0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.qOfbzeGq6y 0.12/0.33 % Computer : n023.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % DateTime : Thu Jul 2 07:03:59 EDT 2020 0.12/0.33 % CPUTime : 0.12/0.33 % Running portfolio for 120 s 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.33 % Number of cores: 8 0.12/0.33 % Python version: Python 3.6.8 0.12/0.34 % Running in FO mode 8.53/8.75 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 8.53/8.75 % Solved by: fo/fo7.sh 8.53/8.75 To remain in the chosen logic fragment, unification with booleans has been disabled. 8.53/8.75 % done 14370 iterations in 8.294s 8.53/8.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 8.53/8.75 % SZS output start Refutation 8.53/8.75 tff(nc5, conjecture, 8.53/8.75 (((?[A]: 8.53/8.75 (((?[B]: g_true_only(A,B)) & 8.53/8.75 (((?[B]: h_both(A,B)) & (~(?[B]: h_true_only(A,B)))) | 8.53/8.75 (![B]: h_false_only(A,B)))) | 8.53/8.75 ((?[B]: g_both(A,B)) & (~(?[B]: g_true_only(A,B))) & 8.53/8.75 (![B]: h_false_only(A,B))))) & 8.53/8.75 (?[A,B]: 8.53/8.75 (![C]: 8.53/8.75 ((h_false_only(A,C) & g_both(A,B)) | 8.53/8.75 ((h_both(A,C) | h_false_only(A,C)) & g_true_only(A,B)))))) | 8.53/8.75 ((?[A]: 8.53/8.75 ((?[B]: g_both(A,B)) & (~(?[B]: g_true_only(A,B))) & 8.53/8.75 (?[B]: h_both(A,B)) & (~(?[B]: h_true_only(A,B))))) & 8.53/8.75 (~ 8.53/8.75 (?[A]: 8.53/8.75 (((?[B]: g_both(A,B)) & (![B]: h_false_only(A,B)) & 8.53/8.75 (~(?[B]: g_true_only(A,B)))) | 8.53/8.75 ((?[B]: g_true_only(A,B)) & 8.53/8.75 (((?[B]: h_both(A,B)) & (~(?[B]: h_true_only(A,B)))) | 8.53/8.75 (![B]: h_false_only(A,B))))))) & 8.53/8.75 (~ 8.53/8.75 (?[A,B]: 8.53/8.75 (![C]: 8.53/8.75 ((g_both(A,B) & h_false_only(A,C)) | 8.53/8.75 (g_true_only(A,B) & (h_false_only(A,C) | h_both(A,C))))))) & 8.53/8.75 (?[A]: 8.53/8.75 ((?[B]: 8.53/8.75 ((?[C]: (g_both(A,B) & h_both(A,C))) & 8.53/8.75 (~(?[C]: (h_true_only(A,C) | g_false_only(A,B)))))) & 8.53/8.75 (~ 8.53/8.75 (?[B]: 8.53/8.75 (![C]: 8.53/8.75 ((g_both(A,B) & h_false_only(A,C)) | 8.53/8.75 ((h_both(A,C) | h_false_only(A,C)) & g_true_only(A,B))))))))) | 8.53/8.75 ((![A,B]: (?[C]: (g_false_only(A,B) | h_true_only(A,C)))) & 8.53/8.75 (![A]: ((![B]: g_false_only(A,B)) | (?[B]: h_true_only(A,B))))))). 8.53/8.75 tff(zf_stmt_0, negated_conjecture, 8.53/8.75 (~ 8.53/8.75 (((?[A]: 8.53/8.75 (((?[B]: g_true_only(A,B)) & 8.53/8.75 (((?[B]: h_both(A,B)) & (~(?[B]: h_true_only(A,B)))) | 8.53/8.75 (![B]: h_false_only(A,B)))) | 8.53/8.75 ((?[B]: g_both(A,B)) & (~(?[B]: g_true_only(A,B))) & 8.53/8.75 (![B]: h_false_only(A,B))))) & 8.53/8.75 (?[A,B]: 8.53/8.75 (![C]: 8.53/8.75 ((h_false_only(A,C) & g_both(A,B)) | 8.53/8.75 ((h_both(A,C) | h_false_only(A,C)) & g_true_only(A,B)))))) | 8.53/8.75 ((?[A]: 8.53/8.75 ((?[B]: g_both(A,B)) & (~(?[B]: g_true_only(A,B))) & 8.53/8.75 (?[B]: h_both(A,B)) & (~(?[B]: h_true_only(A,B))))) & 8.53/8.75 (~ 8.53/8.75 (?[A]: 8.53/8.75 (((?[B]: g_both(A,B)) & (![B]: h_false_only(A,B)) & 8.53/8.75 (~(?[B]: g_true_only(A,B)))) | 8.53/8.75 ((?[B]: g_true_only(A,B)) & 8.53/8.75 (((?[B]: h_both(A,B)) & (~(?[B]: h_true_only(A,B)))) | 8.53/8.75 (![B]: h_false_only(A,B))))))) & 8.53/8.75 (~ 8.53/8.75 (?[A,B]: 8.53/8.75 (![C]: 8.53/8.75 ((g_both(A,B) & h_false_only(A,C)) | 8.53/8.75 (g_true_only(A,B) & (h_false_only(A,C) | h_both(A,C))))))) & 8.53/8.75 (?[A]: 8.53/8.75 ((?[B]: 8.53/8.75 ((?[C]: (g_both(A,B) & h_both(A,C))) & 8.53/8.75 (~(?[C]: (h_true_only(A,C) | g_false_only(A,B)))))) & 8.53/8.75 (~ 8.53/8.75 (?[B]: 8.53/8.75 (![C]: 8.53/8.75 ((g_both(A,B) & h_false_only(A,C)) | 8.53/8.75 ((h_both(A,C) | h_false_only(A,C)) & g_true_only(A,B))))))))) | 8.53/8.75 ((![A,B]: (?[C]: (g_false_only(A,B) | h_true_only(A,C)))) & 8.53/8.75 (![A]: ((![B]: g_false_only(A,B)) | (?[B]: h_true_only(A,B)))))))). 8.53/8.75 tff('0', plain, 8.53/8.75 ![X24, X25, X26, X27, X29, X30, X31, X34, X35]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | h_false_only(sk_A, X34) 8.53/8.75 | ~ h_true_only(sk_A, X35) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | g_both(sk_A_1, sk_B_9) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('1', plain, 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) | 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X27]: ~ g_true_only(sk_A, X27)) | ( g_true_only(sk_A_1, sk_B_9)) | 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) | (![X35]: ~ h_true_only(sk_A, X35)), 8.53/8.75 inference('split', [status(esa)], ['0'])). 8.53/8.75 tff('2', plain, 8.53/8.75 ![X24, X25, X26, X28, X29, X30, X31]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | g_both(sk_A, sk_B_6) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('3', plain, ( g_both(sk_A, sk_B_6)) <= (( g_both(sk_A, sk_B_6))), 8.53/8.75 inference('split', [status(esa)], ['2'])). 8.53/8.75 tff('4', plain, 8.53/8.75 ![X24, X25, X26, X28, X29, X30, X31, X33]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | h_false_only(sk_A, X33) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('5', plain, 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) 8.53/8.75 <= ((![X33]: h_false_only(sk_A, X33))), 8.53/8.75 inference('split', [status(esa)], ['4'])). 8.53/8.75 tff('6', plain, 8.53/8.75 ![X38, X39, X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42) 8.53/8.75 | ~ h_false_only(X38, sk_C(X39, X38)) 8.53/8.75 | ~ g_both(X38, X39)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('7', plain, 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) 8.53/8.75 <= ((![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('split', [status(esa)], ['6'])). 8.53/8.75 tff('8', plain, 8.53/8.75 (![X0]: (~ g_both(sk_A, X0) | g_true_only(sk_A, sk_B_2(sk_A)))) 8.53/8.75 <= ((![X33]: h_false_only(sk_A, X33)) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['5', '7'])). 8.53/8.75 tff('9', plain, 8.53/8.75 ( g_true_only(sk_A, sk_B_2(sk_A))) 8.53/8.75 <= ((![X33]: h_false_only(sk_A, X33)) & 8.53/8.75 ( g_both(sk_A, sk_B_6)) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['3', '8'])). 8.53/8.75 tff('10', plain, 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) 8.53/8.75 <= ((![X33]: h_false_only(sk_A, X33))), 8.53/8.75 inference('split', [status(esa)], ['4'])). 8.53/8.75 tff('11', plain, 8.53/8.75 ![X36, X37, X38, X39]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) 8.53/8.75 | ~ g_true_only(X36, X37) 8.53/8.75 | ~ h_false_only(X38, sk_C(X39, X38)) 8.53/8.75 | ~ g_true_only(X38, X39)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('12', plain, 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('split', [status(esa)], ['11'])). 8.53/8.75 tff('13', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A, X0)) 8.53/8.75 <= ((![X33]: h_false_only(sk_A, X33)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['10', '12'])). 8.53/8.75 tff('14', plain, 8.53/8.75 ~ ( g_both(sk_A, sk_B_6)) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.75 ~ (![X33]: h_false_only(sk_A, X33)) | 8.53/8.75 ~ 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))), 8.53/8.75 inference('sup-', [status(thm)], ['9', '13'])). 8.53/8.75 tff('15', plain, 8.53/8.75 ![X24, X25, X26, X27, X29, X30, X31]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | g_both(sk_A_1, sk_B_9) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('16', plain, ( g_both(sk_A_1, sk_B_9)) <= (( g_both(sk_A_1, sk_B_9))), 8.53/8.75 inference('split', [status(esa)], ['15'])). 8.53/8.75 tff('17', plain, ( g_both(sk_A_1, sk_B_9)) <= (( g_both(sk_A_1, sk_B_9))), 8.53/8.75 inference('split', [status(esa)], ['15'])). 8.53/8.75 tff(exhaustion_h, axiom, 8.53/8.75 (![X_2,X_1]: 8.53/8.75 (h_both(X_2,X_1) | h_false_only(X_2,X_1) | h_true_only(X_2,X_1)))). 8.53/8.75 tff('18', plain, 8.53/8.75 ![X0, X1]: 8.53/8.75 ( h_both(X0, X1) | h_false_only(X0, X1) | h_true_only(X0, X1)), 8.53/8.75 inference('cnf', [status(esa)], [exhaustion_h])). 8.53/8.75 tff(both_h, axiom, 8.53/8.75 (![X_2,X_1]: ((h_false(X_2,X_1) & h_true(X_2,X_1)) <=> h_both(X_2,X_1)))). 8.53/8.75 tff('19', plain, ![X19, X21]: ( h_false(X19, X21) | ~ h_both(X19, X21)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('20', plain, 8.53/8.75 ![X0, X1]: 8.53/8.75 ( h_true_only(X1, X0) | h_false_only(X1, X0) | h_false(X1, X0)), 8.53/8.75 inference('sup-', [status(thm)], ['18', '19'])). 8.53/8.75 tff(false_only_h, axiom, 8.53/8.75 (![X_2,X_1]: 8.53/8.75 (((~h_true(X_2,X_1)) & h_false(X_2,X_1)) <=> h_false_only(X_2,X_1)))). 8.53/8.75 tff('21', plain, ![X4, X6]: ( h_false(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('22', plain, ![X0, X1]: ( h_false(X1, X0) | h_true_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['20', '21'])). 8.53/8.75 tff(true_only_h, axiom, 8.53/8.75 (![X_2,X_1]: 8.53/8.75 (((~h_false(X_2,X_1)) & h_true(X_2,X_1)) <=> h_true_only(X_2,X_1)))). 8.53/8.75 tff('23', plain, ![X13, X15]: ( h_true(X13, X15) | ~ h_true_only(X13, X15)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_h])). 8.53/8.75 tff('24', plain, ![X0, X1]: ( h_false(X1, X0) | h_true(X1, X0)), 8.53/8.75 inference('sup-', [status(thm)], ['22', '23'])). 8.53/8.75 tff('25', plain, 8.53/8.75 ![X4, X5]: ( h_false_only(X4, X5) | ~ h_false(X4, X5) | h_true(X4, X5)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('26', plain, 8.53/8.75 ![X0, X1]: ( h_true(X1, X0) | h_true(X1, X0) | h_false_only(X1, X0)), 8.53/8.75 inference('sup-', [status(thm)], ['24', '25'])). 8.53/8.75 tff('27', plain, ![X0, X1]: ( h_false_only(X1, X0) | h_true(X1, X0)), 8.53/8.75 inference('simplify', [status(thm)], ['26'])). 8.53/8.75 tff('28', plain, 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) 8.53/8.75 <= ((![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('split', [status(esa)], ['6'])). 8.53/8.75 tff('29', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_true(X0, sk_B_3(X0)) 8.53/8.75 | ~ g_both(X0, X1) 8.53/8.75 | g_true_only(X0, sk_B_2(X0)))) 8.53/8.75 <= ((![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['27', '28'])). 8.53/8.75 tff('30', plain, 8.53/8.75 (( g_true_only(sk_A_1, sk_B_2(sk_A_1)) | h_true(sk_A_1, sk_B_3(sk_A_1)))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['17', '29'])). 8.53/8.75 tff('31', plain, 8.53/8.75 ![X24, X25, X26, X27, X28, X29, X30, X31]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | h_both(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('32', plain, 8.53/8.75 ![X24, X25, X26, X27, X28, X29, X30, X31]: 8.53/8.75 ( g_false_only(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_both(sk_A_1, X28) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | h_true_only(X24, sk_B_5(X24))), 8.53/8.75 inference('simplify', [status(thm)], ['31'])). 8.53/8.75 tff('33', plain, 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('split', [status(esa)], ['32'])). 8.53/8.75 tff('34', plain, ![X19, X21]: ( h_false(X19, X21) | ~ h_both(X19, X21)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('35', plain, 8.53/8.75 (![X0]: ( h_false_only(sk_A_1, X0) | h_false(sk_A_1, X0))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('sup-', [status(thm)], ['33', '34'])). 8.53/8.75 tff('36', plain, ![X4, X6]: ( h_false(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('37', plain, 8.53/8.75 (![X0]: h_false(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('clc', [status(thm)], ['35', '36'])). 8.53/8.75 tff(exhaustion_g, axiom, 8.53/8.75 (![X_2,X_1]: 8.53/8.75 (g_false_only(X_2,X_1) | g_both(X_2,X_1) | g_true_only(X_2,X_1)))). 8.53/8.75 tff('38', plain, 8.53/8.75 ![X2, X3]: 8.53/8.75 ( g_false_only(X2, X3) | g_both(X2, X3) | g_true_only(X2, X3)), 8.53/8.75 inference('cnf', [status(esa)], [exhaustion_g])). 8.53/8.75 tff(both_g, axiom, 8.53/8.75 (![X_2,X_1]: (g_both(X_2,X_1) <=> (g_false(X_2,X_1) & g_true(X_2,X_1))))). 8.53/8.75 tff('39', plain, ![X16, X17]: ( g_false(X16, X17) | ~ g_both(X16, X17)), 8.53/8.75 inference('cnf', [status(esa)], [both_g])). 8.53/8.75 tff('40', plain, 8.53/8.75 ![X0, X1]: 8.53/8.75 ( g_true_only(X1, X0) | g_false_only(X1, X0) | g_false(X1, X0)), 8.53/8.75 inference('sup-', [status(thm)], ['38', '39'])). 8.53/8.75 tff(false_only_g, axiom, 8.53/8.75 (![X_2,X_1]: 8.53/8.75 (((~g_true(X_2,X_1)) & g_false(X_2,X_1)) <=> g_false_only(X_2,X_1)))). 8.53/8.75 tff('41', plain, 8.53/8.75 ![X10, X12]: ( g_false(X10, X12) | ~ g_false_only(X10, X12)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_g])). 8.53/8.75 tff('42', plain, ![X0, X1]: ( g_false(X1, X0) | g_true_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['40', '41'])). 8.53/8.75 tff('43', plain, ![X0, X1]: ( h_false_only(X1, X0) | h_true(X1, X0)), 8.53/8.75 inference('simplify', [status(thm)], ['26'])). 8.53/8.75 tff('44', plain, 8.53/8.75 ![X36, X37, X38, X39]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) 8.53/8.75 | ~ g_true_only(X36, X37) 8.53/8.75 | ~ h_false_only(X38, sk_C(X39, X38)) 8.53/8.75 | ~ g_both(X38, X39)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('45', plain, 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) 8.53/8.75 <= ((![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('split', [status(esa)], ['44'])). 8.53/8.75 tff('46', plain, 8.53/8.75 (![X0, X1]: ( h_true(X0, sk_B_1(X0)) | ~ g_true_only(X0, X1))) 8.53/8.75 <= ((![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['43', '45'])). 8.53/8.75 tff('47', plain, 8.53/8.75 (![X0, X1]: ( g_false(X1, X0) | h_true(X1, sk_B_1(X1)))) 8.53/8.75 <= ((![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['42', '46'])). 8.53/8.75 tff('48', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('49', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( g_false(X0, X1) 8.53/8.75 | ~ h_false(X0, sk_B_1(X0)) 8.53/8.75 | h_both(X0, sk_B_1(X0)))) 8.53/8.75 <= ((![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['47', '48'])). 8.53/8.75 tff('50', plain, 8.53/8.75 (![X0]: ( h_both(sk_A_1, sk_B_1(sk_A_1)) | g_false(sk_A_1, X0))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['37', '49'])). 8.53/8.75 tff(true_only_g, axiom, 8.53/8.75 (![X_2,X_1]: 8.53/8.75 (((~g_false(X_2,X_1)) & g_true(X_2,X_1)) <=> g_true_only(X_2,X_1)))). 8.53/8.75 tff('51', plain, ![X7, X9]: (~ g_false(X7, X9) | ~ g_true_only(X7, X9)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_g])). 8.53/8.75 tff('52', plain, 8.53/8.75 (![X0]: ( h_both(sk_A_1, sk_B_1(sk_A_1)) | ~ g_true_only(sk_A_1, X0))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['50', '51'])). 8.53/8.75 tff('53', plain, 8.53/8.75 (( h_true(sk_A_1, sk_B_3(sk_A_1)) | h_both(sk_A_1, sk_B_1(sk_A_1)))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['30', '52'])). 8.53/8.75 tff('54', plain, 8.53/8.75 (( g_true_only(sk_A_1, sk_B_2(sk_A_1)) | h_true(sk_A_1, sk_B_3(sk_A_1)))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['17', '29'])). 8.53/8.75 tff('55', plain, 8.53/8.75 ![X36, X37, X38, X39, X40]: 8.53/8.75 ( h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40) 8.53/8.75 | ~ g_true_only(X36, X37) 8.53/8.75 | ~ h_false_only(X38, sk_C(X39, X38)) 8.53/8.75 | ~ g_both(X38, X39)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('56', plain, 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) 8.53/8.75 <= ((![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('split', [status(esa)], ['55'])). 8.53/8.75 tff('57', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_true(sk_A_1, sk_B_3(sk_A_1)) 8.53/8.75 | ~ h_both(sk_A_1, X0) 8.53/8.75 | h_true_only(sk_A_1, sk_B(sk_A_1)))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['54', '56'])). 8.53/8.75 tff('58', plain, 8.53/8.75 (( h_true(sk_A_1, sk_B_3(sk_A_1)) 8.53/8.75 | h_true_only(sk_A_1, sk_B(sk_A_1)) 8.53/8.75 | h_true(sk_A_1, sk_B_3(sk_A_1)))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['53', '57'])). 8.53/8.75 tff('59', plain, 8.53/8.75 (( h_true_only(sk_A_1, sk_B(sk_A_1)) | h_true(sk_A_1, sk_B_3(sk_A_1)))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('simplify', [status(thm)], ['58'])). 8.53/8.75 tff('60', plain, 8.53/8.75 (![X0]: h_false(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('clc', [status(thm)], ['35', '36'])). 8.53/8.75 tff('61', plain, 8.53/8.75 ![X13, X15]: (~ h_false(X13, X15) | ~ h_true_only(X13, X15)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_h])). 8.53/8.75 tff('62', plain, 8.53/8.75 (![X0]: ~ h_true_only(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('sup-', [status(thm)], ['60', '61'])). 8.53/8.75 tff('63', plain, 8.53/8.75 ( h_true(sk_A_1, sk_B_3(sk_A_1))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['59', '62'])). 8.53/8.75 tff('64', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('65', plain, 8.53/8.75 ((~ h_false(sk_A_1, sk_B_3(sk_A_1)) | h_both(sk_A_1, sk_B_3(sk_A_1)))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['63', '64'])). 8.53/8.75 tff('66', plain, 8.53/8.75 (![X0]: h_false(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('clc', [status(thm)], ['35', '36'])). 8.53/8.75 tff('67', plain, 8.53/8.75 ( h_both(sk_A_1, sk_B_3(sk_A_1))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('demod', [status(thm)], ['65', '66'])). 8.53/8.75 tff('68', plain, 8.53/8.75 ![X24, X25, X26, X27, X28, X29, X30, X31, X32]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(X29, X32) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('69', plain, 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('split', [status(esa)], ['68'])). 8.53/8.75 tff('70', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_false_only(sk_A_1, X0) 8.53/8.75 | g_false_only(sk_A_1, X1) 8.53/8.75 | h_true_only(sk_A_1, sk_C_1(sk_A_1)) 8.53/8.75 | ~ g_both(sk_A_1, X1) 8.53/8.75 | g_true_only(sk_A_1, sk_B_10(sk_A_1)))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['67', '69'])). 8.53/8.75 tff('71', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( g_true_only(sk_A_1, sk_B_10(sk_A_1)) 8.53/8.75 | h_true_only(sk_A_1, sk_C_1(sk_A_1)) 8.53/8.75 | g_false_only(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(sk_A_1, X0))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['16', '70'])). 8.53/8.75 tff('72', plain, 8.53/8.75 ![X0, X1]: 8.53/8.75 ( h_both(X0, X1) | h_false_only(X0, X1) | h_true_only(X0, X1)), 8.53/8.75 inference('cnf', [status(esa)], [exhaustion_h])). 8.53/8.75 tff('73', plain, ![X0, X1]: ( g_false(X1, X0) | g_true_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['40', '41'])). 8.53/8.75 tff('74', plain, 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) 8.53/8.75 <= ((![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('split', [status(esa)], ['55'])). 8.53/8.75 tff('75', plain, 8.53/8.75 (![X0, X1, X2]: 8.53/8.75 ( g_false(X1, X0) | ~ h_both(X1, X2) | h_true_only(X1, sk_B(X1)))) 8.53/8.75 <= ((![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['73', '74'])). 8.53/8.75 tff('76', plain, 8.53/8.75 (![X0, X1, X2]: 8.53/8.75 ( h_true_only(X1, X0) 8.53/8.75 | h_false_only(X1, X0) 8.53/8.75 | h_true_only(X1, sk_B(X1)) 8.53/8.75 | g_false(X1, X2))) 8.53/8.75 <= ((![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['72', '75'])). 8.53/8.75 tff('77', plain, 8.53/8.75 (![X0]: ~ h_true_only(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('sup-', [status(thm)], ['60', '61'])). 8.53/8.75 tff('78', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( g_false(sk_A_1, X0) 8.53/8.75 | h_false_only(sk_A_1, X1) 8.53/8.75 | h_true_only(sk_A_1, X1))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['76', '77'])). 8.53/8.75 tff('79', plain, 8.53/8.75 (![X0]: ~ h_true_only(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('sup-', [status(thm)], ['60', '61'])). 8.53/8.75 tff('80', plain, 8.53/8.75 (![X0, X1]: ( h_false_only(sk_A_1, X1) | g_false(sk_A_1, X0))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('clc', [status(thm)], ['78', '79'])). 8.53/8.75 tff('81', plain, 8.53/8.75 (![X0, X1]: ( g_false(X1, X0) | h_true(X1, sk_B_1(X1)))) 8.53/8.75 <= ((![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['42', '46'])). 8.53/8.75 tff('82', plain, ![X4, X6]: (~ h_true(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('83', plain, 8.53/8.75 (![X0, X1]: ( g_false(X0, X1) | ~ h_false_only(X0, sk_B_1(X0)))) 8.53/8.75 <= ((![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['81', '82'])). 8.53/8.75 tff('84', plain, 8.53/8.75 (![X0, X1]: ( g_false(sk_A_1, X1) | g_false(sk_A_1, X0))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['80', '83'])). 8.53/8.75 tff('85', plain, 8.53/8.75 (![X0]: g_false(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('condensation', [status(thm)], ['84'])). 8.53/8.75 tff('86', plain, ![X7, X9]: (~ g_false(X7, X9) | ~ g_true_only(X7, X9)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_g])). 8.53/8.75 tff('87', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['85', '86'])). 8.53/8.75 tff('88', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_false_only(sk_A_1, X0) 8.53/8.75 | g_false_only(sk_A_1, sk_B_9) 8.53/8.75 | h_true_only(sk_A_1, sk_C_1(sk_A_1)))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['71', '87'])). 8.53/8.75 tff('89', plain, ( g_both(sk_A_1, sk_B_9)) <= (( g_both(sk_A_1, sk_B_9))), 8.53/8.75 inference('split', [status(esa)], ['15'])). 8.53/8.75 tff('90', plain, ![X16, X17]: ( g_true(X16, X17) | ~ g_both(X16, X17)), 8.53/8.75 inference('cnf', [status(esa)], [both_g])). 8.53/8.75 tff('91', plain, ( g_true(sk_A_1, sk_B_9)) <= (( g_both(sk_A_1, sk_B_9))), 8.53/8.75 inference('sup-', [status(thm)], ['89', '90'])). 8.53/8.75 tff('92', plain, 8.53/8.75 ![X10, X12]: (~ g_true(X10, X12) | ~ g_false_only(X10, X12)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_g])). 8.53/8.75 tff('93', plain, 8.53/8.75 (~ g_false_only(sk_A_1, sk_B_9)) <= (( g_both(sk_A_1, sk_B_9))), 8.53/8.75 inference('sup-', [status(thm)], ['91', '92'])). 8.53/8.75 tff('94', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_true_only(sk_A_1, sk_C_1(sk_A_1)) | h_false_only(sk_A_1, X0))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['88', '93'])). 8.53/8.75 tff('95', plain, 8.53/8.75 (![X0]: ~ h_true_only(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('sup-', [status(thm)], ['60', '61'])). 8.53/8.75 tff('96', plain, 8.53/8.75 (![X0]: h_false_only(sk_A_1, X0)) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['94', '95'])). 8.53/8.75 tff('97', plain, 8.53/8.75 ( h_true(sk_A_1, sk_B_3(sk_A_1))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['59', '62'])). 8.53/8.75 tff('98', plain, ![X4, X6]: (~ h_true(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('99', plain, 8.53/8.75 (~ h_false_only(sk_A_1, sk_B_3(sk_A_1))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['97', '98'])). 8.53/8.75 tff('100', plain, 8.53/8.75 ~ ( g_both(sk_A_1, sk_B_9)) | 8.53/8.75 ~ 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) | 8.53/8.75 ~ 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) | 8.53/8.75 ~ (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))), 8.53/8.75 inference('sup-', [status(thm)], ['96', '99'])). 8.53/8.75 tff('101', plain, 8.53/8.75 ![X2, X3]: 8.53/8.75 ( g_false_only(X2, X3) | g_both(X2, X3) | g_true_only(X2, X3)), 8.53/8.75 inference('cnf', [status(esa)], [exhaustion_g])). 8.53/8.75 tff('102', plain, 8.53/8.75 ![X0, X1]: 8.53/8.75 ( h_both(X0, X1) | h_false_only(X0, X1) | h_true_only(X0, X1)), 8.53/8.75 inference('cnf', [status(esa)], [exhaustion_h])). 8.53/8.75 tff('103', plain, 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('split', [status(esa)], ['68'])). 8.53/8.75 tff('104', plain, 8.53/8.75 (![X0, X1, X2, X3]: 8.53/8.75 ( h_true_only(X1, X0) 8.53/8.75 | h_false_only(X1, X0) 8.53/8.75 | h_false_only(X1, X2) 8.53/8.75 | g_false_only(X1, X3) 8.53/8.75 | h_true_only(X1, sk_C_1(X1)) 8.53/8.75 | ~ g_both(X1, X3) 8.53/8.75 | g_true_only(X1, sk_B_10(X1)))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('sup-', [status(thm)], ['102', '103'])). 8.53/8.75 tff('105', plain, 8.53/8.75 (![X0, X1, X2, X3]: 8.53/8.75 ( g_true_only(X1, X0) 8.53/8.75 | g_false_only(X1, X0) 8.53/8.75 | g_true_only(X1, sk_B_10(X1)) 8.53/8.75 | h_true_only(X1, sk_C_1(X1)) 8.53/8.75 | g_false_only(X1, X0) 8.53/8.75 | h_false_only(X1, X2) 8.53/8.75 | h_false_only(X1, X3) 8.53/8.75 | h_true_only(X1, X3))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('sup-', [status(thm)], ['101', '104'])). 8.53/8.75 tff('106', plain, 8.53/8.75 (![X0, X1, X2, X3]: 8.53/8.75 ( h_true_only(X1, X3) 8.53/8.75 | h_false_only(X1, X3) 8.53/8.75 | h_false_only(X1, X2) 8.53/8.75 | h_true_only(X1, sk_C_1(X1)) 8.53/8.75 | g_true_only(X1, sk_B_10(X1)) 8.53/8.75 | g_false_only(X1, X0) 8.53/8.75 | g_true_only(X1, X0))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('simplify', [status(thm)], ['105'])). 8.53/8.75 tff('107', plain, 8.53/8.75 (![X0, X1, X2]: 8.53/8.75 ( g_true_only(X1, X2) 8.53/8.75 | g_false_only(X1, X2) 8.53/8.75 | g_true_only(X1, sk_B_10(X1)) 8.53/8.75 | h_true_only(X1, sk_C_1(X1)) 8.53/8.75 | h_false_only(X1, X0) 8.53/8.75 | h_true_only(X1, X0))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('eq_fact', [status(thm)], ['106'])). 8.53/8.75 tff('108', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_true_only(X0, X1) 8.53/8.75 | h_false_only(X0, X1) 8.53/8.75 | h_true_only(X0, sk_C_1(X0)) 8.53/8.75 | g_true_only(X0, sk_B_10(X0)) 8.53/8.75 | g_false_only(X0, sk_B_10(X0)))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('eq_fact', [status(thm)], ['107'])). 8.53/8.75 tff('109', plain, 8.53/8.75 (![X0, X1, X2]: 8.53/8.75 ( h_true_only(X1, X0) 8.53/8.75 | h_false_only(X1, X0) 8.53/8.75 | h_true_only(X1, sk_B(X1)) 8.53/8.75 | g_false(X1, X2))) 8.53/8.75 <= ((![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['72', '75'])). 8.53/8.75 tff('110', plain, 8.53/8.75 ![X22]: (~ g_false_only(sk_A_2, sk_B_11) | ~ h_true_only(sk_A_3, X22)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('111', plain, 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.75 inference('split', [status(esa)], ['110'])). 8.53/8.75 tff('112', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( g_false(sk_A_3, X0) 8.53/8.75 | h_false_only(sk_A_3, X1) 8.53/8.75 | h_true_only(sk_A_3, X1))) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['109', '111'])). 8.53/8.75 tff('113', plain, 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.75 inference('split', [status(esa)], ['110'])). 8.53/8.75 tff('114', plain, 8.53/8.75 (![X0, X1]: ( h_false_only(sk_A_3, X1) | g_false(sk_A_3, X0))) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('clc', [status(thm)], ['112', '113'])). 8.53/8.75 tff('115', plain, 8.53/8.75 (![X0, X1]: ( g_false(X0, X1) | ~ h_false_only(X0, sk_B_1(X0)))) 8.53/8.75 <= ((![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['81', '82'])). 8.53/8.75 tff('116', plain, 8.53/8.75 (![X0, X1]: ( g_false(sk_A_3, X1) | g_false(sk_A_3, X0))) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['114', '115'])). 8.53/8.75 tff('117', plain, 8.53/8.75 (![X0]: g_false(sk_A_3, X0)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('condensation', [status(thm)], ['116'])). 8.53/8.75 tff('118', plain, ![X7, X9]: (~ g_false(X7, X9) | ~ g_true_only(X7, X9)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_g])). 8.53/8.75 tff('119', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_3, X0)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['117', '118'])). 8.53/8.75 tff('120', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( g_false_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.75 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.75 | h_false_only(sk_A_3, X0) 8.53/8.75 | h_true_only(sk_A_3, X0))) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['108', '119'])). 8.53/8.75 tff('121', plain, 8.53/8.75 (![X0]: g_false(sk_A_3, X0)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('condensation', [status(thm)], ['116'])). 8.53/8.75 tff('122', plain, 8.53/8.75 ![X2, X3]: 8.53/8.75 ( g_false_only(X2, X3) | g_both(X2, X3) | g_true_only(X2, X3)), 8.53/8.75 inference('cnf', [status(esa)], [exhaustion_g])). 8.53/8.75 tff('123', plain, ![X16, X17]: ( g_true(X16, X17) | ~ g_both(X16, X17)), 8.53/8.75 inference('cnf', [status(esa)], [both_g])). 8.53/8.75 tff('124', plain, 8.53/8.75 ![X0, X1]: 8.53/8.75 ( g_true_only(X1, X0) | g_false_only(X1, X0) | g_true(X1, X0)), 8.53/8.75 inference('sup-', [status(thm)], ['122', '123'])). 8.53/8.75 tff('125', plain, ![X7, X9]: ( g_true(X7, X9) | ~ g_true_only(X7, X9)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_g])). 8.53/8.75 tff('126', plain, ![X0, X1]: ( g_true(X1, X0) | g_false_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['124', '125'])). 8.53/8.75 tff('127', plain, 8.53/8.75 (~ g_false_only(sk_A_2, sk_B_11) | ~ g_false_only(sk_A_3, sk_B_12)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('128', plain, 8.53/8.75 (~ g_false_only(sk_A_3, sk_B_12)) <= (~ ( g_false_only(sk_A_3, sk_B_12))), 8.53/8.75 inference('split', [status(esa)], ['127'])). 8.53/8.75 tff('129', plain, 8.53/8.75 ( g_true(sk_A_3, sk_B_12)) <= (~ ( g_false_only(sk_A_3, sk_B_12))), 8.53/8.75 inference('sup-', [status(thm)], ['126', '128'])). 8.53/8.75 tff('130', plain, 8.53/8.75 ![X16, X18]: 8.53/8.75 ( g_both(X16, X18) | ~ g_true(X16, X18) | ~ g_false(X16, X18)), 8.53/8.75 inference('cnf', [status(esa)], [both_g])). 8.53/8.75 tff('131', plain, 8.53/8.75 ((~ g_false(sk_A_3, sk_B_12) | g_both(sk_A_3, sk_B_12))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12))), 8.53/8.75 inference('sup-', [status(thm)], ['129', '130'])). 8.53/8.75 tff('132', plain, 8.53/8.75 ( g_both(sk_A_3, sk_B_12)) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['121', '131'])). 8.53/8.75 tff('133', plain, 8.53/8.75 ( g_both(sk_A_3, sk_B_12)) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['121', '131'])). 8.53/8.75 tff('134', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_true(X0, sk_B_3(X0)) 8.53/8.75 | ~ g_both(X0, X1) 8.53/8.75 | g_true_only(X0, sk_B_2(X0)))) 8.53/8.75 <= ((![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['27', '28'])). 8.53/8.75 tff('135', plain, 8.53/8.75 (( g_true_only(sk_A_3, sk_B_2(sk_A_3)) | h_true(sk_A_3, sk_B_3(sk_A_3)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['133', '134'])). 8.53/8.75 tff('136', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_3, X0)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['117', '118'])). 8.53/8.75 tff('137', plain, 8.53/8.75 ( h_true(sk_A_3, sk_B_3(sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['135', '136'])). 8.53/8.75 tff('138', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('139', plain, 8.53/8.75 ((~ h_false(sk_A_3, sk_B_3(sk_A_3)) | h_both(sk_A_3, sk_B_3(sk_A_3)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['137', '138'])). 8.53/8.75 tff('140', plain, ![X0, X1]: ( h_false(X1, X0) | h_true_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['20', '21'])). 8.53/8.75 tff('141', plain, 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.75 inference('split', [status(esa)], ['110'])). 8.53/8.75 tff('142', plain, 8.53/8.75 (![X0]: h_false(sk_A_3, X0)) <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.75 inference('sup-', [status(thm)], ['140', '141'])). 8.53/8.75 tff('143', plain, 8.53/8.75 ( h_both(sk_A_3, sk_B_3(sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('demod', [status(thm)], ['139', '142'])). 8.53/8.75 tff('144', plain, 8.53/8.75 ![X24, X25, X26, X27, X28, X29, X30, X31]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('145', plain, 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) 8.53/8.75 <= ((![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)))), 8.53/8.75 inference('split', [status(esa)], ['144'])). 8.53/8.75 tff('146', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( g_false_only(sk_A_3, X0) 8.53/8.75 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.75 | ~ g_both(sk_A_3, X0) 8.53/8.75 | g_true_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.75 | g_both(sk_A_3, sk_B_10(sk_A_3)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['143', '145'])). 8.53/8.75 tff('147', plain, 8.53/8.75 (( g_both(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.75 | g_true_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.75 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.75 | g_false_only(sk_A_3, sk_B_12))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['132', '146'])). 8.53/8.75 tff('148', plain, ![X16, X17]: ( g_true(X16, X17) | ~ g_both(X16, X17)), 8.53/8.75 inference('cnf', [status(esa)], [both_g])). 8.53/8.75 tff('149', plain, 8.53/8.75 (( g_false_only(sk_A_3, sk_B_12) 8.53/8.75 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.75 | g_true_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.75 | g_true(sk_A_3, sk_B_10(sk_A_3)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['147', '148'])). 8.53/8.75 tff('150', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_3, X0)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['117', '118'])). 8.53/8.75 tff('151', plain, 8.53/8.75 (( g_true(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.75 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.75 | g_false_only(sk_A_3, sk_B_12))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['149', '150'])). 8.53/8.75 tff('152', plain, 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.75 inference('split', [status(esa)], ['110'])). 8.53/8.75 tff('153', plain, 8.53/8.75 (( g_false_only(sk_A_3, sk_B_12) | g_true(sk_A_3, sk_B_10(sk_A_3)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['151', '152'])). 8.53/8.75 tff('154', plain, 8.53/8.75 (~ g_false_only(sk_A_3, sk_B_12)) <= (~ ( g_false_only(sk_A_3, sk_B_12))), 8.53/8.75 inference('split', [status(esa)], ['127'])). 8.53/8.75 tff('155', plain, 8.53/8.75 ( g_true(sk_A_3, sk_B_10(sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['153', '154'])). 8.53/8.75 tff('156', plain, 8.53/8.75 ![X10, X12]: (~ g_true(X10, X12) | ~ g_false_only(X10, X12)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_g])). 8.53/8.75 tff('157', plain, 8.53/8.75 (~ g_false_only(sk_A_3, sk_B_10(sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['155', '156'])). 8.53/8.75 tff('158', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_true_only(sk_A_3, X0) 8.53/8.75 | h_false_only(sk_A_3, X0) 8.53/8.75 | h_true_only(sk_A_3, sk_C_1(sk_A_3)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['120', '157'])). 8.53/8.75 tff('159', plain, 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.75 inference('split', [status(esa)], ['110'])). 8.53/8.75 tff('160', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_true_only(sk_A_3, sk_C_1(sk_A_3)) | h_false_only(sk_A_3, X0))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['158', '159'])). 8.53/8.75 tff('161', plain, 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.75 inference('split', [status(esa)], ['110'])). 8.53/8.75 tff('162', plain, 8.53/8.75 (![X0]: h_false_only(sk_A_3, X0)) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['160', '161'])). 8.53/8.75 tff('163', plain, 8.53/8.75 ( h_true(sk_A_3, sk_B_3(sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['135', '136'])). 8.53/8.75 tff('164', plain, ![X4, X6]: (~ h_true(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('165', plain, 8.53/8.75 (~ h_false_only(sk_A_3, sk_B_3(sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['163', '164'])). 8.53/8.75 tff('166', plain, 8.53/8.75 ~ (![X22]: ~ h_true_only(sk_A_3, X22)) | 8.53/8.75 ~ 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) | 8.53/8.75 ~ 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 ~ 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) | 8.53/8.75 ( g_false_only(sk_A_3, sk_B_12)), 8.53/8.75 inference('sup-', [status(thm)], ['162', '165'])). 8.53/8.75 tff('167', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_true_only(X0, X1) 8.53/8.75 | h_false_only(X0, X1) 8.53/8.75 | h_true_only(X0, sk_C_1(X0)) 8.53/8.75 | g_true_only(X0, sk_B_10(X0)) 8.53/8.75 | g_false_only(X0, sk_B_10(X0)))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('eq_fact', [status(thm)], ['107'])). 8.53/8.75 tff('168', plain, 8.53/8.75 (![X0, X1, X2]: 8.53/8.75 ( h_true_only(X1, X0) 8.53/8.75 | h_false_only(X1, X0) 8.53/8.75 | h_true_only(X1, sk_B(X1)) 8.53/8.75 | g_false(X1, X2))) 8.53/8.75 <= ((![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['72', '75'])). 8.53/8.75 tff('169', plain, 8.53/8.75 ![X23]: (~ h_true_only(sk_A_2, X23) | ~ g_false_only(sk_A_3, sk_B_12)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('170', plain, 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('split', [status(esa)], ['169'])). 8.53/8.75 tff('171', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( g_false(sk_A_2, X0) 8.53/8.75 | h_false_only(sk_A_2, X1) 8.53/8.75 | h_true_only(sk_A_2, X1))) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['168', '170'])). 8.53/8.75 tff('172', plain, 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('split', [status(esa)], ['169'])). 8.53/8.75 tff('173', plain, 8.53/8.75 (![X0, X1]: ( h_false_only(sk_A_2, X1) | g_false(sk_A_2, X0))) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('clc', [status(thm)], ['171', '172'])). 8.53/8.75 tff('174', plain, 8.53/8.75 (![X0, X1]: ( g_false(X0, X1) | ~ h_false_only(X0, sk_B_1(X0)))) 8.53/8.75 <= ((![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['81', '82'])). 8.53/8.75 tff('175', plain, 8.53/8.75 (![X0, X1]: ( g_false(sk_A_2, X1) | g_false(sk_A_2, X0))) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['173', '174'])). 8.53/8.75 tff('176', plain, 8.53/8.75 (![X0]: g_false(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('condensation', [status(thm)], ['175'])). 8.53/8.75 tff('177', plain, ![X7, X9]: (~ g_false(X7, X9) | ~ g_true_only(X7, X9)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_g])). 8.53/8.75 tff('178', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['176', '177'])). 8.53/8.75 tff('179', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( g_false_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.75 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.75 | h_false_only(sk_A_2, X0) 8.53/8.75 | h_true_only(sk_A_2, X0))) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['167', '178'])). 8.53/8.75 tff('180', plain, 8.53/8.75 (![X0]: g_false(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('condensation', [status(thm)], ['175'])). 8.53/8.75 tff('181', plain, ![X0, X1]: ( g_true(X1, X0) | g_false_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['124', '125'])). 8.53/8.75 tff('182', plain, 8.53/8.75 (~ g_false_only(sk_A_2, sk_B_11)) <= (~ ( g_false_only(sk_A_2, sk_B_11))), 8.53/8.75 inference('split', [status(esa)], ['127'])). 8.53/8.75 tff('183', plain, 8.53/8.75 ( g_true(sk_A_2, sk_B_11)) <= (~ ( g_false_only(sk_A_2, sk_B_11))), 8.53/8.75 inference('sup-', [status(thm)], ['181', '182'])). 8.53/8.75 tff('184', plain, 8.53/8.75 ![X16, X18]: 8.53/8.75 ( g_both(X16, X18) | ~ g_true(X16, X18) | ~ g_false(X16, X18)), 8.53/8.75 inference('cnf', [status(esa)], [both_g])). 8.53/8.75 tff('185', plain, 8.53/8.75 ((~ g_false(sk_A_2, sk_B_11) | g_both(sk_A_2, sk_B_11))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11))), 8.53/8.75 inference('sup-', [status(thm)], ['183', '184'])). 8.53/8.75 tff('186', plain, 8.53/8.75 ( g_both(sk_A_2, sk_B_11)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['180', '185'])). 8.53/8.75 tff('187', plain, 8.53/8.75 ( g_both(sk_A_2, sk_B_11)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['180', '185'])). 8.53/8.75 tff('188', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_true(X0, sk_B_3(X0)) 8.53/8.75 | ~ g_both(X0, X1) 8.53/8.75 | g_true_only(X0, sk_B_2(X0)))) 8.53/8.75 <= ((![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['27', '28'])). 8.53/8.75 tff('189', plain, 8.53/8.75 (( g_true_only(sk_A_2, sk_B_2(sk_A_2)) | h_true(sk_A_2, sk_B_3(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['187', '188'])). 8.53/8.75 tff('190', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['176', '177'])). 8.53/8.75 tff('191', plain, 8.53/8.75 ( h_true(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['189', '190'])). 8.53/8.75 tff('192', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('193', plain, 8.53/8.75 ((~ h_false(sk_A_2, sk_B_3(sk_A_2)) | h_both(sk_A_2, sk_B_3(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['191', '192'])). 8.53/8.75 tff('194', plain, ![X0, X1]: ( h_false(X1, X0) | h_true_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['20', '21'])). 8.53/8.75 tff('195', plain, 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('split', [status(esa)], ['169'])). 8.53/8.75 tff('196', plain, 8.53/8.75 (![X0]: h_false(sk_A_2, X0)) <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('sup-', [status(thm)], ['194', '195'])). 8.53/8.75 tff('197', plain, 8.53/8.75 ( h_both(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('demod', [status(thm)], ['193', '196'])). 8.53/8.75 tff('198', plain, 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) 8.53/8.75 <= ((![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)))), 8.53/8.75 inference('split', [status(esa)], ['144'])). 8.53/8.75 tff('199', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( g_false_only(sk_A_2, X0) 8.53/8.75 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.75 | ~ g_both(sk_A_2, X0) 8.53/8.75 | g_true_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.75 | g_both(sk_A_2, sk_B_10(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['197', '198'])). 8.53/8.75 tff('200', plain, 8.53/8.75 (( g_both(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.75 | g_true_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.75 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.75 | g_false_only(sk_A_2, sk_B_11))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['186', '199'])). 8.53/8.75 tff('201', plain, ![X16, X17]: ( g_true(X16, X17) | ~ g_both(X16, X17)), 8.53/8.75 inference('cnf', [status(esa)], [both_g])). 8.53/8.75 tff('202', plain, 8.53/8.75 (( g_false_only(sk_A_2, sk_B_11) 8.53/8.75 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.75 | g_true_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.75 | g_true(sk_A_2, sk_B_10(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['200', '201'])). 8.53/8.75 tff('203', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['176', '177'])). 8.53/8.75 tff('204', plain, 8.53/8.75 (( g_true(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.75 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.75 | g_false_only(sk_A_2, sk_B_11))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['202', '203'])). 8.53/8.75 tff('205', plain, 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('split', [status(esa)], ['169'])). 8.53/8.75 tff('206', plain, 8.53/8.75 (( g_false_only(sk_A_2, sk_B_11) | g_true(sk_A_2, sk_B_10(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['204', '205'])). 8.53/8.75 tff('207', plain, 8.53/8.75 (~ g_false_only(sk_A_2, sk_B_11)) <= (~ ( g_false_only(sk_A_2, sk_B_11))), 8.53/8.75 inference('split', [status(esa)], ['127'])). 8.53/8.75 tff('208', plain, 8.53/8.75 ( g_true(sk_A_2, sk_B_10(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['206', '207'])). 8.53/8.75 tff('209', plain, 8.53/8.75 ![X10, X12]: (~ g_true(X10, X12) | ~ g_false_only(X10, X12)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_g])). 8.53/8.75 tff('210', plain, 8.53/8.75 (~ g_false_only(sk_A_2, sk_B_10(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['208', '209'])). 8.53/8.75 tff('211', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_true_only(sk_A_2, X0) 8.53/8.75 | h_false_only(sk_A_2, X0) 8.53/8.75 | h_true_only(sk_A_2, sk_C_1(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['179', '210'])). 8.53/8.75 tff('212', plain, 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('split', [status(esa)], ['169'])). 8.53/8.75 tff('213', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_true_only(sk_A_2, sk_C_1(sk_A_2)) | h_false_only(sk_A_2, X0))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['211', '212'])). 8.53/8.75 tff('214', plain, 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('split', [status(esa)], ['169'])). 8.53/8.75 tff('215', plain, 8.53/8.75 (![X0]: h_false_only(sk_A_2, X0)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['213', '214'])). 8.53/8.75 tff('216', plain, 8.53/8.75 ( h_true(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['189', '190'])). 8.53/8.75 tff('217', plain, ![X4, X6]: (~ h_true(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('218', plain, 8.53/8.75 (~ h_false_only(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['216', '217'])). 8.53/8.75 tff('219', plain, 8.53/8.75 ( g_false_only(sk_A_2, sk_B_11)) | 8.53/8.75 ~ (![X23]: ~ h_true_only(sk_A_2, X23)) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) | 8.53/8.75 ~ 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 ~ 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) | 8.53/8.75 ~ 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))), 8.53/8.75 inference('sup-', [status(thm)], ['215', '218'])). 8.53/8.75 tff('220', plain, 8.53/8.75 ![X24, X25, X26, X29, X30, X31, X33]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | h_false_only(sk_A, X33) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | g_both(sk_A_1, sk_B_9) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('221', plain, 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) | ( g_true_only(sk_A_1, sk_B_9)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) | ( g_true_only(sk_A, sk_B_7)) | 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))), 8.53/8.75 inference('split', [status(esa)], ['220'])). 8.53/8.75 tff('222', plain, 8.53/8.75 ![X24, X25, X26, X27, X28, X29, X30, X31]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('223', plain, 8.53/8.75 ( g_true_only(sk_A, sk_B_7)) <= (( g_true_only(sk_A, sk_B_7))), 8.53/8.75 inference('split', [status(esa)], ['222'])). 8.53/8.75 tff('224', plain, 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) 8.53/8.75 <= ((![X33]: h_false_only(sk_A, X33))), 8.53/8.75 inference('split', [status(esa)], ['4'])). 8.53/8.75 tff('225', plain, 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) 8.53/8.75 <= ((![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('split', [status(esa)], ['44'])). 8.53/8.75 tff('226', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A, X0)) 8.53/8.75 <= ((![X33]: h_false_only(sk_A, X33)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['224', '225'])). 8.53/8.75 tff('227', plain, 8.53/8.75 ~ (![X33]: h_false_only(sk_A, X33)) | ~ ( g_true_only(sk_A, sk_B_7)) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))), 8.53/8.75 inference('sup-', [status(thm)], ['223', '226'])). 8.53/8.75 tff('228', plain, ![X0, X1]: ( h_false(X1, X0) | h_true_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['20', '21'])). 8.53/8.75 tff('229', plain, 8.53/8.75 ![X24, X25, X26, X27, X28, X29, X30, X31, X34, X35]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | h_false_only(sk_A, X34) 8.53/8.75 | ~ h_true_only(sk_A, X35) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('230', plain, 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)) 8.53/8.75 <= ((![X35]: ~ h_true_only(sk_A, X35))), 8.53/8.75 inference('split', [status(esa)], ['229'])). 8.53/8.75 tff('231', plain, 8.53/8.75 (![X0]: h_false(sk_A, X0)) <= ((![X35]: ~ h_true_only(sk_A, X35))), 8.53/8.75 inference('sup-', [status(thm)], ['228', '230'])). 8.53/8.75 tff('232', plain, 8.53/8.75 ( g_true_only(sk_A, sk_B_7)) <= (( g_true_only(sk_A, sk_B_7))), 8.53/8.75 inference('split', [status(esa)], ['222'])). 8.53/8.75 tff('233', plain, 8.53/8.75 (![X0, X1]: ( h_true(X0, sk_B_1(X0)) | ~ g_true_only(X0, X1))) 8.53/8.75 <= ((![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['43', '45'])). 8.53/8.75 tff('234', plain, 8.53/8.75 ( h_true(sk_A, sk_B_1(sk_A))) 8.53/8.75 <= (( g_true_only(sk_A, sk_B_7)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['232', '233'])). 8.53/8.75 tff('235', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('236', plain, 8.53/8.75 ((~ h_false(sk_A, sk_B_1(sk_A)) | h_both(sk_A, sk_B_1(sk_A)))) 8.53/8.75 <= (( g_true_only(sk_A, sk_B_7)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['234', '235'])). 8.53/8.75 tff('237', plain, 8.53/8.75 ( h_both(sk_A, sk_B_1(sk_A))) 8.53/8.75 <= (( g_true_only(sk_A, sk_B_7)) & 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.75 inference('sup-', [status(thm)], ['231', '236'])). 8.53/8.75 tff('238', plain, 8.53/8.75 ( g_true_only(sk_A, sk_B_7)) <= (( g_true_only(sk_A, sk_B_7))), 8.53/8.75 inference('split', [status(esa)], ['222'])). 8.53/8.75 tff('239', plain, 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) 8.53/8.75 <= ((![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('split', [status(esa)], ['55'])). 8.53/8.75 tff('240', plain, 8.53/8.75 (![X0]: (~ h_both(sk_A, X0) | h_true_only(sk_A, sk_B(sk_A)))) 8.53/8.75 <= (( g_true_only(sk_A, sk_B_7)) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['238', '239'])). 8.53/8.75 tff('241', plain, 8.53/8.75 ( h_true_only(sk_A, sk_B(sk_A))) 8.53/8.75 <= (( g_true_only(sk_A, sk_B_7)) & 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['237', '240'])). 8.53/8.75 tff('242', plain, 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)) 8.53/8.75 <= ((![X35]: ~ h_true_only(sk_A, X35))), 8.53/8.75 inference('split', [status(esa)], ['229'])). 8.53/8.75 tff('243', plain, 8.53/8.75 ~ (![X35]: ~ h_true_only(sk_A, X35)) | ~ ( g_true_only(sk_A, sk_B_7)) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))), 8.53/8.75 inference('sup-', [status(thm)], ['241', '242'])). 8.53/8.75 tff('244', plain, 8.53/8.75 ![X24, X25, X26, X27, X28, X29, X30, X31, X32, X34, X35]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | h_false_only(sk_A, X34) 8.53/8.75 | ~ h_true_only(sk_A, X35) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(X29, X32) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('245', plain, 8.53/8.75 (![X28]: h_false_only(sk_A_1, X28)) | 8.53/8.75 (![X27]: ~ g_true_only(sk_A, X27)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 ( g_true_only(sk_A_1, sk_B_9)) | (![X33]: h_false_only(sk_A, X33)) | 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)), 8.53/8.75 inference('split', [status(esa)], ['244'])). 8.53/8.75 tff('246', plain, 8.53/8.75 ![X24, X25, X26, X27, X29, X30, X31, X32, X34, X35]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | h_false_only(sk_A, X34) 8.53/8.75 | ~ h_true_only(sk_A, X35) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | g_both(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(X29, X32) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('247', plain, 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) | ( g_true_only(sk_A_1, sk_B_9)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) | 8.53/8.75 (![X27]: ~ g_true_only(sk_A, X27)) | (![X35]: ~ h_true_only(sk_A, X35)), 8.53/8.75 inference('split', [status(esa)], ['246'])). 8.53/8.75 tff('248', plain, ( g_both(sk_A_1, sk_B_9)) <= (( g_both(sk_A_1, sk_B_9))), 8.53/8.75 inference('split', [status(esa)], ['15'])). 8.53/8.75 tff('249', plain, 8.53/8.75 (![X28]: h_false_only(sk_A_1, X28)) 8.53/8.75 <= ((![X28]: h_false_only(sk_A_1, X28))), 8.53/8.75 inference('split', [status(esa)], ['222'])). 8.53/8.75 tff('250', plain, 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) 8.53/8.75 <= ((![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('split', [status(esa)], ['6'])). 8.53/8.75 tff('251', plain, 8.53/8.75 (![X0]: (~ g_both(sk_A_1, X0) | g_true_only(sk_A_1, sk_B_2(sk_A_1)))) 8.53/8.75 <= ((![X28]: h_false_only(sk_A_1, X28)) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['249', '250'])). 8.53/8.75 tff('252', plain, 8.53/8.75 ( g_true_only(sk_A_1, sk_B_2(sk_A_1))) 8.53/8.75 <= ((![X28]: h_false_only(sk_A_1, X28)) & 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['248', '251'])). 8.53/8.75 tff('253', plain, 8.53/8.75 (![X28]: h_false_only(sk_A_1, X28)) 8.53/8.75 <= ((![X28]: h_false_only(sk_A_1, X28))), 8.53/8.75 inference('split', [status(esa)], ['222'])). 8.53/8.75 tff('254', plain, 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('split', [status(esa)], ['11'])). 8.53/8.75 tff('255', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: h_false_only(sk_A_1, X28)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['253', '254'])). 8.53/8.75 tff('256', plain, 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.75 ~ ( g_both(sk_A_1, sk_B_9)) | ~ (![X28]: h_false_only(sk_A_1, X28)) | 8.53/8.75 ~ 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))), 8.53/8.75 inference('sup-', [status(thm)], ['252', '255'])). 8.53/8.75 tff('257', plain, ![X0, X1]: ( g_false(X1, X0) | g_true_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['40', '41'])). 8.53/8.75 tff('258', plain, 8.53/8.75 (![X0]: h_false(sk_A_3, X0)) <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.75 inference('sup-', [status(thm)], ['140', '141'])). 8.53/8.75 tff('259', plain, ![X0, X1]: ( g_false(X1, X0) | g_true_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['40', '41'])). 8.53/8.75 tff('260', plain, ![X0, X1]: ( h_false_only(X1, X0) | h_true(X1, X0)), 8.53/8.75 inference('simplify', [status(thm)], ['26'])). 8.53/8.75 tff('261', plain, 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('split', [status(esa)], ['11'])). 8.53/8.75 tff('262', plain, 8.53/8.75 (![X0, X1]: ( h_true(X0, sk_C(X1, X0)) | ~ g_true_only(X0, X1))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['260', '261'])). 8.53/8.75 tff('263', plain, 8.53/8.75 (![X0, X1]: ( g_false(X1, X0) | h_true(X1, sk_C(X0, X1)))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['259', '262'])). 8.53/8.75 tff('264', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('265', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( g_false(X0, X1) 8.53/8.75 | ~ h_false(X0, sk_C(X1, X0)) 8.53/8.75 | h_both(X0, sk_C(X1, X0)))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['263', '264'])). 8.53/8.75 tff('266', plain, 8.53/8.75 (![X0]: ( h_both(sk_A_3, sk_C(X0, sk_A_3)) | g_false(sk_A_3, X0))) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['258', '265'])). 8.53/8.75 tff('267', plain, 8.53/8.75 ![X36, X37, X38, X39]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) 8.53/8.75 | ~ g_true_only(X36, X37) 8.53/8.75 | ~ h_both(X38, sk_C(X39, X38)) 8.53/8.75 | ~ g_true_only(X38, X39)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('268', plain, 8.53/8.75 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('split', [status(esa)], ['267'])). 8.53/8.75 tff('269', plain, 8.53/8.75 (![X0]: ( g_false(sk_A_3, X0) | ~ g_true_only(sk_A_3, X0))) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['266', '268'])). 8.53/8.75 tff('270', plain, ![X7, X9]: (~ g_false(X7, X9) | ~ g_true_only(X7, X9)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_g])). 8.53/8.75 tff('271', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_3, X0)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['269', '270'])). 8.53/8.75 tff('272', plain, 8.53/8.75 (![X0]: g_false(sk_A_3, X0)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['257', '271'])). 8.53/8.75 tff('273', plain, 8.53/8.75 ((~ g_false(sk_A_3, sk_B_12) | g_both(sk_A_3, sk_B_12))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12))), 8.53/8.75 inference('sup-', [status(thm)], ['129', '130'])). 8.53/8.75 tff('274', plain, 8.53/8.75 ( g_both(sk_A_3, sk_B_12)) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['272', '273'])). 8.53/8.75 tff('275', plain, 8.53/8.75 ( g_both(sk_A_3, sk_B_12)) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['272', '273'])). 8.53/8.75 tff('276', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_true(X0, sk_B_3(X0)) 8.53/8.75 | ~ g_both(X0, X1) 8.53/8.75 | g_true_only(X0, sk_B_2(X0)))) 8.53/8.75 <= ((![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['27', '28'])). 8.53/8.75 tff('277', plain, 8.53/8.75 (( g_true_only(sk_A_3, sk_B_2(sk_A_3)) | h_true(sk_A_3, sk_B_3(sk_A_3)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['275', '276'])). 8.53/8.75 tff('278', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_3, X0)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['269', '270'])). 8.53/8.75 tff('279', plain, 8.53/8.75 ( h_true(sk_A_3, sk_B_3(sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['277', '278'])). 8.53/8.75 tff('280', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('281', plain, 8.53/8.75 ((~ h_false(sk_A_3, sk_B_3(sk_A_3)) | h_both(sk_A_3, sk_B_3(sk_A_3)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['279', '280'])). 8.53/8.75 tff('282', plain, 8.53/8.75 (![X0]: h_false(sk_A_3, X0)) <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.75 inference('sup-', [status(thm)], ['140', '141'])). 8.53/8.75 tff('283', plain, 8.53/8.75 ( h_both(sk_A_3, sk_B_3(sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('demod', [status(thm)], ['281', '282'])). 8.53/8.75 tff('284', plain, 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('split', [status(esa)], ['68'])). 8.53/8.75 tff('285', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_false_only(sk_A_3, X0) 8.53/8.75 | g_false_only(sk_A_3, X1) 8.53/8.75 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.75 | ~ g_both(sk_A_3, X1) 8.53/8.75 | g_true_only(sk_A_3, sk_B_10(sk_A_3)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['283', '284'])). 8.53/8.75 tff('286', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( g_true_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.75 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.75 | g_false_only(sk_A_3, sk_B_12) 8.53/8.75 | h_false_only(sk_A_3, X0))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['274', '285'])). 8.53/8.75 tff('287', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_3, X0)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['269', '270'])). 8.53/8.75 tff('288', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_false_only(sk_A_3, X0) 8.53/8.75 | g_false_only(sk_A_3, sk_B_12) 8.53/8.75 | h_true_only(sk_A_3, sk_C_1(sk_A_3)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['286', '287'])). 8.53/8.75 tff('289', plain, 8.53/8.75 (~ g_false_only(sk_A_3, sk_B_12)) <= (~ ( g_false_only(sk_A_3, sk_B_12))), 8.53/8.75 inference('split', [status(esa)], ['127'])). 8.53/8.75 tff('290', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_true_only(sk_A_3, sk_C_1(sk_A_3)) | h_false_only(sk_A_3, X0))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['288', '289'])). 8.53/8.75 tff('291', plain, 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.75 inference('split', [status(esa)], ['110'])). 8.53/8.75 tff('292', plain, 8.53/8.75 (![X0]: h_false_only(sk_A_3, X0)) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['290', '291'])). 8.53/8.75 tff('293', plain, 8.53/8.75 ( h_true(sk_A_3, sk_B_3(sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['277', '278'])). 8.53/8.75 tff('294', plain, ![X4, X6]: (~ h_true(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('295', plain, 8.53/8.75 (~ h_false_only(sk_A_3, sk_B_3(sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['293', '294'])). 8.53/8.75 tff('296', plain, 8.53/8.75 ~ (![X22]: ~ h_true_only(sk_A_3, X22)) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.75 ~ 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 ~ 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) | 8.53/8.75 ( g_false_only(sk_A_3, sk_B_12)), 8.53/8.75 inference('sup-', [status(thm)], ['292', '295'])). 8.53/8.75 tff('297', plain, ![X0, X1]: ( g_false(X1, X0) | g_true_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['40', '41'])). 8.53/8.75 tff('298', plain, 8.53/8.75 (![X0]: h_false(sk_A_2, X0)) <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('sup-', [status(thm)], ['194', '195'])). 8.53/8.75 tff('299', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( g_false(X0, X1) 8.53/8.75 | ~ h_false(X0, sk_C(X1, X0)) 8.53/8.75 | h_both(X0, sk_C(X1, X0)))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['263', '264'])). 8.53/8.75 tff('300', plain, 8.53/8.75 (![X0]: ( h_both(sk_A_2, sk_C(X0, sk_A_2)) | g_false(sk_A_2, X0))) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['298', '299'])). 8.53/8.75 tff('301', plain, 8.53/8.75 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('split', [status(esa)], ['267'])). 8.53/8.75 tff('302', plain, 8.53/8.75 (![X0]: ( g_false(sk_A_2, X0) | ~ g_true_only(sk_A_2, X0))) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['300', '301'])). 8.53/8.75 tff('303', plain, ![X7, X9]: (~ g_false(X7, X9) | ~ g_true_only(X7, X9)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_g])). 8.53/8.75 tff('304', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['302', '303'])). 8.53/8.75 tff('305', plain, 8.53/8.75 (![X0]: g_false(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['297', '304'])). 8.53/8.75 tff('306', plain, 8.53/8.75 ((~ g_false(sk_A_2, sk_B_11) | g_both(sk_A_2, sk_B_11))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11))), 8.53/8.75 inference('sup-', [status(thm)], ['183', '184'])). 8.53/8.75 tff('307', plain, 8.53/8.75 ( g_both(sk_A_2, sk_B_11)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['305', '306'])). 8.53/8.75 tff('308', plain, 8.53/8.75 ( g_both(sk_A_2, sk_B_11)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['305', '306'])). 8.53/8.75 tff('309', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_true(X0, sk_B_3(X0)) 8.53/8.75 | ~ g_both(X0, X1) 8.53/8.75 | g_true_only(X0, sk_B_2(X0)))) 8.53/8.75 <= ((![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['27', '28'])). 8.53/8.75 tff('310', plain, 8.53/8.75 (( g_true_only(sk_A_2, sk_B_2(sk_A_2)) | h_true(sk_A_2, sk_B_3(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['308', '309'])). 8.53/8.75 tff('311', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['302', '303'])). 8.53/8.75 tff('312', plain, 8.53/8.75 ( h_true(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['310', '311'])). 8.53/8.75 tff('313', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('314', plain, 8.53/8.75 ((~ h_false(sk_A_2, sk_B_3(sk_A_2)) | h_both(sk_A_2, sk_B_3(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['312', '313'])). 8.53/8.75 tff('315', plain, 8.53/8.75 (![X0]: h_false(sk_A_2, X0)) <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('sup-', [status(thm)], ['194', '195'])). 8.53/8.75 tff('316', plain, 8.53/8.75 ( h_both(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('demod', [status(thm)], ['314', '315'])). 8.53/8.75 tff('317', plain, 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('split', [status(esa)], ['68'])). 8.53/8.75 tff('318', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_false_only(sk_A_2, X0) 8.53/8.75 | g_false_only(sk_A_2, X1) 8.53/8.75 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.75 | ~ g_both(sk_A_2, X1) 8.53/8.75 | g_true_only(sk_A_2, sk_B_10(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['316', '317'])). 8.53/8.75 tff('319', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( g_true_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.75 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.75 | g_false_only(sk_A_2, sk_B_11) 8.53/8.75 | h_false_only(sk_A_2, X0))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['307', '318'])). 8.53/8.75 tff('320', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['302', '303'])). 8.53/8.75 tff('321', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_false_only(sk_A_2, X0) 8.53/8.75 | g_false_only(sk_A_2, sk_B_11) 8.53/8.75 | h_true_only(sk_A_2, sk_C_1(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['319', '320'])). 8.53/8.75 tff('322', plain, 8.53/8.75 (~ g_false_only(sk_A_2, sk_B_11)) <= (~ ( g_false_only(sk_A_2, sk_B_11))), 8.53/8.75 inference('split', [status(esa)], ['127'])). 8.53/8.75 tff('323', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_true_only(sk_A_2, sk_C_1(sk_A_2)) | h_false_only(sk_A_2, X0))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['321', '322'])). 8.53/8.75 tff('324', plain, 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('split', [status(esa)], ['169'])). 8.53/8.75 tff('325', plain, 8.53/8.75 (![X0]: h_false_only(sk_A_2, X0)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['323', '324'])). 8.53/8.75 tff('326', plain, 8.53/8.75 ( h_true(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['310', '311'])). 8.53/8.75 tff('327', plain, ![X4, X6]: (~ h_true(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('328', plain, 8.53/8.75 (~ h_false_only(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['326', '327'])). 8.53/8.75 tff('329', plain, 8.53/8.75 ( g_false_only(sk_A_2, sk_B_11)) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.75 ~ (![X23]: ~ h_true_only(sk_A_2, X23)) | 8.53/8.75 ~ 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) | 8.53/8.75 ~ 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))), 8.53/8.75 inference('sup-', [status(thm)], ['325', '328'])). 8.53/8.75 tff('330', plain, 8.53/8.75 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) | 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))), 8.53/8.75 inference('split', [status(esa)], ['44'])). 8.53/8.75 tff('331', plain, 8.53/8.75 ![X24, X25, X26, X28, X29, X30, X31, X32]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | g_both(sk_A, sk_B_6) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(X29, X32) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('332', plain, 8.53/8.75 (![X28]: h_false_only(sk_A_1, X28)) | ( g_both(sk_A, sk_B_6)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 ( g_true_only(sk_A_1, sk_B_9)) | ( g_true_only(sk_A, sk_B_7)), 8.53/8.75 inference('split', [status(esa)], ['331'])). 8.53/8.75 tff('333', plain, 8.53/8.75 ![X24, X25, X26, X29, X30, X31, X32, X33]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | h_false_only(sk_A, X33) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | g_both(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(X29, X32) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('334', plain, 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) | ( g_true_only(sk_A_1, sk_B_9)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) | ( g_true_only(sk_A, sk_B_7)), 8.53/8.75 inference('split', [status(esa)], ['333'])). 8.53/8.75 tff('335', plain, 8.53/8.75 ![X24, X25, X26, X29, X30, X31, X32]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | g_both(sk_A, sk_B_6) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | g_both(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(X29, X32) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('336', plain, 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) | ( g_both(sk_A, sk_B_6)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 ( g_true_only(sk_A_1, sk_B_9)) | ( g_true_only(sk_A, sk_B_7)), 8.53/8.75 inference('split', [status(esa)], ['335'])). 8.53/8.75 tff('337', plain, 8.53/8.75 ![X24, X25, X26, X28, X29, X30, X31, X32]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | g_both(sk_A, sk_B_6) 8.53/8.75 | h_both(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(X29, X32) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('338', plain, 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) | 8.53/8.75 ( g_both(sk_A, sk_B_6)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 ( g_true_only(sk_A, sk_B_7)), inference('split', [status(esa)], ['337'])). 8.53/8.75 tff('339', plain, 8.53/8.75 ![X24, X25, X26, X28, X29, X30, X31, X32, X33, X34, X35]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | h_false_only(sk_A, X34) 8.53/8.75 | ~ h_true_only(sk_A, X35) 8.53/8.75 | h_false_only(sk_A, X33) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(X29, X32) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('340', plain, 8.53/8.75 (![X28]: h_false_only(sk_A_1, X28)) | ( g_true_only(sk_A_1, sk_B_9)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) | (![X35]: ~ h_true_only(sk_A, X35)), 8.53/8.75 inference('split', [status(esa)], ['339'])). 8.53/8.75 tff('341', plain, 8.53/8.75 ![X24, X25, X26, X29, X30, X31, X32, X33, X34, X35]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | h_false_only(sk_A, X34) 8.53/8.75 | ~ h_true_only(sk_A, X35) 8.53/8.75 | h_false_only(sk_A, X33) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | g_both(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(X29, X32) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('342', plain, 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) | ( g_true_only(sk_A_1, sk_B_9)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) | (![X35]: ~ h_true_only(sk_A, X35)), 8.53/8.75 inference('split', [status(esa)], ['341'])). 8.53/8.75 tff('343', plain, 8.53/8.75 ![X24, X25, X26, X27, X28, X29, X30, X31, X32, X34, X35]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | h_false_only(sk_A, X34) 8.53/8.75 | ~ h_true_only(sk_A, X35) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | h_both(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(X29, X32) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('344', plain, 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) | 8.53/8.75 (![X27]: ~ g_true_only(sk_A, X27)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) | (![X35]: ~ h_true_only(sk_A, X35)), 8.53/8.75 inference('split', [status(esa)], ['343'])). 8.53/8.75 tff('345', plain, ( g_both(sk_A_1, sk_B_9)) <= (( g_both(sk_A_1, sk_B_9))), 8.53/8.75 inference('split', [status(esa)], ['15'])). 8.53/8.75 tff('346', plain, 8.53/8.75 (![X28]: h_false_only(sk_A_1, X28)) 8.53/8.75 <= ((![X28]: h_false_only(sk_A_1, X28))), 8.53/8.75 inference('split', [status(esa)], ['222'])). 8.53/8.75 tff('347', plain, 8.53/8.75 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('split', [status(esa)], ['44'])). 8.53/8.75 tff('348', plain, 8.53/8.75 (![X0]: ~ g_both(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: h_false_only(sk_A_1, X28)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['346', '347'])). 8.53/8.75 tff('349', plain, 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) | 8.53/8.75 ~ ( g_both(sk_A_1, sk_B_9)) | ~ (![X28]: h_false_only(sk_A_1, X28)), 8.53/8.75 inference('sup-', [status(thm)], ['345', '348'])). 8.53/8.75 tff('350', plain, 8.53/8.75 ![X24, X25, X26, X28, X29, X30, X31, X33]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | h_false_only(sk_A, X33) 8.53/8.75 | h_both(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('351', plain, 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) | 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) | ( g_true_only(sk_A, sk_B_7)), 8.53/8.75 inference('split', [status(esa)], ['350'])). 8.53/8.75 tff('352', plain, ( g_both(sk_A, sk_B_6)) <= (( g_both(sk_A, sk_B_6))), 8.53/8.75 inference('split', [status(esa)], ['2'])). 8.53/8.75 tff('353', plain, 8.53/8.75 (![X0]: h_false(sk_A, X0)) <= ((![X35]: ~ h_true_only(sk_A, X35))), 8.53/8.75 inference('sup-', [status(thm)], ['228', '230'])). 8.53/8.75 tff('354', plain, ( g_both(sk_A, sk_B_6)) <= (( g_both(sk_A, sk_B_6))), 8.53/8.75 inference('split', [status(esa)], ['2'])). 8.53/8.75 tff('355', plain, ![X0, X1]: ( h_false_only(X1, X0) | h_true(X1, X0)), 8.53/8.75 inference('simplify', [status(thm)], ['26'])). 8.53/8.75 tff('356', plain, 8.53/8.75 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('split', [status(esa)], ['44'])). 8.53/8.75 tff('357', plain, 8.53/8.75 (![X0, X1]: ( h_true(X0, sk_C(X1, X0)) | ~ g_both(X0, X1))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['355', '356'])). 8.53/8.75 tff('358', plain, 8.53/8.75 ( h_true(sk_A, sk_C(sk_B_6, sk_A))) 8.53/8.75 <= (( g_both(sk_A, sk_B_6)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['354', '357'])). 8.53/8.75 tff('359', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('360', plain, 8.53/8.75 ((~ h_false(sk_A, sk_C(sk_B_6, sk_A)) | h_both(sk_A, sk_C(sk_B_6, sk_A)))) 8.53/8.75 <= (( g_both(sk_A, sk_B_6)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['358', '359'])). 8.53/8.75 tff('361', plain, 8.53/8.75 ( h_both(sk_A, sk_C(sk_B_6, sk_A))) 8.53/8.75 <= (( g_both(sk_A, sk_B_6)) & 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['353', '360'])). 8.53/8.75 tff('362', plain, 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('split', [status(esa)], ['68'])). 8.53/8.75 tff('363', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_false_only(sk_A, X0) 8.53/8.75 | g_false_only(sk_A, X1) 8.53/8.75 | h_true_only(sk_A, sk_C_1(sk_A)) 8.53/8.75 | ~ g_both(sk_A, X1) 8.53/8.75 | g_true_only(sk_A, sk_B_10(sk_A)))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A, sk_B_6)) & 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['361', '362'])). 8.53/8.75 tff('364', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( g_true_only(sk_A, sk_B_10(sk_A)) 8.53/8.75 | h_true_only(sk_A, sk_C_1(sk_A)) 8.53/8.75 | g_false_only(sk_A, sk_B_6) 8.53/8.75 | h_false_only(sk_A, X0))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A, sk_B_6)) & 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['352', '363'])). 8.53/8.75 tff('365', plain, 8.53/8.75 ( h_true(sk_A, sk_C(sk_B_6, sk_A))) 8.53/8.75 <= (( g_both(sk_A, sk_B_6)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['354', '357'])). 8.53/8.75 tff('366', plain, ![X4, X6]: (~ h_true(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('367', plain, 8.53/8.75 (~ h_false_only(sk_A, sk_C(sk_B_6, sk_A))) 8.53/8.75 <= (( g_both(sk_A, sk_B_6)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['365', '366'])). 8.53/8.75 tff('368', plain, 8.53/8.75 (( g_false_only(sk_A, sk_B_6) 8.53/8.75 | h_true_only(sk_A, sk_C_1(sk_A)) 8.53/8.75 | g_true_only(sk_A, sk_B_10(sk_A)))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A, sk_B_6)) & 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['364', '367'])). 8.53/8.75 tff('369', plain, ( g_both(sk_A, sk_B_6)) <= (( g_both(sk_A, sk_B_6))), 8.53/8.75 inference('split', [status(esa)], ['2'])). 8.53/8.75 tff('370', plain, ![X16, X17]: ( g_true(X16, X17) | ~ g_both(X16, X17)), 8.53/8.75 inference('cnf', [status(esa)], [both_g])). 8.53/8.75 tff('371', plain, ( g_true(sk_A, sk_B_6)) <= (( g_both(sk_A, sk_B_6))), 8.53/8.75 inference('sup-', [status(thm)], ['369', '370'])). 8.53/8.75 tff('372', plain, 8.53/8.75 ![X10, X12]: (~ g_true(X10, X12) | ~ g_false_only(X10, X12)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_g])). 8.53/8.75 tff('373', plain, 8.53/8.75 (~ g_false_only(sk_A, sk_B_6)) <= (( g_both(sk_A, sk_B_6))), 8.53/8.75 inference('sup-', [status(thm)], ['371', '372'])). 8.53/8.75 tff('374', plain, 8.53/8.75 (( g_true_only(sk_A, sk_B_10(sk_A)) | h_true_only(sk_A, sk_C_1(sk_A)))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A, sk_B_6)) & 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('clc', [status(thm)], ['368', '373'])). 8.53/8.75 tff('375', plain, 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)) 8.53/8.75 <= ((![X35]: ~ h_true_only(sk_A, X35))), 8.53/8.75 inference('split', [status(esa)], ['229'])). 8.53/8.75 tff('376', plain, 8.53/8.75 ( g_true_only(sk_A, sk_B_10(sk_A))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A, sk_B_6)) & 8.53/8.75 (![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('clc', [status(thm)], ['374', '375'])). 8.53/8.75 tff('377', plain, 8.53/8.75 (![X0]: h_false(sk_A, X0)) <= ((![X35]: ~ h_true_only(sk_A, X35))), 8.53/8.75 inference('sup-', [status(thm)], ['228', '230'])). 8.53/8.75 tff('378', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( g_false(X0, X1) 8.53/8.75 | ~ h_false(X0, sk_C(X1, X0)) 8.53/8.75 | h_both(X0, sk_C(X1, X0)))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['263', '264'])). 8.53/8.75 tff('379', plain, 8.53/8.75 (![X0]: ( h_both(sk_A, sk_C(X0, sk_A)) | g_false(sk_A, X0))) 8.53/8.75 <= ((![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['377', '378'])). 8.53/8.75 tff('380', plain, 8.53/8.75 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('split', [status(esa)], ['267'])). 8.53/8.75 tff('381', plain, 8.53/8.75 (![X0]: ( g_false(sk_A, X0) | ~ g_true_only(sk_A, X0))) 8.53/8.75 <= ((![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['379', '380'])). 8.53/8.75 tff('382', plain, ![X7, X9]: (~ g_false(X7, X9) | ~ g_true_only(X7, X9)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_g])). 8.53/8.75 tff('383', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A, X0)) 8.53/8.75 <= ((![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['381', '382'])). 8.53/8.75 tff('384', plain, 8.53/8.75 ~ (![X35]: ~ h_true_only(sk_A, X35)) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) | 8.53/8.75 ~ ( g_both(sk_A, sk_B_6)) | 8.53/8.75 ~ 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))), 8.53/8.75 inference('sup-', [status(thm)], ['376', '383'])). 8.53/8.75 tff('385', plain, 8.53/8.75 ![X24, X25, X26, X28, X29, X30, X31]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | g_both(sk_A, sk_B_6) 8.53/8.75 | h_both(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('386', plain, 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) | 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 ( g_both(sk_A, sk_B_6)) | ( g_true_only(sk_A, sk_B_7)), 8.53/8.75 inference('split', [status(esa)], ['385'])). 8.53/8.75 tff('387', plain, 8.53/8.75 ![X24, X25, X26, X29, X30, X31]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | g_both(sk_A, sk_B_6) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | g_both(sk_A_1, sk_B_9) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('388', plain, 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) | ( g_both(sk_A, sk_B_6)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 ( g_true_only(sk_A_1, sk_B_9)) | 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) | 8.53/8.75 ( g_true_only(sk_A, sk_B_7)), inference('split', [status(esa)], ['387'])). 8.53/8.75 tff('389', plain, ( g_both(sk_A_1, sk_B_9)) <= (( g_both(sk_A_1, sk_B_9))), 8.53/8.75 inference('split', [status(esa)], ['15'])). 8.53/8.75 tff('390', plain, 8.53/8.75 (![X0]: h_false(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('clc', [status(thm)], ['35', '36'])). 8.53/8.75 tff('391', plain, ( g_both(sk_A_1, sk_B_9)) <= (( g_both(sk_A_1, sk_B_9))), 8.53/8.75 inference('split', [status(esa)], ['15'])). 8.53/8.75 tff('392', plain, 8.53/8.75 (![X0, X1]: ( h_true(X0, sk_C(X1, X0)) | ~ g_both(X0, X1))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['355', '356'])). 8.53/8.75 tff('393', plain, 8.53/8.75 ( h_true(sk_A_1, sk_C(sk_B_9, sk_A_1))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['391', '392'])). 8.53/8.75 tff('394', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('395', plain, 8.53/8.75 ((~ h_false(sk_A_1, sk_C(sk_B_9, sk_A_1)) 8.53/8.75 | h_both(sk_A_1, sk_C(sk_B_9, sk_A_1)))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['393', '394'])). 8.53/8.75 tff('396', plain, 8.53/8.75 ( h_both(sk_A_1, sk_C(sk_B_9, sk_A_1))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['390', '395'])). 8.53/8.75 tff('397', plain, 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32)))), 8.53/8.75 inference('split', [status(esa)], ['68'])). 8.53/8.75 tff('398', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_false_only(sk_A_1, X0) 8.53/8.75 | g_false_only(sk_A_1, X1) 8.53/8.75 | h_true_only(sk_A_1, sk_C_1(sk_A_1)) 8.53/8.75 | ~ g_both(sk_A_1, X1) 8.53/8.75 | g_true_only(sk_A_1, sk_B_10(sk_A_1)))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['396', '397'])). 8.53/8.75 tff('399', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( g_true_only(sk_A_1, sk_B_10(sk_A_1)) 8.53/8.75 | h_true_only(sk_A_1, sk_C_1(sk_A_1)) 8.53/8.75 | g_false_only(sk_A_1, sk_B_9) 8.53/8.75 | h_false_only(sk_A_1, X0))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['389', '398'])). 8.53/8.75 tff('400', plain, 8.53/8.75 ( h_true(sk_A_1, sk_C(sk_B_9, sk_A_1))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['391', '392'])). 8.53/8.75 tff('401', plain, ![X4, X6]: (~ h_true(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('402', plain, 8.53/8.75 (~ h_false_only(sk_A_1, sk_C(sk_B_9, sk_A_1))) 8.53/8.75 <= (( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['400', '401'])). 8.53/8.75 tff('403', plain, 8.53/8.75 (( g_false_only(sk_A_1, sk_B_9) 8.53/8.75 | h_true_only(sk_A_1, sk_C_1(sk_A_1)) 8.53/8.75 | g_true_only(sk_A_1, sk_B_10(sk_A_1)))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['399', '402'])). 8.53/8.75 tff('404', plain, 8.53/8.75 (~ g_false_only(sk_A_1, sk_B_9)) <= (( g_both(sk_A_1, sk_B_9))), 8.53/8.75 inference('sup-', [status(thm)], ['91', '92'])). 8.53/8.75 tff('405', plain, 8.53/8.75 (( g_true_only(sk_A_1, sk_B_10(sk_A_1)) 8.53/8.75 | h_true_only(sk_A_1, sk_C_1(sk_A_1)))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('clc', [status(thm)], ['403', '404'])). 8.53/8.75 tff('406', plain, 8.53/8.75 (![X0]: ~ h_true_only(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('sup-', [status(thm)], ['60', '61'])). 8.53/8.75 tff('407', plain, 8.53/8.75 ( g_true_only(sk_A_1, sk_B_10(sk_A_1))) 8.53/8.75 <= ((![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) & 8.53/8.75 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('clc', [status(thm)], ['405', '406'])). 8.53/8.75 tff('408', plain, ![X0, X1]: ( g_false(X1, X0) | g_true_only(X1, X0)), 8.53/8.75 inference('clc', [status(thm)], ['40', '41'])). 8.53/8.75 tff('409', plain, 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.75 inference('split', [status(esa)], ['32'])). 8.53/8.75 tff('410', plain, 8.53/8.75 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('split', [status(esa)], ['267'])). 8.53/8.75 tff('411', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_false_only(sk_A_1, sk_C(X0, sk_A_1)) | ~ g_true_only(sk_A_1, X0))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['409', '410'])). 8.53/8.75 tff('412', plain, 8.53/8.75 (![X0]: ( g_false(sk_A_1, X0) | h_false_only(sk_A_1, sk_C(X0, sk_A_1)))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['408', '411'])). 8.53/8.75 tff('413', plain, 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('split', [status(esa)], ['11'])). 8.53/8.75 tff('414', plain, 8.53/8.75 (![X0]: ( g_false(sk_A_1, X0) | ~ g_true_only(sk_A_1, X0))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['412', '413'])). 8.53/8.75 tff('415', plain, ![X7, X9]: (~ g_false(X7, X9) | ~ g_true_only(X7, X9)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_g])). 8.53/8.75 tff('416', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_1, X0)) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['414', '415'])). 8.53/8.75 tff('417', plain, 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.75 ~ ( g_both(sk_A_1, sk_B_9)) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) | 8.53/8.75 ~ 8.53/8.75 (![X29, X30, X31, X32]: 8.53/8.75 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31) 8.53/8.75 | h_false_only(X29, X32))) | 8.53/8.75 ~ (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))), 8.53/8.75 inference('sup-', [status(thm)], ['407', '416'])). 8.53/8.75 tff('418', plain, 8.53/8.75 ( g_true_only(sk_A_1, sk_B_9)) <= (( g_true_only(sk_A_1, sk_B_9))), 8.53/8.75 inference('split', [status(esa)], ['222'])). 8.53/8.75 tff('419', plain, 8.53/8.75 (![X0]: 8.53/8.75 ( h_false_only(sk_A_1, sk_C(X0, sk_A_1)) | ~ g_true_only(sk_A_1, X0))) 8.53/8.75 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['409', '410'])). 8.53/8.75 tff('420', plain, 8.53/8.75 ( h_false_only(sk_A_1, sk_C(sk_B_9, sk_A_1))) 8.53/8.75 <= (( g_true_only(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['418', '419'])). 8.53/8.75 tff('421', plain, 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('split', [status(esa)], ['11'])). 8.53/8.75 tff('422', plain, 8.53/8.75 (~ g_true_only(sk_A_1, sk_B_9)) 8.53/8.75 <= (( g_true_only(sk_A_1, sk_B_9)) & 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['420', '421'])). 8.53/8.75 tff('423', plain, 8.53/8.75 ( g_true_only(sk_A_1, sk_B_9)) <= (( g_true_only(sk_A_1, sk_B_9))), 8.53/8.75 inference('split', [status(esa)], ['222'])). 8.53/8.75 tff('424', plain, 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.75 ~ (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) | 8.53/8.75 ~ ( g_true_only(sk_A_1, sk_B_9)), 8.53/8.75 inference('demod', [status(thm)], ['422', '423'])). 8.53/8.75 tff('425', plain, 8.53/8.75 ![X24, X25, X26, X27, X28, X29, X30, X31, X34, X35]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | h_false_only(sk_A, X34) 8.53/8.75 | ~ h_true_only(sk_A, X35) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | h_both(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | h_false_only(sk_A_1, X28) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('426', plain, 8.53/8.75 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) | 8.53/8.75 (![X27]: ~ g_true_only(sk_A, X27)) | 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 (![X29, X30, X31]: 8.53/8.75 ( g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31))) | 8.53/8.75 (![X33]: h_false_only(sk_A, X33)) | (![X35]: ~ h_true_only(sk_A, X35)), 8.53/8.75 inference('split', [status(esa)], ['425'])). 8.53/8.75 tff('427', plain, 8.53/8.75 ( g_both(sk_A_2, sk_B_11)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['180', '185'])). 8.53/8.75 tff('428', plain, 8.53/8.75 ( h_both(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('demod', [status(thm)], ['193', '196'])). 8.53/8.75 tff('429', plain, 8.53/8.75 ![X24, X25, X26, X27, X29, X30, X31]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26) 8.53/8.75 | g_true_only(sk_A, sk_B_7) 8.53/8.75 | ~ g_true_only(sk_A, X27) 8.53/8.75 | g_true_only(sk_A_1, sk_B_9) 8.53/8.75 | g_both(sk_A_1, sk_B_9) 8.53/8.75 | g_both(X29, sk_B_10(X29)) 8.53/8.75 | g_true_only(X29, sk_B_10(X29)) 8.53/8.75 | ~ h_both(X29, X30) 8.53/8.75 | ~ g_both(X29, X31) 8.53/8.75 | h_true_only(X29, sk_C_1(X29)) 8.53/8.75 | g_false_only(X29, X31)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('430', plain, 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) 8.53/8.75 <= ((![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26)))), 8.53/8.75 inference('split', [status(esa)], ['429'])). 8.53/8.75 tff('431', plain, 8.53/8.75 (![X0]: 8.53/8.75 (~ g_both(sk_A_2, X0) 8.53/8.75 | g_true_only(sk_A_2, sk_B_4(sk_A_2)) 8.53/8.75 | h_true_only(sk_A_2, sk_B_5(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['428', '430'])). 8.53/8.75 tff('432', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['176', '177'])). 8.53/8.75 tff('433', plain, 8.53/8.75 (![X0]: ( h_true_only(sk_A_2, sk_B_5(sk_A_2)) | ~ g_both(sk_A_2, X0))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['431', '432'])). 8.53/8.75 tff('434', plain, 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('split', [status(esa)], ['169'])). 8.53/8.75 tff('435', plain, 8.53/8.75 (![X0]: ~ g_both(sk_A_2, X0)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['433', '434'])). 8.53/8.75 tff('436', plain, 8.53/8.75 ~ 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) | 8.53/8.75 ( g_false_only(sk_A_2, sk_B_11)) | 8.53/8.75 ~ (![X23]: ~ h_true_only(sk_A_2, X23)) | 8.53/8.75 ~ 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))), 8.53/8.75 inference('sup-', [status(thm)], ['427', '435'])). 8.53/8.75 tff('437', plain, 8.53/8.75 (![X0, X1]: ( h_false_only(sk_A_2, X1) | g_false(sk_A_2, X0))) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('clc', [status(thm)], ['171', '172'])). 8.53/8.75 tff('438', plain, 8.53/8.75 (![X0, X1]: ( g_false(X1, X0) | h_true(X1, sk_C(X0, X1)))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['259', '262'])). 8.53/8.75 tff('439', plain, ![X4, X6]: (~ h_true(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.75 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.75 tff('440', plain, 8.53/8.75 (![X0, X1]: ( g_false(X0, X1) | ~ h_false_only(X0, sk_C(X1, X0)))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['438', '439'])). 8.53/8.75 tff('441', plain, 8.53/8.75 (![X0, X1]: ( g_false(sk_A_2, X1) | g_false(sk_A_2, X0))) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['437', '440'])). 8.53/8.75 tff('442', plain, 8.53/8.75 (![X0]: g_false(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('condensation', [status(thm)], ['441'])). 8.53/8.75 tff('443', plain, 8.53/8.75 ((~ g_false(sk_A_2, sk_B_11) | g_both(sk_A_2, sk_B_11))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11))), 8.53/8.75 inference('sup-', [status(thm)], ['183', '184'])). 8.53/8.75 tff('444', plain, 8.53/8.75 ( g_both(sk_A_2, sk_B_11)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['442', '443'])). 8.53/8.75 tff('445', plain, 8.53/8.75 ( g_both(sk_A_2, sk_B_11)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['442', '443'])). 8.53/8.75 tff('446', plain, 8.53/8.75 (![X0, X1]: 8.53/8.75 ( h_true(X0, sk_B_3(X0)) 8.53/8.75 | ~ g_both(X0, X1) 8.53/8.75 | g_true_only(X0, sk_B_2(X0)))) 8.53/8.75 <= ((![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['27', '28'])). 8.53/8.75 tff('447', plain, 8.53/8.75 (( g_true_only(sk_A_2, sk_B_2(sk_A_2)) | h_true(sk_A_2, sk_B_3(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['445', '446'])). 8.53/8.75 tff('448', plain, 8.53/8.75 (![X0]: g_false(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('condensation', [status(thm)], ['441'])). 8.53/8.75 tff('449', plain, ![X7, X9]: (~ g_false(X7, X9) | ~ g_true_only(X7, X9)), 8.53/8.75 inference('cnf', [status(esa)], [true_only_g])). 8.53/8.75 tff('450', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['448', '449'])). 8.53/8.75 tff('451', plain, 8.53/8.75 ( h_true(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['447', '450'])). 8.53/8.75 tff('452', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('453', plain, 8.53/8.75 ((~ h_false(sk_A_2, sk_B_3(sk_A_2)) | h_both(sk_A_2, sk_B_3(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['451', '452'])). 8.53/8.75 tff('454', plain, 8.53/8.75 (![X0]: h_false(sk_A_2, X0)) <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('sup-', [status(thm)], ['194', '195'])). 8.53/8.75 tff('455', plain, 8.53/8.75 ( h_both(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('demod', [status(thm)], ['453', '454'])). 8.53/8.75 tff('456', plain, 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) 8.53/8.75 <= ((![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26)))), 8.53/8.75 inference('split', [status(esa)], ['429'])). 8.53/8.75 tff('457', plain, 8.53/8.75 (![X0]: 8.53/8.75 (~ g_both(sk_A_2, X0) 8.53/8.75 | g_true_only(sk_A_2, sk_B_4(sk_A_2)) 8.53/8.75 | h_true_only(sk_A_2, sk_B_5(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['455', '456'])). 8.53/8.75 tff('458', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40)))), 8.53/8.75 inference('sup-', [status(thm)], ['448', '449'])). 8.53/8.75 tff('459', plain, 8.53/8.75 (![X0]: ( h_true_only(sk_A_2, sk_B_5(sk_A_2)) | ~ g_both(sk_A_2, X0))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['457', '458'])). 8.53/8.75 tff('460', plain, 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('split', [status(esa)], ['169'])). 8.53/8.75 tff('461', plain, 8.53/8.75 (![X0]: ~ g_both(sk_A_2, X0)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['459', '460'])). 8.53/8.75 tff('462', plain, 8.53/8.75 ~ 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.75 ( g_false_only(sk_A_2, sk_B_11)) | 8.53/8.75 ~ (![X23]: ~ h_true_only(sk_A_2, X23)) | 8.53/8.75 ~ 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) | 8.53/8.75 ~ 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))), 8.53/8.75 inference('sup-', [status(thm)], ['444', '461'])). 8.53/8.75 tff('463', plain, 8.53/8.75 (![X36, X37]: 8.53/8.75 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) | 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))), 8.53/8.75 inference('split', [status(esa)], ['11'])). 8.53/8.75 tff('464', plain, 8.53/8.75 ![X36, X37, X38, X39, X40]: 8.53/8.75 ( h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40) 8.53/8.75 | ~ g_true_only(X36, X37) 8.53/8.75 | ~ h_false_only(X38, sk_C(X39, X38)) 8.53/8.75 | ~ g_true_only(X38, X39)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('465', plain, 8.53/8.75 (![X36, X37, X40]: 8.53/8.75 (~ g_true_only(X36, X37) 8.53/8.75 | h_true_only(X36, sk_B(X36)) 8.53/8.75 | ~ h_both(X36, X40))) | 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))), 8.53/8.75 inference('split', [status(esa)], ['464'])). 8.53/8.75 tff('466', plain, 8.53/8.75 ![X38, X39, X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42) 8.53/8.75 | ~ h_false_only(X38, sk_C(X39, X38)) 8.53/8.75 | ~ g_true_only(X38, X39)), 8.53/8.75 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.75 tff('467', plain, 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) | 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))), 8.53/8.75 inference('split', [status(esa)], ['466'])). 8.53/8.75 tff('468', plain, 8.53/8.75 ( g_both(sk_A_3, sk_B_12)) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['272', '273'])). 8.53/8.75 tff('469', plain, 8.53/8.75 ( h_both(sk_A_3, sk_B_3(sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('demod', [status(thm)], ['281', '282'])). 8.53/8.75 tff('470', plain, 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) 8.53/8.75 <= ((![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26)))), 8.53/8.75 inference('split', [status(esa)], ['429'])). 8.53/8.75 tff('471', plain, 8.53/8.75 (![X0]: 8.53/8.75 (~ g_both(sk_A_3, X0) 8.53/8.75 | g_true_only(sk_A_3, sk_B_4(sk_A_3)) 8.53/8.75 | h_true_only(sk_A_3, sk_B_5(sk_A_3)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('sup-', [status(thm)], ['469', '470'])). 8.53/8.75 tff('472', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_3, X0)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['269', '270'])). 8.53/8.75 tff('473', plain, 8.53/8.75 (![X0]: ( h_true_only(sk_A_3, sk_B_5(sk_A_3)) | ~ g_both(sk_A_3, X0))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['471', '472'])). 8.53/8.75 tff('474', plain, 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.75 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.75 inference('split', [status(esa)], ['110'])). 8.53/8.75 tff('475', plain, 8.53/8.75 (![X0]: ~ g_both(sk_A_3, X0)) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42)))), 8.53/8.75 inference('clc', [status(thm)], ['473', '474'])). 8.53/8.75 tff('476', plain, 8.53/8.75 ~ 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.75 ( g_false_only(sk_A_3, sk_B_12)) | 8.53/8.75 ~ 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))) | 8.53/8.75 ~ (![X22]: ~ h_true_only(sk_A_3, X22)), 8.53/8.75 inference('sup-', [status(thm)], ['468', '475'])). 8.53/8.75 tff('477', plain, 8.53/8.75 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) | 8.53/8.75 (![X41, X42]: 8.53/8.75 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.75 | g_true_only(X41, sk_B_2(X41)) 8.53/8.75 | ~ g_both(X41, X42))), 8.53/8.75 inference('split', [status(esa)], ['6'])). 8.53/8.75 tff('478', plain, 8.53/8.75 ( g_both(sk_A_2, sk_B_11)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['305', '306'])). 8.53/8.75 tff('479', plain, 8.53/8.75 ( g_both(sk_A_2, sk_B_11)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['305', '306'])). 8.53/8.75 tff('480', plain, 8.53/8.75 (![X0, X1]: ( h_true(X0, sk_C(X1, X0)) | ~ g_both(X0, X1))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['355', '356'])). 8.53/8.75 tff('481', plain, 8.53/8.75 ( h_true(sk_A_2, sk_C(sk_B_11, sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['479', '480'])). 8.53/8.75 tff('482', plain, 8.53/8.75 ![X19, X20]: 8.53/8.75 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.75 inference('cnf', [status(esa)], [both_h])). 8.53/8.75 tff('483', plain, 8.53/8.75 ((~ h_false(sk_A_2, sk_C(sk_B_11, sk_A_2)) 8.53/8.75 | h_both(sk_A_2, sk_C(sk_B_11, sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['481', '482'])). 8.53/8.75 tff('484', plain, 8.53/8.75 (![X0]: h_false(sk_A_2, X0)) <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('sup-', [status(thm)], ['194', '195'])). 8.53/8.75 tff('485', plain, 8.53/8.75 ( h_both(sk_A_2, sk_C(sk_B_11, sk_A_2))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('demod', [status(thm)], ['483', '484'])). 8.53/8.75 tff('486', plain, 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) 8.53/8.75 <= ((![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26)))), 8.53/8.75 inference('split', [status(esa)], ['429'])). 8.53/8.75 tff('487', plain, 8.53/8.75 (![X0]: 8.53/8.75 (~ g_both(sk_A_2, X0) 8.53/8.75 | g_true_only(sk_A_2, sk_B_4(sk_A_2)) 8.53/8.75 | h_true_only(sk_A_2, sk_B_5(sk_A_2)))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['485', '486'])). 8.53/8.75 tff('488', plain, 8.53/8.75 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['302', '303'])). 8.53/8.75 tff('489', plain, 8.53/8.75 (![X0]: ( h_true_only(sk_A_2, sk_B_5(sk_A_2)) | ~ g_both(sk_A_2, X0))) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['487', '488'])). 8.53/8.75 tff('490', plain, 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.75 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.75 inference('split', [status(esa)], ['169'])). 8.53/8.75 tff('491', plain, 8.53/8.75 (![X0]: ~ g_both(sk_A_2, X0)) 8.53/8.75 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.75 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('clc', [status(thm)], ['489', '490'])). 8.53/8.75 tff('492', plain, 8.53/8.75 ~ 8.53/8.75 (![X24, X25, X26]: 8.53/8.75 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.75 | ~ h_both(X24, X25) 8.53/8.75 | g_true_only(X24, sk_B_4(X24)) 8.53/8.75 | ~ g_both(X24, X26))) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) | 8.53/8.75 ( g_false_only(sk_A_2, sk_B_11)) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.75 ~ 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.75 ~ (![X23]: ~ h_true_only(sk_A_2, X23)), 8.53/8.75 inference('sup-', [status(thm)], ['478', '491'])). 8.53/8.75 tff('493', plain, 8.53/8.75 ( g_both(sk_A_3, sk_B_12)) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['272', '273'])). 8.53/8.75 tff('494', plain, 8.53/8.75 ( g_both(sk_A_3, sk_B_12)) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.75 inference('sup-', [status(thm)], ['272', '273'])). 8.53/8.75 tff('495', plain, 8.53/8.75 (![X0, X1]: ( h_true(X0, sk_C(X1, X0)) | ~ g_both(X0, X1))) 8.53/8.75 <= ((![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.75 inference('sup-', [status(thm)], ['355', '356'])). 8.53/8.75 tff('496', plain, 8.53/8.75 ( h_true(sk_A_3, sk_C(sk_B_12, sk_A_3))) 8.53/8.75 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.75 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.75 (![X38, X39]: 8.53/8.75 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['494', '495'])). 8.53/8.76 tff('497', plain, 8.53/8.76 ![X19, X20]: 8.53/8.76 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.76 inference('cnf', [status(esa)], [both_h])). 8.53/8.76 tff('498', plain, 8.53/8.76 ((~ h_false(sk_A_3, sk_C(sk_B_12, sk_A_3)) 8.53/8.76 | h_both(sk_A_3, sk_C(sk_B_12, sk_A_3)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['496', '497'])). 8.53/8.76 tff('499', plain, 8.53/8.76 (![X0]: h_false(sk_A_3, X0)) <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.76 inference('sup-', [status(thm)], ['140', '141'])). 8.53/8.76 tff('500', plain, 8.53/8.76 ( h_both(sk_A_3, sk_C(sk_B_12, sk_A_3))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('demod', [status(thm)], ['498', '499'])). 8.53/8.76 tff('501', plain, 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) 8.53/8.76 <= ((![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26)))), 8.53/8.76 inference('split', [status(esa)], ['429'])). 8.53/8.76 tff('502', plain, 8.53/8.76 (![X0]: 8.53/8.76 (~ g_both(sk_A_3, X0) 8.53/8.76 | g_true_only(sk_A_3, sk_B_4(sk_A_3)) 8.53/8.76 | h_true_only(sk_A_3, sk_B_5(sk_A_3)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['500', '501'])). 8.53/8.76 tff('503', plain, 8.53/8.76 (![X0]: ~ g_true_only(sk_A_3, X0)) 8.53/8.76 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['269', '270'])). 8.53/8.76 tff('504', plain, 8.53/8.76 (![X0]: ( h_true_only(sk_A_3, sk_B_5(sk_A_3)) | ~ g_both(sk_A_3, X0))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['502', '503'])). 8.53/8.76 tff('505', plain, 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.76 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.76 inference('split', [status(esa)], ['110'])). 8.53/8.76 tff('506', plain, 8.53/8.76 (![X0]: ~ g_both(sk_A_3, X0)) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['504', '505'])). 8.53/8.76 tff('507', plain, 8.53/8.76 ~ 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.76 ~ (![X22]: ~ h_true_only(sk_A_3, X22)) | ( g_false_only(sk_A_3, sk_B_12)), 8.53/8.76 inference('sup-', [status(thm)], ['493', '506'])). 8.53/8.76 tff('508', plain, 8.53/8.76 ( g_both(sk_A_2, sk_B_11)) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['305', '306'])). 8.53/8.76 tff('509', plain, 8.53/8.76 ( h_both(sk_A_2, sk_B_3(sk_A_2))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42)))), 8.53/8.76 inference('demod', [status(thm)], ['314', '315'])). 8.53/8.76 tff('510', plain, 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) 8.53/8.76 <= ((![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26)))), 8.53/8.76 inference('split', [status(esa)], ['429'])). 8.53/8.76 tff('511', plain, 8.53/8.76 (![X0]: 8.53/8.76 (~ g_both(sk_A_2, X0) 8.53/8.76 | g_true_only(sk_A_2, sk_B_4(sk_A_2)) 8.53/8.76 | h_true_only(sk_A_2, sk_B_5(sk_A_2)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42)))), 8.53/8.76 inference('sup-', [status(thm)], ['509', '510'])). 8.53/8.76 tff('512', plain, 8.53/8.76 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.76 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['302', '303'])). 8.53/8.76 tff('513', plain, 8.53/8.76 (![X0]: ( h_true_only(sk_A_2, sk_B_5(sk_A_2)) | ~ g_both(sk_A_2, X0))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42)))), 8.53/8.76 inference('clc', [status(thm)], ['511', '512'])). 8.53/8.76 tff('514', plain, 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.76 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.76 inference('split', [status(esa)], ['169'])). 8.53/8.76 tff('515', plain, 8.53/8.76 (![X0]: ~ g_both(sk_A_2, X0)) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) & 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42)))), 8.53/8.76 inference('clc', [status(thm)], ['513', '514'])). 8.53/8.76 tff('516', plain, 8.53/8.76 ~ 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.76 ( g_false_only(sk_A_2, sk_B_11)) | 8.53/8.76 ~ (![X23]: ~ h_true_only(sk_A_2, X23)) | 8.53/8.76 ~ 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42))) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))), 8.53/8.76 inference('sup-', [status(thm)], ['508', '515'])). 8.53/8.76 tff('517', plain, 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) | 8.53/8.76 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))), 8.53/8.76 inference('split', [status(esa)], ['267'])). 8.53/8.76 tff('518', plain, 8.53/8.76 ![X36, X37, X38, X39, X40]: 8.53/8.76 ( h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40) 8.53/8.76 | ~ g_true_only(X36, X37) 8.53/8.76 | ~ h_both(X38, sk_C(X39, X38)) 8.53/8.76 | ~ g_true_only(X38, X39)), 8.53/8.76 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.76 tff('519', plain, 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40))) | 8.53/8.76 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))), 8.53/8.76 inference('split', [status(esa)], ['518'])). 8.53/8.76 tff('520', plain, 8.53/8.76 ![X38, X39, X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42) 8.53/8.76 | ~ h_both(X38, sk_C(X39, X38)) 8.53/8.76 | ~ g_true_only(X38, X39)), 8.53/8.76 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.76 tff('521', plain, 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42))) | 8.53/8.76 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))), 8.53/8.76 inference('split', [status(esa)], ['520'])). 8.53/8.76 tff('522', plain, 8.53/8.76 ( g_both(sk_A_3, sk_B_12)) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40)))), 8.53/8.76 inference('sup-', [status(thm)], ['121', '131'])). 8.53/8.76 tff('523', plain, 8.53/8.76 ( h_both(sk_A_3, sk_B_3(sk_A_3))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40))) & 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42)))), 8.53/8.76 inference('demod', [status(thm)], ['139', '142'])). 8.53/8.76 tff('524', plain, 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) 8.53/8.76 <= ((![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26)))), 8.53/8.76 inference('split', [status(esa)], ['429'])). 8.53/8.76 tff('525', plain, 8.53/8.76 (![X0]: 8.53/8.76 (~ g_both(sk_A_3, X0) 8.53/8.76 | g_true_only(sk_A_3, sk_B_4(sk_A_3)) 8.53/8.76 | h_true_only(sk_A_3, sk_B_5(sk_A_3)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40))) & 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42)))), 8.53/8.76 inference('sup-', [status(thm)], ['523', '524'])). 8.53/8.76 tff('526', plain, 8.53/8.76 (![X0]: ~ g_true_only(sk_A_3, X0)) 8.53/8.76 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40)))), 8.53/8.76 inference('sup-', [status(thm)], ['117', '118'])). 8.53/8.76 tff('527', plain, 8.53/8.76 (![X0]: ( h_true_only(sk_A_3, sk_B_5(sk_A_3)) | ~ g_both(sk_A_3, X0))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40))) & 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42)))), 8.53/8.76 inference('clc', [status(thm)], ['525', '526'])). 8.53/8.76 tff('528', plain, 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.76 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.76 inference('split', [status(esa)], ['110'])). 8.53/8.76 tff('529', plain, 8.53/8.76 (![X0]: ~ g_both(sk_A_3, X0)) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40))) & 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42)))), 8.53/8.76 inference('clc', [status(thm)], ['527', '528'])). 8.53/8.76 tff('530', plain, 8.53/8.76 ~ 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) | 8.53/8.76 ~ 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) | 8.53/8.76 ~ (![X22]: ~ h_true_only(sk_A_3, X22)) | 8.53/8.76 ~ 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40))) | 8.53/8.76 ~ 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42))) | 8.53/8.76 ( g_false_only(sk_A_3, sk_B_12)), 8.53/8.76 inference('sup-', [status(thm)], ['522', '529'])). 8.53/8.76 tff('531', plain, 8.53/8.76 (![X0]: h_false(sk_A, X0)) <= ((![X35]: ~ h_true_only(sk_A, X35))), 8.53/8.76 inference('sup-', [status(thm)], ['228', '230'])). 8.53/8.76 tff('532', plain, 8.53/8.76 ( g_true_only(sk_A, sk_B_7)) <= (( g_true_only(sk_A, sk_B_7))), 8.53/8.76 inference('split', [status(esa)], ['222'])). 8.53/8.76 tff('533', plain, 8.53/8.76 (![X0, X1]: ( h_true(X0, sk_C(X1, X0)) | ~ g_true_only(X0, X1))) 8.53/8.76 <= ((![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.76 inference('sup-', [status(thm)], ['260', '261'])). 8.53/8.76 tff('534', plain, 8.53/8.76 ( h_true(sk_A, sk_C(sk_B_7, sk_A))) 8.53/8.76 <= (( g_true_only(sk_A, sk_B_7)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.76 inference('sup-', [status(thm)], ['532', '533'])). 8.53/8.76 tff('535', plain, 8.53/8.76 ![X19, X20]: 8.53/8.76 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.76 inference('cnf', [status(esa)], [both_h])). 8.53/8.76 tff('536', plain, 8.53/8.76 ((~ h_false(sk_A, sk_C(sk_B_7, sk_A)) | h_both(sk_A, sk_C(sk_B_7, sk_A)))) 8.53/8.76 <= (( g_true_only(sk_A, sk_B_7)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.76 inference('sup-', [status(thm)], ['534', '535'])). 8.53/8.76 tff('537', plain, 8.53/8.76 ( h_both(sk_A, sk_C(sk_B_7, sk_A))) 8.53/8.76 <= (( g_true_only(sk_A, sk_B_7)) & 8.53/8.76 (![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.76 inference('sup-', [status(thm)], ['531', '536'])). 8.53/8.76 tff('538', plain, 8.53/8.76 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) 8.53/8.76 <= ((![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('split', [status(esa)], ['267'])). 8.53/8.76 tff('539', plain, 8.53/8.76 (~ g_true_only(sk_A, sk_B_7)) 8.53/8.76 <= (( g_true_only(sk_A, sk_B_7)) & 8.53/8.76 (![X35]: ~ h_true_only(sk_A, X35)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['537', '538'])). 8.53/8.76 tff('540', plain, 8.53/8.76 ( g_true_only(sk_A, sk_B_7)) <= (( g_true_only(sk_A, sk_B_7))), 8.53/8.76 inference('split', [status(esa)], ['222'])). 8.53/8.76 tff('541', plain, 8.53/8.76 ~ (![X35]: ~ h_true_only(sk_A, X35)) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.76 ~ ( g_true_only(sk_A, sk_B_7)), 8.53/8.76 inference('demod', [status(thm)], ['539', '540'])). 8.53/8.76 tff('542', plain, 8.53/8.76 ( g_true_only(sk_A, sk_B_7)) <= (( g_true_only(sk_A, sk_B_7))), 8.53/8.76 inference('split', [status(esa)], ['222'])). 8.53/8.76 tff('543', plain, 8.53/8.76 (![X0]: ~ g_true_only(sk_A, X0)) 8.53/8.76 <= ((![X33]: h_false_only(sk_A, X33)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39)))), 8.53/8.76 inference('sup-', [status(thm)], ['10', '12'])). 8.53/8.76 tff('544', plain, 8.53/8.76 ~ (![X33]: h_false_only(sk_A, X33)) | ~ ( g_true_only(sk_A, sk_B_7)) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))), 8.53/8.76 inference('sup-', [status(thm)], ['542', '543'])). 8.53/8.76 tff('545', plain, 8.53/8.76 ~ ( g_false_only(sk_A_2, sk_B_11)) | (![X22]: ~ h_true_only(sk_A_3, X22)), 8.53/8.76 inference('split', [status(esa)], ['110'])). 8.53/8.76 tff('546', plain, 8.53/8.76 ![X22, X23]: (~ h_true_only(sk_A_2, X23) | ~ h_true_only(sk_A_3, X22)), 8.53/8.76 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.76 tff('547', plain, 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) | 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)), 8.53/8.76 inference('split', [status(esa)], ['546'])). 8.53/8.76 tff('548', plain, 8.53/8.76 (![X0, X1]: 8.53/8.76 ( h_true_only(X0, X1) 8.53/8.76 | h_false_only(X0, X1) 8.53/8.76 | h_true_only(X0, sk_C_1(X0)) 8.53/8.76 | g_true_only(X0, sk_B_10(X0)) 8.53/8.76 | g_false_only(X0, sk_B_10(X0)))) 8.53/8.76 <= ((![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32)))), 8.53/8.76 inference('eq_fact', [status(thm)], ['107'])). 8.53/8.76 tff('549', plain, 8.53/8.76 ( h_true(sk_A_3, sk_C(sk_B_12, sk_A_3))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['494', '495'])). 8.53/8.76 tff('550', plain, ![X4, X6]: (~ h_true(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.76 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.76 tff('551', plain, 8.53/8.76 (~ h_false_only(sk_A_3, sk_C(sk_B_12, sk_A_3))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['549', '550'])). 8.53/8.76 tff('552', plain, 8.53/8.76 (( g_false_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.76 | g_true_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.76 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.76 | h_true_only(sk_A_3, sk_C(sk_B_12, sk_A_3)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['548', '551'])). 8.53/8.76 tff('553', plain, 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.76 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.76 inference('split', [status(esa)], ['110'])). 8.53/8.76 tff('554', plain, 8.53/8.76 (( h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.76 | g_true_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.76 | g_false_only(sk_A_3, sk_B_10(sk_A_3)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['552', '553'])). 8.53/8.76 tff('555', plain, 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.76 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.76 inference('split', [status(esa)], ['110'])). 8.53/8.76 tff('556', plain, 8.53/8.76 (( g_false_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.76 | g_true_only(sk_A_3, sk_B_10(sk_A_3)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['554', '555'])). 8.53/8.76 tff('557', plain, 8.53/8.76 (![X0]: ~ g_true_only(sk_A_3, X0)) 8.53/8.76 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['269', '270'])). 8.53/8.76 tff('558', plain, 8.53/8.76 ( g_false_only(sk_A_3, sk_B_10(sk_A_3))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['556', '557'])). 8.53/8.76 tff('559', plain, 8.53/8.76 ( g_both(sk_A_3, sk_B_12)) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['272', '273'])). 8.53/8.76 tff('560', plain, 8.53/8.76 ( h_both(sk_A_3, sk_C(sk_B_12, sk_A_3))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('demod', [status(thm)], ['498', '499'])). 8.53/8.76 tff('561', plain, 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) 8.53/8.76 <= ((![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31)))), 8.53/8.76 inference('split', [status(esa)], ['144'])). 8.53/8.76 tff('562', plain, 8.53/8.76 (![X0]: 8.53/8.76 ( g_false_only(sk_A_3, X0) 8.53/8.76 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.76 | ~ g_both(sk_A_3, X0) 8.53/8.76 | g_true_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.76 | g_both(sk_A_3, sk_B_10(sk_A_3)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['560', '561'])). 8.53/8.76 tff('563', plain, 8.53/8.76 (( g_both(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.76 | g_true_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.76 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.76 | g_false_only(sk_A_3, sk_B_12))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['559', '562'])). 8.53/8.76 tff('564', plain, ![X16, X17]: ( g_true(X16, X17) | ~ g_both(X16, X17)), 8.53/8.76 inference('cnf', [status(esa)], [both_g])). 8.53/8.76 tff('565', plain, 8.53/8.76 (( g_false_only(sk_A_3, sk_B_12) 8.53/8.76 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.76 | g_true_only(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.76 | g_true(sk_A_3, sk_B_10(sk_A_3)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['563', '564'])). 8.53/8.76 tff('566', plain, 8.53/8.76 (![X0]: ~ g_true_only(sk_A_3, X0)) 8.53/8.76 <= ((![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['269', '270'])). 8.53/8.76 tff('567', plain, 8.53/8.76 (( g_true(sk_A_3, sk_B_10(sk_A_3)) 8.53/8.76 | h_true_only(sk_A_3, sk_C_1(sk_A_3)) 8.53/8.76 | g_false_only(sk_A_3, sk_B_12))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['565', '566'])). 8.53/8.76 tff('568', plain, 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) 8.53/8.76 <= ((![X22]: ~ h_true_only(sk_A_3, X22))), 8.53/8.76 inference('split', [status(esa)], ['110'])). 8.53/8.76 tff('569', plain, 8.53/8.76 (( g_false_only(sk_A_3, sk_B_12) | g_true(sk_A_3, sk_B_10(sk_A_3)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['567', '568'])). 8.53/8.76 tff('570', plain, 8.53/8.76 (~ g_false_only(sk_A_3, sk_B_12)) <= (~ ( g_false_only(sk_A_3, sk_B_12))), 8.53/8.76 inference('split', [status(esa)], ['127'])). 8.53/8.76 tff('571', plain, 8.53/8.76 ( g_true(sk_A_3, sk_B_10(sk_A_3))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['569', '570'])). 8.53/8.76 tff('572', plain, 8.53/8.76 ![X10, X12]: (~ g_true(X10, X12) | ~ g_false_only(X10, X12)), 8.53/8.76 inference('cnf', [status(esa)], [false_only_g])). 8.53/8.76 tff('573', plain, 8.53/8.76 (~ g_false_only(sk_A_3, sk_B_10(sk_A_3))) 8.53/8.76 <= (~ ( g_false_only(sk_A_3, sk_B_12)) & 8.53/8.76 (![X22]: ~ h_true_only(sk_A_3, X22)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['571', '572'])). 8.53/8.76 tff('574', plain, 8.53/8.76 ~ (![X22]: ~ h_true_only(sk_A_3, X22)) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) | 8.53/8.76 ( g_false_only(sk_A_3, sk_B_12)) | 8.53/8.76 ~ 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) | 8.53/8.76 ~ 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))), 8.53/8.76 inference('sup-', [status(thm)], ['558', '573'])). 8.53/8.76 tff('575', plain, 8.53/8.76 ~ ( g_false_only(sk_A_3, sk_B_12)) | ~ ( g_false_only(sk_A_2, sk_B_11)), 8.53/8.76 inference('split', [status(esa)], ['127'])). 8.53/8.76 tff('576', plain, 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) | ~ ( g_false_only(sk_A_3, sk_B_12)), 8.53/8.76 inference('split', [status(esa)], ['169'])). 8.53/8.76 tff('577', plain, 8.53/8.76 (![X0, X1]: 8.53/8.76 ( h_true_only(X0, X1) 8.53/8.76 | h_false_only(X0, X1) 8.53/8.76 | h_true_only(X0, sk_C_1(X0)) 8.53/8.76 | g_true_only(X0, sk_B_10(X0)) 8.53/8.76 | g_false_only(X0, sk_B_10(X0)))) 8.53/8.76 <= ((![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32)))), 8.53/8.76 inference('eq_fact', [status(thm)], ['107'])). 8.53/8.76 tff('578', plain, 8.53/8.76 ( h_true(sk_A_2, sk_C(sk_B_11, sk_A_2))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['479', '480'])). 8.53/8.76 tff('579', plain, ![X4, X6]: (~ h_true(X4, X6) | ~ h_false_only(X4, X6)), 8.53/8.76 inference('cnf', [status(esa)], [false_only_h])). 8.53/8.76 tff('580', plain, 8.53/8.76 (~ h_false_only(sk_A_2, sk_C(sk_B_11, sk_A_2))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['578', '579'])). 8.53/8.76 tff('581', plain, 8.53/8.76 (( g_false_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.76 | g_true_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.76 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.76 | h_true_only(sk_A_2, sk_C(sk_B_11, sk_A_2)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['577', '580'])). 8.53/8.76 tff('582', plain, 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.76 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.76 inference('split', [status(esa)], ['169'])). 8.53/8.76 tff('583', plain, 8.53/8.76 (( h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.76 | g_true_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.76 | g_false_only(sk_A_2, sk_B_10(sk_A_2)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['581', '582'])). 8.53/8.76 tff('584', plain, 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.76 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.76 inference('split', [status(esa)], ['169'])). 8.53/8.76 tff('585', plain, 8.53/8.76 (( g_false_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.76 | g_true_only(sk_A_2, sk_B_10(sk_A_2)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['583', '584'])). 8.53/8.76 tff('586', plain, 8.53/8.76 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.76 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['302', '303'])). 8.53/8.76 tff('587', plain, 8.53/8.76 ( g_false_only(sk_A_2, sk_B_10(sk_A_2))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['585', '586'])). 8.53/8.76 tff('588', plain, 8.53/8.76 ( g_both(sk_A_2, sk_B_11)) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['305', '306'])). 8.53/8.76 tff('589', plain, 8.53/8.76 ( h_both(sk_A_2, sk_C(sk_B_11, sk_A_2))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('demod', [status(thm)], ['483', '484'])). 8.53/8.76 tff('590', plain, 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) 8.53/8.76 <= ((![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31)))), 8.53/8.76 inference('split', [status(esa)], ['144'])). 8.53/8.76 tff('591', plain, 8.53/8.76 (![X0]: 8.53/8.76 ( g_false_only(sk_A_2, X0) 8.53/8.76 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.76 | ~ g_both(sk_A_2, X0) 8.53/8.76 | g_true_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.76 | g_both(sk_A_2, sk_B_10(sk_A_2)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['589', '590'])). 8.53/8.76 tff('592', plain, 8.53/8.76 (( g_both(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.76 | g_true_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.76 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.76 | g_false_only(sk_A_2, sk_B_11))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['588', '591'])). 8.53/8.76 tff('593', plain, ![X16, X17]: ( g_true(X16, X17) | ~ g_both(X16, X17)), 8.53/8.76 inference('cnf', [status(esa)], [both_g])). 8.53/8.76 tff('594', plain, 8.53/8.76 (( g_false_only(sk_A_2, sk_B_11) 8.53/8.76 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.76 | g_true_only(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.76 | g_true(sk_A_2, sk_B_10(sk_A_2)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['592', '593'])). 8.53/8.76 tff('595', plain, 8.53/8.76 (![X0]: ~ g_true_only(sk_A_2, X0)) 8.53/8.76 <= ((![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['302', '303'])). 8.53/8.76 tff('596', plain, 8.53/8.76 (( g_true(sk_A_2, sk_B_10(sk_A_2)) 8.53/8.76 | h_true_only(sk_A_2, sk_C_1(sk_A_2)) 8.53/8.76 | g_false_only(sk_A_2, sk_B_11))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['594', '595'])). 8.53/8.76 tff('597', plain, 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) 8.53/8.76 <= ((![X23]: ~ h_true_only(sk_A_2, X23))), 8.53/8.76 inference('split', [status(esa)], ['169'])). 8.53/8.76 tff('598', plain, 8.53/8.76 (( g_false_only(sk_A_2, sk_B_11) | g_true(sk_A_2, sk_B_10(sk_A_2)))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['596', '597'])). 8.53/8.76 tff('599', plain, 8.53/8.76 (~ g_false_only(sk_A_2, sk_B_11)) <= (~ ( g_false_only(sk_A_2, sk_B_11))), 8.53/8.76 inference('split', [status(esa)], ['127'])). 8.53/8.76 tff('600', plain, 8.53/8.76 ( g_true(sk_A_2, sk_B_10(sk_A_2))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('clc', [status(thm)], ['598', '599'])). 8.53/8.76 tff('601', plain, 8.53/8.76 ![X10, X12]: (~ g_true(X10, X12) | ~ g_false_only(X10, X12)), 8.53/8.76 inference('cnf', [status(esa)], [false_only_g])). 8.53/8.76 tff('602', plain, 8.53/8.76 (~ g_false_only(sk_A_2, sk_B_10(sk_A_2))) 8.53/8.76 <= (~ ( g_false_only(sk_A_2, sk_B_11)) & 8.53/8.76 (![X23]: ~ h_true_only(sk_A_2, X23)) & 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38))))), 8.53/8.76 inference('sup-', [status(thm)], ['600', '601'])). 8.53/8.76 tff('603', plain, 8.53/8.76 ( g_false_only(sk_A_2, sk_B_11)) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: (~ g_true_only(X38, X39) | ~ h_both(X38, sk_C(X39, X38)))) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_true_only(X38, X39))) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) | 8.53/8.76 ~ (![X23]: ~ h_true_only(sk_A_2, X23)) | 8.53/8.76 ~ 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) | 8.53/8.76 ~ 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))), 8.53/8.76 inference('sup-', [status(thm)], ['587', '602'])). 8.53/8.76 tff('604', plain, 8.53/8.76 ![X24, X25, X26, X29, X30, X31, X33, X34, X35]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26) 8.53/8.76 | h_false_only(sk_A, X34) 8.53/8.76 | ~ h_true_only(sk_A, X35) 8.53/8.76 | h_false_only(sk_A, X33) 8.53/8.76 | g_true_only(sk_A_1, sk_B_9) 8.53/8.76 | g_both(sk_A_1, sk_B_9) 8.53/8.76 | g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31)), 8.53/8.76 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.76 tff('605', plain, 8.53/8.76 ( g_both(sk_A_1, sk_B_9)) | 8.53/8.76 (![X29, X30, X31]: 8.53/8.76 ( g_both(X29, sk_B_10(X29)) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31))) | 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) | 8.53/8.76 (![X33]: h_false_only(sk_A, X33)) | 8.53/8.76 (![X35]: ~ h_true_only(sk_A, X35)) | ( g_true_only(sk_A_1, sk_B_9)), 8.53/8.76 inference('split', [status(esa)], ['604'])). 8.53/8.76 tff('606', plain, ( g_both(sk_A, sk_B_6)) <= (( g_both(sk_A, sk_B_6))), 8.53/8.76 inference('split', [status(esa)], ['2'])). 8.53/8.76 tff('607', plain, 8.53/8.76 (![X33]: h_false_only(sk_A, X33)) 8.53/8.76 <= ((![X33]: h_false_only(sk_A, X33))), 8.53/8.76 inference('split', [status(esa)], ['4'])). 8.53/8.76 tff('608', plain, 8.53/8.76 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) 8.53/8.76 <= ((![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.76 inference('split', [status(esa)], ['44'])). 8.53/8.76 tff('609', plain, 8.53/8.76 (![X0]: ~ g_both(sk_A, X0)) 8.53/8.76 <= ((![X33]: h_false_only(sk_A, X33)) & 8.53/8.76 (![X38, X39]: 8.53/8.76 (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39)))), 8.53/8.76 inference('sup-', [status(thm)], ['607', '608'])). 8.53/8.76 tff('610', plain, 8.53/8.76 ~ ( g_both(sk_A, sk_B_6)) | 8.53/8.76 ~ 8.53/8.76 (![X38, X39]: (~ h_false_only(X38, sk_C(X39, X38)) | ~ g_both(X38, X39))) | 8.53/8.76 ~ (![X33]: h_false_only(sk_A, X33)), 8.53/8.76 inference('sup-', [status(thm)], ['606', '609'])). 8.53/8.76 tff('611', plain, 8.53/8.76 ( g_true_only(sk_A, sk_B_2(sk_A))) 8.53/8.76 <= ((![X33]: h_false_only(sk_A, X33)) & 8.53/8.76 ( g_both(sk_A, sk_B_6)) & 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42)))), 8.53/8.76 inference('sup-', [status(thm)], ['3', '8'])). 8.53/8.76 tff('612', plain, 8.53/8.76 (![X0]: ~ g_true_only(sk_A, X0)) 8.53/8.76 <= ((![X33]: h_false_only(sk_A, X33)) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.76 inference('sup-', [status(thm)], ['224', '225'])). 8.53/8.76 tff('613', plain, 8.53/8.76 ~ ( g_both(sk_A, sk_B_6)) | ~ (![X33]: h_false_only(sk_A, X33)) | 8.53/8.76 ~ 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) | 8.53/8.76 ~ 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42))), 8.53/8.76 inference('sup-', [status(thm)], ['611', '612'])). 8.53/8.76 tff('614', plain, 8.53/8.76 ( g_true_only(sk_A, sk_B_7)) <= (( g_true_only(sk_A, sk_B_7))), 8.53/8.76 inference('split', [status(esa)], ['222'])). 8.53/8.76 tff('615', plain, 8.53/8.76 (![X27]: ~ g_true_only(sk_A, X27)) 8.53/8.76 <= ((![X27]: ~ g_true_only(sk_A, X27))), 8.53/8.76 inference('split', [status(esa)], ['222'])). 8.53/8.76 tff('616', plain, 8.53/8.76 ~ (![X27]: ~ g_true_only(sk_A, X27)) | ~ ( g_true_only(sk_A, sk_B_7)), 8.53/8.76 inference('sup-', [status(thm)], ['614', '615'])). 8.53/8.76 tff('617', plain, 8.53/8.76 ![X24, X25, X26, X28, X29, X30, X31, X32, X33]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26) 8.53/8.76 | g_true_only(sk_A, sk_B_7) 8.53/8.76 | h_false_only(sk_A, X33) 8.53/8.76 | h_both(sk_A_1, X28) 8.53/8.76 | h_false_only(sk_A_1, X28) 8.53/8.76 | h_false_only(sk_A_1, X28) 8.53/8.76 | h_false_only(X29, X32) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31)), 8.53/8.76 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.76 tff('618', plain, 8.53/8.76 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) | 8.53/8.76 ( g_true_only(sk_A, sk_B_7)) | 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) | 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) | 8.53/8.76 (![X33]: h_false_only(sk_A, X33)), 8.53/8.76 inference('split', [status(esa)], ['617'])). 8.53/8.76 tff('619', plain, 8.53/8.76 (![X0]: h_false(sk_A_1, X0)) 8.53/8.76 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.76 inference('clc', [status(thm)], ['35', '36'])). 8.53/8.76 tff('620', plain, 8.53/8.76 ( g_true_only(sk_A_1, sk_B_9)) <= (( g_true_only(sk_A_1, sk_B_9))), 8.53/8.76 inference('split', [status(esa)], ['222'])). 8.53/8.76 tff('621', plain, 8.53/8.76 (![X0, X1]: ( h_true(X0, sk_B_1(X0)) | ~ g_true_only(X0, X1))) 8.53/8.76 <= ((![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.76 inference('sup-', [status(thm)], ['43', '45'])). 8.53/8.76 tff('622', plain, 8.53/8.76 ( h_true(sk_A_1, sk_B_1(sk_A_1))) 8.53/8.76 <= (( g_true_only(sk_A_1, sk_B_9)) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.76 inference('sup-', [status(thm)], ['620', '621'])). 8.53/8.76 tff('623', plain, 8.53/8.76 ![X19, X20]: 8.53/8.76 ( h_both(X19, X20) | ~ h_true(X19, X20) | ~ h_false(X19, X20)), 8.53/8.76 inference('cnf', [status(esa)], [both_h])). 8.53/8.76 tff('624', plain, 8.53/8.76 ((~ h_false(sk_A_1, sk_B_1(sk_A_1)) | h_both(sk_A_1, sk_B_1(sk_A_1)))) 8.53/8.76 <= (( g_true_only(sk_A_1, sk_B_9)) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.76 inference('sup-', [status(thm)], ['622', '623'])). 8.53/8.76 tff('625', plain, 8.53/8.76 ( h_both(sk_A_1, sk_B_1(sk_A_1))) 8.53/8.76 <= (( g_true_only(sk_A_1, sk_B_9)) & 8.53/8.76 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.76 inference('sup-', [status(thm)], ['619', '624'])). 8.53/8.76 tff('626', plain, 8.53/8.76 ( g_true_only(sk_A_1, sk_B_9)) <= (( g_true_only(sk_A_1, sk_B_9))), 8.53/8.76 inference('split', [status(esa)], ['222'])). 8.53/8.76 tff('627', plain, 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40))) 8.53/8.76 <= ((![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40)))), 8.53/8.76 inference('split', [status(esa)], ['55'])). 8.53/8.76 tff('628', plain, 8.53/8.76 (![X0]: (~ h_both(sk_A_1, X0) | h_true_only(sk_A_1, sk_B(sk_A_1)))) 8.53/8.76 <= (( g_true_only(sk_A_1, sk_B_9)) & 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40)))), 8.53/8.76 inference('sup-', [status(thm)], ['626', '627'])). 8.53/8.76 tff('629', plain, 8.53/8.76 ( h_true_only(sk_A_1, sk_B(sk_A_1))) 8.53/8.76 <= (( g_true_only(sk_A_1, sk_B_9)) & 8.53/8.76 (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) & 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40)))), 8.53/8.76 inference('sup-', [status(thm)], ['625', '628'])). 8.53/8.76 tff('630', plain, 8.53/8.76 (![X0]: ~ h_true_only(sk_A_1, X0)) 8.53/8.76 <= ((![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28)))), 8.53/8.76 inference('sup-', [status(thm)], ['60', '61'])). 8.53/8.76 tff('631', plain, 8.53/8.76 ~ ( g_true_only(sk_A_1, sk_B_9)) | 8.53/8.76 ~ (![X28]: ( h_false_only(sk_A_1, X28) | h_both(sk_A_1, X28))) | 8.53/8.76 ~ 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) | 8.53/8.76 ~ 8.53/8.76 (![X36, X37, X40]: 8.53/8.76 (~ g_true_only(X36, X37) 8.53/8.76 | h_true_only(X36, sk_B(X36)) 8.53/8.76 | ~ h_both(X36, X40))), 8.53/8.76 inference('sup-', [status(thm)], ['629', '630'])). 8.53/8.76 tff('632', plain, 8.53/8.76 ![X24, X25, X26, X28, X29, X30, X31, X32, X33]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26) 8.53/8.76 | g_true_only(sk_A, sk_B_7) 8.53/8.76 | h_false_only(sk_A, X33) 8.53/8.76 | g_true_only(sk_A_1, sk_B_9) 8.53/8.76 | h_false_only(sk_A_1, X28) 8.53/8.76 | h_false_only(X29, X32) 8.53/8.76 | g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31)), 8.53/8.76 inference('cnf', [status(esa)], [zf_stmt_0])). 8.53/8.76 tff('633', plain, 8.53/8.76 (![X28]: h_false_only(sk_A_1, X28)) | ( g_true_only(sk_A_1, sk_B_9)) | 8.53/8.76 (![X24, X25, X26]: 8.53/8.76 ( h_true_only(X24, sk_B_5(X24)) 8.53/8.76 | ~ h_both(X24, X25) 8.53/8.76 | g_true_only(X24, sk_B_4(X24)) 8.53/8.76 | ~ g_both(X24, X26))) | 8.53/8.76 (![X29, X30, X31, X32]: 8.53/8.76 ( g_true_only(X29, sk_B_10(X29)) 8.53/8.76 | ~ h_both(X29, X30) 8.53/8.76 | ~ g_both(X29, X31) 8.53/8.76 | h_true_only(X29, sk_C_1(X29)) 8.53/8.76 | g_false_only(X29, X31) 8.53/8.76 | h_false_only(X29, X32))) | 8.53/8.76 (![X33]: h_false_only(sk_A, X33)) | ( g_true_only(sk_A, sk_B_7)), 8.53/8.76 inference('split', [status(esa)], ['632'])). 8.53/8.76 tff('634', plain, 8.53/8.76 ( g_true_only(sk_A_1, sk_B_2(sk_A_1))) 8.53/8.76 <= ((![X28]: h_false_only(sk_A_1, X28)) & 8.53/8.76 ( g_both(sk_A_1, sk_B_9)) & 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42)))), 8.53/8.76 inference('sup-', [status(thm)], ['248', '251'])). 8.53/8.76 tff('635', plain, 8.53/8.76 (![X28]: h_false_only(sk_A_1, X28)) 8.53/8.76 <= ((![X28]: h_false_only(sk_A_1, X28))), 8.53/8.76 inference('split', [status(esa)], ['222'])). 8.53/8.76 tff('636', plain, 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) 8.53/8.76 <= ((![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.76 inference('split', [status(esa)], ['44'])). 8.53/8.76 tff('637', plain, 8.53/8.76 (![X0]: ~ g_true_only(sk_A_1, X0)) 8.53/8.76 <= ((![X28]: h_false_only(sk_A_1, X28)) & 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37)))), 8.53/8.76 inference('sup-', [status(thm)], ['635', '636'])). 8.53/8.76 tff('638', plain, 8.53/8.76 ~ (![X28]: h_false_only(sk_A_1, X28)) | ~ ( g_both(sk_A_1, sk_B_9)) | 8.53/8.76 ~ 8.53/8.76 (![X36, X37]: 8.53/8.76 (~ h_false_only(X36, sk_B_1(X36)) | ~ g_true_only(X36, X37))) | 8.53/8.76 ~ 8.53/8.76 (![X41, X42]: 8.53/8.76 (~ h_false_only(X41, sk_B_3(X41)) 8.53/8.76 | g_true_only(X41, sk_B_2(X41)) 8.53/8.76 | ~ g_both(X41, X42))), 8.53/8.76 inference('sup-', [status(thm)], ['634', '637'])). 8.53/8.76 tff('639', plain, $false, 8.53/8.76 inference('sat_resolution*', [status(thm)], 8.53/8.76 ['1', '14', '100', '166', '219', '221', '227', '243', '245', 8.53/8.76 '247', '256', '296', '329', '330', '332', '334', '336', 8.53/8.76 '338', '340', '342', '344', '349', '351', '384', '386', 8.53/8.76 '388', '417', '424', '426', '436', '462', '463', '465', 8.53/8.76 '467', '476', '477', '492', '507', '516', '517', '519', 8.53/8.76 '521', '530', '541', '544', '545', '547', '574', '575', 8.53/8.76 '576', '603', '605', '610', '613', '616', '618', '631', 8.53/8.76 '633', '638'])). 8.53/8.76 8.53/8.76 % SZS output end Refutation 8.53/8.76 8.53/8.76 % Zipperpin 1.5 exiting 8.53/8.76 EOF