = c4) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['554'])). 318.63/46.69 tff('556', plain, 318.63/46.69 (c2 = c4) <= ((g(s(s(c5)), c3) = c2) & (g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['551', '555'])). 318.63/46.69 tff('557', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('558', plain, ~ (g(s(s(c5)), c3) = c2) | ~ (g(s(s(c5)), c3) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['556', '557'])). 318.63/46.69 tff('559', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c4, s(X0)) = c4 318.63/46.69 | g(c5, X0) = c3 318.63/46.69 | g(c4, X0) = c3 318.63/46.69 | g(c4, X0) = c5 318.63/46.69 | g(c4, X0) = c4), 318.63/46.69 inference('simplify', [status(thm)], ['391'])). 318.63/46.69 tff('560', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c5, X0) = c3 318.63/46.69 | g(c4, X0) = c3 318.63/46.69 | g(c4, X0) = c5 318.63/46.69 | g(c4, X0) = c4 318.63/46.69 | g(c4, X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['257', '258'])). 318.63/46.69 tff('561', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.69 tff('562', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c4, c8) = c4 318.63/46.69 | g(c4, c8) = c5 318.63/46.69 | g(c4, c8) = c3 318.63/46.69 | g(c5, c8) = c3 318.63/46.69 | g(c4, s(s(c5))) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['560', '561'])). 318.63/46.69 tff('563', plain, (g(c4, s(s(c5))) = c2) <= ((g(c4, s(s(c5))) = c2)), 318.63/46.69 inference('split', [status(esa)], ['562'])). 318.63/46.69 tff('564', plain, 318.63/46.69 ((c4 = c2 318.63/46.69 | g(c4, s(c5)) = c4 318.63/46.69 | g(c4, s(c5)) = c5 318.63/46.69 | g(c4, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c3)) <= ((g(c4, s(s(c5))) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['559', '563'])). 318.63/46.69 tff('565', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('566', plain, 318.63/46.69 ((g(c4, s(c5)) = c4 318.63/46.69 | g(c4, s(c5)) = c5 318.63/46.69 | g(c4, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c3)) <= ((g(c4, s(s(c5))) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['564', '565'])). 318.63/46.69 tff('567', plain, (g(c5, s(c5)) = c3) <= ((g(c5, s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['566'])). 318.63/46.69 tff('568', plain, (g(s(c5), s(c5)) = c3) <= ((g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['240'])). 318.63/46.69 tff('569', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('570', plain, 318.63/46.69 ((c3 != c3 | g(c5, s(c5)) = c1)) <= ((g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['568', '569'])). 318.63/46.69 tff('571', plain, (g(c5, s(c5)) = c1) <= ((g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['570'])). 318.63/46.69 tff('572', plain, 318.63/46.69 (c3 = c1) <= ((g(c5, s(c5)) = c3) & (g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['567', '571'])). 318.63/46.69 tff('573', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('574', plain, ~ (g(s(c5), s(c5)) = c3) | ~ (g(c5, s(c5)) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['572', '573'])). 318.63/46.69 tff('575', plain, (g(s(s(c5)), s(c5)) = c1) <= ((g(c8, s(c5)) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['361'])). 318.63/46.69 tff('576', plain, 318.63/46.69 (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['537'])). 318.63/46.69 tff('577', plain, 318.63/46.69 (c1 = c2) <= ((g(c8, s(c5)) = c3) & (g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['575', '576'])). 318.63/46.69 tff('578', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('579', plain, ~ (g(c8, s(c5)) = c3) | ~ (g(s(s(c5)), s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['577', '578'])). 318.63/46.69 tff('580', plain, (g(s(c5), c4) = c4) <= ((g(s(c5), c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['340'])). 318.63/46.69 tff('581', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('582', plain, (g(s(s(c5)), c5) = c4) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['331'])). 318.63/46.69 tff('583', plain, 318.63/46.69 ((c3 = c4 318.63/46.69 | g(s(c5), c5) = c3 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c2)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['581', '582'])). 318.63/46.69 tff('584', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('585', plain, 318.63/46.69 ((g(s(c5), c5) = c3 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c2)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['583', '584'])). 318.63/46.69 tff('586', plain, (g(s(c5), c5) = c4) <= ((g(s(c5), c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['585'])). 318.63/46.69 tff('587', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.69 tff('588', plain, ((c4 != c4 | g(s(c5), c4) = c2)) <= ((g(s(c5), c5) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['586', '587'])). 318.63/46.69 tff('589', plain, (g(s(c5), c4) = c2) <= ((g(s(c5), c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['588'])). 318.63/46.69 tff('590', plain, (c4 = c2) <= ((g(s(c5), c4) = c4) & (g(s(c5), c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['580', '589'])). 318.63/46.69 tff('591', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('592', plain, ~ (g(s(c5), c4) = c4) | ~ (g(s(c5), c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['590', '591'])). 318.63/46.69 tff('593', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c5, X0) = c3 318.63/46.69 | g(c4, X0) = c3 318.63/46.69 | g(c4, X0) = c5 318.63/46.69 | g(c4, X0) = c4 318.63/46.69 | g(c4, X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['257', '258'])). 318.63/46.69 tff('594', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('595', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c4, c4) = c4 318.63/46.69 | g(c4, c4) = c5 318.63/46.69 | g(c4, c4) = c3 318.63/46.69 | g(c5, c4) = c3 318.63/46.69 | g(c4, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['593', '594'])). 318.63/46.69 tff('596', plain, (g(c5, c4) = c3) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('597', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('598', plain, ((c3 != c1 | g(s(c5), c4) = c3)) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['596', '597'])). 318.63/46.69 tff('599', plain, (g(s(c5), c4) = c3) <= ((g(s(c5), c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['598'])). 318.63/46.69 tff('600', plain, (g(s(c5), c4) = c2) <= ((g(s(c5), c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['588'])). 318.63/46.69 tff('601', plain, (c3 = c2) <= ((g(s(c5), c4) = c3) & (g(s(c5), c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['599', '600'])). 318.63/46.69 tff('602', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('603', plain, ~ (g(s(c5), c4) = c3) | ~ (g(s(c5), c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['601', '602'])). 318.63/46.69 tff('604', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('605', plain, (g(s(c5), c4) = c2) <= ((g(s(c5), c4) = c2)), 318.63/46.69 inference('split', [status(esa)], ['340'])). 318.63/46.69 tff('606', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c5, c4) = c3 318.63/46.69 | g(c5, c4) = c5 318.63/46.69 | g(c5, c4) = c4 318.63/46.69 | g(c5, c4) = c2)) <= ((g(s(c5), c4) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['604', '605'])). 318.63/46.69 tff('607', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('608', plain, 318.63/46.69 ((g(c5, c4) = c3 | g(c5, c4) = c5 | g(c5, c4) = c4 | g(c5, c4) = c2)) 318.63/46.69 <= ((g(s(c5), c4) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['606', '607'])). 318.63/46.69 tff('609', plain, 318.63/46.69 ~ (g(s(c5), c4) = c2) | (g(c5, c4) = c2) | (g(c5, c4) = c5) | 318.63/46.69 (g(c5, c4) = c4) | (g(c5, c4) = c3), 318.63/46.69 inference('split', [status(esa)], ['608'])). 318.63/46.69 tff('610', plain, (g(s(c5), s(s(c5))) = c5) <= ((g(s(c5), s(s(c5))) = c5)), 318.63/46.69 inference('split', [status(esa)], ['226'])). 318.63/46.69 tff('611', plain, 318.63/46.69 (g(s(c5), s(s(c5))) = c1) <= ((g(s(s(c5)), s(s(c5))) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['546'])). 318.63/46.69 tff('612', plain, 318.63/46.69 (c5 = c1) <= ((g(s(c5), s(s(c5))) = c5) & (g(s(s(c5)), s(s(c5))) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['610', '611'])). 318.63/46.69 tff('613', plain, c1 != c5, inference('demod', [status(thm)], ['129', '130'])). 318.63/46.69 tff('614', plain, 318.63/46.69 ~ (g(s(c5), s(s(c5))) = c5) | ~ (g(s(s(c5)), s(s(c5))) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['612', '613'])). 318.63/46.69 tff('615', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('616', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), X0) = c1 318.63/46.69 | g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['377'])). 318.63/46.69 tff('617', plain, 318.63/46.69 ((c3 = c4 318.63/46.69 | g(c8, s(c5)) = c3 318.63/46.69 | g(s(s(c5)), s(c5)) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c2 318.63/46.69 | g(s(c5), s(s(c5))) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c3 318.63/46.69 | g(s(c5), s(c5)) = c1)) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['615', '616'])). 318.63/46.69 tff('618', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('619', plain, 318.63/46.69 ((g(c8, s(c5)) = c3 318.63/46.69 | g(s(s(c5)), s(c5)) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c2 318.63/46.69 | g(s(c5), s(s(c5))) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c3 318.63/46.69 | g(s(c5), s(c5)) = c1)) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['617', '618'])). 318.63/46.69 tff('620', plain, 318.63/46.69 (g(s(c5), s(c5)) = c1) | ~ (g(s(s(c5)), s(c5)) = c3) | 318.63/46.69 (g(s(c5), s(s(c5))) = c2) | (g(s(c5), s(s(c5))) = c3) | 318.63/46.69 (g(s(c5), s(s(c5))) = c5) | (g(s(s(c5)), s(c5)) = c5) | 318.63/46.69 (g(s(c5), s(s(c5))) = c4) | (g(c8, s(c5)) = c3), 318.63/46.69 inference('split', [status(esa)], ['619'])). 318.63/46.69 tff('621', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('622', plain, 318.63/46.69 (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['537'])). 318.63/46.69 tff('623', plain, 318.63/46.69 (c3 = c2) <= ((g(s(s(c5)), s(c5)) = c3) & (g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['621', '622'])). 318.63/46.69 tff('624', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('625', plain, 318.63/46.69 ~ (g(s(s(c5)), s(s(c5))) = c4) | ~ (g(s(s(c5)), s(c5)) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['623', '624'])). 318.63/46.69 tff('626', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('627', plain, (g(s(s(c5)), s(c5)) = c5) <= ((g(s(s(c5)), s(c5)) = c5)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('628', plain, 318.63/46.69 (c3 = c5) <= ((g(s(s(c5)), s(c5)) = c3) & (g(s(s(c5)), s(c5)) = c5)), 318.63/46.69 inference('sup+', [status(thm)], ['626', '627'])). 318.63/46.69 tff('629', plain, c5 != c3, inference('sup-', [status(thm)], ['311', '312'])). 318.63/46.69 tff('630', plain, ~ (g(s(s(c5)), s(c5)) = c5) | ~ (g(s(s(c5)), s(c5)) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['628', '629'])). 318.63/46.69 tff('631', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, X0) = c2 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['14'])). 318.63/46.69 tff('632', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.69 tff('633', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c8, c5) = c3 318.63/46.69 | g(c8, c5) = c5 318.63/46.69 | g(c8, c5) = c4 318.63/46.69 | g(c8, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['631', '632'])). 318.63/46.69 tff('634', plain, (g(c8, c5) = c4) <= ((g(c8, c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['633'])). 318.63/46.69 tff('635', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('636', plain, ((c4 != c2 | g(c8, s(c5)) = c4)) <= ((g(c8, c5) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['634', '635'])). 318.63/46.69 tff('637', plain, (g(c8, s(c5)) = c4) <= ((g(c8, s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['636'])). 318.63/46.69 tff('638', plain, s(s(s(c5))) = c8, 318.63/46.69 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.69 tff('639', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, X0) = c2 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['14'])). 318.63/46.69 tff('640', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('641', plain, 318.63/46.69 ![X0]: 318.63/46.69 (c2 != c2 318.63/46.69 | g(c8, X0) = c3 318.63/46.69 | g(c8, X0) = c5 318.63/46.69 | g(c8, X0) = c4 318.63/46.69 | g(c8, s(X0)) = c4), 318.63/46.69 inference('sup-', [status(thm)], ['639', '640'])). 318.63/46.69 tff('642', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, s(X0)) = c4 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['641'])). 318.63/46.69 tff('643', plain, 318.63/46.69 (g(c8, c8) = c4 318.63/46.69 | g(c8, s(s(c5))) = c3 318.63/46.69 | g(c8, s(s(c5))) = c5 318.63/46.69 | g(c8, s(s(c5))) = c4), 318.63/46.69 inference('sup+', [status(thm)], ['638', '642'])). 318.63/46.69 tff('644', plain, g(c8, c8) = c5, 318.63/46.69 inference('sup-', [status(thm)], ['62', '63'])). 318.63/46.69 tff('645', plain, 318.63/46.69 (c5 = c4 318.63/46.69 | g(c8, s(s(c5))) = c3 318.63/46.69 | g(c8, s(s(c5))) = c5 318.63/46.69 | g(c8, s(s(c5))) = c4), 318.63/46.69 inference('demod', [status(thm)], ['643', '644'])). 318.63/46.69 tff('646', plain, c5 != c4, inference('sup-', [status(thm)], ['320', '321'])). 318.63/46.69 tff('647', plain, 318.63/46.69 (g(c8, s(s(c5))) = c3 | g(c8, s(s(c5))) = c5 | g(c8, s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['645', '646'])). 318.63/46.69 tff('648', plain, (g(c8, s(s(c5))) = c4) <= ((g(c8, s(s(c5))) = c4)), 318.63/46.69 inference('split', [status(esa)], ['647'])). 318.63/46.69 tff('649', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('650', plain, 318.63/46.69 ((c4 != c4 | g(c8, s(c5)) = c2)) <= ((g(c8, s(s(c5))) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['648', '649'])). 318.63/46.69 tff('651', plain, (g(c8, s(c5)) = c2) <= ((g(c8, s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['650'])). 318.63/46.69 tff('652', plain, 318.63/46.69 (c4 = c2) <= ((g(c8, s(s(c5))) = c4) & (g(c8, s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['637', '651'])). 318.63/46.69 tff('653', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('654', plain, ~ (g(c8, s(c5)) = c4) | ~ (g(c8, s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['652', '653'])). 318.63/46.69 tff('655', plain, 318.63/46.69 (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['537'])). 318.63/46.69 tff('656', plain, (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(c5)) = c2)), 318.63/46.69 inference('split', [status(esa)], ['236'])). 318.63/46.69 tff('657', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('658', plain, 318.63/46.69 ((c2 != c4 | g(s(s(c5)), c5) = c2)) <= ((g(s(s(c5)), s(c5)) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['656', '657'])). 318.63/46.69 tff('659', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), c5) = c2)), 318.63/46.69 inference('split', [status(esa)], ['658'])). 318.63/46.69 tff('660', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('661', plain, 318.63/46.69 ((c2 != c2 | g(s(s(c5)), s(c5)) = c4)) <= ((g(s(s(c5)), c5) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['659', '660'])). 318.63/46.69 tff('662', plain, (g(s(s(c5)), s(c5)) = c4) <= ((g(s(s(c5)), c5) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['661'])). 318.63/46.69 tff('663', plain, 318.63/46.69 (c2 = c4) <= ((g(s(s(c5)), s(s(c5))) = c4) & (g(s(s(c5)), c5) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['655', '662'])). 318.63/46.69 tff('664', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('665', plain, ~ (g(s(s(c5)), c5) = c2) | ~ (g(s(s(c5)), s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['663', '664'])). 318.63/46.69 tff('666', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('667', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c4, s(X0)) = c4 318.63/46.69 | g(c5, X0) = c3 318.63/46.69 | g(c4, X0) = c3 318.63/46.69 | g(c4, X0) = c5 318.63/46.69 | g(c4, X0) = c4), 318.63/46.69 inference('simplify', [status(thm)], ['391'])). 318.63/46.69 tff('668', plain, 318.63/46.69 (g(c4, c5) = c4 318.63/46.69 | g(c4, c4) = c4 318.63/46.69 | g(c4, c4) = c5 318.63/46.69 | g(c4, c4) = c3 318.63/46.69 | g(c5, c4) = c3), 318.63/46.69 inference('sup+', [status(thm)], ['666', '667'])). 318.63/46.69 tff('669', plain, 318.63/46.69 (g(c4, c5) = c4) | (g(c4, c4) = c4) | (g(c4, c4) = c3) | 318.63/46.69 (g(c5, c4) = c3) | (g(c4, c4) = c5), 318.63/46.69 inference('split', [status(esa)], ['668'])). 318.63/46.69 tff('670', plain, (g(c4, c4) = c2) <= ((g(c4, c4) = c2)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('671', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('672', plain, 318.63/46.69 ((c2 != c5 | zip_tseitin_2(c4, c4))) <= ((g(c4, c4) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['670', '671'])). 318.63/46.69 tff('673', plain, ( zip_tseitin_2(c4, c4)) <= (( zip_tseitin_2(c4, c4))), 318.63/46.69 inference('split', [status(esa)], ['672'])). 318.63/46.69 tff('674', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('675', plain, 318.63/46.69 (( zip_tseitin_1(c4, c4) | zip_tseitin_0(c4, c4))) 318.63/46.69 <= (( zip_tseitin_2(c4, c4))), 318.63/46.69 inference('sup-', [status(thm)], ['673', '674'])). 318.63/46.69 tff('676', plain, ( zip_tseitin_1(c4, c4)) <= (( zip_tseitin_1(c4, c4))), 318.63/46.69 inference('split', [status(esa)], ['675'])). 318.63/46.69 tff('677', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('678', plain, (c4 = c8) <= (( zip_tseitin_1(c4, c4))), 318.63/46.69 inference('sup-', [status(thm)], ['676', '677'])). 318.63/46.69 tff('679', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('680', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('681', plain, s(s(s(c5))) != c4, 318.63/46.69 inference('sup-', [status(thm)], ['679', '680'])). 318.63/46.69 tff('682', plain, s(s(s(c5))) = c8, 318.63/46.69 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.69 tff('683', plain, c8 != c4, inference('demod', [status(thm)], ['681', '682'])). 318.63/46.69 tff('684', plain, ~ ( zip_tseitin_1(c4, c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['678', '683'])). 318.63/46.69 tff('685', plain, ( zip_tseitin_0(c4, c4)) <= (( zip_tseitin_0(c4, c4))), 318.63/46.69 inference('split', [status(esa)], ['675'])). 318.63/46.69 tff('686', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('687', plain, (c4 = c1) <= (( zip_tseitin_0(c4, c4))), 318.63/46.69 inference('sup-', [status(thm)], ['685', '686'])). 318.63/46.69 tff('688', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('689', plain, ~ ( zip_tseitin_0(c4, c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['687', '688'])). 318.63/46.69 tff('690', plain, (g(c4, c4) = c5) <= ((g(c4, c4) = c5)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('691', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('692', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c4, c4))) <= ((g(c4, c4) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['690', '691'])). 318.63/46.69 tff('693', plain, ( zip_tseitin_2(c4, c4)) <= ((g(c4, c4) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['692'])). 318.63/46.69 tff('694', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('695', plain, 318.63/46.69 (( zip_tseitin_1(c4, c4) | zip_tseitin_0(c4, c4))) <= ((g(c4, c4) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['693', '694'])). 318.63/46.69 tff('696', plain, 318.63/46.69 ~ (g(c4, c4) = c5) | ( zip_tseitin_0(c4, c4)) | ( zip_tseitin_1(c4, c4)), 318.63/46.69 inference('split', [status(esa)], ['695'])). 318.63/46.69 tff('697', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('698', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['369'])). 318.63/46.69 tff('699', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(s(c5), c4) = c3 318.63/46.69 | g(s(c5), c4) = c5 318.63/46.69 | g(s(c5), c4) = c4 318.63/46.69 | g(s(c5), c4) = c2)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['697', '698'])). 318.63/46.69 tff('700', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('701', plain, 318.63/46.69 ((g(s(c5), c4) = c3 318.63/46.69 | g(s(c5), c4) = c5 318.63/46.69 | g(s(c5), c4) = c4 318.63/46.69 | g(s(c5), c4) = c2)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['699', '700'])). 318.63/46.69 tff('702', plain, 318.63/46.69 ~ (g(s(s(c5)), c5) = c4) | (g(s(c5), c4) = c2) | (g(s(c5), c4) = c5) | 318.63/46.69 (g(s(c5), c4) = c4) | (g(s(c5), c4) = c3), 318.63/46.69 inference('split', [status(esa)], ['701'])). 318.63/46.69 tff('703', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('704', plain, (g(s(s(c5)), c4) = c1) <= ((g(c8, c4) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['469'])). 318.63/46.69 tff('705', plain, 318.63/46.69 ((c3 = c1 318.63/46.69 | g(s(c5), c4) = c3 318.63/46.69 | g(s(c5), c4) = c5 318.63/46.69 | g(s(c5), c4) = c4 318.63/46.69 | g(s(c5), c4) = c2)) <= ((g(c8, c4) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['703', '704'])). 318.63/46.69 tff('706', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('707', plain, 318.63/46.69 ((g(s(c5), c4) = c3 318.63/46.69 | g(s(c5), c4) = c5 318.63/46.69 | g(s(c5), c4) = c4 318.63/46.69 | g(s(c5), c4) = c2)) <= ((g(c8, c4) = c3)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['705', '706'])). 318.63/46.69 tff('708', plain, 318.63/46.69 ~ (g(c8, c4) = c3) | (g(s(c5), c4) = c2) | (g(s(c5), c4) = c5) | 318.63/46.69 (g(s(c5), c4) = c4) | (g(s(c5), c4) = c3), 318.63/46.69 inference('split', [status(esa)], ['707'])). 318.63/46.69 tff('709', plain, (g(s(c5), c4) = c3) <= ((g(s(c5), c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['598'])). 318.63/46.69 tff('710', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('711', plain, 318.63/46.69 ((c3 != c5 | zip_tseitin_2(c4, s(c5)))) <= ((g(s(c5), c4) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['709', '710'])). 318.63/46.69 tff('712', plain, 318.63/46.69 ( zip_tseitin_2(c4, s(c5))) <= (( zip_tseitin_2(c4, s(c5)))), 318.63/46.69 inference('split', [status(esa)], ['711'])). 318.63/46.69 tff('713', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('714', plain, 318.63/46.69 (( zip_tseitin_1(c4, s(c5)) | zip_tseitin_0(c4, s(c5)))) 318.63/46.69 <= (( zip_tseitin_2(c4, s(c5)))), 318.63/46.69 inference('sup-', [status(thm)], ['712', '713'])). 318.63/46.69 tff('715', plain, 318.63/46.69 ( zip_tseitin_1(c4, s(c5))) <= (( zip_tseitin_1(c4, s(c5)))), 318.63/46.69 inference('split', [status(esa)], ['714'])). 318.63/46.69 tff('716', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('717', plain, (c4 = c8) <= (( zip_tseitin_1(c4, s(c5)))), 318.63/46.69 inference('sup-', [status(thm)], ['715', '716'])). 318.63/46.69 tff('718', plain, c8 != c4, inference('demod', [status(thm)], ['681', '682'])). 318.63/46.69 tff('719', plain, ~ ( zip_tseitin_1(c4, s(c5))), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['717', '718'])). 318.63/46.69 tff('720', plain, 318.63/46.69 ( zip_tseitin_0(c4, s(c5))) <= (( zip_tseitin_0(c4, s(c5)))), 318.63/46.69 inference('split', [status(esa)], ['714'])). 318.63/46.69 tff('721', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('722', plain, (c4 = c1) <= (( zip_tseitin_0(c4, s(c5)))), 318.63/46.69 inference('sup-', [status(thm)], ['720', '721'])). 318.63/46.69 tff('723', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('724', plain, ~ ( zip_tseitin_0(c4, s(c5))), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['722', '723'])). 318.63/46.69 tff('725', plain, (g(s(c5), c4) = c5) <= ((g(s(c5), c4) = c5)), 318.63/46.69 inference('split', [status(esa)], ['340'])). 318.63/46.69 tff('726', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('727', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c4, s(c5)))) <= ((g(s(c5), c4) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['725', '726'])). 318.63/46.69 tff('728', plain, ( zip_tseitin_2(c4, s(c5))) <= ((g(s(c5), c4) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['727'])). 318.63/46.69 tff('729', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('730', plain, 318.63/46.69 (( zip_tseitin_1(c4, s(c5)) | zip_tseitin_0(c4, s(c5)))) 318.63/46.69 <= ((g(s(c5), c4) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['728', '729'])). 318.63/46.69 tff('731', plain, 318.63/46.69 ~ (g(s(c5), c4) = c5) | ( zip_tseitin_0(c4, s(c5))) | 318.63/46.69 ( zip_tseitin_1(c4, s(c5))), inference('split', [status(esa)], ['730'])). 318.63/46.69 tff('732', plain, (g(c5, c4) = c3) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('733', plain, (g(s(c5), c4) = c3) <= ((g(s(c5), c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['598'])). 318.63/46.69 tff('734', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('735', plain, ((c3 != c3 | g(c5, c4) = c1)) <= ((g(s(c5), c4) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['733', '734'])). 318.63/46.69 tff('736', plain, (g(c5, c4) = c1) <= ((g(s(c5), c4) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['735'])). 318.63/46.69 tff('737', plain, (c3 = c1) <= ((g(c5, c4) = c3) & (g(s(c5), c4) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['732', '736'])). 318.63/46.69 tff('738', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('739', plain, ~ (g(s(c5), c4) = c3) | ~ (g(c5, c4) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['737', '738'])). 318.63/46.69 tff('740', plain, (g(s(c5), c5) = c2) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('split', [status(esa)], ['585'])). 318.63/46.69 tff('741', plain, (g(s(c5), c5) = c4) <= ((g(s(c5), c4) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['345'])). 318.63/46.69 tff('742', plain, (c2 = c4) <= ((g(s(c5), c4) = c2) & (g(s(c5), c5) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['740', '741'])). 318.63/46.69 tff('743', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('744', plain, ~ (g(s(c5), c4) = c2) | ~ (g(s(c5), c5) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['742', '743'])). 318.63/46.69 tff('745', plain, (g(s(s(c5)), s(c5)) = c1) <= ((g(c8, s(c5)) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['361'])). 318.63/46.69 tff('746', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('simplify', [status(thm)], ['505'])). 318.63/46.69 tff('747', plain, 318.63/46.69 (c1 = c3) <= ((g(c8, s(c5)) = c3) & (g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['745', '746'])). 318.63/46.69 tff('748', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('749', plain, ~ (g(c8, s(c5)) = c3) | ~ (g(s(c5), s(c5)) = c1), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['747', '748'])). 318.63/46.69 tff('750', plain, (g(c5, c5) = c3) <= ((g(c5, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('751', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('752', plain, ((c3 != c2 | g(c5, s(c5)) = c4)) <= ((g(c5, c5) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['750', '751'])). 318.63/46.69 tff('753', plain, (g(c5, s(c5)) = c4) <= ((g(c5, s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['752'])). 318.63/46.69 tff('754', plain, (g(c5, s(c5)) = c1) <= ((g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['570'])). 318.63/46.69 tff('755', plain, 318.63/46.69 (c4 = c1) <= ((g(c5, s(c5)) = c4) & (g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['753', '754'])). 318.63/46.69 tff('756', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('757', plain, ~ (g(s(c5), s(c5)) = c3) | ~ (g(c5, s(c5)) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['755', '756'])). 318.63/46.69 tff('758', plain, (g(s(s(c5)), s(c5)) = c4) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('759', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('760', plain, 318.63/46.69 (c4 = c3) <= ((g(s(s(c5)), s(c5)) = c4) & (g(s(s(c5)), s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['758', '759'])). 318.63/46.69 tff('761', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('762', plain, ~ (g(s(s(c5)), s(c5)) = c4) | ~ (g(s(s(c5)), s(c5)) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['760', '761'])). 318.63/46.69 tff('763', plain, (g(s(c5), c3) = c3) <= ((g(s(c5), c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['412'])). 318.63/46.69 tff('764', plain, (g(s(c5), c4) = c4) <= ((g(s(c5), c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['340'])). 318.63/46.69 tff('765', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('766', plain, ((c4 != c4 | g(s(c5), c3) = c2)) <= ((g(s(c5), c4) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['764', '765'])). 318.63/46.69 tff('767', plain, (g(s(c5), c3) = c2) <= ((g(s(c5), c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['766'])). 318.63/46.69 tff('768', plain, (c3 = c2) <= ((g(s(c5), c3) = c3) & (g(s(c5), c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['763', '767'])). 318.63/46.69 tff('769', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('770', plain, ~ (g(s(c5), c4) = c4) | ~ (g(s(c5), c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['768', '769'])). 318.63/46.69 tff('771', plain, (g(s(c5), c3) = c3) <= ((g(s(c5), c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['412'])). 318.63/46.69 tff('772', plain, (g(s(c5), c3) = c4) <= ((g(s(c5), c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['418'])). 318.63/46.69 tff('773', plain, (c3 = c4) <= ((g(s(c5), c3) = c3) & (g(s(c5), c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['771', '772'])). 318.63/46.69 tff('774', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('775', plain, ~ (g(s(c5), c3) = c4) | ~ (g(s(c5), c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['773', '774'])). 318.63/46.69 tff('776', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['373', '374'])). 318.63/46.69 tff('777', plain, (g(s(s(c5)), c4) = c4) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['293'])). 318.63/46.69 tff('778', plain, 318.63/46.69 ((c3 = c4 318.63/46.69 | g(c8, c4) = c3 318.63/46.69 | g(s(s(c5)), c4) = c5 318.63/46.69 | g(s(s(c5)), c4) = c4 318.63/46.69 | g(s(c5), s(c4)) = c2 318.63/46.69 | g(s(c5), s(c4)) = c4 318.63/46.69 | g(s(c5), s(c4)) = c5 318.63/46.69 | g(s(c5), s(c4)) = c3)) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['776', '777'])). 318.63/46.69 tff('779', plain, (g(s(s(c5)), c4) = c4) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['293'])). 318.63/46.69 tff('780', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('781', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('782', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('783', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('784', plain, 318.63/46.69 ((c3 = c4 318.63/46.69 | g(c8, c4) = c3 318.63/46.69 | c4 = c5 318.63/46.69 | g(s(s(c5)), c4) = c4 318.63/46.69 | g(s(c5), c5) = c2 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c3)) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('demod', [status(thm)], 318.63/46.69 ['778', '779', '780', '781', '782', '783'])). 318.63/46.69 tff('785', plain, c5 != c4, inference('sup-', [status(thm)], ['320', '321'])). 318.63/46.69 tff('786', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('787', plain, 318.63/46.69 ((g(c8, c4) = c3 318.63/46.69 | g(s(s(c5)), c4) = c4 318.63/46.69 | g(s(c5), c5) = c2 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c3)) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['784', '785', '786'])). 318.63/46.69 tff('788', plain, 318.63/46.69 ~ (g(s(s(c5)), c3) = c2) | (g(c8, c4) = c3) | (g(s(c5), c5) = c3) | 318.63/46.69 (g(s(c5), c5) = c2) | (g(s(c5), c5) = c4) | (g(s(s(c5)), c4) = c4) | 318.63/46.69 (g(s(c5), c5) = c5), inference('split', [status(esa)], ['787'])). 318.63/46.69 tff('789', plain, (g(s(c5), c4) = c1) <= ((g(s(c5), c4) = c1)), 318.63/46.69 inference('split', [status(esa)], ['437'])). 318.63/46.69 tff('790', plain, (g(s(c5), c3) = c2) <= ((g(s(c5), c3) = c2)), 318.63/46.69 inference('split', [status(esa)], ['418'])). 318.63/46.69 tff('791', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('792', plain, 318.63/46.69 ((c2 != c2 | g(s(c5), s(c3)) = c4)) <= ((g(s(c5), c3) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['790', '791'])). 318.63/46.69 tff('793', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('794', plain, ((c2 != c2 | g(s(c5), c4) = c4)) <= ((g(s(c5), c3) = c2)), 318.63/46.69 inference('demod', [status(thm)], ['792', '793'])). 318.63/46.69 tff('795', plain, (g(s(c5), c4) = c4) <= ((g(s(c5), c3) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['794'])). 318.63/46.69 tff('796', plain, (c1 = c4) <= ((g(s(c5), c4) = c1) & (g(s(c5), c3) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['789', '795'])). 318.63/46.69 tff('797', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('798', plain, ~ (g(s(c5), c4) = c1) | ~ (g(s(c5), c3) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['796', '797'])). 318.63/46.69 tff('799', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), X0) = c1 318.63/46.69 | g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['377'])). 318.63/46.69 tff('800', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('801', plain, 318.63/46.69 (c4 != c4 318.63/46.69 | g(c8, c1) = c3 318.63/46.69 | g(s(s(c5)), c1) = c5 318.63/46.69 | g(s(c5), s(c1)) = c2 318.63/46.69 | g(s(c5), s(c1)) = c4 318.63/46.69 | g(s(c5), s(c1)) = c5 318.63/46.69 | g(s(c5), s(c1)) = c3 318.63/46.69 | g(s(c5), c1) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['799', '800'])). 318.63/46.69 tff('802', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('803', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('804', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('805', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('806', plain, 318.63/46.69 (c4 != c4 318.63/46.69 | g(c8, c1) = c3 318.63/46.69 | g(s(s(c5)), c1) = c5 318.63/46.69 | g(s(c5), c2) = c2 318.63/46.69 | g(s(c5), c2) = c4 318.63/46.69 | g(s(c5), c2) = c5 318.63/46.69 | g(s(c5), c2) = c3 318.63/46.69 | g(s(c5), c1) = c1), 318.63/46.69 inference('demod', [status(thm)], ['801', '802', '803', '804', '805'])). 318.63/46.69 tff('807', plain, 318.63/46.69 (g(s(c5), c1) = c1 318.63/46.69 | g(s(c5), c2) = c3 318.63/46.69 | g(s(c5), c2) = c5 318.63/46.69 | g(s(c5), c2) = c4 318.63/46.69 | g(s(c5), c2) = c2 318.63/46.69 | g(s(s(c5)), c1) = c5 318.63/46.69 | g(c8, c1) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['806'])). 318.63/46.69 tff('808', plain, 318.63/46.69 (g(c8, c1) = c3) | (g(s(c5), c2) = c4) | (g(s(c5), c2) = c2) | 318.63/46.69 (g(s(c5), c2) = c3) | (g(s(c5), c1) = c1) | (g(s(c5), c2) = c5) | 318.63/46.69 (g(s(s(c5)), c1) = c5), inference('split', [status(esa)], ['807'])). 318.63/46.69 tff('809', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('810', plain, (g(s(s(c5)), c1) = c2) <= ((g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('split', [status(esa)], ['522'])). 318.63/46.69 tff('811', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('812', plain, 318.63/46.69 ((c2 != c5 | zip_tseitin_2(c1, s(s(c5))))) <= ((g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['810', '811'])). 318.63/46.69 tff('813', plain, 318.63/46.69 ( zip_tseitin_2(c1, s(s(c5)))) <= (( zip_tseitin_2(c1, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['812'])). 318.63/46.69 tff('814', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('815', plain, 318.63/46.69 (( zip_tseitin_1(c1, s(s(c5))) | zip_tseitin_0(c1, s(s(c5))))) 318.63/46.69 <= (( zip_tseitin_2(c1, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['813', '814'])). 318.63/46.69 tff('816', plain, 318.63/46.69 ( zip_tseitin_1(c1, s(s(c5)))) <= (( zip_tseitin_1(c1, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['815'])). 318.63/46.69 tff('817', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('818', plain, (c1 = c8) <= (( zip_tseitin_1(c1, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['816', '817'])). 318.63/46.69 tff('819', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('820', plain, (c1 = s(c1)) <= (( zip_tseitin_1(c1, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['818', '819'])). 318.63/46.69 tff('821', plain, (c1 = c2) <= (( zip_tseitin_1(c1, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['809', '820'])). 318.63/46.69 tff('822', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('823', plain, ~ ( zip_tseitin_1(c1, s(s(c5)))), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['821', '822'])). 318.63/46.69 tff('824', plain, 318.63/46.69 ( zip_tseitin_0(c1, s(s(c5)))) <= (( zip_tseitin_0(c1, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['815'])). 318.63/46.69 tff('825', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('826', plain, (s(s(c5)) = c1) <= (( zip_tseitin_0(c1, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['824', '825'])). 318.63/46.69 tff('827', plain, s(s(s(c5))) = c8, 318.63/46.69 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.69 tff('828', plain, (s(c1) = c8) <= (( zip_tseitin_0(c1, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['826', '827'])). 318.63/46.69 tff('829', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('830', plain, (s(s(s(c8))) != c1) <= (( zip_tseitin_0(c1, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['828', '829'])). 318.63/46.69 tff('831', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('832', plain, (s(c1) = c8) <= (( zip_tseitin_0(c1, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['826', '827'])). 318.63/46.69 tff('833', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('834', plain, (c1 != c1) <= (( zip_tseitin_0(c1, s(s(c5))))), 318.63/46.69 inference('demod', [status(thm)], ['830', '831', '832', '833'])). 318.63/46.69 tff('835', plain, ~ ( zip_tseitin_0(c1, s(s(c5)))), 318.63/46.69 inference('simplify', [status(thm)], ['834'])). 318.63/46.69 tff('836', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['111', '112'])). 318.63/46.69 tff('837', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('838', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(s(s(c5)), c1) = c4 318.63/46.69 | g(s(s(c5)), c1) = c5 318.63/46.69 | g(s(s(c5)), c1) = c3 318.63/46.69 | g(c8, c1) = c3), 318.63/46.69 inference('sup-', [status(thm)], ['836', '837'])). 318.63/46.69 tff('839', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('840', plain, 318.63/46.69 (c2 != c4 | g(s(s(c5)), c1) = c5 | g(s(s(c5)), c1) = c3 | g(c8, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['838', '839'])). 318.63/46.69 tff('841', plain, (g(s(s(c5)), c1) = c5) <= ((g(s(s(c5)), c1) = c5)), 318.63/46.69 inference('split', [status(esa)], ['840'])). 318.63/46.69 tff('842', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('843', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c1, s(s(c5))))) <= ((g(s(s(c5)), c1) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['841', '842'])). 318.63/46.69 tff('844', plain, ( zip_tseitin_2(c1, s(s(c5)))) <= ((g(s(s(c5)), c1) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['843'])). 318.63/46.69 tff('845', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('846', plain, 318.63/46.69 (( zip_tseitin_1(c1, s(s(c5))) | zip_tseitin_0(c1, s(s(c5))))) 318.63/46.69 <= ((g(s(s(c5)), c1) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['844', '845'])). 318.63/46.69 tff('847', plain, 318.63/46.69 ~ (g(s(s(c5)), c1) = c5) | ( zip_tseitin_0(c1, s(s(c5)))) | 318.63/46.69 ( zip_tseitin_1(c1, s(s(c5)))), 318.63/46.69 inference('split', [status(esa)], ['846'])). 318.63/46.69 tff('848', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('849', plain, (g(s(s(c5)), c1) = c2) <= ((g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('split', [status(esa)], ['522'])). 318.63/46.69 tff('850', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('851', plain, 318.63/46.69 ((c2 != c3 | g(s(c5), c1) = c1)) <= ((g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['849', '850'])). 318.63/46.69 tff('852', plain, (g(s(c5), c1) = c1) <= ((g(s(c5), c1) = c1)), 318.63/46.69 inference('split', [status(esa)], ['851'])). 318.63/46.69 tff('853', plain, 318.63/46.69 ((c3 = c1 318.63/46.69 | g(c5, c1) = c3 318.63/46.69 | g(c5, c1) = c5 318.63/46.69 | g(c5, c1) = c4 318.63/46.69 | g(c5, c1) = c2)) <= ((g(s(c5), c1) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['848', '852'])). 318.63/46.69 tff('854', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('855', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('856', plain, 318.63/46.69 ((g(c5, c1) = c3 | g(c5, c1) = c5 | g(c5, c1) = c2)) 318.63/46.69 <= ((g(s(c5), c1) = c1)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['853', '854', '855'])). 318.63/46.69 tff('857', plain, 318.63/46.69 ~ (g(s(c5), c1) = c1) | (g(c5, c1) = c2) | (g(c5, c1) = c3) | 318.63/46.69 (g(c5, c1) = c5), inference('split', [status(esa)], ['856'])). 318.63/46.69 tff('858', plain, (g(c5, s(c5)) = c4) <= ((g(c5, s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['752'])). 318.63/46.69 tff('859', plain, (g(c5, s(s(c5))) = c3) <= ((g(c5, s(s(c5))) = c3)), 318.63/46.69 inference('split', [status(esa)], ['393'])). 318.63/46.69 tff('860', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('861', plain, 318.63/46.69 ((c3 != c4 | g(c5, s(c5)) = c2)) <= ((g(c5, s(s(c5))) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['859', '860'])). 318.63/46.69 tff('862', plain, (g(c5, s(c5)) = c2) <= ((g(c5, s(c5)) = c2)), 318.63/46.69 inference('split', [status(esa)], ['861'])). 318.63/46.69 tff('863', plain, (c4 = c2) <= ((g(c5, s(c5)) = c4) & (g(c5, s(c5)) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['858', '862'])). 318.63/46.69 tff('864', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('865', plain, ~ (g(c5, s(c5)) = c4) | ~ (g(c5, s(c5)) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['863', '864'])). 318.63/46.69 tff('866', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('867', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c3, s(X0)) = c4 318.63/46.69 | g(c4, X0) = c3 318.63/46.69 | g(c3, X0) = c3 318.63/46.69 | g(c3, X0) = c5 318.63/46.69 | g(c3, X0) = c4), 318.63/46.69 inference('simplify', [status(thm)], ['8'])). 318.63/46.69 tff('868', plain, 318.63/46.69 (g(c3, c2) = c4 318.63/46.69 | g(c3, c1) = c4 318.63/46.69 | g(c3, c1) = c5 318.63/46.69 | g(c3, c1) = c3 318.63/46.69 | g(c4, c1) = c3), 318.63/46.69 inference('sup+', [status(thm)], ['866', '867'])). 318.63/46.69 tff('869', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('870', plain, 318.63/46.69 (g(c3, c2) = c4 | g(c3, c1) = c5 | g(c3, c1) = c3 | g(c4, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['868', '869'])). 318.63/46.69 tff('871', plain, 318.63/46.69 (g(c3, c1) = c3) | (g(c3, c2) = c4) | (g(c3, c1) = c5) | (g(c4, c1) = c3), 318.63/46.69 inference('split', [status(esa)], ['870'])). 318.63/46.69 tff('872', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('873', plain, (c3 = c8) <= (( zip_tseitin_1(c1, c3))), 318.63/46.69 inference('sup-', [status(thm)], ['37', '38'])). 318.63/46.69 tff('874', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('875', plain, (c1 = s(c3)) <= (( zip_tseitin_1(c1, c3))), 318.63/46.69 inference('sup+', [status(thm)], ['873', '874'])). 318.63/46.69 tff('876', plain, ( zip_tseitin_1(c1, c3)) <= (( zip_tseitin_1(c1, c3))), 318.63/46.69 inference('split', [status(esa)], ['36'])). 318.63/46.69 tff('877', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('878', plain, (c1 = c8) <= (( zip_tseitin_1(c1, c3))), 318.63/46.69 inference('sup-', [status(thm)], ['876', '877'])). 318.63/46.69 tff('879', plain, (c3 = c8) <= (( zip_tseitin_1(c1, c3))), 318.63/46.69 inference('sup-', [status(thm)], ['37', '38'])). 318.63/46.69 tff('880', plain, (c3 = c1) <= (( zip_tseitin_1(c1, c3))), 318.63/46.69 inference('sup+', [status(thm)], ['878', '879'])). 318.63/46.69 tff('881', plain, (c3 = s(c3)) <= (( zip_tseitin_1(c1, c3))), 318.63/46.69 inference('demod', [status(thm)], ['875', '880'])). 318.63/46.69 tff('882', plain, (c3 = c4) <= (( zip_tseitin_1(c1, c3))), 318.63/46.69 inference('sup+', [status(thm)], ['872', '881'])). 318.63/46.69 tff('883', plain, (c3 = c8) <= (( zip_tseitin_1(c1, c3))), 318.63/46.69 inference('sup-', [status(thm)], ['37', '38'])). 318.63/46.69 tff('884', plain, c8 != c4, inference('demod', [status(thm)], ['681', '682'])). 318.63/46.69 tff('885', plain, (c3 != c4) <= (( zip_tseitin_1(c1, c3))), 318.63/46.69 inference('sup-', [status(thm)], ['883', '884'])). 318.63/46.69 tff('886', plain, ~ ( zip_tseitin_1(c1, c3)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['882', '885'])). 318.63/46.69 tff('887', plain, ( zip_tseitin_0(c1, c3)) <= (( zip_tseitin_0(c1, c3))), 318.63/46.69 inference('split', [status(esa)], ['36'])). 318.63/46.69 tff('888', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('889', plain, (c3 = c1) <= (( zip_tseitin_0(c1, c3))), 318.63/46.69 inference('sup-', [status(thm)], ['887', '888'])). 318.63/46.69 tff('890', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('891', plain, (c2 = s(c3)) <= (( zip_tseitin_0(c1, c3))), 318.63/46.69 inference('sup+', [status(thm)], ['889', '890'])). 318.63/46.69 tff('892', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('893', plain, (s(s(s(c2))) != c3) <= (( zip_tseitin_0(c1, c3))), 318.63/46.69 inference('sup-', [status(thm)], ['891', '892'])). 318.63/46.69 tff('894', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('895', plain, (c2 = s(c3)) <= (( zip_tseitin_0(c1, c3))), 318.63/46.69 inference('sup+', [status(thm)], ['889', '890'])). 318.63/46.69 tff('896', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('897', plain, (c3 != c3) <= (( zip_tseitin_0(c1, c3))), 318.63/46.69 inference('demod', [status(thm)], ['893', '894', '895', '896'])). 318.63/46.69 tff('898', plain, ~ ( zip_tseitin_0(c1, c3)), 318.63/46.69 inference('simplify', [status(thm)], ['897'])). 318.63/46.69 tff('899', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c4, X0) = c3 318.63/46.69 | g(c3, X0) = c3 318.63/46.69 | g(c3, X0) = c5 318.63/46.69 | g(c3, X0) = c4 318.63/46.69 | g(c3, X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['1', '5'])). 318.63/46.69 tff('900', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('901', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c3, c1) = c4 318.63/46.69 | g(c3, c1) = c5 318.63/46.69 | g(c3, c1) = c3 318.63/46.69 | g(c4, c1) = c3), 318.63/46.69 inference('sup-', [status(thm)], ['899', '900'])). 318.63/46.69 tff('902', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('903', plain, 318.63/46.69 (c2 != c4 | g(c3, c1) = c5 | g(c3, c1) = c3 | g(c4, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['901', '902'])). 318.63/46.69 tff('904', plain, (g(c3, c1) = c5) <= ((g(c3, c1) = c5)), 318.63/46.69 inference('split', [status(esa)], ['903'])). 318.63/46.69 tff('905', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('906', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c1, c3))) <= ((g(c3, c1) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['904', '905'])). 318.63/46.69 tff('907', plain, ( zip_tseitin_2(c1, c3)) <= ((g(c3, c1) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['906'])). 318.63/46.69 tff('908', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('909', plain, 318.63/46.69 (( zip_tseitin_1(c1, c3) | zip_tseitin_0(c1, c3))) <= ((g(c3, c1) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['907', '908'])). 318.63/46.69 tff('910', plain, 318.63/46.69 ( zip_tseitin_0(c1, c3)) | ( zip_tseitin_1(c1, c3)) | ~ (g(c3, c1) = c5), 318.63/46.69 inference('split', [status(esa)], ['909'])). 318.63/46.69 tff('911', plain, (g(c2, c1) = c1) <= ((g(c3, c1) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['136'])). 318.63/46.69 tff('912', plain, (g(c2, c2) = c4) <= ((g(c2, c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['196'])). 318.63/46.69 tff('913', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.69 tff('914', plain, ((c4 != c4 | g(c2, c1) = c2)) <= ((g(c2, c2) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['912', '913'])). 318.63/46.69 tff('915', plain, (g(c2, c1) = c2) <= ((g(c2, c2) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['914'])). 318.63/46.69 tff('916', plain, (c1 = c2) <= ((g(c3, c1) = c3) & (g(c2, c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['911', '915'])). 318.63/46.69 tff('917', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('918', plain, ~ (g(c2, c2) = c4) | ~ (g(c3, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['916', '917'])). 318.63/46.69 tff('919', plain, (g(c3, c1) = c3) <= ((g(c3, c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['30'])). 318.63/46.69 tff('920', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('921', plain, ((c3 != c2 | g(c3, s(c1)) = c4)) <= ((g(c3, c1) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['919', '920'])). 318.63/46.69 tff('922', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('923', plain, ((c3 != c2 | g(c3, c2) = c4)) <= ((g(c3, c1) = c3)), 318.63/46.69 inference('demod', [status(thm)], ['921', '922'])). 318.63/46.69 tff('924', plain, (g(c3, c2) = c4) <= ((g(c3, c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['923'])). 318.63/46.69 tff('925', plain, (g(c3, c3) = c4) <= ((g(c3, c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['47'])). 318.63/46.69 tff('926', plain, ![X0]: (g(X0, c3) != c4 | g(X0, c2) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['260', '261'])). 318.63/46.69 tff('927', plain, ((c4 != c4 | g(c3, c2) = c2)) <= ((g(c3, c3) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['925', '926'])). 318.63/46.69 tff('928', plain, (g(c3, c2) = c2) <= ((g(c3, c3) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['927'])). 318.63/46.69 tff('929', plain, (c4 = c2) <= ((g(c3, c2) = c4) & (g(c3, c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['924', '928'])). 318.63/46.69 tff('930', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('931', plain, ~ (g(c3, c2) = c4) | ~ (g(c3, c3) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['929', '930'])). 318.63/46.69 tff('932', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c4, X0) = c3 318.63/46.69 | g(c3, X0) = c3 318.63/46.69 | g(c3, X0) = c5 318.63/46.69 | g(c3, X0) = c4 318.63/46.69 | g(c3, X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['1', '5'])). 318.63/46.69 tff('933', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('934', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c3, c4) = c4 318.63/46.69 | g(c3, c4) = c5 318.63/46.69 | g(c3, c4) = c3 318.63/46.69 | g(c4, c4) = c3 318.63/46.69 | g(c3, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['932', '933'])). 318.63/46.69 tff('935', plain, (g(c3, c4) = c4) <= ((g(c3, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['934'])). 318.63/46.69 tff('936', plain, (g(c3, c5) = c4) <= ((g(c3, c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['491'])). 318.63/46.69 tff('937', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.69 tff('938', plain, ((c4 != c4 | g(c3, c4) = c2)) <= ((g(c3, c5) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['936', '937'])). 318.63/46.69 tff('939', plain, (g(c3, c4) = c2) <= ((g(c3, c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['938'])). 318.63/46.69 tff('940', plain, (c4 = c2) <= ((g(c3, c5) = c4) & (g(c3, c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['935', '939'])). 318.63/46.69 tff('941', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('942', plain, ~ (g(c3, c4) = c4) | ~ (g(c3, c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['940', '941'])). 318.63/46.69 tff('943', plain, (g(c3, c4) = c4) <= ((g(c3, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['934'])). 318.63/46.69 tff('944', plain, (g(c4, c4) = c3) <= ((g(c4, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('945', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('946', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('947', plain, ![X0]: (g(c4, X0) != c3 | g(c3, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['945', '946'])). 318.63/46.69 tff('948', plain, ((c3 != c3 | g(c3, c4) = c1)) <= ((g(c4, c4) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['944', '947'])). 318.63/46.69 tff('949', plain, (g(c3, c4) = c1) <= ((g(c4, c4) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['948'])). 318.63/46.69 tff('950', plain, (c4 = c1) <= ((g(c4, c4) = c3) & (g(c3, c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['943', '949'])). 318.63/46.69 tff('951', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('952', plain, ~ (g(c3, c4) = c4) | ~ (g(c4, c4) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['950', '951'])). 318.63/46.69 tff('953', plain, (g(s(c5), s(c5)) = c3) <= ((g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['240'])). 318.63/46.69 tff('954', plain, (g(s(c5), s(c5)) = c1) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['252'])). 318.63/46.69 tff('955', plain, 318.63/46.69 (c3 = c1) <= ((g(s(s(c5)), s(c5)) = c3) & (g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['953', '954'])). 318.63/46.69 tff('956', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('957', plain, ~ (g(s(c5), s(c5)) = c3) | ~ (g(s(s(c5)), s(c5)) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['955', '956'])). 318.63/46.69 tff('958', plain, (g(s(c5), c5) = c2) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('split', [status(esa)], ['585'])). 318.63/46.69 tff('959', plain, (g(s(s(c5)), c5) = c4) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['331'])). 318.63/46.69 tff('960', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('961', plain, 318.63/46.69 ((c4 != c3 | g(s(c5), c5) = c1)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['959', '960'])). 318.63/46.69 tff('962', plain, (g(s(c5), c5) = c1) <= ((g(s(c5), c5) = c1)), 318.63/46.69 inference('split', [status(esa)], ['961'])). 318.63/46.69 tff('963', plain, (c2 = c1) <= ((g(s(c5), c5) = c2) & (g(s(c5), c5) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['958', '962'])). 318.63/46.69 tff('964', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('965', plain, ~ (g(s(c5), c5) = c1) | ~ (g(s(c5), c5) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['963', '964'])). 318.63/46.69 tff('966', plain, (g(c3, c4) = c1) <= ((g(c4, c4) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['948'])). 318.63/46.69 tff('967', plain, (g(c3, c4) = c2) <= ((g(c3, c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['938'])). 318.63/46.69 tff('968', plain, (c1 = c2) <= ((g(c4, c4) = c3) & (g(c3, c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['966', '967'])). 318.63/46.69 tff('969', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('970', plain, ~ (g(c3, c5) = c4) | ~ (g(c4, c4) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['968', '969'])). 318.63/46.69 tff('971', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), X0) = c1 318.63/46.69 | g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['377'])). 318.63/46.69 tff('972', plain, (g(s(s(c5)), s(c5)) = c4) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('973', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('974', plain, 318.63/46.69 ((c4 != c4 | g(s(s(c5)), c5) = c2)) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['972', '973'])). 318.63/46.69 tff('975', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['974'])). 318.63/46.69 tff('976', plain, 318.63/46.69 ((c4 = c2 318.63/46.69 | g(c8, c5) = c3 318.63/46.69 | g(s(s(c5)), c5) = c5 318.63/46.69 | g(s(c5), s(c5)) = c2 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c3 318.63/46.69 | g(s(c5), c5) = c1)) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['971', '975'])). 318.63/46.69 tff('977', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('978', plain, 318.63/46.69 ((g(c8, c5) = c3 318.63/46.69 | g(s(s(c5)), c5) = c5 318.63/46.69 | g(s(c5), s(c5)) = c2 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c3 318.63/46.69 | g(s(c5), c5) = c1)) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['976', '977'])). 318.63/46.69 tff('979', plain, 318.63/46.69 ~ (g(s(s(c5)), s(c5)) = c4) | (g(s(c5), s(c5)) = c4) | 318.63/46.69 (g(s(s(c5)), c5) = c5) | (g(s(c5), s(c5)) = c5) | 318.63/46.69 (g(s(c5), s(c5)) = c2) | (g(s(c5), s(c5)) = c3) | (g(s(c5), c5) = c1) | 318.63/46.69 (g(c8, c5) = c3), inference('split', [status(esa)], ['978'])). 318.63/46.69 tff('980', plain, (g(c2, c5) = c4) <= ((g(c2, c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['487'])). 318.63/46.69 tff('981', plain, (g(c2, c5) = c1) <= ((g(c3, c5) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['494'])). 318.63/46.69 tff('982', plain, (c4 = c1) <= ((g(c3, c5) = c3) & (g(c2, c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['980', '981'])). 318.63/46.69 tff('983', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('984', plain, ~ (g(c2, c5) = c4) | ~ (g(c3, c5) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['982', '983'])). 318.63/46.69 tff('985', plain, (g(c4, c5) = c4) <= ((g(c4, c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('986', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.69 tff('987', plain, ((c4 != c4 | g(c4, c4) = c2)) <= ((g(c4, c5) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['985', '986'])). 318.63/46.69 tff('988', plain, (g(c4, c4) = c2) <= ((g(c4, c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['987'])). 318.63/46.69 tff('989', plain, (g(c5, c4) = c3) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('990', plain, ![X0]: (g(c5, X0) != c3 | g(c4, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['396', '397'])). 318.63/46.69 tff('991', plain, ((c3 != c3 | g(c4, c4) = c1)) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['989', '990'])). 318.63/46.69 tff('992', plain, (g(c4, c4) = c1) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['991'])). 318.63/46.69 tff('993', plain, (c2 = c1) <= ((g(c4, c5) = c4) & (g(c5, c4) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['988', '992'])). 318.63/46.69 tff('994', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('995', plain, ~ (g(c5, c4) = c3) | ~ (g(c4, c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['993', '994'])). 318.63/46.69 tff('996', plain, (g(s(c5), c5) = c3) <= ((g(s(c5), c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['428'])). 318.63/46.69 tff('997', plain, (g(s(c5), c5) = c2) <= ((g(s(c5), s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['353'])). 318.63/46.69 tff('998', plain, 318.63/46.69 (c3 = c2) <= ((g(s(c5), c5) = c3) & (g(s(c5), s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['996', '997'])). 318.63/46.69 tff('999', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1000', plain, ~ (g(s(c5), c5) = c3) | ~ (g(s(c5), s(c5)) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['998', '999'])). 318.63/46.69 tff('1001', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), X0) = c1 318.63/46.69 | g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['377'])). 318.63/46.69 tff('1002', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.69 tff('1003', plain, 318.63/46.69 (c4 != c4 318.63/46.69 | g(c8, c8) = c3 318.63/46.69 | g(s(s(c5)), c8) = c5 318.63/46.69 | g(s(c5), s(c8)) = c2 318.63/46.69 | g(s(c5), s(c8)) = c4 318.63/46.69 | g(s(c5), s(c8)) = c5 318.63/46.69 | g(s(c5), s(c8)) = c3 318.63/46.69 | g(s(c5), c8) = c1 318.63/46.69 | g(s(s(c5)), s(s(c5))) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['1001', '1002'])). 318.63/46.69 tff('1004', plain, g(c8, c8) = c5, 318.63/46.69 inference('sup-', [status(thm)], ['62', '63'])). 318.63/46.69 tff('1005', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1006', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1007', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1008', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1009', plain, 318.63/46.69 (c4 != c4 318.63/46.69 | c5 = c3 318.63/46.69 | g(s(s(c5)), c8) = c5 318.63/46.69 | g(s(c5), c1) = c2 318.63/46.69 | g(s(c5), c1) = c4 318.63/46.69 | g(s(c5), c1) = c5 318.63/46.69 | g(s(c5), c1) = c3 318.63/46.69 | g(s(c5), c8) = c1 318.63/46.69 | g(s(s(c5)), s(s(c5))) = c2), 318.63/46.69 inference('demod', [status(thm)], 318.63/46.69 ['1003', '1004', '1005', '1006', '1007', '1008'])). 318.63/46.69 tff('1010', plain, 318.63/46.69 (g(s(s(c5)), s(s(c5))) = c2 318.63/46.69 | g(s(c5), c8) = c1 318.63/46.69 | g(s(c5), c1) = c3 318.63/46.69 | g(s(c5), c1) = c5 318.63/46.69 | g(s(c5), c1) = c4 318.63/46.69 | g(s(c5), c1) = c2 318.63/46.69 | g(s(s(c5)), c8) = c5 318.63/46.69 | c5 = c3), 318.63/46.69 inference('simplify', [status(thm)], ['1009'])). 318.63/46.69 tff('1011', plain, c5 != c3, inference('sup-', [status(thm)], ['311', '312'])). 318.63/46.69 tff('1012', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1013', plain, 318.63/46.69 (g(s(s(c5)), s(s(c5))) = c2 318.63/46.69 | g(s(c5), c8) = c1 318.63/46.69 | g(s(c5), c1) = c3 318.63/46.69 | g(s(c5), c1) = c5 318.63/46.69 | g(s(c5), c1) = c2 318.63/46.69 | g(s(s(c5)), c8) = c5), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1010', '1011', '1012'])). 318.63/46.69 tff('1014', plain, 318.63/46.69 (g(s(c5), c1) = c5) | (g(s(c5), c1) = c2) | (g(s(c5), c1) = c3) | 318.63/46.69 (g(s(s(c5)), c8) = c5) | (g(s(c5), c8) = c1) | 318.63/46.69 (g(s(s(c5)), s(s(c5))) = c2), inference('split', [status(esa)], ['1013'])). 318.63/46.69 tff('1015', plain, 318.63/46.69 ~ (g(s(s(c5)), s(s(c5))) = c2) | (g(s(c5), s(s(c5))) = c2) | 318.63/46.69 (g(s(c5), s(s(c5))) = c4) | (g(s(c5), s(s(c5))) = c3) | 318.63/46.69 (g(s(c5), s(s(c5))) = c5), inference('split', [status(esa)], ['226'])). 318.63/46.69 tff('1016', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['111', '112'])). 318.63/46.69 tff('1017', plain, ![X10]: g(X10, c8) != c2, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1018', plain, 318.63/46.69 (c2 != c2 318.63/46.69 | g(s(s(c5)), c8) = c4 318.63/46.69 | g(s(s(c5)), c8) = c5 318.63/46.69 | g(s(s(c5)), c8) = c3 318.63/46.69 | g(c8, c8) = c3), 318.63/46.69 inference('sup-', [status(thm)], ['1016', '1017'])). 318.63/46.69 tff('1019', plain, g(c8, c8) = c5, 318.63/46.69 inference('sup-', [status(thm)], ['62', '63'])). 318.63/46.69 tff('1020', plain, 318.63/46.69 (c2 != c2 318.63/46.69 | g(s(s(c5)), c8) = c4 318.63/46.69 | g(s(s(c5)), c8) = c5 318.63/46.69 | g(s(s(c5)), c8) = c3 318.63/46.69 | c5 = c3), 318.63/46.69 inference('demod', [status(thm)], ['1018', '1019'])). 318.63/46.69 tff('1021', plain, 318.63/46.69 (c5 = c3 318.63/46.69 | g(s(s(c5)), c8) = c3 318.63/46.69 | g(s(s(c5)), c8) = c5 318.63/46.69 | g(s(s(c5)), c8) = c4), 318.63/46.69 inference('simplify', [status(thm)], ['1020'])). 318.63/46.69 tff('1022', plain, c5 != c3, inference('sup-', [status(thm)], ['311', '312'])). 318.63/46.69 tff('1023', plain, 318.63/46.69 (g(s(s(c5)), c8) = c3 | g(s(s(c5)), c8) = c5 | g(s(s(c5)), c8) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1021', '1022'])). 318.63/46.69 tff('1024', plain, (g(s(s(c5)), c8) = c4) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1023'])). 318.63/46.69 tff('1025', plain, (g(s(s(c5)), c8) = c1) <= ((g(s(s(c5)), c8) = c1)), 318.63/46.69 inference('split', [status(esa)], ['74'])). 318.63/46.69 tff('1026', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1027', plain, 318.63/46.69 ((c1 != c3 | g(s(c5), c8) = c1)) <= ((g(s(s(c5)), c8) = c1)), 318.63/46.69 inference('sup-', [status(thm)], ['1025', '1026'])). 318.63/46.69 tff('1028', plain, (g(s(c5), c8) = c1) <= ((g(s(c5), c8) = c1)), 318.63/46.69 inference('split', [status(esa)], ['1027'])). 318.63/46.69 tff('1029', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1030', plain, 318.63/46.69 ((c1 != c1 | g(s(s(c5)), c8) = c3)) <= ((g(s(c5), c8) = c1)), 318.63/46.69 inference('sup-', [status(thm)], ['1028', '1029'])). 318.63/46.69 tff('1031', plain, (g(s(s(c5)), c8) = c3) <= ((g(s(c5), c8) = c1)), 318.63/46.69 inference('simplify', [status(thm)], ['1030'])). 318.63/46.69 tff('1032', plain, 318.63/46.69 (c4 = c3) <= ((g(s(c5), c8) = c1) & (g(s(s(c5)), c8) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1024', '1031'])). 318.63/46.69 tff('1033', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1034', plain, ~ (g(s(c5), c8) = c1) | ~ (g(s(s(c5)), c8) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1032', '1033'])). 318.63/46.69 tff('1035', plain, (g(c5, c2) = c3) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('1036', plain, (g(c5, c1) = c3) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['514'])). 318.63/46.69 tff('1037', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1038', plain, ((c3 != c2 | g(c5, s(c1)) = c4)) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1036', '1037'])). 318.63/46.69 tff('1039', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1040', plain, ((c3 != c2 | g(c5, c2) = c4)) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('demod', [status(thm)], ['1038', '1039'])). 318.63/46.69 tff('1041', plain, (g(c5, c2) = c4) <= ((g(c5, c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1040'])). 318.63/46.69 tff('1042', plain, (c3 = c4) <= ((g(c5, c2) = c3) & (g(c5, c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1035', '1041'])). 318.63/46.69 tff('1043', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1044', plain, ~ (g(c5, c2) = c4) | ~ (g(c5, c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1042', '1043'])). 318.63/46.69 tff('1045', plain, (g(s(s(c5)), s(c5)) = c4) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('1046', plain, 318.63/46.69 (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['537'])). 318.63/46.69 tff('1047', plain, 318.63/46.69 (c4 = c2) <= ((g(s(s(c5)), s(c5)) = c4) & (g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1045', '1046'])). 318.63/46.69 tff('1048', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1049', plain, 318.63/46.69 ~ (g(s(s(c5)), s(c5)) = c4) | ~ (g(s(s(c5)), s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1047', '1048'])). 318.63/46.69 tff('1050', plain, (g(c5, c5) = c3) <= ((g(c5, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('1051', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.69 tff('1052', plain, ((c3 != c4 | g(c5, c4) = c2)) <= ((g(c5, c5) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1050', '1051'])). 318.63/46.69 tff('1053', plain, (g(c5, c4) = c2) <= ((g(c5, c4) = c2)), 318.63/46.69 inference('split', [status(esa)], ['1052'])). 318.63/46.69 tff('1054', plain, (g(c5, c3) = c3) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('1055', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1056', plain, ((c3 != c2 | g(c5, s(c3)) = c4)) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1054', '1055'])). 318.63/46.69 tff('1057', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1058', plain, ((c3 != c2 | g(c5, c4) = c4)) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('demod', [status(thm)], ['1056', '1057'])). 318.63/46.69 tff('1059', plain, (g(c5, c4) = c4) <= ((g(c5, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1058'])). 318.63/46.69 tff('1060', plain, (c2 = c4) <= ((g(c5, c4) = c2) & (g(c5, c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1053', '1059'])). 318.63/46.69 tff('1061', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1062', plain, ~ (g(c5, c4) = c4) | ~ (g(c5, c4) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1060', '1061'])). 318.63/46.69 tff('1063', plain, (g(c5, c4) = c3) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('1064', plain, (g(c5, c4) = c2) <= ((g(c5, c4) = c2)), 318.63/46.69 inference('split', [status(esa)], ['1052'])). 318.63/46.69 tff('1065', plain, (c3 = c2) <= ((g(c5, c4) = c3) & (g(c5, c4) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1063', '1064'])). 318.63/46.69 tff('1066', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1067', plain, ~ (g(c5, c4) = c3) | ~ (g(c5, c4) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1065', '1066'])). 318.63/46.69 tff('1068', plain, (g(c5, c4) = c3) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('1069', plain, (g(c5, c4) = c4) <= ((g(c5, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1058'])). 318.63/46.69 tff('1070', plain, (c3 = c4) <= ((g(c5, c4) = c3) & (g(c5, c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1068', '1069'])). 318.63/46.69 tff('1071', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1072', plain, ~ (g(c5, c4) = c3) | ~ (g(c5, c4) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1070', '1071'])). 318.63/46.69 tff('1073', plain, (g(c4, c3) = c4) <= ((g(c4, c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('1074', plain, (g(c5, c3) = c3) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('1075', plain, ![X0]: (g(c5, X0) != c3 | g(c4, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['396', '397'])). 318.63/46.69 tff('1076', plain, ((c3 != c3 | g(c4, c3) = c1)) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1074', '1075'])). 318.63/46.69 tff('1077', plain, (g(c4, c3) = c1) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1076'])). 318.63/46.69 tff('1078', plain, (c4 = c1) <= ((g(c5, c3) = c3) & (g(c4, c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1073', '1077'])). 318.63/46.69 tff('1079', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1080', plain, ~ (g(c4, c3) = c4) | ~ (g(c5, c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1078', '1079'])). 318.63/46.69 tff('1081', plain, (g(c5, c2) = c2) <= ((g(c5, c2) = c2)), 318.63/46.69 inference('split', [status(esa)], ['266'])). 318.63/46.69 tff('1082', plain, (g(c5, c2) = c4) <= ((g(c5, c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1040'])). 318.63/46.69 tff('1083', plain, (c2 = c4) <= ((g(c5, c2) = c2) & (g(c5, c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1081', '1082'])). 318.63/46.69 tff('1084', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1085', plain, ~ (g(c5, c2) = c4) | ~ (g(c5, c2) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1083', '1084'])). 318.63/46.69 tff('1086', plain, (g(s(s(c5)), c3) = c4) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['554'])). 318.63/46.69 tff('1087', plain, ![X0]: (g(X0, c3) != c4 | g(X0, c2) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['260', '261'])). 318.63/46.69 tff('1088', plain, 318.63/46.69 ((c4 != c4 | g(s(s(c5)), c2) = c2)) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1086', '1087'])). 318.63/46.69 tff('1089', plain, (g(s(s(c5)), c2) = c2) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1088'])). 318.63/46.69 tff('1090', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), X0) = c1 318.63/46.69 | g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['377'])). 318.63/46.69 tff('1091', plain, 318.63/46.69 ((c2 = c4 318.63/46.69 | g(c8, c2) = c3 318.63/46.69 | g(s(s(c5)), c2) = c5 318.63/46.69 | g(s(c5), s(c2)) = c2 318.63/46.69 | g(s(c5), s(c2)) = c4 318.63/46.69 | g(s(c5), s(c2)) = c5 318.63/46.69 | g(s(c5), s(c2)) = c3 318.63/46.69 | g(s(c5), c2) = c1)) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1089', '1090'])). 318.63/46.69 tff('1092', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1093', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1094', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1095', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1096', plain, 318.63/46.69 ((c2 = c4 318.63/46.69 | g(c8, c2) = c3 318.63/46.69 | g(s(s(c5)), c2) = c5 318.63/46.69 | g(s(c5), c3) = c2 318.63/46.69 | g(s(c5), c3) = c4 318.63/46.69 | g(s(c5), c3) = c5 318.63/46.69 | g(s(c5), c3) = c3 318.63/46.69 | g(s(c5), c2) = c1)) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('demod', [status(thm)], 318.63/46.69 ['1091', '1092', '1093', '1094', '1095'])). 318.63/46.69 tff('1097', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1098', plain, 318.63/46.69 ((g(c8, c2) = c3 318.63/46.69 | g(s(s(c5)), c2) = c5 318.63/46.69 | g(s(c5), c3) = c2 318.63/46.69 | g(s(c5), c3) = c4 318.63/46.69 | g(s(c5), c3) = c5 318.63/46.69 | g(s(c5), c3) = c3 318.63/46.69 | g(s(c5), c2) = c1)) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1096', '1097'])). 318.63/46.69 tff('1099', plain, 318.63/46.69 ~ (g(s(s(c5)), c3) = c4) | (g(c8, c2) = c3) | (g(s(s(c5)), c2) = c5) | 318.63/46.69 (g(s(c5), c3) = c3) | (g(s(c5), c3) = c2) | (g(s(c5), c3) = c4) | 318.63/46.69 (g(s(c5), c3) = c5) | (g(s(c5), c2) = c1), 318.63/46.69 inference('split', [status(esa)], ['1098'])). 318.63/46.69 tff('1100', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, X0) = c2 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['14'])). 318.63/46.69 tff('1101', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.69 tff('1102', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c8, c2) = c3 318.63/46.69 | g(c8, c2) = c5 318.63/46.69 | g(c8, c2) = c4 318.63/46.69 | g(c8, c1) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['1100', '1101'])). 318.63/46.69 tff('1103', plain, (g(c8, c2) = c3) <= ((g(c8, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['1102'])). 318.63/46.69 tff('1104', plain, ![X0]: (g(c8, X0) != c3 | g(s(s(c5)), X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['71', '72'])). 318.63/46.69 tff('1105', plain, ((c3 != c3 | g(s(s(c5)), c2) = c1)) <= ((g(c8, c2) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1103', '1104'])). 318.63/46.69 tff('1106', plain, (g(s(s(c5)), c2) = c1) <= ((g(c8, c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1105'])). 318.63/46.69 tff('1107', plain, (g(s(s(c5)), c2) = c2) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1088'])). 318.63/46.69 tff('1108', plain, (c1 = c2) <= ((g(c8, c2) = c3) & (g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1106', '1107'])). 318.63/46.69 tff('1109', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1110', plain, ~ (g(c8, c2) = c3) | ~ (g(s(s(c5)), c3) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1108', '1109'])). 318.63/46.69 tff('1111', plain, (g(c1, c3) = c4) <= ((g(c1, c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['208'])). 318.63/46.69 tff('1112', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1113', plain, ((c4 != c1 | g(s(c1), c3) = c3)) <= ((g(c1, c3) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1111', '1112'])). 318.63/46.69 tff('1114', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1115', plain, ((c4 != c1 | g(c2, c3) = c3)) <= ((g(c1, c3) = c4)), 318.63/46.69 inference('demod', [status(thm)], ['1113', '1114'])). 318.63/46.69 tff('1116', plain, (g(c2, c3) = c3) <= ((g(c2, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['1115'])). 318.63/46.69 tff('1117', plain, (g(c3, c3) = c3) <= ((g(c3, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['47'])). 318.63/46.69 tff('1118', plain, ![X0]: (g(c3, X0) != c3 | g(c2, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['133', '134'])). 318.63/46.69 tff('1119', plain, ((c3 != c3 | g(c2, c3) = c1)) <= ((g(c3, c3) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1117', '1118'])). 318.63/46.69 tff('1120', plain, (g(c2, c3) = c1) <= ((g(c3, c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1119'])). 318.63/46.69 tff('1121', plain, (c3 = c1) <= ((g(c3, c3) = c3) & (g(c2, c3) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1116', '1120'])). 318.63/46.69 tff('1122', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1123', plain, ~ (g(c2, c3) = c3) | ~ (g(c3, c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1121', '1122'])). 318.63/46.69 tff('1124', plain, (g(c2, c2) = c4) <= ((g(c2, c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['196'])). 318.63/46.69 tff('1125', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1126', plain, ((c4 != c2 | g(c2, s(c2)) = c4)) <= ((g(c2, c2) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1124', '1125'])). 318.63/46.69 tff('1127', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1128', plain, ((c4 != c2 | g(c2, c3) = c4)) <= ((g(c2, c2) = c4)), 318.63/46.69 inference('demod', [status(thm)], ['1126', '1127'])). 318.63/46.69 tff('1129', plain, (g(c2, c3) = c4) <= ((g(c2, c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1128'])). 318.63/46.69 tff('1130', plain, (g(c2, c3) = c1) <= ((g(c3, c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1119'])). 318.63/46.69 tff('1131', plain, (c4 = c1) <= ((g(c2, c3) = c4) & (g(c3, c3) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1129', '1130'])). 318.63/46.69 tff('1132', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1133', plain, ~ (g(c2, c3) = c4) | ~ (g(c3, c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1131', '1132'])). 318.63/46.69 tff('1134', plain, (g(c4, c5) = c4) <= ((g(c4, c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('1135', plain, (g(c4, c5) = c3) <= ((g(c4, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('1136', plain, (c4 = c3) <= ((g(c4, c5) = c4) & (g(c4, c5) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1134', '1135'])). 318.63/46.69 tff('1137', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1138', plain, ~ (g(c4, c5) = c3) | ~ (g(c4, c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1136', '1137'])). 318.63/46.69 tff('1139', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['111', '112'])). 318.63/46.69 tff('1140', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('simplify', [status(thm)], ['505'])). 318.63/46.69 tff('1141', plain, 318.63/46.69 ((c2 = c3 318.63/46.69 | g(s(s(c5)), s(c5)) = c4 318.63/46.69 | g(s(s(c5)), s(c5)) = c5 318.63/46.69 | g(s(s(c5)), s(c5)) = c3 318.63/46.69 | g(c8, s(c5)) = c3)) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['1139', '1140'])). 318.63/46.69 tff('1142', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('simplify', [status(thm)], ['505'])). 318.63/46.69 tff('1143', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('simplify', [status(thm)], ['505'])). 318.63/46.69 tff('1144', plain, 318.63/46.69 ((c2 = c3 318.63/46.69 | c3 = c4 318.63/46.69 | c3 = c5 318.63/46.69 | g(s(s(c5)), s(c5)) = c3 318.63/46.69 | g(c8, s(c5)) = c3)) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('demod', [status(thm)], ['1141', '1142', '1143'])). 318.63/46.69 tff('1145', plain, c5 != c3, inference('sup-', [status(thm)], ['311', '312'])). 318.63/46.69 tff('1146', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1147', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1148', plain, 318.63/46.69 ((g(s(s(c5)), s(c5)) = c3 | g(c8, s(c5)) = c3)) 318.63/46.69 <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], 318.63/46.69 ['1144', '1145', '1146', '1147'])). 318.63/46.69 tff('1149', plain, 318.63/46.69 ~ (g(s(c5), s(c5)) = c1) | (g(s(s(c5)), s(c5)) = c3) | 318.63/46.69 (g(c8, s(c5)) = c3), inference('split', [status(esa)], ['1148'])). 318.63/46.69 tff('1150', plain, (g(c4, c3) = c3) <= ((g(c4, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('1151', plain, (g(c4, c3) = c1) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1076'])). 318.63/46.69 tff('1152', plain, (c3 = c1) <= ((g(c5, c3) = c3) & (g(c4, c3) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1150', '1151'])). 318.63/46.69 tff('1153', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1154', plain, ~ (g(c5, c3) = c3) | ~ (g(c4, c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1152', '1153'])). 318.63/46.69 tff('1155', plain, (g(c5, c3) = c3) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('1156', plain, (g(c5, c2) = c2) <= ((g(c5, c2) = c2)), 318.63/46.69 inference('split', [status(esa)], ['266'])). 318.63/46.69 tff('1157', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1158', plain, ((c2 != c2 | g(c5, s(c2)) = c4)) <= ((g(c5, c2) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1156', '1157'])). 318.63/46.69 tff('1159', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1160', plain, ((c2 != c2 | g(c5, c3) = c4)) <= ((g(c5, c2) = c2)), 318.63/46.69 inference('demod', [status(thm)], ['1158', '1159'])). 318.63/46.69 tff('1161', plain, (g(c5, c3) = c4) <= ((g(c5, c2) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1160'])). 318.63/46.69 tff('1162', plain, (c3 = c4) <= ((g(c5, c3) = c3) & (g(c5, c2) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1155', '1161'])). 318.63/46.69 tff('1163', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1164', plain, ~ (g(c5, c2) = c2) | ~ (g(c5, c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1162', '1163'])). 318.63/46.69 tff('1165', plain, (g(s(c5), s(s(c5))) = c2) <= ((g(s(c5), s(s(c5))) = c2)), 318.63/46.69 inference('split', [status(esa)], ['184'])). 318.63/46.69 tff('1166', plain, (g(s(c5), s(s(c5))) = c3) <= ((g(s(c5), s(s(c5))) = c3)), 318.63/46.69 inference('split', [status(esa)], ['226'])). 318.63/46.69 tff('1167', plain, 318.63/46.69 (c2 = c3) <= ((g(s(c5), s(s(c5))) = c2) & (g(s(c5), s(s(c5))) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1165', '1166'])). 318.63/46.69 tff('1168', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1169', plain, ~ (g(s(c5), s(s(c5))) = c2) | ~ (g(s(c5), s(s(c5))) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1167', '1168'])). 318.63/46.69 tff('1170', plain, (g(c3, c2) = c2) <= ((g(c3, c3) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['927'])). 318.63/46.69 tff('1171', plain, (g(c4, c2) = c3) <= ((g(c4, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('1172', plain, ![X0]: (g(c4, X0) != c3 | g(c3, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['945', '946'])). 318.63/46.69 tff('1173', plain, ((c3 != c3 | g(c3, c2) = c1)) <= ((g(c4, c2) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1171', '1172'])). 318.63/46.69 tff('1174', plain, (g(c3, c2) = c1) <= ((g(c4, c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1173'])). 318.63/46.69 tff('1175', plain, (c2 = c1) <= ((g(c3, c3) = c4) & (g(c4, c2) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1170', '1174'])). 318.63/46.69 tff('1176', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1177', plain, ~ (g(c3, c3) = c4) | ~ (g(c4, c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1175', '1176'])). 318.63/46.69 tff('1178', plain, (g(s(c5), c5) = c3) <= ((g(s(c5), c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['428'])). 318.63/46.69 tff('1179', plain, (g(s(c5), c5) = c2) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('split', [status(esa)], ['585'])). 318.63/46.69 tff('1180', plain, (c3 = c2) <= ((g(s(c5), c5) = c3) & (g(s(c5), c5) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1178', '1179'])). 318.63/46.69 tff('1181', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1182', plain, ~ (g(s(c5), c5) = c3) | ~ (g(s(c5), c5) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1180', '1181'])). 318.63/46.69 tff('1183', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1184', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), c5) = c2)), 318.63/46.69 inference('split', [status(esa)], ['658'])). 318.63/46.69 tff('1185', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(s(c5), c5) = c3 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c2)) <= ((g(s(s(c5)), c5) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1183', '1184'])). 318.63/46.69 tff('1186', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1187', plain, 318.63/46.69 ((g(s(c5), c5) = c3 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c2)) <= ((g(s(s(c5)), c5) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1185', '1186'])). 318.63/46.69 tff('1188', plain, 318.63/46.69 ~ (g(s(s(c5)), c5) = c2) | (g(s(c5), c5) = c4) | (g(s(c5), c5) = c5) | 318.63/46.69 (g(s(c5), c5) = c3) | (g(s(c5), c5) = c2), 318.63/46.69 inference('split', [status(esa)], ['1187'])). 318.63/46.69 tff('1189', plain, (g(s(c5), c3) = c3) <= ((g(s(c5), c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['412'])). 318.63/46.69 tff('1190', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1191', plain, (g(s(s(c5)), c2) = c2) <= ((g(s(s(c5)), c2) = c2)), 318.63/46.69 inference('split', [status(esa)], ['554'])). 318.63/46.69 tff('1192', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(s(c5), c2) = c3 318.63/46.69 | g(s(c5), c2) = c5 318.63/46.69 | g(s(c5), c2) = c4 318.63/46.69 | g(s(c5), c2) = c2)) <= ((g(s(s(c5)), c2) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1190', '1191'])). 318.63/46.69 tff('1193', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1194', plain, 318.63/46.69 ((g(s(c5), c2) = c3 318.63/46.69 | g(s(c5), c2) = c5 318.63/46.69 | g(s(c5), c2) = c4 318.63/46.69 | g(s(c5), c2) = c2)) <= ((g(s(s(c5)), c2) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1192', '1193'])). 318.63/46.69 tff('1195', plain, (g(s(c5), c2) = c2) <= ((g(s(c5), c2) = c2)), 318.63/46.69 inference('split', [status(esa)], ['1194'])). 318.63/46.69 tff('1196', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1197', plain, 318.63/46.69 ((c2 != c2 | g(s(c5), s(c2)) = c4)) <= ((g(s(c5), c2) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1195', '1196'])). 318.63/46.69 tff('1198', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1199', plain, ((c2 != c2 | g(s(c5), c3) = c4)) <= ((g(s(c5), c2) = c2)), 318.63/46.69 inference('demod', [status(thm)], ['1197', '1198'])). 318.63/46.69 tff('1200', plain, (g(s(c5), c3) = c4) <= ((g(s(c5), c2) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1199'])). 318.63/46.69 tff('1201', plain, (c3 = c4) <= ((g(s(c5), c3) = c3) & (g(s(c5), c2) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1189', '1200'])). 318.63/46.69 tff('1202', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1203', plain, ~ (g(s(c5), c2) = c2) | ~ (g(s(c5), c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1201', '1202'])). 318.63/46.69 tff('1204', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1205', plain, (g(s(c5), c1) = c2) <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('split', [status(esa)], ['527'])). 318.63/46.69 tff('1206', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c5, c1) = c3 318.63/46.69 | g(c5, c1) = c5 318.63/46.69 | g(c5, c1) = c4 318.63/46.69 | g(c5, c1) = c2)) <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1204', '1205'])). 318.63/46.69 tff('1207', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1208', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1209', plain, 318.63/46.69 ((g(c5, c1) = c3 | g(c5, c1) = c5 | g(c5, c1) = c2)) 318.63/46.69 <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1206', '1207', '1208'])). 318.63/46.69 tff('1210', plain, 318.63/46.69 ~ (g(s(c5), c1) = c2) | (g(c5, c1) = c2) | (g(c5, c1) = c5) | 318.63/46.69 (g(c5, c1) = c3), inference('split', [status(esa)], ['1209'])). 318.63/46.69 tff('1211', plain, (g(c5, c1) = c3) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['514'])). 318.63/46.69 tff('1212', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1213', plain, 318.63/46.69 ((c3 != c5 | zip_tseitin_2(c1, c5))) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1211', '1212'])). 318.63/46.69 tff('1214', plain, ( zip_tseitin_2(c1, c5)) <= (( zip_tseitin_2(c1, c5))), 318.63/46.69 inference('split', [status(esa)], ['1213'])). 318.63/46.69 tff('1215', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('1216', plain, 318.63/46.69 (( zip_tseitin_1(c1, c5) | zip_tseitin_0(c1, c5))) 318.63/46.69 <= (( zip_tseitin_2(c1, c5))), 318.63/46.69 inference('sup-', [status(thm)], ['1214', '1215'])). 318.63/46.69 tff('1217', plain, ( zip_tseitin_1(c1, c5)) <= (( zip_tseitin_1(c1, c5))), 318.63/46.69 inference('split', [status(esa)], ['1216'])). 318.63/46.69 tff('1218', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('1219', plain, (c5 = c8) <= (( zip_tseitin_1(c1, c5))), 318.63/46.69 inference('sup-', [status(thm)], ['1217', '1218'])). 318.63/46.69 tff('1220', plain, ( zip_tseitin_1(c1, c5)) <= (( zip_tseitin_1(c1, c5))), 318.63/46.69 inference('split', [status(esa)], ['1216'])). 318.63/46.69 tff('1221', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('1222', plain, (c1 = c8) <= (( zip_tseitin_1(c1, c5))), 318.63/46.69 inference('sup-', [status(thm)], ['1220', '1221'])). 318.63/46.69 tff('1223', plain, (c1 = c5) <= (( zip_tseitin_1(c1, c5))), 318.63/46.69 inference('sup+', [status(thm)], ['1219', '1222'])). 318.63/46.69 tff('1224', plain, c1 != c5, 318.63/46.69 inference('demod', [status(thm)], ['129', '130'])). 318.63/46.69 tff('1225', plain, ~ ( zip_tseitin_1(c1, c5)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1223', '1224'])). 318.63/46.69 tff('1226', plain, ( zip_tseitin_0(c1, c5)) <= (( zip_tseitin_0(c1, c5))), 318.63/46.69 inference('split', [status(esa)], ['1216'])). 318.63/46.69 tff('1227', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('1228', plain, (c5 = c1) <= (( zip_tseitin_0(c1, c5))), 318.63/46.69 inference('sup-', [status(thm)], ['1226', '1227'])). 318.63/46.69 tff('1229', plain, c1 != c5, 318.63/46.69 inference('demod', [status(thm)], ['129', '130'])). 318.63/46.69 tff('1230', plain, ~ ( zip_tseitin_0(c1, c5)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1228', '1229'])). 318.63/46.69 tff('1231', plain, (g(c5, c1) = c5) <= ((g(c5, c1) = c5)), 318.63/46.69 inference('split', [status(esa)], ['1209'])). 318.63/46.69 tff('1232', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1233', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c1, c5))) <= ((g(c5, c1) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['1231', '1232'])). 318.63/46.69 tff('1234', plain, ( zip_tseitin_2(c1, c5)) <= ((g(c5, c1) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['1233'])). 318.63/46.69 tff('1235', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('1236', plain, 318.63/46.69 (( zip_tseitin_1(c1, c5) | zip_tseitin_0(c1, c5))) <= ((g(c5, c1) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['1234', '1235'])). 318.63/46.69 tff('1237', plain, 318.63/46.69 ( zip_tseitin_0(c1, c5)) | ( zip_tseitin_1(c1, c5)) | ~ (g(c5, c1) = c5), 318.63/46.69 inference('split', [status(esa)], ['1236'])). 318.63/46.69 tff('1238', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1239', plain, (g(s(c5), c2) = c4) <= ((g(s(c5), c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1194'])). 318.63/46.69 tff('1240', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.69 tff('1241', plain, ((c4 != c4 | g(s(c5), c1) = c2)) <= ((g(s(c5), c2) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1239', '1240'])). 318.63/46.69 tff('1242', plain, (g(s(c5), c1) = c2) <= ((g(s(c5), c2) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1241'])). 318.63/46.69 tff('1243', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c5, c1) = c3 318.63/46.69 | g(c5, c1) = c5 318.63/46.69 | g(c5, c1) = c4 318.63/46.69 | g(c5, c1) = c2)) <= ((g(s(c5), c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1238', '1242'])). 318.63/46.69 tff('1244', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1245', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1246', plain, 318.63/46.69 ((g(c5, c1) = c3 | g(c5, c1) = c5 | g(c5, c1) = c2)) 318.63/46.69 <= ((g(s(c5), c2) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1243', '1244', '1245'])). 318.63/46.69 tff('1247', plain, 318.63/46.69 (g(c5, c1) = c5) | (g(c5, c1) = c2) | (g(c5, c1) = c3) | 318.63/46.69 ~ (g(s(c5), c2) = c4), inference('split', [status(esa)], ['1246'])). 318.63/46.69 tff('1248', plain, (g(c5, c2) = c3) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('1249', plain, (g(c5, c2) = c3) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('1250', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.69 tff('1251', plain, ((c3 != c4 | g(c5, c1) = c2)) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1249', '1250'])). 318.63/46.69 tff('1252', plain, (g(c5, c1) = c2) <= ((g(c5, c1) = c2)), 318.63/46.69 inference('split', [status(esa)], ['1251'])). 318.63/46.69 tff('1253', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1254', plain, ((c2 != c2 | g(c5, s(c1)) = c4)) <= ((g(c5, c1) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1252', '1253'])). 318.63/46.69 tff('1255', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1256', plain, ((c2 != c2 | g(c5, c2) = c4)) <= ((g(c5, c1) = c2)), 318.63/46.69 inference('demod', [status(thm)], ['1254', '1255'])). 318.63/46.69 tff('1257', plain, (g(c5, c2) = c4) <= ((g(c5, c1) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1256'])). 318.63/46.69 tff('1258', plain, (c3 = c4) <= ((g(c5, c2) = c3) & (g(c5, c1) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1248', '1257'])). 318.63/46.69 tff('1259', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1260', plain, ~ (g(c5, c1) = c2) | ~ (g(c5, c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1258', '1259'])). 318.63/46.69 tff('1261', plain, (g(c3, c1) = c3) <= ((g(c3, c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['30'])). 318.63/46.69 tff('1262', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1263', plain, ((c3 != c1 | g(s(c3), c1) = c3)) <= ((g(c3, c1) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1261', '1262'])). 318.63/46.69 tff('1264', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1265', plain, ((c3 != c1 | g(c4, c1) = c3)) <= ((g(c3, c1) = c3)), 318.63/46.69 inference('demod', [status(thm)], ['1263', '1264'])). 318.63/46.69 tff('1266', plain, (g(c4, c1) = c3) <= ((g(c4, c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['1265'])). 318.63/46.69 tff('1267', plain, (g(c5, c1) = c3) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['514'])). 318.63/46.69 tff('1268', plain, ![X0]: (g(c5, X0) != c3 | g(c4, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['396', '397'])). 318.63/46.69 tff('1269', plain, ((c3 != c3 | g(c4, c1) = c1)) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1267', '1268'])). 318.63/46.69 tff('1270', plain, (g(c4, c1) = c1) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1269'])). 318.63/46.69 tff('1271', plain, (c3 = c1) <= ((g(c4, c1) = c3) & (g(c5, c1) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1266', '1270'])). 318.63/46.69 tff('1272', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1273', plain, ~ (g(c4, c1) = c3) | ~ (g(c5, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1271', '1272'])). 318.63/46.69 tff('1274', plain, (g(c4, c1) = c3) <= ((g(c4, c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['1265'])). 318.63/46.69 tff('1275', plain, (g(c4, c2) = c4) <= ((g(c4, c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('1276', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.69 tff('1277', plain, ((c4 != c4 | g(c4, c1) = c2)) <= ((g(c4, c2) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1275', '1276'])). 318.63/46.69 tff('1278', plain, (g(c4, c1) = c2) <= ((g(c4, c2) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1277'])). 318.63/46.69 tff('1279', plain, (c3 = c2) <= ((g(c4, c1) = c3) & (g(c4, c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1274', '1278'])). 318.63/46.69 tff('1280', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1281', plain, ~ (g(c4, c2) = c4) | ~ (g(c4, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1279', '1280'])). 318.63/46.69 tff('1282', plain, (g(s(c5), s(s(c5))) = c4) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.69 inference('split', [status(esa)], ['226'])). 318.63/46.69 tff('1283', plain, 318.63/46.69 (g(s(c5), s(s(c5))) = c1) <= ((g(s(s(c5)), s(s(c5))) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['546'])). 318.63/46.69 tff('1284', plain, 318.63/46.69 (c4 = c1) <= ((g(s(c5), s(s(c5))) = c4) & (g(s(s(c5)), s(s(c5))) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1282', '1283'])). 318.63/46.69 tff('1285', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1286', plain, 318.63/46.69 ~ (g(s(c5), s(s(c5))) = c4) | ~ (g(s(s(c5)), s(s(c5))) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1284', '1285'])). 318.63/46.69 tff('1287', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1288', plain, (g(s(s(c5)), s(c5)) = c4) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('1289', plain, 318.63/46.69 ((c3 = c4 318.63/46.69 | g(s(c5), s(c5)) = c3 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c2)) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1287', '1288'])). 318.63/46.69 tff('1290', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1291', plain, 318.63/46.69 ((g(s(c5), s(c5)) = c3 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c2)) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1289', '1290'])). 318.63/46.69 tff('1292', plain, 318.63/46.69 ~ (g(s(s(c5)), s(c5)) = c4) | (g(s(c5), s(c5)) = c4) | 318.63/46.69 (g(s(c5), s(c5)) = c5) | (g(s(c5), s(c5)) = c2) | (g(s(c5), s(c5)) = c3), 318.63/46.69 inference('split', [status(esa)], ['1291'])). 318.63/46.69 tff('1293', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), X0) = c1 318.63/46.69 | g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['377'])). 318.63/46.69 tff('1294', plain, 318.63/46.69 (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['537'])). 318.63/46.69 tff('1295', plain, 318.63/46.69 ((c4 = c2 318.63/46.69 | g(c8, s(c5)) = c3 318.63/46.69 | g(s(s(c5)), s(c5)) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c2 318.63/46.69 | g(s(c5), s(s(c5))) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c3 318.63/46.69 | g(s(c5), s(c5)) = c1)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1293', '1294'])). 318.63/46.69 tff('1296', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1297', plain, 318.63/46.69 ((g(c8, s(c5)) = c3 318.63/46.69 | g(s(s(c5)), s(c5)) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c2 318.63/46.69 | g(s(c5), s(s(c5))) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c3 318.63/46.69 | g(s(c5), s(c5)) = c1)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1295', '1296'])). 318.63/46.69 tff('1298', plain, 318.63/46.69 ~ (g(s(s(c5)), s(s(c5))) = c4) | (g(s(c5), s(c5)) = c1) | 318.63/46.69 (g(s(c5), s(s(c5))) = c5) | (g(s(c5), s(s(c5))) = c4) | 318.63/46.69 (g(s(c5), s(s(c5))) = c3) | (g(s(s(c5)), s(c5)) = c5) | 318.63/46.69 (g(s(c5), s(s(c5))) = c2) | (g(c8, s(c5)) = c3), 318.63/46.69 inference('split', [status(esa)], ['1297'])). 318.63/46.69 tff('1299', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1300', plain, (g(s(c5), s(c5)) = c1) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('split', [status(esa)], ['502'])). 318.63/46.69 tff('1301', plain, 318.63/46.69 ((c3 = c1 318.63/46.69 | g(c5, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c5 318.63/46.69 | g(c5, s(c5)) = c4 318.63/46.69 | g(c5, s(c5)) = c2)) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['1299', '1300'])). 318.63/46.69 tff('1302', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1303', plain, 318.63/46.69 ((g(c5, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c5 318.63/46.69 | g(c5, s(c5)) = c4 318.63/46.69 | g(c5, s(c5)) = c2)) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1301', '1302'])). 318.63/46.69 tff('1304', plain, 318.63/46.69 (g(c5, s(c5)) = c2) | (g(c5, s(c5)) = c3) | (g(c5, s(c5)) = c5) | 318.63/46.69 (g(c5, s(c5)) = c4) | ~ (g(s(c5), s(c5)) = c1), 318.63/46.69 inference('split', [status(esa)], ['1303'])). 318.63/46.69 tff('1305', plain, (g(s(s(c5)), c8) = c4) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1023'])). 318.63/46.69 tff('1306', plain, (g(s(s(c5)), c8) = c3) <= ((g(s(s(c5)), c8) = c3)), 318.63/46.69 inference('split', [status(esa)], ['1023'])). 318.63/46.69 tff('1307', plain, 318.63/46.69 (c4 = c3) <= ((g(s(s(c5)), c8) = c4) & (g(s(s(c5)), c8) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1305', '1306'])). 318.63/46.69 tff('1308', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1309', plain, ~ (g(s(s(c5)), c8) = c4) | ~ (g(s(s(c5)), c8) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1307', '1308'])). 318.63/46.69 tff('1310', plain, (g(c4, c5) = c3) <= ((g(c4, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('1311', plain, (g(c5, c5) = c3) <= ((g(c5, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('1312', plain, ![X0]: (g(c5, X0) != c3 | g(c4, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['396', '397'])). 318.63/46.69 tff('1313', plain, ((c3 != c3 | g(c4, c5) = c1)) <= ((g(c5, c5) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1311', '1312'])). 318.63/46.69 tff('1314', plain, (g(c4, c5) = c1) <= ((g(c5, c5) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1313'])). 318.63/46.69 tff('1315', plain, (c3 = c1) <= ((g(c5, c5) = c3) & (g(c4, c5) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1310', '1314'])). 318.63/46.69 tff('1316', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1317', plain, ~ (g(c5, c5) = c3) | ~ (g(c4, c5) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1315', '1316'])). 318.63/46.69 tff('1318', plain, (g(s(s(c5)), s(c5)) = c3) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('1319', plain, (g(s(s(c5)), s(c5)) = c1) <= ((g(c8, s(c5)) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['361'])). 318.63/46.69 tff('1320', plain, 318.63/46.69 (c3 = c1) <= ((g(s(s(c5)), s(c5)) = c3) & (g(c8, s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1318', '1319'])). 318.63/46.69 tff('1321', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1322', plain, ~ (g(c8, s(c5)) = c3) | ~ (g(s(s(c5)), s(c5)) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1320', '1321'])). 318.63/46.69 tff('1323', plain, (g(s(s(c5)), s(c5)) = c4) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('1324', plain, (g(s(s(c5)), s(c5)) = c1) <= ((g(c8, s(c5)) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['361'])). 318.63/46.69 tff('1325', plain, 318.63/46.69 (c4 = c1) <= ((g(s(s(c5)), s(c5)) = c4) & (g(c8, s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1323', '1324'])). 318.63/46.69 tff('1326', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1327', plain, ~ (g(c8, s(c5)) = c3) | ~ (g(s(s(c5)), s(c5)) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1325', '1326'])). 318.63/46.69 tff('1328', plain, (g(s(c5), c5) = c4) <= ((g(s(c5), c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['585'])). 318.63/46.69 tff('1329', plain, (g(s(c5), c5) = c2) <= ((g(s(c5), s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['353'])). 318.63/46.69 tff('1330', plain, 318.63/46.69 (c4 = c2) <= ((g(s(c5), c5) = c4) & (g(s(c5), s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1328', '1329'])). 318.63/46.69 tff('1331', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1332', plain, ~ (g(s(c5), c5) = c4) | ~ (g(s(c5), s(c5)) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1330', '1331'])). 318.63/46.69 tff('1333', plain, (g(s(c5), c5) = c3) <= ((g(s(c5), c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['428'])). 318.63/46.69 tff('1334', plain, (g(s(c5), c5) = c4) <= ((g(s(c5), c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['585'])). 318.63/46.69 tff('1335', plain, (c3 = c4) <= ((g(s(c5), c5) = c3) & (g(s(c5), c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1333', '1334'])). 318.63/46.69 tff('1336', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1337', plain, ~ (g(s(c5), c5) = c3) | ~ (g(s(c5), c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1335', '1336'])). 318.63/46.69 tff('1338', plain, (g(s(c5), c5) = c2) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('split', [status(esa)], ['585'])). 318.63/46.69 tff('1339', plain, (g(s(c5), c5) = c4) <= ((g(s(c5), c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['585'])). 318.63/46.69 tff('1340', plain, (c2 = c4) <= ((g(s(c5), c5) = c2) & (g(s(c5), c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1338', '1339'])). 318.63/46.69 tff('1341', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1342', plain, ~ (g(s(c5), c5) = c2) | ~ (g(s(c5), c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1340', '1341'])). 318.63/46.69 tff('1343', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1344', plain, (g(s(c5), s(c5)) = c2) <= ((g(s(c5), s(c5)) = c2)), 318.63/46.69 inference('split', [status(esa)], ['456'])). 318.63/46.69 tff('1345', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c5, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c5 318.63/46.69 | g(c5, s(c5)) = c4 318.63/46.69 | g(c5, s(c5)) = c2)) <= ((g(s(c5), s(c5)) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1343', '1344'])). 318.63/46.69 tff('1346', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1347', plain, 318.63/46.69 ((g(c5, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c5 318.63/46.69 | g(c5, s(c5)) = c4 318.63/46.69 | g(c5, s(c5)) = c2)) <= ((g(s(c5), s(c5)) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1345', '1346'])). 318.63/46.69 tff('1348', plain, 318.63/46.69 (g(c5, s(c5)) = c2) | (g(c5, s(c5)) = c3) | (g(c5, s(c5)) = c5) | 318.63/46.69 (g(c5, s(c5)) = c4) | ~ (g(s(c5), s(c5)) = c2), 318.63/46.69 inference('split', [status(esa)], ['1347'])). 318.63/46.69 tff('1349', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['373', '374'])). 318.63/46.69 tff('1350', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['974'])). 318.63/46.69 tff('1351', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c8, c5) = c3 318.63/46.69 | g(s(s(c5)), c5) = c5 318.63/46.69 | g(s(s(c5)), c5) = c4 318.63/46.69 | g(s(c5), s(c5)) = c2 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c3)) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1349', '1350'])). 318.63/46.69 tff('1352', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['974'])). 318.63/46.69 tff('1353', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c8, c5) = c3 318.63/46.69 | c2 = c5 318.63/46.69 | g(s(s(c5)), c5) = c4 318.63/46.69 | g(s(c5), s(c5)) = c2 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c3)) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('demod', [status(thm)], ['1351', '1352'])). 318.63/46.69 tff('1354', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.69 tff('1355', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1356', plain, 318.63/46.69 ((g(c8, c5) = c3 318.63/46.69 | g(s(s(c5)), c5) = c4 318.63/46.69 | g(s(c5), s(c5)) = c2 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c3)) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1353', '1354', '1355'])). 318.63/46.69 tff('1357', plain, 318.63/46.69 ~ (g(s(s(c5)), s(c5)) = c4) | (g(s(c5), s(c5)) = c4) | 318.63/46.69 (g(s(c5), s(c5)) = c5) | (g(s(c5), s(c5)) = c2) | 318.63/46.69 (g(s(c5), s(c5)) = c3) | (g(c8, c5) = c3) | (g(s(s(c5)), c5) = c4), 318.63/46.69 inference('split', [status(esa)], ['1356'])). 318.63/46.69 tff('1358', plain, (g(s(c5), s(s(c5))) = c4) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.69 inference('split', [status(esa)], ['226'])). 318.63/46.69 tff('1359', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1360', plain, 318.63/46.69 ((c4 != c4 | g(s(c5), s(c5)) = c2)) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1358', '1359'])). 318.63/46.69 tff('1361', plain, (g(s(c5), s(c5)) = c2) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1360'])). 318.63/46.69 tff('1362', plain, (g(s(c5), s(c5)) = c5) <= ((g(s(c5), s(c5)) = c5)), 318.63/46.69 inference('split', [status(esa)], ['240'])). 318.63/46.69 tff('1363', plain, 318.63/46.69 (c2 = c5) <= ((g(s(c5), s(s(c5))) = c4) & (g(s(c5), s(c5)) = c5)), 318.63/46.69 inference('sup+', [status(thm)], ['1361', '1362'])). 318.63/46.69 tff('1364', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.69 tff('1365', plain, ~ (g(s(c5), s(c5)) = c5) | ~ (g(s(c5), s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1363', '1364'])). 318.63/46.69 tff('1366', plain, (g(s(c5), s(c5)) = c2) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1360'])). 318.63/46.69 tff('1367', plain, (g(s(c5), s(c5)) = c3) <= ((g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['240'])). 318.63/46.69 tff('1368', plain, 318.63/46.69 (c2 = c3) <= ((g(s(c5), s(s(c5))) = c4) & (g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1366', '1367'])). 318.63/46.69 tff('1369', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1370', plain, ~ (g(s(c5), s(c5)) = c3) | ~ (g(s(c5), s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1368', '1369'])). 318.63/46.69 tff('1371', plain, (g(s(c5), s(c5)) = c2) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1360'])). 318.63/46.69 tff('1372', plain, (g(s(c5), s(c5)) = c4) <= ((g(s(c5), s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['240'])). 318.63/46.69 tff('1373', plain, 318.63/46.69 (c2 = c4) <= ((g(s(c5), s(s(c5))) = c4) & (g(s(c5), s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1371', '1372'])). 318.63/46.69 tff('1374', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1375', plain, ~ (g(s(c5), s(s(c5))) = c4) | ~ (g(s(c5), s(c5)) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1373', '1374'])). 318.63/46.69 tff('1376', plain, (g(c8, c5) = c3) <= ((g(c8, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['633'])). 318.63/46.69 tff('1377', plain, ![X0]: (g(c8, X0) != c3 | g(s(s(c5)), X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['71', '72'])). 318.63/46.69 tff('1378', plain, ((c3 != c3 | g(s(s(c5)), c5) = c1)) <= ((g(c8, c5) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1376', '1377'])). 318.63/46.69 tff('1379', plain, (g(s(s(c5)), c5) = c1) <= ((g(c8, c5) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1378'])). 318.63/46.69 tff('1380', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), c5) = c2)), 318.63/46.69 inference('split', [status(esa)], ['658'])). 318.63/46.69 tff('1381', plain, (c1 = c2) <= ((g(c8, c5) = c3) & (g(s(s(c5)), c5) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1379', '1380'])). 318.63/46.69 tff('1382', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1383', plain, ~ (g(s(s(c5)), c5) = c2) | ~ (g(c8, c5) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1381', '1382'])). 318.63/46.69 tff('1384', plain, 318.63/46.69 (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['537'])). 318.63/46.69 tff('1385', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), X0) = c1 318.63/46.69 | g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['377'])). 318.63/46.69 tff('1386', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1387', plain, 318.63/46.69 ![X0]: 318.63/46.69 (c4 != c4 318.63/46.69 | g(c8, s(X0)) = c3 318.63/46.69 | g(s(s(c5)), s(X0)) = c5 318.63/46.69 | g(s(c5), s(s(X0))) = c2 318.63/46.69 | g(s(c5), s(s(X0))) = c4 318.63/46.69 | g(s(c5), s(s(X0))) = c5 318.63/46.69 | g(s(c5), s(s(X0))) = c3 318.63/46.69 | g(s(c5), s(X0)) = c1 318.63/46.69 | g(s(s(c5)), X0) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['1385', '1386'])). 318.63/46.69 tff('1388', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(s(c5)), X0) = c2 318.63/46.69 | g(s(c5), s(X0)) = c1 318.63/46.69 | g(s(c5), s(s(X0))) = c3 318.63/46.69 | g(s(c5), s(s(X0))) = c5 318.63/46.69 | g(s(c5), s(s(X0))) = c4 318.63/46.69 | g(s(c5), s(s(X0))) = c2 318.63/46.69 | g(s(s(c5)), s(X0)) = c5 318.63/46.69 | g(c8, s(X0)) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['1387'])). 318.63/46.69 tff('1389', plain, 318.63/46.69 ((c2 = c5 318.63/46.69 | g(c8, s(c5)) = c3 318.63/46.69 | g(s(c5), s(s(c5))) = c2 318.63/46.69 | g(s(c5), s(s(c5))) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c3 318.63/46.69 | g(s(c5), s(c5)) = c1 318.63/46.69 | g(s(s(c5)), c5) = c2)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1384', '1388'])). 318.63/46.69 tff('1390', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.69 tff('1391', plain, 318.63/46.69 ((g(c8, s(c5)) = c3 318.63/46.69 | g(s(c5), s(s(c5))) = c2 318.63/46.69 | g(s(c5), s(s(c5))) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c3 318.63/46.69 | g(s(c5), s(c5)) = c1 318.63/46.69 | g(s(s(c5)), c5) = c2)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1389', '1390'])). 318.63/46.69 tff('1392', plain, 318.63/46.69 (g(s(c5), s(c5)) = c1) | (g(s(s(c5)), c5) = c2) | (g(c8, s(c5)) = c3) | 318.63/46.69 (g(s(c5), s(s(c5))) = c5) | (g(s(c5), s(s(c5))) = c3) | 318.63/46.69 (g(s(c5), s(s(c5))) = c4) | (g(s(c5), s(s(c5))) = c2) | 318.63/46.69 ~ (g(s(s(c5)), s(s(c5))) = c4), 318.63/46.69 inference('split', [status(esa)], ['1391'])). 318.63/46.69 tff('1393', plain, (g(s(c5), s(c5)) = c1) <= ((g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('split', [status(esa)], ['502'])). 318.63/46.69 tff('1394', plain, (g(s(c5), c5) = c2) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('split', [status(esa)], ['585'])). 318.63/46.69 tff('1395', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1396', plain, 318.63/46.69 ((c2 != c2 | g(s(c5), s(c5)) = c4)) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1394', '1395'])). 318.63/46.69 tff('1397', plain, (g(s(c5), s(c5)) = c4) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1396'])). 318.63/46.69 tff('1398', plain, 318.63/46.69 (c1 = c4) <= ((g(s(c5), c5) = c2) & (g(s(c5), s(c5)) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['1393', '1397'])). 318.63/46.69 tff('1399', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1400', plain, ~ (g(s(c5), c5) = c2) | ~ (g(s(c5), s(c5)) = c1), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1398', '1399'])). 318.63/46.69 tff('1401', plain, (g(s(s(c5)), c5) = c4) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['331'])). 318.63/46.69 tff('1402', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), c5) = c2)), 318.63/46.69 inference('split', [status(esa)], ['658'])). 318.63/46.69 tff('1403', plain, 318.63/46.69 (c4 = c2) <= ((g(s(s(c5)), c5) = c4) & (g(s(s(c5)), c5) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1401', '1402'])). 318.63/46.69 tff('1404', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1405', plain, ~ (g(s(s(c5)), c5) = c2) | ~ (g(s(s(c5)), c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1403', '1404'])). 318.63/46.69 tff('1406', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), X0) = c1 318.63/46.69 | g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['377'])). 318.63/46.69 tff('1407', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.69 tff('1408', plain, 318.63/46.69 (c4 != c4 318.63/46.69 | g(c8, c5) = c3 318.63/46.69 | g(s(s(c5)), c5) = c5 318.63/46.69 | g(s(c5), s(c5)) = c2 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c3 318.63/46.69 | g(s(c5), c5) = c1 318.63/46.69 | g(s(s(c5)), c4) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['1406', '1407'])). 318.63/46.69 tff('1409', plain, 318.63/46.69 (g(s(s(c5)), c4) = c2 318.63/46.69 | g(s(c5), c5) = c1 318.63/46.69 | g(s(c5), s(c5)) = c3 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c2 318.63/46.69 | g(s(s(c5)), c5) = c5 318.63/46.69 | g(c8, c5) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['1408'])). 318.63/46.69 tff('1410', plain, 318.63/46.69 (g(c8, c5) = c3) | (g(s(c5), c5) = c1) | (g(s(s(c5)), c5) = c5) | 318.63/46.69 (g(s(c5), s(c5)) = c4) | (g(s(c5), s(c5)) = c3) | 318.63/46.69 (g(s(c5), s(c5)) = c2) | (g(s(c5), s(c5)) = c5) | (g(s(s(c5)), c4) = c2), 318.63/46.69 inference('split', [status(esa)], ['1409'])). 318.63/46.69 tff('1411', plain, (g(s(s(c5)), c5) = c4) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['331'])). 318.63/46.69 tff('1412', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1413', plain, 318.63/46.69 ((c4 != c5 | zip_tseitin_2(c5, s(s(c5))))) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1411', '1412'])). 318.63/46.69 tff('1414', plain, 318.63/46.69 ( zip_tseitin_2(c5, s(s(c5)))) <= (( zip_tseitin_2(c5, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['1413'])). 318.63/46.69 tff('1415', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('1416', plain, 318.63/46.69 (( zip_tseitin_1(c5, s(s(c5))) | zip_tseitin_0(c5, s(s(c5))))) 318.63/46.69 <= (( zip_tseitin_2(c5, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['1414', '1415'])). 318.63/46.69 tff('1417', plain, 318.63/46.69 ( zip_tseitin_0(c5, s(s(c5)))) <= (( zip_tseitin_0(c5, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['1416'])). 318.63/46.69 tff('1418', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('1419', plain, (c5 = c1) <= (( zip_tseitin_0(c5, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['1417', '1418'])). 318.63/46.69 tff('1420', plain, c1 != c5, 318.63/46.69 inference('demod', [status(thm)], ['129', '130'])). 318.63/46.69 tff('1421', plain, ~ ( zip_tseitin_0(c5, s(s(c5)))), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1419', '1420'])). 318.63/46.69 tff('1422', plain, 318.63/46.69 ( zip_tseitin_1(c5, s(s(c5)))) <= (( zip_tseitin_1(c5, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['1416'])). 318.63/46.69 tff('1423', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('1424', plain, (c5 = c8) <= (( zip_tseitin_1(c5, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['1422', '1423'])). 318.63/46.69 tff('1425', plain, 318.63/46.69 ( zip_tseitin_1(c5, s(s(c5)))) <= (( zip_tseitin_1(c5, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['1416'])). 318.63/46.69 tff('1426', plain, (c5 = c8) <= (( zip_tseitin_1(c5, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['1422', '1423'])). 318.63/46.69 tff('1427', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1428', plain, (c1 = s(c5)) <= (( zip_tseitin_1(c5, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['1426', '1427'])). 318.63/46.69 tff('1429', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1430', plain, 318.63/46.69 ( zip_tseitin_1(c5, c2)) <= (( zip_tseitin_1(c5, s(s(c5))))), 318.63/46.69 inference('demod', [status(thm)], ['1425', '1428', '1429'])). 318.63/46.69 tff('1431', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('1432', plain, (c2 = c8) <= (( zip_tseitin_1(c5, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['1430', '1431'])). 318.63/46.69 tff('1433', plain, (c2 = c5) <= (( zip_tseitin_1(c5, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['1424', '1432'])). 318.63/46.69 tff('1434', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.69 tff('1435', plain, ~ ( zip_tseitin_1(c5, s(s(c5)))), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1433', '1434'])). 318.63/46.69 tff('1436', plain, (g(s(s(c5)), c5) = c5) <= ((g(s(s(c5)), c5) = c5)), 318.63/46.69 inference('split', [status(esa)], ['331'])). 318.63/46.69 tff('1437', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1438', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c5, s(s(c5))))) <= ((g(s(s(c5)), c5) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['1436', '1437'])). 318.63/46.69 tff('1439', plain, 318.63/46.69 ( zip_tseitin_2(c5, s(s(c5)))) <= ((g(s(s(c5)), c5) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['1438'])). 318.63/46.69 tff('1440', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('1441', plain, 318.63/46.69 (( zip_tseitin_1(c5, s(s(c5))) | zip_tseitin_0(c5, s(s(c5))))) 318.63/46.69 <= ((g(s(s(c5)), c5) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['1439', '1440'])). 318.63/46.69 tff('1442', plain, 318.63/46.69 ~ (g(s(s(c5)), c5) = c5) | ( zip_tseitin_1(c5, s(s(c5)))) | 318.63/46.69 ( zip_tseitin_0(c5, s(s(c5)))), 318.63/46.69 inference('split', [status(esa)], ['1441'])). 318.63/46.69 tff('1443', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['974'])). 318.63/46.69 tff('1444', plain, (g(s(c5), c5) = c1) <= ((g(s(c5), c5) = c1)), 318.63/46.69 inference('split', [status(esa)], ['961'])). 318.63/46.69 tff('1445', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1446', plain, 318.63/46.69 ((c1 != c1 | g(s(s(c5)), c5) = c3)) <= ((g(s(c5), c5) = c1)), 318.63/46.69 inference('sup-', [status(thm)], ['1444', '1445'])). 318.63/46.69 tff('1447', plain, (g(s(s(c5)), c5) = c3) <= ((g(s(c5), c5) = c1)), 318.63/46.69 inference('simplify', [status(thm)], ['1446'])). 318.63/46.69 tff('1448', plain, 318.63/46.69 (c2 = c3) <= ((g(s(s(c5)), s(c5)) = c4) & (g(s(c5), c5) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['1443', '1447'])). 318.63/46.69 tff('1449', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1450', plain, ~ (g(s(c5), c5) = c1) | ~ (g(s(s(c5)), s(c5)) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1448', '1449'])). 318.63/46.69 tff('1451', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c4) = c2)), 318.63/46.69 inference('split', [status(esa)], ['331'])). 318.63/46.69 tff('1452', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1453', plain, 318.63/46.69 ((c2 != c2 | g(s(s(c5)), s(c4)) = c4)) <= ((g(s(s(c5)), c4) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1451', '1452'])). 318.63/46.69 tff('1454', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1455', plain, 318.63/46.69 ((c2 != c2 | g(s(s(c5)), c5) = c4)) <= ((g(s(s(c5)), c4) = c2)), 318.63/46.69 inference('demod', [status(thm)], ['1453', '1454'])). 318.63/46.69 tff('1456', plain, (g(s(s(c5)), c5) = c4) <= ((g(s(s(c5)), c4) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1455'])). 318.63/46.69 tff('1457', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['974'])). 318.63/46.69 tff('1458', plain, 318.63/46.69 (c4 = c2) <= ((g(s(s(c5)), c4) = c2) & (g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1456', '1457'])). 318.63/46.69 tff('1459', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1460', plain, ~ (g(s(s(c5)), c4) = c2) | ~ (g(s(s(c5)), s(c5)) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1458', '1459'])). 318.63/46.69 tff('1461', plain, (g(c8, c5) = c3) <= ((g(c8, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['633'])). 318.63/46.69 tff('1462', plain, (g(c8, s(c5)) = c4) <= ((g(c8, s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['636'])). 318.63/46.69 tff('1463', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1464', plain, ((c4 != c4 | g(c8, c5) = c2)) <= ((g(c8, s(c5)) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1462', '1463'])). 318.63/46.69 tff('1465', plain, (g(c8, c5) = c2) <= ((g(c8, s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1464'])). 318.63/46.69 tff('1466', plain, (c3 = c2) <= ((g(c8, c5) = c3) & (g(c8, s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1461', '1465'])). 318.63/46.69 tff('1467', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1468', plain, ~ (g(c8, s(c5)) = c4) | ~ (g(c8, c5) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1466', '1467'])). 318.63/46.69 tff('1469', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['373', '374'])). 318.63/46.69 tff('1470', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['369'])). 318.63/46.69 tff('1471', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c8, c4) = c3 318.63/46.69 | g(s(s(c5)), c4) = c5 318.63/46.69 | g(s(s(c5)), c4) = c4 318.63/46.69 | g(s(c5), s(c4)) = c2 318.63/46.69 | g(s(c5), s(c4)) = c4 318.63/46.69 | g(s(c5), s(c4)) = c5 318.63/46.69 | g(s(c5), s(c4)) = c3)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1469', '1470'])). 318.63/46.69 tff('1472', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['369'])). 318.63/46.69 tff('1473', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1474', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1475', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1476', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1477', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c8, c4) = c3 318.63/46.69 | c2 = c5 318.63/46.69 | g(s(s(c5)), c4) = c4 318.63/46.69 | g(s(c5), c5) = c2 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c3)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('demod', [status(thm)], 318.63/46.69 ['1471', '1472', '1473', '1474', '1475', '1476'])). 318.63/46.69 tff('1478', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.69 tff('1479', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1480', plain, 318.63/46.69 ((g(c8, c4) = c3 318.63/46.69 | g(s(s(c5)), c4) = c4 318.63/46.69 | g(s(c5), c5) = c2 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c3)) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1477', '1478', '1479'])). 318.63/46.69 tff('1481', plain, 318.63/46.69 ~ (g(s(s(c5)), c5) = c4) | (g(c8, c4) = c3) | (g(s(c5), c5) = c3) | 318.63/46.69 (g(s(c5), c5) = c2) | (g(s(c5), c5) = c4) | (g(s(s(c5)), c4) = c4) | 318.63/46.69 (g(s(c5), c5) = c5), inference('split', [status(esa)], ['1480'])). 318.63/46.69 tff('1482', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, s(X0)) = c4 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['641'])). 318.63/46.69 tff('1483', plain, (g(c8, s(s(c5))) = c3) <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('split', [status(esa)], ['647'])). 318.63/46.69 tff('1484', plain, 318.63/46.69 ((c4 = c3 | g(c8, s(c5)) = c3 | g(c8, s(c5)) = c5 | g(c8, s(c5)) = c4)) 318.63/46.69 <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1482', '1483'])). 318.63/46.69 tff('1485', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1486', plain, 318.63/46.69 ((g(c8, s(c5)) = c3 | g(c8, s(c5)) = c5 | g(c8, s(c5)) = c4)) 318.63/46.69 <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1484', '1485'])). 318.63/46.69 tff('1487', plain, 318.63/46.69 ~ (g(c8, s(s(c5))) = c3) | (g(c8, s(c5)) = c3) | (g(c8, s(c5)) = c5) | 318.63/46.69 (g(c8, s(c5)) = c4), inference('split', [status(esa)], ['1486'])). 318.63/46.69 tff('1488', plain, (g(c8, s(s(c5))) = c2) <= ((g(c8, s(s(c5))) = c2)), 318.63/46.69 inference('split', [status(esa)], ['118'])). 318.63/46.69 tff('1489', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1490', plain, 318.63/46.69 ((c2 != c4 | g(c8, s(c5)) = c2)) <= ((g(c8, s(s(c5))) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1488', '1489'])). 318.63/46.69 tff('1491', plain, (g(c8, s(c5)) = c2) <= ((g(c8, s(c5)) = c2)), 318.63/46.69 inference('split', [status(esa)], ['1490'])). 318.63/46.69 tff('1492', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1493', plain, 318.63/46.69 ((c2 != c5 | zip_tseitin_2(s(c5), c8))) <= ((g(c8, s(c5)) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1491', '1492'])). 318.63/46.69 tff('1494', plain, 318.63/46.69 ( zip_tseitin_2(s(c5), c8)) <= (( zip_tseitin_2(s(c5), c8))), 318.63/46.69 inference('split', [status(esa)], ['1493'])). 318.63/46.69 tff('1495', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('1496', plain, 318.63/46.69 (( zip_tseitin_1(s(c5), c8) | zip_tseitin_0(s(c5), c8))) 318.63/46.69 <= (( zip_tseitin_2(s(c5), c8))), 318.63/46.69 inference('sup-', [status(thm)], ['1494', '1495'])). 318.63/46.69 tff('1497', plain, 318.63/46.69 ( zip_tseitin_1(s(c5), c8)) <= (( zip_tseitin_1(s(c5), c8))), 318.63/46.69 inference('split', [status(esa)], ['1496'])). 318.63/46.69 tff('1498', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('1499', plain, (s(c5) = c8) <= (( zip_tseitin_1(s(c5), c8))), 318.63/46.69 inference('sup-', [status(thm)], ['1497', '1498'])). 318.63/46.69 tff('1500', plain, s(s(s(c5))) = c8, 318.63/46.69 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.69 tff('1501', plain, (s(s(c8)) = c8) <= (( zip_tseitin_1(s(c5), c8))), 318.63/46.69 inference('sup+', [status(thm)], ['1499', '1500'])). 318.63/46.69 tff('1502', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1503', plain, (s(c1) = c8) <= (( zip_tseitin_1(s(c5), c8))), 318.63/46.69 inference('demod', [status(thm)], ['1501', '1502'])). 318.63/46.69 tff('1504', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1505', plain, (s(s(s(c8))) != c1) <= (( zip_tseitin_1(s(c5), c8))), 318.63/46.69 inference('sup-', [status(thm)], ['1503', '1504'])). 318.63/46.69 tff('1506', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1507', plain, (s(c1) = c8) <= (( zip_tseitin_1(s(c5), c8))), 318.63/46.69 inference('demod', [status(thm)], ['1501', '1502'])). 318.63/46.69 tff('1508', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1509', plain, (c1 != c1) <= (( zip_tseitin_1(s(c5), c8))), 318.63/46.69 inference('demod', [status(thm)], ['1505', '1506', '1507', '1508'])). 318.63/46.69 tff('1510', plain, ~ ( zip_tseitin_1(s(c5), c8)), 318.63/46.69 inference('simplify', [status(thm)], ['1509'])). 318.63/46.69 tff('1511', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1512', plain, 318.63/46.69 ( zip_tseitin_0(s(c5), c8)) <= (( zip_tseitin_0(s(c5), c8))), 318.63/46.69 inference('split', [status(esa)], ['1496'])). 318.63/46.69 tff('1513', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('1514', plain, (c8 = c1) <= (( zip_tseitin_0(s(c5), c8))), 318.63/46.69 inference('sup-', [status(thm)], ['1512', '1513'])). 318.63/46.69 tff('1515', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1516', plain, (c1 = s(c1)) <= (( zip_tseitin_0(s(c5), c8))), 318.63/46.69 inference('sup+', [status(thm)], ['1514', '1515'])). 318.63/46.69 tff('1517', plain, (c1 = c2) <= (( zip_tseitin_0(s(c5), c8))), 318.63/46.69 inference('sup+', [status(thm)], ['1511', '1516'])). 318.63/46.69 tff('1518', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1519', plain, ~ ( zip_tseitin_0(s(c5), c8)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1517', '1518'])). 318.63/46.69 tff('1520', plain, (g(c8, s(c5)) = c5) <= ((g(c8, s(c5)) = c5)), 318.63/46.69 inference('split', [status(esa)], ['1486'])). 318.63/46.69 tff('1521', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1522', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(s(c5), c8))) <= ((g(c8, s(c5)) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['1520', '1521'])). 318.63/46.69 tff('1523', plain, ( zip_tseitin_2(s(c5), c8)) <= ((g(c8, s(c5)) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['1522'])). 318.63/46.69 tff('1524', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('1525', plain, 318.63/46.69 (( zip_tseitin_1(s(c5), c8) | zip_tseitin_0(s(c5), c8))) 318.63/46.69 <= ((g(c8, s(c5)) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['1523', '1524'])). 318.63/46.69 tff('1526', plain, 318.63/46.69 ( zip_tseitin_0(s(c5), c8)) | ( zip_tseitin_1(s(c5), c8)) | 318.63/46.69 ~ (g(c8, s(c5)) = c5), inference('split', [status(esa)], ['1525'])). 318.63/46.69 tff('1527', plain, (g(c8, c5) = c4) <= ((g(c8, c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['633'])). 318.63/46.69 tff('1528', plain, (g(c8, c5) = c2) <= ((g(c8, s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1464'])). 318.63/46.69 tff('1529', plain, (c4 = c2) <= ((g(c8, c5) = c4) & (g(c8, s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1527', '1528'])). 318.63/46.69 tff('1530', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1531', plain, ~ (g(c8, s(c5)) = c4) | ~ (g(c8, c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1529', '1530'])). 318.63/46.69 tff('1532', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1533', plain, (g(s(s(c5)), s(c5)) = c1) <= ((g(c8, s(c5)) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['361'])). 318.63/46.69 tff('1534', plain, 318.63/46.69 ((c3 = c1 318.63/46.69 | g(s(c5), s(c5)) = c3 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c2)) <= ((g(c8, s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1532', '1533'])). 318.63/46.69 tff('1535', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1536', plain, 318.63/46.69 ((g(s(c5), s(c5)) = c3 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c2)) <= ((g(c8, s(c5)) = c3)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1534', '1535'])). 318.63/46.69 tff('1537', plain, 318.63/46.69 ~ (g(c8, s(c5)) = c3) | (g(s(c5), s(c5)) = c3) | 318.63/46.69 (g(s(c5), s(c5)) = c4) | (g(s(c5), s(c5)) = c2) | (g(s(c5), s(c5)) = c5), 318.63/46.69 inference('split', [status(esa)], ['1536'])). 318.63/46.69 tff('1538', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1539', plain, (g(s(c5), s(c5)) = c4) <= ((g(s(c5), s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['240'])). 318.63/46.69 tff('1540', plain, 318.63/46.69 ((c3 = c4 318.63/46.69 | g(c5, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c5 318.63/46.69 | g(c5, s(c5)) = c4 318.63/46.69 | g(c5, s(c5)) = c2)) <= ((g(s(c5), s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1538', '1539'])). 318.63/46.69 tff('1541', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1542', plain, 318.63/46.69 ((g(c5, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c5 318.63/46.69 | g(c5, s(c5)) = c4 318.63/46.69 | g(c5, s(c5)) = c2)) <= ((g(s(c5), s(c5)) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1540', '1541'])). 318.63/46.69 tff('1543', plain, 318.63/46.69 (g(c5, s(c5)) = c2) | (g(c5, s(c5)) = c3) | (g(c5, s(c5)) = c5) | 318.63/46.69 (g(c5, s(c5)) = c4) | ~ (g(s(c5), s(c5)) = c4), 318.63/46.69 inference('split', [status(esa)], ['1542'])). 318.63/46.69 tff('1544', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1545', plain, 318.63/46.69 (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['537'])). 318.63/46.69 tff('1546', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(s(c5), s(c5)) = c3 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c2)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1544', '1545'])). 318.63/46.69 tff('1547', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1548', plain, 318.63/46.69 ((g(s(c5), s(c5)) = c3 318.63/46.69 | g(s(c5), s(c5)) = c5 318.63/46.69 | g(s(c5), s(c5)) = c4 318.63/46.69 | g(s(c5), s(c5)) = c2)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1546', '1547'])). 318.63/46.69 tff('1549', plain, 318.63/46.69 ~ (g(s(s(c5)), s(s(c5))) = c4) | (g(s(c5), s(c5)) = c2) | 318.63/46.69 (g(s(c5), s(c5)) = c4) | (g(s(c5), s(c5)) = c3) | (g(s(c5), s(c5)) = c5), 318.63/46.69 inference('split', [status(esa)], ['1548'])). 318.63/46.69 tff('1550', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['373', '374'])). 318.63/46.69 tff('1551', plain, 318.63/46.69 (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['537'])). 318.63/46.69 tff('1552', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c8, s(c5)) = c3 318.63/46.69 | g(s(s(c5)), s(c5)) = c5 318.63/46.69 | g(s(s(c5)), s(c5)) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c2 318.63/46.69 | g(s(c5), s(s(c5))) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c3)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1550', '1551'])). 318.63/46.69 tff('1553', plain, 318.63/46.69 (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['537'])). 318.63/46.69 tff('1554', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c8, s(c5)) = c3 318.63/46.69 | c2 = c5 318.63/46.69 | g(s(s(c5)), s(c5)) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c2 318.63/46.69 | g(s(c5), s(s(c5))) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c3)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('demod', [status(thm)], ['1552', '1553'])). 318.63/46.69 tff('1555', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.69 tff('1556', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1557', plain, 318.63/46.69 ((g(c8, s(c5)) = c3 318.63/46.69 | g(s(s(c5)), s(c5)) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c2 318.63/46.69 | g(s(c5), s(s(c5))) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c3)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1554', '1555', '1556'])). 318.63/46.69 tff('1558', plain, 318.63/46.69 ~ (g(s(s(c5)), s(s(c5))) = c4) | (g(s(c5), s(s(c5))) = c3) | 318.63/46.69 (g(s(c5), s(s(c5))) = c5) | (g(s(c5), s(s(c5))) = c4) | 318.63/46.69 (g(s(s(c5)), s(c5)) = c4) | (g(s(c5), s(s(c5))) = c2) | 318.63/46.69 (g(c8, s(c5)) = c3), inference('split', [status(esa)], ['1557'])). 318.63/46.69 tff('1559', plain, (g(s(c5), s(c5)) = c5) <= ((g(s(c5), s(c5)) = c5)), 318.63/46.69 inference('split', [status(esa)], ['240'])). 318.63/46.69 tff('1560', plain, (g(s(c5), s(c5)) = c4) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1396'])). 318.63/46.69 tff('1561', plain, 318.63/46.69 (c5 = c4) <= ((g(s(c5), c5) = c2) & (g(s(c5), s(c5)) = c5)), 318.63/46.69 inference('sup+', [status(thm)], ['1559', '1560'])). 318.63/46.69 tff('1562', plain, c5 != c4, inference('sup-', [status(thm)], ['320', '321'])). 318.63/46.69 tff('1563', plain, ~ (g(s(c5), s(c5)) = c5) | ~ (g(s(c5), c5) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1561', '1562'])). 318.63/46.69 tff('1564', plain, (g(s(c5), s(c5)) = c3) <= ((g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['240'])). 318.63/46.69 tff('1565', plain, (g(s(c5), s(c5)) = c4) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1396'])). 318.63/46.69 tff('1566', plain, 318.63/46.69 (c3 = c4) <= ((g(s(c5), c5) = c2) & (g(s(c5), s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1564', '1565'])). 318.63/46.69 tff('1567', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1568', plain, ~ (g(s(c5), s(c5)) = c3) | ~ (g(s(c5), c5) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1566', '1567'])). 318.63/46.69 tff('1569', plain, (g(s(c5), s(c5)) = c2) <= ((g(s(c5), s(c5)) = c2)), 318.63/46.69 inference('split', [status(esa)], ['456'])). 318.63/46.69 tff('1570', plain, (g(s(c5), s(c5)) = c4) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1396'])). 318.63/46.69 tff('1571', plain, 318.63/46.69 (c2 = c4) <= ((g(s(c5), c5) = c2) & (g(s(c5), s(c5)) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1569', '1570'])). 318.63/46.69 tff('1572', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1573', plain, ~ (g(s(c5), c5) = c2) | ~ (g(s(c5), s(c5)) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1571', '1572'])). 318.63/46.69 tff('1574', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1575', plain, (g(s(c5), s(c5)) = c2) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1360'])). 318.63/46.69 tff('1576', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c5, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c5 318.63/46.69 | g(c5, s(c5)) = c4 318.63/46.69 | g(c5, s(c5)) = c2)) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1574', '1575'])). 318.63/46.69 tff('1577', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1578', plain, 318.63/46.69 ((g(c5, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c5 318.63/46.69 | g(c5, s(c5)) = c4 318.63/46.69 | g(c5, s(c5)) = c2)) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1576', '1577'])). 318.63/46.69 tff('1579', plain, 318.63/46.69 (g(c5, s(c5)) = c2) | (g(c5, s(c5)) = c3) | (g(c5, s(c5)) = c5) | 318.63/46.69 (g(c5, s(c5)) = c4) | ~ (g(s(c5), s(s(c5))) = c4), 318.63/46.69 inference('split', [status(esa)], ['1578'])). 318.63/46.69 tff('1580', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, X0) = c2 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['14'])). 318.63/46.69 tff('1581', plain, ![X0]: (g(X0, c3) != c4 | g(X0, c2) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['260', '261'])). 318.63/46.69 tff('1582', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c8, c3) = c3 318.63/46.69 | g(c8, c3) = c5 318.63/46.69 | g(c8, c3) = c4 318.63/46.69 | g(c8, c2) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['1580', '1581'])). 318.63/46.69 tff('1583', plain, (g(c8, c3) = c4) <= ((g(c8, c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1582'])). 318.63/46.69 tff('1584', plain, (g(c8, c4) = c4) <= ((g(c8, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['466'])). 318.63/46.69 tff('1585', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('1586', plain, ((c4 != c4 | g(c8, c3) = c2)) <= ((g(c8, c4) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1584', '1585'])). 318.63/46.69 tff('1587', plain, (g(c8, c3) = c2) <= ((g(c8, c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1586'])). 318.63/46.69 tff('1588', plain, (c4 = c2) <= ((g(c8, c4) = c4) & (g(c8, c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1583', '1587'])). 318.63/46.69 tff('1589', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1590', plain, ~ (g(c8, c4) = c4) | ~ (g(c8, c3) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1588', '1589'])). 318.63/46.69 tff('1591', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1592', plain, (g(s(c5), c2) = c2) <= ((g(s(c5), c2) = c2)), 318.63/46.69 inference('split', [status(esa)], ['1194'])). 318.63/46.69 tff('1593', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c5, c2) = c3 318.63/46.69 | g(c5, c2) = c5 318.63/46.69 | g(c5, c2) = c4 318.63/46.69 | g(c5, c2) = c2)) <= ((g(s(c5), c2) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1591', '1592'])). 318.63/46.69 tff('1594', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1595', plain, 318.63/46.69 ((g(c5, c2) = c3 | g(c5, c2) = c5 | g(c5, c2) = c4 | g(c5, c2) = c2)) 318.63/46.69 <= ((g(s(c5), c2) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1593', '1594'])). 318.63/46.69 tff('1596', plain, 318.63/46.69 ~ (g(s(c5), c2) = c2) | (g(c5, c2) = c2) | (g(c5, c2) = c4) | 318.63/46.69 (g(c5, c2) = c3) | (g(c5, c2) = c5), 318.63/46.69 inference('split', [status(esa)], ['1595'])). 318.63/46.69 tff('1597', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, X0) = c2 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['14'])). 318.63/46.69 tff('1598', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1599', plain, 318.63/46.69 (c2 != c4 | g(c8, c1) = c3 | g(c8, c1) = c5 | g(c8, c1) = c4), 318.63/46.69 inference('sup-', [status(thm)], ['1597', '1598'])). 318.63/46.69 tff('1600', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1601', plain, (c2 != c4 | g(c8, c1) = c3 | g(c8, c1) = c5), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1599', '1600'])). 318.63/46.69 tff('1602', plain, (g(c8, c1) = c3) <= ((g(c8, c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['1601'])). 318.63/46.69 tff('1603', plain, ![X0]: (g(c8, X0) != c3 | g(s(s(c5)), X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['71', '72'])). 318.63/46.69 tff('1604', plain, ((c3 != c3 | g(s(s(c5)), c1) = c1)) <= ((g(c8, c1) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1602', '1603'])). 318.63/46.69 tff('1605', plain, (g(s(s(c5)), c1) = c1) <= ((g(c8, c1) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1604'])). 318.63/46.69 tff('1606', plain, (g(s(s(c5)), c2) = c4) <= ((g(s(s(c5)), c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['522'])). 318.63/46.69 tff('1607', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.69 tff('1608', plain, 318.63/46.69 ((c4 != c4 | g(s(s(c5)), c1) = c2)) <= ((g(s(s(c5)), c2) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1606', '1607'])). 318.63/46.69 tff('1609', plain, (g(s(s(c5)), c1) = c2) <= ((g(s(s(c5)), c2) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1608'])). 318.63/46.69 tff('1610', plain, (c1 = c2) <= ((g(c8, c1) = c3) & (g(s(s(c5)), c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1605', '1609'])). 318.63/46.69 tff('1611', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1612', plain, ~ (g(s(s(c5)), c2) = c4) | ~ (g(c8, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1610', '1611'])). 318.63/46.69 tff('1613', plain, (g(s(c5), c1) = c3) <= ((g(s(c5), c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['517'])). 318.63/46.69 tff('1614', plain, (g(s(c5), c1) = c2) <= ((g(s(c5), c2) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1241'])). 318.63/46.69 tff('1615', plain, (c3 = c2) <= ((g(s(c5), c1) = c3) & (g(s(c5), c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1613', '1614'])). 318.63/46.69 tff('1616', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1617', plain, ~ (g(s(c5), c1) = c3) | ~ (g(s(c5), c2) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1615', '1616'])). 318.63/46.69 tff('1618', plain, (g(c5, c2) = c3) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('1619', plain, (g(c5, c2) = c1) <= ((g(s(c5), c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['278'])). 318.63/46.69 tff('1620', plain, (c3 = c1) <= ((g(c5, c2) = c3) & (g(s(c5), c2) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1618', '1619'])). 318.63/46.69 tff('1621', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1622', plain, ~ (g(s(c5), c2) = c3) | ~ (g(c5, c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1620', '1621'])). 318.63/46.69 tff('1623', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1624', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(s(c5)), s(X0)) = c4 318.63/46.69 | g(c8, X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c4), 318.63/46.69 inference('simplify', [status(thm)], ['245'])). 318.63/46.69 tff('1625', plain, 318.63/46.69 (g(s(s(c5)), c2) = c4 318.63/46.69 | g(s(s(c5)), c1) = c4 318.63/46.69 | g(s(s(c5)), c1) = c5 318.63/46.69 | g(s(s(c5)), c1) = c3 318.63/46.69 | g(c8, c1) = c3), 318.63/46.69 inference('sup+', [status(thm)], ['1623', '1624'])). 318.63/46.69 tff('1626', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1627', plain, 318.63/46.69 (g(s(s(c5)), c2) = c4 318.63/46.69 | g(s(s(c5)), c1) = c5 318.63/46.69 | g(s(s(c5)), c1) = c3 318.63/46.69 | g(c8, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1625', '1626'])). 318.63/46.69 tff('1628', plain, 318.63/46.69 (g(c8, c1) = c3) | (g(s(s(c5)), c2) = c4) | (g(s(s(c5)), c1) = c3) | 318.63/46.69 (g(s(s(c5)), c1) = c5), inference('split', [status(esa)], ['1627'])). 318.63/46.69 tff('1629', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1630', plain, (g(s(s(c5)), c1) = c5) <= ((g(s(s(c5)), c1) = c5)), 318.63/46.69 inference('split', [status(esa)], ['840'])). 318.63/46.69 tff('1631', plain, 318.63/46.69 ((c3 = c5 318.63/46.69 | g(s(c5), c1) = c3 318.63/46.69 | g(s(c5), c1) = c5 318.63/46.69 | g(s(c5), c1) = c4 318.63/46.69 | g(s(c5), c1) = c2)) <= ((g(s(s(c5)), c1) = c5)), 318.63/46.69 inference('sup+', [status(thm)], ['1629', '1630'])). 318.63/46.69 tff('1632', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1633', plain, c5 != c3, inference('sup-', [status(thm)], ['311', '312'])). 318.63/46.69 tff('1634', plain, 318.63/46.69 ((g(s(c5), c1) = c3 | g(s(c5), c1) = c5 | g(s(c5), c1) = c2)) 318.63/46.69 <= ((g(s(s(c5)), c1) = c5)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1631', '1632', '1633'])). 318.63/46.69 tff('1635', plain, 318.63/46.69 ~ (g(s(s(c5)), c1) = c5) | (g(s(c5), c1) = c3) | (g(s(c5), c1) = c5) | 318.63/46.69 (g(s(c5), c1) = c2), inference('split', [status(esa)], ['1634'])). 318.63/46.69 tff('1636', plain, (g(s(s(c5)), c2) = c2) <= ((g(s(s(c5)), c2) = c2)), 318.63/46.69 inference('split', [status(esa)], ['554'])). 318.63/46.69 tff('1637', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1638', plain, 318.63/46.69 ((c2 != c3 | g(s(c5), c2) = c1)) <= ((g(s(s(c5)), c2) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1636', '1637'])). 318.63/46.69 tff('1639', plain, (g(s(c5), c2) = c1) <= ((g(s(c5), c2) = c1)), 318.63/46.69 inference('split', [status(esa)], ['1638'])). 318.63/46.69 tff('1640', plain, (g(s(c5), c1) = c2) <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('split', [status(esa)], ['527'])). 318.63/46.69 tff('1641', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1642', plain, 318.63/46.69 ((c2 != c2 | g(s(c5), s(c1)) = c4)) <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1640', '1641'])). 318.63/46.69 tff('1643', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1644', plain, ((c2 != c2 | g(s(c5), c2) = c4)) <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('demod', [status(thm)], ['1642', '1643'])). 318.63/46.69 tff('1645', plain, (g(s(c5), c2) = c4) <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1644'])). 318.63/46.69 tff('1646', plain, (c1 = c4) <= ((g(s(c5), c2) = c1) & (g(s(c5), c1) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1639', '1645'])). 318.63/46.69 tff('1647', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1648', plain, ~ (g(s(c5), c2) = c1) | ~ (g(s(c5), c1) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1646', '1647'])). 318.63/46.69 tff('1649', plain, (g(s(c5), c3) = c4) <= ((g(s(c5), c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['418'])). 318.63/46.69 tff('1650', plain, ![X0]: (g(X0, c3) != c4 | g(X0, c2) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['260', '261'])). 318.63/46.69 tff('1651', plain, ((c4 != c4 | g(s(c5), c2) = c2)) <= ((g(s(c5), c3) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1649', '1650'])). 318.63/46.69 tff('1652', plain, (g(s(c5), c2) = c2) <= ((g(s(c5), c3) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1651'])). 318.63/46.69 tff('1653', plain, (g(s(c5), c2) = c4) <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1644'])). 318.63/46.69 tff('1654', plain, (c2 = c4) <= ((g(s(c5), c3) = c4) & (g(s(c5), c1) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1652', '1653'])). 318.63/46.69 tff('1655', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1656', plain, ~ (g(s(c5), c3) = c4) | ~ (g(s(c5), c1) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1654', '1655'])). 318.63/46.69 tff('1657', plain, (g(c5, c2) = c4) <= ((g(c5, c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1040'])). 318.63/46.69 tff('1658', plain, (g(c5, c2) = c1) <= ((g(s(c5), c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['278'])). 318.63/46.69 tff('1659', plain, (c4 = c1) <= ((g(s(c5), c2) = c3) & (g(c5, c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1657', '1658'])). 318.63/46.69 tff('1660', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1661', plain, ~ (g(c5, c2) = c4) | ~ (g(s(c5), c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1659', '1660'])). 318.63/46.69 tff('1662', plain, (g(s(s(c5)), c1) = c3) <= ((g(s(s(c5)), c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['840'])). 318.63/46.69 tff('1663', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1664', plain, 318.63/46.69 ((c3 != c3 | g(s(c5), c1) = c1)) <= ((g(s(s(c5)), c1) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1662', '1663'])). 318.63/46.69 tff('1665', plain, (g(s(c5), c1) = c1) <= ((g(s(s(c5)), c1) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1664'])). 318.63/46.69 tff('1666', plain, (g(s(c5), c1) = c2) <= ((g(s(c5), c2) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1241'])). 318.63/46.69 tff('1667', plain, 318.63/46.69 (c1 = c2) <= ((g(s(s(c5)), c1) = c3) & (g(s(c5), c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1665', '1666'])). 318.63/46.69 tff('1668', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1669', plain, ~ (g(s(s(c5)), c1) = c3) | ~ (g(s(c5), c2) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1667', '1668'])). 318.63/46.69 tff('1670', plain, (g(s(s(c5)), c2) = c3) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['522'])). 318.63/46.69 tff('1671', plain, (g(s(s(c5)), c1) = c2) <= ((g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('split', [status(esa)], ['522'])). 318.63/46.69 tff('1672', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1673', plain, 318.63/46.69 ((c2 != c2 | g(s(s(c5)), s(c1)) = c4)) <= ((g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1671', '1672'])). 318.63/46.69 tff('1674', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1675', plain, 318.63/46.69 ((c2 != c2 | g(s(s(c5)), c2) = c4)) <= ((g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('demod', [status(thm)], ['1673', '1674'])). 318.63/46.69 tff('1676', plain, (g(s(s(c5)), c2) = c4) <= ((g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1675'])). 318.63/46.69 tff('1677', plain, 318.63/46.69 (c3 = c4) <= ((g(s(s(c5)), c2) = c3) & (g(s(s(c5)), c1) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1670', '1676'])). 318.63/46.69 tff('1678', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1679', plain, ~ (g(s(s(c5)), c1) = c2) | ~ (g(s(s(c5)), c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1677', '1678'])). 318.63/46.69 tff('1680', plain, (g(s(s(c5)), c2) = c3) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['522'])). 318.63/46.69 tff('1681', plain, (g(s(s(c5)), c2) = c1) <= ((g(c8, c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1105'])). 318.63/46.69 tff('1682', plain, (c3 = c1) <= ((g(c8, c2) = c3) & (g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1680', '1681'])). 318.63/46.69 tff('1683', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1684', plain, ~ (g(c8, c2) = c3) | ~ (g(s(s(c5)), c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1682', '1683'])). 318.63/46.69 tff('1685', plain, (g(c5, c3) = c3) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('1686', plain, (g(c5, c4) = c4) <= ((g(c5, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1058'])). 318.63/46.69 tff('1687', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('1688', plain, ((c4 != c4 | g(c5, c3) = c2)) <= ((g(c5, c4) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1686', '1687'])). 318.63/46.69 tff('1689', plain, (g(c5, c3) = c2) <= ((g(c5, c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1688'])). 318.63/46.69 tff('1690', plain, (c3 = c2) <= ((g(c5, c3) = c3) & (g(c5, c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1685', '1689'])). 318.63/46.69 tff('1691', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1692', plain, ~ (g(c5, c4) = c4) | ~ (g(c5, c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1690', '1691'])). 318.63/46.69 tff('1693', plain, 318.63/46.69 ~ (g(s(s(c5)), c3) = c2) | (g(s(c5), c3) = c3) | (g(s(c5), c3) = c4) | 318.63/46.69 (g(s(c5), c3) = c2) | (g(s(c5), c3) = c5), 318.63/46.69 inference('split', [status(esa)], ['418'])). 318.63/46.69 tff('1694', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1695', plain, (g(s(c5), c4) = c4) <= ((g(s(c5), c3) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['794'])). 318.63/46.69 tff('1696', plain, 318.63/46.69 ((c3 = c4 318.63/46.69 | g(c5, c4) = c3 318.63/46.69 | g(c5, c4) = c5 318.63/46.69 | g(c5, c4) = c4 318.63/46.69 | g(c5, c4) = c2)) <= ((g(s(c5), c3) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1694', '1695'])). 318.63/46.69 tff('1697', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1698', plain, 318.63/46.69 ((g(c5, c4) = c3 | g(c5, c4) = c5 | g(c5, c4) = c4 | g(c5, c4) = c2)) 318.63/46.69 <= ((g(s(c5), c3) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1696', '1697'])). 318.63/46.69 tff('1699', plain, 318.63/46.69 (g(c5, c4) = c5) | (g(c5, c4) = c4) | (g(c5, c4) = c2) | 318.63/46.69 (g(c5, c4) = c3) | ~ (g(s(c5), c3) = c2), 318.63/46.69 inference('split', [status(esa)], ['1698'])). 318.63/46.69 tff('1700', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1701', plain, (g(s(c5), c2) = c1) <= ((g(s(c5), c2) = c1)), 318.63/46.69 inference('split', [status(esa)], ['1638'])). 318.63/46.69 tff('1702', plain, 318.63/46.69 ((c3 = c1 318.63/46.69 | g(c5, c2) = c3 318.63/46.69 | g(c5, c2) = c5 318.63/46.69 | g(c5, c2) = c4 318.63/46.69 | g(c5, c2) = c2)) <= ((g(s(c5), c2) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['1700', '1701'])). 318.63/46.69 tff('1703', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1704', plain, 318.63/46.69 ((g(c5, c2) = c3 | g(c5, c2) = c5 | g(c5, c2) = c4 | g(c5, c2) = c2)) 318.63/46.69 <= ((g(s(c5), c2) = c1)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1702', '1703'])). 318.63/46.69 tff('1705', plain, 318.63/46.69 ~ (g(s(c5), c2) = c1) | (g(c5, c2) = c2) | (g(c5, c2) = c3) | 318.63/46.69 (g(c5, c2) = c4) | (g(c5, c2) = c5), 318.63/46.69 inference('split', [status(esa)], ['1704'])). 318.63/46.69 tff('1706', plain, (g(c5, c3) = c2) <= ((g(c5, c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1688'])). 318.63/46.69 tff('1707', plain, (g(c5, c3) = c4) <= ((g(c5, c2) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1160'])). 318.63/46.69 tff('1708', plain, (c2 = c4) <= ((g(c5, c4) = c4) & (g(c5, c2) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1706', '1707'])). 318.63/46.69 tff('1709', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1710', plain, ~ (g(c5, c2) = c2) | ~ (g(c5, c4) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1708', '1709'])). 318.63/46.69 tff('1711', plain, (g(c4, c4) = c3) <= ((g(c4, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('1712', plain, (g(c4, c4) = c2) <= ((g(c4, c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['987'])). 318.63/46.69 tff('1713', plain, (c3 = c2) <= ((g(c4, c5) = c4) & (g(c4, c4) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1711', '1712'])). 318.63/46.69 tff('1714', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1715', plain, ~ (g(c4, c5) = c4) | ~ (g(c4, c4) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1713', '1714'])). 318.63/46.69 tff('1716', plain, (g(s(c5), c5) = c3) <= ((g(s(c5), c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['428'])). 318.63/46.69 tff('1717', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1718', plain, ((c3 != c3 | g(c5, c5) = c1)) <= ((g(s(c5), c5) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1716', '1717'])). 318.63/46.69 tff('1719', plain, (g(c5, c5) = c1) <= ((g(s(c5), c5) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1718'])). 318.63/46.69 tff('1720', plain, (g(c5, c4) = c2) <= ((g(c5, c4) = c2)), 318.63/46.69 inference('split', [status(esa)], ['1052'])). 318.63/46.69 tff('1721', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1722', plain, ((c2 != c2 | g(c5, s(c4)) = c4)) <= ((g(c5, c4) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1720', '1721'])). 318.63/46.69 tff('1723', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1724', plain, ((c2 != c2 | g(c5, c5) = c4)) <= ((g(c5, c4) = c2)), 318.63/46.69 inference('demod', [status(thm)], ['1722', '1723'])). 318.63/46.69 tff('1725', plain, (g(c5, c5) = c4) <= ((g(c5, c4) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1724'])). 318.63/46.69 tff('1726', plain, (c1 = c4) <= ((g(s(c5), c5) = c3) & (g(c5, c4) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1719', '1725'])). 318.63/46.69 tff('1727', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1728', plain, ~ (g(s(c5), c5) = c3) | ~ (g(c5, c4) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1726', '1727'])). 318.63/46.69 tff('1729', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(c5), X0) = c1 318.63/46.69 | g(s(c5), s(X0)) = c3 318.63/46.69 | g(s(c5), s(X0)) = c5 318.63/46.69 | g(s(c5), s(X0)) = c4 318.63/46.69 | g(s(c5), s(X0)) = c2 318.63/46.69 | g(s(s(c5)), X0) = c4 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['377'])). 318.63/46.69 tff('1730', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('1731', plain, 318.63/46.69 (c4 != c4 318.63/46.69 | g(c8, c4) = c3 318.63/46.69 | g(s(s(c5)), c4) = c5 318.63/46.69 | g(s(c5), s(c4)) = c2 318.63/46.69 | g(s(c5), s(c4)) = c4 318.63/46.69 | g(s(c5), s(c4)) = c5 318.63/46.69 | g(s(c5), s(c4)) = c3 318.63/46.69 | g(s(c5), c4) = c1 318.63/46.69 | g(s(s(c5)), c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['1729', '1730'])). 318.63/46.69 tff('1732', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1733', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1734', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1735', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1736', plain, 318.63/46.69 (c4 != c4 318.63/46.69 | g(c8, c4) = c3 318.63/46.69 | g(s(s(c5)), c4) = c5 318.63/46.69 | g(s(c5), c5) = c2 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c3 318.63/46.69 | g(s(c5), c4) = c1 318.63/46.69 | g(s(s(c5)), c3) = c2), 318.63/46.69 inference('demod', [status(thm)], 318.63/46.69 ['1731', '1732', '1733', '1734', '1735'])). 318.63/46.69 tff('1737', plain, 318.63/46.69 (g(s(s(c5)), c3) = c2 318.63/46.69 | g(s(c5), c4) = c1 318.63/46.69 | g(s(c5), c5) = c3 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c2 318.63/46.69 | g(s(s(c5)), c4) = c5 318.63/46.69 | g(c8, c4) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['1736'])). 318.63/46.69 tff('1738', plain, 318.63/46.69 (g(s(c5), c4) = c1) | (g(s(s(c5)), c3) = c2) | (g(s(s(c5)), c4) = c5) | 318.63/46.69 (g(s(c5), c5) = c3) | (g(s(c5), c5) = c2) | (g(s(c5), c5) = c4) | 318.63/46.69 (g(c8, c4) = c3) | (g(s(c5), c5) = c5), 318.63/46.69 inference('split', [status(esa)], ['1737'])). 318.63/46.69 tff('1739', plain, (g(s(s(c5)), c3) = c2) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('split', [status(esa)], ['287'])). 318.63/46.69 tff('1740', plain, (g(c8, c3) = c3) <= ((g(c8, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['1582'])). 318.63/46.69 tff('1741', plain, ![X0]: (g(c8, X0) != c3 | g(s(s(c5)), X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['71', '72'])). 318.63/46.69 tff('1742', plain, ((c3 != c3 | g(s(s(c5)), c3) = c1)) <= ((g(c8, c3) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1740', '1741'])). 318.63/46.69 tff('1743', plain, (g(s(s(c5)), c3) = c1) <= ((g(c8, c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1742'])). 318.63/46.69 tff('1744', plain, (c2 = c1) <= ((g(c8, c3) = c3) & (g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1739', '1743'])). 318.63/46.69 tff('1745', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1746', plain, ~ (g(s(s(c5)), c3) = c2) | ~ (g(c8, c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1744', '1745'])). 318.63/46.69 tff('1747', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1748', plain, (g(s(c5), c4) = c1) <= ((g(s(c5), c4) = c1)), 318.63/46.69 inference('split', [status(esa)], ['437'])). 318.63/46.69 tff('1749', plain, 318.63/46.69 ((c3 = c1 318.63/46.69 | g(c5, c4) = c3 318.63/46.69 | g(c5, c4) = c5 318.63/46.69 | g(c5, c4) = c4 318.63/46.69 | g(c5, c4) = c2)) <= ((g(s(c5), c4) = c1)), 318.63/46.69 inference('sup+', [status(thm)], ['1747', '1748'])). 318.63/46.69 tff('1750', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1751', plain, 318.63/46.69 ((g(c5, c4) = c3 | g(c5, c4) = c5 | g(c5, c4) = c4 | g(c5, c4) = c2)) 318.63/46.69 <= ((g(s(c5), c4) = c1)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1749', '1750'])). 318.63/46.69 tff('1752', plain, 318.63/46.69 ~ (g(s(c5), c4) = c1) | (g(c5, c4) = c2) | (g(c5, c4) = c4) | 318.63/46.69 (g(c5, c4) = c3) | (g(c5, c4) = c5), 318.63/46.69 inference('split', [status(esa)], ['1751'])). 318.63/46.69 tff('1753', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1754', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(s(c5)), s(X0)) = c4 318.63/46.69 | g(c8, X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c4), 318.63/46.69 inference('simplify', [status(thm)], ['245'])). 318.63/46.69 tff('1755', plain, 318.63/46.69 (g(s(s(c5)), c4) = c4 318.63/46.69 | g(s(s(c5)), c3) = c4 318.63/46.69 | g(s(s(c5)), c3) = c5 318.63/46.69 | g(s(s(c5)), c3) = c3 318.63/46.69 | g(c8, c3) = c3), 318.63/46.69 inference('sup+', [status(thm)], ['1753', '1754'])). 318.63/46.69 tff('1756', plain, 318.63/46.69 (g(c8, c3) = c3) | (g(s(s(c5)), c3) = c4) | (g(s(s(c5)), c3) = c5) | 318.63/46.69 (g(s(s(c5)), c4) = c4) | (g(s(s(c5)), c3) = c3), 318.63/46.69 inference('split', [status(esa)], ['1755'])). 318.63/46.69 tff('1757', plain, (g(s(s(c5)), c3) = c2) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('split', [status(esa)], ['287'])). 318.63/46.69 tff('1758', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1759', plain, 318.63/46.69 ((c2 != c5 | zip_tseitin_2(c3, s(s(c5))))) <= ((g(s(s(c5)), c3) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1757', '1758'])). 318.63/46.69 tff('1760', plain, 318.63/46.69 ( zip_tseitin_2(c3, s(s(c5)))) <= (( zip_tseitin_2(c3, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['1759'])). 318.63/46.69 tff('1761', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('1762', plain, 318.63/46.69 (( zip_tseitin_1(c3, s(s(c5))) | zip_tseitin_0(c3, s(s(c5))))) 318.63/46.69 <= (( zip_tseitin_2(c3, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['1760', '1761'])). 318.63/46.69 tff('1763', plain, 318.63/46.69 ( zip_tseitin_0(c3, s(s(c5)))) <= (( zip_tseitin_0(c3, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['1762'])). 318.63/46.69 tff('1764', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('1765', plain, (c3 = c1) <= (( zip_tseitin_0(c3, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['1763', '1764'])). 318.63/46.69 tff('1766', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1767', plain, ~ ( zip_tseitin_0(c3, s(s(c5)))), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1765', '1766'])). 318.63/46.69 tff('1768', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1769', plain, 318.63/46.69 ( zip_tseitin_1(c3, s(s(c5)))) <= (( zip_tseitin_1(c3, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['1762'])). 318.63/46.69 tff('1770', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('1771', plain, (c3 = c8) <= (( zip_tseitin_1(c3, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['1769', '1770'])). 318.63/46.69 tff('1772', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1773', plain, (c1 = s(c3)) <= (( zip_tseitin_1(c3, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['1771', '1772'])). 318.63/46.69 tff('1774', plain, (c1 = c4) <= (( zip_tseitin_1(c3, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['1768', '1773'])). 318.63/46.69 tff('1775', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1776', plain, ~ ( zip_tseitin_1(c3, s(s(c5)))), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1774', '1775'])). 318.63/46.69 tff('1777', plain, (g(s(s(c5)), c3) = c5) <= ((g(s(s(c5)), c3) = c5)), 318.63/46.69 inference('split', [status(esa)], ['554'])). 318.63/46.69 tff('1778', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1779', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c3, s(s(c5))))) <= ((g(s(s(c5)), c3) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['1777', '1778'])). 318.63/46.69 tff('1780', plain, 318.63/46.69 ( zip_tseitin_2(c3, s(s(c5)))) <= ((g(s(s(c5)), c3) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['1779'])). 318.63/46.69 tff('1781', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('1782', plain, 318.63/46.69 (( zip_tseitin_1(c3, s(s(c5))) | zip_tseitin_0(c3, s(s(c5))))) 318.63/46.69 <= ((g(s(s(c5)), c3) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['1780', '1781'])). 318.63/46.69 tff('1783', plain, 318.63/46.69 ~ (g(s(s(c5)), c3) = c5) | ( zip_tseitin_1(c3, s(s(c5)))) | 318.63/46.69 ( zip_tseitin_0(c3, s(s(c5)))), 318.63/46.69 inference('split', [status(esa)], ['1782'])). 318.63/46.69 tff('1784', plain, (g(s(c5), c3) = c3) <= ((g(s(c5), c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['412'])). 318.63/46.69 tff('1785', plain, (g(s(s(c5)), c3) = c3) <= ((g(s(s(c5)), c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['554'])). 318.63/46.69 tff('1786', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1787', plain, 318.63/46.69 ((c3 != c3 | g(s(c5), c3) = c1)) <= ((g(s(s(c5)), c3) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1785', '1786'])). 318.63/46.69 tff('1788', plain, (g(s(c5), c3) = c1) <= ((g(s(s(c5)), c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1787'])). 318.63/46.69 tff('1789', plain, 318.63/46.69 (c3 = c1) <= ((g(s(s(c5)), c3) = c3) & (g(s(c5), c3) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1784', '1788'])). 318.63/46.69 tff('1790', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1791', plain, ~ (g(s(s(c5)), c3) = c3) | ~ (g(s(c5), c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1789', '1790'])). 318.63/46.69 tff('1792', plain, (g(c4, c2) = c4) <= ((g(c4, c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('1793', plain, (g(c5, c2) = c3) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('1794', plain, ![X0]: (g(c5, X0) != c3 | g(c4, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['396', '397'])). 318.63/46.69 tff('1795', plain, ((c3 != c3 | g(c4, c2) = c1)) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1793', '1794'])). 318.63/46.69 tff('1796', plain, (g(c4, c2) = c1) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1795'])). 318.63/46.69 tff('1797', plain, (c4 = c1) <= ((g(c5, c2) = c3) & (g(c4, c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1792', '1796'])). 318.63/46.69 tff('1798', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1799', plain, ~ (g(c4, c2) = c4) | ~ (g(c5, c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1797', '1798'])). 318.63/46.69 tff('1800', plain, (g(s(c5), c1) = c3) <= ((g(s(c5), c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['517'])). 318.63/46.69 tff('1801', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1802', plain, ((c3 != c3 | g(c5, c1) = c1)) <= ((g(s(c5), c1) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1800', '1801'])). 318.63/46.69 tff('1803', plain, (g(c5, c1) = c1) <= ((g(s(c5), c1) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1802'])). 318.63/46.69 tff('1804', plain, (g(c5, c2) = c4) <= ((g(c5, c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1040'])). 318.63/46.69 tff('1805', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.69 tff('1806', plain, ((c4 != c4 | g(c5, c1) = c2)) <= ((g(c5, c2) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1804', '1805'])). 318.63/46.69 tff('1807', plain, (g(c5, c1) = c2) <= ((g(c5, c2) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1806'])). 318.63/46.69 tff('1808', plain, (c1 = c2) <= ((g(s(c5), c1) = c3) & (g(c5, c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1803', '1807'])). 318.63/46.69 tff('1809', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1810', plain, ~ (g(c5, c2) = c4) | ~ (g(s(c5), c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1808', '1809'])). 318.63/46.69 tff('1811', plain, (g(s(s(c5)), c5) = c1) <= ((g(c8, c5) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1378'])). 318.63/46.69 tff('1812', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['974'])). 318.63/46.69 tff('1813', plain, 318.63/46.69 (c1 = c2) <= ((g(c8, c5) = c3) & (g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1811', '1812'])). 318.63/46.69 tff('1814', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1815', plain, ~ (g(c8, c5) = c3) | ~ (g(s(s(c5)), s(c5)) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1813', '1814'])). 318.63/46.69 tff('1816', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(s(c5)), s(X0)) = c4 318.63/46.69 | g(c8, X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c4), 318.63/46.69 inference('simplify', [status(thm)], ['245'])). 318.63/46.69 tff('1817', plain, (g(s(s(c5)), c8) = c4) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1023'])). 318.63/46.69 tff('1818', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.69 tff('1819', plain, 318.63/46.69 ((c4 != c4 | g(s(s(c5)), s(s(c5))) = c2)) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1817', '1818'])). 318.63/46.69 tff('1820', plain, (g(s(s(c5)), s(s(c5))) = c2) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1819'])). 318.63/46.69 tff('1821', plain, 318.63/46.69 ((c4 = c2 318.63/46.69 | g(s(s(c5)), s(c5)) = c4 318.63/46.69 | g(s(s(c5)), s(c5)) = c5 318.63/46.69 | g(s(s(c5)), s(c5)) = c3 318.63/46.69 | g(c8, s(c5)) = c3)) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1816', '1820'])). 318.63/46.69 tff('1822', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1823', plain, 318.63/46.69 ((g(s(s(c5)), s(c5)) = c4 318.63/46.69 | g(s(s(c5)), s(c5)) = c5 318.63/46.69 | g(s(s(c5)), s(c5)) = c3 318.63/46.69 | g(c8, s(c5)) = c3)) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1821', '1822'])). 318.63/46.69 tff('1824', plain, 318.63/46.69 (g(s(s(c5)), s(c5)) = c3) | ~ (g(s(s(c5)), c8) = c4) | 318.63/46.69 (g(s(s(c5)), s(c5)) = c5) | (g(s(s(c5)), s(c5)) = c4) | 318.63/46.69 (g(c8, s(c5)) = c3), inference('split', [status(esa)], ['1823'])). 318.63/46.69 tff('1825', plain, (g(c5, c5) = c3) <= ((g(c5, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('1826', plain, (g(c5, c5) = c1) <= ((g(s(c5), c5) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1718'])). 318.63/46.69 tff('1827', plain, (c3 = c1) <= ((g(c5, c5) = c3) & (g(s(c5), c5) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1825', '1826'])). 318.63/46.69 tff('1828', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1829', plain, ~ (g(s(c5), c5) = c3) | ~ (g(c5, c5) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1827', '1828'])). 318.63/46.69 tff('1830', plain, (g(c5, c2) = c3) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('1831', plain, (g(c5, c2) = c2) <= ((g(c5, c2) = c2)), 318.63/46.69 inference('split', [status(esa)], ['266'])). 318.63/46.69 tff('1832', plain, (c3 = c2) <= ((g(c5, c2) = c3) & (g(c5, c2) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1830', '1831'])). 318.63/46.69 tff('1833', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1834', plain, ~ (g(c5, c2) = c2) | ~ (g(c5, c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1832', '1833'])). 318.63/46.69 tff('1835', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1836', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c4, s(X0)) = c4 318.63/46.69 | g(c5, X0) = c3 318.63/46.69 | g(c4, X0) = c3 318.63/46.69 | g(c4, X0) = c5 318.63/46.69 | g(c4, X0) = c4), 318.63/46.69 inference('simplify', [status(thm)], ['391'])). 318.63/46.69 tff('1837', plain, 318.63/46.69 (g(c4, c3) = c4 318.63/46.69 | g(c4, c2) = c4 318.63/46.69 | g(c4, c2) = c5 318.63/46.69 | g(c4, c2) = c3 318.63/46.69 | g(c5, c2) = c3), 318.63/46.69 inference('sup+', [status(thm)], ['1835', '1836'])). 318.63/46.69 tff('1838', plain, 318.63/46.69 (g(c4, c2) = c3) | (g(c4, c2) = c4) | (g(c4, c2) = c5) | 318.63/46.69 (g(c5, c2) = c3) | (g(c4, c3) = c4), 318.63/46.69 inference('split', [status(esa)], ['1837'])). 318.63/46.69 tff('1839', plain, (g(c4, c2) = c2) <= ((g(c4, c2) = c2)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('1840', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1841', plain, 318.63/46.69 ((c2 != c5 | zip_tseitin_2(c2, c4))) <= ((g(c4, c2) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1839', '1840'])). 318.63/46.69 tff('1842', plain, ( zip_tseitin_2(c2, c4)) <= (( zip_tseitin_2(c2, c4))), 318.63/46.69 inference('split', [status(esa)], ['1841'])). 318.63/46.69 tff('1843', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('1844', plain, 318.63/46.69 (( zip_tseitin_1(c2, c4) | zip_tseitin_0(c2, c4))) 318.63/46.69 <= (( zip_tseitin_2(c2, c4))), 318.63/46.69 inference('sup-', [status(thm)], ['1842', '1843'])). 318.63/46.69 tff('1845', plain, ( zip_tseitin_1(c2, c4)) <= (( zip_tseitin_1(c2, c4))), 318.63/46.69 inference('split', [status(esa)], ['1844'])). 318.63/46.69 tff('1846', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('1847', plain, (c4 = c8) <= (( zip_tseitin_1(c2, c4))), 318.63/46.69 inference('sup-', [status(thm)], ['1845', '1846'])). 318.63/46.69 tff('1848', plain, c8 != c4, 318.63/46.69 inference('demod', [status(thm)], ['681', '682'])). 318.63/46.69 tff('1849', plain, ~ ( zip_tseitin_1(c2, c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1847', '1848'])). 318.63/46.69 tff('1850', plain, ( zip_tseitin_0(c2, c4)) <= (( zip_tseitin_0(c2, c4))), 318.63/46.69 inference('split', [status(esa)], ['1844'])). 318.63/46.69 tff('1851', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('1852', plain, (c2 = c1) <= (( zip_tseitin_0(c2, c4))), 318.63/46.69 inference('sup-', [status(thm)], ['1850', '1851'])). 318.63/46.69 tff('1853', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1854', plain, ~ ( zip_tseitin_0(c2, c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1852', '1853'])). 318.63/46.69 tff('1855', plain, (g(c4, c2) = c5) <= ((g(c4, c2) = c5)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('1856', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1857', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c2, c4))) <= ((g(c4, c2) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['1855', '1856'])). 318.63/46.69 tff('1858', plain, ( zip_tseitin_2(c2, c4)) <= ((g(c4, c2) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['1857'])). 318.63/46.69 tff('1859', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('1860', plain, 318.63/46.69 (( zip_tseitin_1(c2, c4) | zip_tseitin_0(c2, c4))) <= ((g(c4, c2) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['1858', '1859'])). 318.63/46.69 tff('1861', plain, 318.63/46.69 ~ (g(c4, c2) = c5) | ( zip_tseitin_0(c2, c4)) | ( zip_tseitin_1(c2, c4)), 318.63/46.69 inference('split', [status(esa)], ['1860'])). 318.63/46.69 tff('1862', plain, (g(c4, c1) = c2) <= ((g(c4, c2) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1277'])). 318.63/46.69 tff('1863', plain, (g(c4, c1) = c1) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1269'])). 318.63/46.69 tff('1864', plain, (c2 = c1) <= ((g(c4, c2) = c4) & (g(c5, c1) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1862', '1863'])). 318.63/46.69 tff('1865', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1866', plain, ~ (g(c4, c2) = c4) | ~ (g(c5, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1864', '1865'])). 318.63/46.69 tff('1867', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1868', plain, (g(s(c5), s(c5)) = c4) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1396'])). 318.63/46.69 tff('1869', plain, 318.63/46.69 ((c3 = c4 318.63/46.69 | g(c5, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c5 318.63/46.69 | g(c5, s(c5)) = c4 318.63/46.69 | g(c5, s(c5)) = c2)) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1867', '1868'])). 318.63/46.69 tff('1870', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1871', plain, 318.63/46.69 ((g(c5, s(c5)) = c3 318.63/46.69 | g(c5, s(c5)) = c5 318.63/46.69 | g(c5, s(c5)) = c4 318.63/46.69 | g(c5, s(c5)) = c2)) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1869', '1870'])). 318.63/46.69 tff('1872', plain, 318.63/46.69 (g(c5, s(c5)) = c2) | (g(c5, s(c5)) = c3) | (g(c5, s(c5)) = c5) | 318.63/46.69 (g(c5, s(c5)) = c4) | ~ (g(s(c5), c5) = c2), 318.63/46.69 inference('split', [status(esa)], ['1871'])). 318.63/46.69 tff('1873', plain, (g(c4, c3) = c4) <= ((g(c4, c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('1874', plain, (g(c4, c4) = c4) <= ((g(c4, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('1875', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('1876', plain, ((c4 != c4 | g(c4, c3) = c2)) <= ((g(c4, c4) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1874', '1875'])). 318.63/46.69 tff('1877', plain, (g(c4, c3) = c2) <= ((g(c4, c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1876'])). 318.63/46.69 tff('1878', plain, (c4 = c2) <= ((g(c4, c4) = c4) & (g(c4, c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1873', '1877'])). 318.63/46.69 tff('1879', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1880', plain, ~ (g(c4, c3) = c4) | ~ (g(c4, c4) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1878', '1879'])). 318.63/46.69 tff('1881', plain, (g(c4, c3) = c3) <= ((g(c4, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('1882', plain, (g(c4, c3) = c2) <= ((g(c4, c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1876'])). 318.63/46.69 tff('1883', plain, (c3 = c2) <= ((g(c4, c4) = c4) & (g(c4, c3) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1881', '1882'])). 318.63/46.69 tff('1884', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1885', plain, ~ (g(c4, c4) = c4) | ~ (g(c4, c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1883', '1884'])). 318.63/46.69 tff('1886', plain, (g(c5, c3) = c3) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('1887', plain, (g(s(c5), c3) = c3) <= ((g(s(c5), c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['412'])). 318.63/46.69 tff('1888', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1889', plain, ((c3 != c3 | g(c5, c3) = c1)) <= ((g(s(c5), c3) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1887', '1888'])). 318.63/46.69 tff('1890', plain, (g(c5, c3) = c1) <= ((g(s(c5), c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1889'])). 318.63/46.69 tff('1891', plain, (c3 = c1) <= ((g(c5, c3) = c3) & (g(s(c5), c3) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1886', '1890'])). 318.63/46.69 tff('1892', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1893', plain, ~ (g(c5, c3) = c3) | ~ (g(s(c5), c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1891', '1892'])). 318.63/46.69 tff('1894', plain, (g(c3, c3) = c4) <= ((g(c3, c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['47'])). 318.63/46.69 tff('1895', plain, (g(c3, c4) = c4) <= ((g(c3, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['934'])). 318.63/46.69 tff('1896', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('1897', plain, ((c4 != c4 | g(c3, c3) = c2)) <= ((g(c3, c4) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['1895', '1896'])). 318.63/46.69 tff('1898', plain, (g(c3, c3) = c2) <= ((g(c3, c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1897'])). 318.63/46.69 tff('1899', plain, (c4 = c2) <= ((g(c3, c3) = c4) & (g(c3, c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1894', '1898'])). 318.63/46.69 tff('1900', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1901', plain, ~ (g(c3, c3) = c4) | ~ (g(c3, c4) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1899', '1900'])). 318.63/46.69 tff('1902', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1903', plain, (g(s(s(c5)), c2) = c3) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['522'])). 318.63/46.69 tff('1904', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1905', plain, 318.63/46.69 ((c3 != c3 | g(s(c5), c2) = c1)) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1903', '1904'])). 318.63/46.69 tff('1906', plain, (g(s(c5), c2) = c1) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1905'])). 318.63/46.69 tff('1907', plain, 318.63/46.69 ((c3 = c1 318.63/46.69 | g(c5, c2) = c3 318.63/46.69 | g(c5, c2) = c5 318.63/46.69 | g(c5, c2) = c4 318.63/46.69 | g(c5, c2) = c2)) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1902', '1906'])). 318.63/46.69 tff('1908', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1909', plain, 318.63/46.69 ((g(c5, c2) = c3 | g(c5, c2) = c5 | g(c5, c2) = c4 | g(c5, c2) = c2)) 318.63/46.69 <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1907', '1908'])). 318.63/46.69 tff('1910', plain, 318.63/46.69 ~ (g(s(s(c5)), c2) = c3) | (g(c5, c2) = c3) | (g(c5, c2) = c2) | 318.63/46.69 (g(c5, c2) = c4) | (g(c5, c2) = c5), 318.63/46.69 inference('split', [status(esa)], ['1909'])). 318.63/46.69 tff('1911', plain, (g(c8, s(c5)) = c3) <= ((g(c8, s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('1912', plain, (g(c8, s(c5)) = c2) <= ((g(c8, s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['650'])). 318.63/46.69 tff('1913', plain, 318.63/46.69 (c3 = c2) <= ((g(c8, s(s(c5))) = c4) & (g(c8, s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1911', '1912'])). 318.63/46.69 tff('1914', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1915', plain, ~ (g(c8, s(c5)) = c3) | ~ (g(c8, s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1913', '1914'])). 318.63/46.69 tff('1916', plain, (g(c8, s(s(c5))) = c4) <= ((g(c8, s(s(c5))) = c4)), 318.63/46.69 inference('split', [status(esa)], ['647'])). 318.63/46.69 tff('1917', plain, (g(c8, s(s(c5))) = c3) <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('split', [status(esa)], ['647'])). 318.63/46.69 tff('1918', plain, 318.63/46.69 (c4 = c3) <= ((g(c8, s(s(c5))) = c4) & (g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1916', '1917'])). 318.63/46.69 tff('1919', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1920', plain, ~ (g(c8, s(s(c5))) = c3) | ~ (g(c8, s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1918', '1919'])). 318.63/46.69 tff('1921', plain, (g(s(c5), c2) = c1) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1905'])). 318.63/46.69 tff('1922', plain, (g(s(c5), c2) = c4) <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1644'])). 318.63/46.69 tff('1923', plain, 318.63/46.69 (c1 = c4) <= ((g(s(s(c5)), c2) = c3) & (g(s(c5), c1) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1921', '1922'])). 318.63/46.69 tff('1924', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1925', plain, ~ (g(s(s(c5)), c2) = c3) | ~ (g(s(c5), c1) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1923', '1924'])). 318.63/46.69 tff('1926', plain, (g(s(c5), c2) = c1) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1905'])). 318.63/46.69 tff('1927', plain, (g(s(c5), c2) = c2) <= ((g(s(c5), c3) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1651'])). 318.63/46.69 tff('1928', plain, 318.63/46.69 (c1 = c2) <= ((g(s(s(c5)), c2) = c3) & (g(s(c5), c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1926', '1927'])). 318.63/46.69 tff('1929', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1930', plain, ~ (g(s(c5), c3) = c4) | ~ (g(s(s(c5)), c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1928', '1929'])). 318.63/46.69 tff('1931', plain, (g(s(c5), c2) = c4) <= ((g(s(c5), c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1194'])). 318.63/46.69 tff('1932', plain, (g(s(c5), c2) = c1) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1905'])). 318.63/46.69 tff('1933', plain, 318.63/46.69 (c4 = c1) <= ((g(s(s(c5)), c2) = c3) & (g(s(c5), c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1931', '1932'])). 318.63/46.69 tff('1934', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1935', plain, ~ (g(s(s(c5)), c2) = c3) | ~ (g(s(c5), c2) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1933', '1934'])). 318.63/46.69 tff('1936', plain, (g(s(c5), c2) = c2) <= ((g(s(c5), c2) = c2)), 318.63/46.69 inference('split', [status(esa)], ['1194'])). 318.63/46.69 tff('1937', plain, (g(s(c5), c2) = c1) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1905'])). 318.63/46.69 tff('1938', plain, 318.63/46.69 (c2 = c1) <= ((g(s(s(c5)), c2) = c3) & (g(s(c5), c2) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1936', '1937'])). 318.63/46.69 tff('1939', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('1940', plain, ~ (g(s(s(c5)), c2) = c3) | ~ (g(s(c5), c2) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1938', '1939'])). 318.63/46.69 tff('1941', plain, (g(s(c5), c2) = c3) <= ((g(s(c5), c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['275'])). 318.63/46.69 tff('1942', plain, (g(s(c5), c2) = c1) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1905'])). 318.63/46.69 tff('1943', plain, 318.63/46.69 (c3 = c1) <= ((g(s(s(c5)), c2) = c3) & (g(s(c5), c2) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1941', '1942'])). 318.63/46.69 tff('1944', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1945', plain, ~ (g(s(s(c5)), c2) = c3) | ~ (g(s(c5), c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1943', '1944'])). 318.63/46.69 tff('1946', plain, (g(s(s(c5)), c2) = c3) <= ((g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['522'])). 318.63/46.69 tff('1947', plain, (g(s(s(c5)), c2) = c2) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1088'])). 318.63/46.69 tff('1948', plain, 318.63/46.69 (c3 = c2) <= ((g(s(s(c5)), c3) = c4) & (g(s(s(c5)), c2) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1946', '1947'])). 318.63/46.69 tff('1949', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1950', plain, ~ (g(s(s(c5)), c2) = c3) | ~ (g(s(s(c5)), c3) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1948', '1949'])). 318.63/46.69 tff('1951', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1952', plain, (g(c8, s(s(c5))) = c3) <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('split', [status(esa)], ['647'])). 318.63/46.69 tff('1953', plain, ![X0]: (g(c8, X0) != c3 | g(s(s(c5)), X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['71', '72'])). 318.63/46.69 tff('1954', plain, 318.63/46.69 ((c3 != c3 | g(s(s(c5)), s(s(c5))) = c1)) <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['1952', '1953'])). 318.63/46.69 tff('1955', plain, (g(s(s(c5)), s(s(c5))) = c1) <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1954'])). 318.63/46.69 tff('1956', plain, 318.63/46.69 ((c3 = c1 318.63/46.69 | g(s(c5), s(s(c5))) = c3 318.63/46.69 | g(s(c5), s(s(c5))) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c2)) <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1951', '1955'])). 318.63/46.69 tff('1957', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('1958', plain, 318.63/46.69 ((g(s(c5), s(s(c5))) = c3 318.63/46.69 | g(s(c5), s(s(c5))) = c5 318.63/46.69 | g(s(c5), s(s(c5))) = c4 318.63/46.69 | g(s(c5), s(s(c5))) = c2)) <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1956', '1957'])). 318.63/46.69 tff('1959', plain, 318.63/46.69 ~ (g(c8, s(s(c5))) = c3) | (g(s(c5), s(s(c5))) = c3) | 318.63/46.69 (g(s(c5), s(s(c5))) = c5) | (g(s(c5), s(s(c5))) = c4) | 318.63/46.69 (g(s(c5), s(s(c5))) = c2), inference('split', [status(esa)], ['1958'])). 318.63/46.69 tff('1960', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1961', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['974'])). 318.63/46.69 tff('1962', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(s(c5), c5) = c3 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c2)) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1960', '1961'])). 318.63/46.69 tff('1963', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1964', plain, 318.63/46.69 ((g(s(c5), c5) = c3 318.63/46.69 | g(s(c5), c5) = c5 318.63/46.69 | g(s(c5), c5) = c4 318.63/46.69 | g(s(c5), c5) = c2)) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1962', '1963'])). 318.63/46.69 tff('1965', plain, 318.63/46.69 (g(s(c5), c5) = c4) | ~ (g(s(s(c5)), s(c5)) = c4) | 318.63/46.69 (g(s(c5), c5) = c5) | (g(s(c5), c5) = c3) | (g(s(c5), c5) = c2), 318.63/46.69 inference('split', [status(esa)], ['1964'])). 318.63/46.69 tff('1966', plain, (g(s(c5), s(c5)) = c2) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1360'])). 318.63/46.69 tff('1967', plain, (g(s(c5), s(c5)) = c4) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1396'])). 318.63/46.69 tff('1968', plain, 318.63/46.69 (c2 = c4) <= ((g(s(c5), s(s(c5))) = c4) & (g(s(c5), c5) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1966', '1967'])). 318.63/46.69 tff('1969', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('1970', plain, ~ (g(s(c5), c5) = c2) | ~ (g(s(c5), s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1968', '1969'])). 318.63/46.69 tff('1971', plain, (g(s(c5), s(s(c5))) = c4) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.69 inference('split', [status(esa)], ['226'])). 318.63/46.69 tff('1972', plain, (g(s(c5), s(s(c5))) = c3) <= ((g(s(c5), s(s(c5))) = c3)), 318.63/46.69 inference('split', [status(esa)], ['226'])). 318.63/46.69 tff('1973', plain, 318.63/46.69 (c4 = c3) <= ((g(s(c5), s(s(c5))) = c4) & (g(s(c5), s(s(c5))) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['1971', '1972'])). 318.63/46.69 tff('1974', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('1975', plain, ~ (g(s(c5), s(s(c5))) = c3) | ~ (g(s(c5), s(s(c5))) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1973', '1974'])). 318.63/46.69 tff('1976', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('1977', plain, (g(s(c5), c4) = c2) <= ((g(s(c5), c5) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['588'])). 318.63/46.69 tff('1978', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c5, c4) = c3 318.63/46.69 | g(c5, c4) = c5 318.63/46.69 | g(c5, c4) = c4 318.63/46.69 | g(c5, c4) = c2)) <= ((g(s(c5), c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['1976', '1977'])). 318.63/46.69 tff('1979', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('1980', plain, 318.63/46.69 ((g(c5, c4) = c3 | g(c5, c4) = c5 | g(c5, c4) = c4 | g(c5, c4) = c2)) 318.63/46.69 <= ((g(s(c5), c5) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1978', '1979'])). 318.63/46.69 tff('1981', plain, 318.63/46.69 (g(c5, c4) = c5) | (g(c5, c4) = c4) | (g(c5, c4) = c2) | 318.63/46.69 (g(c5, c4) = c3) | ~ (g(s(c5), c5) = c4), 318.63/46.69 inference('split', [status(esa)], ['1980'])). 318.63/46.69 tff('1982', plain, (g(c5, c3) = c1) <= ((g(s(c5), c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1889'])). 318.63/46.69 tff('1983', plain, (g(c5, c3) = c4) <= ((g(c5, c2) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1160'])). 318.63/46.69 tff('1984', plain, (c1 = c4) <= ((g(s(c5), c3) = c3) & (g(c5, c2) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['1982', '1983'])). 318.63/46.69 tff('1985', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('1986', plain, ~ (g(c5, c2) = c2) | ~ (g(s(c5), c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['1984', '1985'])). 318.63/46.69 tff('1987', plain, (g(c8, s(s(c5))) = c2) <= ((g(c8, s(s(c5))) = c2)), 318.63/46.69 inference('split', [status(esa)], ['118'])). 318.63/46.69 tff('1988', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1989', plain, 318.63/46.69 ((c2 != c5 | zip_tseitin_2(s(s(c5)), c8))) <= ((g(c8, s(s(c5))) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['1987', '1988'])). 318.63/46.69 tff('1990', plain, 318.63/46.69 ( zip_tseitin_2(s(s(c5)), c8)) <= (( zip_tseitin_2(s(s(c5)), c8))), 318.63/46.69 inference('split', [status(esa)], ['1989'])). 318.63/46.69 tff('1991', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('1992', plain, 318.63/46.69 (( zip_tseitin_1(s(s(c5)), c8) | zip_tseitin_0(s(s(c5)), c8))) 318.63/46.69 <= (( zip_tseitin_2(s(s(c5)), c8))), 318.63/46.69 inference('sup-', [status(thm)], ['1990', '1991'])). 318.63/46.69 tff('1993', plain, 318.63/46.69 ( zip_tseitin_1(s(s(c5)), c8)) <= (( zip_tseitin_1(s(s(c5)), c8))), 318.63/46.69 inference('split', [status(esa)], ['1992'])). 318.63/46.69 tff('1994', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('1995', plain, (s(s(c5)) = c8) <= (( zip_tseitin_1(s(s(c5)), c8))), 318.63/46.69 inference('sup-', [status(thm)], ['1993', '1994'])). 318.63/46.69 tff('1996', plain, s(s(s(c5))) = c8, 318.63/46.69 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.69 tff('1997', plain, (s(c8) = c8) <= (( zip_tseitin_1(s(s(c5)), c8))), 318.63/46.69 inference('sup+', [status(thm)], ['1995', '1996'])). 318.63/46.69 tff('1998', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('1999', plain, (s(s(s(c8))) != c8) <= (( zip_tseitin_1(s(s(c5)), c8))), 318.63/46.69 inference('sup-', [status(thm)], ['1997', '1998'])). 318.63/46.69 tff('2000', plain, (s(c8) = c8) <= (( zip_tseitin_1(s(s(c5)), c8))), 318.63/46.69 inference('sup+', [status(thm)], ['1995', '1996'])). 318.63/46.69 tff('2001', plain, (s(c8) = c8) <= (( zip_tseitin_1(s(s(c5)), c8))), 318.63/46.69 inference('sup+', [status(thm)], ['1995', '1996'])). 318.63/46.69 tff('2002', plain, (s(c8) = c8) <= (( zip_tseitin_1(s(s(c5)), c8))), 318.63/46.69 inference('sup+', [status(thm)], ['1995', '1996'])). 318.63/46.69 tff('2003', plain, (c8 != c8) <= (( zip_tseitin_1(s(s(c5)), c8))), 318.63/46.69 inference('demod', [status(thm)], ['1999', '2000', '2001', '2002'])). 318.63/46.69 tff('2004', plain, ~ ( zip_tseitin_1(s(s(c5)), c8)), 318.63/46.69 inference('simplify', [status(thm)], ['2003'])). 318.63/46.69 tff('2005', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2006', plain, 318.63/46.69 ( zip_tseitin_0(s(s(c5)), c8)) <= (( zip_tseitin_0(s(s(c5)), c8))), 318.63/46.69 inference('split', [status(esa)], ['1992'])). 318.63/46.69 tff('2007', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('2008', plain, (c8 = c1) <= (( zip_tseitin_0(s(s(c5)), c8))), 318.63/46.69 inference('sup-', [status(thm)], ['2006', '2007'])). 318.63/46.69 tff('2009', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2010', plain, (c1 = s(c1)) <= (( zip_tseitin_0(s(s(c5)), c8))), 318.63/46.69 inference('sup+', [status(thm)], ['2008', '2009'])). 318.63/46.69 tff('2011', plain, (c1 = c2) <= (( zip_tseitin_0(s(s(c5)), c8))), 318.63/46.69 inference('sup+', [status(thm)], ['2005', '2010'])). 318.63/46.69 tff('2012', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2013', plain, ~ ( zip_tseitin_0(s(s(c5)), c8)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2011', '2012'])). 318.63/46.69 tff('2014', plain, (g(c8, s(s(c5))) = c5) <= ((g(c8, s(s(c5))) = c5)), 318.63/46.69 inference('split', [status(esa)], ['647'])). 318.63/46.69 tff('2015', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2016', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(s(s(c5)), c8))) <= ((g(c8, s(s(c5))) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['2014', '2015'])). 318.63/46.69 tff('2017', plain, 318.63/46.69 ( zip_tseitin_2(s(s(c5)), c8)) <= ((g(c8, s(s(c5))) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['2016'])). 318.63/46.69 tff('2018', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('2019', plain, 318.63/46.69 (( zip_tseitin_1(s(s(c5)), c8) | zip_tseitin_0(s(s(c5)), c8))) 318.63/46.69 <= ((g(c8, s(s(c5))) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['2017', '2018'])). 318.63/46.69 tff('2020', plain, 318.63/46.69 ( zip_tseitin_0(s(s(c5)), c8)) | ( zip_tseitin_1(s(s(c5)), c8)) | 318.63/46.69 ~ (g(c8, s(s(c5))) = c5), inference('split', [status(esa)], ['2019'])). 318.63/46.69 tff('2021', plain, (g(s(c5), s(c5)) = c1) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['252'])). 318.63/46.69 tff('2022', plain, (g(s(c5), s(c5)) = c4) <= ((g(s(c5), c5) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1396'])). 318.63/46.69 tff('2023', plain, 318.63/46.69 (c1 = c4) <= ((g(s(s(c5)), s(c5)) = c3) & (g(s(c5), c5) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['2021', '2022'])). 318.63/46.69 tff('2024', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('2025', plain, ~ (g(s(c5), c5) = c2) | ~ (g(s(s(c5)), s(c5)) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2023', '2024'])). 318.63/46.69 tff('2026', plain, (g(s(s(c5)), c5) = c4) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['331'])). 318.63/46.69 tff('2027', plain, (g(s(s(c5)), c5) = c2) <= ((g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['974'])). 318.63/46.69 tff('2028', plain, 318.63/46.69 (c4 = c2) <= ((g(s(s(c5)), c5) = c4) & (g(s(s(c5)), s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2026', '2027'])). 318.63/46.69 tff('2029', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('2030', plain, ~ (g(s(s(c5)), c5) = c4) | ~ (g(s(s(c5)), s(c5)) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2028', '2029'])). 318.63/46.69 tff('2031', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, s(X0)) = c4 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['641'])). 318.63/46.69 tff('2032', plain, (g(c8, s(c5)) = c3) <= ((g(c8, s(c5)) = c3)), 318.63/46.69 inference('split', [status(esa)], ['249'])). 318.63/46.69 tff('2033', plain, 318.63/46.69 ((c4 = c3 | g(c8, c5) = c3 | g(c8, c5) = c5 | g(c8, c5) = c4)) 318.63/46.69 <= ((g(c8, s(c5)) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2031', '2032'])). 318.63/46.69 tff('2034', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('2035', plain, 318.63/46.69 ((g(c8, c5) = c3 | g(c8, c5) = c5 | g(c8, c5) = c4)) 318.63/46.69 <= ((g(c8, s(c5)) = c3)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2033', '2034'])). 318.63/46.69 tff('2036', plain, 318.63/46.69 (g(c8, c5) = c5) | (g(c8, c5) = c3) | (g(c8, c5) = c4) | 318.63/46.69 ~ (g(c8, s(c5)) = c3), inference('split', [status(esa)], ['2035'])). 318.63/46.69 tff('2037', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(s(s(c5)), s(X0)) = c4 318.63/46.69 | g(c8, X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c3 318.63/46.69 | g(s(s(c5)), X0) = c5 318.63/46.69 | g(s(s(c5)), X0) = c4), 318.63/46.69 inference('simplify', [status(thm)], ['245'])). 318.63/46.69 tff('2038', plain, (g(s(s(c5)), s(s(c5))) = c1) <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1954'])). 318.63/46.69 tff('2039', plain, 318.63/46.69 ((c4 = c1 318.63/46.69 | g(s(s(c5)), s(c5)) = c4 318.63/46.69 | g(s(s(c5)), s(c5)) = c5 318.63/46.69 | g(s(s(c5)), s(c5)) = c3 318.63/46.69 | g(c8, s(c5)) = c3)) <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2037', '2038'])). 318.63/46.69 tff('2040', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('2041', plain, 318.63/46.69 ((g(s(s(c5)), s(c5)) = c4 318.63/46.69 | g(s(s(c5)), s(c5)) = c5 318.63/46.69 | g(s(s(c5)), s(c5)) = c3 318.63/46.69 | g(c8, s(c5)) = c3)) <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2039', '2040'])). 318.63/46.69 tff('2042', plain, 318.63/46.69 ~ (g(c8, s(s(c5))) = c3) | (g(s(s(c5)), s(c5)) = c3) | 318.63/46.69 (g(c8, s(c5)) = c3) | (g(s(s(c5)), s(c5)) = c5) | 318.63/46.69 (g(s(s(c5)), s(c5)) = c4), inference('split', [status(esa)], ['2041'])). 318.63/46.69 tff('2043', plain, 318.63/46.69 (g(c8, s(s(c5))) = c4) | (g(c8, s(s(c5))) = c3) | (g(c8, s(s(c5))) = c5), 318.63/46.69 inference('split', [status(esa)], ['647'])). 318.63/46.69 tff('2044', plain, (g(c4, c3) = c2) <= ((g(c4, c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1876'])). 318.63/46.69 tff('2045', plain, (g(c4, c3) = c1) <= ((g(c5, c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1076'])). 318.63/46.69 tff('2046', plain, (c2 = c1) <= ((g(c4, c4) = c4) & (g(c5, c3) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2044', '2045'])). 318.63/46.69 tff('2047', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2048', plain, ~ (g(c5, c3) = c3) | ~ (g(c4, c4) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2046', '2047'])). 318.63/46.69 tff('2049', plain, (g(c4, c3) = c4) <= ((g(c4, c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('2050', plain, ![X0]: (g(X0, c3) != c4 | g(X0, c2) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['260', '261'])). 318.63/46.69 tff('2051', plain, ((c4 != c4 | g(c4, c2) = c2)) <= ((g(c4, c3) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['2049', '2050'])). 318.63/46.69 tff('2052', plain, (g(c4, c2) = c2) <= ((g(c4, c3) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['2051'])). 318.63/46.69 tff('2053', plain, (g(c4, c2) = c1) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1795'])). 318.63/46.69 tff('2054', plain, (c2 = c1) <= ((g(c4, c3) = c4) & (g(c5, c2) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2052', '2053'])). 318.63/46.69 tff('2055', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2056', plain, ~ (g(c4, c3) = c4) | ~ (g(c5, c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2054', '2055'])). 318.63/46.69 tff('2057', plain, (g(c4, c2) = c3) <= ((g(c4, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('2058', plain, (g(c4, c2) = c1) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1795'])). 318.63/46.69 tff('2059', plain, (c3 = c1) <= ((g(c5, c2) = c3) & (g(c4, c2) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2057', '2058'])). 318.63/46.69 tff('2060', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('2061', plain, ~ (g(c4, c2) = c3) | ~ (g(c5, c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2059', '2060'])). 318.63/46.69 tff('2062', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('2063', plain, (g(s(s(c5)), c3) = c4) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['554'])). 318.63/46.69 tff('2064', plain, 318.63/46.69 ((c3 = c4 318.63/46.69 | g(s(c5), c3) = c3 318.63/46.69 | g(s(c5), c3) = c5 318.63/46.69 | g(s(c5), c3) = c4 318.63/46.69 | g(s(c5), c3) = c2)) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2062', '2063'])). 318.63/46.69 tff('2065', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('2066', plain, 318.63/46.69 ((g(s(c5), c3) = c3 318.63/46.69 | g(s(c5), c3) = c5 318.63/46.69 | g(s(c5), c3) = c4 318.63/46.69 | g(s(c5), c3) = c2)) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2064', '2065'])). 318.63/46.69 tff('2067', plain, 318.63/46.69 ~ (g(s(s(c5)), c3) = c4) | (g(s(c5), c3) = c3) | (g(s(c5), c3) = c4) | 318.63/46.69 (g(s(c5), c3) = c2) | (g(s(c5), c3) = c5), 318.63/46.69 inference('split', [status(esa)], ['2066'])). 318.63/46.69 tff('2068', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('2069', plain, (g(s(s(c5)), c4) = c3) <= ((g(s(s(c5)), c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['287'])). 318.63/46.69 tff('2070', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2071', plain, 318.63/46.69 ((c3 != c3 | g(s(c5), c4) = c1)) <= ((g(s(s(c5)), c4) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['2069', '2070'])). 318.63/46.69 tff('2072', plain, (g(s(c5), c4) = c1) <= ((g(s(s(c5)), c4) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['2071'])). 318.63/46.69 tff('2073', plain, 318.63/46.69 ((c3 = c1 318.63/46.69 | g(c5, c4) = c3 318.63/46.69 | g(c5, c4) = c5 318.63/46.69 | g(c5, c4) = c4 318.63/46.69 | g(c5, c4) = c2)) <= ((g(s(s(c5)), c4) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2068', '2072'])). 318.63/46.69 tff('2074', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('2075', plain, 318.63/46.69 ((g(c5, c4) = c3 | g(c5, c4) = c5 | g(c5, c4) = c4 | g(c5, c4) = c2)) 318.63/46.69 <= ((g(s(s(c5)), c4) = c3)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2073', '2074'])). 318.63/46.69 tff('2076', plain, 318.63/46.69 (g(c5, c4) = c2) | ~ (g(s(s(c5)), c4) = c3) | (g(c5, c4) = c4) | 318.63/46.69 (g(c5, c4) = c3) | (g(c5, c4) = c5), 318.63/46.69 inference('split', [status(esa)], ['2075'])). 318.63/46.69 tff('2077', plain, (g(c5, c4) = c3) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('2078', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2079', plain, 318.63/46.69 ((c3 != c5 | zip_tseitin_2(c4, c5))) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['2077', '2078'])). 318.63/46.69 tff('2080', plain, ( zip_tseitin_2(c4, c5)) <= (( zip_tseitin_2(c4, c5))), 318.63/46.69 inference('split', [status(esa)], ['2079'])). 318.63/46.69 tff('2081', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('2082', plain, 318.63/46.69 (( zip_tseitin_1(c4, c5) | zip_tseitin_0(c4, c5))) 318.63/46.69 <= (( zip_tseitin_2(c4, c5))), 318.63/46.69 inference('sup-', [status(thm)], ['2080', '2081'])). 318.63/46.69 tff('2083', plain, ( zip_tseitin_1(c4, c5)) <= (( zip_tseitin_1(c4, c5))), 318.63/46.69 inference('split', [status(esa)], ['2082'])). 318.63/46.69 tff('2084', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('2085', plain, (c4 = c8) <= (( zip_tseitin_1(c4, c5))), 318.63/46.69 inference('sup-', [status(thm)], ['2083', '2084'])). 318.63/46.69 tff('2086', plain, c8 != c4, 318.63/46.69 inference('demod', [status(thm)], ['681', '682'])). 318.63/46.69 tff('2087', plain, ~ ( zip_tseitin_1(c4, c5)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2085', '2086'])). 318.63/46.69 tff('2088', plain, ( zip_tseitin_0(c4, c5)) <= (( zip_tseitin_0(c4, c5))), 318.63/46.69 inference('split', [status(esa)], ['2082'])). 318.63/46.69 tff('2089', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('2090', plain, (c4 = c1) <= (( zip_tseitin_0(c4, c5))), 318.63/46.69 inference('sup-', [status(thm)], ['2088', '2089'])). 318.63/46.69 tff('2091', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('2092', plain, ~ ( zip_tseitin_0(c4, c5)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2090', '2091'])). 318.63/46.69 tff('2093', plain, (g(c5, c4) = c5) <= ((g(c5, c4) = c5)), 318.63/46.69 inference('split', [status(esa)], ['608'])). 318.63/46.69 tff('2094', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2095', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c4, c5))) <= ((g(c5, c4) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['2093', '2094'])). 318.63/46.69 tff('2096', plain, ( zip_tseitin_2(c4, c5)) <= ((g(c5, c4) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['2095'])). 318.63/46.69 tff('2097', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('2098', plain, 318.63/46.69 (( zip_tseitin_1(c4, c5) | zip_tseitin_0(c4, c5))) <= ((g(c5, c4) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['2096', '2097'])). 318.63/46.69 tff('2099', plain, 318.63/46.69 ( zip_tseitin_0(c4, c5)) | ( zip_tseitin_1(c4, c5)) | ~ (g(c5, c4) = c5), 318.63/46.69 inference('split', [status(esa)], ['2098'])). 318.63/46.69 tff('2100', plain, (g(s(s(c5)), c3) = c4) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['554'])). 318.63/46.69 tff('2101', plain, (g(s(s(c5)), c4) = c4) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['287'])). 318.63/46.69 tff('2102', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('2103', plain, 318.63/46.69 ((c4 != c4 | g(s(s(c5)), c3) = c2)) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['2101', '2102'])). 318.63/46.69 tff('2104', plain, (g(s(s(c5)), c3) = c2) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['2103'])). 318.63/46.69 tff('2105', plain, 318.63/46.69 (c4 = c2) <= ((g(s(s(c5)), c4) = c4) & (g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2100', '2104'])). 318.63/46.69 tff('2106', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('2107', plain, ~ (g(s(s(c5)), c4) = c4) | ~ (g(s(s(c5)), c3) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2105', '2106'])). 318.63/46.69 tff('2108', plain, (g(s(s(c5)), c3) = c4) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['554'])). 318.63/46.69 tff('2109', plain, (g(s(s(c5)), c3) = c1) <= ((g(c8, c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1742'])). 318.63/46.69 tff('2110', plain, (c4 = c1) <= ((g(c8, c3) = c3) & (g(s(s(c5)), c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2108', '2109'])). 318.63/46.69 tff('2111', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('2112', plain, ~ (g(c8, c3) = c3) | ~ (g(s(s(c5)), c3) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2110', '2111'])). 318.63/46.69 tff('2113', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('2114', plain, (g(s(s(c5)), c1) = c1) <= ((g(c8, c1) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1604'])). 318.63/46.69 tff('2115', plain, 318.63/46.69 ((c3 = c1 318.63/46.69 | g(s(c5), c1) = c3 318.63/46.69 | g(s(c5), c1) = c5 318.63/46.69 | g(s(c5), c1) = c4 318.63/46.69 | g(s(c5), c1) = c2)) <= ((g(c8, c1) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2113', '2114'])). 318.63/46.69 tff('2116', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2117', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('2118', plain, 318.63/46.69 ((g(s(c5), c1) = c3 | g(s(c5), c1) = c5 | g(s(c5), c1) = c2)) 318.63/46.69 <= ((g(c8, c1) = c3)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2115', '2116', '2117'])). 318.63/46.69 tff('2119', plain, 318.63/46.69 ~ (g(c8, c1) = c3) | (g(s(c5), c1) = c2) | (g(s(c5), c1) = c5) | 318.63/46.69 (g(s(c5), c1) = c3), inference('split', [status(esa)], ['2118'])). 318.63/46.69 tff('2120', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('2121', plain, (g(s(s(c5)), c1) = c2) <= ((g(s(s(c5)), c2) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1608'])). 318.63/46.69 tff('2122', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(s(c5), c1) = c3 318.63/46.69 | g(s(c5), c1) = c5 318.63/46.69 | g(s(c5), c1) = c4 318.63/46.69 | g(s(c5), c1) = c2)) <= ((g(s(s(c5)), c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2120', '2121'])). 318.63/46.69 tff('2123', plain, ![X10]: g(X10, c1) != c4, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2124', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('2125', plain, 318.63/46.69 ((g(s(c5), c1) = c3 | g(s(c5), c1) = c5 | g(s(c5), c1) = c2)) 318.63/46.69 <= ((g(s(s(c5)), c2) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2122', '2123', '2124'])). 318.63/46.69 tff('2126', plain, 318.63/46.69 ~ (g(s(s(c5)), c2) = c4) | (g(s(c5), c1) = c2) | (g(s(c5), c1) = c5) | 318.63/46.69 (g(s(c5), c1) = c3), inference('split', [status(esa)], ['2125'])). 318.63/46.69 tff('2127', plain, (g(c8, c2) = c4) <= ((g(c8, c2) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1102'])). 318.63/46.69 tff('2128', plain, (g(c8, c2) = c3) <= ((g(c8, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['1102'])). 318.63/46.69 tff('2129', plain, (c4 = c3) <= ((g(c8, c2) = c4) & (g(c8, c2) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2127', '2128'])). 318.63/46.69 tff('2130', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('2131', plain, ~ (g(c8, c2) = c3) | ~ (g(c8, c2) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2129', '2130'])). 318.63/46.69 tff('2132', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2133', plain, (g(s(c5), c1) = c3) <= ((g(s(c5), c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['517'])). 318.63/46.69 tff('2134', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2135', plain, 318.63/46.69 ((c3 != c5 | zip_tseitin_2(c1, s(c5)))) <= ((g(s(c5), c1) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['2133', '2134'])). 318.63/46.69 tff('2136', plain, 318.63/46.69 ( zip_tseitin_2(c1, s(c5))) <= (( zip_tseitin_2(c1, s(c5)))), 318.63/46.69 inference('split', [status(esa)], ['2135'])). 318.63/46.69 tff('2137', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('2138', plain, 318.63/46.69 (( zip_tseitin_1(c1, s(c5)) | zip_tseitin_0(c1, s(c5)))) 318.63/46.69 <= (( zip_tseitin_2(c1, s(c5)))), 318.63/46.69 inference('sup-', [status(thm)], ['2136', '2137'])). 318.63/46.69 tff('2139', plain, 318.63/46.69 ( zip_tseitin_1(c1, s(c5))) <= (( zip_tseitin_1(c1, s(c5)))), 318.63/46.69 inference('split', [status(esa)], ['2138'])). 318.63/46.69 tff('2140', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('2141', plain, (c1 = c8) <= (( zip_tseitin_1(c1, s(c5)))), 318.63/46.69 inference('sup-', [status(thm)], ['2139', '2140'])). 318.63/46.69 tff('2142', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2143', plain, (c1 = s(c1)) <= (( zip_tseitin_1(c1, s(c5)))), 318.63/46.69 inference('sup+', [status(thm)], ['2141', '2142'])). 318.63/46.69 tff('2144', plain, (c1 = c2) <= (( zip_tseitin_1(c1, s(c5)))), 318.63/46.69 inference('sup+', [status(thm)], ['2132', '2143'])). 318.63/46.69 tff('2145', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2146', plain, ~ ( zip_tseitin_1(c1, s(c5))), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2144', '2145'])). 318.63/46.69 tff('2147', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2148', plain, 318.63/46.69 ( zip_tseitin_0(c1, s(c5))) <= (( zip_tseitin_0(c1, s(c5)))), 318.63/46.69 inference('split', [status(esa)], ['2138'])). 318.63/46.69 tff('2149', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('2150', plain, (s(c5) = c1) <= (( zip_tseitin_0(c1, s(c5)))), 318.63/46.69 inference('sup-', [status(thm)], ['2148', '2149'])). 318.63/46.69 tff('2151', plain, s(s(s(c5))) = c8, 318.63/46.69 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.69 tff('2152', plain, (s(s(c1)) = c8) <= (( zip_tseitin_0(c1, s(c5)))), 318.63/46.69 inference('sup+', [status(thm)], ['2150', '2151'])). 318.63/46.69 tff('2153', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2154', plain, (s(c2) = c8) <= (( zip_tseitin_0(c1, s(c5)))), 318.63/46.69 inference('demod', [status(thm)], ['2152', '2153'])). 318.63/46.69 tff('2155', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2156', plain, (c3 = c8) <= (( zip_tseitin_0(c1, s(c5)))), 318.63/46.69 inference('sup+', [status(thm)], ['2154', '2155'])). 318.63/46.69 tff('2157', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2158', plain, (c1 = s(c3)) <= (( zip_tseitin_0(c1, s(c5)))), 318.63/46.69 inference('sup+', [status(thm)], ['2156', '2157'])). 318.63/46.69 tff('2159', plain, (c1 = c4) <= (( zip_tseitin_0(c1, s(c5)))), 318.63/46.69 inference('sup+', [status(thm)], ['2147', '2158'])). 318.63/46.69 tff('2160', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('2161', plain, ~ ( zip_tseitin_0(c1, s(c5))), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2159', '2160'])). 318.63/46.69 tff('2162', plain, (g(s(c5), c1) = c5) <= ((g(s(c5), c1) = c5)), 318.63/46.69 inference('split', [status(esa)], ['527'])). 318.63/46.69 tff('2163', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2164', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c1, s(c5)))) <= ((g(s(c5), c1) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['2162', '2163'])). 318.63/46.69 tff('2165', plain, ( zip_tseitin_2(c1, s(c5))) <= ((g(s(c5), c1) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['2164'])). 318.63/46.69 tff('2166', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('2167', plain, 318.63/46.69 (( zip_tseitin_1(c1, s(c5)) | zip_tseitin_0(c1, s(c5)))) 318.63/46.69 <= ((g(s(c5), c1) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['2165', '2166'])). 318.63/46.69 tff('2168', plain, 318.63/46.69 ~ (g(s(c5), c1) = c5) | ( zip_tseitin_0(c1, s(c5))) | 318.63/46.69 ( zip_tseitin_1(c1, s(c5))), inference('split', [status(esa)], ['2167'])). 318.63/46.69 tff('2169', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('2170', plain, (g(s(c5), c2) = c4) <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1644'])). 318.63/46.69 tff('2171', plain, 318.63/46.69 ((c3 = c4 318.63/46.69 | g(c5, c2) = c3 318.63/46.69 | g(c5, c2) = c5 318.63/46.69 | g(c5, c2) = c4 318.63/46.69 | g(c5, c2) = c2)) <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['2169', '2170'])). 318.63/46.69 tff('2172', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('2173', plain, 318.63/46.69 ((g(c5, c2) = c3 | g(c5, c2) = c5 | g(c5, c2) = c4 | g(c5, c2) = c2)) 318.63/46.69 <= ((g(s(c5), c1) = c2)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2171', '2172'])). 318.63/46.69 tff('2174', plain, 318.63/46.69 (g(c5, c2) = c5) | (g(c5, c2) = c4) | (g(c5, c2) = c2) | 318.63/46.69 (g(c5, c2) = c3) | ~ (g(s(c5), c1) = c2), 318.63/46.69 inference('split', [status(esa)], ['2173'])). 318.63/46.69 tff('2175', plain, (g(c5, c2) = c3) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['272'])). 318.63/46.69 tff('2176', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2177', plain, 318.63/46.69 ((c3 != c5 | zip_tseitin_2(c2, c5))) <= ((g(c5, c2) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['2175', '2176'])). 318.63/46.69 tff('2178', plain, ( zip_tseitin_2(c2, c5)) <= (( zip_tseitin_2(c2, c5))), 318.63/46.69 inference('split', [status(esa)], ['2177'])). 318.63/46.69 tff('2179', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('2180', plain, 318.63/46.69 (( zip_tseitin_1(c2, c5) | zip_tseitin_0(c2, c5))) 318.63/46.69 <= (( zip_tseitin_2(c2, c5))), 318.63/46.69 inference('sup-', [status(thm)], ['2178', '2179'])). 318.63/46.69 tff('2181', plain, ( zip_tseitin_1(c2, c5)) <= (( zip_tseitin_1(c2, c5))), 318.63/46.69 inference('split', [status(esa)], ['2180'])). 318.63/46.69 tff('2182', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('2183', plain, (c5 = c8) <= (( zip_tseitin_1(c2, c5))), 318.63/46.69 inference('sup-', [status(thm)], ['2181', '2182'])). 318.63/46.69 tff('2184', plain, ( zip_tseitin_1(c2, c5)) <= (( zip_tseitin_1(c2, c5))), 318.63/46.69 inference('split', [status(esa)], ['2180'])). 318.63/46.69 tff('2185', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('2186', plain, (c2 = c8) <= (( zip_tseitin_1(c2, c5))), 318.63/46.69 inference('sup-', [status(thm)], ['2184', '2185'])). 318.63/46.69 tff('2187', plain, (c2 = c5) <= (( zip_tseitin_1(c2, c5))), 318.63/46.69 inference('sup+', [status(thm)], ['2183', '2186'])). 318.63/46.69 tff('2188', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.69 tff('2189', plain, ~ ( zip_tseitin_1(c2, c5)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2187', '2188'])). 318.63/46.69 tff('2190', plain, ( zip_tseitin_0(c2, c5)) <= (( zip_tseitin_0(c2, c5))), 318.63/46.69 inference('split', [status(esa)], ['2180'])). 318.63/46.69 tff('2191', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('2192', plain, (c2 = c1) <= (( zip_tseitin_0(c2, c5))), 318.63/46.69 inference('sup-', [status(thm)], ['2190', '2191'])). 318.63/46.69 tff('2193', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2194', plain, ~ ( zip_tseitin_0(c2, c5)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2192', '2193'])). 318.63/46.69 tff('2195', plain, (g(c8, c5) = c4) <= ((g(c8, c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['633'])). 318.63/46.69 tff('2196', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2197', plain, 318.63/46.69 ((c4 != c5 | zip_tseitin_2(c5, c8))) <= ((g(c8, c5) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['2195', '2196'])). 318.63/46.69 tff('2198', plain, ( zip_tseitin_2(c5, c8)) <= (( zip_tseitin_2(c5, c8))), 318.63/46.69 inference('split', [status(esa)], ['2197'])). 318.63/46.69 tff('2199', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('2200', plain, 318.63/46.69 (( zip_tseitin_1(c5, c8) | zip_tseitin_0(c5, c8))) 318.63/46.69 <= (( zip_tseitin_2(c5, c8))), 318.63/46.69 inference('sup-', [status(thm)], ['2198', '2199'])). 318.63/46.69 tff('2201', plain, ( zip_tseitin_1(c5, c8)) <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('split', [status(esa)], ['2200'])). 318.63/46.69 tff('2202', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('2203', plain, (c5 = c8) <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('sup-', [status(thm)], ['2201', '2202'])). 318.63/46.69 tff('2204', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2205', plain, (c1 = s(c5)) <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('sup+', [status(thm)], ['2203', '2204'])). 318.63/46.69 tff('2206', plain, s(s(s(c5))) = c8, 318.63/46.69 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.69 tff('2207', plain, (s(s(c1)) = c8) <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('sup+', [status(thm)], ['2205', '2206'])). 318.63/46.69 tff('2208', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2209', plain, (c5 = c8) <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('sup-', [status(thm)], ['2201', '2202'])). 318.63/46.69 tff('2210', plain, (s(c2) = c5) <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('demod', [status(thm)], ['2207', '2208', '2209'])). 318.63/46.69 tff('2211', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c8, s(X0)) = c4 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['641'])). 318.63/46.69 tff('2212', plain, 318.63/46.69 ((g(c8, c5) = c4 | g(c8, c2) = c3 | g(c8, c2) = c5 | g(c8, c2) = c4)) 318.63/46.69 <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('sup+', [status(thm)], ['2210', '2211'])). 318.63/46.69 tff('2213', plain, (c5 = c8) <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('sup-', [status(thm)], ['2201', '2202'])). 318.63/46.69 tff('2214', plain, (c5 = c8) <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('sup-', [status(thm)], ['2201', '2202'])). 318.63/46.69 tff('2215', plain, (c5 = c8) <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('sup-', [status(thm)], ['2201', '2202'])). 318.63/46.69 tff('2216', plain, (c5 = c8) <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('sup-', [status(thm)], ['2201', '2202'])). 318.63/46.69 tff('2217', plain, 318.63/46.69 ((g(c5, c5) = c4 | g(c5, c2) = c3 | g(c5, c2) = c5 | g(c5, c2) = c4)) 318.63/46.69 <= (( zip_tseitin_1(c5, c8))), 318.63/46.69 inference('demod', [status(thm)], 318.63/46.69 ['2212', '2213', '2214', '2215', '2216'])). 318.63/46.69 tff('2218', plain, (g(c5, c2) = c5) <= ((g(c5, c2) = c5)), 318.63/46.69 inference('split', [status(esa)], ['2217'])). 318.63/46.69 tff('2219', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2220', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c2, c5))) <= ((g(c5, c2) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['2218', '2219'])). 318.63/46.69 tff('2221', plain, ( zip_tseitin_2(c2, c5)) <= ((g(c5, c2) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['2220'])). 318.63/46.69 tff('2222', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('2223', plain, 318.63/46.69 (( zip_tseitin_1(c2, c5) | zip_tseitin_0(c2, c5))) <= ((g(c5, c2) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['2221', '2222'])). 318.63/46.69 tff('2224', plain, 318.63/46.69 ( zip_tseitin_0(c2, c5)) | ( zip_tseitin_1(c2, c5)) | ~ (g(c5, c2) = c5), 318.63/46.69 inference('split', [status(esa)], ['2223'])). 318.63/46.69 tff('2225', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 (g(s(X1), X0) = c3 318.63/46.69 | g(X1, X0) = c2 318.63/46.69 | g(X1, X0) = c4 318.63/46.69 | g(X1, X0) = c5 318.63/46.69 | g(X1, X0) = c3), 318.63/46.69 inference('simplify', [status(thm)], ['4'])). 318.63/46.69 tff('2226', plain, (g(s(c5), c2) = c2) <= ((g(s(c5), c3) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1651'])). 318.63/46.69 tff('2227', plain, 318.63/46.69 ((c3 = c2 318.63/46.69 | g(c5, c2) = c3 318.63/46.69 | g(c5, c2) = c5 318.63/46.69 | g(c5, c2) = c4 318.63/46.69 | g(c5, c2) = c2)) <= ((g(s(c5), c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2225', '2226'])). 318.63/46.69 tff('2228', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('2229', plain, 318.63/46.69 ((g(c5, c2) = c3 | g(c5, c2) = c5 | g(c5, c2) = c4 | g(c5, c2) = c2)) 318.63/46.69 <= ((g(s(c5), c3) = c4)), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2227', '2228'])). 318.63/46.69 tff('2230', plain, 318.63/46.69 (g(c5, c2) = c5) | (g(c5, c2) = c4) | (g(c5, c2) = c2) | 318.63/46.69 (g(c5, c2) = c3) | ~ (g(s(c5), c3) = c4), 318.63/46.69 inference('split', [status(esa)], ['2229'])). 318.63/46.69 tff('2231', plain, (g(c5, c3) = c1) <= ((g(s(c5), c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1889'])). 318.63/46.69 tff('2232', plain, (g(c5, c3) = c2) <= ((g(c5, c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1688'])). 318.63/46.69 tff('2233', plain, (c1 = c2) <= ((g(s(c5), c3) = c3) & (g(c5, c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2231', '2232'])). 318.63/46.69 tff('2234', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2235', plain, ~ (g(c5, c4) = c4) | ~ (g(s(c5), c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2233', '2234'])). 318.63/46.69 tff('2236', plain, (g(c5, c1) = c3) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['514'])). 318.63/46.69 tff('2237', plain, (g(c5, c1) = c2) <= ((g(c5, c2) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1806'])). 318.63/46.69 tff('2238', plain, (c3 = c2) <= ((g(c5, c1) = c3) & (g(c5, c2) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2236', '2237'])). 318.63/46.69 tff('2239', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('2240', plain, ~ (g(c5, c2) = c4) | ~ (g(c5, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2238', '2239'])). 318.63/46.69 tff('2241', plain, (g(c5, c1) = c3) <= ((g(c5, c1) = c3)), 318.63/46.69 inference('split', [status(esa)], ['514'])). 318.63/46.69 tff('2242', plain, (g(c5, c1) = c1) <= ((g(s(c5), c1) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1802'])). 318.63/46.69 tff('2243', plain, (c3 = c1) <= ((g(c5, c1) = c3) & (g(s(c5), c1) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2241', '2242'])). 318.63/46.69 tff('2244', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('2245', plain, ~ (g(s(c5), c1) = c3) | ~ (g(c5, c1) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2243', '2244'])). 318.63/46.69 tff('2246', plain, (g(c2, c3) = c3) <= ((g(c2, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['1115'])). 318.63/46.69 tff('2247', plain, ![X0]: (g(c2, X0) != c3 | g(c1, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['297', '298'])). 318.63/46.69 tff('2248', plain, ((c3 != c3 | g(c1, c3) = c1)) <= ((g(c2, c3) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['2246', '2247'])). 318.63/46.69 tff('2249', plain, (g(c1, c3) = c1) <= ((g(c2, c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['2248'])). 318.63/46.69 tff('2250', plain, (g(c1, c3) = c4) <= ((g(c1, c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['208'])). 318.63/46.69 tff('2251', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2252', plain, ((c4 != c2 | g(c1, s(c3)) = c4)) <= ((g(c1, c3) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['2250', '2251'])). 318.63/46.69 tff('2253', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2254', plain, ((c4 != c2 | g(c1, c4) = c4)) <= ((g(c1, c3) = c4)), 318.63/46.69 inference('demod', [status(thm)], ['2252', '2253'])). 318.63/46.69 tff('2255', plain, (g(c1, c4) = c4) <= ((g(c1, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['2254'])). 318.63/46.69 tff('2256', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('2257', plain, ((c4 != c4 | g(c1, c3) = c2)) <= ((g(c1, c4) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['2255', '2256'])). 318.63/46.69 tff('2258', plain, (g(c1, c3) = c2) <= ((g(c1, c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['2257'])). 318.63/46.69 tff('2259', plain, (c1 = c2) <= ((g(c2, c3) = c3) & (g(c1, c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2249', '2258'])). 318.63/46.69 tff('2260', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2261', plain, ~ (g(c2, c3) = c3) | ~ (g(c1, c4) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2259', '2260'])). 318.63/46.69 tff('2262', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c3, X0) = c3 318.63/46.69 | g(c2, X0) = c3 318.63/46.69 | g(c2, X0) = c5 318.63/46.69 | g(c2, X0) = c4 318.63/46.69 | g(c2, X0) = c2), 318.63/46.69 inference('sup+', [status(thm)], ['304', '305'])). 318.63/46.69 tff('2263', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.69 tff('2264', plain, 318.63/46.69 (c2 != c4 318.63/46.69 | g(c2, c4) = c4 318.63/46.69 | g(c2, c4) = c5 318.63/46.69 | g(c2, c4) = c3 318.63/46.69 | g(c3, c4) = c3 318.63/46.69 | g(c2, c3) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['2262', '2263'])). 318.63/46.69 tff('2265', plain, (g(c2, c4) = c4) <= ((g(c2, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['2264'])). 318.63/46.69 tff('2266', plain, (g(c3, c4) = c3) <= ((g(c3, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['934'])). 318.63/46.69 tff('2267', plain, ![X0]: (g(c3, X0) != c3 | g(c2, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['133', '134'])). 318.63/46.69 tff('2268', plain, ((c3 != c3 | g(c2, c4) = c1)) <= ((g(c3, c4) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['2266', '2267'])). 318.63/46.69 tff('2269', plain, (g(c2, c4) = c1) <= ((g(c3, c4) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['2268'])). 318.63/46.69 tff('2270', plain, (c4 = c1) <= ((g(c3, c4) = c3) & (g(c2, c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2265', '2269'])). 318.63/46.69 tff('2271', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('2272', plain, ~ (g(c3, c4) = c3) | ~ (g(c2, c4) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2270', '2271'])). 318.63/46.69 tff('2273', plain, (g(c4, c3) = c3) <= ((g(c4, c3) = c3)), 318.63/46.69 inference('split', [status(esa)], ['263'])). 318.63/46.69 tff('2274', plain, ![X0]: (g(c4, X0) != c3 | g(c3, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['945', '946'])). 318.63/46.69 tff('2275', plain, ((c3 != c3 | g(c3, c3) = c1)) <= ((g(c4, c3) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['2273', '2274'])). 318.63/46.69 tff('2276', plain, (g(c3, c3) = c1) <= ((g(c4, c3) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['2275'])). 318.63/46.69 tff('2277', plain, (g(c3, c3) = c2) <= ((g(c3, c4) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1897'])). 318.63/46.69 tff('2278', plain, (c1 = c2) <= ((g(c4, c3) = c3) & (g(c3, c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2276', '2277'])). 318.63/46.69 tff('2279', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2280', plain, ~ (g(c3, c4) = c4) | ~ (g(c4, c3) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2278', '2279'])). 318.63/46.69 tff('2281', plain, (g(c4, c4) = c3) <= ((g(c4, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('2282', plain, (g(c4, c4) = c1) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['991'])). 318.63/46.69 tff('2283', plain, (c3 = c1) <= ((g(c5, c4) = c3) & (g(c4, c4) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2281', '2282'])). 318.63/46.69 tff('2284', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('2285', plain, ~ (g(c5, c4) = c3) | ~ (g(c4, c4) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2283', '2284'])). 318.63/46.69 tff('2286', plain, (g(c4, c4) = c4) <= ((g(c4, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('2287', plain, (g(c4, c4) = c1) <= ((g(c5, c4) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['991'])). 318.63/46.69 tff('2288', plain, (c4 = c1) <= ((g(c5, c4) = c3) & (g(c4, c4) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2286', '2287'])). 318.63/46.69 tff('2289', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('2290', plain, ~ (g(c5, c4) = c3) | ~ (g(c4, c4) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2288', '2289'])). 318.63/46.69 tff('2291', plain, (g(c2, c2) = c3) <= ((g(c2, c2) = c3)), 318.63/46.69 inference('split', [status(esa)], ['108'])). 318.63/46.69 tff('2292', plain, (g(c2, c3) = c4) <= ((g(c2, c3) = c4)), 318.63/46.69 inference('split', [status(esa)], ['1128'])). 318.63/46.69 tff('2293', plain, ![X0]: (g(X0, c3) != c4 | g(X0, c2) = c2), 318.63/46.69 inference('sup-', [status(thm)], ['260', '261'])). 318.63/46.69 tff('2294', plain, ((c4 != c4 | g(c2, c2) = c2)) <= ((g(c2, c3) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['2292', '2293'])). 318.63/46.69 tff('2295', plain, (g(c2, c2) = c2) <= ((g(c2, c3) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['2294'])). 318.63/46.69 tff('2296', plain, (c3 = c2) <= ((g(c2, c2) = c3) & (g(c2, c3) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2291', '2295'])). 318.63/46.69 tff('2297', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('2298', plain, ~ (g(c2, c3) = c4) | ~ (g(c2, c2) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2296', '2297'])). 318.63/46.69 tff('2299', plain, (g(c4, c5) = c3) <= ((g(c4, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('2300', plain, ![X0]: (g(c4, X0) != c3 | g(c3, X0) = c1), 318.63/46.69 inference('sup-', [status(thm)], ['945', '946'])). 318.63/46.69 tff('2301', plain, ((c3 != c3 | g(c3, c5) = c1)) <= ((g(c4, c5) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['2299', '2300'])). 318.63/46.69 tff('2302', plain, (g(c3, c5) = c1) <= ((g(c4, c5) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['2301'])). 318.63/46.69 tff('2303', plain, (g(c3, c5) = c4) <= ((g(c3, c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['491'])). 318.63/46.69 tff('2304', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2305', plain, ((c4 != c2 | g(c3, s(c5)) = c4)) <= ((g(c3, c5) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['2303', '2304'])). 318.63/46.69 tff('2306', plain, (g(c3, s(c5)) = c4) <= ((g(c3, s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['2305'])). 318.63/46.69 tff('2307', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2308', plain, ((c4 != c4 | g(c3, c5) = c2)) <= ((g(c3, s(c5)) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['2306', '2307'])). 318.63/46.69 tff('2309', plain, (g(c3, c5) = c2) <= ((g(c3, s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['2308'])). 318.63/46.69 tff('2310', plain, (c1 = c2) <= ((g(c4, c5) = c3) & (g(c3, s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2302', '2309'])). 318.63/46.69 tff('2311', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2312', plain, ~ (g(c3, s(c5)) = c4) | ~ (g(c4, c5) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2310', '2311'])). 318.63/46.69 tff('2313', plain, (g(c4, c4) = c4) <= ((g(c4, c4) = c4)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('2314', plain, (g(c4, c4) = c3) <= ((g(c4, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['595'])). 318.63/46.69 tff('2315', plain, (c4 = c3) <= ((g(c4, c4) = c4) & (g(c4, c4) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2313', '2314'])). 318.63/46.69 tff('2316', plain, c4 != c3, 318.63/46.69 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.69 tff('2317', plain, ~ (g(c4, c4) = c3) | ~ (g(c4, c4) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2315', '2316'])). 318.63/46.69 tff('2318', plain, (g(c5, s(c5)) = c4) <= ((g(c5, s(c5)) = c4)), 318.63/46.69 inference('split', [status(esa)], ['752'])). 318.63/46.69 tff('2319', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2320', plain, ((c4 != c4 | g(c5, c5) = c2)) <= ((g(c5, s(c5)) = c4)), 318.63/46.69 inference('sup-', [status(thm)], ['2318', '2319'])). 318.63/46.69 tff('2321', plain, (g(c5, c5) = c2) <= ((g(c5, s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['2320'])). 318.63/46.69 tff('2322', plain, (g(c5, c5) = c4) <= ((g(c5, c4) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['1724'])). 318.63/46.69 tff('2323', plain, (c2 = c4) <= ((g(c5, s(c5)) = c4) & (g(c5, c4) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['2321', '2322'])). 318.63/46.69 tff('2324', plain, c4 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.69 tff('2325', plain, ~ (g(c5, s(c5)) = c4) | ~ (g(c5, c4) = c2), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2323', '2324'])). 318.63/46.69 tff('2326', plain, (g(c5, c5) = c1) <= ((g(s(c5), c5) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1718'])). 318.63/46.69 tff('2327', plain, (g(c5, c5) = c2) <= ((g(c5, s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['2320'])). 318.63/46.69 tff('2328', plain, (c1 = c2) <= ((g(s(c5), c5) = c3) & (g(c5, s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2326', '2327'])). 318.63/46.69 tff('2329', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2330', plain, ~ (g(c5, s(c5)) = c4) | ~ (g(s(c5), c5) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2328', '2329'])). 318.63/46.69 tff('2331', plain, (g(c5, c5) = c3) <= ((g(c5, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['425'])). 318.63/46.69 tff('2332', plain, (g(c5, c5) = c2) <= ((g(c5, s(c5)) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['2320'])). 318.63/46.69 tff('2333', plain, (c3 = c2) <= ((g(c5, c5) = c3) & (g(c5, s(c5)) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2331', '2332'])). 318.63/46.69 tff('2334', plain, c3 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.69 tff('2335', plain, ~ (g(c5, s(c5)) = c4) | ~ (g(c5, c5) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2333', '2334'])). 318.63/46.69 tff('2336', plain, (g(s(s(c5)), c8) = c3) <= ((g(s(s(c5)), c8) = c3)), 318.63/46.69 inference('split', [status(esa)], ['1023'])). 318.63/46.69 tff('2337', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2338', plain, 318.63/46.69 ((c3 != c3 | g(s(c5), c8) = c1)) <= ((g(s(s(c5)), c8) = c3)), 318.63/46.69 inference('sup-', [status(thm)], ['2336', '2337'])). 318.63/46.69 tff('2339', plain, (g(s(c5), c8) = c1) <= ((g(s(s(c5)), c8) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['2338'])). 318.63/46.69 tff('2340', plain, (g(s(c5), s(s(c5))) = c2) <= ((g(s(c5), s(s(c5))) = c2)), 318.63/46.69 inference('split', [status(esa)], ['184'])). 318.63/46.69 tff('2341', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2342', plain, 318.63/46.69 ((c2 != c2 | g(s(c5), s(s(s(c5)))) = c4)) <= ((g(s(c5), s(s(c5))) = c2)), 318.63/46.69 inference('sup-', [status(thm)], ['2340', '2341'])). 318.63/46.69 tff('2343', plain, s(s(s(c5))) = c8, 318.63/46.69 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.69 tff('2344', plain, 318.63/46.69 ((c2 != c2 | g(s(c5), c8) = c4)) <= ((g(s(c5), s(s(c5))) = c2)), 318.63/46.69 inference('demod', [status(thm)], ['2342', '2343'])). 318.63/46.69 tff('2345', plain, (g(s(c5), c8) = c4) <= ((g(s(c5), s(s(c5))) = c2)), 318.63/46.69 inference('simplify', [status(thm)], ['2344'])). 318.63/46.69 tff('2346', plain, 318.63/46.69 (c1 = c4) <= ((g(s(s(c5)), c8) = c3) & (g(s(c5), s(s(c5))) = c2)), 318.63/46.69 inference('sup+', [status(thm)], ['2339', '2345'])). 318.63/46.69 tff('2347', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('2348', plain, ~ (g(s(c5), s(s(c5))) = c2) | ~ (g(s(s(c5)), c8) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2346', '2347'])). 318.63/46.69 tff('2349', plain, 318.63/46.69 (g(s(s(c5)), c8) = c3) | (g(s(s(c5)), c8) = c4) | (g(s(s(c5)), c8) = c5), 318.63/46.69 inference('split', [status(esa)], ['1023'])). 318.63/46.69 tff('2350', plain, (g(s(s(c5)), c8) = c1) <= ((g(s(s(c5)), c8) = c1)), 318.63/46.69 inference('split', [status(esa)], ['74'])). 318.63/46.69 tff('2351', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2352', plain, 318.63/46.69 ((c1 != c5 | zip_tseitin_2(c8, s(s(c5))))) <= ((g(s(s(c5)), c8) = c1)), 318.63/46.69 inference('sup-', [status(thm)], ['2350', '2351'])). 318.63/46.69 tff('2353', plain, 318.63/46.69 ( zip_tseitin_2(c8, s(s(c5)))) <= (( zip_tseitin_2(c8, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['2352'])). 318.63/46.69 tff('2354', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('2355', plain, 318.63/46.69 (( zip_tseitin_1(c8, s(s(c5))) | zip_tseitin_0(c8, s(s(c5))))) 318.63/46.69 <= (( zip_tseitin_2(c8, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['2353', '2354'])). 318.63/46.69 tff('2356', plain, 318.63/46.69 ( zip_tseitin_1(c8, s(s(c5)))) <= (( zip_tseitin_1(c8, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['2355'])). 318.63/46.69 tff('2357', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.69 tff('2358', plain, (s(s(c5)) = c8) <= (( zip_tseitin_1(c8, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['2356', '2357'])). 318.63/46.69 tff('2359', plain, s(s(s(c5))) = c8, 318.63/46.69 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.69 tff('2360', plain, (s(c8) = c8) <= (( zip_tseitin_1(c8, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['2358', '2359'])). 318.63/46.69 tff('2361', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2362', plain, (s(s(s(c8))) != c8) <= (( zip_tseitin_1(c8, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['2360', '2361'])). 318.63/46.69 tff('2363', plain, (s(c8) = c8) <= (( zip_tseitin_1(c8, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['2358', '2359'])). 318.63/46.69 tff('2364', plain, (s(c8) = c8) <= (( zip_tseitin_1(c8, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['2358', '2359'])). 318.63/46.69 tff('2365', plain, (s(c8) = c8) <= (( zip_tseitin_1(c8, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['2358', '2359'])). 318.63/46.69 tff('2366', plain, (c8 != c8) <= (( zip_tseitin_1(c8, s(s(c5))))), 318.63/46.69 inference('demod', [status(thm)], ['2362', '2363', '2364', '2365'])). 318.63/46.69 tff('2367', plain, ~ ( zip_tseitin_1(c8, s(s(c5)))), 318.63/46.69 inference('simplify', [status(thm)], ['2366'])). 318.63/46.69 tff('2368', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2369', plain, 318.63/46.69 ( zip_tseitin_0(c8, s(s(c5)))) <= (( zip_tseitin_0(c8, s(s(c5))))), 318.63/46.69 inference('split', [status(esa)], ['2355'])). 318.63/46.69 tff('2370', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.69 tff('2371', plain, (c8 = c1) <= (( zip_tseitin_0(c8, s(s(c5))))), 318.63/46.69 inference('sup-', [status(thm)], ['2369', '2370'])). 318.63/46.69 tff('2372', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2373', plain, (c1 = s(c1)) <= (( zip_tseitin_0(c8, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['2371', '2372'])). 318.63/46.69 tff('2374', plain, (c1 = c2) <= (( zip_tseitin_0(c8, s(s(c5))))), 318.63/46.69 inference('sup+', [status(thm)], ['2368', '2373'])). 318.63/46.69 tff('2375', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2376', plain, ~ ( zip_tseitin_0(c8, s(s(c5)))), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2374', '2375'])). 318.63/46.69 tff('2377', plain, (g(s(s(c5)), c8) = c5) <= ((g(s(s(c5)), c8) = c5)), 318.63/46.69 inference('split', [status(esa)], ['1023'])). 318.63/46.69 tff('2378', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2379', plain, 318.63/46.69 ((c5 != c5 | zip_tseitin_2(c8, s(s(c5))))) <= ((g(s(s(c5)), c8) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['2377', '2378'])). 318.63/46.69 tff('2380', plain, 318.63/46.69 ( zip_tseitin_2(c8, s(s(c5)))) <= ((g(s(s(c5)), c8) = c5)), 318.63/46.69 inference('simplify', [status(thm)], ['2379'])). 318.63/46.69 tff('2381', plain, 318.63/46.69 ![X0, X1]: 318.63/46.69 ( zip_tseitin_0(X0, X1) 318.63/46.69 | zip_tseitin_1(X0, X1) 318.63/46.69 | ~ zip_tseitin_2(X0, X1)), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.69 tff('2382', plain, 318.63/46.69 (( zip_tseitin_1(c8, s(s(c5))) | zip_tseitin_0(c8, s(s(c5))))) 318.63/46.69 <= ((g(s(s(c5)), c8) = c5)), 318.63/46.69 inference('sup-', [status(thm)], ['2380', '2381'])). 318.63/46.69 tff('2383', plain, 318.63/46.69 ( zip_tseitin_0(c8, s(s(c5)))) | ( zip_tseitin_1(c8, s(s(c5)))) | 318.63/46.69 ~ (g(s(s(c5)), c8) = c5), inference('split', [status(esa)], ['2382'])). 318.63/46.69 tff('2384', plain, (g(s(s(c5)), s(s(c5))) = c2) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.69 inference('simplify', [status(thm)], ['1819'])). 318.63/46.69 tff('2385', plain, (g(s(s(c5)), s(s(c5))) = c1) <= ((g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['1954'])). 318.63/46.69 tff('2386', plain, 318.63/46.69 (c2 = c1) <= ((g(s(s(c5)), c8) = c4) & (g(c8, s(s(c5))) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2384', '2385'])). 318.63/46.69 tff('2387', plain, c1 != c2, 318.63/46.69 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.69 tff('2388', plain, ~ (g(c8, s(s(c5))) = c3) | ~ (g(s(s(c5)), c8) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2386', '2387'])). 318.63/46.69 tff('2389', plain, (g(c3, c5) = c3) <= ((g(c3, c5) = c3)), 318.63/46.69 inference('split', [status(esa)], ['491'])). 318.63/46.69 tff('2390', plain, (g(c3, c5) = c1) <= ((g(c4, c5) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['2301'])). 318.63/46.69 tff('2391', plain, (c3 = c1) <= ((g(c4, c5) = c3) & (g(c3, c5) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2389', '2390'])). 318.63/46.69 tff('2392', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('2393', plain, ~ (g(c3, c5) = c3) | ~ (g(c4, c5) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2391', '2392'])). 318.63/46.69 tff('2394', plain, (g(c3, c5) = c4) <= ((g(c3, c5) = c4)), 318.63/46.69 inference('split', [status(esa)], ['491'])). 318.63/46.69 tff('2395', plain, (g(c3, c5) = c1) <= ((g(c4, c5) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['2301'])). 318.63/46.69 tff('2396', plain, (c4 = c1) <= ((g(c4, c5) = c3) & (g(c3, c5) = c4)), 318.63/46.69 inference('sup+', [status(thm)], ['2394', '2395'])). 318.63/46.69 tff('2397', plain, c4 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.69 tff('2398', plain, ~ (g(c4, c5) = c3) | ~ (g(c3, c5) = c4), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2396', '2397'])). 318.63/46.69 tff('2399', plain, (g(c2, c4) = c3) <= ((g(c2, c4) = c3)), 318.63/46.69 inference('split', [status(esa)], ['2264'])). 318.63/46.69 tff('2400', plain, (g(c2, c4) = c1) <= ((g(c3, c4) = c3)), 318.63/46.69 inference('simplify', [status(thm)], ['2268'])). 318.63/46.69 tff('2401', plain, (c3 = c1) <= ((g(c3, c4) = c3) & (g(c2, c4) = c3)), 318.63/46.69 inference('sup+', [status(thm)], ['2399', '2400'])). 318.63/46.69 tff('2402', plain, c3 != c1, 318.63/46.69 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.69 tff('2403', plain, ~ (g(c2, c4) = c3) | ~ (g(c3, c4) = c3), 318.63/46.69 inference('simplify_reflect-', [status(thm)], ['2401', '2402'])). 318.63/46.69 tff('2404', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2405', plain, 318.63/46.69 ![X0]: 318.63/46.69 (g(c3, s(X0)) = c4 318.63/46.69 | g(c4, X0) = c3 318.63/46.69 | g(c3, X0) = c3 318.63/46.69 | g(c3, X0) = c5 318.63/46.69 | g(c3, X0) = c4), 318.63/46.69 inference('simplify', [status(thm)], ['8'])). 318.63/46.69 tff('2406', plain, 318.63/46.69 (g(c3, c5) = c4 318.63/46.69 | g(c3, c4) = c4 318.63/46.69 | g(c3, c4) = c5 318.63/46.69 | g(c3, c4) = c3 318.63/46.69 | g(c4, c4) = c3), 318.63/46.69 inference('sup+', [status(thm)], ['2404', '2405'])). 318.63/46.69 tff('2407', plain, 318.63/46.69 (g(c3, c5) = c4) | (g(c3, c4) = c3) | (g(c3, c4) = c5) | 318.63/46.69 (g(c4, c4) = c3) | (g(c3, c4) = c4), 318.63/46.69 inference('split', [status(esa)], ['2406'])). 318.63/46.69 tff('2408', plain, (g(c3, c4) = c2) <= ((g(c3, c4) = c2)), 318.63/46.69 inference('split', [status(esa)], ['491'])). 318.63/46.69 tff('2409', plain, 318.63/46.69 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.69 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.69 tff('2410', plain, 318.63/46.69 ((c2 != c5 | zip_tseitin_2(c4, c3))) <= ((g(c3, c4) = c2)), 318.63/46.70 inference('sup-', [status(thm)], ['2408', '2409'])). 318.63/46.70 tff('2411', plain, ( zip_tseitin_2(c4, c3)) <= (( zip_tseitin_2(c4, c3))), 318.63/46.70 inference('split', [status(esa)], ['2410'])). 318.63/46.70 tff('2412', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2413', plain, 318.63/46.70 (( zip_tseitin_1(c4, c3) | zip_tseitin_0(c4, c3))) 318.63/46.70 <= (( zip_tseitin_2(c4, c3))), 318.63/46.70 inference('sup-', [status(thm)], ['2411', '2412'])). 318.63/46.70 tff('2414', plain, ( zip_tseitin_1(c4, c3)) <= (( zip_tseitin_1(c4, c3))), 318.63/46.70 inference('split', [status(esa)], ['2413'])). 318.63/46.70 tff('2415', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2416', plain, (c4 = c8) <= (( zip_tseitin_1(c4, c3))), 318.63/46.70 inference('sup-', [status(thm)], ['2414', '2415'])). 318.63/46.70 tff('2417', plain, c8 != c4, 318.63/46.70 inference('demod', [status(thm)], ['681', '682'])). 318.63/46.70 tff('2418', plain, ~ ( zip_tseitin_1(c4, c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2416', '2417'])). 318.63/46.70 tff('2419', plain, ( zip_tseitin_0(c4, c3)) <= (( zip_tseitin_0(c4, c3))), 318.63/46.70 inference('split', [status(esa)], ['2413'])). 318.63/46.70 tff('2420', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2421', plain, (c4 = c1) <= (( zip_tseitin_0(c4, c3))), 318.63/46.70 inference('sup-', [status(thm)], ['2419', '2420'])). 318.63/46.70 tff('2422', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('2423', plain, ~ ( zip_tseitin_0(c4, c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2421', '2422'])). 318.63/46.70 tff('2424', plain, (g(c3, c4) = c5) <= ((g(c3, c4) = c5)), 318.63/46.70 inference('split', [status(esa)], ['934'])). 318.63/46.70 tff('2425', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2426', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c4, c3))) <= ((g(c3, c4) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2424', '2425'])). 318.63/46.70 tff('2427', plain, ( zip_tseitin_2(c4, c3)) <= ((g(c3, c4) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['2426'])). 318.63/46.70 tff('2428', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2429', plain, 318.63/46.70 (( zip_tseitin_1(c4, c3) | zip_tseitin_0(c4, c3))) <= ((g(c3, c4) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2427', '2428'])). 318.63/46.70 tff('2430', plain, 318.63/46.70 ~ (g(c3, c4) = c5) | ( zip_tseitin_0(c4, c3)) | ( zip_tseitin_1(c4, c3)), 318.63/46.70 inference('split', [status(esa)], ['2429'])). 318.63/46.70 tff('2431', plain, (g(c2, c4) = c1) <= ((g(c3, c4) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2268'])). 318.63/46.70 tff('2432', plain, (g(c2, c5) = c4) <= ((g(c2, c5) = c4)), 318.63/46.70 inference('split', [status(esa)], ['487'])). 318.63/46.70 tff('2433', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.70 tff('2434', plain, ((c4 != c4 | g(c2, c4) = c2)) <= ((g(c2, c5) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['2432', '2433'])). 318.63/46.70 tff('2435', plain, (g(c2, c4) = c2) <= ((g(c2, c5) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2434'])). 318.63/46.70 tff('2436', plain, (c1 = c2) <= ((g(c3, c4) = c3) & (g(c2, c5) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2431', '2435'])). 318.63/46.70 tff('2437', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2438', plain, ~ (g(c2, c5) = c4) | ~ (g(c3, c4) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2436', '2437'])). 318.63/46.70 tff('2439', plain, (g(c3, c3) = c3) <= ((g(c3, c3) = c3)), 318.63/46.70 inference('split', [status(esa)], ['47'])). 318.63/46.70 tff('2440', plain, (g(c3, c3) = c2) <= ((g(c3, c4) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['1897'])). 318.63/46.70 tff('2441', plain, (c3 = c2) <= ((g(c3, c3) = c3) & (g(c3, c4) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2439', '2440'])). 318.63/46.70 tff('2442', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('2443', plain, ~ (g(c3, c3) = c3) | ~ (g(c3, c4) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2441', '2442'])). 318.63/46.70 tff('2444', plain, (g(c3, c5) = c3) <= ((g(c3, c5) = c3)), 318.63/46.70 inference('split', [status(esa)], ['491'])). 318.63/46.70 tff('2445', plain, (g(c3, c5) = c2) <= ((g(c3, s(c5)) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2308'])). 318.63/46.70 tff('2446', plain, (c3 = c2) <= ((g(c3, c5) = c3) & (g(c3, s(c5)) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2444', '2445'])). 318.63/46.70 tff('2447', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('2448', plain, ~ (g(c3, c5) = c3) | ~ (g(c3, s(c5)) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2446', '2447'])). 318.63/46.70 tff('2449', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2450', plain, (g(s(s(c5)), s(c5)) = c2) <= ((g(s(s(c5)), s(c5)) = c2)), 318.63/46.70 inference('split', [status(esa)], ['236'])). 318.63/46.70 tff('2451', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2452', plain, 318.63/46.70 ((c2 != c5 | zip_tseitin_2(s(c5), s(s(c5))))) 318.63/46.70 <= ((g(s(s(c5)), s(c5)) = c2)), 318.63/46.70 inference('sup-', [status(thm)], ['2450', '2451'])). 318.63/46.70 tff('2453', plain, 318.63/46.70 ( zip_tseitin_2(s(c5), s(s(c5)))) <= (( zip_tseitin_2(s(c5), s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['2452'])). 318.63/46.70 tff('2454', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2455', plain, 318.63/46.70 (( zip_tseitin_1(s(c5), s(s(c5))) | zip_tseitin_0(s(c5), s(s(c5))))) 318.63/46.70 <= (( zip_tseitin_2(s(c5), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2453', '2454'])). 318.63/46.70 tff('2456', plain, 318.63/46.70 ( zip_tseitin_1(s(c5), s(s(c5)))) <= (( zip_tseitin_1(s(c5), s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['2455'])). 318.63/46.70 tff('2457', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2458', plain, (s(c5) = c8) <= (( zip_tseitin_1(s(c5), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2456', '2457'])). 318.63/46.70 tff('2459', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('2460', plain, (s(s(c8)) = c8) <= (( zip_tseitin_1(s(c5), s(s(c5))))), 318.63/46.70 inference('sup+', [status(thm)], ['2458', '2459'])). 318.63/46.70 tff('2461', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2462', plain, (s(c1) = c8) <= (( zip_tseitin_1(s(c5), s(s(c5))))), 318.63/46.70 inference('demod', [status(thm)], ['2460', '2461'])). 318.63/46.70 tff('2463', plain, 318.63/46.70 ( zip_tseitin_1(s(c5), s(s(c5)))) <= (( zip_tseitin_1(s(c5), s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['2455'])). 318.63/46.70 tff('2464', plain, (s(c5) = c8) <= (( zip_tseitin_1(s(c5), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2456', '2457'])). 318.63/46.70 tff('2465', plain, (s(c5) = c8) <= (( zip_tseitin_1(s(c5), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2456', '2457'])). 318.63/46.70 tff('2466', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2467', plain, 318.63/46.70 ( zip_tseitin_1(c8, c1)) <= (( zip_tseitin_1(s(c5), s(s(c5))))), 318.63/46.70 inference('demod', [status(thm)], ['2463', '2464', '2465', '2466'])). 318.63/46.70 tff('2468', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2469', plain, (c1 = c8) <= (( zip_tseitin_1(s(c5), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2467', '2468'])). 318.63/46.70 tff('2470', plain, (s(c1) = c1) <= (( zip_tseitin_1(s(c5), s(s(c5))))), 318.63/46.70 inference('demod', [status(thm)], ['2462', '2469'])). 318.63/46.70 tff('2471', plain, (c2 = c1) <= (( zip_tseitin_1(s(c5), s(s(c5))))), 318.63/46.70 inference('sup+', [status(thm)], ['2449', '2470'])). 318.63/46.70 tff('2472', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2473', plain, ~ ( zip_tseitin_1(s(c5), s(s(c5)))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2471', '2472'])). 318.63/46.70 tff('2474', plain, 318.63/46.70 ( zip_tseitin_0(s(c5), s(s(c5)))) <= (( zip_tseitin_0(s(c5), s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['2455'])). 318.63/46.70 tff('2475', plain, 318.63/46.70 ( zip_tseitin_0(s(c5), s(s(c5)))) <= (( zip_tseitin_0(s(c5), s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['2455'])). 318.63/46.70 tff('2476', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2477', plain, (s(c5) = c1) <= (( zip_tseitin_0(s(c5), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2475', '2476'])). 318.63/46.70 tff('2478', plain, (s(c5) = c1) <= (( zip_tseitin_0(s(c5), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2475', '2476'])). 318.63/46.70 tff('2479', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2480', plain, 318.63/46.70 ( zip_tseitin_0(c1, c2)) <= (( zip_tseitin_0(s(c5), s(s(c5))))), 318.63/46.70 inference('demod', [status(thm)], ['2474', '2477', '2478', '2479'])). 318.63/46.70 tff('2481', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2482', plain, (c2 = c1) <= (( zip_tseitin_0(s(c5), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2480', '2481'])). 318.63/46.70 tff('2483', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2484', plain, ~ ( zip_tseitin_0(s(c5), s(s(c5)))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2482', '2483'])). 318.63/46.70 tff('2485', plain, (g(s(s(c5)), s(c5)) = c5) <= ((g(s(s(c5)), s(c5)) = c5)), 318.63/46.70 inference('split', [status(esa)], ['249'])). 318.63/46.70 tff('2486', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2487', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(s(c5), s(s(c5))))) 318.63/46.70 <= ((g(s(s(c5)), s(c5)) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2485', '2486'])). 318.63/46.70 tff('2488', plain, 318.63/46.70 ( zip_tseitin_2(s(c5), s(s(c5)))) <= ((g(s(s(c5)), s(c5)) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['2487'])). 318.63/46.70 tff('2489', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2490', plain, 318.63/46.70 (( zip_tseitin_1(s(c5), s(s(c5))) | zip_tseitin_0(s(c5), s(s(c5))))) 318.63/46.70 <= ((g(s(s(c5)), s(c5)) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2488', '2489'])). 318.63/46.70 tff('2491', plain, 318.63/46.70 ~ (g(s(s(c5)), s(c5)) = c5) | ( zip_tseitin_0(s(c5), s(s(c5)))) | 318.63/46.70 ( zip_tseitin_1(s(c5), s(s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['2490'])). 318.63/46.70 tff('2492', plain, 318.63/46.70 (g(s(s(c5)), s(s(c5))) = c2) <= ((g(s(s(c5)), s(s(c5))) = c2)), 318.63/46.70 inference('split', [status(esa)], ['189'])). 318.63/46.70 tff('2493', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2494', plain, 318.63/46.70 ((c2 != c5 | zip_tseitin_2(s(s(c5)), s(s(c5))))) 318.63/46.70 <= ((g(s(s(c5)), s(s(c5))) = c2)), 318.63/46.70 inference('sup-', [status(thm)], ['2492', '2493'])). 318.63/46.70 tff('2495', plain, 318.63/46.70 ( zip_tseitin_2(s(s(c5)), s(s(c5)))) 318.63/46.70 <= (( zip_tseitin_2(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['2494'])). 318.63/46.70 tff('2496', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2497', plain, 318.63/46.70 (( zip_tseitin_1(s(s(c5)), s(s(c5))) | zip_tseitin_0(s(s(c5)), s(s(c5))))) 318.63/46.70 <= (( zip_tseitin_2(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2495', '2496'])). 318.63/46.70 tff('2498', plain, 318.63/46.70 ( zip_tseitin_1(s(s(c5)), s(s(c5)))) 318.63/46.70 <= (( zip_tseitin_1(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['2497'])). 318.63/46.70 tff('2499', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2500', plain, (s(s(c5)) = c8) <= (( zip_tseitin_1(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2498', '2499'])). 318.63/46.70 tff('2501', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('2502', plain, (s(c8) = c8) <= (( zip_tseitin_1(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('sup+', [status(thm)], ['2500', '2501'])). 318.63/46.70 tff('2503', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2504', plain, 318.63/46.70 (s(s(s(c8))) != c8) <= (( zip_tseitin_1(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2502', '2503'])). 318.63/46.70 tff('2505', plain, (s(c8) = c8) <= (( zip_tseitin_1(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('sup+', [status(thm)], ['2500', '2501'])). 318.63/46.70 tff('2506', plain, (s(c8) = c8) <= (( zip_tseitin_1(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('sup+', [status(thm)], ['2500', '2501'])). 318.63/46.70 tff('2507', plain, (s(c8) = c8) <= (( zip_tseitin_1(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('sup+', [status(thm)], ['2500', '2501'])). 318.63/46.70 tff('2508', plain, (c8 != c8) <= (( zip_tseitin_1(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('demod', [status(thm)], ['2504', '2505', '2506', '2507'])). 318.63/46.70 tff('2509', plain, ~ ( zip_tseitin_1(s(s(c5)), s(s(c5)))), 318.63/46.70 inference('simplify', [status(thm)], ['2508'])). 318.63/46.70 tff('2510', plain, 318.63/46.70 ( zip_tseitin_0(s(s(c5)), s(s(c5)))) 318.63/46.70 <= (( zip_tseitin_0(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['2497'])). 318.63/46.70 tff('2511', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2512', plain, (s(s(c5)) = c1) <= (( zip_tseitin_0(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2510', '2511'])). 318.63/46.70 tff('2513', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('2514', plain, (s(c1) = c8) <= (( zip_tseitin_0(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('sup+', [status(thm)], ['2512', '2513'])). 318.63/46.70 tff('2515', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2516', plain, 318.63/46.70 (s(s(s(c8))) != c1) <= (( zip_tseitin_0(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['2514', '2515'])). 318.63/46.70 tff('2517', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2518', plain, (s(c1) = c8) <= (( zip_tseitin_0(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('sup+', [status(thm)], ['2512', '2513'])). 318.63/46.70 tff('2519', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2520', plain, (c1 != c1) <= (( zip_tseitin_0(s(s(c5)), s(s(c5))))), 318.63/46.70 inference('demod', [status(thm)], ['2516', '2517', '2518', '2519'])). 318.63/46.70 tff('2521', plain, ~ ( zip_tseitin_0(s(s(c5)), s(s(c5)))), 318.63/46.70 inference('simplify', [status(thm)], ['2520'])). 318.63/46.70 tff('2522', plain, 318.63/46.70 (g(s(s(c5)), s(s(c5))) = c5) <= ((g(s(s(c5)), s(s(c5))) = c5)), 318.63/46.70 inference('split', [status(esa)], ['534'])). 318.63/46.70 tff('2523', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2524', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(s(s(c5)), s(s(c5))))) 318.63/46.70 <= ((g(s(s(c5)), s(s(c5))) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2522', '2523'])). 318.63/46.70 tff('2525', plain, 318.63/46.70 ( zip_tseitin_2(s(s(c5)), s(s(c5)))) <= ((g(s(s(c5)), s(s(c5))) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['2524'])). 318.63/46.70 tff('2526', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2527', plain, 318.63/46.70 (( zip_tseitin_1(s(s(c5)), s(s(c5))) | zip_tseitin_0(s(s(c5)), s(s(c5))))) 318.63/46.70 <= ((g(s(s(c5)), s(s(c5))) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2525', '2526'])). 318.63/46.70 tff('2528', plain, 318.63/46.70 ~ (g(s(s(c5)), s(s(c5))) = c5) | ( zip_tseitin_0(s(s(c5)), s(s(c5)))) | 318.63/46.70 ( zip_tseitin_1(s(s(c5)), s(s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['2527'])). 318.63/46.70 tff('2529', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('2530', plain, 318.63/46.70 (g(s(s(c5)), s(s(c5))) = c4) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.70 inference('split', [status(esa)], ['534'])). 318.63/46.70 tff('2531', plain, 318.63/46.70 ((c3 = c4 318.63/46.70 | g(s(c5), s(s(c5))) = c3 318.63/46.70 | g(s(c5), s(s(c5))) = c5 318.63/46.70 | g(s(c5), s(s(c5))) = c4 318.63/46.70 | g(s(c5), s(s(c5))) = c2)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2529', '2530'])). 318.63/46.70 tff('2532', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('2533', plain, 318.63/46.70 ((g(s(c5), s(s(c5))) = c3 318.63/46.70 | g(s(c5), s(s(c5))) = c5 318.63/46.70 | g(s(c5), s(s(c5))) = c4 318.63/46.70 | g(s(c5), s(s(c5))) = c2)) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2531', '2532'])). 318.63/46.70 tff('2534', plain, 318.63/46.70 ~ (g(s(s(c5)), s(s(c5))) = c4) | (g(s(c5), s(s(c5))) = c3) | 318.63/46.70 (g(s(c5), s(s(c5))) = c5) | (g(s(c5), s(s(c5))) = c4) | 318.63/46.70 (g(s(c5), s(s(c5))) = c2), inference('split', [status(esa)], ['2533'])). 318.63/46.70 tff('2535', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('2536', plain, (g(s(c5), c8) = c1) <= ((g(s(s(c5)), c8) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2338'])). 318.63/46.70 tff('2537', plain, 318.63/46.70 ((c3 = c1 318.63/46.70 | g(c5, c8) = c3 318.63/46.70 | g(c5, c8) = c5 318.63/46.70 | g(c5, c8) = c4 318.63/46.70 | g(c5, c8) = c2)) <= ((g(s(s(c5)), c8) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2535', '2536'])). 318.63/46.70 tff('2538', plain, ![X10]: g(X10, c8) != c2, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2539', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('2540', plain, 318.63/46.70 ((g(c5, c8) = c3 | g(c5, c8) = c5 | g(c5, c8) = c4)) 318.63/46.70 <= ((g(s(s(c5)), c8) = c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2537', '2538', '2539'])). 318.63/46.70 tff('2541', plain, 318.63/46.70 (g(c5, c8) = c5) | (g(c5, c8) = c4) | (g(c5, c8) = c3) | 318.63/46.70 ~ (g(s(s(c5)), c8) = c3), inference('split', [status(esa)], ['2540'])). 318.63/46.70 tff('2542', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('2543', plain, (g(s(c5), c8) = c4) <= ((g(s(c5), c8) = c4)), 318.63/46.70 inference('split', [status(esa)], ['78'])). 318.63/46.70 tff('2544', plain, 318.63/46.70 ((c3 = c4 318.63/46.70 | g(c5, c8) = c3 318.63/46.70 | g(c5, c8) = c5 318.63/46.70 | g(c5, c8) = c4 318.63/46.70 | g(c5, c8) = c2)) <= ((g(s(c5), c8) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2542', '2543'])). 318.63/46.70 tff('2545', plain, ![X10]: g(X10, c8) != c2, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2546', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('2547', plain, 318.63/46.70 ((g(c5, c8) = c3 | g(c5, c8) = c5 | g(c5, c8) = c4)) 318.63/46.70 <= ((g(s(c5), c8) = c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2544', '2545', '2546'])). 318.63/46.70 tff('2548', plain, (g(c5, c8) = c4) <= ((g(c5, c8) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2547'])). 318.63/46.70 tff('2549', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.70 tff('2550', plain, ((c4 != c4 | g(c5, s(s(c5))) = c2)) <= ((g(c5, c8) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['2548', '2549'])). 318.63/46.70 tff('2551', plain, (g(c5, s(s(c5))) = c2) <= ((g(c5, c8) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2550'])). 318.63/46.70 tff('2552', plain, (g(s(c5), s(s(c5))) = c3) <= ((g(s(c5), s(s(c5))) = c3)), 318.63/46.70 inference('split', [status(esa)], ['226'])). 318.63/46.70 tff('2553', plain, ![X2, X3]: (g(X2, X3) = c1 | g(s(X2), X3) != c3), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2554', plain, 318.63/46.70 ((c3 != c3 | g(c5, s(s(c5))) = c1)) <= ((g(s(c5), s(s(c5))) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['2552', '2553'])). 318.63/46.70 tff('2555', plain, (g(c5, s(s(c5))) = c1) <= ((g(s(c5), s(s(c5))) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2554'])). 318.63/46.70 tff('2556', plain, 318.63/46.70 (c2 = c1) <= ((g(c5, c8) = c4) & (g(s(c5), s(s(c5))) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2551', '2555'])). 318.63/46.70 tff('2557', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2558', plain, ~ (g(c5, c8) = c4) | ~ (g(s(c5), s(s(c5))) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2556', '2557'])). 318.63/46.70 tff('2559', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c3, s(X0)) = c4 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c3, X0) = c5 318.63/46.70 | g(c3, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['8'])). 318.63/46.70 tff('2560', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c4, X0) = c3 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c3, X0) = c5 318.63/46.70 | g(c3, X0) = c4 318.63/46.70 | g(c3, X0) = c2), 318.63/46.70 inference('sup+', [status(thm)], ['1', '5'])). 318.63/46.70 tff('2561', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.70 tff('2562', plain, 318.63/46.70 (c2 != c4 318.63/46.70 | g(c3, c8) = c4 318.63/46.70 | g(c3, c8) = c5 318.63/46.70 | g(c3, c8) = c3 318.63/46.70 | g(c4, c8) = c3 318.63/46.70 | g(c3, s(s(c5))) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['2560', '2561'])). 318.63/46.70 tff('2563', plain, (g(c3, s(s(c5))) = c2) <= ((g(c3, s(s(c5))) = c2)), 318.63/46.70 inference('split', [status(esa)], ['2562'])). 318.63/46.70 tff('2564', plain, 318.63/46.70 ((c4 = c2 318.63/46.70 | g(c3, s(c5)) = c4 318.63/46.70 | g(c3, s(c5)) = c5 318.63/46.70 | g(c3, s(c5)) = c3 318.63/46.70 | g(c4, s(c5)) = c3)) <= ((g(c3, s(s(c5))) = c2)), 318.63/46.70 inference('sup+', [status(thm)], ['2559', '2563'])). 318.63/46.70 tff('2565', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('2566', plain, 318.63/46.70 ((g(c3, s(c5)) = c4 318.63/46.70 | g(c3, s(c5)) = c5 318.63/46.70 | g(c3, s(c5)) = c3 318.63/46.70 | g(c4, s(c5)) = c3)) <= ((g(c3, s(s(c5))) = c2)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2564', '2565'])). 318.63/46.70 tff('2567', plain, (g(c3, s(c5)) = c3) <= ((g(c3, s(c5)) = c3)), 318.63/46.70 inference('split', [status(esa)], ['2566'])). 318.63/46.70 tff('2568', plain, ![X0]: (g(c3, X0) != c3 | g(c2, X0) = c1), 318.63/46.70 inference('sup-', [status(thm)], ['133', '134'])). 318.63/46.70 tff('2569', plain, ((c3 != c3 | g(c2, s(c5)) = c1)) <= ((g(c3, s(c5)) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['2567', '2568'])). 318.63/46.70 tff('2570', plain, (g(c2, s(c5)) = c1) <= ((g(c3, s(c5)) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2569'])). 318.63/46.70 tff('2571', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('2572', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c3, X0) = c3 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c2, X0) = c5 318.63/46.70 | g(c2, X0) = c4 318.63/46.70 | g(c2, X0) = c2), 318.63/46.70 inference('sup+', [status(thm)], ['304', '305'])). 318.63/46.70 tff('2573', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2574', plain, 318.63/46.70 ![X0]: 318.63/46.70 (c2 != c2 318.63/46.70 | g(c2, X0) = c4 318.63/46.70 | g(c2, X0) = c5 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c2, s(X0)) = c4), 318.63/46.70 inference('sup-', [status(thm)], ['2572', '2573'])). 318.63/46.70 tff('2575', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c2, s(X0)) = c4 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c2, X0) = c5 318.63/46.70 | g(c2, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['2574'])). 318.63/46.70 tff('2576', plain, 318.63/46.70 (g(c2, c8) = c4 318.63/46.70 | g(c2, s(s(c5))) = c4 318.63/46.70 | g(c2, s(s(c5))) = c5 318.63/46.70 | g(c2, s(s(c5))) = c3 318.63/46.70 | g(c3, s(s(c5))) = c3), 318.63/46.70 inference('sup+', [status(thm)], ['2571', '2575'])). 318.63/46.70 tff('2577', plain, (g(c2, s(s(c5))) = c4) <= ((g(c2, s(s(c5))) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2576'])). 318.63/46.70 tff('2578', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2579', plain, 318.63/46.70 ((c4 != c4 | g(c2, s(c5)) = c2)) <= ((g(c2, s(s(c5))) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['2577', '2578'])). 318.63/46.70 tff('2580', plain, (g(c2, s(c5)) = c2) <= ((g(c2, s(s(c5))) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2579'])). 318.63/46.70 tff('2581', plain, 318.63/46.70 (c1 = c2) <= ((g(c3, s(c5)) = c3) & (g(c2, s(s(c5))) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2570', '2580'])). 318.63/46.70 tff('2582', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2583', plain, ~ (g(c3, s(c5)) = c3) | ~ (g(c2, s(s(c5))) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2581', '2582'])). 318.63/46.70 tff('2584', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c4, s(X0)) = c4 318.63/46.70 | g(c5, X0) = c3 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c4, X0) = c5 318.63/46.70 | g(c4, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['391'])). 318.63/46.70 tff('2585', plain, (g(c4, s(c5)) = c3) <= ((g(c4, s(c5)) = c3)), 318.63/46.70 inference('split', [status(esa)], ['566'])). 318.63/46.70 tff('2586', plain, 318.63/46.70 ((c4 = c3 318.63/46.70 | g(c4, c5) = c4 318.63/46.70 | g(c4, c5) = c5 318.63/46.70 | g(c4, c5) = c3 318.63/46.70 | g(c5, c5) = c3)) <= ((g(c4, s(c5)) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2584', '2585'])). 318.63/46.70 tff('2587', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('2588', plain, 318.63/46.70 ((g(c4, c5) = c4 | g(c4, c5) = c5 | g(c4, c5) = c3 | g(c5, c5) = c3)) 318.63/46.70 <= ((g(c4, s(c5)) = c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2586', '2587'])). 318.63/46.70 tff('2589', plain, 318.63/46.70 (g(c4, c5) = c5) | (g(c4, c5) = c3) | (g(c4, c5) = c4) | 318.63/46.70 (g(c5, c5) = c3) | ~ (g(c4, s(c5)) = c3), 318.63/46.70 inference('split', [status(esa)], ['2588'])). 318.63/46.70 tff('2590', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c4, s(X0)) = c4 318.63/46.70 | g(c5, X0) = c3 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c4, X0) = c5 318.63/46.70 | g(c4, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['391'])). 318.63/46.70 tff('2591', plain, (g(c4, s(s(c5))) = c4) <= ((g(c4, s(s(c5))) = c4)), 318.63/46.70 inference('split', [status(esa)], ['393'])). 318.63/46.70 tff('2592', plain, ![X5, X6]: (g(X5, X6) = c2 | g(X5, s(X6)) != c4), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2593', plain, 318.63/46.70 ((c4 != c4 | g(c4, s(c5)) = c2)) <= ((g(c4, s(s(c5))) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['2591', '2592'])). 318.63/46.70 tff('2594', plain, (g(c4, s(c5)) = c2) <= ((g(c4, s(s(c5))) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2593'])). 318.63/46.70 tff('2595', plain, 318.63/46.70 ((c4 = c2 318.63/46.70 | g(c4, c5) = c4 318.63/46.70 | g(c4, c5) = c5 318.63/46.70 | g(c4, c5) = c3 318.63/46.70 | g(c5, c5) = c3)) <= ((g(c4, s(s(c5))) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2590', '2594'])). 318.63/46.70 tff('2596', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('2597', plain, 318.63/46.70 ((g(c4, c5) = c4 | g(c4, c5) = c5 | g(c4, c5) = c3 | g(c5, c5) = c3)) 318.63/46.70 <= ((g(c4, s(s(c5))) = c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2595', '2596'])). 318.63/46.70 tff('2598', plain, 318.63/46.70 (g(c4, c5) = c5) | (g(c4, c5) = c3) | (g(c4, c5) = c4) | 318.63/46.70 (g(c5, c5) = c3) | ~ (g(c4, s(s(c5))) = c4), 318.63/46.70 inference('split', [status(esa)], ['2597'])). 318.63/46.70 tff('2599', plain, (g(c4, c5) = c4) <= ((g(c4, c5) = c4)), 318.63/46.70 inference('split', [status(esa)], ['425'])). 318.63/46.70 tff('2600', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2601', plain, 318.63/46.70 ((c4 != c5 | zip_tseitin_2(c5, c4))) <= ((g(c4, c5) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['2599', '2600'])). 318.63/46.70 tff('2602', plain, ( zip_tseitin_2(c5, c4)) <= (( zip_tseitin_2(c5, c4))), 318.63/46.70 inference('split', [status(esa)], ['2601'])). 318.63/46.70 tff('2603', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2604', plain, 318.63/46.70 (( zip_tseitin_1(c5, c4) | zip_tseitin_0(c5, c4))) 318.63/46.70 <= (( zip_tseitin_2(c5, c4))), 318.63/46.70 inference('sup-', [status(thm)], ['2602', '2603'])). 318.63/46.70 tff('2605', plain, ( zip_tseitin_1(c5, c4)) <= (( zip_tseitin_1(c5, c4))), 318.63/46.70 inference('split', [status(esa)], ['2604'])). 318.63/46.70 tff('2606', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2607', plain, (c4 = c8) <= (( zip_tseitin_1(c5, c4))), 318.63/46.70 inference('sup-', [status(thm)], ['2605', '2606'])). 318.63/46.70 tff('2608', plain, c8 != c4, 318.63/46.70 inference('demod', [status(thm)], ['681', '682'])). 318.63/46.70 tff('2609', plain, ~ ( zip_tseitin_1(c5, c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2607', '2608'])). 318.63/46.70 tff('2610', plain, ( zip_tseitin_0(c5, c4)) <= (( zip_tseitin_0(c5, c4))), 318.63/46.70 inference('split', [status(esa)], ['2604'])). 318.63/46.70 tff('2611', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2612', plain, (c5 = c1) <= (( zip_tseitin_0(c5, c4))), 318.63/46.70 inference('sup-', [status(thm)], ['2610', '2611'])). 318.63/46.70 tff('2613', plain, c1 != c5, 318.63/46.70 inference('demod', [status(thm)], ['129', '130'])). 318.63/46.70 tff('2614', plain, ~ ( zip_tseitin_0(c5, c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2612', '2613'])). 318.63/46.70 tff('2615', plain, (g(c4, c5) = c5) <= ((g(c4, c5) = c5)), 318.63/46.70 inference('split', [status(esa)], ['425'])). 318.63/46.70 tff('2616', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2617', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c5, c4))) <= ((g(c4, c5) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2615', '2616'])). 318.63/46.70 tff('2618', plain, ( zip_tseitin_2(c5, c4)) <= ((g(c4, c5) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['2617'])). 318.63/46.70 tff('2619', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2620', plain, 318.63/46.70 (( zip_tseitin_1(c5, c4) | zip_tseitin_0(c5, c4))) <= ((g(c4, c5) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2618', '2619'])). 318.63/46.70 tff('2621', plain, 318.63/46.70 ~ (g(c4, c5) = c5) | ( zip_tseitin_0(c5, c4)) | ( zip_tseitin_1(c5, c4)), 318.63/46.70 inference('split', [status(esa)], ['2620'])). 318.63/46.70 tff('2622', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c4, s(X0)) = c4 318.63/46.70 | g(c5, X0) = c3 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c4, X0) = c5 318.63/46.70 | g(c4, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['391'])). 318.63/46.70 tff('2623', plain, (g(c5, s(c5)) = c3) <= ((g(c5, s(c5)) = c3)), 318.63/46.70 inference('split', [status(esa)], ['566'])). 318.63/46.70 tff('2624', plain, ![X0]: (g(c5, X0) != c3 | g(c4, X0) = c1), 318.63/46.70 inference('sup-', [status(thm)], ['396', '397'])). 318.63/46.70 tff('2625', plain, ((c3 != c3 | g(c4, s(c5)) = c1)) <= ((g(c5, s(c5)) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['2623', '2624'])). 318.63/46.70 tff('2626', plain, (g(c4, s(c5)) = c1) <= ((g(c5, s(c5)) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2625'])). 318.63/46.70 tff('2627', plain, 318.63/46.70 ((c4 = c1 318.63/46.70 | g(c4, c5) = c4 318.63/46.70 | g(c4, c5) = c5 318.63/46.70 | g(c4, c5) = c3 318.63/46.70 | g(c5, c5) = c3)) <= ((g(c5, s(c5)) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2622', '2626'])). 318.63/46.70 tff('2628', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('2629', plain, 318.63/46.70 ((g(c4, c5) = c4 | g(c4, c5) = c5 | g(c4, c5) = c3 | g(c5, c5) = c3)) 318.63/46.70 <= ((g(c5, s(c5)) = c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2627', '2628'])). 318.63/46.70 tff('2630', plain, 318.63/46.70 (g(c4, c5) = c5) | (g(c4, c5) = c3) | (g(c4, c5) = c4) | 318.63/46.70 (g(c5, c5) = c3) | ~ (g(c5, s(c5)) = c3), 318.63/46.70 inference('split', [status(esa)], ['2629'])). 318.63/46.70 tff('2631', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(s(s(c5)), s(X0)) = c4 318.63/46.70 | g(c8, X0) = c3 318.63/46.70 | g(s(s(c5)), X0) = c3 318.63/46.70 | g(s(s(c5)), X0) = c5 318.63/46.70 | g(s(s(c5)), X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['245'])). 318.63/46.70 tff('2632', plain, 318.63/46.70 (g(s(s(c5)), s(s(c5))) = c3) <= ((g(s(s(c5)), s(s(c5))) = c3)), 318.63/46.70 inference('split', [status(esa)], ['165'])). 318.63/46.70 tff('2633', plain, 318.63/46.70 ((c4 = c3 318.63/46.70 | g(s(s(c5)), s(c5)) = c4 318.63/46.70 | g(s(s(c5)), s(c5)) = c5 318.63/46.70 | g(s(s(c5)), s(c5)) = c3 318.63/46.70 | g(c8, s(c5)) = c3)) <= ((g(s(s(c5)), s(s(c5))) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2631', '2632'])). 318.63/46.70 tff('2634', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('2635', plain, 318.63/46.70 ((g(s(s(c5)), s(c5)) = c4 318.63/46.70 | g(s(s(c5)), s(c5)) = c5 318.63/46.70 | g(s(s(c5)), s(c5)) = c3 318.63/46.70 | g(c8, s(c5)) = c3)) <= ((g(s(s(c5)), s(s(c5))) = c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2633', '2634'])). 318.63/46.70 tff('2636', plain, 318.63/46.70 (g(s(s(c5)), s(c5)) = c3) | ~ (g(s(s(c5)), s(s(c5))) = c3) | 318.63/46.70 (g(s(s(c5)), s(c5)) = c4) | (g(c8, s(c5)) = c3) | 318.63/46.70 (g(s(s(c5)), s(c5)) = c5), inference('split', [status(esa)], ['2635'])). 318.63/46.70 tff('2637', plain, (g(s(c5), s(c5)) = c2) <= ((g(s(c5), s(s(c5))) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['1360'])). 318.63/46.70 tff('2638', plain, (g(s(c5), s(c5)) = c1) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['252'])). 318.63/46.70 tff('2639', plain, 318.63/46.70 (c2 = c1) <= ((g(s(c5), s(s(c5))) = c4) & (g(s(s(c5)), s(c5)) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2637', '2638'])). 318.63/46.70 tff('2640', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2641', plain, ~ (g(s(c5), s(s(c5))) = c4) | ~ (g(s(s(c5)), s(c5)) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2639', '2640'])). 318.63/46.70 tff('2642', plain, 318.63/46.70 (g(s(s(c5)), s(s(c5))) = c4) <= ((g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.70 inference('split', [status(esa)], ['534'])). 318.63/46.70 tff('2643', plain, (g(s(s(c5)), s(s(c5))) = c2) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['1819'])). 318.63/46.70 tff('2644', plain, 318.63/46.70 (c4 = c2) <= ((g(s(s(c5)), c8) = c4) & (g(s(s(c5)), s(s(c5))) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2642', '2643'])). 318.63/46.70 tff('2645', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('2646', plain, ~ (g(s(s(c5)), s(s(c5))) = c4) | ~ (g(s(s(c5)), c8) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2644', '2645'])). 318.63/46.70 tff('2647', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c2, s(X0)) = c4 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c2, X0) = c5 318.63/46.70 | g(c2, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['2574'])). 318.63/46.70 tff('2648', plain, (g(c2, s(c5)) = c1) <= ((g(c3, s(c5)) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2569'])). 318.63/46.70 tff('2649', plain, 318.63/46.70 ((c4 = c1 318.63/46.70 | g(c2, c5) = c4 318.63/46.70 | g(c2, c5) = c5 318.63/46.70 | g(c2, c5) = c3 318.63/46.70 | g(c3, c5) = c3)) <= ((g(c3, s(c5)) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2647', '2648'])). 318.63/46.70 tff('2650', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('2651', plain, 318.63/46.70 ((g(c2, c5) = c4 | g(c2, c5) = c5 | g(c2, c5) = c3 | g(c3, c5) = c3)) 318.63/46.70 <= ((g(c3, s(c5)) = c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2649', '2650'])). 318.63/46.70 tff('2652', plain, 318.63/46.70 (g(c2, c5) = c5) | (g(c2, c5) = c3) | (g(c2, c5) = c4) | 318.63/46.70 (g(c3, c5) = c3) | ~ (g(c3, s(c5)) = c3), 318.63/46.70 inference('split', [status(esa)], ['2651'])). 318.63/46.70 tff('2653', plain, (g(c4, s(c5)) = c2) <= ((g(c4, s(s(c5))) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2593'])). 318.63/46.70 tff('2654', plain, (g(c4, s(c5)) = c1) <= ((g(c5, s(c5)) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2625'])). 318.63/46.70 tff('2655', plain, 318.63/46.70 (c2 = c1) <= ((g(c4, s(s(c5))) = c4) & (g(c5, s(c5)) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2653', '2654'])). 318.63/46.70 tff('2656', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2657', plain, ~ (g(c4, s(s(c5))) = c4) | ~ (g(c5, s(c5)) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2655', '2656'])). 318.63/46.70 tff('2658', plain, (g(s(c5), c8) = c3) <= ((g(s(c5), c8) = c3)), 318.63/46.70 inference('split', [status(esa)], ['78'])). 318.63/46.70 tff('2659', plain, (g(s(c5), c8) = c4) <= ((g(s(c5), s(s(c5))) = c2)), 318.63/46.70 inference('simplify', [status(thm)], ['2344'])). 318.63/46.70 tff('2660', plain, 318.63/46.70 (c3 = c4) <= ((g(s(c5), c8) = c3) & (g(s(c5), s(s(c5))) = c2)), 318.63/46.70 inference('sup+', [status(thm)], ['2658', '2659'])). 318.63/46.70 tff('2661', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('2662', plain, ~ (g(s(c5), s(s(c5))) = c2) | ~ (g(s(c5), c8) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2660', '2661'])). 318.63/46.70 tff('2663', plain, (g(c5, s(s(c5))) = c3) <= ((g(c5, s(s(c5))) = c3)), 318.63/46.70 inference('split', [status(esa)], ['393'])). 318.63/46.70 tff('2664', plain, (g(c5, s(s(c5))) = c1) <= ((g(s(c5), s(s(c5))) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2554'])). 318.63/46.70 tff('2665', plain, 318.63/46.70 (c3 = c1) <= ((g(s(c5), s(s(c5))) = c3) & (g(c5, s(s(c5))) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2663', '2664'])). 318.63/46.70 tff('2666', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('2667', plain, ~ (g(c5, s(s(c5))) = c3) | ~ (g(s(c5), s(s(c5))) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2665', '2666'])). 318.63/46.70 tff('2668', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(s(c5), s(X0)) = c3 318.63/46.70 | g(s(c5), s(X0)) = c5 318.63/46.70 | g(s(c5), s(X0)) = c4 318.63/46.70 | g(s(c5), s(X0)) = c2 318.63/46.70 | g(s(s(c5)), X0) = c4 318.63/46.70 | g(s(s(c5)), X0) = c5 318.63/46.70 | g(s(s(c5)), X0) = c3 318.63/46.70 | g(c8, X0) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['373', '374'])). 318.63/46.70 tff('2669', plain, (g(s(s(c5)), s(s(c5))) = c2) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['1819'])). 318.63/46.70 tff('2670', plain, 318.63/46.70 ((c3 = c2 318.63/46.70 | g(c8, s(s(c5))) = c3 318.63/46.70 | g(s(s(c5)), s(s(c5))) = c5 318.63/46.70 | g(s(s(c5)), s(s(c5))) = c4 318.63/46.70 | g(s(c5), s(s(s(c5)))) = c2 318.63/46.70 | g(s(c5), s(s(s(c5)))) = c4 318.63/46.70 | g(s(c5), s(s(s(c5)))) = c5 318.63/46.70 | g(s(c5), s(s(s(c5)))) = c3)) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2668', '2669'])). 318.63/46.70 tff('2671', plain, (g(s(s(c5)), s(s(c5))) = c2) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['1819'])). 318.63/46.70 tff('2672', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('2673', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('2674', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('2675', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('2676', plain, 318.63/46.70 ((c3 = c2 318.63/46.70 | g(c8, s(s(c5))) = c3 318.63/46.70 | c2 = c5 318.63/46.70 | g(s(s(c5)), s(s(c5))) = c4 318.63/46.70 | g(s(c5), c8) = c2 318.63/46.70 | g(s(c5), c8) = c4 318.63/46.70 | g(s(c5), c8) = c5 318.63/46.70 | g(s(c5), c8) = c3)) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.70 inference('demod', [status(thm)], 318.63/46.70 ['2670', '2671', '2672', '2673', '2674', '2675'])). 318.63/46.70 tff('2677', plain, ![X10]: g(X10, c8) != c2, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2678', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.70 tff('2679', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('2680', plain, 318.63/46.70 ((g(c8, s(s(c5))) = c3 318.63/46.70 | g(s(s(c5)), s(s(c5))) = c4 318.63/46.70 | g(s(c5), c8) = c4 318.63/46.70 | g(s(c5), c8) = c5 318.63/46.70 | g(s(c5), c8) = c3)) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], 318.63/46.70 ['2676', '2677', '2678', '2679'])). 318.63/46.70 tff('2681', plain, 318.63/46.70 ~ (g(s(s(c5)), c8) = c4) | (g(s(c5), c8) = c3) | (g(s(c5), c8) = c4) | 318.63/46.70 (g(s(c5), c8) = c5) | (g(c8, s(s(c5))) = c3) | 318.63/46.70 (g(s(s(c5)), s(s(c5))) = c4), inference('split', [status(esa)], ['2680'])). 318.63/46.70 tff('2682', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2683', plain, (g(s(c5), c8) = c4) <= ((g(s(c5), c8) = c4)), 318.63/46.70 inference('split', [status(esa)], ['78'])). 318.63/46.70 tff('2684', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2685', plain, 318.63/46.70 ((c4 != c5 | zip_tseitin_2(c8, s(c5)))) <= ((g(s(c5), c8) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['2683', '2684'])). 318.63/46.70 tff('2686', plain, 318.63/46.70 ( zip_tseitin_2(c8, s(c5))) <= (( zip_tseitin_2(c8, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['2685'])). 318.63/46.70 tff('2687', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2688', plain, 318.63/46.70 (( zip_tseitin_1(c8, s(c5)) | zip_tseitin_0(c8, s(c5)))) 318.63/46.70 <= (( zip_tseitin_2(c8, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['2686', '2687'])). 318.63/46.70 tff('2689', plain, 318.63/46.70 ( zip_tseitin_0(c8, s(c5))) <= (( zip_tseitin_0(c8, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['2688'])). 318.63/46.70 tff('2690', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2691', plain, (c8 = c1) <= (( zip_tseitin_0(c8, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['2689', '2690'])). 318.63/46.70 tff('2692', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2693', plain, (c1 = s(c1)) <= (( zip_tseitin_0(c8, s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['2691', '2692'])). 318.63/46.70 tff('2694', plain, (c1 = c2) <= (( zip_tseitin_0(c8, s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['2682', '2693'])). 318.63/46.70 tff('2695', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2696', plain, ~ ( zip_tseitin_0(c8, s(c5))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2694', '2695'])). 318.63/46.70 tff('2697', plain, 318.63/46.70 ( zip_tseitin_1(c8, s(c5))) <= (( zip_tseitin_1(c8, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['2688'])). 318.63/46.70 tff('2698', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2699', plain, (s(c5) = c8) <= (( zip_tseitin_1(c8, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['2697', '2698'])). 318.63/46.70 tff('2700', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('2701', plain, (s(s(c8)) = c8) <= (( zip_tseitin_1(c8, s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['2699', '2700'])). 318.63/46.70 tff('2702', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2703', plain, (s(c1) = c8) <= (( zip_tseitin_1(c8, s(c5)))), 318.63/46.70 inference('demod', [status(thm)], ['2701', '2702'])). 318.63/46.70 tff('2704', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2705', plain, (s(s(s(c8))) != c1) <= (( zip_tseitin_1(c8, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['2703', '2704'])). 318.63/46.70 tff('2706', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2707', plain, (s(c1) = c8) <= (( zip_tseitin_1(c8, s(c5)))), 318.63/46.70 inference('demod', [status(thm)], ['2701', '2702'])). 318.63/46.70 tff('2708', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2709', plain, (c1 != c1) <= (( zip_tseitin_1(c8, s(c5)))), 318.63/46.70 inference('demod', [status(thm)], ['2705', '2706', '2707', '2708'])). 318.63/46.70 tff('2710', plain, ~ ( zip_tseitin_1(c8, s(c5))), 318.63/46.70 inference('simplify', [status(thm)], ['2709'])). 318.63/46.70 tff('2711', plain, (g(s(c5), c8) = c5) <= ((g(s(c5), c8) = c5)), 318.63/46.70 inference('split', [status(esa)], ['78'])). 318.63/46.70 tff('2712', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2713', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c8, s(c5)))) <= ((g(s(c5), c8) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2711', '2712'])). 318.63/46.70 tff('2714', plain, ( zip_tseitin_2(c8, s(c5))) <= ((g(s(c5), c8) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['2713'])). 318.63/46.70 tff('2715', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2716', plain, 318.63/46.70 (( zip_tseitin_1(c8, s(c5)) | zip_tseitin_0(c8, s(c5)))) 318.63/46.70 <= ((g(s(c5), c8) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2714', '2715'])). 318.63/46.70 tff('2717', plain, 318.63/46.70 ~ (g(s(c5), c8) = c5) | ( zip_tseitin_1(c8, s(c5))) | 318.63/46.70 ( zip_tseitin_0(c8, s(c5))), inference('split', [status(esa)], ['2716'])). 318.63/46.70 tff('2718', plain, 318.63/46.70 ~ (g(s(c5), c8) = c4) | (g(c5, c8) = c3) | (g(c5, c8) = c4) | 318.63/46.70 (g(c5, c8) = c5), inference('split', [status(esa)], ['2547'])). 318.63/46.70 tff('2719', plain, (g(c5, s(s(c5))) = c3) <= ((g(c5, s(s(c5))) = c3)), 318.63/46.70 inference('split', [status(esa)], ['393'])). 318.63/46.70 tff('2720', plain, (g(c5, s(s(c5))) = c2) <= ((g(c5, c8) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2550'])). 318.63/46.70 tff('2721', plain, (c3 = c2) <= ((g(c5, c8) = c4) & (g(c5, s(s(c5))) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2719', '2720'])). 318.63/46.70 tff('2722', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('2723', plain, ~ (g(c5, c8) = c4) | ~ (g(c5, s(s(c5))) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2721', '2722'])). 318.63/46.70 tff('2724', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c5, X0) = c3 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c4, X0) = c5 318.63/46.70 | g(c4, X0) = c4 318.63/46.70 | g(c4, X0) = c2), 318.63/46.70 inference('sup+', [status(thm)], ['257', '258'])). 318.63/46.70 tff('2725', plain, ![X10]: g(X10, c8) != c2, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2726', plain, 318.63/46.70 (c2 != c2 318.63/46.70 | g(c4, c8) = c4 318.63/46.70 | g(c4, c8) = c5 318.63/46.70 | g(c4, c8) = c3 318.63/46.70 | g(c5, c8) = c3), 318.63/46.70 inference('sup-', [status(thm)], ['2724', '2725'])). 318.63/46.70 tff('2727', plain, 318.63/46.70 (g(c5, c8) = c3 | g(c4, c8) = c3 | g(c4, c8) = c5 | g(c4, c8) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['2726'])). 318.63/46.70 tff('2728', plain, (g(c4, c8) = c4) <= ((g(c4, c8) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2727'])). 318.63/46.70 tff('2729', plain, (g(c4, c8) = c3) <= ((g(c4, c8) = c3)), 318.63/46.70 inference('split', [status(esa)], ['2727'])). 318.63/46.70 tff('2730', plain, (c4 = c3) <= ((g(c4, c8) = c4) & (g(c4, c8) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2728', '2729'])). 318.63/46.70 tff('2731', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('2732', plain, ~ (g(c4, c8) = c4) | ~ (g(c4, c8) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2730', '2731'])). 318.63/46.70 tff('2733', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c3, s(X0)) = c4 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c3, X0) = c5 318.63/46.70 | g(c3, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['8'])). 318.63/46.70 tff('2734', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c4, X0) = c3 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c3, X0) = c5 318.63/46.70 | g(c3, X0) = c4 318.63/46.70 | g(c3, X0) = c2), 318.63/46.70 inference('sup+', [status(thm)], ['1', '5'])). 318.63/46.70 tff('2735', plain, ![X10]: g(X10, c8) != c2, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2736', plain, 318.63/46.70 (c2 != c2 318.63/46.70 | g(c3, c8) = c4 318.63/46.70 | g(c3, c8) = c5 318.63/46.70 | g(c3, c8) = c3 318.63/46.70 | g(c4, c8) = c3), 318.63/46.70 inference('sup-', [status(thm)], ['2734', '2735'])). 318.63/46.70 tff('2737', plain, 318.63/46.70 (g(c4, c8) = c3 | g(c3, c8) = c3 | g(c3, c8) = c5 | g(c3, c8) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['2736'])). 318.63/46.70 tff('2738', plain, (g(c3, c8) = c4) <= ((g(c3, c8) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2737'])). 318.63/46.70 tff('2739', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.70 tff('2740', plain, ((c4 != c4 | g(c3, s(s(c5))) = c2)) <= ((g(c3, c8) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['2738', '2739'])). 318.63/46.70 tff('2741', plain, (g(c3, s(s(c5))) = c2) <= ((g(c3, c8) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2740'])). 318.63/46.70 tff('2742', plain, 318.63/46.70 ((c4 = c2 318.63/46.70 | g(c3, s(c5)) = c4 318.63/46.70 | g(c3, s(c5)) = c5 318.63/46.70 | g(c3, s(c5)) = c3 318.63/46.70 | g(c4, s(c5)) = c3)) <= ((g(c3, c8) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2733', '2741'])). 318.63/46.70 tff('2743', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('2744', plain, 318.63/46.70 ((g(c3, s(c5)) = c4 318.63/46.70 | g(c3, s(c5)) = c5 318.63/46.70 | g(c3, s(c5)) = c3 318.63/46.70 | g(c4, s(c5)) = c3)) <= ((g(c3, c8) = c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2742', '2743'])). 318.63/46.70 tff('2745', plain, 318.63/46.70 ~ (g(c3, c8) = c4) | (g(c3, s(c5)) = c3) | (g(c3, s(c5)) = c4) | 318.63/46.70 (g(c4, s(c5)) = c3) | (g(c3, s(c5)) = c5), 318.63/46.70 inference('split', [status(esa)], ['2744'])). 318.63/46.70 tff('2746', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c3, s(X0)) = c4 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c3, X0) = c5 318.63/46.70 | g(c3, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['8'])). 318.63/46.70 tff('2747', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('2748', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c3, s(X0)) = c4 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c3, X0) = c5 318.63/46.70 | g(c3, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['8'])). 318.63/46.70 tff('2749', plain, 318.63/46.70 (g(c3, c8) = c4 318.63/46.70 | g(c3, s(s(c5))) = c4 318.63/46.70 | g(c3, s(s(c5))) = c5 318.63/46.70 | g(c3, s(s(c5))) = c3 318.63/46.70 | g(c4, s(s(c5))) = c3), 318.63/46.70 inference('sup+', [status(thm)], ['2747', '2748'])). 318.63/46.70 tff('2750', plain, (g(c3, s(s(c5))) = c3) <= ((g(c3, s(s(c5))) = c3)), 318.63/46.70 inference('split', [status(esa)], ['2749'])). 318.63/46.70 tff('2751', plain, 318.63/46.70 ((c4 = c3 318.63/46.70 | g(c3, s(c5)) = c4 318.63/46.70 | g(c3, s(c5)) = c5 318.63/46.70 | g(c3, s(c5)) = c3 318.63/46.70 | g(c4, s(c5)) = c3)) <= ((g(c3, s(s(c5))) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2746', '2750'])). 318.63/46.70 tff('2752', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('2753', plain, 318.63/46.70 ((g(c3, s(c5)) = c4 318.63/46.70 | g(c3, s(c5)) = c5 318.63/46.70 | g(c3, s(c5)) = c3 318.63/46.70 | g(c4, s(c5)) = c3)) <= ((g(c3, s(s(c5))) = c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2751', '2752'])). 318.63/46.70 tff('2754', plain, 318.63/46.70 ~ (g(c3, s(s(c5))) = c3) | (g(c3, s(c5)) = c3) | (g(c3, s(c5)) = c4) | 318.63/46.70 (g(c3, s(c5)) = c5) | (g(c4, s(c5)) = c3), 318.63/46.70 inference('split', [status(esa)], ['2753'])). 318.63/46.70 tff('2755', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c3, s(X0)) = c4 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c3, X0) = c5 318.63/46.70 | g(c3, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['8'])). 318.63/46.70 tff('2756', plain, (g(c4, s(s(c5))) = c3) <= ((g(c4, s(s(c5))) = c3)), 318.63/46.70 inference('split', [status(esa)], ['393'])). 318.63/46.70 tff('2757', plain, ![X0]: (g(c4, X0) != c3 | g(c3, X0) = c1), 318.63/46.70 inference('sup-', [status(thm)], ['945', '946'])). 318.63/46.70 tff('2758', plain, 318.63/46.70 ((c3 != c3 | g(c3, s(s(c5))) = c1)) <= ((g(c4, s(s(c5))) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['2756', '2757'])). 318.63/46.70 tff('2759', plain, (g(c3, s(s(c5))) = c1) <= ((g(c4, s(s(c5))) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2758'])). 318.63/46.70 tff('2760', plain, 318.63/46.70 ((c4 = c1 318.63/46.70 | g(c3, s(c5)) = c4 318.63/46.70 | g(c3, s(c5)) = c5 318.63/46.70 | g(c3, s(c5)) = c3 318.63/46.70 | g(c4, s(c5)) = c3)) <= ((g(c4, s(s(c5))) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2755', '2759'])). 318.63/46.70 tff('2761', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('2762', plain, 318.63/46.70 ((g(c3, s(c5)) = c4 318.63/46.70 | g(c3, s(c5)) = c5 318.63/46.70 | g(c3, s(c5)) = c3 318.63/46.70 | g(c4, s(c5)) = c3)) <= ((g(c4, s(s(c5))) = c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2760', '2761'])). 318.63/46.70 tff('2763', plain, 318.63/46.70 (g(c3, s(c5)) = c3) | (g(c3, s(c5)) = c4) | (g(c4, s(c5)) = c3) | 318.63/46.70 ~ (g(c4, s(s(c5))) = c3) | (g(c3, s(c5)) = c5), 318.63/46.70 inference('split', [status(esa)], ['2762'])). 318.63/46.70 tff('2764', plain, (g(c3, s(c5)) = c4) <= ((g(c3, s(c5)) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2305'])). 318.63/46.70 tff('2765', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2766', plain, 318.63/46.70 ((c4 != c5 | zip_tseitin_2(s(c5), c3))) <= ((g(c3, s(c5)) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['2764', '2765'])). 318.63/46.70 tff('2767', plain, 318.63/46.70 ( zip_tseitin_2(s(c5), c3)) <= (( zip_tseitin_2(s(c5), c3))), 318.63/46.70 inference('split', [status(esa)], ['2766'])). 318.63/46.70 tff('2768', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2769', plain, 318.63/46.70 (( zip_tseitin_1(s(c5), c3) | zip_tseitin_0(s(c5), c3))) 318.63/46.70 <= (( zip_tseitin_2(s(c5), c3))), 318.63/46.70 inference('sup-', [status(thm)], ['2767', '2768'])). 318.63/46.70 tff('2770', plain, 318.63/46.70 ( zip_tseitin_0(s(c5), c3)) <= (( zip_tseitin_0(s(c5), c3))), 318.63/46.70 inference('split', [status(esa)], ['2769'])). 318.63/46.70 tff('2771', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2772', plain, (c3 = c1) <= (( zip_tseitin_0(s(c5), c3))), 318.63/46.70 inference('sup-', [status(thm)], ['2770', '2771'])). 318.63/46.70 tff('2773', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('2774', plain, ~ ( zip_tseitin_0(s(c5), c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2772', '2773'])). 318.63/46.70 tff('2775', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2776', plain, 318.63/46.70 ( zip_tseitin_1(s(c5), c3)) <= (( zip_tseitin_1(s(c5), c3))), 318.63/46.70 inference('split', [status(esa)], ['2769'])). 318.63/46.70 tff('2777', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2778', plain, (c3 = c8) <= (( zip_tseitin_1(s(c5), c3))), 318.63/46.70 inference('sup-', [status(thm)], ['2776', '2777'])). 318.63/46.70 tff('2779', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2780', plain, (c1 = s(c3)) <= (( zip_tseitin_1(s(c5), c3))), 318.63/46.70 inference('sup+', [status(thm)], ['2778', '2779'])). 318.63/46.70 tff('2781', plain, (c1 = c4) <= (( zip_tseitin_1(s(c5), c3))), 318.63/46.70 inference('sup+', [status(thm)], ['2775', '2780'])). 318.63/46.70 tff('2782', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('2783', plain, ~ ( zip_tseitin_1(s(c5), c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2781', '2782'])). 318.63/46.70 tff('2784', plain, (g(c3, s(c5)) = c5) <= ((g(c3, s(c5)) = c5)), 318.63/46.70 inference('split', [status(esa)], ['2566'])). 318.63/46.70 tff('2785', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2786', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(s(c5), c3))) <= ((g(c3, s(c5)) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2784', '2785'])). 318.63/46.70 tff('2787', plain, ( zip_tseitin_2(s(c5), c3)) <= ((g(c3, s(c5)) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['2786'])). 318.63/46.70 tff('2788', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2789', plain, 318.63/46.70 (( zip_tseitin_1(s(c5), c3) | zip_tseitin_0(s(c5), c3))) 318.63/46.70 <= ((g(c3, s(c5)) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2787', '2788'])). 318.63/46.70 tff('2790', plain, 318.63/46.70 ~ (g(c3, s(c5)) = c5) | ( zip_tseitin_1(s(c5), c3)) | 318.63/46.70 ( zip_tseitin_0(s(c5), c3)), inference('split', [status(esa)], ['2789'])). 318.63/46.70 tff('2791', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2792', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('2793', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c2, X0) = c3 318.63/46.70 | g(c1, X0) = c3 318.63/46.70 | g(c1, X0) = c5 318.63/46.70 | g(c1, X0) = c4 318.63/46.70 | g(c1, X0) = c2), 318.63/46.70 inference('sup+', [status(thm)], ['2791', '2792'])). 318.63/46.70 tff('2794', plain, ![X11]: g(c1, X11) != c3, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2795', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c2, X0) = c3 | g(c1, X0) = c5 | g(c1, X0) = c4 | g(c1, X0) = c2), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2793', '2794'])). 318.63/46.70 tff('2796', plain, ![X10]: g(X10, c8) != c2, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2797', plain, 318.63/46.70 (c2 != c2 | g(c1, c8) = c4 | g(c1, c8) = c5 | g(c2, c8) = c3), 318.63/46.70 inference('sup-', [status(thm)], ['2795', '2796'])). 318.63/46.70 tff('2798', plain, (g(c2, c8) = c3 | g(c1, c8) = c5 | g(c1, c8) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['2797'])). 318.63/46.70 tff('2799', plain, (g(c1, c8) = c4) | (g(c2, c8) = c3) | (g(c1, c8) = c5), 318.63/46.70 inference('split', [status(esa)], ['2798'])). 318.63/46.70 tff('2800', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2801', plain, (g(c1, c8) = c4) <= ((g(c1, c8) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2798'])). 318.63/46.70 tff('2802', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2803', plain, 318.63/46.70 ((c4 != c5 | zip_tseitin_2(c8, c1))) <= ((g(c1, c8) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['2801', '2802'])). 318.63/46.70 tff('2804', plain, ( zip_tseitin_2(c8, c1)) <= (( zip_tseitin_2(c8, c1))), 318.63/46.70 inference('split', [status(esa)], ['2803'])). 318.63/46.70 tff('2805', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2806', plain, 318.63/46.70 (( zip_tseitin_1(c8, c1) | zip_tseitin_0(c8, c1))) 318.63/46.70 <= (( zip_tseitin_2(c8, c1))), 318.63/46.70 inference('sup-', [status(thm)], ['2804', '2805'])). 318.63/46.70 tff('2807', plain, ( zip_tseitin_0(c8, c1)) <= (( zip_tseitin_0(c8, c1))), 318.63/46.70 inference('split', [status(esa)], ['2806'])). 318.63/46.70 tff('2808', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2809', plain, (c8 = c1) <= (( zip_tseitin_0(c8, c1))), 318.63/46.70 inference('sup-', [status(thm)], ['2807', '2808'])). 318.63/46.70 tff('2810', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2811', plain, (c1 = s(c1)) <= (( zip_tseitin_0(c8, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['2809', '2810'])). 318.63/46.70 tff('2812', plain, (c1 = c2) <= (( zip_tseitin_0(c8, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['2800', '2811'])). 318.63/46.70 tff('2813', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2814', plain, ~ ( zip_tseitin_0(c8, c1)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2812', '2813'])). 318.63/46.70 tff('2815', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2816', plain, ( zip_tseitin_1(c8, c1)) <= (( zip_tseitin_1(c8, c1))), 318.63/46.70 inference('split', [status(esa)], ['2806'])). 318.63/46.70 tff('2817', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2818', plain, (c1 = c8) <= (( zip_tseitin_1(c8, c1))), 318.63/46.70 inference('sup-', [status(thm)], ['2816', '2817'])). 318.63/46.70 tff('2819', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2820', plain, (c1 = s(c1)) <= (( zip_tseitin_1(c8, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['2818', '2819'])). 318.63/46.70 tff('2821', plain, (c1 = c2) <= (( zip_tseitin_1(c8, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['2815', '2820'])). 318.63/46.70 tff('2822', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2823', plain, ~ ( zip_tseitin_1(c8, c1)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2821', '2822'])). 318.63/46.70 tff('2824', plain, (g(c1, c8) = c5) <= ((g(c1, c8) = c5)), 318.63/46.70 inference('split', [status(esa)], ['2798'])). 318.63/46.70 tff('2825', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2826', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c8, c1))) <= ((g(c1, c8) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2824', '2825'])). 318.63/46.70 tff('2827', plain, ( zip_tseitin_2(c8, c1)) <= ((g(c1, c8) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['2826'])). 318.63/46.70 tff('2828', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2829', plain, 318.63/46.70 (( zip_tseitin_1(c8, c1) | zip_tseitin_0(c8, c1))) <= ((g(c1, c8) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2827', '2828'])). 318.63/46.70 tff('2830', plain, 318.63/46.70 ~ (g(c1, c8) = c5) | ( zip_tseitin_1(c8, c1)) | ( zip_tseitin_0(c8, c1)), 318.63/46.70 inference('split', [status(esa)], ['2829'])). 318.63/46.70 tff('2831', plain, 318.63/46.70 (g(c2, c8) = c4) | (g(c2, s(s(c5))) = c3) | (g(c2, s(s(c5))) = c5) | 318.63/46.70 (g(c2, s(s(c5))) = c4) | (g(c3, s(s(c5))) = c3), 318.63/46.70 inference('split', [status(esa)], ['2576'])). 318.63/46.70 tff('2832', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c3, X0) = c3 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c2, X0) = c5 318.63/46.70 | g(c2, X0) = c4 318.63/46.70 | g(c2, X0) = c2), 318.63/46.70 inference('sup+', [status(thm)], ['304', '305'])). 318.63/46.70 tff('2833', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.70 tff('2834', plain, 318.63/46.70 (c2 != c4 318.63/46.70 | g(c2, c8) = c4 318.63/46.70 | g(c2, c8) = c5 318.63/46.70 | g(c2, c8) = c3 318.63/46.70 | g(c3, c8) = c3 318.63/46.70 | g(c2, s(s(c5))) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['2832', '2833'])). 318.63/46.70 tff('2835', plain, (g(c2, s(s(c5))) = c2) <= ((g(c2, s(s(c5))) = c2)), 318.63/46.70 inference('split', [status(esa)], ['2834'])). 318.63/46.70 tff('2836', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2837', plain, 318.63/46.70 ((c2 != c5 | zip_tseitin_2(s(s(c5)), c2))) <= ((g(c2, s(s(c5))) = c2)), 318.63/46.70 inference('sup-', [status(thm)], ['2835', '2836'])). 318.63/46.70 tff('2838', plain, 318.63/46.70 ( zip_tseitin_2(s(s(c5)), c2)) <= (( zip_tseitin_2(s(s(c5)), c2))), 318.63/46.70 inference('split', [status(esa)], ['2837'])). 318.63/46.70 tff('2839', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2840', plain, 318.63/46.70 (( zip_tseitin_1(s(s(c5)), c2) | zip_tseitin_0(s(s(c5)), c2))) 318.63/46.70 <= (( zip_tseitin_2(s(s(c5)), c2))), 318.63/46.70 inference('sup-', [status(thm)], ['2838', '2839'])). 318.63/46.70 tff('2841', plain, 318.63/46.70 ( zip_tseitin_0(s(s(c5)), c2)) <= (( zip_tseitin_0(s(s(c5)), c2))), 318.63/46.70 inference('split', [status(esa)], ['2840'])). 318.63/46.70 tff('2842', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2843', plain, (c2 = c1) <= (( zip_tseitin_0(s(s(c5)), c2))), 318.63/46.70 inference('sup-', [status(thm)], ['2841', '2842'])). 318.63/46.70 tff('2844', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2845', plain, ~ ( zip_tseitin_0(s(s(c5)), c2)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2843', '2844'])). 318.63/46.70 tff('2846', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2847', plain, 318.63/46.70 ( zip_tseitin_1(s(s(c5)), c2)) <= (( zip_tseitin_1(s(s(c5)), c2))), 318.63/46.70 inference('split', [status(esa)], ['2840'])). 318.63/46.70 tff('2848', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2849', plain, (c2 = c8) <= (( zip_tseitin_1(s(s(c5)), c2))), 318.63/46.70 inference('sup-', [status(thm)], ['2847', '2848'])). 318.63/46.70 tff('2850', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2851', plain, (c1 = s(c2)) <= (( zip_tseitin_1(s(s(c5)), c2))), 318.63/46.70 inference('sup+', [status(thm)], ['2849', '2850'])). 318.63/46.70 tff('2852', plain, (c1 = c3) <= (( zip_tseitin_1(s(s(c5)), c2))), 318.63/46.70 inference('sup+', [status(thm)], ['2846', '2851'])). 318.63/46.70 tff('2853', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('2854', plain, ~ ( zip_tseitin_1(s(s(c5)), c2)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2852', '2853'])). 318.63/46.70 tff('2855', plain, (g(c2, s(s(c5))) = c5) <= ((g(c2, s(s(c5))) = c5)), 318.63/46.70 inference('split', [status(esa)], ['2576'])). 318.63/46.70 tff('2856', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2857', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(s(s(c5)), c2))) <= ((g(c2, s(s(c5))) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2855', '2856'])). 318.63/46.70 tff('2858', plain, 318.63/46.70 ( zip_tseitin_2(s(s(c5)), c2)) <= ((g(c2, s(s(c5))) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['2857'])). 318.63/46.70 tff('2859', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2860', plain, 318.63/46.70 (( zip_tseitin_1(s(s(c5)), c2) | zip_tseitin_0(s(s(c5)), c2))) 318.63/46.70 <= ((g(c2, s(s(c5))) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2858', '2859'])). 318.63/46.70 tff('2861', plain, 318.63/46.70 ~ (g(c2, s(s(c5))) = c5) | ( zip_tseitin_1(s(s(c5)), c2)) | 318.63/46.70 ( zip_tseitin_0(s(s(c5)), c2)), 318.63/46.70 inference('split', [status(esa)], ['2860'])). 318.63/46.70 tff('2862', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c3, X0) = c3 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c2, X0) = c5 318.63/46.70 | g(c2, X0) = c4 318.63/46.70 | g(c2, X0) = c2), 318.63/46.70 inference('sup+', [status(thm)], ['304', '305'])). 318.63/46.70 tff('2863', plain, ![X10]: g(X10, c8) != c2, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2864', plain, 318.63/46.70 (c2 != c2 318.63/46.70 | g(c2, c8) = c4 318.63/46.70 | g(c2, c8) = c5 318.63/46.70 | g(c2, c8) = c3 318.63/46.70 | g(c3, c8) = c3), 318.63/46.70 inference('sup-', [status(thm)], ['2862', '2863'])). 318.63/46.70 tff('2865', plain, 318.63/46.70 (g(c3, c8) = c3 | g(c2, c8) = c3 | g(c2, c8) = c5 | g(c2, c8) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['2864'])). 318.63/46.70 tff('2866', plain, (g(c2, c8) = c3) <= ((g(c2, c8) = c3)), 318.63/46.70 inference('split', [status(esa)], ['2865'])). 318.63/46.70 tff('2867', plain, (g(c3, c8) = c3) <= ((g(c3, c8) = c3)), 318.63/46.70 inference('split', [status(esa)], ['2737'])). 318.63/46.70 tff('2868', plain, ![X0]: (g(c3, X0) != c3 | g(c2, X0) = c1), 318.63/46.70 inference('sup-', [status(thm)], ['133', '134'])). 318.63/46.70 tff('2869', plain, ((c3 != c3 | g(c2, c8) = c1)) <= ((g(c3, c8) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['2867', '2868'])). 318.63/46.70 tff('2870', plain, (g(c2, c8) = c1) <= ((g(c3, c8) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2869'])). 318.63/46.70 tff('2871', plain, (c3 = c1) <= ((g(c3, c8) = c3) & (g(c2, c8) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2866', '2870'])). 318.63/46.70 tff('2872', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('2873', plain, ~ (g(c2, c8) = c3) | ~ (g(c3, c8) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2871', '2872'])). 318.63/46.70 tff('2874', plain, (g(c2, c8) = c4) <= ((g(c2, c8) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2865'])). 318.63/46.70 tff('2875', plain, (g(c2, c8) = c1) <= ((g(c3, c8) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2869'])). 318.63/46.70 tff('2876', plain, (c4 = c1) <= ((g(c3, c8) = c3) & (g(c2, c8) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2874', '2875'])). 318.63/46.70 tff('2877', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('2878', plain, ~ (g(c2, c8) = c4) | ~ (g(c3, c8) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2876', '2877'])). 318.63/46.70 tff('2879', plain, 318.63/46.70 (g(c3, c8) = c3) | (g(c3, c8) = c4) | (g(c3, c8) = c5) | (g(c4, c8) = c3), 318.63/46.70 inference('split', [status(esa)], ['2737'])). 318.63/46.70 tff('2880', plain, (g(c3, c8) = c4) <= ((g(c3, c8) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2737'])). 318.63/46.70 tff('2881', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2882', plain, 318.63/46.70 ((c4 != c5 | zip_tseitin_2(c8, c3))) <= ((g(c3, c8) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['2880', '2881'])). 318.63/46.70 tff('2883', plain, ( zip_tseitin_2(c8, c3)) <= (( zip_tseitin_2(c8, c3))), 318.63/46.70 inference('split', [status(esa)], ['2882'])). 318.63/46.70 tff('2884', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2885', plain, 318.63/46.70 (( zip_tseitin_1(c8, c3) | zip_tseitin_0(c8, c3))) 318.63/46.70 <= (( zip_tseitin_2(c8, c3))), 318.63/46.70 inference('sup-', [status(thm)], ['2883', '2884'])). 318.63/46.70 tff('2886', plain, ( zip_tseitin_0(c8, c3)) <= (( zip_tseitin_0(c8, c3))), 318.63/46.70 inference('split', [status(esa)], ['2885'])). 318.63/46.70 tff('2887', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2888', plain, (c3 = c1) <= (( zip_tseitin_0(c8, c3))), 318.63/46.70 inference('sup-', [status(thm)], ['2886', '2887'])). 318.63/46.70 tff('2889', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('2890', plain, ~ ( zip_tseitin_0(c8, c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2888', '2889'])). 318.63/46.70 tff('2891', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2892', plain, ( zip_tseitin_1(c8, c3)) <= (( zip_tseitin_1(c8, c3))), 318.63/46.70 inference('split', [status(esa)], ['2885'])). 318.63/46.70 tff('2893', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2894', plain, (c3 = c8) <= (( zip_tseitin_1(c8, c3))), 318.63/46.70 inference('sup-', [status(thm)], ['2892', '2893'])). 318.63/46.70 tff('2895', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2896', plain, (c1 = s(c3)) <= (( zip_tseitin_1(c8, c3))), 318.63/46.70 inference('sup+', [status(thm)], ['2894', '2895'])). 318.63/46.70 tff('2897', plain, (c1 = c4) <= (( zip_tseitin_1(c8, c3))), 318.63/46.70 inference('sup+', [status(thm)], ['2891', '2896'])). 318.63/46.70 tff('2898', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('2899', plain, ~ ( zip_tseitin_1(c8, c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2897', '2898'])). 318.63/46.70 tff('2900', plain, (g(c3, c8) = c5) <= ((g(c3, c8) = c5)), 318.63/46.70 inference('split', [status(esa)], ['2737'])). 318.63/46.70 tff('2901', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2902', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c8, c3))) <= ((g(c3, c8) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2900', '2901'])). 318.63/46.70 tff('2903', plain, ( zip_tseitin_2(c8, c3)) <= ((g(c3, c8) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['2902'])). 318.63/46.70 tff('2904', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2905', plain, 318.63/46.70 (( zip_tseitin_1(c8, c3) | zip_tseitin_0(c8, c3))) <= ((g(c3, c8) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2903', '2904'])). 318.63/46.70 tff('2906', plain, 318.63/46.70 ~ (g(c3, c8) = c5) | ( zip_tseitin_1(c8, c3)) | ( zip_tseitin_0(c8, c3)), 318.63/46.70 inference('split', [status(esa)], ['2905'])). 318.63/46.70 tff('2907', plain, (g(c3, s(s(c5))) = c2) <= ((g(c3, c8) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2740'])). 318.63/46.70 tff('2908', plain, (g(c3, s(s(c5))) = c1) <= ((g(c4, s(s(c5))) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2758'])). 318.63/46.70 tff('2909', plain, (c2 = c1) <= ((g(c3, c8) = c4) & (g(c4, s(s(c5))) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2907', '2908'])). 318.63/46.70 tff('2910', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('2911', plain, ~ (g(c3, c8) = c4) | ~ (g(c4, s(s(c5))) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2909', '2910'])). 318.63/46.70 tff('2912', plain, (g(c3, s(s(c5))) = c3) <= ((g(c3, s(s(c5))) = c3)), 318.63/46.70 inference('split', [status(esa)], ['2749'])). 318.63/46.70 tff('2913', plain, (g(c3, s(s(c5))) = c1) <= ((g(c4, s(s(c5))) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2758'])). 318.63/46.70 tff('2914', plain, 318.63/46.70 (c3 = c1) <= ((g(c4, s(s(c5))) = c3) & (g(c3, s(s(c5))) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2912', '2913'])). 318.63/46.70 tff('2915', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('2916', plain, ~ (g(c3, s(s(c5))) = c3) | ~ (g(c4, s(s(c5))) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2914', '2915'])). 318.63/46.70 tff('2917', plain, 318.63/46.70 (g(c4, s(s(c5))) = c3) | (g(c4, c8) = c4) | (g(c4, s(s(c5))) = c5) | 318.63/46.70 (g(c4, s(s(c5))) = c4) | (g(c5, s(s(c5))) = c3), 318.63/46.70 inference('split', [status(esa)], ['393'])). 318.63/46.70 tff('2918', plain, (g(c4, s(s(c5))) = c2) <= ((g(c4, s(s(c5))) = c2)), 318.63/46.70 inference('split', [status(esa)], ['562'])). 318.63/46.70 tff('2919', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2920', plain, 318.63/46.70 ((c2 != c5 | zip_tseitin_2(s(s(c5)), c4))) <= ((g(c4, s(s(c5))) = c2)), 318.63/46.70 inference('sup-', [status(thm)], ['2918', '2919'])). 318.63/46.70 tff('2921', plain, 318.63/46.70 ( zip_tseitin_2(s(s(c5)), c4)) <= (( zip_tseitin_2(s(s(c5)), c4))), 318.63/46.70 inference('split', [status(esa)], ['2920'])). 318.63/46.70 tff('2922', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2923', plain, 318.63/46.70 (( zip_tseitin_1(s(s(c5)), c4) | zip_tseitin_0(s(s(c5)), c4))) 318.63/46.70 <= (( zip_tseitin_2(s(s(c5)), c4))), 318.63/46.70 inference('sup-', [status(thm)], ['2921', '2922'])). 318.63/46.70 tff('2924', plain, 318.63/46.70 ( zip_tseitin_1(s(s(c5)), c4)) <= (( zip_tseitin_1(s(s(c5)), c4))), 318.63/46.70 inference('split', [status(esa)], ['2923'])). 318.63/46.70 tff('2925', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2926', plain, (c4 = c8) <= (( zip_tseitin_1(s(s(c5)), c4))), 318.63/46.70 inference('sup-', [status(thm)], ['2924', '2925'])). 318.63/46.70 tff('2927', plain, c8 != c4, 318.63/46.70 inference('demod', [status(thm)], ['681', '682'])). 318.63/46.70 tff('2928', plain, ~ ( zip_tseitin_1(s(s(c5)), c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2926', '2927'])). 318.63/46.70 tff('2929', plain, 318.63/46.70 ( zip_tseitin_0(s(s(c5)), c4)) <= (( zip_tseitin_0(s(s(c5)), c4))), 318.63/46.70 inference('split', [status(esa)], ['2923'])). 318.63/46.70 tff('2930', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2931', plain, (c4 = c1) <= (( zip_tseitin_0(s(s(c5)), c4))), 318.63/46.70 inference('sup-', [status(thm)], ['2929', '2930'])). 318.63/46.70 tff('2932', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('2933', plain, ~ ( zip_tseitin_0(s(s(c5)), c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2931', '2932'])). 318.63/46.70 tff('2934', plain, (g(c4, s(s(c5))) = c5) <= ((g(c4, s(s(c5))) = c5)), 318.63/46.70 inference('split', [status(esa)], ['393'])). 318.63/46.70 tff('2935', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2936', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(s(s(c5)), c4))) <= ((g(c4, s(s(c5))) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2934', '2935'])). 318.63/46.70 tff('2937', plain, 318.63/46.70 ( zip_tseitin_2(s(s(c5)), c4)) <= ((g(c4, s(s(c5))) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['2936'])). 318.63/46.70 tff('2938', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2939', plain, 318.63/46.70 (( zip_tseitin_1(s(s(c5)), c4) | zip_tseitin_0(s(s(c5)), c4))) 318.63/46.70 <= ((g(c4, s(s(c5))) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2937', '2938'])). 318.63/46.70 tff('2940', plain, 318.63/46.70 ~ (g(c4, s(s(c5))) = c5) | ( zip_tseitin_0(s(s(c5)), c4)) | 318.63/46.70 ( zip_tseitin_1(s(s(c5)), c4)), 318.63/46.70 inference('split', [status(esa)], ['2939'])). 318.63/46.70 tff('2941', plain, (g(c4, c8) = c3) <= ((g(c4, c8) = c3)), 318.63/46.70 inference('split', [status(esa)], ['2727'])). 318.63/46.70 tff('2942', plain, (g(c5, c8) = c3) <= ((g(c5, c8) = c3)), 318.63/46.70 inference('split', [status(esa)], ['2727'])). 318.63/46.70 tff('2943', plain, ![X0]: (g(c5, X0) != c3 | g(c4, X0) = c1), 318.63/46.70 inference('sup-', [status(thm)], ['396', '397'])). 318.63/46.70 tff('2944', plain, ((c3 != c3 | g(c4, c8) = c1)) <= ((g(c5, c8) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['2942', '2943'])). 318.63/46.70 tff('2945', plain, (g(c4, c8) = c1) <= ((g(c5, c8) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2944'])). 318.63/46.70 tff('2946', plain, (c3 = c1) <= ((g(c5, c8) = c3) & (g(c4, c8) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['2941', '2945'])). 318.63/46.70 tff('2947', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('2948', plain, ~ (g(c4, c8) = c3) | ~ (g(c5, c8) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2946', '2947'])). 318.63/46.70 tff('2949', plain, (g(c4, c8) = c4) <= ((g(c4, c8) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2727'])). 318.63/46.70 tff('2950', plain, (g(c4, c8) = c1) <= ((g(c5, c8) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2944'])). 318.63/46.70 tff('2951', plain, (c4 = c1) <= ((g(c5, c8) = c3) & (g(c4, c8) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2949', '2950'])). 318.63/46.70 tff('2952', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('2953', plain, ~ (g(c4, c8) = c4) | ~ (g(c5, c8) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2951', '2952'])). 318.63/46.70 tff('2954', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2955', plain, (g(c5, c8) = c3) <= ((g(c5, c8) = c3)), 318.63/46.70 inference('split', [status(esa)], ['2727'])). 318.63/46.70 tff('2956', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2957', plain, 318.63/46.70 ((c3 != c5 | zip_tseitin_2(c8, c5))) <= ((g(c5, c8) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['2955', '2956'])). 318.63/46.70 tff('2958', plain, ( zip_tseitin_2(c8, c5)) <= (( zip_tseitin_2(c8, c5))), 318.63/46.70 inference('split', [status(esa)], ['2957'])). 318.63/46.70 tff('2959', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2960', plain, 318.63/46.70 (( zip_tseitin_1(c8, c5) | zip_tseitin_0(c8, c5))) 318.63/46.70 <= (( zip_tseitin_2(c8, c5))), 318.63/46.70 inference('sup-', [status(thm)], ['2958', '2959'])). 318.63/46.70 tff('2961', plain, ( zip_tseitin_1(c8, c5)) <= (( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('split', [status(esa)], ['2960'])). 318.63/46.70 tff('2962', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('2963', plain, (c5 = c8) <= (( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('sup-', [status(thm)], ['2961', '2962'])). 318.63/46.70 tff('2964', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2965', plain, (c1 = s(c5)) <= (( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('sup+', [status(thm)], ['2963', '2964'])). 318.63/46.70 tff('2966', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('2967', plain, (s(s(c1)) = c8) <= (( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('sup+', [status(thm)], ['2965', '2966'])). 318.63/46.70 tff('2968', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2969', plain, (c5 = c8) <= (( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('sup-', [status(thm)], ['2961', '2962'])). 318.63/46.70 tff('2970', plain, (s(c2) = c5) <= (( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('demod', [status(thm)], ['2967', '2968', '2969'])). 318.63/46.70 tff('2971', plain, (c3 = c5) <= (( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('sup+', [status(thm)], ['2954', '2970'])). 318.63/46.70 tff('2972', plain, c5 != c3, inference('sup-', [status(thm)], ['311', '312'])). 318.63/46.70 tff('2973', plain, ~ ( zip_tseitin_1(c8, c5)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2971', '2972'])). 318.63/46.70 tff('2974', plain, ( zip_tseitin_0(c8, c5)) <= (( zip_tseitin_0(c8, c5))), 318.63/46.70 inference('split', [status(esa)], ['2960'])). 318.63/46.70 tff('2975', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('2976', plain, (c5 = c1) <= (( zip_tseitin_0(c8, c5))), 318.63/46.70 inference('sup-', [status(thm)], ['2974', '2975'])). 318.63/46.70 tff('2977', plain, c1 != c5, 318.63/46.70 inference('demod', [status(thm)], ['129', '130'])). 318.63/46.70 tff('2978', plain, ~ ( zip_tseitin_0(c8, c5)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2976', '2977'])). 318.63/46.70 tff('2979', plain, (g(c5, c8) = c5) <= ((g(c5, c8) = c5)), 318.63/46.70 inference('split', [status(esa)], ['2547'])). 318.63/46.70 tff('2980', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2981', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c8, c5))) <= ((g(c5, c8) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2979', '2980'])). 318.63/46.70 tff('2982', plain, ( zip_tseitin_2(c8, c5)) <= ((g(c5, c8) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['2981'])). 318.63/46.70 tff('2983', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('2984', plain, 318.63/46.70 (( zip_tseitin_1(c8, c5) | zip_tseitin_0(c8, c5))) <= ((g(c5, c8) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['2982', '2983'])). 318.63/46.70 tff('2985', plain, 318.63/46.70 ~ (g(c5, c8) = c5) | ( zip_tseitin_0(c8, c5)) | ( zip_tseitin_1(c8, c5)), 318.63/46.70 inference('split', [status(esa)], ['2984'])). 318.63/46.70 tff('2986', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('2987', plain, (g(s(c5), c8) = c4) <= ((g(s(c5), s(s(c5))) = c2)), 318.63/46.70 inference('simplify', [status(thm)], ['2344'])). 318.63/46.70 tff('2988', plain, 318.63/46.70 ((c3 = c4 318.63/46.70 | g(c5, c8) = c3 318.63/46.70 | g(c5, c8) = c5 318.63/46.70 | g(c5, c8) = c4 318.63/46.70 | g(c5, c8) = c2)) <= ((g(s(c5), s(s(c5))) = c2)), 318.63/46.70 inference('sup+', [status(thm)], ['2986', '2987'])). 318.63/46.70 tff('2989', plain, ![X10]: g(X10, c8) != c2, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('2990', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('2991', plain, 318.63/46.70 ((g(c5, c8) = c3 | g(c5, c8) = c5 | g(c5, c8) = c4)) 318.63/46.70 <= ((g(s(c5), s(s(c5))) = c2)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2988', '2989', '2990'])). 318.63/46.70 tff('2992', plain, 318.63/46.70 (g(c5, c8) = c5) | (g(c5, c8) = c4) | (g(c5, c8) = c3) | 318.63/46.70 ~ (g(s(c5), s(s(c5))) = c2), inference('split', [status(esa)], ['2991'])). 318.63/46.70 tff('2993', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('2994', plain, (g(s(s(c5)), s(s(c5))) = c2) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['1819'])). 318.63/46.70 tff('2995', plain, 318.63/46.70 ((c3 = c2 318.63/46.70 | g(s(c5), s(s(c5))) = c3 318.63/46.70 | g(s(c5), s(s(c5))) = c5 318.63/46.70 | g(s(c5), s(s(c5))) = c4 318.63/46.70 | g(s(c5), s(s(c5))) = c2)) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['2993', '2994'])). 318.63/46.70 tff('2996', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('2997', plain, 318.63/46.70 ((g(s(c5), s(s(c5))) = c3 318.63/46.70 | g(s(c5), s(s(c5))) = c5 318.63/46.70 | g(s(c5), s(s(c5))) = c4 318.63/46.70 | g(s(c5), s(s(c5))) = c2)) <= ((g(s(s(c5)), c8) = c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2995', '2996'])). 318.63/46.70 tff('2998', plain, 318.63/46.70 ~ (g(s(s(c5)), c8) = c4) | (g(s(c5), s(s(c5))) = c3) | 318.63/46.70 (g(s(c5), s(s(c5))) = c5) | (g(s(c5), s(s(c5))) = c2) | 318.63/46.70 (g(s(c5), s(s(c5))) = c4), inference('split', [status(esa)], ['2997'])). 318.63/46.70 tff('2999', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3000', plain, (g(s(c5), s(s(c5))) = c2) <= ((g(s(c5), c8) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['453'])). 318.63/46.70 tff('3001', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3002', plain, 318.63/46.70 ((c2 != c5 | zip_tseitin_2(s(s(c5)), s(c5)))) <= ((g(s(c5), c8) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3000', '3001'])). 318.63/46.70 tff('3003', plain, 318.63/46.70 ( zip_tseitin_2(s(s(c5)), s(c5))) <= (( zip_tseitin_2(s(s(c5)), s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3002'])). 318.63/46.70 tff('3004', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3005', plain, 318.63/46.70 (( zip_tseitin_1(s(s(c5)), s(c5)) | zip_tseitin_0(s(s(c5)), s(c5)))) 318.63/46.70 <= (( zip_tseitin_2(s(s(c5)), s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3003', '3004'])). 318.63/46.70 tff('3006', plain, 318.63/46.70 ( zip_tseitin_1(s(s(c5)), s(c5))) <= (( zip_tseitin_1(s(s(c5)), s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3005'])). 318.63/46.70 tff('3007', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3008', plain, (s(c5) = c8) <= (( zip_tseitin_1(s(s(c5)), s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3006', '3007'])). 318.63/46.70 tff('3009', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('3010', plain, (s(s(c8)) = c8) <= (( zip_tseitin_1(s(s(c5)), s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['3008', '3009'])). 318.63/46.70 tff('3011', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3012', plain, (s(c1) = c8) <= (( zip_tseitin_1(s(s(c5)), s(c5)))), 318.63/46.70 inference('demod', [status(thm)], ['3010', '3011'])). 318.63/46.70 tff('3013', plain, 318.63/46.70 ( zip_tseitin_1(s(s(c5)), s(c5))) <= (( zip_tseitin_1(s(s(c5)), s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3005'])). 318.63/46.70 tff('3014', plain, (s(c5) = c8) <= (( zip_tseitin_1(s(s(c5)), s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3006', '3007'])). 318.63/46.70 tff('3015', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3016', plain, (s(c5) = c8) <= (( zip_tseitin_1(s(s(c5)), s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3006', '3007'])). 318.63/46.70 tff('3017', plain, 318.63/46.70 ( zip_tseitin_1(c1, c8)) <= (( zip_tseitin_1(s(s(c5)), s(c5)))), 318.63/46.70 inference('demod', [status(thm)], ['3013', '3014', '3015', '3016'])). 318.63/46.70 tff('3018', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3019', plain, (c1 = c8) <= (( zip_tseitin_1(s(s(c5)), s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3017', '3018'])). 318.63/46.70 tff('3020', plain, (s(c1) = c1) <= (( zip_tseitin_1(s(s(c5)), s(c5)))), 318.63/46.70 inference('demod', [status(thm)], ['3012', '3019'])). 318.63/46.70 tff('3021', plain, (c2 = c1) <= (( zip_tseitin_1(s(s(c5)), s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['2999', '3020'])). 318.63/46.70 tff('3022', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3023', plain, ~ ( zip_tseitin_1(s(s(c5)), s(c5))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3021', '3022'])). 318.63/46.70 tff('3024', plain, 318.63/46.70 ( zip_tseitin_0(s(s(c5)), s(c5))) <= (( zip_tseitin_0(s(s(c5)), s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3005'])). 318.63/46.70 tff('3025', plain, 318.63/46.70 ( zip_tseitin_0(s(s(c5)), s(c5))) <= (( zip_tseitin_0(s(s(c5)), s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3005'])). 318.63/46.70 tff('3026', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3027', plain, (s(c5) = c1) <= (( zip_tseitin_0(s(s(c5)), s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3025', '3026'])). 318.63/46.70 tff('3028', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3029', plain, (s(c5) = c1) <= (( zip_tseitin_0(s(s(c5)), s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3025', '3026'])). 318.63/46.70 tff('3030', plain, 318.63/46.70 ( zip_tseitin_0(c2, c1)) <= (( zip_tseitin_0(s(s(c5)), s(c5)))), 318.63/46.70 inference('demod', [status(thm)], ['3024', '3027', '3028', '3029'])). 318.63/46.70 tff('3031', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3032', plain, (c2 = c1) <= (( zip_tseitin_0(s(s(c5)), s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3030', '3031'])). 318.63/46.70 tff('3033', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3034', plain, ~ ( zip_tseitin_0(s(s(c5)), s(c5))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3032', '3033'])). 318.63/46.70 tff('3035', plain, (g(s(c5), s(s(c5))) = c5) <= ((g(s(c5), s(s(c5))) = c5)), 318.63/46.70 inference('split', [status(esa)], ['226'])). 318.63/46.70 tff('3036', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3037', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(s(s(c5)), s(c5)))) 318.63/46.70 <= ((g(s(c5), s(s(c5))) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3035', '3036'])). 318.63/46.70 tff('3038', plain, 318.63/46.70 ( zip_tseitin_2(s(s(c5)), s(c5))) <= ((g(s(c5), s(s(c5))) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3037'])). 318.63/46.70 tff('3039', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3040', plain, 318.63/46.70 (( zip_tseitin_1(s(s(c5)), s(c5)) | zip_tseitin_0(s(s(c5)), s(c5)))) 318.63/46.70 <= ((g(s(c5), s(s(c5))) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3038', '3039'])). 318.63/46.70 tff('3041', plain, 318.63/46.70 ~ (g(s(c5), s(s(c5))) = c5) | ( zip_tseitin_0(s(s(c5)), s(c5))) | 318.63/46.70 ( zip_tseitin_1(s(s(c5)), s(c5))), 318.63/46.70 inference('split', [status(esa)], ['3040'])). 318.63/46.70 tff('3042', plain, (g(c5, s(s(c5))) = c1) <= ((g(s(c5), s(s(c5))) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2554'])). 318.63/46.70 tff('3043', plain, (g(c5, s(c5)) = c2) <= ((g(c5, s(c5)) = c2)), 318.63/46.70 inference('split', [status(esa)], ['861'])). 318.63/46.70 tff('3044', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3045', plain, 318.63/46.70 ((c2 != c2 | g(c5, s(s(c5))) = c4)) <= ((g(c5, s(c5)) = c2)), 318.63/46.70 inference('sup-', [status(thm)], ['3043', '3044'])). 318.63/46.70 tff('3046', plain, (g(c5, s(s(c5))) = c4) <= ((g(c5, s(c5)) = c2)), 318.63/46.70 inference('simplify', [status(thm)], ['3045'])). 318.63/46.70 tff('3047', plain, 318.63/46.70 (c1 = c4) <= ((g(s(c5), s(s(c5))) = c3) & (g(c5, s(c5)) = c2)), 318.63/46.70 inference('sup+', [status(thm)], ['3042', '3046'])). 318.63/46.70 tff('3048', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3049', plain, ~ (g(s(c5), s(s(c5))) = c3) | ~ (g(c5, s(c5)) = c2), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3047', '3048'])). 318.63/46.70 tff('3050', plain, (g(c5, s(s(c5))) = c2) <= ((g(c5, c8) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2550'])). 318.63/46.70 tff('3051', plain, (g(c5, s(s(c5))) = c4) <= ((g(c5, s(c5)) = c2)), 318.63/46.70 inference('simplify', [status(thm)], ['3045'])). 318.63/46.70 tff('3052', plain, (c2 = c4) <= ((g(c5, c8) = c4) & (g(c5, s(c5)) = c2)), 318.63/46.70 inference('sup+', [status(thm)], ['3050', '3051'])). 318.63/46.70 tff('3053', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3054', plain, ~ (g(c5, c8) = c4) | ~ (g(c5, s(c5)) = c2), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3052', '3053'])). 318.63/46.70 tff('3055', plain, (g(c5, s(s(c5))) = c3) <= ((g(c5, s(s(c5))) = c3)), 318.63/46.70 inference('split', [status(esa)], ['393'])). 318.63/46.70 tff('3056', plain, (g(c5, s(s(c5))) = c4) <= ((g(c5, s(c5)) = c2)), 318.63/46.70 inference('simplify', [status(thm)], ['3045'])). 318.63/46.70 tff('3057', plain, 318.63/46.70 (c3 = c4) <= ((g(c5, s(s(c5))) = c3) & (g(c5, s(c5)) = c2)), 318.63/46.70 inference('sup+', [status(thm)], ['3055', '3056'])). 318.63/46.70 tff('3058', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('3059', plain, ~ (g(c5, s(s(c5))) = c3) | ~ (g(c5, s(c5)) = c2), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3057', '3058'])). 318.63/46.70 tff('3060', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('3061', plain, (g(s(c5), s(c5)) = c1) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['252'])). 318.63/46.70 tff('3062', plain, 318.63/46.70 ((c3 = c1 318.63/46.70 | g(c5, s(c5)) = c3 318.63/46.70 | g(c5, s(c5)) = c5 318.63/46.70 | g(c5, s(c5)) = c4 318.63/46.70 | g(c5, s(c5)) = c2)) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3060', '3061'])). 318.63/46.70 tff('3063', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3064', plain, 318.63/46.70 ((g(c5, s(c5)) = c3 318.63/46.70 | g(c5, s(c5)) = c5 318.63/46.70 | g(c5, s(c5)) = c4 318.63/46.70 | g(c5, s(c5)) = c2)) <= ((g(s(s(c5)), s(c5)) = c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3062', '3063'])). 318.63/46.70 tff('3065', plain, 318.63/46.70 (g(c5, s(c5)) = c2) | (g(c5, s(c5)) = c3) | (g(c5, s(c5)) = c5) | 318.63/46.70 (g(c5, s(c5)) = c4) | ~ (g(s(s(c5)), s(c5)) = c3), 318.63/46.70 inference('split', [status(esa)], ['3064'])). 318.63/46.70 tff('3066', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3067', plain, (g(c5, s(c5)) = c4) <= ((g(c5, s(c5)) = c4)), 318.63/46.70 inference('split', [status(esa)], ['752'])). 318.63/46.70 tff('3068', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3069', plain, 318.63/46.70 ((c4 != c5 | zip_tseitin_2(s(c5), c5))) <= ((g(c5, s(c5)) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3067', '3068'])). 318.63/46.70 tff('3070', plain, 318.63/46.70 ( zip_tseitin_2(s(c5), c5)) <= (( zip_tseitin_2(s(c5), c5))), 318.63/46.70 inference('split', [status(esa)], ['3069'])). 318.63/46.70 tff('3071', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3072', plain, 318.63/46.70 (( zip_tseitin_1(s(c5), c5) | zip_tseitin_0(s(c5), c5))) 318.63/46.70 <= (( zip_tseitin_2(s(c5), c5))), 318.63/46.70 inference('sup-', [status(thm)], ['3070', '3071'])). 318.63/46.70 tff('3073', plain, 318.63/46.70 ( zip_tseitin_1(s(c5), c5)) <= (( zip_tseitin_1(s(c5), c5))), 318.63/46.70 inference('split', [status(esa)], ['3072'])). 318.63/46.70 tff('3074', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3075', plain, (c5 = c8) <= (( zip_tseitin_1(s(c5), c5))), 318.63/46.70 inference('sup-', [status(thm)], ['3073', '3074'])). 318.63/46.70 tff('3076', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3077', plain, (c1 = s(c5)) <= (( zip_tseitin_1(s(c5), c5))), 318.63/46.70 inference('sup+', [status(thm)], ['3075', '3076'])). 318.63/46.70 tff('3078', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('3079', plain, (s(s(c1)) = c8) <= (( zip_tseitin_1(s(c5), c5))), 318.63/46.70 inference('sup+', [status(thm)], ['3077', '3078'])). 318.63/46.70 tff('3080', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3081', plain, (c5 = c8) <= (( zip_tseitin_1(s(c5), c5))), 318.63/46.70 inference('sup-', [status(thm)], ['3073', '3074'])). 318.63/46.70 tff('3082', plain, (s(c2) = c5) <= (( zip_tseitin_1(s(c5), c5))), 318.63/46.70 inference('demod', [status(thm)], ['3079', '3080', '3081'])). 318.63/46.70 tff('3083', plain, (c3 = c5) <= (( zip_tseitin_1(s(c5), c5))), 318.63/46.70 inference('sup+', [status(thm)], ['3066', '3082'])). 318.63/46.70 tff('3084', plain, c5 != c3, inference('sup-', [status(thm)], ['311', '312'])). 318.63/46.70 tff('3085', plain, ~ ( zip_tseitin_1(s(c5), c5)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3083', '3084'])). 318.63/46.70 tff('3086', plain, 318.63/46.70 ( zip_tseitin_0(s(c5), c5)) <= (( zip_tseitin_0(s(c5), c5))), 318.63/46.70 inference('split', [status(esa)], ['3072'])). 318.63/46.70 tff('3087', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3088', plain, (c5 = c1) <= (( zip_tseitin_0(s(c5), c5))), 318.63/46.70 inference('sup-', [status(thm)], ['3086', '3087'])). 318.63/46.70 tff('3089', plain, c1 != c5, 318.63/46.70 inference('demod', [status(thm)], ['129', '130'])). 318.63/46.70 tff('3090', plain, ~ ( zip_tseitin_0(s(c5), c5)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3088', '3089'])). 318.63/46.70 tff('3091', plain, (g(c5, s(c5)) = c5) <= ((g(c5, s(c5)) = c5)), 318.63/46.70 inference('split', [status(esa)], ['1347'])). 318.63/46.70 tff('3092', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3093', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(s(c5), c5))) <= ((g(c5, s(c5)) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3091', '3092'])). 318.63/46.70 tff('3094', plain, ( zip_tseitin_2(s(c5), c5)) <= ((g(c5, s(c5)) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3093'])). 318.63/46.70 tff('3095', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3096', plain, 318.63/46.70 (( zip_tseitin_1(s(c5), c5) | zip_tseitin_0(s(c5), c5))) 318.63/46.70 <= ((g(c5, s(c5)) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3094', '3095'])). 318.63/46.70 tff('3097', plain, 318.63/46.70 ( zip_tseitin_0(s(c5), c5)) | ( zip_tseitin_1(s(c5), c5)) | 318.63/46.70 ~ (g(c5, s(c5)) = c5), inference('split', [status(esa)], ['3096'])). 318.63/46.70 tff('3098', plain, (g(c4, s(c5)) = c3) <= ((g(c4, s(c5)) = c3)), 318.63/46.70 inference('split', [status(esa)], ['566'])). 318.63/46.70 tff('3099', plain, (g(c4, s(c5)) = c1) <= ((g(c5, s(c5)) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2625'])). 318.63/46.70 tff('3100', plain, (c3 = c1) <= ((g(c4, s(c5)) = c3) & (g(c5, s(c5)) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3098', '3099'])). 318.63/46.70 tff('3101', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3102', plain, ~ (g(c4, s(c5)) = c3) | ~ (g(c5, s(c5)) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3100', '3101'])). 318.63/46.70 tff('3103', plain, (g(c4, s(c5)) = c3) <= ((g(c4, s(c5)) = c3)), 318.63/46.70 inference('split', [status(esa)], ['566'])). 318.63/46.70 tff('3104', plain, (g(c4, s(c5)) = c2) <= ((g(c4, s(s(c5))) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2593'])). 318.63/46.70 tff('3105', plain, 318.63/46.70 (c3 = c2) <= ((g(c4, s(s(c5))) = c4) & (g(c4, s(c5)) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3103', '3104'])). 318.63/46.70 tff('3106', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('3107', plain, ~ (g(c4, s(c5)) = c3) | ~ (g(c4, s(s(c5))) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3105', '3106'])). 318.63/46.70 tff('3108', plain, (g(c1, c8) = c4) <= ((g(c1, c8) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2798'])). 318.63/46.70 tff('3109', plain, ![X0]: (g(X0, c8) != c4 | g(X0, s(s(c5))) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['115', '116'])). 318.63/46.70 tff('3110', plain, ((c4 != c4 | g(c1, s(s(c5))) = c2)) <= ((g(c1, c8) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3108', '3109'])). 318.63/46.70 tff('3111', plain, (g(c1, s(s(c5))) = c2) <= ((g(c1, c8) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['3110'])). 318.63/46.70 tff('3112', plain, (g(c2, s(s(c5))) = c3) <= ((g(c2, s(s(c5))) = c3)), 318.63/46.70 inference('split', [status(esa)], ['2576'])). 318.63/46.70 tff('3113', plain, ![X0]: (g(c2, X0) != c3 | g(c1, X0) = c1), 318.63/46.70 inference('sup-', [status(thm)], ['297', '298'])). 318.63/46.70 tff('3114', plain, 318.63/46.70 ((c3 != c3 | g(c1, s(s(c5))) = c1)) <= ((g(c2, s(s(c5))) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['3112', '3113'])). 318.63/46.70 tff('3115', plain, (g(c1, s(s(c5))) = c1) <= ((g(c2, s(s(c5))) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['3114'])). 318.63/46.70 tff('3116', plain, (c2 = c1) <= ((g(c1, c8) = c4) & (g(c2, s(s(c5))) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3111', '3115'])). 318.63/46.70 tff('3117', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3118', plain, ~ (g(c2, s(s(c5))) = c3) | ~ (g(c1, c8) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3116', '3117'])). 318.63/46.70 tff('3119', plain, (g(c3, c3) = c3) <= ((g(c3, c3) = c3)), 318.63/46.70 inference('split', [status(esa)], ['47'])). 318.63/46.70 tff('3120', plain, (g(c3, c3) = c1) <= ((g(c4, c3) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2275'])). 318.63/46.70 tff('3121', plain, (c3 = c1) <= ((g(c3, c3) = c3) & (g(c4, c3) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3119', '3120'])). 318.63/46.70 tff('3122', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3123', plain, ~ (g(c3, c3) = c3) | ~ (g(c4, c3) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3121', '3122'])). 318.63/46.70 tff('3124', plain, (g(c4, c1) = c3) <= ((g(c4, c1) = c3)), 318.63/46.70 inference('split', [status(esa)], ['1265'])). 318.63/46.70 tff('3125', plain, ![X0]: (g(c4, X0) != c3 | g(c3, X0) = c1), 318.63/46.70 inference('sup-', [status(thm)], ['945', '946'])). 318.63/46.70 tff('3126', plain, ((c3 != c3 | g(c3, c1) = c1)) <= ((g(c4, c1) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['3124', '3125'])). 318.63/46.70 tff('3127', plain, (g(c3, c1) = c1) <= ((g(c4, c1) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['3126'])). 318.63/46.70 tff('3128', plain, (g(c3, c2) = c4) <= ((g(c3, c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['923'])). 318.63/46.70 tff('3129', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.70 tff('3130', plain, ((c4 != c4 | g(c3, c1) = c2)) <= ((g(c3, c2) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3128', '3129'])). 318.63/46.70 tff('3131', plain, (g(c3, c1) = c2) <= ((g(c3, c2) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['3130'])). 318.63/46.70 tff('3132', plain, (c1 = c2) <= ((g(c4, c1) = c3) & (g(c3, c2) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3127', '3131'])). 318.63/46.70 tff('3133', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3134', plain, ~ (g(c3, c2) = c4) | ~ (g(c4, c1) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3132', '3133'])). 318.63/46.70 tff('3135', plain, (g(c4, c2) = c3) <= ((g(c4, c2) = c3)), 318.63/46.70 inference('split', [status(esa)], ['272'])). 318.63/46.70 tff('3136', plain, (g(c4, c2) = c2) <= ((g(c4, c3) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2051'])). 318.63/46.70 tff('3137', plain, (c3 = c2) <= ((g(c4, c3) = c4) & (g(c4, c2) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3135', '3136'])). 318.63/46.70 tff('3138', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('3139', plain, ~ (g(c4, c3) = c4) | ~ (g(c4, c2) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3137', '3138'])). 318.63/46.70 tff('3140', plain, (g(c2, c2) = c4) <= ((g(c2, c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['196'])). 318.63/46.70 tff('3141', plain, (g(c2, c2) = c4) <= ((g(c2, c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['196'])). 318.63/46.70 tff('3142', plain, ![X2, X4]: (g(s(X2), X4) = c3 | g(X2, X4) != c1), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3143', plain, ((c4 != c1 | g(s(c2), c2) = c3)) <= ((g(c2, c2) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3141', '3142'])). 318.63/46.70 tff('3144', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3145', plain, ((c4 != c1 | g(c3, c2) = c3)) <= ((g(c2, c2) = c4)), 318.63/46.70 inference('demod', [status(thm)], ['3143', '3144'])). 318.63/46.70 tff('3146', plain, (g(c3, c2) = c3) <= ((g(c3, c2) = c3)), 318.63/46.70 inference('split', [status(esa)], ['3145'])). 318.63/46.70 tff('3147', plain, ![X0]: (g(c3, X0) != c3 | g(c2, X0) = c1), 318.63/46.70 inference('sup-', [status(thm)], ['133', '134'])). 318.63/46.70 tff('3148', plain, ((c3 != c3 | g(c2, c2) = c1)) <= ((g(c3, c2) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['3146', '3147'])). 318.63/46.70 tff('3149', plain, (g(c2, c2) = c1) <= ((g(c3, c2) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['3148'])). 318.63/46.70 tff('3150', plain, (c4 = c1) <= ((g(c2, c2) = c4) & (g(c3, c2) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3140', '3149'])). 318.63/46.70 tff('3151', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3152', plain, ~ (g(c3, c2) = c3) | ~ (g(c2, c2) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3150', '3151'])). 318.63/46.70 tff('3153', plain, (g(c2, c2) = c1) <= ((g(c3, c2) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['3148'])). 318.63/46.70 tff('3154', plain, (g(c2, c2) = c2) <= ((g(c2, c3) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2294'])). 318.63/46.70 tff('3155', plain, (c1 = c2) <= ((g(c3, c2) = c3) & (g(c2, c3) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3153', '3154'])). 318.63/46.70 tff('3156', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3157', plain, ~ (g(c3, c2) = c3) | ~ (g(c2, c3) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3155', '3156'])). 318.63/46.70 tff('3158', plain, (g(c4, c2) = c4) <= ((g(c4, c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['272'])). 318.63/46.70 tff('3159', plain, (g(c4, c2) = c3) <= ((g(c4, c2) = c3)), 318.63/46.70 inference('split', [status(esa)], ['272'])). 318.63/46.70 tff('3160', plain, (c4 = c3) <= ((g(c4, c2) = c4) & (g(c4, c2) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3158', '3159'])). 318.63/46.70 tff('3161', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('3162', plain, ~ (g(c4, c2) = c4) | ~ (g(c4, c2) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3160', '3161'])). 318.63/46.70 tff('3163', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3164', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c3, s(X0)) = c4 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c3, X0) = c5 318.63/46.70 | g(c3, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['8'])). 318.63/46.70 tff('3165', plain, 318.63/46.70 (g(c3, c3) = c4 318.63/46.70 | g(c3, c2) = c4 318.63/46.70 | g(c3, c2) = c5 318.63/46.70 | g(c3, c2) = c3 318.63/46.70 | g(c4, c2) = c3), 318.63/46.70 inference('sup+', [status(thm)], ['3163', '3164'])). 318.63/46.70 tff('3166', plain, 318.63/46.70 (g(c3, c2) = c3) | (g(c3, c2) = c4) | (g(c3, c2) = c5) | 318.63/46.70 (g(c3, c3) = c4) | (g(c4, c2) = c3), 318.63/46.70 inference('split', [status(esa)], ['3165'])). 318.63/46.70 tff('3167', plain, (g(c3, c2) = c4) <= ((g(c3, c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['923'])). 318.63/46.70 tff('3168', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3169', plain, 318.63/46.70 ((c4 != c5 | zip_tseitin_2(c2, c3))) <= ((g(c3, c2) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3167', '3168'])). 318.63/46.70 tff('3170', plain, ( zip_tseitin_2(c2, c3)) <= (( zip_tseitin_2(c2, c3))), 318.63/46.70 inference('split', [status(esa)], ['3169'])). 318.63/46.70 tff('3171', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3172', plain, 318.63/46.70 (( zip_tseitin_1(c2, c3) | zip_tseitin_0(c2, c3))) 318.63/46.70 <= (( zip_tseitin_2(c2, c3))), 318.63/46.70 inference('sup-', [status(thm)], ['3170', '3171'])). 318.63/46.70 tff('3173', plain, ( zip_tseitin_0(c2, c3)) <= (( zip_tseitin_0(c2, c3))), 318.63/46.70 inference('split', [status(esa)], ['3172'])). 318.63/46.70 tff('3174', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3175', plain, (c2 = c1) <= (( zip_tseitin_0(c2, c3))), 318.63/46.70 inference('sup-', [status(thm)], ['3173', '3174'])). 318.63/46.70 tff('3176', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3177', plain, ~ ( zip_tseitin_0(c2, c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3175', '3176'])). 318.63/46.70 tff('3178', plain, ( zip_tseitin_1(c2, c3)) <= (( zip_tseitin_1(c2, c3))), 318.63/46.70 inference('split', [status(esa)], ['3172'])). 318.63/46.70 tff('3179', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3180', plain, (c3 = c8) <= (( zip_tseitin_1(c2, c3))), 318.63/46.70 inference('sup-', [status(thm)], ['3178', '3179'])). 318.63/46.70 tff('3181', plain, ( zip_tseitin_1(c2, c3)) <= (( zip_tseitin_1(c2, c3))), 318.63/46.70 inference('split', [status(esa)], ['3172'])). 318.63/46.70 tff('3182', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3183', plain, (c2 = c8) <= (( zip_tseitin_1(c2, c3))), 318.63/46.70 inference('sup-', [status(thm)], ['3181', '3182'])). 318.63/46.70 tff('3184', plain, (c2 = c3) <= (( zip_tseitin_1(c2, c3))), 318.63/46.70 inference('sup+', [status(thm)], ['3180', '3183'])). 318.63/46.70 tff('3185', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('3186', plain, ~ ( zip_tseitin_1(c2, c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3184', '3185'])). 318.63/46.70 tff('3187', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c4, X0) = c3 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c3, X0) = c5 318.63/46.70 | g(c3, X0) = c4 318.63/46.70 | g(c3, X0) = c2), 318.63/46.70 inference('sup+', [status(thm)], ['1', '5'])). 318.63/46.70 tff('3188', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.70 tff('3189', plain, 318.63/46.70 (c2 != c4 318.63/46.70 | g(c3, c2) = c4 318.63/46.70 | g(c3, c2) = c5 318.63/46.70 | g(c3, c2) = c3 318.63/46.70 | g(c4, c2) = c3 318.63/46.70 | g(c3, c1) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['3187', '3188'])). 318.63/46.70 tff('3190', plain, (g(c3, c2) = c5) <= ((g(c3, c2) = c5)), 318.63/46.70 inference('split', [status(esa)], ['3189'])). 318.63/46.70 tff('3191', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3192', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c2, c3))) <= ((g(c3, c2) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3190', '3191'])). 318.63/46.70 tff('3193', plain, ( zip_tseitin_2(c2, c3)) <= ((g(c3, c2) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3192'])). 318.63/46.70 tff('3194', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3195', plain, 318.63/46.70 (( zip_tseitin_1(c2, c3) | zip_tseitin_0(c2, c3))) <= ((g(c3, c2) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3193', '3194'])). 318.63/46.70 tff('3196', plain, 318.63/46.70 ~ (g(c3, c2) = c5) | ( zip_tseitin_1(c2, c3)) | ( zip_tseitin_0(c2, c3)), 318.63/46.70 inference('split', [status(esa)], ['3195'])). 318.63/46.70 tff('3197', plain, (g(c2, c2) = c3) <= ((g(c2, c2) = c3)), 318.63/46.70 inference('split', [status(esa)], ['108'])). 318.63/46.70 tff('3198', plain, (g(c2, c2) = c1) <= ((g(c3, c2) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['3148'])). 318.63/46.70 tff('3199', plain, (c3 = c1) <= ((g(c2, c2) = c3) & (g(c3, c2) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3197', '3198'])). 318.63/46.70 tff('3200', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3201', plain, ~ (g(c3, c2) = c3) | ~ (g(c2, c2) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3199', '3200'])). 318.63/46.70 tff('3202', plain, (g(c3, c1) = c3) <= ((g(c3, c1) = c3)), 318.63/46.70 inference('split', [status(esa)], ['30'])). 318.63/46.70 tff('3203', plain, (g(c3, c1) = c2) <= ((g(c3, c2) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['3130'])). 318.63/46.70 tff('3204', plain, (c3 = c2) <= ((g(c3, c1) = c3) & (g(c3, c2) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3202', '3203'])). 318.63/46.70 tff('3205', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('3206', plain, ~ (g(c3, c2) = c4) | ~ (g(c3, c1) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3204', '3205'])). 318.63/46.70 tff('3207', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3208', plain, (g(c2, c2) = c3) <= ((g(c2, c2) = c3)), 318.63/46.70 inference('split', [status(esa)], ['108'])). 318.63/46.70 tff('3209', plain, (g(c2, c2) = c4) <= ((g(c2, c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['196'])). 318.63/46.70 tff('3210', plain, (c3 = c4) <= ((g(c2, c2) = c4) & (g(c2, c2) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3208', '3209'])). 318.63/46.70 tff('3211', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3212', plain, (c4 = s(c4)) <= ((g(c2, c2) = c4) & (g(c2, c2) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3210', '3211'])). 318.63/46.70 tff('3213', plain, (c4 = c5) <= ((g(c2, c2) = c4) & (g(c2, c2) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3207', '3212'])). 318.63/46.70 tff('3214', plain, c5 != c4, inference('sup-', [status(thm)], ['320', '321'])). 318.63/46.70 tff('3215', plain, ~ (g(c2, c2) = c4) | ~ (g(c2, c2) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3213', '3214'])). 318.63/46.70 tff('3216', plain, (c1 = s(c5)) <= (( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('sup+', [status(thm)], ['2963', '2964'])). 318.63/46.70 tff('3217', plain, 318.63/46.70 ( zip_tseitin_2(c8, s(s(c5)))) <= (( zip_tseitin_2(c8, s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['2352'])). 318.63/46.70 tff('3218', plain, 318.63/46.70 ( zip_tseitin_2(c8, s(c1))) 318.63/46.70 <= (( zip_tseitin_2(c8, s(s(c5)))) & ( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('sup+', [status(thm)], ['3216', '3217'])). 318.63/46.70 tff('3219', plain, (c5 = c8) <= (( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('sup-', [status(thm)], ['2961', '2962'])). 318.63/46.70 tff('3220', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3221', plain, 318.63/46.70 ( zip_tseitin_2(c5, c2)) 318.63/46.70 <= (( zip_tseitin_2(c8, s(s(c5)))) & ( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('demod', [status(thm)], ['3218', '3219', '3220'])). 318.63/46.70 tff('3222', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3223', plain, 318.63/46.70 (( zip_tseitin_1(c5, c2) | zip_tseitin_0(c5, c2))) 318.63/46.70 <= (( zip_tseitin_2(c8, s(s(c5)))) & ( zip_tseitin_1(c8, c5))), 318.63/46.70 inference('sup-', [status(thm)], ['3221', '3222'])). 318.63/46.70 tff('3224', plain, ( zip_tseitin_0(c5, c2)) <= (( zip_tseitin_0(c5, c2))), 318.63/46.70 inference('split', [status(esa)], ['3223'])). 318.63/46.70 tff('3225', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3226', plain, (c5 = c1) <= (( zip_tseitin_0(c5, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3224', '3225'])). 318.63/46.70 tff('3227', plain, c1 != c5, 318.63/46.70 inference('demod', [status(thm)], ['129', '130'])). 318.63/46.70 tff('3228', plain, ~ ( zip_tseitin_0(c5, c2)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3226', '3227'])). 318.63/46.70 tff('3229', plain, ( zip_tseitin_1(c5, c2)) <= (( zip_tseitin_1(c5, c2))), 318.63/46.70 inference('split', [status(esa)], ['3223'])). 318.63/46.70 tff('3230', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3231', plain, (c2 = c8) <= (( zip_tseitin_1(c5, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3229', '3230'])). 318.63/46.70 tff('3232', plain, ( zip_tseitin_1(c5, c2)) <= (( zip_tseitin_1(c5, c2))), 318.63/46.70 inference('split', [status(esa)], ['3223'])). 318.63/46.70 tff('3233', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3234', plain, (c5 = c8) <= (( zip_tseitin_1(c5, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3232', '3233'])). 318.63/46.70 tff('3235', plain, (c5 = c2) <= (( zip_tseitin_1(c5, c2))), 318.63/46.70 inference('sup+', [status(thm)], ['3231', '3234'])). 318.63/46.70 tff('3236', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.70 tff('3237', plain, ~ ( zip_tseitin_1(c5, c2)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3235', '3236'])). 318.63/46.70 tff('3238', plain, (g(c2, c5) = c5) <= ((g(c2, c5) = c5)), 318.63/46.70 inference('split', [status(esa)], ['487'])). 318.63/46.70 tff('3239', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3240', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c5, c2))) <= ((g(c2, c5) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3238', '3239'])). 318.63/46.70 tff('3241', plain, ( zip_tseitin_2(c5, c2)) <= ((g(c2, c5) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3240'])). 318.63/46.70 tff('3242', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3243', plain, 318.63/46.70 (( zip_tseitin_1(c5, c2) | zip_tseitin_0(c5, c2))) <= ((g(c2, c5) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3241', '3242'])). 318.63/46.70 tff('3244', plain, 318.63/46.70 ~ (g(c2, c5) = c5) | ( zip_tseitin_1(c5, c2)) | ( zip_tseitin_0(c5, c2)), 318.63/46.70 inference('split', [status(esa)], ['3243'])). 318.63/46.70 tff('3245', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c2, s(X0)) = c4 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c2, X0) = c5 318.63/46.70 | g(c2, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['2574'])). 318.63/46.70 tff('3246', plain, (g(c2, s(c5)) = c2) <= ((g(c2, s(s(c5))) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2579'])). 318.63/46.70 tff('3247', plain, 318.63/46.70 ((c4 = c2 318.63/46.70 | g(c2, c5) = c4 318.63/46.70 | g(c2, c5) = c5 318.63/46.70 | g(c2, c5) = c3 318.63/46.70 | g(c3, c5) = c3)) <= ((g(c2, s(s(c5))) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3245', '3246'])). 318.63/46.70 tff('3248', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3249', plain, 318.63/46.70 ((g(c2, c5) = c4 | g(c2, c5) = c5 | g(c2, c5) = c3 | g(c3, c5) = c3)) 318.63/46.70 <= ((g(c2, s(s(c5))) = c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3247', '3248'])). 318.63/46.70 tff('3250', plain, 318.63/46.70 (g(c2, c5) = c5) | (g(c2, c5) = c3) | (g(c2, c5) = c4) | 318.63/46.70 (g(c3, c5) = c3) | ~ (g(c2, s(s(c5))) = c4), 318.63/46.70 inference('split', [status(esa)], ['3249'])). 318.63/46.70 tff('3251', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3252', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c2, X0) = c3 | g(c1, X0) = c5 | g(c1, X0) = c4 | g(c1, X0) = c2), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2793', '2794'])). 318.63/46.70 tff('3253', plain, ![X5, X7]: (g(X5, s(X7)) = c4 | g(X5, X7) != c2), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3254', plain, 318.63/46.70 ![X0]: 318.63/46.70 (c2 != c2 318.63/46.70 | g(c1, X0) = c4 318.63/46.70 | g(c1, X0) = c5 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c1, s(X0)) = c4), 318.63/46.70 inference('sup-', [status(thm)], ['3252', '3253'])). 318.63/46.70 tff('3255', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c1, s(X0)) = c4 | g(c2, X0) = c3 | g(c1, X0) = c5 | g(c1, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['3254'])). 318.63/46.70 tff('3256', plain, 318.63/46.70 (g(c1, c5) = c4 | g(c1, c4) = c4 | g(c1, c4) = c5 | g(c2, c4) = c3), 318.63/46.70 inference('sup+', [status(thm)], ['3251', '3255'])). 318.63/46.70 tff('3257', plain, 318.63/46.70 (g(c1, c5) = c4) | (g(c2, c4) = c3) | (g(c1, c4) = c5) | (g(c1, c4) = c4), 318.63/46.70 inference('split', [status(esa)], ['3256'])). 318.63/46.70 tff('3258', plain, (g(c1, c4) = c4) <= ((g(c1, c4) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2254'])). 318.63/46.70 tff('3259', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3260', plain, 318.63/46.70 ((c4 != c5 | zip_tseitin_2(c4, c1))) <= ((g(c1, c4) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3258', '3259'])). 318.63/46.70 tff('3261', plain, ( zip_tseitin_2(c4, c1)) <= (( zip_tseitin_2(c4, c1))), 318.63/46.70 inference('split', [status(esa)], ['3260'])). 318.63/46.70 tff('3262', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3263', plain, 318.63/46.70 (( zip_tseitin_1(c4, c1) | zip_tseitin_0(c4, c1))) 318.63/46.70 <= (( zip_tseitin_2(c4, c1))), 318.63/46.70 inference('sup-', [status(thm)], ['3261', '3262'])). 318.63/46.70 tff('3264', plain, ( zip_tseitin_1(c4, c1)) <= (( zip_tseitin_1(c4, c1))), 318.63/46.70 inference('split', [status(esa)], ['3263'])). 318.63/46.70 tff('3265', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3266', plain, (c4 = c8) <= (( zip_tseitin_1(c4, c1))), 318.63/46.70 inference('sup-', [status(thm)], ['3264', '3265'])). 318.63/46.70 tff('3267', plain, c8 != c4, 318.63/46.70 inference('demod', [status(thm)], ['681', '682'])). 318.63/46.70 tff('3268', plain, ~ ( zip_tseitin_1(c4, c1)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3266', '3267'])). 318.63/46.70 tff('3269', plain, ( zip_tseitin_0(c4, c1)) <= (( zip_tseitin_0(c4, c1))), 318.63/46.70 inference('split', [status(esa)], ['3263'])). 318.63/46.70 tff('3270', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3271', plain, (c4 = c1) <= (( zip_tseitin_0(c4, c1))), 318.63/46.70 inference('sup-', [status(thm)], ['3269', '3270'])). 318.63/46.70 tff('3272', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3273', plain, ~ ( zip_tseitin_0(c4, c1)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3271', '3272'])). 318.63/46.70 tff('3274', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c2, X0) = c3 | g(c1, X0) = c5 | g(c1, X0) = c4 | g(c1, X0) = c2), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2793', '2794'])). 318.63/46.70 tff('3275', plain, ![X0]: (g(X0, c4) != c4 | g(X0, c3) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['284', '285'])). 318.63/46.70 tff('3276', plain, 318.63/46.70 (c2 != c4 318.63/46.70 | g(c1, c4) = c4 318.63/46.70 | g(c1, c4) = c5 318.63/46.70 | g(c2, c4) = c3 318.63/46.70 | g(c1, c3) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['3274', '3275'])). 318.63/46.70 tff('3277', plain, (g(c1, c4) = c5) <= ((g(c1, c4) = c5)), 318.63/46.70 inference('split', [status(esa)], ['3276'])). 318.63/46.70 tff('3278', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3279', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c4, c1))) <= ((g(c1, c4) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3277', '3278'])). 318.63/46.70 tff('3280', plain, ( zip_tseitin_2(c4, c1)) <= ((g(c1, c4) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3279'])). 318.63/46.70 tff('3281', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3282', plain, 318.63/46.70 (( zip_tseitin_1(c4, c1) | zip_tseitin_0(c4, c1))) <= ((g(c1, c4) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3280', '3281'])). 318.63/46.70 tff('3283', plain, 318.63/46.70 ~ (g(c1, c4) = c5) | ( zip_tseitin_0(c4, c1)) | ( zip_tseitin_1(c4, c1)), 318.63/46.70 inference('split', [status(esa)], ['3282'])). 318.63/46.70 tff('3284', plain, (g(c2, c4) = c4) <= ((g(c2, c4) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2264'])). 318.63/46.70 tff('3285', plain, (g(c2, c4) = c2) <= ((g(c2, c5) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2434'])). 318.63/46.70 tff('3286', plain, (c4 = c2) <= ((g(c2, c5) = c4) & (g(c2, c4) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3284', '3285'])). 318.63/46.70 tff('3287', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3288', plain, ~ (g(c2, c5) = c4) | ~ (g(c2, c4) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3286', '3287'])). 318.63/46.70 tff('3289', plain, (g(c2, c4) = c4) <= ((g(c2, c4) = c4)), 318.63/46.70 inference('split', [status(esa)], ['2264'])). 318.63/46.70 tff('3290', plain, (g(c2, c4) = c3) <= ((g(c2, c4) = c3)), 318.63/46.70 inference('split', [status(esa)], ['2264'])). 318.63/46.70 tff('3291', plain, (c4 = c3) <= ((g(c2, c4) = c4) & (g(c2, c4) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3289', '3290'])). 318.63/46.70 tff('3292', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('3293', plain, ~ (g(c2, c4) = c3) | ~ (g(c2, c4) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3291', '3292'])). 318.63/46.70 tff('3294', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3295', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c2, s(X0)) = c4 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c2, X0) = c5 318.63/46.70 | g(c2, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['2574'])). 318.63/46.70 tff('3296', plain, 318.63/46.70 (g(c2, c4) = c4 318.63/46.70 | g(c2, c3) = c4 318.63/46.70 | g(c2, c3) = c5 318.63/46.70 | g(c2, c3) = c3 318.63/46.70 | g(c3, c3) = c3), 318.63/46.70 inference('sup+', [status(thm)], ['3294', '3295'])). 318.63/46.70 tff('3297', plain, 318.63/46.70 (g(c2, c4) = c4) | (g(c3, c3) = c3) | (g(c2, c3) = c5) | 318.63/46.70 (g(c2, c3) = c4) | (g(c2, c3) = c3), 318.63/46.70 inference('split', [status(esa)], ['3296'])). 318.63/46.70 tff('3298', plain, (g(c2, c3) = c4) <= ((g(c2, c3) = c4)), 318.63/46.70 inference('split', [status(esa)], ['1128'])). 318.63/46.70 tff('3299', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3300', plain, 318.63/46.70 ((c4 != c5 | zip_tseitin_2(c3, c2))) <= ((g(c2, c3) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3298', '3299'])). 318.63/46.70 tff('3301', plain, ( zip_tseitin_2(c3, c2)) <= (( zip_tseitin_2(c3, c2))), 318.63/46.70 inference('split', [status(esa)], ['3300'])). 318.63/46.70 tff('3302', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3303', plain, 318.63/46.70 (( zip_tseitin_1(c3, c2) | zip_tseitin_0(c3, c2))) 318.63/46.70 <= (( zip_tseitin_2(c3, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3301', '3302'])). 318.63/46.70 tff('3304', plain, ( zip_tseitin_1(c3, c2)) <= (( zip_tseitin_1(c3, c2))), 318.63/46.70 inference('split', [status(esa)], ['3303'])). 318.63/46.70 tff('3305', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3306', plain, (c2 = c8) <= (( zip_tseitin_1(c3, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3304', '3305'])). 318.63/46.70 tff('3307', plain, ( zip_tseitin_1(c3, c2)) <= (( zip_tseitin_1(c3, c2))), 318.63/46.70 inference('split', [status(esa)], ['3303'])). 318.63/46.70 tff('3308', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3309', plain, (c3 = c8) <= (( zip_tseitin_1(c3, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3307', '3308'])). 318.63/46.70 tff('3310', plain, (c3 = c2) <= (( zip_tseitin_1(c3, c2))), 318.63/46.70 inference('sup+', [status(thm)], ['3306', '3309'])). 318.63/46.70 tff('3311', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('3312', plain, ~ ( zip_tseitin_1(c3, c2)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3310', '3311'])). 318.63/46.70 tff('3313', plain, ( zip_tseitin_0(c3, c2)) <= (( zip_tseitin_0(c3, c2))), 318.63/46.70 inference('split', [status(esa)], ['3303'])). 318.63/46.70 tff('3314', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3315', plain, (c3 = c1) <= (( zip_tseitin_0(c3, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3313', '3314'])). 318.63/46.70 tff('3316', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3317', plain, ~ ( zip_tseitin_0(c3, c2)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3315', '3316'])). 318.63/46.70 tff('3318', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c3, X0) = c3 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c2, X0) = c5 318.63/46.70 | g(c2, X0) = c4 318.63/46.70 | g(c2, X0) = c2), 318.63/46.70 inference('sup+', [status(thm)], ['304', '305'])). 318.63/46.70 tff('3319', plain, ![X0]: (g(X0, c3) != c4 | g(X0, c2) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['260', '261'])). 318.63/46.70 tff('3320', plain, 318.63/46.70 (c2 != c4 318.63/46.70 | g(c2, c3) = c4 318.63/46.70 | g(c2, c3) = c5 318.63/46.70 | g(c2, c3) = c3 318.63/46.70 | g(c3, c3) = c3 318.63/46.70 | g(c2, c2) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['3318', '3319'])). 318.63/46.70 tff('3321', plain, (g(c2, c3) = c5) <= ((g(c2, c3) = c5)), 318.63/46.70 inference('split', [status(esa)], ['3320'])). 318.63/46.70 tff('3322', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3323', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c3, c2))) <= ((g(c2, c3) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3321', '3322'])). 318.63/46.70 tff('3324', plain, ( zip_tseitin_2(c3, c2)) <= ((g(c2, c3) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3323'])). 318.63/46.70 tff('3325', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3326', plain, 318.63/46.70 (( zip_tseitin_1(c3, c2) | zip_tseitin_0(c3, c2))) <= ((g(c2, c3) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3324', '3325'])). 318.63/46.70 tff('3327', plain, 318.63/46.70 ~ (g(c2, c3) = c5) | ( zip_tseitin_0(c3, c2)) | ( zip_tseitin_1(c3, c2)), 318.63/46.70 inference('split', [status(esa)], ['3326'])). 318.63/46.70 tff('3328', plain, (g(c1, c3) = c4) <= ((g(c1, c3) = c4)), 318.63/46.70 inference('split', [status(esa)], ['208'])). 318.63/46.70 tff('3329', plain, (g(c1, c3) = c2) <= ((g(c1, c4) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2257'])). 318.63/46.70 tff('3330', plain, (c4 = c2) <= ((g(c1, c3) = c4) & (g(c1, c4) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3328', '3329'])). 318.63/46.70 tff('3331', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3332', plain, ~ (g(c1, c4) = c4) | ~ (g(c1, c3) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3330', '3331'])). 318.63/46.70 tff('3333', plain, (g(c1, c3) = c4) <= ((g(c1, c3) = c4)), 318.63/46.70 inference('split', [status(esa)], ['208'])). 318.63/46.70 tff('3334', plain, (g(c1, c3) = c1) <= ((g(c2, c3) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2248'])). 318.63/46.70 tff('3335', plain, (c4 = c1) <= ((g(c1, c3) = c4) & (g(c2, c3) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3333', '3334'])). 318.63/46.70 tff('3336', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3337', plain, ~ (g(c2, c3) = c3) | ~ (g(c1, c3) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3335', '3336'])). 318.63/46.70 tff('3338', plain, (g(c1, c2) = c4) <= ((g(c1, c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['103'])). 318.63/46.70 tff('3339', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.70 tff('3340', plain, ((c4 != c4 | g(c1, c1) = c2)) <= ((g(c1, c2) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3338', '3339'])). 318.63/46.70 tff('3341', plain, g(c1, c1) = c5, 318.63/46.70 inference('sup-', [status(thm)], ['19', '20'])). 318.63/46.70 tff('3342', plain, ((c4 != c4 | c5 = c2)) <= ((g(c1, c2) = c4)), 318.63/46.70 inference('demod', [status(thm)], ['3340', '3341'])). 318.63/46.70 tff('3343', plain, (c5 = c2) <= ((g(c1, c2) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['3342'])). 318.63/46.70 tff('3344', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.70 tff('3345', plain, ~ (g(c1, c2) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3343', '3344'])). 318.63/46.70 tff('3346', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3347', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c1, s(X0)) = c4 | g(c2, X0) = c3 | g(c1, X0) = c5 | g(c1, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['3254'])). 318.63/46.70 tff('3348', plain, 318.63/46.70 (g(c1, c3) = c4 | g(c1, c2) = c4 | g(c1, c2) = c5 | g(c2, c2) = c3), 318.63/46.70 inference('sup+', [status(thm)], ['3346', '3347'])). 318.63/46.70 tff('3349', plain, 318.63/46.70 (g(c1, c2) = c5) | (g(c1, c3) = c4) | (g(c2, c2) = c3) | (g(c1, c2) = c4), 318.63/46.70 inference('split', [status(esa)], ['3348'])). 318.63/46.70 tff('3350', plain, (g(c1, c2) = c4) <= ((g(c1, c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['103'])). 318.63/46.70 tff('3351', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3352', plain, 318.63/46.70 ((c4 != c5 | zip_tseitin_2(c2, c1))) <= ((g(c1, c2) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3350', '3351'])). 318.63/46.70 tff('3353', plain, ( zip_tseitin_2(c2, c1)) <= (( zip_tseitin_2(c2, c1))), 318.63/46.70 inference('split', [status(esa)], ['3352'])). 318.63/46.70 tff('3354', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3355', plain, 318.63/46.70 (( zip_tseitin_1(c2, c1) | zip_tseitin_0(c2, c1))) 318.63/46.70 <= (( zip_tseitin_2(c2, c1))), 318.63/46.70 inference('sup-', [status(thm)], ['3353', '3354'])). 318.63/46.70 tff('3356', plain, ( zip_tseitin_1(c2, c1)) <= (( zip_tseitin_1(c2, c1))), 318.63/46.70 inference('split', [status(esa)], ['3355'])). 318.63/46.70 tff('3357', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3358', plain, (c1 = c8) <= (( zip_tseitin_1(c2, c1))), 318.63/46.70 inference('sup-', [status(thm)], ['3356', '3357'])). 318.63/46.70 tff('3359', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3360', plain, (c1 = s(c1)) <= (( zip_tseitin_1(c2, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['3358', '3359'])). 318.63/46.70 tff('3361', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3362', plain, (s(s(s(c1))) != c1) <= (( zip_tseitin_1(c2, c1))), 318.63/46.70 inference('sup-', [status(thm)], ['3360', '3361'])). 318.63/46.70 tff('3363', plain, (c1 = s(c1)) <= (( zip_tseitin_1(c2, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['3358', '3359'])). 318.63/46.70 tff('3364', plain, (c1 = s(c1)) <= (( zip_tseitin_1(c2, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['3358', '3359'])). 318.63/46.70 tff('3365', plain, (c1 = s(c1)) <= (( zip_tseitin_1(c2, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['3358', '3359'])). 318.63/46.70 tff('3366', plain, (c1 != c1) <= (( zip_tseitin_1(c2, c1))), 318.63/46.70 inference('demod', [status(thm)], ['3362', '3363', '3364', '3365'])). 318.63/46.70 tff('3367', plain, ~ ( zip_tseitin_1(c2, c1)), 318.63/46.70 inference('simplify', [status(thm)], ['3366'])). 318.63/46.70 tff('3368', plain, ( zip_tseitin_0(c2, c1)) <= (( zip_tseitin_0(c2, c1))), 318.63/46.70 inference('split', [status(esa)], ['3355'])). 318.63/46.70 tff('3369', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3370', plain, (c2 = c1) <= (( zip_tseitin_0(c2, c1))), 318.63/46.70 inference('sup-', [status(thm)], ['3368', '3369'])). 318.63/46.70 tff('3371', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3372', plain, (c2 = s(c2)) <= (( zip_tseitin_0(c2, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['3370', '3371'])). 318.63/46.70 tff('3373', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3374', plain, (s(s(s(c2))) != c2) <= (( zip_tseitin_0(c2, c1))), 318.63/46.70 inference('sup-', [status(thm)], ['3372', '3373'])). 318.63/46.70 tff('3375', plain, (c2 = s(c2)) <= (( zip_tseitin_0(c2, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['3370', '3371'])). 318.63/46.70 tff('3376', plain, (c2 = s(c2)) <= (( zip_tseitin_0(c2, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['3370', '3371'])). 318.63/46.70 tff('3377', plain, (c2 = s(c2)) <= (( zip_tseitin_0(c2, c1))), 318.63/46.70 inference('sup+', [status(thm)], ['3370', '3371'])). 318.63/46.70 tff('3378', plain, (c2 != c2) <= (( zip_tseitin_0(c2, c1))), 318.63/46.70 inference('demod', [status(thm)], ['3374', '3375', '3376', '3377'])). 318.63/46.70 tff('3379', plain, ~ ( zip_tseitin_0(c2, c1)), 318.63/46.70 inference('simplify', [status(thm)], ['3378'])). 318.63/46.70 tff('3380', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c2, X0) = c3 | g(c1, X0) = c5 | g(c1, X0) = c4 | g(c1, X0) = c2), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2793', '2794'])). 318.63/46.70 tff('3381', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.70 tff('3382', plain, 318.63/46.70 (c2 != c4 318.63/46.70 | g(c1, c2) = c4 318.63/46.70 | g(c1, c2) = c5 318.63/46.70 | g(c2, c2) = c3 318.63/46.70 | g(c1, c1) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['3380', '3381'])). 318.63/46.70 tff('3383', plain, g(c1, c1) = c5, 318.63/46.70 inference('sup-', [status(thm)], ['19', '20'])). 318.63/46.70 tff('3384', plain, 318.63/46.70 (c2 != c4 | g(c1, c2) = c4 | g(c1, c2) = c5 | g(c2, c2) = c3 | c5 = c2), 318.63/46.70 inference('demod', [status(thm)], ['3382', '3383'])). 318.63/46.70 tff('3385', plain, c5 != c2, inference('sup-', [status(thm)], ['151', '152'])). 318.63/46.70 tff('3386', plain, 318.63/46.70 (c2 != c4 | g(c1, c2) = c4 | g(c1, c2) = c5 | g(c2, c2) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3384', '3385'])). 318.63/46.70 tff('3387', plain, (g(c1, c2) = c5) <= ((g(c1, c2) = c5)), 318.63/46.70 inference('split', [status(esa)], ['3386'])). 318.63/46.70 tff('3388', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3389', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c2, c1))) <= ((g(c1, c2) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3387', '3388'])). 318.63/46.70 tff('3390', plain, ( zip_tseitin_2(c2, c1)) <= ((g(c1, c2) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3389'])). 318.63/46.70 tff('3391', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3392', plain, 318.63/46.70 (( zip_tseitin_1(c2, c1) | zip_tseitin_0(c2, c1))) <= ((g(c1, c2) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3390', '3391'])). 318.63/46.70 tff('3393', plain, 318.63/46.70 ( zip_tseitin_0(c2, c1)) | ( zip_tseitin_1(c2, c1)) | ~ (g(c1, c2) = c5), 318.63/46.70 inference('split', [status(esa)], ['3392'])). 318.63/46.70 tff('3394', plain, (g(c2, c2) = c4) <= ((g(c2, c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['196'])). 318.63/46.70 tff('3395', plain, (g(c2, c2) = c2) <= ((g(c2, c3) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2294'])). 318.63/46.70 tff('3396', plain, (c4 = c2) <= ((g(c2, c2) = c4) & (g(c2, c3) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3394', '3395'])). 318.63/46.70 tff('3397', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3398', plain, ~ (g(c2, c3) = c4) | ~ (g(c2, c2) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3396', '3397'])). 318.63/46.70 tff('3399', plain, (c3 = c4) <= ((g(c2, c2) = c4) & (g(c2, c2) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3208', '3209'])). 318.63/46.70 tff('3400', plain, (c4 != c3) <= (~ (c4 = c3)), 318.63/46.70 inference('split', [status(esa)], ['300'])). 318.63/46.70 tff('3401', plain, 318.63/46.70 (c4 != c4) <= (~ (c4 = c3) & (g(c2, c2) = c4) & (g(c2, c2) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['3399', '3400'])). 318.63/46.70 tff('3402', plain, ~ (g(c2, c2) = c4) | ~ (g(c2, c2) = c3) | (c4 = c3), 318.63/46.70 inference('simplify', [status(thm)], ['3401'])). 318.63/46.70 tff('3403', plain, (g(c2, c1) = c3) <= ((g(c2, c1) = c3)), 318.63/46.70 inference('split', [status(esa)], ['25'])). 318.63/46.70 tff('3404', plain, ![X0]: (g(c2, X0) != c3 | g(c1, X0) = c1), 318.63/46.70 inference('sup-', [status(thm)], ['297', '298'])). 318.63/46.70 tff('3405', plain, ((c3 != c3 | g(c1, c1) = c1)) <= ((g(c2, c1) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['3403', '3404'])). 318.63/46.70 tff('3406', plain, g(c1, c1) = c5, 318.63/46.70 inference('sup-', [status(thm)], ['19', '20'])). 318.63/46.70 tff('3407', plain, ((c3 != c3 | c5 = c1)) <= ((g(c2, c1) = c3)), 318.63/46.70 inference('demod', [status(thm)], ['3405', '3406'])). 318.63/46.70 tff('3408', plain, (c5 = c1) <= ((g(c2, c1) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['3407'])). 318.63/46.70 tff('3409', plain, c1 != c5, 318.63/46.70 inference('demod', [status(thm)], ['129', '130'])). 318.63/46.70 tff('3410', plain, ~ (g(c2, c1) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3408', '3409'])). 318.63/46.70 tff('3411', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3412', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c2, s(X0)) = c4 318.63/46.70 | g(c3, X0) = c3 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c2, X0) = c5 318.63/46.70 | g(c2, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['2574'])). 318.63/46.70 tff('3413', plain, 318.63/46.70 (g(c2, c2) = c4 318.63/46.70 | g(c2, c1) = c4 318.63/46.70 | g(c2, c1) = c5 318.63/46.70 | g(c2, c1) = c3 318.63/46.70 | g(c3, c1) = c3), 318.63/46.70 inference('sup+', [status(thm)], ['3411', '3412'])). 318.63/46.70 tff('3414', plain, ![X10]: g(X10, c1) != c4, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3415', plain, 318.63/46.70 (g(c2, c2) = c4 | g(c2, c1) = c5 | g(c2, c1) = c3 | g(c3, c1) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3413', '3414'])). 318.63/46.70 tff('3416', plain, 318.63/46.70 (g(c2, c1) = c5) | (g(c2, c2) = c4) | (g(c3, c1) = c3) | (g(c2, c1) = c3), 318.63/46.70 inference('split', [status(esa)], ['3415'])). 318.63/46.70 tff('3417', plain, (g(c2, c1) = c3) <= ((g(c2, c1) = c3)), 318.63/46.70 inference('split', [status(esa)], ['25'])). 318.63/46.70 tff('3418', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3419', plain, 318.63/46.70 ((c3 != c5 | zip_tseitin_2(c1, c2))) <= ((g(c2, c1) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['3417', '3418'])). 318.63/46.70 tff('3420', plain, ( zip_tseitin_2(c1, c2)) <= (( zip_tseitin_2(c1, c2))), 318.63/46.70 inference('split', [status(esa)], ['3419'])). 318.63/46.70 tff('3421', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3422', plain, 318.63/46.70 (( zip_tseitin_1(c1, c2) | zip_tseitin_0(c1, c2))) 318.63/46.70 <= (( zip_tseitin_2(c1, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3420', '3421'])). 318.63/46.70 tff('3423', plain, ( zip_tseitin_1(c1, c2)) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('split', [status(esa)], ['3422'])). 318.63/46.70 tff('3424', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3425', plain, (c2 = c8) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3423', '3424'])). 318.63/46.70 tff('3426', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3427', plain, (c1 = s(c2)) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('sup+', [status(thm)], ['3425', '3426'])). 318.63/46.70 tff('3428', plain, ( zip_tseitin_1(c1, c2)) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('split', [status(esa)], ['3422'])). 318.63/46.70 tff('3429', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3430', plain, (c1 = c8) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3428', '3429'])). 318.63/46.70 tff('3431', plain, (c2 = c8) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3423', '3424'])). 318.63/46.70 tff('3432', plain, (c2 = c1) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('sup+', [status(thm)], ['3430', '3431'])). 318.63/46.70 tff('3433', plain, (c2 = s(c2)) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('demod', [status(thm)], ['3427', '3432'])). 318.63/46.70 tff('3434', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3435', plain, (s(s(s(c2))) != c2) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3433', '3434'])). 318.63/46.70 tff('3436', plain, (c2 = s(c2)) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('demod', [status(thm)], ['3427', '3432'])). 318.63/46.70 tff('3437', plain, (c2 = s(c2)) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('demod', [status(thm)], ['3427', '3432'])). 318.63/46.70 tff('3438', plain, (c2 = s(c2)) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('demod', [status(thm)], ['3427', '3432'])). 318.63/46.70 tff('3439', plain, (c2 != c2) <= (( zip_tseitin_1(c1, c2))), 318.63/46.70 inference('demod', [status(thm)], ['3435', '3436', '3437', '3438'])). 318.63/46.70 tff('3440', plain, ~ ( zip_tseitin_1(c1, c2)), 318.63/46.70 inference('simplify', [status(thm)], ['3439'])). 318.63/46.70 tff('3441', plain, ( zip_tseitin_0(c1, c2)) <= (( zip_tseitin_0(c1, c2))), 318.63/46.70 inference('split', [status(esa)], ['3422'])). 318.63/46.70 tff('3442', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3443', plain, (c2 = c1) <= (( zip_tseitin_0(c1, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3441', '3442'])). 318.63/46.70 tff('3444', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3445', plain, (c2 = s(c2)) <= (( zip_tseitin_0(c1, c2))), 318.63/46.70 inference('sup+', [status(thm)], ['3443', '3444'])). 318.63/46.70 tff('3446', plain, ![X16]: s(s(s(s(X16)))) != X16, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3447', plain, (s(s(s(c2))) != c2) <= (( zip_tseitin_0(c1, c2))), 318.63/46.70 inference('sup-', [status(thm)], ['3445', '3446'])). 318.63/46.70 tff('3448', plain, (c2 = s(c2)) <= (( zip_tseitin_0(c1, c2))), 318.63/46.70 inference('sup+', [status(thm)], ['3443', '3444'])). 318.63/46.70 tff('3449', plain, (c2 = s(c2)) <= (( zip_tseitin_0(c1, c2))), 318.63/46.70 inference('sup+', [status(thm)], ['3443', '3444'])). 318.63/46.70 tff('3450', plain, (c2 = s(c2)) <= (( zip_tseitin_0(c1, c2))), 318.63/46.70 inference('sup+', [status(thm)], ['3443', '3444'])). 318.63/46.70 tff('3451', plain, (c2 != c2) <= (( zip_tseitin_0(c1, c2))), 318.63/46.70 inference('demod', [status(thm)], ['3447', '3448', '3449', '3450'])). 318.63/46.70 tff('3452', plain, ~ ( zip_tseitin_0(c1, c2)), 318.63/46.70 inference('simplify', [status(thm)], ['3451'])). 318.63/46.70 tff('3453', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c3, X0) = c3 318.63/46.70 | g(c2, X0) = c3 318.63/46.70 | g(c2, X0) = c5 318.63/46.70 | g(c2, X0) = c4 318.63/46.70 | g(c2, X0) = c2), 318.63/46.70 inference('sup+', [status(thm)], ['304', '305'])). 318.63/46.70 tff('3454', plain, ![X10]: g(X10, c1) != c4, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3455', plain, 318.63/46.70 (c2 != c4 318.63/46.70 | g(c2, c1) = c4 318.63/46.70 | g(c2, c1) = c5 318.63/46.70 | g(c2, c1) = c3 318.63/46.70 | g(c3, c1) = c3), 318.63/46.70 inference('sup-', [status(thm)], ['3453', '3454'])). 318.63/46.70 tff('3456', plain, ![X10]: g(X10, c1) != c4, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3457', plain, 318.63/46.70 (c2 != c4 | g(c2, c1) = c5 | g(c2, c1) = c3 | g(c3, c1) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3455', '3456'])). 318.63/46.70 tff('3458', plain, (g(c2, c1) = c5) <= ((g(c2, c1) = c5)), 318.63/46.70 inference('split', [status(esa)], ['3457'])). 318.63/46.70 tff('3459', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3460', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c1, c2))) <= ((g(c2, c1) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3458', '3459'])). 318.63/46.70 tff('3461', plain, ( zip_tseitin_2(c1, c2)) <= ((g(c2, c1) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3460'])). 318.63/46.70 tff('3462', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3463', plain, 318.63/46.70 (( zip_tseitin_1(c1, c2) | zip_tseitin_0(c1, c2))) <= ((g(c2, c1) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3461', '3462'])). 318.63/46.70 tff('3464', plain, 318.63/46.70 ( zip_tseitin_0(c1, c2)) | ( zip_tseitin_1(c1, c2)) | ~ (g(c2, c1) = c5), 318.63/46.70 inference('split', [status(esa)], ['3463'])). 318.63/46.70 tff('3465', plain, (g(c3, c1) = c3) <= ((g(c3, c1) = c3)), 318.63/46.70 inference('split', [status(esa)], ['30'])). 318.63/46.70 tff('3466', plain, (g(c3, c1) = c1) <= ((g(c4, c1) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['3126'])). 318.63/46.70 tff('3467', plain, (c3 = c1) <= ((g(c3, c1) = c3) & (g(c4, c1) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3465', '3466'])). 318.63/46.70 tff('3468', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3469', plain, ~ (g(c4, c1) = c3) | ~ (g(c3, c1) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3467', '3468'])). 318.63/46.70 tff('3470', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3471', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c4, s(X0)) = c4 318.63/46.70 | g(c5, X0) = c3 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c4, X0) = c5 318.63/46.70 | g(c4, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['391'])). 318.63/46.70 tff('3472', plain, 318.63/46.70 (g(c4, c2) = c4 318.63/46.70 | g(c4, c1) = c4 318.63/46.70 | g(c4, c1) = c5 318.63/46.70 | g(c4, c1) = c3 318.63/46.70 | g(c5, c1) = c3), 318.63/46.70 inference('sup+', [status(thm)], ['3470', '3471'])). 318.63/46.70 tff('3473', plain, ![X10]: g(X10, c1) != c4, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3474', plain, 318.63/46.70 (g(c4, c2) = c4 | g(c4, c1) = c5 | g(c4, c1) = c3 | g(c5, c1) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3472', '3473'])). 318.63/46.70 tff('3475', plain, 318.63/46.70 (g(c4, c2) = c4) | (g(c4, c1) = c3) | (g(c4, c1) = c5) | (g(c5, c1) = c3), 318.63/46.70 inference('split', [status(esa)], ['3474'])). 318.63/46.70 tff('3476', plain, (g(c4, c1) = c3) <= ((g(c4, c1) = c3)), 318.63/46.70 inference('split', [status(esa)], ['1265'])). 318.63/46.70 tff('3477', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3478', plain, 318.63/46.70 ((c3 != c5 | zip_tseitin_2(c1, c4))) <= ((g(c4, c1) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['3476', '3477'])). 318.63/46.70 tff('3479', plain, ( zip_tseitin_2(c1, c4)) <= (( zip_tseitin_2(c1, c4))), 318.63/46.70 inference('split', [status(esa)], ['3478'])). 318.63/46.70 tff('3480', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3481', plain, 318.63/46.70 (( zip_tseitin_1(c1, c4) | zip_tseitin_0(c1, c4))) 318.63/46.70 <= (( zip_tseitin_2(c1, c4))), 318.63/46.70 inference('sup-', [status(thm)], ['3479', '3480'])). 318.63/46.70 tff('3482', plain, ( zip_tseitin_1(c1, c4)) <= (( zip_tseitin_1(c1, c4))), 318.63/46.70 inference('split', [status(esa)], ['3481'])). 318.63/46.70 tff('3483', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3484', plain, (c4 = c8) <= (( zip_tseitin_1(c1, c4))), 318.63/46.70 inference('sup-', [status(thm)], ['3482', '3483'])). 318.63/46.70 tff('3485', plain, c8 != c4, 318.63/46.70 inference('demod', [status(thm)], ['681', '682'])). 318.63/46.70 tff('3486', plain, ~ ( zip_tseitin_1(c1, c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3484', '3485'])). 318.63/46.70 tff('3487', plain, ( zip_tseitin_0(c1, c4)) <= (( zip_tseitin_0(c1, c4))), 318.63/46.70 inference('split', [status(esa)], ['3481'])). 318.63/46.70 tff('3488', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3489', plain, (c4 = c1) <= (( zip_tseitin_0(c1, c4))), 318.63/46.70 inference('sup-', [status(thm)], ['3487', '3488'])). 318.63/46.70 tff('3490', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3491', plain, ~ ( zip_tseitin_0(c1, c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3489', '3490'])). 318.63/46.70 tff('3492', plain, (g(c4, c1) = c5) <= ((g(c4, c1) = c5)), 318.63/46.70 inference('split', [status(esa)], ['514'])). 318.63/46.70 tff('3493', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3494', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c1, c4))) <= ((g(c4, c1) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3492', '3493'])). 318.63/46.70 tff('3495', plain, ( zip_tseitin_2(c1, c4)) <= ((g(c4, c1) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3494'])). 318.63/46.70 tff('3496', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3497', plain, 318.63/46.70 (( zip_tseitin_1(c1, c4) | zip_tseitin_0(c1, c4))) <= ((g(c4, c1) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3495', '3496'])). 318.63/46.70 tff('3498', plain, 318.63/46.70 ~ (g(c4, c1) = c5) | ( zip_tseitin_0(c1, c4)) | ( zip_tseitin_1(c1, c4)), 318.63/46.70 inference('split', [status(esa)], ['3497'])). 318.63/46.70 tff('3499', plain, (g(c4, c2) = c4) <= ((g(c4, c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['272'])). 318.63/46.70 tff('3500', plain, (g(c4, c2) = c2) <= ((g(c4, c3) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2051'])). 318.63/46.70 tff('3501', plain, (c4 = c2) <= ((g(c4, c3) = c4) & (g(c4, c2) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3499', '3500'])). 318.63/46.70 tff('3502', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3503', plain, ~ (g(c4, c2) = c4) | ~ (g(c4, c3) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3501', '3502'])). 318.63/46.70 tff('3504', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3505', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c4, s(X0)) = c4 318.63/46.70 | g(c5, X0) = c3 318.63/46.70 | g(c4, X0) = c3 318.63/46.70 | g(c4, X0) = c5 318.63/46.70 | g(c4, X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['391'])). 318.63/46.70 tff('3506', plain, 318.63/46.70 (g(c4, c4) = c4 318.63/46.70 | g(c4, c3) = c4 318.63/46.70 | g(c4, c3) = c5 318.63/46.70 | g(c4, c3) = c3 318.63/46.70 | g(c5, c3) = c3), 318.63/46.70 inference('sup+', [status(thm)], ['3504', '3505'])). 318.63/46.70 tff('3507', plain, 318.63/46.70 (g(c4, c3) = c3) | (g(c4, c4) = c4) | (g(c5, c3) = c3) | 318.63/46.70 (g(c4, c3) = c4) | (g(c4, c3) = c5), 318.63/46.70 inference('split', [status(esa)], ['3506'])). 318.63/46.70 tff('3508', plain, (g(c4, c3) = c2) <= ((g(c4, c3) = c2)), 318.63/46.70 inference('split', [status(esa)], ['595'])). 318.63/46.70 tff('3509', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3510', plain, 318.63/46.70 ((c2 != c5 | zip_tseitin_2(c3, c4))) <= ((g(c4, c3) = c2)), 318.63/46.70 inference('sup-', [status(thm)], ['3508', '3509'])). 318.63/46.70 tff('3511', plain, ( zip_tseitin_2(c3, c4)) <= (( zip_tseitin_2(c3, c4))), 318.63/46.70 inference('split', [status(esa)], ['3510'])). 318.63/46.70 tff('3512', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3513', plain, 318.63/46.70 (( zip_tseitin_1(c3, c4) | zip_tseitin_0(c3, c4))) 318.63/46.70 <= (( zip_tseitin_2(c3, c4))), 318.63/46.70 inference('sup-', [status(thm)], ['3511', '3512'])). 318.63/46.70 tff('3514', plain, ( zip_tseitin_1(c3, c4)) <= (( zip_tseitin_1(c3, c4))), 318.63/46.70 inference('split', [status(esa)], ['3513'])). 318.63/46.70 tff('3515', plain, ![X0, X1]: (X1 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3516', plain, (c4 = c8) <= (( zip_tseitin_1(c3, c4))), 318.63/46.70 inference('sup-', [status(thm)], ['3514', '3515'])). 318.63/46.70 tff('3517', plain, c8 != c4, 318.63/46.70 inference('demod', [status(thm)], ['681', '682'])). 318.63/46.70 tff('3518', plain, ~ ( zip_tseitin_1(c3, c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3516', '3517'])). 318.63/46.70 tff('3519', plain, ( zip_tseitin_0(c3, c4)) <= (( zip_tseitin_0(c3, c4))), 318.63/46.70 inference('split', [status(esa)], ['3513'])). 318.63/46.70 tff('3520', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3521', plain, (c3 = c1) <= (( zip_tseitin_0(c3, c4))), 318.63/46.70 inference('sup-', [status(thm)], ['3519', '3520'])). 318.63/46.70 tff('3522', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3523', plain, ~ ( zip_tseitin_0(c3, c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3521', '3522'])). 318.63/46.70 tff('3524', plain, (g(c4, c3) = c5) <= ((g(c4, c3) = c5)), 318.63/46.70 inference('split', [status(esa)], ['263'])). 318.63/46.70 tff('3525', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3526', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c3, c4))) <= ((g(c4, c3) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3524', '3525'])). 318.63/46.70 tff('3527', plain, ( zip_tseitin_2(c3, c4)) <= ((g(c4, c3) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3526'])). 318.63/46.70 tff('3528', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3529', plain, 318.63/46.70 (( zip_tseitin_1(c3, c4) | zip_tseitin_0(c3, c4))) <= ((g(c4, c3) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3527', '3528'])). 318.63/46.70 tff('3530', plain, 318.63/46.70 ~ (g(c4, c3) = c5) | ( zip_tseitin_0(c3, c4)) | ( zip_tseitin_1(c3, c4)), 318.63/46.70 inference('split', [status(esa)], ['3529'])). 318.63/46.70 tff('3531', plain, (g(c3, c3) = c4) <= ((g(c3, c3) = c4)), 318.63/46.70 inference('split', [status(esa)], ['47'])). 318.63/46.70 tff('3532', plain, (g(c3, c3) = c1) <= ((g(c4, c3) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2275'])). 318.63/46.70 tff('3533', plain, (c4 = c1) <= ((g(c3, c3) = c4) & (g(c4, c3) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3531', '3532'])). 318.63/46.70 tff('3534', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3535', plain, ~ (g(c3, c3) = c4) | ~ (g(c4, c3) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3533', '3534'])). 318.63/46.70 tff('3536', plain, (g(c3, c3) = c4) <= ((g(c3, c3) = c4)), 318.63/46.70 inference('split', [status(esa)], ['47'])). 318.63/46.70 tff('3537', plain, (g(c3, c3) = c3) <= ((g(c3, c3) = c3)), 318.63/46.70 inference('split', [status(esa)], ['47'])). 318.63/46.70 tff('3538', plain, (c4 = c3) <= ((g(c3, c3) = c4) & (g(c3, c3) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3536', '3537'])). 318.63/46.70 tff('3539', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('3540', plain, ~ (g(c3, c3) = c4) | ~ (g(c3, c3) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3538', '3539'])). 318.63/46.70 tff('3541', plain, (g(c3, c5) = c4) <= ((g(c3, c5) = c4)), 318.63/46.70 inference('split', [status(esa)], ['491'])). 318.63/46.70 tff('3542', plain, (g(c3, c5) = c2) <= ((g(c3, s(c5)) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2308'])). 318.63/46.70 tff('3543', plain, (c4 = c2) <= ((g(c3, c5) = c4) & (g(c3, s(c5)) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3541', '3542'])). 318.63/46.70 tff('3544', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3545', plain, ~ (g(c3, s(c5)) = c4) | ~ (g(c3, c5) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3543', '3544'])). 318.63/46.70 tff('3546', plain, (g(c3, c5) = c4) <= ((g(c3, c5) = c4)), 318.63/46.70 inference('split', [status(esa)], ['491'])). 318.63/46.70 tff('3547', plain, (g(c3, c5) = c3) <= ((g(c3, c5) = c3)), 318.63/46.70 inference('split', [status(esa)], ['491'])). 318.63/46.70 tff('3548', plain, (c4 = c3) <= ((g(c3, c5) = c4) & (g(c3, c5) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3546', '3547'])). 318.63/46.70 tff('3549', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('3550', plain, ~ (g(c3, c5) = c3) | ~ (g(c3, c5) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3548', '3549'])). 318.63/46.70 tff('3551', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c2, X0) = c3 | g(c1, X0) = c5 | g(c1, X0) = c4 | g(c1, X0) = c2), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['2793', '2794'])). 318.63/46.70 tff('3552', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.70 tff('3553', plain, 318.63/46.70 (c2 != c4 318.63/46.70 | g(c1, c5) = c4 318.63/46.70 | g(c1, c5) = c5 318.63/46.70 | g(c2, c5) = c3 318.63/46.70 | g(c1, c4) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['3551', '3552'])). 318.63/46.70 tff('3554', plain, (g(c1, c5) = c4) <= ((g(c1, c5) = c4)), 318.63/46.70 inference('split', [status(esa)], ['3553'])). 318.63/46.70 tff('3555', plain, (g(c2, c5) = c3) <= ((g(c2, c5) = c3)), 318.63/46.70 inference('split', [status(esa)], ['487'])). 318.63/46.70 tff('3556', plain, ![X0]: (g(c2, X0) != c3 | g(c1, X0) = c1), 318.63/46.70 inference('sup-', [status(thm)], ['297', '298'])). 318.63/46.70 tff('3557', plain, ((c3 != c3 | g(c1, c5) = c1)) <= ((g(c2, c5) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['3555', '3556'])). 318.63/46.70 tff('3558', plain, (g(c1, c5) = c1) <= ((g(c2, c5) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['3557'])). 318.63/46.70 tff('3559', plain, (c4 = c1) <= ((g(c2, c5) = c3) & (g(c1, c5) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3554', '3558'])). 318.63/46.70 tff('3560', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3561', plain, ~ (g(c2, c5) = c3) | ~ (g(c1, c5) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3559', '3560'])). 318.63/46.70 tff('3562', plain, (g(c5, c5) = c3) <= ((g(c5, c5) = c3)), 318.63/46.70 inference('split', [status(esa)], ['425'])). 318.63/46.70 tff('3563', plain, (g(c5, c5) = c4) <= ((g(c5, c4) = c2)), 318.63/46.70 inference('simplify', [status(thm)], ['1724'])). 318.63/46.70 tff('3564', plain, (c3 = c4) <= ((g(c5, c5) = c3) & (g(c5, c4) = c2)), 318.63/46.70 inference('sup+', [status(thm)], ['3562', '3563'])). 318.63/46.70 tff('3565', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('3566', plain, ~ (g(c5, c5) = c3) | ~ (g(c5, c4) = c2), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3564', '3565'])). 318.63/46.70 tff('3567', plain, (g(c4, c5) = c4) <= ((g(c4, c5) = c4)), 318.63/46.70 inference('split', [status(esa)], ['425'])). 318.63/46.70 tff('3568', plain, (g(c4, c5) = c1) <= ((g(c5, c5) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['1313'])). 318.63/46.70 tff('3569', plain, (c4 = c1) <= ((g(c5, c5) = c3) & (g(c4, c5) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3567', '3568'])). 318.63/46.70 tff('3570', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3571', plain, ~ (g(c5, c5) = c3) | ~ (g(c4, c5) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3569', '3570'])). 318.63/46.70 tff('3572', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(s(c5), X0) = c1 318.63/46.70 | g(s(c5), s(X0)) = c3 318.63/46.70 | g(s(c5), s(X0)) = c5 318.63/46.70 | g(s(c5), s(X0)) = c4 318.63/46.70 | g(s(c5), s(X0)) = c2 318.63/46.70 | g(s(s(c5)), X0) = c4 318.63/46.70 | g(s(s(c5)), X0) = c5 318.63/46.70 | g(c8, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['377'])). 318.63/46.70 tff('3573', plain, ![X0]: (g(X0, c2) != c4 | g(X0, c1) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['269', '270'])). 318.63/46.70 tff('3574', plain, 318.63/46.70 (c4 != c4 318.63/46.70 | g(c8, c2) = c3 318.63/46.70 | g(s(s(c5)), c2) = c5 318.63/46.70 | g(s(c5), s(c2)) = c2 318.63/46.70 | g(s(c5), s(c2)) = c4 318.63/46.70 | g(s(c5), s(c2)) = c5 318.63/46.70 | g(s(c5), s(c2)) = c3 318.63/46.70 | g(s(c5), c2) = c1 318.63/46.70 | g(s(s(c5)), c1) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['3572', '3573'])). 318.63/46.70 tff('3575', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3576', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3577', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3578', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3579', plain, 318.63/46.70 (c4 != c4 318.63/46.70 | g(c8, c2) = c3 318.63/46.70 | g(s(s(c5)), c2) = c5 318.63/46.70 | g(s(c5), c3) = c2 318.63/46.70 | g(s(c5), c3) = c4 318.63/46.70 | g(s(c5), c3) = c5 318.63/46.70 | g(s(c5), c3) = c3 318.63/46.70 | g(s(c5), c2) = c1 318.63/46.70 | g(s(s(c5)), c1) = c2), 318.63/46.70 inference('demod', [status(thm)], 318.63/46.70 ['3574', '3575', '3576', '3577', '3578'])). 318.63/46.70 tff('3580', plain, 318.63/46.70 (g(s(s(c5)), c1) = c2 318.63/46.70 | g(s(c5), c2) = c1 318.63/46.70 | g(s(c5), c3) = c3 318.63/46.70 | g(s(c5), c3) = c5 318.63/46.70 | g(s(c5), c3) = c4 318.63/46.70 | g(s(c5), c3) = c2 318.63/46.70 | g(s(s(c5)), c2) = c5 318.63/46.70 | g(c8, c2) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['3579'])). 318.63/46.70 tff('3581', plain, 318.63/46.70 (g(s(s(c5)), c1) = c2) | (g(c8, c2) = c3) | (g(s(s(c5)), c2) = c5) | 318.63/46.70 (g(s(c5), c3) = c3) | (g(s(c5), c3) = c2) | (g(s(c5), c2) = c1) | 318.63/46.70 (g(s(c5), c3) = c5) | (g(s(c5), c3) = c4), 318.63/46.70 inference('split', [status(esa)], ['3580'])). 318.63/46.70 tff('3582', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3583', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c8, s(X0)) = c4 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['641'])). 318.63/46.70 tff('3584', plain, 318.63/46.70 (g(c8, c2) = c4 | g(c8, c1) = c3 | g(c8, c1) = c5 | g(c8, c1) = c4), 318.63/46.70 inference('sup+', [status(thm)], ['3582', '3583'])). 318.63/46.70 tff('3585', plain, ![X10]: g(X10, c1) != c4, 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3586', plain, (g(c8, c2) = c4 | g(c8, c1) = c3 | g(c8, c1) = c5), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3584', '3585'])). 318.63/46.70 tff('3587', plain, (g(c8, c1) = c3) | (g(c8, c2) = c4) | (g(c8, c1) = c5), 318.63/46.70 inference('split', [status(esa)], ['3586'])). 318.63/46.70 tff('3588', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3589', plain, (g(c8, c1) = c2) <= ((g(c8, c1) = c2)), 318.63/46.70 inference('split', [status(esa)], ['1102'])). 318.63/46.70 tff('3590', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3591', plain, 318.63/46.70 ((c2 != c5 | zip_tseitin_2(c1, c8))) <= ((g(c8, c1) = c2)), 318.63/46.70 inference('sup-', [status(thm)], ['3589', '3590'])). 318.63/46.70 tff('3592', plain, ( zip_tseitin_2(c1, c8)) <= (( zip_tseitin_2(c1, c8))), 318.63/46.70 inference('split', [status(esa)], ['3591'])). 318.63/46.70 tff('3593', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3594', plain, 318.63/46.70 (( zip_tseitin_1(c1, c8) | zip_tseitin_0(c1, c8))) 318.63/46.70 <= (( zip_tseitin_2(c1, c8))), 318.63/46.70 inference('sup-', [status(thm)], ['3592', '3593'])). 318.63/46.70 tff('3595', plain, ( zip_tseitin_0(c1, c8)) <= (( zip_tseitin_0(c1, c8))), 318.63/46.70 inference('split', [status(esa)], ['3594'])). 318.63/46.70 tff('3596', plain, ![X0, X1]: (X1 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3597', plain, (c8 = c1) <= (( zip_tseitin_0(c1, c8))), 318.63/46.70 inference('sup-', [status(thm)], ['3595', '3596'])). 318.63/46.70 tff('3598', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3599', plain, (c1 = s(c1)) <= (( zip_tseitin_0(c1, c8))), 318.63/46.70 inference('sup+', [status(thm)], ['3597', '3598'])). 318.63/46.70 tff('3600', plain, (c1 = c2) <= (( zip_tseitin_0(c1, c8))), 318.63/46.70 inference('sup+', [status(thm)], ['3588', '3599'])). 318.63/46.70 tff('3601', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3602', plain, ~ ( zip_tseitin_0(c1, c8)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3600', '3601'])). 318.63/46.70 tff('3603', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3604', plain, ( zip_tseitin_1(c1, c8)) <= (( zip_tseitin_1(c1, c8))), 318.63/46.70 inference('split', [status(esa)], ['3594'])). 318.63/46.70 tff('3605', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3606', plain, (c1 = c8) <= (( zip_tseitin_1(c1, c8))), 318.63/46.70 inference('sup-', [status(thm)], ['3604', '3605'])). 318.63/46.70 tff('3607', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3608', plain, (c1 = s(c1)) <= (( zip_tseitin_1(c1, c8))), 318.63/46.70 inference('sup+', [status(thm)], ['3606', '3607'])). 318.63/46.70 tff('3609', plain, (c1 = c2) <= (( zip_tseitin_1(c1, c8))), 318.63/46.70 inference('sup+', [status(thm)], ['3603', '3608'])). 318.63/46.70 tff('3610', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3611', plain, ~ ( zip_tseitin_1(c1, c8)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3609', '3610'])). 318.63/46.70 tff('3612', plain, (g(c8, c1) = c5) <= ((g(c8, c1) = c5)), 318.63/46.70 inference('split', [status(esa)], ['1601'])). 318.63/46.70 tff('3613', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3614', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c1, c8))) <= ((g(c8, c1) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3612', '3613'])). 318.63/46.70 tff('3615', plain, ( zip_tseitin_2(c1, c8)) <= ((g(c8, c1) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3614'])). 318.63/46.70 tff('3616', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3617', plain, 318.63/46.70 (( zip_tseitin_1(c1, c8) | zip_tseitin_0(c1, c8))) <= ((g(c8, c1) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3615', '3616'])). 318.63/46.70 tff('3618', plain, 318.63/46.70 ~ (g(c8, c1) = c5) | ( zip_tseitin_1(c1, c8)) | ( zip_tseitin_0(c1, c8)), 318.63/46.70 inference('split', [status(esa)], ['3617'])). 318.63/46.70 tff('3619', plain, (g(c8, c2) = c3) <= ((g(c8, c2) = c3)), 318.63/46.70 inference('split', [status(esa)], ['1102'])). 318.63/46.70 tff('3620', plain, (g(c8, c3) = c4) <= ((g(c8, c3) = c4)), 318.63/46.70 inference('split', [status(esa)], ['1582'])). 318.63/46.70 tff('3621', plain, ![X0]: (g(X0, c3) != c4 | g(X0, c2) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['260', '261'])). 318.63/46.70 tff('3622', plain, ((c4 != c4 | g(c8, c2) = c2)) <= ((g(c8, c3) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3620', '3621'])). 318.63/46.70 tff('3623', plain, (g(c8, c2) = c2) <= ((g(c8, c3) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['3622'])). 318.63/46.70 tff('3624', plain, (c3 = c2) <= ((g(c8, c3) = c4) & (g(c8, c2) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3619', '3623'])). 318.63/46.70 tff('3625', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('3626', plain, ~ (g(c8, c2) = c3) | ~ (g(c8, c3) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3624', '3625'])). 318.63/46.70 tff('3627', plain, (g(c8, c2) = c4) <= ((g(c8, c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['1102'])). 318.63/46.70 tff('3628', plain, (g(c8, c2) = c2) <= ((g(c8, c3) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['3622'])). 318.63/46.70 tff('3629', plain, (c4 = c2) <= ((g(c8, c3) = c4) & (g(c8, c2) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3627', '3628'])). 318.63/46.70 tff('3630', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3631', plain, ~ (g(c8, c2) = c4) | ~ (g(c8, c3) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3629', '3630'])). 318.63/46.70 tff('3632', plain, (g(s(c5), c2) = c3) <= ((g(s(c5), c2) = c3)), 318.63/46.70 inference('split', [status(esa)], ['275'])). 318.63/46.70 tff('3633', plain, (g(s(c5), c2) = c1) <= ((g(s(c5), c2) = c1)), 318.63/46.70 inference('split', [status(esa)], ['1638'])). 318.63/46.70 tff('3634', plain, (c3 = c1) <= ((g(s(c5), c2) = c3) & (g(s(c5), c2) = c1)), 318.63/46.70 inference('sup+', [status(thm)], ['3632', '3633'])). 318.63/46.70 tff('3635', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3636', plain, ~ (g(s(c5), c2) = c1) | ~ (g(s(c5), c2) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3634', '3635'])). 318.63/46.70 tff('3637', plain, 318.63/46.70 ~ (g(s(s(c5)), c5) = c4) | (g(s(c5), c5) = c4) | (g(s(c5), c5) = c3) | 318.63/46.70 (g(s(c5), c5) = c2) | (g(s(c5), c5) = c5), 318.63/46.70 inference('split', [status(esa)], ['585'])). 318.63/46.70 tff('3638', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('3639', plain, (g(s(s(c5)), c5) = c1) <= ((g(c8, c5) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['1378'])). 318.63/46.70 tff('3640', plain, 318.63/46.70 ((c3 = c1 318.63/46.70 | g(s(c5), c5) = c3 318.63/46.70 | g(s(c5), c5) = c5 318.63/46.70 | g(s(c5), c5) = c4 318.63/46.70 | g(s(c5), c5) = c2)) <= ((g(c8, c5) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3638', '3639'])). 318.63/46.70 tff('3641', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3642', plain, 318.63/46.70 ((g(s(c5), c5) = c3 318.63/46.70 | g(s(c5), c5) = c5 318.63/46.70 | g(s(c5), c5) = c4 318.63/46.70 | g(s(c5), c5) = c2)) <= ((g(c8, c5) = c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3640', '3641'])). 318.63/46.70 tff('3643', plain, 318.63/46.70 ~ (g(c8, c5) = c3) | (g(s(c5), c5) = c4) | (g(s(c5), c5) = c3) | 318.63/46.70 (g(s(c5), c5) = c5) | (g(s(c5), c5) = c2), 318.63/46.70 inference('split', [status(esa)], ['3642'])). 318.63/46.70 tff('3644', plain, (g(s(c5), c5) = c3) <= ((g(s(c5), c5) = c3)), 318.63/46.70 inference('split', [status(esa)], ['428'])). 318.63/46.70 tff('3645', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3646', plain, 318.63/46.70 ((c3 != c5 | zip_tseitin_2(c5, s(c5)))) <= ((g(s(c5), c5) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['3644', '3645'])). 318.63/46.70 tff('3647', plain, 318.63/46.70 ( zip_tseitin_2(c5, s(c5))) <= (( zip_tseitin_2(c5, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3646'])). 318.63/46.70 tff('3648', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3649', plain, 318.63/46.70 (( zip_tseitin_1(c5, s(c5)) | zip_tseitin_0(c5, s(c5)))) 318.63/46.70 <= (( zip_tseitin_2(c5, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3647', '3648'])). 318.63/46.70 tff('3650', plain, 318.63/46.70 ( zip_tseitin_0(c5, s(c5))) <= (( zip_tseitin_0(c5, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3649'])). 318.63/46.70 tff('3651', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3652', plain, (c5 = c1) <= (( zip_tseitin_0(c5, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3650', '3651'])). 318.63/46.70 tff('3653', plain, c1 != c5, 318.63/46.70 inference('demod', [status(thm)], ['129', '130'])). 318.63/46.70 tff('3654', plain, ~ ( zip_tseitin_0(c5, s(c5))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3652', '3653'])). 318.63/46.70 tff('3655', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3656', plain, 318.63/46.70 ( zip_tseitin_1(c5, s(c5))) <= (( zip_tseitin_1(c5, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3649'])). 318.63/46.70 tff('3657', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3658', plain, (c5 = c8) <= (( zip_tseitin_1(c5, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3656', '3657'])). 318.63/46.70 tff('3659', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3660', plain, (c1 = s(c5)) <= (( zip_tseitin_1(c5, s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['3658', '3659'])). 318.63/46.70 tff('3661', plain, s(s(s(c5))) = c8, 318.63/46.70 inference('demod', [status(thm)], ['65', '66', '67', '68', '69', '70'])). 318.63/46.70 tff('3662', plain, (s(s(c1)) = c8) <= (( zip_tseitin_1(c5, s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['3660', '3661'])). 318.63/46.70 tff('3663', plain, c2 = s(c1), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3664', plain, (c5 = c8) <= (( zip_tseitin_1(c5, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3656', '3657'])). 318.63/46.70 tff('3665', plain, (s(c2) = c5) <= (( zip_tseitin_1(c5, s(c5)))), 318.63/46.70 inference('demod', [status(thm)], ['3662', '3663', '3664'])). 318.63/46.70 tff('3666', plain, (c3 = c5) <= (( zip_tseitin_1(c5, s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['3655', '3665'])). 318.63/46.70 tff('3667', plain, c5 != c3, inference('sup-', [status(thm)], ['311', '312'])). 318.63/46.70 tff('3668', plain, ~ ( zip_tseitin_1(c5, s(c5))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3666', '3667'])). 318.63/46.70 tff('3669', plain, (g(s(c5), c5) = c5) <= ((g(s(c5), c5) = c5)), 318.63/46.70 inference('split', [status(esa)], ['585'])). 318.63/46.70 tff('3670', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3671', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c5, s(c5)))) <= ((g(s(c5), c5) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3669', '3670'])). 318.63/46.70 tff('3672', plain, ( zip_tseitin_2(c5, s(c5))) <= ((g(s(c5), c5) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3671'])). 318.63/46.70 tff('3673', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3674', plain, 318.63/46.70 (( zip_tseitin_1(c5, s(c5)) | zip_tseitin_0(c5, s(c5)))) 318.63/46.70 <= ((g(s(c5), c5) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3672', '3673'])). 318.63/46.70 tff('3675', plain, 318.63/46.70 ~ (g(s(c5), c5) = c5) | ( zip_tseitin_1(c5, s(c5))) | 318.63/46.70 ( zip_tseitin_0(c5, s(c5))), inference('split', [status(esa)], ['3674'])). 318.63/46.70 tff('3676', plain, (g(s(s(c5)), c5) = c4) <= ((g(s(s(c5)), c5) = c4)), 318.63/46.70 inference('split', [status(esa)], ['331'])). 318.63/46.70 tff('3677', plain, (g(s(s(c5)), c5) = c1) <= ((g(c8, c5) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['1378'])). 318.63/46.70 tff('3678', plain, (c4 = c1) <= ((g(c8, c5) = c3) & (g(s(s(c5)), c5) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3676', '3677'])). 318.63/46.70 tff('3679', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3680', plain, ~ (g(c8, c5) = c3) | ~ (g(s(s(c5)), c5) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3678', '3679'])). 318.63/46.70 tff('3681', plain, (g(c8, c4) = c4) <= ((g(c8, c4) = c4)), 318.63/46.70 inference('split', [status(esa)], ['466'])). 318.63/46.70 tff('3682', plain, (g(c8, c4) = c3) <= ((g(c8, c4) = c3)), 318.63/46.70 inference('split', [status(esa)], ['466'])). 318.63/46.70 tff('3683', plain, (c4 = c3) <= ((g(c8, c4) = c4) & (g(c8, c4) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3681', '3682'])). 318.63/46.70 tff('3684', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('3685', plain, ~ (g(c8, c4) = c3) | ~ (g(c8, c4) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3683', '3684'])). 318.63/46.70 tff('3686', plain, (g(s(c5), c4) = c1) <= ((g(s(s(c5)), c4) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2071'])). 318.63/46.70 tff('3687', plain, (g(s(c5), c4) = c2) <= ((g(s(c5), c5) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['588'])). 318.63/46.70 tff('3688', plain, 318.63/46.70 (c1 = c2) <= ((g(s(s(c5)), c4) = c3) & (g(s(c5), c5) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3686', '3687'])). 318.63/46.70 tff('3689', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3690', plain, ~ (g(s(s(c5)), c4) = c3) | ~ (g(s(c5), c5) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3688', '3689'])). 318.63/46.70 tff('3691', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('3692', plain, (g(s(s(c5)), c3) = c2) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2103'])). 318.63/46.70 tff('3693', plain, 318.63/46.70 ((c3 = c2 318.63/46.70 | g(s(c5), c3) = c3 318.63/46.70 | g(s(c5), c3) = c5 318.63/46.70 | g(s(c5), c3) = c4 318.63/46.70 | g(s(c5), c3) = c2)) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3691', '3692'])). 318.63/46.70 tff('3694', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('3695', plain, 318.63/46.70 ((g(s(c5), c3) = c3 318.63/46.70 | g(s(c5), c3) = c5 318.63/46.70 | g(s(c5), c3) = c4 318.63/46.70 | g(s(c5), c3) = c2)) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3693', '3694'])). 318.63/46.70 tff('3696', plain, 318.63/46.70 ~ (g(s(s(c5)), c4) = c4) | (g(s(c5), c3) = c3) | (g(s(c5), c3) = c4) | 318.63/46.70 (g(s(c5), c3) = c2) | (g(s(c5), c3) = c5), 318.63/46.70 inference('split', [status(esa)], ['3695'])). 318.63/46.70 tff('3697', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3698', plain, (s(c2) = c5) <= (( zip_tseitin_1(c5, c8))), 318.63/46.70 inference('demod', [status(thm)], ['2207', '2208', '2209'])). 318.63/46.70 tff('3699', plain, (c3 = c5) <= (( zip_tseitin_1(c5, c8))), 318.63/46.70 inference('sup+', [status(thm)], ['3697', '3698'])). 318.63/46.70 tff('3700', plain, c5 != c3, inference('sup-', [status(thm)], ['311', '312'])). 318.63/46.70 tff('3701', plain, ~ ( zip_tseitin_1(c5, c8)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3699', '3700'])). 318.63/46.70 tff('3702', plain, ( zip_tseitin_0(c5, c8)) <= (( zip_tseitin_0(c5, c8))), 318.63/46.70 inference('split', [status(esa)], ['2200'])). 318.63/46.70 tff('3703', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3704', plain, (c5 = c1) <= (( zip_tseitin_0(c5, c8))), 318.63/46.70 inference('sup-', [status(thm)], ['3702', '3703'])). 318.63/46.70 tff('3705', plain, c1 != c5, 318.63/46.70 inference('demod', [status(thm)], ['129', '130'])). 318.63/46.70 tff('3706', plain, ~ ( zip_tseitin_0(c5, c8)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3704', '3705'])). 318.63/46.70 tff('3707', plain, (g(c8, c5) = c5) <= ((g(c8, c5) = c5)), 318.63/46.70 inference('split', [status(esa)], ['633'])). 318.63/46.70 tff('3708', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3709', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c5, c8))) <= ((g(c8, c5) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3707', '3708'])). 318.63/46.70 tff('3710', plain, ( zip_tseitin_2(c5, c8)) <= ((g(c8, c5) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3709'])). 318.63/46.70 tff('3711', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3712', plain, 318.63/46.70 (( zip_tseitin_1(c5, c8) | zip_tseitin_0(c5, c8))) <= ((g(c8, c5) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3710', '3711'])). 318.63/46.70 tff('3713', plain, 318.63/46.70 ~ (g(c8, c5) = c5) | ( zip_tseitin_0(c5, c8)) | ( zip_tseitin_1(c5, c8)), 318.63/46.70 inference('split', [status(esa)], ['3712'])). 318.63/46.70 tff('3714', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c8, s(X0)) = c4 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['641'])). 318.63/46.70 tff('3715', plain, (g(c8, s(c5)) = c2) <= ((g(c8, s(s(c5))) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['650'])). 318.63/46.70 tff('3716', plain, 318.63/46.70 ((c4 = c2 | g(c8, c5) = c3 | g(c8, c5) = c5 | g(c8, c5) = c4)) 318.63/46.70 <= ((g(c8, s(s(c5))) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3714', '3715'])). 318.63/46.70 tff('3717', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3718', plain, 318.63/46.70 ((g(c8, c5) = c3 | g(c8, c5) = c5 | g(c8, c5) = c4)) 318.63/46.70 <= ((g(c8, s(s(c5))) = c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3716', '3717'])). 318.63/46.70 tff('3719', plain, 318.63/46.70 (g(c8, c5) = c5) | (g(c8, c5) = c3) | (g(c8, c5) = c4) | 318.63/46.70 ~ (g(c8, s(s(c5))) = c4), inference('split', [status(esa)], ['3718'])). 318.63/46.70 tff('3720', plain, (g(s(c5), c4) = c2) <= ((g(s(c5), c5) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['588'])). 318.63/46.70 tff('3721', plain, (g(s(c5), c4) = c4) <= ((g(s(c5), c3) = c2)), 318.63/46.70 inference('simplify', [status(thm)], ['794'])). 318.63/46.70 tff('3722', plain, (c2 = c4) <= ((g(s(c5), c5) = c4) & (g(s(c5), c3) = c2)), 318.63/46.70 inference('sup+', [status(thm)], ['3720', '3721'])). 318.63/46.70 tff('3723', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3724', plain, ~ (g(s(c5), c3) = c2) | ~ (g(s(c5), c5) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3722', '3723'])). 318.63/46.70 tff('3725', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3726', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(c8, s(X0)) = c4 | g(c8, X0) = c4 | g(c8, X0) = c5 | g(c8, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['641'])). 318.63/46.70 tff('3727', plain, 318.63/46.70 (g(c8, c4) = c4 | g(c8, c3) = c3 | g(c8, c3) = c5 | g(c8, c3) = c4), 318.63/46.70 inference('sup+', [status(thm)], ['3725', '3726'])). 318.63/46.70 tff('3728', plain, 318.63/46.70 (g(c8, c3) = c4) | (g(c8, c3) = c3) | (g(c8, c3) = c5) | (g(c8, c4) = c4), 318.63/46.70 inference('split', [status(esa)], ['3727'])). 318.63/46.70 tff('3729', plain, (g(c8, c3) = c2) <= ((g(c8, c3) = c2)), 318.63/46.70 inference('split', [status(esa)], ['466'])). 318.63/46.70 tff('3730', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3731', plain, 318.63/46.70 ((c2 != c5 | zip_tseitin_2(c3, c8))) <= ((g(c8, c3) = c2)), 318.63/46.70 inference('sup-', [status(thm)], ['3729', '3730'])). 318.63/46.70 tff('3732', plain, ( zip_tseitin_2(c3, c8)) <= (( zip_tseitin_2(c3, c8))), 318.63/46.70 inference('split', [status(esa)], ['3731'])). 318.63/46.70 tff('3733', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3734', plain, 318.63/46.70 (( zip_tseitin_1(c3, c8) | zip_tseitin_0(c3, c8))) 318.63/46.70 <= (( zip_tseitin_2(c3, c8))), 318.63/46.70 inference('sup-', [status(thm)], ['3732', '3733'])). 318.63/46.70 tff('3735', plain, ( zip_tseitin_0(c3, c8)) <= (( zip_tseitin_0(c3, c8))), 318.63/46.70 inference('split', [status(esa)], ['3734'])). 318.63/46.70 tff('3736', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3737', plain, (c3 = c1) <= (( zip_tseitin_0(c3, c8))), 318.63/46.70 inference('sup-', [status(thm)], ['3735', '3736'])). 318.63/46.70 tff('3738', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3739', plain, ~ ( zip_tseitin_0(c3, c8)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3737', '3738'])). 318.63/46.70 tff('3740', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3741', plain, ( zip_tseitin_1(c3, c8)) <= (( zip_tseitin_1(c3, c8))), 318.63/46.70 inference('split', [status(esa)], ['3734'])). 318.63/46.70 tff('3742', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3743', plain, (c3 = c8) <= (( zip_tseitin_1(c3, c8))), 318.63/46.70 inference('sup-', [status(thm)], ['3741', '3742'])). 318.63/46.70 tff('3744', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3745', plain, (c1 = s(c3)) <= (( zip_tseitin_1(c3, c8))), 318.63/46.70 inference('sup+', [status(thm)], ['3743', '3744'])). 318.63/46.70 tff('3746', plain, (c1 = c4) <= (( zip_tseitin_1(c3, c8))), 318.63/46.70 inference('sup+', [status(thm)], ['3740', '3745'])). 318.63/46.70 tff('3747', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3748', plain, ~ ( zip_tseitin_1(c3, c8)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3746', '3747'])). 318.63/46.70 tff('3749', plain, (g(c8, c3) = c5) <= ((g(c8, c3) = c5)), 318.63/46.70 inference('split', [status(esa)], ['1582'])). 318.63/46.70 tff('3750', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3751', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c3, c8))) <= ((g(c8, c3) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3749', '3750'])). 318.63/46.70 tff('3752', plain, ( zip_tseitin_2(c3, c8)) <= ((g(c8, c3) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3751'])). 318.63/46.70 tff('3753', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3754', plain, 318.63/46.70 (( zip_tseitin_1(c3, c8) | zip_tseitin_0(c3, c8))) <= ((g(c8, c3) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3752', '3753'])). 318.63/46.70 tff('3755', plain, 318.63/46.70 ~ (g(c8, c3) = c5) | ( zip_tseitin_1(c3, c8)) | ( zip_tseitin_0(c3, c8)), 318.63/46.70 inference('split', [status(esa)], ['3754'])). 318.63/46.70 tff('3756', plain, (g(c8, c4) = c3) <= ((g(c8, c4) = c3)), 318.63/46.70 inference('split', [status(esa)], ['466'])). 318.63/46.70 tff('3757', plain, (g(c8, c5) = c4) <= ((g(c8, c5) = c4)), 318.63/46.70 inference('split', [status(esa)], ['633'])). 318.63/46.70 tff('3758', plain, ![X0]: (g(X0, c5) != c4 | g(X0, c4) = c2), 318.63/46.70 inference('sup-', [status(thm)], ['328', '329'])). 318.63/46.70 tff('3759', plain, ((c4 != c4 | g(c8, c4) = c2)) <= ((g(c8, c5) = c4)), 318.63/46.70 inference('sup-', [status(thm)], ['3757', '3758'])). 318.63/46.70 tff('3760', plain, (g(c8, c4) = c2) <= ((g(c8, c5) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['3759'])). 318.63/46.70 tff('3761', plain, (c3 = c2) <= ((g(c8, c5) = c4) & (g(c8, c4) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3756', '3760'])). 318.63/46.70 tff('3762', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('3763', plain, ~ (g(c8, c4) = c3) | ~ (g(c8, c5) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3761', '3762'])). 318.63/46.70 tff('3764', plain, (g(c8, c4) = c4) <= ((g(c8, c4) = c4)), 318.63/46.70 inference('split', [status(esa)], ['466'])). 318.63/46.70 tff('3765', plain, (g(c8, c4) = c2) <= ((g(c8, c5) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['3759'])). 318.63/46.70 tff('3766', plain, (c4 = c2) <= ((g(c8, c5) = c4) & (g(c8, c4) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3764', '3765'])). 318.63/46.70 tff('3767', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3768', plain, ~ (g(c8, c4) = c4) | ~ (g(c8, c5) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3766', '3767'])). 318.63/46.70 tff('3769', plain, c5 = s(c4), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3770', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(s(s(c5)), s(X0)) = c4 318.63/46.70 | g(c8, X0) = c3 318.63/46.70 | g(s(s(c5)), X0) = c3 318.63/46.70 | g(s(s(c5)), X0) = c5 318.63/46.70 | g(s(s(c5)), X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['245'])). 318.63/46.70 tff('3771', plain, 318.63/46.70 (g(s(s(c5)), c5) = c4 318.63/46.70 | g(s(s(c5)), c4) = c4 318.63/46.70 | g(s(s(c5)), c4) = c5 318.63/46.70 | g(s(s(c5)), c4) = c3 318.63/46.70 | g(c8, c4) = c3), 318.63/46.70 inference('sup+', [status(thm)], ['3769', '3770'])). 318.63/46.70 tff('3772', plain, 318.63/46.70 (g(s(s(c5)), c4) = c3) | (g(s(s(c5)), c4) = c4) | (g(c8, c4) = c3) | 318.63/46.70 (g(s(s(c5)), c5) = c4) | (g(s(s(c5)), c4) = c5), 318.63/46.70 inference('split', [status(esa)], ['3771'])). 318.63/46.70 tff('3773', plain, (g(s(s(c5)), c4) = c2) <= ((g(s(s(c5)), c4) = c2)), 318.63/46.70 inference('split', [status(esa)], ['331'])). 318.63/46.70 tff('3774', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3775', plain, 318.63/46.70 ((c2 != c5 | zip_tseitin_2(c4, s(s(c5))))) <= ((g(s(s(c5)), c4) = c2)), 318.63/46.70 inference('sup-', [status(thm)], ['3773', '3774'])). 318.63/46.70 tff('3776', plain, 318.63/46.70 ( zip_tseitin_2(c4, s(s(c5)))) <= (( zip_tseitin_2(c4, s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['3775'])). 318.63/46.70 tff('3777', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3778', plain, 318.63/46.70 (( zip_tseitin_1(c4, s(s(c5))) | zip_tseitin_0(c4, s(s(c5))))) 318.63/46.70 <= (( zip_tseitin_2(c4, s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['3776', '3777'])). 318.63/46.70 tff('3779', plain, 318.63/46.70 ( zip_tseitin_1(c4, s(s(c5)))) <= (( zip_tseitin_1(c4, s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['3778'])). 318.63/46.70 tff('3780', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3781', plain, (c4 = c8) <= (( zip_tseitin_1(c4, s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['3779', '3780'])). 318.63/46.70 tff('3782', plain, c8 != c4, 318.63/46.70 inference('demod', [status(thm)], ['681', '682'])). 318.63/46.70 tff('3783', plain, ~ ( zip_tseitin_1(c4, s(s(c5)))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3781', '3782'])). 318.63/46.70 tff('3784', plain, 318.63/46.70 ( zip_tseitin_0(c4, s(s(c5)))) <= (( zip_tseitin_0(c4, s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['3778'])). 318.63/46.70 tff('3785', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3786', plain, (c4 = c1) <= (( zip_tseitin_0(c4, s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['3784', '3785'])). 318.63/46.70 tff('3787', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3788', plain, ~ ( zip_tseitin_0(c4, s(s(c5)))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3786', '3787'])). 318.63/46.70 tff('3789', plain, (g(s(s(c5)), c4) = c5) <= ((g(s(s(c5)), c4) = c5)), 318.63/46.70 inference('split', [status(esa)], ['287'])). 318.63/46.70 tff('3790', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3791', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c4, s(s(c5))))) <= ((g(s(s(c5)), c4) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3789', '3790'])). 318.63/46.70 tff('3792', plain, 318.63/46.70 ( zip_tseitin_2(c4, s(s(c5)))) <= ((g(s(s(c5)), c4) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3791'])). 318.63/46.70 tff('3793', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3794', plain, 318.63/46.70 (( zip_tseitin_1(c4, s(s(c5))) | zip_tseitin_0(c4, s(s(c5))))) 318.63/46.70 <= ((g(s(s(c5)), c4) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3792', '3793'])). 318.63/46.70 tff('3795', plain, 318.63/46.70 ~ (g(s(s(c5)), c4) = c5) | ( zip_tseitin_0(c4, s(s(c5)))) | 318.63/46.70 ( zip_tseitin_1(c4, s(s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3794'])). 318.63/46.70 tff('3796', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('3797', plain, (g(s(s(c5)), c3) = c1) <= ((g(c8, c3) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['1742'])). 318.63/46.70 tff('3798', plain, 318.63/46.70 ((c3 = c1 318.63/46.70 | g(s(c5), c3) = c3 318.63/46.70 | g(s(c5), c3) = c5 318.63/46.70 | g(s(c5), c3) = c4 318.63/46.70 | g(s(c5), c3) = c2)) <= ((g(c8, c3) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3796', '3797'])). 318.63/46.70 tff('3799', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3800', plain, 318.63/46.70 ((g(s(c5), c3) = c3 318.63/46.70 | g(s(c5), c3) = c5 318.63/46.70 | g(s(c5), c3) = c4 318.63/46.70 | g(s(c5), c3) = c2)) <= ((g(c8, c3) = c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3798', '3799'])). 318.63/46.70 tff('3801', plain, 318.63/46.70 ~ (g(c8, c3) = c3) | (g(s(c5), c3) = c3) | (g(s(c5), c3) = c5) | 318.63/46.70 (g(s(c5), c3) = c4) | (g(s(c5), c3) = c2), 318.63/46.70 inference('split', [status(esa)], ['3800'])). 318.63/46.70 tff('3802', plain, (g(s(c5), c3) = c3) <= ((g(s(c5), c3) = c3)), 318.63/46.70 inference('split', [status(esa)], ['412'])). 318.63/46.70 tff('3803', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3804', plain, 318.63/46.70 ((c3 != c5 | zip_tseitin_2(c3, s(c5)))) <= ((g(s(c5), c3) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['3802', '3803'])). 318.63/46.70 tff('3805', plain, 318.63/46.70 ( zip_tseitin_2(c3, s(c5))) <= (( zip_tseitin_2(c3, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3804'])). 318.63/46.70 tff('3806', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3807', plain, 318.63/46.70 (( zip_tseitin_1(c3, s(c5)) | zip_tseitin_0(c3, s(c5)))) 318.63/46.70 <= (( zip_tseitin_2(c3, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3805', '3806'])). 318.63/46.70 tff('3808', plain, 318.63/46.70 ( zip_tseitin_0(c3, s(c5))) <= (( zip_tseitin_0(c3, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3807'])). 318.63/46.70 tff('3809', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3810', plain, (c3 = c1) <= (( zip_tseitin_0(c3, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3808', '3809'])). 318.63/46.70 tff('3811', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3812', plain, ~ ( zip_tseitin_0(c3, s(c5))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3810', '3811'])). 318.63/46.70 tff('3813', plain, c4 = s(c3), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3814', plain, 318.63/46.70 ( zip_tseitin_1(c3, s(c5))) <= (( zip_tseitin_1(c3, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3807'])). 318.63/46.70 tff('3815', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3816', plain, (c3 = c8) <= (( zip_tseitin_1(c3, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3814', '3815'])). 318.63/46.70 tff('3817', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3818', plain, (c1 = s(c3)) <= (( zip_tseitin_1(c3, s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['3816', '3817'])). 318.63/46.70 tff('3819', plain, (c1 = c4) <= (( zip_tseitin_1(c3, s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['3813', '3818'])). 318.63/46.70 tff('3820', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3821', plain, ~ ( zip_tseitin_1(c3, s(c5))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3819', '3820'])). 318.63/46.70 tff('3822', plain, (g(s(c5), c3) = c5) <= ((g(s(c5), c3) = c5)), 318.63/46.70 inference('split', [status(esa)], ['418'])). 318.63/46.70 tff('3823', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3824', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c3, s(c5)))) <= ((g(s(c5), c3) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3822', '3823'])). 318.63/46.70 tff('3825', plain, ( zip_tseitin_2(c3, s(c5))) <= ((g(s(c5), c3) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3824'])). 318.63/46.70 tff('3826', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3827', plain, 318.63/46.70 (( zip_tseitin_1(c3, s(c5)) | zip_tseitin_0(c3, s(c5)))) 318.63/46.70 <= ((g(s(c5), c3) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3825', '3826'])). 318.63/46.70 tff('3828', plain, 318.63/46.70 ~ (g(s(c5), c3) = c5) | ( zip_tseitin_1(c3, s(c5))) | 318.63/46.70 ( zip_tseitin_0(c3, s(c5))), inference('split', [status(esa)], ['3827'])). 318.63/46.70 tff('3829', plain, (g(s(s(c5)), c3) = c1) <= ((g(c8, c3) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['1742'])). 318.63/46.70 tff('3830', plain, (g(s(s(c5)), c3) = c2) <= ((g(s(s(c5)), c4) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['2103'])). 318.63/46.70 tff('3831', plain, (c1 = c2) <= ((g(c8, c3) = c3) & (g(s(s(c5)), c4) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3829', '3830'])). 318.63/46.70 tff('3832', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3833', plain, ~ (g(c8, c3) = c3) | ~ (g(s(s(c5)), c4) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3831', '3832'])). 318.63/46.70 tff('3834', plain, (g(s(c5), c4) = c1) <= ((g(s(s(c5)), c4) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['2071'])). 318.63/46.70 tff('3835', plain, (g(s(c5), c4) = c4) <= ((g(s(c5), c3) = c2)), 318.63/46.70 inference('simplify', [status(thm)], ['794'])). 318.63/46.70 tff('3836', plain, 318.63/46.70 (c1 = c4) <= ((g(s(s(c5)), c4) = c3) & (g(s(c5), c3) = c2)), 318.63/46.70 inference('sup+', [status(thm)], ['3834', '3835'])). 318.63/46.70 tff('3837', plain, c4 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['109', '172'])). 318.63/46.70 tff('3838', plain, ~ (g(s(c5), c3) = c2) | ~ (g(s(s(c5)), c4) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3836', '3837'])). 318.63/46.70 tff('3839', plain, (g(s(c5), c2) = c4) <= ((g(s(c5), c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['1194'])). 318.63/46.70 tff('3840', plain, (g(s(c5), c2) = c2) <= ((g(s(c5), c3) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['1651'])). 318.63/46.70 tff('3841', plain, (c4 = c2) <= ((g(s(c5), c3) = c4) & (g(s(c5), c2) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3839', '3840'])). 318.63/46.70 tff('3842', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3843', plain, ~ (g(s(c5), c3) = c4) | ~ (g(s(c5), c2) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3841', '3842'])). 318.63/46.70 tff('3844', plain, (g(s(c5), c2) = c3) <= ((g(s(c5), c2) = c3)), 318.63/46.70 inference('split', [status(esa)], ['275'])). 318.63/46.70 tff('3845', plain, (g(s(c5), c2) = c2) <= ((g(s(c5), c3) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['1651'])). 318.63/46.70 tff('3846', plain, (c3 = c2) <= ((g(s(c5), c2) = c3) & (g(s(c5), c3) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3844', '3845'])). 318.63/46.70 tff('3847', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('3848', plain, ~ (g(s(c5), c3) = c4) | ~ (g(s(c5), c2) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3846', '3847'])). 318.63/46.70 tff('3849', plain, (g(s(s(c5)), c2) = c2) <= ((g(s(s(c5)), c2) = c2)), 318.63/46.70 inference('split', [status(esa)], ['554'])). 318.63/46.70 tff('3850', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3851', plain, 318.63/46.70 ((c2 != c5 | zip_tseitin_2(c2, s(s(c5))))) <= ((g(s(s(c5)), c2) = c2)), 318.63/46.70 inference('sup-', [status(thm)], ['3849', '3850'])). 318.63/46.70 tff('3852', plain, 318.63/46.70 ( zip_tseitin_2(c2, s(s(c5)))) <= (( zip_tseitin_2(c2, s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['3851'])). 318.63/46.70 tff('3853', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3854', plain, 318.63/46.70 (( zip_tseitin_1(c2, s(s(c5))) | zip_tseitin_0(c2, s(s(c5))))) 318.63/46.70 <= (( zip_tseitin_2(c2, s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['3852', '3853'])). 318.63/46.70 tff('3855', plain, 318.63/46.70 ( zip_tseitin_0(c2, s(s(c5)))) <= (( zip_tseitin_0(c2, s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['3854'])). 318.63/46.70 tff('3856', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3857', plain, (c2 = c1) <= (( zip_tseitin_0(c2, s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['3855', '3856'])). 318.63/46.70 tff('3858', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3859', plain, ~ ( zip_tseitin_0(c2, s(s(c5)))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3857', '3858'])). 318.63/46.70 tff('3860', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3861', plain, 318.63/46.70 ( zip_tseitin_1(c2, s(s(c5)))) <= (( zip_tseitin_1(c2, s(s(c5))))), 318.63/46.70 inference('split', [status(esa)], ['3854'])). 318.63/46.70 tff('3862', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3863', plain, (c2 = c8) <= (( zip_tseitin_1(c2, s(s(c5))))), 318.63/46.70 inference('sup-', [status(thm)], ['3861', '3862'])). 318.63/46.70 tff('3864', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3865', plain, (c1 = s(c2)) <= (( zip_tseitin_1(c2, s(s(c5))))), 318.63/46.70 inference('sup+', [status(thm)], ['3863', '3864'])). 318.63/46.70 tff('3866', plain, (c1 = c3) <= (( zip_tseitin_1(c2, s(s(c5))))), 318.63/46.70 inference('sup+', [status(thm)], ['3860', '3865'])). 318.63/46.70 tff('3867', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3868', plain, ~ ( zip_tseitin_1(c2, s(s(c5)))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3866', '3867'])). 318.63/46.70 tff('3869', plain, (g(s(s(c5)), c2) = c5) <= ((g(s(s(c5)), c2) = c5)), 318.63/46.70 inference('split', [status(esa)], ['522'])). 318.63/46.70 tff('3870', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3871', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c2, s(s(c5))))) <= ((g(s(s(c5)), c2) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3869', '3870'])). 318.63/46.70 tff('3872', plain, 318.63/46.70 ( zip_tseitin_2(c2, s(s(c5)))) <= ((g(s(s(c5)), c2) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3871'])). 318.63/46.70 tff('3873', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3874', plain, 318.63/46.70 (( zip_tseitin_1(c2, s(s(c5))) | zip_tseitin_0(c2, s(s(c5))))) 318.63/46.70 <= ((g(s(s(c5)), c2) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3872', '3873'])). 318.63/46.70 tff('3875', plain, 318.63/46.70 ~ (g(s(s(c5)), c2) = c5) | ( zip_tseitin_1(c2, s(s(c5)))) | 318.63/46.70 ( zip_tseitin_0(c2, s(s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3874'])). 318.63/46.70 tff('3876', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('3877', plain, (g(s(s(c5)), c2) = c2) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['1088'])). 318.63/46.70 tff('3878', plain, 318.63/46.70 ((c3 = c2 318.63/46.70 | g(s(c5), c2) = c3 318.63/46.70 | g(s(c5), c2) = c5 318.63/46.70 | g(s(c5), c2) = c4 318.63/46.70 | g(s(c5), c2) = c2)) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3876', '3877'])). 318.63/46.70 tff('3879', plain, c3 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['197', '224'])). 318.63/46.70 tff('3880', plain, 318.63/46.70 ((g(s(c5), c2) = c3 318.63/46.70 | g(s(c5), c2) = c5 318.63/46.70 | g(s(c5), c2) = c4 318.63/46.70 | g(s(c5), c2) = c2)) <= ((g(s(s(c5)), c3) = c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3878', '3879'])). 318.63/46.70 tff('3881', plain, 318.63/46.70 ~ (g(s(s(c5)), c3) = c4) | (g(s(c5), c2) = c4) | (g(s(c5), c2) = c2) | 318.63/46.70 (g(s(c5), c2) = c3) | (g(s(c5), c2) = c5), 318.63/46.70 inference('split', [status(esa)], ['3880'])). 318.63/46.70 tff('3882', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('3883', plain, (g(s(s(c5)), c2) = c4) <= ((g(s(s(c5)), c2) = c4)), 318.63/46.70 inference('split', [status(esa)], ['522'])). 318.63/46.70 tff('3884', plain, 318.63/46.70 ((c3 = c4 318.63/46.70 | g(s(c5), c2) = c3 318.63/46.70 | g(s(c5), c2) = c5 318.63/46.70 | g(s(c5), c2) = c4 318.63/46.70 | g(s(c5), c2) = c2)) <= ((g(s(s(c5)), c2) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3882', '3883'])). 318.63/46.70 tff('3885', plain, c4 != c3, 318.63/46.70 inference('simpl_trail', [status(thm)], ['301', '324'])). 318.63/46.70 tff('3886', plain, 318.63/46.70 ((g(s(c5), c2) = c3 318.63/46.70 | g(s(c5), c2) = c5 318.63/46.70 | g(s(c5), c2) = c4 318.63/46.70 | g(s(c5), c2) = c2)) <= ((g(s(s(c5)), c2) = c4)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3884', '3885'])). 318.63/46.70 tff('3887', plain, 318.63/46.70 ~ (g(s(s(c5)), c2) = c4) | (g(s(c5), c2) = c4) | (g(s(c5), c2) = c2) | 318.63/46.70 (g(s(c5), c2) = c3) | (g(s(c5), c2) = c5), 318.63/46.70 inference('split', [status(esa)], ['3886'])). 318.63/46.70 tff('3888', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 (g(s(X1), X0) = c3 318.63/46.70 | g(X1, X0) = c2 318.63/46.70 | g(X1, X0) = c4 318.63/46.70 | g(X1, X0) = c5 318.63/46.70 | g(X1, X0) = c3), 318.63/46.70 inference('simplify', [status(thm)], ['4'])). 318.63/46.70 tff('3889', plain, (g(s(s(c5)), c2) = c1) <= ((g(c8, c2) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['1105'])). 318.63/46.70 tff('3890', plain, 318.63/46.70 ((c3 = c1 318.63/46.70 | g(s(c5), c2) = c3 318.63/46.70 | g(s(c5), c2) = c5 318.63/46.70 | g(s(c5), c2) = c4 318.63/46.70 | g(s(c5), c2) = c2)) <= ((g(c8, c2) = c3)), 318.63/46.70 inference('sup+', [status(thm)], ['3888', '3889'])). 318.63/46.70 tff('3891', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3892', plain, 318.63/46.70 ((g(s(c5), c2) = c3 318.63/46.70 | g(s(c5), c2) = c5 318.63/46.70 | g(s(c5), c2) = c4 318.63/46.70 | g(s(c5), c2) = c2)) <= ((g(c8, c2) = c3)), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3890', '3891'])). 318.63/46.70 tff('3893', plain, 318.63/46.70 ~ (g(c8, c2) = c3) | (g(s(c5), c2) = c4) | (g(s(c5), c2) = c2) | 318.63/46.70 (g(s(c5), c2) = c5) | (g(s(c5), c2) = c3), 318.63/46.70 inference('split', [status(esa)], ['3892'])). 318.63/46.70 tff('3894', plain, (g(s(c5), c2) = c3) <= ((g(s(c5), c2) = c3)), 318.63/46.70 inference('split', [status(esa)], ['275'])). 318.63/46.70 tff('3895', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3896', plain, 318.63/46.70 ((c3 != c5 | zip_tseitin_2(c2, s(c5)))) <= ((g(s(c5), c2) = c3)), 318.63/46.70 inference('sup-', [status(thm)], ['3894', '3895'])). 318.63/46.70 tff('3897', plain, 318.63/46.70 ( zip_tseitin_2(c2, s(c5))) <= (( zip_tseitin_2(c2, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3896'])). 318.63/46.70 tff('3898', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3899', plain, 318.63/46.70 (( zip_tseitin_1(c2, s(c5)) | zip_tseitin_0(c2, s(c5)))) 318.63/46.70 <= (( zip_tseitin_2(c2, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3897', '3898'])). 318.63/46.70 tff('3900', plain, 318.63/46.70 ( zip_tseitin_0(c2, s(c5))) <= (( zip_tseitin_0(c2, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3899'])). 318.63/46.70 tff('3901', plain, ![X0, X1]: (X0 = c1 | ~ zip_tseitin_0(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_5])). 318.63/46.70 tff('3902', plain, (c2 = c1) <= (( zip_tseitin_0(c2, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3900', '3901'])). 318.63/46.70 tff('3903', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3904', plain, ~ ( zip_tseitin_0(c2, s(c5))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3902', '3903'])). 318.63/46.70 tff('3905', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3906', plain, 318.63/46.70 ( zip_tseitin_1(c2, s(c5))) <= (( zip_tseitin_1(c2, s(c5)))), 318.63/46.70 inference('split', [status(esa)], ['3899'])). 318.63/46.70 tff('3907', plain, ![X0, X1]: (X0 = c8 | ~ zip_tseitin_1(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_3])). 318.63/46.70 tff('3908', plain, (c2 = c8) <= (( zip_tseitin_1(c2, s(c5)))), 318.63/46.70 inference('sup-', [status(thm)], ['3906', '3907'])). 318.63/46.70 tff('3909', plain, c1 = s(c8), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3910', plain, (c1 = s(c2)) <= (( zip_tseitin_1(c2, s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['3908', '3909'])). 318.63/46.70 tff('3911', plain, (c1 = c3) <= (( zip_tseitin_1(c2, s(c5)))), 318.63/46.70 inference('sup+', [status(thm)], ['3905', '3910'])). 318.63/46.70 tff('3912', plain, c3 != c1, 318.63/46.70 inference('simpl_trail', [status(thm)], ['57', '89'])). 318.63/46.70 tff('3913', plain, ~ ( zip_tseitin_1(c2, s(c5))), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3911', '3912'])). 318.63/46.70 tff('3914', plain, (g(s(c5), c2) = c5) <= ((g(s(c5), c2) = c5)), 318.63/46.70 inference('split', [status(esa)], ['1194'])). 318.63/46.70 tff('3915', plain, 318.63/46.70 ![X13, X15]: ( zip_tseitin_2(X15, X13) | g(X13, X15) != c5), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3916', plain, 318.63/46.70 ((c5 != c5 | zip_tseitin_2(c2, s(c5)))) <= ((g(s(c5), c2) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3914', '3915'])). 318.63/46.70 tff('3917', plain, ( zip_tseitin_2(c2, s(c5))) <= ((g(s(c5), c2) = c5)), 318.63/46.70 inference('simplify', [status(thm)], ['3916'])). 318.63/46.70 tff('3918', plain, 318.63/46.70 ![X0, X1]: 318.63/46.70 ( zip_tseitin_0(X0, X1) 318.63/46.70 | zip_tseitin_1(X0, X1) 318.63/46.70 | ~ zip_tseitin_2(X0, X1)), 318.63/46.70 inference('cnf', [status(esa)], [zf_stmt_1])). 318.63/46.70 tff('3919', plain, 318.63/46.70 (( zip_tseitin_1(c2, s(c5)) | zip_tseitin_0(c2, s(c5)))) 318.63/46.70 <= ((g(s(c5), c2) = c5)), 318.63/46.70 inference('sup-', [status(thm)], ['3917', '3918'])). 318.63/46.70 tff('3920', plain, 318.63/46.70 ~ (g(s(c5), c2) = c5) | ( zip_tseitin_1(c2, s(c5))) | 318.63/46.70 ( zip_tseitin_0(c2, s(c5))), inference('split', [status(esa)], ['3919'])). 318.63/46.70 tff('3921', plain, c3 = s(c2), inference('cnf', [status(esa)], [zf_stmt_7])). 318.63/46.70 tff('3922', plain, 318.63/46.70 ![X0]: 318.63/46.70 (g(s(s(c5)), s(X0)) = c4 318.63/46.70 | g(c8, X0) = c3 318.63/46.70 | g(s(s(c5)), X0) = c3 318.63/46.70 | g(s(s(c5)), X0) = c5 318.63/46.70 | g(s(s(c5)), X0) = c4), 318.63/46.70 inference('simplify', [status(thm)], ['245'])). 318.63/46.70 tff('3923', plain, 318.63/46.70 (g(s(s(c5)), c3) = c4 318.63/46.70 | g(s(s(c5)), c2) = c4 318.63/46.70 | g(s(s(c5)), c2) = c5 318.63/46.70 | g(s(s(c5)), c2) = c3 318.63/46.70 | g(c8, c2) = c3), 318.63/46.70 inference('sup+', [status(thm)], ['3921', '3922'])). 318.63/46.70 tff('3924', plain, 318.63/46.70 (g(s(s(c5)), c2) = c4) | (g(c8, c2) = c3) | (g(s(s(c5)), c2) = c5) | 318.63/46.70 (g(s(s(c5)), c2) = c3) | (g(s(s(c5)), c3) = c4), 318.63/46.70 inference('split', [status(esa)], ['3923'])). 318.63/46.70 tff('3925', plain, (g(s(s(c5)), c1) = c2) <= ((g(s(s(c5)), c1) = c2)), 318.63/46.70 inference('split', [status(esa)], ['522'])). 318.63/46.70 tff('3926', plain, (g(s(s(c5)), c1) = c1) <= ((g(c8, c1) = c3)), 318.63/46.70 inference('simplify', [status(thm)], ['1604'])). 318.63/46.70 tff('3927', plain, (c2 = c1) <= ((g(c8, c1) = c3) & (g(s(s(c5)), c1) = c2)), 318.63/46.70 inference('sup+', [status(thm)], ['3925', '3926'])). 318.63/46.70 tff('3928', plain, c1 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['142', '163'])). 318.63/46.70 tff('3929', plain, ~ (g(s(s(c5)), c1) = c2) | ~ (g(c8, c1) = c3), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3927', '3928'])). 318.63/46.70 tff('3930', plain, 318.63/46.70 (g(s(s(c5)), s(s(c5))) = c3) | (g(s(s(c5)), s(s(c5))) = c4) | 318.63/46.70 (g(s(s(c5)), s(s(c5))) = c5) | (g(c8, s(s(c5))) = c3) | 318.63/46.70 (g(s(s(c5)), c8) = c4), inference('split', [status(esa)], ['534'])). 318.63/46.70 tff('3931', plain, (g(c4, c4) = c4) <= ((g(c4, c4) = c4)), 318.63/46.70 inference('split', [status(esa)], ['595'])). 318.63/46.70 tff('3932', plain, (g(c4, c4) = c2) <= ((g(c4, c5) = c4)), 318.63/46.70 inference('simplify', [status(thm)], ['987'])). 318.63/46.70 tff('3933', plain, (c4 = c2) <= ((g(c4, c5) = c4) & (g(c4, c4) = c4)), 318.63/46.70 inference('sup+', [status(thm)], ['3931', '3932'])). 318.63/46.70 tff('3934', plain, c4 != c2, 318.63/46.70 inference('simpl_trail', [status(thm)], ['229', '230'])). 318.63/46.70 tff('3935', plain, ~ (g(c4, c5) = c4) | ~ (g(c4, c4) = c4), 318.63/46.70 inference('simplify_reflect-', [status(thm)], ['3933', '3934'])). 318.63/46.70 tff('3936', plain, $false, 318.63/46.70 inference('sat_resolution*', [status(thm)], 318.63/46.70 ['11', '91', '174', '181', '232', '256', '282', '326', '349', 318.63/46.70 '357', '366', '387', '403', '409', '422', '433', '444', 318.63/46.70 '449', '463', '474', '479', '484', '498', '509', '531', 318.63/46.70 '542', '550', '558', '574', '579', '592', '603', '609', 318.63/46.70 '614', '620', '625', '630', '654', '665', '669', '684', 318.63/46.70 '689', '696', '702', '708', '719', '724', '731', '739', 318.63/46.70 '744', '749', '757', '762', '770', '775', '788', '798', 318.63/46.70 '808', '823', '835', '847', '857', '865', '871', '886', 318.63/46.70 '898', '910', '918', '931', '942', '952', '957', '965', 318.63/46.70 '970', '979', '984', '995', '1000', '1014', '1015', '1034', 318.63/46.70 '1044', '1049', '1062', '1067', '1072', '1080', '1085', 318.63/46.70 '1099', '1110', '1123', '1133', '1138', '1149', '1154', 318.63/46.70 '1164', '1169', '1177', '1182', '1188', '1203', '1210', 318.63/46.70 '1225', '1230', '1237', '1247', '1260', '1273', '1281', 318.63/46.70 '1286', '1292', '1298', '1304', '1309', '1317', '1322', 318.63/46.70 '1327', '1332', '1337', '1342', '1348', '1357', '1365', 318.63/46.70 '1370', '1375', '1383', '1392', '1400', '1405', '1410', 318.63/46.70 '1421', '1435', '1442', '1450', '1460', '1468', '1481', 318.63/46.70 '1487', '1510', '1519', '1526', '1531', '1537', '1543', 318.63/46.70 '1549', '1558', '1563', '1568', '1573', '1579', '1590', 318.63/46.70 '1596', '1612', '1617', '1622', '1628', '1635', '1648', 318.63/46.70 '1656', '1661', '1669', '1679', '1684', '1692', '1693', 318.63/46.70 '1699', '1705', '1710', '1715', '1728', '1738', '1746', 318.63/46.70 '1752', '1756', '1767', '1776', '1783', '1791', '1799', 318.63/46.70 '1810', '1815', '1824', '1829', '1834', '1838', '1849', 318.63/46.70 '1854', '1861', '1866', '1872', '1880', '1885', '1893', 318.63/46.70 '1901', '1910', '1915', '1920', '1925', '1930', '1935', 318.63/46.70 '1940', '1945', '1950', '1959', '1965', '1970', '1975', 318.63/46.70 '1981', '1986', '2004', '2013', '2020', '2025', '2030', 318.63/46.70 '2036', '2042', '2043', '2048', '2056', '2061', '2067', 318.63/46.70 '2076', '2087', '2092', '2099', '2107', '2112', '2119', 318.63/46.70 '2126', '2131', '2146', '2161', '2168', '2174', '2189', 318.63/46.70 '2194', '2224', '2230', '2235', '2240', '2245', '2261', 318.63/46.70 '2272', '2280', '2285', '2290', '2298', '2312', '2317', 318.63/46.70 '2325', '2330', '2335', '2348', '2349', '2367', '2376', 318.63/46.70 '2383', '2388', '2393', '2398', '2403', '2407', '2418', 318.63/46.70 '2423', '2430', '2438', '2443', '2448', '2473', '2484', 318.63/46.70 '2491', '2509', '2521', '2528', '2534', '2541', '2558', 318.63/46.70 '2583', '2589', '2598', '2609', '2614', '2621', '2630', 318.63/46.70 '2636', '2641', '2646', '2652', '2657', '2662', '2667', 318.63/46.70 '2681', '2696', '2710', '2717', '2718', '2723', '2732', 318.63/46.70 '2745', '2754', '2763', '2774', '2783', '2790', '2799', 318.63/46.70 '2814', '2823', '2830', '2831', '2845', '2854', '2861', 318.63/46.70 '2873', '2878', '2879', '2890', '2899', '2906', '2911', 318.63/46.70 '2916', '2917', '2928', '2933', '2940', '2948', '2953', 318.63/46.70 '2973', '2978', '2985', '2992', '2998', '3023', '3034', 318.63/46.70 '3041', '3049', '3054', '3059', '3065', '3085', '3090', 318.63/46.70 '3097', '3102', '3107', '3118', '3123', '3134', '3139', 318.63/46.70 '3152', '3157', '3162', '3166', '3177', '3186', '3196', 318.63/46.70 '3201', '3206', '3215', '3228', '3237', '3244', '3250', 318.63/46.70 '3257', '3268', '3273', '3283', '3288', '3293', '3297', 318.63/46.70 '3312', '3317', '3327', '3332', '3337', '3345', '3349', 318.63/46.70 '3367', '3379', '3393', '3398', '3402', '323', '3410', 318.63/46.70 '3416', '3440', '3452', '3464', '3469', '3475', '3486', 318.63/46.70 '3491', '3498', '3503', '3507', '3518', '3523', '3530', 318.63/46.70 '3535', '3540', '3545', '3550', '3561', '3566', '3571', 318.63/46.70 '3581', '3587', '3602', '3611', '3618', '3626', '3631', 318.63/46.70 '3636', '3637', '3643', '3654', '3668', '3675', '3680', 318.63/46.70 '3685', '3690', '3696', '3701', '3706', '3713', '3719', 318.63/46.70 '3724', '3728', '3739', '3748', '3755', '3763', '3768', 318.63/46.70 '3772', '3783', '3788', '3795', '3801', '3812', '3821', 318.63/46.70 '3828', '3833', '3838', '3843', '3848', '3859', '3868', 318.63/46.70 '3875', '3881', '3887', '3893', '3904', '3913', '3920', 318.63/46.70 '3924', '3929', '3930', '3935'])). 318.63/46.70 318.63/46.70 % SZS output end Refutation 318.63/46.70 318.63/46.70 318.63/46.70 % Terminating... 319.24/46.80 % Runner terminated. 319.24/46.82 % Zipperpin 1.5 exiting 319.24/46.83 EOF