0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.qbJEPeRZrT 0.11/0.32 % Computer : n026.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % DateTime : Thu Jul 2 07:25:39 EDT 2020 0.11/0.33 % CPUTime : 0.11/0.33 % Running portfolio for 120 s 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.11/0.33 % Number of cores: 8 0.17/0.33 % Python version: Python 3.6.8 0.17/0.33 % Running in FO mode 16.49/16.76 % Running /export/starexec/sandbox/solver/bin/fo/fo7.sh for 25 16.49/16.76 % Solved by: fo/fo7.sh 16.49/16.76 To remain in the chosen logic fragment, unification with booleans has been disabled. 16.49/16.76 % done 11450 iterations in 16.319s 16.49/16.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 16.49/16.76 % SZS output start Refutation 16.49/16.76 tff(church_46_18_5, conjecture, 16.49/16.76 (![X]: 16.49/16.76 (?[Y1,Y2,Y3]: 16.49/16.76 (![Z]: 16.49/16.76 ((big_f(Y1,Y2,Y3) => 16.49/16.76 (big_f(X,X,Z) => (big_f(Y2,Y3,Y1) | big_f(Y3,Y1,Y2)))) => 16.49/16.76 ((big_f(Y2,Y1,Z) <=> 16.49/16.76 (big_f(Y3,Y1,Y2) => (big_f(Y1,Y2,Y3) & big_f(Y2,Y3,Y1)))) => 16.49/16.76 ((big_f(Y1,Z,Y2) <=> 16.49/16.76 (big_f(Y2,Y3,Y1) => (big_f(Y1,Y2,Y3) & big_f(Y3,Y1,Y2)))) => 16.49/16.76 ((big_f(Z,Y2,Y1) <=> 16.49/16.76 ((big_f(Y3,Y1,Y2) => (~big_f(Y2,Y3,Y1))) => big_f(Y1,Y2,Y3))) => 16.49/16.76 ((big_f(Y2,Y3,Y1) & big_f(Y3,Y1,Y2) & big_f(Y1,Y2,Y3)) <=> 16.49/16.76 big_f(Z,Z,Z)))))))))). 16.49/16.76 tff(zf_stmt_0, axiom, 16.49/16.76 (zip_tseitin_3(Y3,Y2,Y1) <=> (big_f(Y2,Y3,Y1) => zip_tseitin_2(Y3,Y2,Y1)))). 16.49/16.76 tff('0', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_3(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff(zf_stmt_1, axiom, 16.49/16.76 (zip_tseitin_1(Y3,Y2,Y1) <=> (big_f(Y3,Y1,Y2) => zip_tseitin_0(Y3,Y2,Y1)))). 16.49/16.76 tff('1', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_1(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff(zf_stmt_2, type, zip_tseitin_6 : ($i * $i * $i) > $o). 16.49/16.76 tff(zf_stmt_3, axiom, 16.49/16.76 (zip_tseitin_6(Y3,Y2,Y1) <=> 16.49/16.76 (big_f(Y1,Y2,Y3) & big_f(Y3,Y1,Y2) & big_f(Y2,Y3,Y1)))). 16.49/16.76 tff(zf_stmt_4, type, zip_tseitin_5 : ($i * $i * $i) > $o). 16.49/16.76 tff(zf_stmt_5, axiom, 16.49/16.76 (zip_tseitin_5(Y3,Y2,Y1) <=> (zip_tseitin_4(Y3,Y2,Y1) => big_f(Y1,Y2,Y3)))). 16.49/16.76 tff(zf_stmt_6, type, zip_tseitin_4 : ($i * $i * $i) > $o). 16.49/16.76 tff(zf_stmt_7, axiom, 16.49/16.76 (zip_tseitin_4(Y3,Y2,Y1) <=> (big_f(Y3,Y1,Y2) => (~big_f(Y2,Y3,Y1))))). 16.49/16.76 tff(zf_stmt_8, type, zip_tseitin_3 : ($i * $i * $i) > $o). 16.49/16.76 tff(zf_stmt_9, type, zip_tseitin_2 : ($i * $i * $i) > $o). 16.49/16.76 tff(zf_stmt_10, axiom, 16.49/16.76 (zip_tseitin_2(Y3,Y2,Y1) <=> (big_f(Y3,Y1,Y2) & big_f(Y1,Y2,Y3)))). 16.49/16.76 tff(zf_stmt_11, type, zip_tseitin_1 : ($i * $i * $i) > $o). 16.49/16.76 tff(zf_stmt_12, type, zip_tseitin_0 : ($i * $i * $i) > $o). 16.49/16.76 tff(zf_stmt_13, axiom, 16.49/16.76 (zip_tseitin_0(Y3,Y2,Y1) <=> (big_f(Y2,Y3,Y1) & big_f(Y1,Y2,Y3)))). 16.49/16.76 tff(zf_stmt_14, conjecture, 16.49/16.76 (![X]: 16.49/16.76 (?[Y1,Y2,Y3]: 16.49/16.76 (![Z]: 16.49/16.76 ((big_f(Y1,Y2,Y3) => 16.49/16.76 (big_f(X,X,Z) => (big_f(Y3,Y1,Y2) | big_f(Y2,Y3,Y1)))) => 16.49/16.76 ((big_f(Y2,Y1,Z) <=> zip_tseitin_1(Y3,Y2,Y1)) => 16.49/16.76 ((big_f(Y1,Z,Y2) <=> zip_tseitin_3(Y3,Y2,Y1)) => 16.49/16.76 ((big_f(Z,Y2,Y1) <=> zip_tseitin_5(Y3,Y2,Y1)) => 16.49/16.76 (zip_tseitin_6(Y3,Y2,Y1) <=> big_f(Z,Z,Z)))))))))). 16.49/16.76 tff(zf_stmt_15, negated_conjecture, 16.49/16.76 (~ 16.49/16.76 (![X]: 16.49/16.76 (?[Y1,Y2,Y3]: 16.49/16.76 (![Z]: 16.49/16.76 ((big_f(Y1,Y2,Y3) => 16.49/16.76 (big_f(X,X,Z) => (big_f(Y3,Y1,Y2) | big_f(Y2,Y3,Y1)))) => 16.49/16.76 ((big_f(Y2,Y1,Z) <=> zip_tseitin_1(Y3,Y2,Y1)) => 16.49/16.76 ((big_f(Y1,Z,Y2) <=> zip_tseitin_3(Y3,Y2,Y1)) => 16.49/16.76 ((big_f(Z,Y2,Y1) <=> zip_tseitin_5(Y3,Y2,Y1)) => 16.49/16.76 (zip_tseitin_6(Y3,Y2,Y1) <=> big_f(Z,Z,Z))))))))))). 16.49/16.76 tff('2', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_5(X3, X4, X5) | ~ big_f(sk_Z(X3, X4, X5), X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('3', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(sk_Z(X2, X1, X0), X0, X1) | zip_tseitin_5(X2, X1, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['1', '2'])). 16.49/16.76 tff('4', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( big_f(X4, X5, sk_Z(X3, X4, X5)) | ~ zip_tseitin_1(X3, X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('5', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_5(X2, X0, X1) 16.49/16.76 | big_f(X1, X0, sk_Z(sk_Z(X2, X0, X1), X1, X0))), 16.49/16.76 inference('sup-', [status(thm)], ['3', '4'])). 16.49/16.76 tff('6', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_5(X2, X0, X1) 16.49/16.76 | big_f(X1, X0, sk_Z(sk_Z(X2, X0, X1), X1, X0))), 16.49/16.76 inference('sup-', [status(thm)], ['3', '4'])). 16.49/16.76 tff('7', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 (~ big_f(sk_X, sk_X, sk_Z(X3, X4, X5)) 16.49/16.76 | big_f(X3, X5, X4) 16.49/16.76 | big_f(X4, X3, X5) 16.49/16.76 | ~ big_f(X5, X4, X3)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('8', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | ~ big_f(sk_X, sk_X, sk_Z(X0, sk_X, sk_X)) 16.49/16.76 | big_f(sk_X, sk_Z(X0, sk_X, sk_X), sk_X) 16.49/16.76 | big_f(sk_Z(X0, sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['6', '7'])). 16.49/16.76 tff('9', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_Z(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_Z(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), sk_X) 16.49/16.76 | zip_tseitin_5(sk_Z(X0, sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['5', '8'])). 16.49/16.76 tff('10', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_5(X3, X4, X5) | ~ big_f(sk_Z(X3, X4, X5), X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('11', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_5(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_Z(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(sk_Z(X0, sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['9', '10'])). 16.49/16.76 tff('12', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_Z(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), sk_X) 16.49/16.76 | zip_tseitin_5(sk_Z(X0, sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('simplify', [status(thm)], ['11'])). 16.49/16.76 tff('13', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_3(X3, X4, X5) | ~ big_f(X5, sk_Z(X3, X4, X5), X4)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('14', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_5(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_3(sk_Z(X0, sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['12', '13'])). 16.49/16.76 tff('15', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('16', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_5(X3, X4, X5) | ~ big_f(sk_Z(X3, X4, X5), X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('17', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(sk_Z(X2, X1, X0), X0, X1) | zip_tseitin_5(X2, X1, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['15', '16'])). 16.49/16.76 tff('18', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ zip_tseitin_4(X1, X0, X2) 16.49/16.76 | big_f(X2, X0, X1) 16.49/16.76 | ~ zip_tseitin_5(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_5])). 16.49/16.76 tff('19', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_5(X2, X0, X1) 16.49/16.76 | ~ zip_tseitin_5(sk_Z(X2, X0, X1), X1, X0) 16.49/16.76 | big_f(X0, X1, sk_Z(X2, X0, X1))), 16.49/16.76 inference('sup-', [status(thm)], ['17', '18'])). 16.49/16.76 tff('20', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_3(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_X, sk_Z(X0, sk_X, sk_X)) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['14', '19'])). 16.49/16.76 tff('21', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( big_f(sk_X, sk_X, sk_Z(X0, sk_X, sk_X)) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_3(sk_Z(X0, sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('simplify', [status(thm)], ['20'])). 16.49/16.76 tff('22', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_1(X3, X4, X5) | ~ big_f(X4, X5, sk_Z(X3, X4, X5))), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('23', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_3(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['21', '22'])). 16.49/16.76 tff('24', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_5(X1, X0, X2) | zip_tseitin_4(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_5])). 16.49/16.76 tff('25', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( big_f(sk_Z(X3, X4, X5), X4, X5) | ~ zip_tseitin_5(X3, X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('26', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X2, X1, X0) | big_f(sk_Z(X2, X1, X0), X1, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['24', '25'])). 16.49/16.76 tff('27', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_3(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['21', '22'])). 16.49/16.76 tff('28', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_1(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('29', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_3(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('30', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_0(X1, X0, X2) | ~ big_f(X2, X0, X1) | ~ big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('31', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_3(X1, X2, X0) 16.49/16.76 | ~ big_f(X1, X0, X2) 16.49/16.76 | zip_tseitin_0(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['29', '30'])). 16.49/16.76 tff('32', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X2, X0, X1) 16.49/16.76 | zip_tseitin_0(X1, X2, X0) 16.49/16.76 | zip_tseitin_3(X2, X0, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['28', '31'])). 16.49/16.76 tff('33', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( big_f(X5, sk_Z(X3, X4, X5), X4) | ~ zip_tseitin_3(X3, X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('34', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_0(X0, X2, X1) 16.49/16.76 | zip_tseitin_1(X2, X1, X0) 16.49/16.76 | big_f(X0, sk_Z(X2, X1, X0), X1)), 16.49/16.76 inference('sup-', [status(thm)], ['32', '33'])). 16.49/16.76 tff('35', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X0, X1, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_3(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('36', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X2, X0, X1) 16.49/16.76 | zip_tseitin_0(X1, X2, X0) 16.49/16.76 | ~ zip_tseitin_3(sk_Z(X2, X0, X1), X1, X0) 16.49/16.76 | zip_tseitin_2(sk_Z(X2, X0, X1), X1, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['34', '35'])). 16.49/16.76 tff('37', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_2(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_X, X0, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['27', '36'])). 16.49/16.76 tff('38', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_0(sk_X, X0, sk_X) 16.49/16.76 | zip_tseitin_2(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('simplify', [status(thm)], ['37'])). 16.49/16.76 tff('39', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X1, X2, X0) | ~ zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('40', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_X, X0, sk_X) 16.49/16.76 | big_f(sk_Z(X0, sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['38', '39'])). 16.49/16.76 tff('41', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_5(X3, X4, X5) | ~ big_f(sk_Z(X3, X4, X5), X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('42', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_0(sk_X, X0, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['40', '41'])). 16.49/16.76 tff('43', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_X, X0, sk_X)), 16.49/16.76 inference('simplify', [status(thm)], ['42'])). 16.49/16.76 tff('44', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('45', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_0(X1, X0, X2) | ~ big_f(X2, X0, X1) | ~ big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('46', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X1, X2, X0) 16.49/16.76 | ~ big_f(X1, X0, X2) 16.49/16.76 | zip_tseitin_0(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['44', '45'])). 16.49/16.76 tff('47', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('48', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_0(X0, X1, X2) | zip_tseitin_4(X1, X2, X0)), 16.49/16.76 inference('clc', [status(thm)], ['46', '47'])). 16.49/16.76 tff('49', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ zip_tseitin_4(X1, X0, X2) 16.49/16.76 | big_f(X2, X0, X1) 16.49/16.76 | ~ zip_tseitin_5(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_5])). 16.49/16.76 tff('50', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_0(X0, X2, X1) 16.49/16.76 | ~ zip_tseitin_5(X2, X1, X0) 16.49/16.76 | big_f(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['48', '49'])). 16.49/16.76 tff('51', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_0(sk_X, X0, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_X, X0) 16.49/16.76 | zip_tseitin_0(sk_X, X0, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['43', '50'])). 16.49/16.76 tff('52', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( big_f(sk_X, sk_X, X0) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_X, X0, sk_X)), 16.49/16.76 inference('simplify', [status(thm)], ['51'])). 16.49/16.76 tff('53', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_1(X3, X4, X5) | ~ big_f(X4, X5, sk_Z(X3, X4, X5))), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('54', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_0(sk_X, sk_Z(X0, sk_X, sk_X), sk_X) 16.49/16.76 | zip_tseitin_1(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['52', '53'])). 16.49/16.76 tff('55', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X2, X1, X0) | big_f(sk_Z(X2, X1, X0), X1, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['24', '25'])). 16.49/16.76 tff('56', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | zip_tseitin_0(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_1(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('57', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X2, X1, X0) 16.49/16.76 | ~ zip_tseitin_1(sk_Z(X2, X1, X0), X0, X1) 16.49/16.76 | zip_tseitin_0(sk_Z(X2, X1, X0), X0, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['55', '56'])). 16.49/16.76 tff('58', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_X, sk_Z(X0, sk_X, sk_X), sk_X) 16.49/16.76 | zip_tseitin_0(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_4(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['54', '57'])). 16.49/16.76 tff('59', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X0, X1, X2) | ~ zip_tseitin_0(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('60', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_4(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_X, sk_Z(X0, sk_X, sk_X), sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_Z(X0, sk_X, sk_X), sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['58', '59'])). 16.49/16.76 tff('61', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_0(X1, X0, X2) | ~ big_f(X2, X0, X1) | ~ big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('62', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_X, sk_Z(X0, sk_X, sk_X), sk_X) 16.49/16.76 | zip_tseitin_4(X0, sk_X, sk_X) 16.49/16.76 | ~ big_f(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_X, sk_Z(X0, sk_X, sk_X), sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['60', '61'])). 16.49/16.76 tff('63', plain, 16.49/16.76 ![X0]: 16.49/16.76 (~ big_f(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_4(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_X, sk_Z(X0, sk_X, sk_X), sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('simplify', [status(thm)], ['62'])). 16.49/16.76 tff('64', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_4(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_X, sk_Z(X0, sk_X, sk_X), sk_X) 16.49/16.76 | zip_tseitin_4(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['26', '63'])). 16.49/16.76 tff('65', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_0(sk_X, sk_Z(X0, sk_X, sk_X), sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_4(X0, sk_X, sk_X)), 16.49/16.76 inference('simplify', [status(thm)], ['64'])). 16.49/16.76 tff('66', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X2, X0, X1) | ~ zip_tseitin_0(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('67', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_4(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_Z(X0, sk_X, sk_X), sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['65', '66'])). 16.49/16.76 tff('68', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_3(X3, X4, X5) | ~ big_f(X5, sk_Z(X3, X4, X5), X4)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('69', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_4(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_3(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['67', '68'])). 16.49/16.76 tff('70', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_1(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('71', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | ~ big_f(X0, X1, X2) 16.49/16.76 | ~ zip_tseitin_4(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('72', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X2, X0, X1) 16.49/16.76 | ~ zip_tseitin_4(X2, X0, X1) 16.49/16.76 | ~ big_f(X0, X2, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['70', '71'])). 16.49/16.76 tff('73', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_3(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | ~ big_f(sk_X, X0, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['69', '72'])). 16.49/16.76 tff('74', plain, 16.49/16.76 ![X0]: 16.49/16.76 (~ big_f(sk_X, X0, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_3(X0, sk_X, sk_X)), 16.49/16.76 inference('simplify', [status(thm)], ['73'])). 16.49/16.76 tff('75', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_3(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('76', plain, 16.49/16.76 ![X0]: ( zip_tseitin_3(X0, sk_X, sk_X) | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['74', '75'])). 16.49/16.76 tff('77', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( big_f(X5, sk_Z(X3, X4, X5), X4) | ~ zip_tseitin_3(X3, X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('78', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_Z(X0, sk_X, sk_X), sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['76', '77'])). 16.49/16.76 tff('79', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X0, X1, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_3(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('80', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | ~ zip_tseitin_3(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_2(sk_Z(X0, sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['78', '79'])). 16.49/16.76 tff('81', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_2(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['23', '80'])). 16.49/16.76 tff('82', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_2(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('simplify', [status(thm)], ['81'])). 16.49/16.76 tff('83', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X1, X2, X0) | ~ zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('84', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_Z(X0, sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['82', '83'])). 16.49/16.76 tff('85', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( big_f(sk_Z(X3, X4, X5), X4, X5) | ~ zip_tseitin_5(X3, X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('86', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( big_f(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['84', '85'])). 16.49/16.76 tff('87', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | zip_tseitin_0(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_1(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('88', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | ~ zip_tseitin_1(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_Z(X0, sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['86', '87'])). 16.49/16.76 tff('89', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( big_f(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['84', '85'])). 16.49/16.76 tff('90', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_5(X3, X4, X5) | ~ big_f(sk_Z(X3, X4, X5), X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('91', plain, 16.49/16.76 ![X0]: ( zip_tseitin_1(X0, sk_X, sk_X) | zip_tseitin_5(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['89', '90'])). 16.49/16.76 tff('92', plain, 16.49/16.76 ![X0]: ( zip_tseitin_3(X0, sk_X, sk_X) | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['74', '75'])). 16.49/16.76 tff('93', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('94', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X0, X1, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_3(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('95', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X1, X2, X0) 16.49/16.76 | ~ zip_tseitin_3(X1, X2, X0) 16.49/16.76 | zip_tseitin_2(X1, X2, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['93', '94'])). 16.49/16.76 tff('96', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_2(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_4(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['92', '95'])). 16.49/16.76 tff('97', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ zip_tseitin_4(X1, X0, X2) 16.49/16.76 | big_f(X2, X0, X1) 16.49/16.76 | ~ zip_tseitin_5(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_5])). 16.49/16.76 tff('98', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_2(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | ~ zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_X, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['96', '97'])). 16.49/16.76 tff('99', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_X, X0) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_2(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['91', '98'])). 16.49/16.76 tff('100', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_2(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_X, X0) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('simplify', [status(thm)], ['99'])). 16.49/16.76 tff('101', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X2, X0, X1) | ~ zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('102', plain, 16.49/16.76 ![X0]: ( zip_tseitin_1(X0, sk_X, sk_X) | big_f(sk_X, sk_X, X0)), 16.49/16.76 inference('clc', [status(thm)], ['100', '101'])). 16.49/16.76 tff('103', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_1(X3, X4, X5) | ~ big_f(X4, X5, sk_Z(X3, X4, X5))), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('104', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['102', '103'])). 16.49/16.76 tff('105', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_0(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_1(X0, sk_X, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['88', '104'])). 16.49/16.76 tff('106', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X2, X0, X1) | ~ zip_tseitin_0(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('107', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_X, sk_Z(X0, sk_X, sk_X))), 16.49/16.76 inference('sup-', [status(thm)], ['105', '106'])). 16.49/16.76 tff('108', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( big_f(X4, X5, sk_Z(X3, X4, X5)) | ~ zip_tseitin_1(X3, X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('109', plain, ![X0]: big_f(sk_X, sk_X, sk_Z(X0, sk_X, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['107', '108'])). 16.49/16.76 tff('110', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 (~ big_f(sk_X, sk_X, sk_Z(X3, X4, X5)) 16.49/16.76 | big_f(X3, X5, X4) 16.49/16.76 | big_f(X4, X3, X5) 16.49/16.76 | ~ big_f(X5, X4, X3)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('111', plain, 16.49/16.76 ![X0]: 16.49/16.76 (~ big_f(sk_X, sk_X, X0) 16.49/16.76 | big_f(sk_X, X0, sk_X) 16.49/16.76 | big_f(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['109', '110'])). 16.49/16.76 tff('112', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_3(sk_X, sk_X, X0) 16.49/16.76 | big_f(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, X0, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['0', '111'])). 16.49/16.76 tff('113', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_5(X1, X0, X2) | zip_tseitin_4(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_5])). 16.49/16.76 tff('114', plain, ![X0]: big_f(sk_X, sk_X, sk_Z(X0, sk_X, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['107', '108'])). 16.49/16.76 tff('115', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_1(X3, X4, X5) | ~ big_f(X4, X5, sk_Z(X3, X4, X5))), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('116', plain, ![X0]: zip_tseitin_1(X0, sk_X, sk_X), 16.49/16.76 inference('sup-', [status(thm)], ['114', '115'])). 16.49/16.76 tff('117', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('118', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | zip_tseitin_0(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_1(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('119', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X1, X2, X0) 16.49/16.76 | ~ zip_tseitin_1(X2, X0, X1) 16.49/16.76 | zip_tseitin_0(X2, X0, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['117', '118'])). 16.49/16.76 tff('120', plain, 16.49/16.76 ![X0]: ( zip_tseitin_0(X0, sk_X, sk_X) | zip_tseitin_4(sk_X, X0, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['116', '119'])). 16.49/16.76 tff('121', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ zip_tseitin_4(X1, X0, X2) 16.49/16.76 | big_f(X2, X0, X1) 16.49/16.76 | ~ zip_tseitin_5(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_5])). 16.49/16.76 tff('122', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_0(X0, sk_X, sk_X) 16.49/16.76 | ~ zip_tseitin_5(sk_X, X0, sk_X) 16.49/16.76 | big_f(sk_X, X0, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['120', '121'])). 16.49/16.76 tff('123', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X0, X1, X2) | ~ zip_tseitin_0(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('124', plain, 16.49/16.76 ![X0]: ( big_f(sk_X, X0, sk_X) | ~ zip_tseitin_5(sk_X, X0, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['122', '123'])). 16.49/16.76 tff('125', plain, 16.49/16.76 ![X0]: ( zip_tseitin_4(sk_X, X0, sk_X) | big_f(sk_X, X0, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['113', '124'])). 16.49/16.76 tff('126', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('127', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_2(X1, X0, X2) | ~ big_f(X2, X0, X1) | ~ big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('128', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X1, X2, X0) 16.49/16.76 | ~ big_f(X0, X2, X1) 16.49/16.76 | zip_tseitin_2(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['126', '127'])). 16.49/16.76 tff('129', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_4(sk_X, X0, sk_X) 16.49/16.76 | zip_tseitin_2(sk_X, sk_X, X0) 16.49/16.76 | zip_tseitin_4(sk_X, X0, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['125', '128'])). 16.49/16.76 tff('130', plain, 16.49/16.76 ![X0]: ( zip_tseitin_2(sk_X, sk_X, X0) | zip_tseitin_4(sk_X, X0, sk_X)), 16.49/16.76 inference('simplify', [status(thm)], ['129'])). 16.49/16.76 tff('131', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_3(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('132', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | ~ big_f(X0, X1, X2) 16.49/16.76 | ~ zip_tseitin_4(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('133', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_3(X1, X2, X0) 16.49/16.76 | ~ zip_tseitin_4(X2, X0, X1) 16.49/16.76 | ~ big_f(X0, X2, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['131', '132'])). 16.49/16.76 tff('134', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_2(sk_X, sk_X, X0) 16.49/16.76 | ~ big_f(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_3(sk_X, sk_X, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['130', '133'])). 16.49/16.76 tff('135', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_3(X1, X0, X2) | ~ zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('136', plain, 16.49/16.76 ![X0]: ( zip_tseitin_3(sk_X, sk_X, X0) | ~ big_f(X0, sk_X, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['134', '135'])). 16.49/16.76 tff('137', plain, 16.49/16.76 ![X0]: ( big_f(sk_X, X0, sk_X) | zip_tseitin_3(sk_X, sk_X, X0)), 16.49/16.76 inference('clc', [status(thm)], ['112', '136'])). 16.49/16.76 tff('138', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_3(X1, X2, X0) 16.49/16.76 | ~ big_f(X1, X0, X2) 16.49/16.76 | zip_tseitin_0(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['29', '30'])). 16.49/16.76 tff('139', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_3(sk_X, sk_X, X0) 16.49/16.76 | zip_tseitin_0(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_3(sk_X, sk_X, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['137', '138'])). 16.49/16.76 tff('140', plain, 16.49/16.76 ![X0]: ( zip_tseitin_0(X0, sk_X, sk_X) | zip_tseitin_3(sk_X, sk_X, X0)), 16.49/16.76 inference('simplify', [status(thm)], ['139'])). 16.49/16.76 tff('141', plain, ![X0]: zip_tseitin_1(X0, sk_X, sk_X), 16.49/16.76 inference('sup-', [status(thm)], ['114', '115'])). 16.49/16.76 tff('142', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('143', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | zip_tseitin_0(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_1(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('144', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X2, X0, X1) 16.49/16.76 | ~ zip_tseitin_1(X2, X0, X1) 16.49/16.76 | zip_tseitin_0(X2, X0, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['142', '143'])). 16.49/16.76 tff('145', plain, 16.49/16.76 ![X0]: ( zip_tseitin_0(X0, sk_X, sk_X) | zip_tseitin_4(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['141', '144'])). 16.49/16.76 tff('146', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ zip_tseitin_4(X1, X0, X2) 16.49/16.76 | big_f(X2, X0, X1) 16.49/16.76 | ~ zip_tseitin_5(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_5])). 16.49/16.76 tff('147', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_0(X0, sk_X, sk_X) 16.49/16.76 | ~ zip_tseitin_5(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_X, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['145', '146'])). 16.49/16.76 tff('148', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X2, X0, X1) | ~ zip_tseitin_0(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('149', plain, 16.49/16.76 ![X0]: ( big_f(sk_X, sk_X, X0) | ~ zip_tseitin_5(X0, sk_X, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['147', '148'])). 16.49/16.76 tff('150', plain, 16.49/16.76 ![X0]: ( big_f(sk_X, X0, sk_X) | zip_tseitin_3(sk_X, sk_X, X0)), 16.49/16.76 inference('clc', [status(thm)], ['112', '136'])). 16.49/16.76 tff('151', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_3(X3, X4, X5) | ~ big_f(X5, sk_Z(X3, X4, X5), X4)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('152', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_3(sk_X, sk_X, sk_Z(X0, sk_X, sk_X)) 16.49/16.76 | zip_tseitin_3(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['150', '151'])). 16.49/16.76 tff('153', plain, ![X0]: big_f(sk_X, sk_X, sk_Z(X0, sk_X, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['107', '108'])). 16.49/16.76 tff('154', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X0, X1, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_3(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('155', plain, 16.49/16.76 ![X0]: 16.49/16.76 (~ zip_tseitin_3(sk_X, sk_X, sk_Z(X0, sk_X, sk_X)) 16.49/16.76 | zip_tseitin_2(sk_X, sk_X, sk_Z(X0, sk_X, sk_X))), 16.49/16.76 inference('sup-', [status(thm)], ['153', '154'])). 16.49/16.76 tff('156', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_3(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_2(sk_X, sk_X, sk_Z(X0, sk_X, sk_X))), 16.49/16.76 inference('sup-', [status(thm)], ['152', '155'])). 16.49/16.76 tff('157', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X1, X2, X0) | ~ zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('158', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_3(X0, sk_X, sk_X) 16.49/16.76 | big_f(sk_X, sk_Z(X0, sk_X, sk_X), sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['156', '157'])). 16.49/16.76 tff('159', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( big_f(X5, sk_Z(X3, X4, X5), X4) | ~ zip_tseitin_3(X3, X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('160', plain, ![X0]: big_f(sk_X, sk_Z(X0, sk_X, sk_X), sk_X), 16.49/16.76 inference('clc', [status(thm)], ['158', '159'])). 16.49/16.76 tff('161', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X0, X1, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_3(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('162', plain, 16.49/16.76 ![X0]: 16.49/16.76 (~ zip_tseitin_3(sk_Z(X0, sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_2(sk_Z(X0, sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['160', '161'])). 16.49/16.76 tff('163', plain, ![X0]: big_f(sk_X, sk_X, sk_Z(X0, sk_X, sk_X)), 16.49/16.76 inference('clc', [status(thm)], ['107', '108'])). 16.49/16.76 tff('164', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_5(X1, X0, X2) | ~ big_f(X2, X0, X1)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_5])). 16.49/16.76 tff('165', plain, ![X0]: zip_tseitin_5(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), 16.49/16.76 inference('sup-', [status(thm)], ['163', '164'])). 16.49/16.76 tff('166', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( big_f(sk_Z(X3, X4, X5), X4, X5) | ~ zip_tseitin_5(X3, X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('167', plain, 16.49/16.76 ![X0]: big_f(sk_Z(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), sk_X, sk_X), 16.49/16.76 inference('sup-', [status(thm)], ['165', '166'])). 16.49/16.76 tff('168', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | zip_tseitin_0(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_1(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('169', plain, 16.49/16.76 ![X0]: 16.49/16.76 (~ zip_tseitin_1(sk_Z(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), sk_X, sk_X) 16.49/16.76 | zip_tseitin_0(sk_Z(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['167', '168'])). 16.49/16.76 tff('170', plain, ![X0]: zip_tseitin_1(X0, sk_X, sk_X), 16.49/16.76 inference('sup-', [status(thm)], ['114', '115'])). 16.49/16.76 tff('171', plain, 16.49/16.76 ![X0]: zip_tseitin_0(sk_Z(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), sk_X, sk_X), 16.49/16.76 inference('demod', [status(thm)], ['169', '170'])). 16.49/16.76 tff('172', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X0, X1, X2) | ~ zip_tseitin_0(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('173', plain, 16.49/16.76 ![X0]: big_f(sk_X, sk_Z(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), sk_X), 16.49/16.76 inference('sup-', [status(thm)], ['171', '172'])). 16.49/16.76 tff('174', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_3(X3, X4, X5) | ~ big_f(X5, sk_Z(X3, X4, X5), X4)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('175', plain, ![X0]: zip_tseitin_3(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), 16.49/16.76 inference('sup-', [status(thm)], ['173', '174'])). 16.49/16.76 tff('176', plain, ![X0]: zip_tseitin_2(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), 16.49/16.76 inference('demod', [status(thm)], ['162', '175'])). 16.49/16.76 tff('177', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X1, X2, X0) | ~ zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('178', plain, ![X0]: big_f(sk_Z(X0, sk_X, sk_X), sk_X, sk_X), 16.49/16.76 inference('sup-', [status(thm)], ['176', '177'])). 16.49/16.76 tff('179', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_5(X3, X4, X5) | ~ big_f(sk_Z(X3, X4, X5), X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('180', plain, ![X0]: zip_tseitin_5(X0, sk_X, sk_X), 16.49/16.76 inference('sup-', [status(thm)], ['178', '179'])). 16.49/16.76 tff('181', plain, ![X0]: big_f(sk_X, sk_X, X0), 16.49/16.76 inference('demod', [status(thm)], ['149', '180'])). 16.49/16.76 tff('182', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X0, X1, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_3(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('183', plain, 16.49/16.76 ![X0]: (~ zip_tseitin_3(sk_X, sk_X, X0) | zip_tseitin_2(sk_X, sk_X, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['181', '182'])). 16.49/16.76 tff('184', plain, 16.49/16.76 ![X0]: ( zip_tseitin_0(X0, sk_X, sk_X) | zip_tseitin_2(sk_X, sk_X, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['140', '183'])). 16.49/16.76 tff('185', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X1, X2, X0) | ~ zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('186', plain, 16.49/16.76 ![X0]: ( zip_tseitin_0(X0, sk_X, sk_X) | big_f(sk_X, X0, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['184', '185'])). 16.49/16.76 tff('187', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X0, X1, X2) | ~ zip_tseitin_0(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('188', plain, ![X0]: big_f(sk_X, X0, sk_X), 16.49/16.76 inference('clc', [status(thm)], ['186', '187'])). 16.49/16.76 tff('189', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_6(X1, X0, X2) 16.49/16.76 | ~ big_f(X0, X1, X2) 16.49/16.76 | ~ big_f(X1, X2, X0) 16.49/16.76 | ~ big_f(X2, X0, X1)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_3])). 16.49/16.76 tff('190', plain, 16.49/16.76 ![X0]: 16.49/16.76 (~ big_f(sk_X, sk_X, X0) 16.49/16.76 | ~ big_f(X0, sk_X, sk_X) 16.49/16.76 | zip_tseitin_6(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['188', '189'])). 16.49/16.76 tff('191', plain, ![X0]: big_f(sk_X, sk_X, X0), 16.49/16.76 inference('demod', [status(thm)], ['149', '180'])). 16.49/16.76 tff('192', plain, 16.49/16.76 ![X0]: (~ big_f(X0, sk_X, sk_X) | zip_tseitin_6(X0, sk_X, sk_X)), 16.49/16.76 inference('demod', [status(thm)], ['190', '191'])). 16.49/16.76 tff('193', plain, ![X0]: big_f(sk_X, X0, sk_X), 16.49/16.76 inference('clc', [status(thm)], ['186', '187'])). 16.49/16.76 tff('194', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X0, X1, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_3(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('195', plain, 16.49/16.76 ![X0]: (~ zip_tseitin_3(X0, sk_X, sk_X) | zip_tseitin_2(X0, sk_X, sk_X)), 16.49/16.76 inference('sup-', [status(thm)], ['193', '194'])). 16.49/16.76 tff('196', plain, ![X0]: big_f(sk_X, sk_Z(X0, sk_X, sk_X), sk_X), 16.49/16.76 inference('clc', [status(thm)], ['158', '159'])). 16.49/16.76 tff('197', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_3(X3, X4, X5) | ~ big_f(X5, sk_Z(X3, X4, X5), X4)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('198', plain, ![X0]: zip_tseitin_3(X0, sk_X, sk_X), 16.49/16.76 inference('sup-', [status(thm)], ['196', '197'])). 16.49/16.76 tff('199', plain, ![X0]: zip_tseitin_2(X0, sk_X, sk_X), 16.49/16.76 inference('demod', [status(thm)], ['195', '198'])). 16.49/16.76 tff('200', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X1, X2, X0) | ~ zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('201', plain, ![X0]: big_f(X0, sk_X, sk_X), 16.49/16.76 inference('sup-', [status(thm)], ['199', '200'])). 16.49/16.76 tff('202', plain, ![X0]: zip_tseitin_6(X0, sk_X, sk_X), 16.49/16.76 inference('demod', [status(thm)], ['192', '201'])). 16.49/16.76 tff('203', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 (~ big_f(sk_Z(X3, X4, X5), sk_Z(X3, X4, X5), sk_Z(X3, X4, X5)) 16.49/16.76 | ~ zip_tseitin_6(X3, X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('204', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_3(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('205', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_3(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('206', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_2(X1, X0, X2) | ~ big_f(X2, X0, X1) | ~ big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('207', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_3(X1, X2, X0) 16.49/16.76 | ~ big_f(X0, X2, X1) 16.49/16.76 | zip_tseitin_2(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['205', '206'])). 16.49/16.76 tff('208', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_3(X1, X2, X0) 16.49/16.76 | zip_tseitin_2(X2, X0, X1) 16.49/16.76 | zip_tseitin_3(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['204', '207'])). 16.49/16.76 tff('209', plain, 16.49/16.76 ![X0]: ( zip_tseitin_3(X0, X0, X0) | zip_tseitin_2(X0, X0, X0)), 16.49/16.76 inference('eq_fact', [status(thm)], ['208'])). 16.49/16.76 tff('210', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_3(X1, X0, X2) | ~ zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('211', plain, ![X0]: zip_tseitin_3(X0, X0, X0), 16.49/16.76 inference('clc', [status(thm)], ['209', '210'])). 16.49/16.76 tff('212', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( big_f(X5, sk_Z(X3, X4, X5), X4) | ~ zip_tseitin_3(X3, X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('213', plain, ![X0]: big_f(X0, sk_Z(X0, X0, X0), X0), 16.49/16.76 inference('sup-', [status(thm)], ['211', '212'])). 16.49/16.76 tff('214', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | zip_tseitin_0(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_1(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('215', plain, 16.49/16.76 ![X0]: 16.49/16.76 (~ zip_tseitin_1(X0, X0, sk_Z(X0, X0, X0)) 16.49/16.76 | zip_tseitin_0(X0, X0, sk_Z(X0, X0, X0))), 16.49/16.76 inference('sup-', [status(thm)], ['213', '214'])). 16.49/16.76 tff('216', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_3(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('217', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('218', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 (~ big_f(sk_X, sk_X, sk_Z(X3, X4, X5)) 16.49/16.76 | big_f(X3, X5, X4) 16.49/16.76 | big_f(X4, X3, X5) 16.49/16.76 | ~ big_f(X5, X4, X3)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('219', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(sk_X, sk_X, sk_Z(X2, X1, X0)) 16.49/16.76 | ~ big_f(X0, X1, X2) 16.49/16.76 | big_f(X1, X2, X0) 16.49/16.76 | big_f(X2, X0, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['217', '218'])). 16.49/16.76 tff('220', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_3(X1, X2, X0) 16.49/16.76 | big_f(X0, X2, X1) 16.49/16.76 | big_f(X1, X0, X2) 16.49/16.76 | zip_tseitin_4(sk_X, sk_X, sk_Z(X0, X1, X2))), 16.49/16.76 inference('sup-', [status(thm)], ['216', '219'])). 16.49/16.76 tff('221', plain, ![X0]: big_f(sk_X, X0, sk_X), 16.49/16.76 inference('clc', [status(thm)], ['186', '187'])). 16.49/16.76 tff('222', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | ~ big_f(X0, X1, X2) 16.49/16.76 | ~ zip_tseitin_4(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('223', plain, 16.49/16.76 ![X0]: (~ zip_tseitin_4(sk_X, sk_X, X0) | ~ big_f(sk_X, sk_X, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['221', '222'])). 16.49/16.76 tff('224', plain, ![X0]: big_f(sk_X, sk_X, X0), 16.49/16.76 inference('demod', [status(thm)], ['149', '180'])). 16.49/16.76 tff('225', plain, ![X0]: ~ zip_tseitin_4(sk_X, sk_X, X0), 16.49/16.76 inference('demod', [status(thm)], ['223', '224'])). 16.49/16.76 tff('226', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( big_f(X1, X2, X0) | big_f(X2, X0, X1) | zip_tseitin_3(X1, X0, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['220', '225'])). 16.49/16.76 tff('227', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_1(X3, X4, X5) | ~ big_f(X4, X5, sk_Z(X3, X4, X5))), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('228', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_3(X1, sk_Z(X2, X1, X0), X0) 16.49/16.76 | big_f(X0, sk_Z(X2, X1, X0), X1) 16.49/16.76 | zip_tseitin_1(X2, X1, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['226', '227'])). 16.49/16.76 tff('229', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_3(X3, X4, X5) | ~ big_f(X5, sk_Z(X3, X4, X5), X4)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('230', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X2, X0, X1) 16.49/16.76 | zip_tseitin_3(X0, sk_Z(X2, X0, X1), X1) 16.49/16.76 | zip_tseitin_3(X2, X0, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['228', '229'])). 16.49/16.76 tff('231', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X2, X1, X0) | big_f(sk_Z(X2, X1, X0), X1, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['24', '25'])). 16.49/16.76 tff('232', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X0, X1, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_3(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('233', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X2, X1, X0) 16.49/16.76 | ~ zip_tseitin_3(X1, sk_Z(X2, X1, X0), X0) 16.49/16.76 | zip_tseitin_2(X1, sk_Z(X2, X1, X0), X0)), 16.49/16.76 inference('sup-', [status(thm)], ['231', '232'])). 16.49/16.76 tff('234', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_3(X2, X1, X0) 16.49/16.76 | zip_tseitin_1(X2, X1, X0) 16.49/16.76 | zip_tseitin_2(X1, sk_Z(X2, X1, X0), X0) 16.49/16.76 | zip_tseitin_4(X2, X1, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['230', '233'])). 16.49/16.76 tff('235', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X1, X2, X0) | ~ zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('236', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X2, X1, X0) 16.49/16.76 | zip_tseitin_1(X2, X1, X0) 16.49/16.76 | zip_tseitin_3(X2, X1, X0) 16.49/16.76 | big_f(X1, X0, sk_Z(X2, X1, X0))), 16.49/16.76 inference('sup-', [status(thm)], ['234', '235'])). 16.49/16.76 tff('237', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_1(X3, X4, X5) | ~ big_f(X4, X5, sk_Z(X3, X4, X5))), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('238', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_3(X2, X1, X0) 16.49/16.76 | zip_tseitin_1(X2, X1, X0) 16.49/16.76 | zip_tseitin_4(X2, X1, X0) 16.49/16.76 | zip_tseitin_1(X2, X1, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['236', '237'])). 16.49/16.76 tff('239', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X2, X1, X0) 16.49/16.76 | zip_tseitin_1(X2, X1, X0) 16.49/16.76 | zip_tseitin_3(X2, X1, X0)), 16.49/16.76 inference('simplify', [status(thm)], ['238'])). 16.49/16.76 tff('240', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X2, X0, X1) 16.49/16.76 | ~ zip_tseitin_4(X2, X0, X1) 16.49/16.76 | ~ big_f(X0, X2, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['70', '71'])). 16.49/16.76 tff('241', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_3(X2, X1, X0) 16.49/16.76 | zip_tseitin_1(X2, X1, X0) 16.49/16.76 | ~ big_f(X1, X2, X0) 16.49/16.76 | zip_tseitin_1(X2, X1, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['239', '240'])). 16.49/16.76 tff('242', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | zip_tseitin_1(X2, X1, X0) 16.49/16.76 | zip_tseitin_3(X2, X1, X0)), 16.49/16.76 inference('simplify', [status(thm)], ['241'])). 16.49/16.76 tff('243', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_3(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('244', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_3(X2, X1, X0) | zip_tseitin_1(X2, X1, X0)), 16.49/16.76 inference('clc', [status(thm)], ['242', '243'])). 16.49/16.76 tff('245', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_1(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('246', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_1(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('247', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(sk_X, sk_X, sk_Z(X2, X1, X0)) 16.49/16.76 | ~ big_f(X0, X1, X2) 16.49/16.76 | big_f(X1, X2, X0) 16.49/16.76 | big_f(X2, X0, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['217', '218'])). 16.49/16.76 tff('248', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X2, X0, X1) 16.49/16.76 | big_f(X0, X2, X1) 16.49/16.76 | big_f(X1, X0, X2) 16.49/16.76 | zip_tseitin_4(sk_X, sk_X, sk_Z(X0, X1, X2))), 16.49/16.76 inference('sup-', [status(thm)], ['246', '247'])). 16.49/16.76 tff('249', plain, ![X0]: ~ zip_tseitin_4(sk_X, sk_X, X0), 16.49/16.76 inference('demod', [status(thm)], ['223', '224'])). 16.49/16.76 tff('250', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( big_f(X1, X2, X0) | big_f(X2, X0, X1) | zip_tseitin_1(X0, X2, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['248', '249'])). 16.49/16.76 tff('251', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_5(X1, X0, X2) | ~ big_f(X2, X0, X1)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_5])). 16.49/16.76 tff('252', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X1, X2, X0) 16.49/16.76 | big_f(X0, X2, X1) 16.49/16.76 | zip_tseitin_5(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['250', '251'])). 16.49/16.76 tff('253', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_2(X1, X0, X2) | ~ big_f(X2, X0, X1) | ~ big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('254', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_5(X2, X0, X1) 16.49/16.76 | zip_tseitin_1(X0, X1, X2) 16.49/16.76 | ~ big_f(X0, X2, X1) 16.49/16.76 | zip_tseitin_2(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['252', '253'])). 16.49/16.76 tff('255', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X2, X0, X1) 16.49/16.76 | zip_tseitin_2(X2, X0, X1) 16.49/16.76 | zip_tseitin_1(X2, X0, X1) 16.49/16.76 | zip_tseitin_5(X1, X2, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['245', '254'])). 16.49/16.76 tff('256', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_5(X1, X2, X0) 16.49/16.76 | zip_tseitin_2(X2, X0, X1) 16.49/16.76 | zip_tseitin_1(X2, X0, X1)), 16.49/16.76 inference('simplify', [status(thm)], ['255'])). 16.49/16.76 tff('257', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('258', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_2(X1, X0, X2) | ~ big_f(X2, X0, X1) | ~ big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('259', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X2, X0, X1) 16.49/16.76 | ~ big_f(X0, X2, X1) 16.49/16.76 | zip_tseitin_2(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['257', '258'])). 16.49/16.76 tff('260', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('261', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_2(X0, X1, X2) | zip_tseitin_4(X2, X0, X1)), 16.49/16.76 inference('clc', [status(thm)], ['259', '260'])). 16.49/16.76 tff('262', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ zip_tseitin_4(X1, X0, X2) 16.49/16.76 | big_f(X2, X0, X1) 16.49/16.76 | ~ zip_tseitin_5(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_5])). 16.49/16.76 tff('263', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_2(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_5(X2, X1, X0) 16.49/16.76 | big_f(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['261', '262'])). 16.49/16.76 tff('264', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X1, X0, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2) 16.49/16.76 | big_f(X0, X1, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['256', '263'])). 16.49/16.76 tff('265', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( big_f(X0, X1, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2) 16.49/16.76 | zip_tseitin_1(X1, X0, X2)), 16.49/16.76 inference('simplify', [status(thm)], ['264'])). 16.49/16.76 tff('266', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X0, X1, X2) 16.49/16.76 | zip_tseitin_2(X1, X0, X2) 16.49/16.76 | ~ zip_tseitin_3(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_0])). 16.49/16.76 tff('267', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X1, X2, X0) 16.49/16.76 | zip_tseitin_2(X1, X2, X0) 16.49/16.76 | ~ zip_tseitin_3(X1, X2, X0) 16.49/16.76 | zip_tseitin_2(X1, X2, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['265', '266'])). 16.49/16.76 tff('268', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ zip_tseitin_3(X1, X2, X0) 16.49/16.76 | zip_tseitin_2(X1, X2, X0) 16.49/16.76 | zip_tseitin_1(X1, X2, X0)), 16.49/16.76 inference('simplify', [status(thm)], ['267'])). 16.49/16.76 tff('269', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X2, X1, X0) 16.49/16.76 | zip_tseitin_1(X2, X1, X0) 16.49/16.76 | zip_tseitin_2(X2, X1, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['244', '268'])). 16.49/16.76 tff('270', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_2(X2, X1, X0) | zip_tseitin_1(X2, X1, X0)), 16.49/16.76 inference('simplify', [status(thm)], ['269'])). 16.49/16.76 tff('271', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X2, X0, X1) | ~ zip_tseitin_2(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_10])). 16.49/16.76 tff('272', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_1(X2, X1, X0) | big_f(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['270', '271'])). 16.49/16.76 tff('273', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_1(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('274', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_1(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('275', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_0(X1, X0, X2) | ~ big_f(X2, X0, X1) | ~ big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('276', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X2, X0, X1) 16.49/16.76 | ~ big_f(X1, X0, X2) 16.49/16.76 | zip_tseitin_0(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['274', '275'])). 16.49/16.76 tff('277', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X2, X0, X1) 16.49/16.76 | zip_tseitin_0(X1, X2, X0) 16.49/16.76 | zip_tseitin_1(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['273', '276'])). 16.49/16.76 tff('278', plain, 16.49/16.76 ![X0]: ( zip_tseitin_1(X0, X0, X0) | zip_tseitin_0(X0, X0, X0)), 16.49/16.76 inference('eq_fact', [status(thm)], ['277'])). 16.49/16.76 tff('279', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_1(X1, X0, X2) | ~ zip_tseitin_0(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('280', plain, ![X0]: zip_tseitin_1(X0, X0, X0), 16.49/16.76 inference('clc', [status(thm)], ['278', '279'])). 16.49/16.76 tff('281', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( big_f(X4, X5, sk_Z(X3, X4, X5)) | ~ zip_tseitin_1(X3, X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('282', plain, ![X0]: big_f(X0, X0, sk_Z(X0, X0, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['280', '281'])). 16.49/16.76 tff('283', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('284', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_0(X1, X0, X2) | ~ big_f(X2, X0, X1) | ~ big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('285', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X2, X0, X1) 16.49/16.76 | ~ big_f(X1, X0, X2) 16.49/16.76 | zip_tseitin_0(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['283', '284'])). 16.49/16.76 tff('286', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_0(X0, X0, sk_Z(X0, X0, X0)) 16.49/16.76 | zip_tseitin_4(sk_Z(X0, X0, X0), X0, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['282', '285'])). 16.49/16.76 tff('287', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_1(X1, X0, X2) | big_f(X1, X2, X0)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('288', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_4(X1, X0, X2) | big_f(X0, X1, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('289', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | ~ big_f(X0, X1, X2) 16.49/16.76 | ~ zip_tseitin_4(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('290', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_4(X1, X2, X0) 16.49/16.76 | ~ zip_tseitin_4(X2, X0, X1) 16.49/16.76 | ~ big_f(X0, X2, X1)), 16.49/16.76 inference('sup-', [status(thm)], ['288', '289'])). 16.49/16.76 tff('291', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_1(X2, X0, X1) 16.49/16.76 | ~ zip_tseitin_4(X1, X2, X0) 16.49/16.76 | zip_tseitin_4(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['287', '290'])). 16.49/16.76 tff('292', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_0(X0, X0, sk_Z(X0, X0, X0)) 16.49/16.76 | zip_tseitin_4(X0, sk_Z(X0, X0, X0), X0) 16.49/16.76 | zip_tseitin_1(X0, X0, sk_Z(X0, X0, X0))), 16.49/16.76 inference('sup-', [status(thm)], ['286', '291'])). 16.49/16.76 tff('293', plain, 16.49/16.76 ![X0, X1, X2]: ( zip_tseitin_1(X1, X0, X2) | ~ zip_tseitin_0(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_1])). 16.49/16.76 tff('294', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, X0, sk_Z(X0, X0, X0)) 16.49/16.76 | zip_tseitin_4(X0, sk_Z(X0, X0, X0), X0)), 16.49/16.76 inference('clc', [status(thm)], ['292', '293'])). 16.49/16.76 tff('295', plain, ![X0]: big_f(X0, X0, sk_Z(X0, X0, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['280', '281'])). 16.49/16.76 tff('296', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 (~ big_f(X1, X2, X0) 16.49/16.76 | ~ big_f(X0, X1, X2) 16.49/16.76 | ~ zip_tseitin_4(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_7])). 16.49/16.76 tff('297', plain, 16.49/16.76 ![X0]: 16.49/16.76 (~ zip_tseitin_4(X0, sk_Z(X0, X0, X0), X0) 16.49/16.76 | ~ big_f(sk_Z(X0, X0, X0), X0, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['295', '296'])). 16.49/16.76 tff('298', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, X0, sk_Z(X0, X0, X0)) 16.49/16.76 | ~ big_f(sk_Z(X0, X0, X0), X0, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['294', '297'])). 16.49/16.76 tff('299', plain, 16.49/16.76 ![X0]: 16.49/16.76 ( zip_tseitin_1(X0, X0, sk_Z(X0, X0, X0)) 16.49/16.76 | zip_tseitin_1(X0, X0, sk_Z(X0, X0, X0))), 16.49/16.76 inference('sup-', [status(thm)], ['272', '298'])). 16.49/16.76 tff('300', plain, ![X0]: zip_tseitin_1(X0, X0, sk_Z(X0, X0, X0)), 16.49/16.76 inference('simplify', [status(thm)], ['299'])). 16.49/16.76 tff('301', plain, ![X0]: zip_tseitin_0(X0, X0, sk_Z(X0, X0, X0)), 16.49/16.76 inference('demod', [status(thm)], ['215', '300'])). 16.49/16.76 tff('302', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X2, X0, X1) | ~ zip_tseitin_0(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('303', plain, ![X0]: big_f(sk_Z(X0, X0, X0), X0, X0), 16.49/16.76 inference('sup-', [status(thm)], ['301', '302'])). 16.49/16.76 tff('304', plain, 16.49/16.76 ![X3, X4, X5]: 16.49/16.76 ( zip_tseitin_5(X3, X4, X5) | ~ big_f(sk_Z(X3, X4, X5), X4, X5)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_15])). 16.49/16.76 tff('305', plain, ![X0]: zip_tseitin_5(X0, X0, X0), 16.49/16.76 inference('sup-', [status(thm)], ['303', '304'])). 16.49/16.76 tff('306', plain, 16.49/16.76 ![X0, X1, X2]: 16.49/16.76 ( zip_tseitin_0(X0, X2, X1) 16.49/16.76 | ~ zip_tseitin_5(X2, X1, X0) 16.49/16.76 | big_f(X0, X1, X2)), 16.49/16.76 inference('sup-', [status(thm)], ['48', '49'])). 16.49/16.76 tff('307', plain, ![X0]: ( big_f(X0, X0, X0) | zip_tseitin_0(X0, X0, X0)), 16.49/16.76 inference('sup-', [status(thm)], ['305', '306'])). 16.49/16.76 tff('308', plain, 16.49/16.76 ![X0, X1, X2]: ( big_f(X0, X1, X2) | ~ zip_tseitin_0(X1, X0, X2)), 16.49/16.76 inference('cnf', [status(esa)], [zf_stmt_13])). 16.49/16.76 tff('309', plain, ![X0]: big_f(X0, X0, X0), 16.49/16.76 inference('clc', [status(thm)], ['307', '308'])). 16.49/16.76 tff('310', plain, ![X3, X4, X5]: ~ zip_tseitin_6(X3, X4, X5), 16.49/16.76 inference('demod', [status(thm)], ['203', '309'])). 16.49/16.76 tff('311', plain, $false, inference('sup-', [status(thm)], ['202', '310'])). 16.49/16.76 16.49/16.76 % SZS output end Refutation 16.49/16.76 16.49/16.77 % Zipperpin 1.5 exiting 16.49/16.77 EOF