0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Vu8dE8n7Pf true 0.13/0.34 % Computer : n016.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 11:52:38 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 120 s 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.20/0.35 % Running in FO mode 0.54/0.65 % Total configuration time : 435 0.54/0.65 % Estimated wc time : 845 0.54/0.65 % Estimated cpu time (7 cpus) : 120.71428571428571 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 58s 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 58s 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 58s 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 49s 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 39s 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 39s 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 39s 4.23/1.23 % Solved by fo/fo1_av.sh. 4.23/1.23 % done 1621 iterations in 0.460s 4.23/1.23 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 4.23/1.23 % SZS output start Refutation 4.23/1.23 thf(sk__3_type, type, sk__3: $i). 4.23/1.23 thf(h_both_type, type, h_both: $i > $i > $o). 4.23/1.23 thf(h_false_only_type, type, h_false_only: $i > $i > $o). 4.23/1.23 thf(g_both_type, type, g_both: $i > $i > $o). 4.23/1.23 thf(sk__11_type, type, sk__11: $i). 4.23/1.23 thf(h_true_type, type, h_true: $i > $i > $o). 4.23/1.23 thf(sk__18_type, type, sk__18: $i > $i > $i). 4.23/1.23 thf(sk__type, type, sk_: $i). 4.23/1.23 thf(sk__2_type, type, sk__2: $i). 4.23/1.23 thf(g_true_type, type, g_true: $i > $i > $o). 4.23/1.23 thf(g_false_only_type, type, g_false_only: $i > $i > $o). 4.23/1.23 thf(g_true_only_type, type, g_true_only: $i > $i > $o). 4.23/1.23 thf(sk__16_type, type, sk__16: $i > $i). 4.23/1.23 thf(sk__10_type, type, sk__10: $i). 4.23/1.23 thf(sk__17_type, type, sk__17: $i > $i). 4.23/1.23 thf(sk__8_type, type, sk__8: $i). 4.23/1.23 thf(h_false_type, type, h_false: $i > $i > $o). 4.23/1.23 thf(sk__9_type, type, sk__9: $i). 4.23/1.23 thf(sk__6_type, type, sk__6: $i > $i). 4.23/1.23 thf(sk__14_type, type, sk__14: $i > $i). 4.23/1.23 thf(sk__7_type, type, sk__7: $i > $i). 4.23/1.23 thf(sk__15_type, type, sk__15: $i > $i). 4.23/1.23 thf(sk__12_type, type, sk__12: $i). 4.23/1.23 thf(h_true_only_type, type, h_true_only: $i > $i > $o). 4.23/1.23 thf(sk__1_type, type, sk__1: $i). 4.23/1.23 thf(sk__4_type, type, sk__4: $i > $i). 4.23/1.23 thf(sk__13_type, type, sk__13: $i). 4.23/1.23 thf(sk__5_type, type, sk__5: $i > $i). 4.23/1.23 thf(g_false_type, type, g_false: $i > $i > $o). 4.23/1.23 thf(nc5, conjecture, 4.23/1.23 (( ( ![A:$i]: 4.23/1.23 ( ( ?[B:$i]: ( h_true_only @ A @ B ) ) | 4.23/1.23 ( ![B:$i]: ( g_false_only @ A @ B ) ) ) ) & 4.23/1.23 ( ![A:$i,B:$i]: 4.23/1.23 ( ?[C:$i]: ( ( h_true_only @ A @ C ) | ( g_false_only @ A @ B ) ) ) ) ) | 4.23/1.23 ( ( ?[A:$i]: 4.23/1.23 ( ( ?[B:$i]: ( g_both @ A @ B ) ) & ( ?[B:$i]: ( h_both @ A @ B ) ) & 4.23/1.23 ( ~( ?[B:$i]: ( h_true_only @ A @ B ) ) ) & 4.23/1.23 ( ~( ?[B:$i]: ( g_true_only @ A @ B ) ) ) ) ) & 4.23/1.23 ( ?[A:$i]: 4.23/1.23 ( ( ~( ?[B:$i]: 4.23/1.23 ( ![C:$i]: 4.23/1.23 ( ( ( h_false_only @ A @ C ) & ( g_both @ A @ B ) ) | 4.23/1.23 ( ( ( h_false_only @ A @ C ) | ( h_both @ A @ C ) ) & 4.23/1.23 ( g_true_only @ A @ B ) ) ) ) ) ) & 4.23/1.23 ( ?[B:$i]: 4.23/1.23 ( ( ?[C:$i]: ( ( g_both @ A @ B ) & ( h_both @ A @ C ) ) ) & 4.23/1.23 ( ~( ?[C:$i]: 4.23/1.23 ( ( g_false_only @ A @ B ) | ( h_true_only @ A @ C ) ) ) ) ) ) ) ) & 4.23/1.23 ( ~( ?[A:$i,B:$i]: 4.23/1.23 ( ![C:$i]: 4.23/1.23 ( ( ( ( h_false_only @ A @ C ) | ( h_both @ A @ C ) ) & 4.23/1.23 ( g_true_only @ A @ B ) ) | 4.23/1.23 ( ( g_both @ A @ B ) & ( h_false_only @ A @ C ) ) ) ) ) ) & 4.23/1.23 ( ~( ?[A:$i]: 4.23/1.23 ( ( ( ~( ?[B:$i]: ( g_true_only @ A @ B ) ) ) & 4.23/1.23 ( ![B:$i]: ( h_false_only @ A @ B ) ) & 4.23/1.23 ( ?[B:$i]: ( g_both @ A @ B ) ) ) | 4.23/1.23 ( ( ( ( ?[B:$i]: ( h_both @ A @ B ) ) & 4.23/1.23 ( ~( ?[B:$i]: ( h_true_only @ A @ B ) ) ) ) | 4.23/1.23 ( ![B:$i]: ( h_false_only @ A @ B ) ) ) & 4.23/1.23 ( ?[B:$i]: ( g_true_only @ A @ B ) ) ) ) ) ) ) | 4.23/1.23 ( ( ?[A:$i]: 4.23/1.23 ( ( ( ?[B:$i]: ( g_true_only @ A @ B ) ) & 4.23/1.23 ( ( ( ?[B:$i]: ( h_both @ A @ B ) ) & 4.23/1.23 ( ~( ?[B:$i]: ( h_true_only @ A @ B ) ) ) ) | 4.23/1.23 ( ![B:$i]: ( h_false_only @ A @ B ) ) ) ) | 4.23/1.23 ( ( ![B:$i]: ( h_false_only @ A @ B ) ) & 4.23/1.23 ( ~( ?[B:$i]: ( g_true_only @ A @ B ) ) ) & 4.23/1.23 ( ?[B:$i]: ( g_both @ A @ B ) ) ) ) ) & 4.23/1.23 ( ?[A:$i,B:$i]: 4.23/1.23 ( ![C:$i]: 4.23/1.23 ( ( ( g_true_only @ A @ B ) & 4.23/1.23 ( ( h_both @ A @ C ) | ( h_false_only @ A @ C ) ) ) | 4.23/1.23 ( ( h_false_only @ A @ C ) & ( g_both @ A @ B ) ) ) ) ) ))). 4.23/1.23 thf(zf_stmt_0, negated_conjecture, 4.23/1.23 (~( ( ( ![A:$i]: 4.23/1.23 ( ( ?[B:$i]: ( h_true_only @ A @ B ) ) | 4.23/1.23 ( ![B:$i]: ( g_false_only @ A @ B ) ) ) ) & 4.23/1.23 ( ![A:$i,B:$i]: 4.23/1.23 ( ?[C:$i]: ( ( h_true_only @ A @ C ) | ( g_false_only @ A @ B ) ) ) ) ) | 4.23/1.23 ( ( ?[A:$i]: 4.23/1.23 ( ( ?[B:$i]: ( g_both @ A @ B ) ) & 4.23/1.23 ( ?[B:$i]: ( h_both @ A @ B ) ) & 4.23/1.23 ( ~( ?[B:$i]: ( h_true_only @ A @ B ) ) ) & 4.23/1.23 ( ~( ?[B:$i]: ( g_true_only @ A @ B ) ) ) ) ) & 4.23/1.23 ( ?[A:$i]: 4.23/1.23 ( ( ~( ?[B:$i]: 4.23/1.23 ( ![C:$i]: 4.23/1.23 ( ( ( h_false_only @ A @ C ) & ( g_both @ A @ B ) ) | 4.23/1.23 ( ( ( h_false_only @ A @ C ) | ( h_both @ A @ C ) ) & 4.23/1.23 ( g_true_only @ A @ B ) ) ) ) ) ) & 4.23/1.23 ( ?[B:$i]: 4.23/1.23 ( ( ?[C:$i]: ( ( g_both @ A @ B ) & ( h_both @ A @ C ) ) ) & 4.23/1.23 ( ~( ?[C:$i]: 4.23/1.23 ( ( g_false_only @ A @ B ) | ( h_true_only @ A @ C ) ) ) ) ) ) ) ) & 4.23/1.23 ( ~( ?[A:$i,B:$i]: 4.23/1.23 ( ![C:$i]: 4.23/1.23 ( ( ( ( h_false_only @ A @ C ) | ( h_both @ A @ C ) ) & 4.23/1.23 ( g_true_only @ A @ B ) ) | 4.23/1.23 ( ( g_both @ A @ B ) & ( h_false_only @ A @ C ) ) ) ) ) ) & 4.23/1.23 ( ~( ?[A:$i]: 4.23/1.23 ( ( ( ~( ?[B:$i]: ( g_true_only @ A @ B ) ) ) & 4.23/1.23 ( ![B:$i]: ( h_false_only @ A @ B ) ) & 4.23/1.23 ( ?[B:$i]: ( g_both @ A @ B ) ) ) | 4.23/1.23 ( ( ( ( ?[B:$i]: ( h_both @ A @ B ) ) & 4.23/1.23 ( ~( ?[B:$i]: ( h_true_only @ A @ B ) ) ) ) | 4.23/1.23 ( ![B:$i]: ( h_false_only @ A @ B ) ) ) & 4.23/1.23 ( ?[B:$i]: ( g_true_only @ A @ B ) ) ) ) ) ) ) | 4.23/1.23 ( ( ?[A:$i]: 4.23/1.23 ( ( ( ?[B:$i]: ( g_true_only @ A @ B ) ) & 4.23/1.23 ( ( ( ?[B:$i]: ( h_both @ A @ B ) ) & 4.23/1.23 ( ~( ?[B:$i]: ( h_true_only @ A @ B ) ) ) ) | 4.23/1.23 ( ![B:$i]: ( h_false_only @ A @ B ) ) ) ) | 4.23/1.23 ( ( ![B:$i]: ( h_false_only @ A @ B ) ) & 4.23/1.23 ( ~( ?[B:$i]: ( g_true_only @ A @ B ) ) ) & 4.23/1.23 ( ?[B:$i]: ( g_both @ A @ B ) ) ) ) ) & 4.23/1.23 ( ?[A:$i,B:$i]: 4.23/1.23 ( ![C:$i]: 4.23/1.23 ( ( ( g_true_only @ A @ B ) & 4.23/1.23 ( ( h_both @ A @ C ) | ( h_false_only @ A @ C ) ) ) | 4.23/1.23 ( ( h_false_only @ A @ C ) & ( g_both @ A @ B ) ) ) ) ) ) )), 4.23/1.23 inference('cnf.neg', [status(esa)], [nc5])). 4.23/1.23 thf(zip_derived_cl28, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X15 : $i, X16 : $i, X18 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (h_both @ sk__8 @ X18) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | ~ (h_true_only @ sk__10 @ X15) 4.23/1.23 | ~ (g_true_only @ sk__10 @ X16))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl259, plain, 4.23/1.23 ((![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) 4.23/1.23 <= ((![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl28])). 4.23/1.23 thf(zip_derived_cl10, plain, 4.23/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X0 @ (sk__15 @ X0)) 4.23/1.23 | ~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl177, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl10])). 4.23/1.23 thf(zip_derived_cl1269, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ (sk__18 @ X0 @ sk__8)) 4.23/1.23 | ~ (g_true_only @ sk__8 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl259, zip_derived_cl177])). 4.23/1.23 thf(zip_derived_cl11, plain, 4.23/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X0 @ (sk__15 @ X0)) 4.23/1.23 | ~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl179, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl11])). 4.23/1.23 thf(zip_derived_cl1308, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 (~ (g_true_only @ sk__8 @ X0) | ~ (g_true_only @ sk__8 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1269, zip_derived_cl179])). 4.23/1.23 thf(zip_derived_cl1311, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__8 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))))), 4.23/1.23 inference('simplify', [status(thm)], [zip_derived_cl1308])). 4.23/1.23 thf(zip_derived_cl19, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X15 : $i, X16 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | ~ (h_true_only @ sk__10 @ X15) 4.23/1.23 | ~ (g_true_only @ sk__10 @ X16))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl200, plain, 4.23/1.23 (( (g_true_only @ sk__8 @ sk__9)) <= (( (g_true_only @ sk__8 @ sk__9)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf('0', plain, 4.23/1.23 (~ ( (g_true_only @ sk__8 @ sk__9)) | 4.23/1.23 ~ 4.23/1.23 (![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2))))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1311, zip_derived_cl200])). 4.23/1.23 thf(zip_derived_cl164, plain, 4.23/1.23 (![X19 : $i, X20 : $i]: 4.23/1.23 (~ (h_true_only @ sk_ @ X19) | ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl1121, plain, 4.23/1.23 ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) 4.23/1.23 <= ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl164])). 4.23/1.23 thf(exhaustion_h, axiom, 4.23/1.23 (![X_2:$i,X_1:$i]: 4.23/1.23 ( ( h_true_only @ X_2 @ X_1 ) | ( h_both @ X_2 @ X_1 ) | 4.23/1.23 ( h_false_only @ X_2 @ X_1 ) ))). 4.23/1.23 thf(zip_derived_cl167, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 ( (h_true_only @ X0 @ X1) 4.23/1.23 | (h_both @ X0 @ X1) 4.23/1.23 | (h_false_only @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [exhaustion_h])). 4.23/1.23 thf(zip_derived_cl1140, plain, 4.23/1.23 ((![X0 : $i]: ( (h_both @ sk__2 @ X0) | (h_false_only @ sk__2 @ X0))) 4.23/1.23 <= ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1121, zip_derived_cl167])). 4.23/1.23 thf(zip_derived_cl177, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl10])). 4.23/1.23 thf(zip_derived_cl1444, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__2 @ (sk__18 @ X0 @ sk__2)) 4.23/1.23 | ~ (g_true_only @ sk__2 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1140, zip_derived_cl177])). 4.23/1.23 thf(zip_derived_cl179, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl11])). 4.23/1.23 thf(zip_derived_cl1625, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 (~ (g_true_only @ sk__2 @ X0) | ~ (g_true_only @ sk__2 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1444, zip_derived_cl179])). 4.23/1.23 thf(zip_derived_cl1628, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('simplify', [status(thm)], [zip_derived_cl1625])). 4.23/1.23 thf(zip_derived_cl163, plain, 4.23/1.23 (![X19 : $i]: 4.23/1.23 (~ (h_true_only @ sk_ @ X19) | ~ (g_false_only @ sk__2 @ sk__3))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl1120, plain, 4.23/1.23 ((~ (g_false_only @ sk__2 @ sk__3)) 4.23/1.23 <= (~ ( (g_false_only @ sk__2 @ sk__3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl163])). 4.23/1.23 thf(exhaustion_g, axiom, 4.23/1.23 (![X_2:$i,X_1:$i]: 4.23/1.23 ( ( g_both @ X_2 @ X_1 ) | ( g_false_only @ X_2 @ X_1 ) | 4.23/1.23 ( g_true_only @ X_2 @ X_1 ) ))). 4.23/1.23 thf(zip_derived_cl9, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 ( (g_both @ X0 @ X1) 4.23/1.23 | (g_false_only @ X0 @ X1) 4.23/1.23 | (g_true_only @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [exhaustion_g])). 4.23/1.23 thf(zip_derived_cl1142, plain, 4.23/1.23 ((( (g_both @ sk__2 @ sk__3) | (g_true_only @ sk__2 @ sk__3))) 4.23/1.23 <= (~ ( (g_false_only @ sk__2 @ sk__3)))), 4.23/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl1120, zip_derived_cl9])). 4.23/1.23 thf(zip_derived_cl1447, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ sk__3)) <= (( (g_true_only @ sk__2 @ sk__3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1142])). 4.23/1.23 thf('1', plain, 4.23/1.23 (~ ( (g_true_only @ sk__2 @ sk__3)) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2))))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1628, zip_derived_cl1447])). 4.23/1.23 thf(zip_derived_cl1448, plain, 4.23/1.23 (( (g_both @ sk__2 @ sk__3)) <= (( (g_both @ sk__2 @ sk__3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1142])). 4.23/1.23 thf(zip_derived_cl55, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X15 : $i, X16 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (h_both @ X10 @ X13) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | ~ (h_true_only @ sk__10 @ X15) 4.23/1.23 | ~ (g_true_only @ sk__10 @ X16))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl428, plain, 4.23/1.23 ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (h_both @ X10 @ X13))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (h_both @ X10 @ X13))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl55])). 4.23/1.23 thf(both_g, axiom, 4.23/1.23 (![X_2:$i,X_1:$i]: 4.23/1.23 ( ( g_both @ X_2 @ X_1 ) <=> 4.23/1.23 ( ( g_true @ X_2 @ X_1 ) & ( g_false @ X_2 @ X_1 ) ) ))). 4.23/1.23 thf(zip_derived_cl174, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: ( (g_true @ X0 @ X1) | ~ (g_both @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [both_g])). 4.23/1.23 thf(false_only_g, axiom, 4.23/1.23 (![X_2:$i,X_1:$i]: 4.23/1.23 ( ( ( ~( g_true @ X_2 @ X_1 ) ) & ( g_false @ X_2 @ X_1 ) ) <=> 4.23/1.23 ( g_false_only @ X_2 @ X_1 ) ))). 4.23/1.23 thf(zip_derived_cl1, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: (~ (g_true @ X0 @ X1) | ~ (g_false_only @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [false_only_g])). 4.23/1.23 thf(zip_derived_cl1177, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: (~ (g_both @ X1 @ X0) | ~ (g_false_only @ X1 @ X0))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl1])). 4.23/1.23 thf(zip_derived_cl1596, plain, 4.23/1.23 ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 ( (h_both @ X10 @ X13) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | ~ (h_both @ X10 @ X11))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (h_both @ X10 @ X13))))), 4.23/1.23 inference('clc', [status(thm)], [zip_derived_cl428, zip_derived_cl1177])). 4.23/1.23 thf(zip_derived_cl1598, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 ( (h_both @ sk__2 @ X0) 4.23/1.23 | (h_false_only @ sk__2 @ X0) 4.23/1.23 | (h_true_only @ sk__2 @ (sk__7 @ sk__2)) 4.23/1.23 | ~ (h_both @ sk__2 @ X1))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (h_both @ X10 @ X13))) & 4.23/1.23 ( (g_both @ sk__2 @ sk__3)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1448, zip_derived_cl1596])). 4.23/1.23 thf(zip_derived_cl1759, plain, 4.23/1.23 ((![X0 : $i]: ( (h_both @ sk__2 @ X0) | (h_false_only @ sk__2 @ X0))) 4.23/1.23 <= ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__2 @ X0) | (h_false_only @ sk__2 @ X0))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1598])). 4.23/1.23 thf(zip_derived_cl1448, plain, 4.23/1.23 (( (g_both @ sk__2 @ sk__3)) <= (( (g_both @ sk__2 @ sk__3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1142])). 4.23/1.23 thf(zip_derived_cl16, plain, 4.23/1.23 (![X2 : $i, X3 : $i, X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)) 4.23/1.23 | ~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl189, plain, 4.23/1.23 ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) 4.23/1.23 <= ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl16])). 4.23/1.23 thf(zip_derived_cl1451, plain, 4.23/1.23 ((( (g_true_only @ sk__2 @ (sk__17 @ sk__2)) 4.23/1.23 | ~ (h_false_only @ sk__2 @ (sk__16 @ sk__2)))) 4.23/1.23 <= ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) & 4.23/1.23 ( (g_both @ sk__2 @ sk__3)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1448, zip_derived_cl189])). 4.23/1.23 thf(zip_derived_cl1507, plain, 4.23/1.23 ((~ (h_false_only @ sk__2 @ (sk__16 @ sk__2))) 4.23/1.23 <= (~ ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1451])). 4.23/1.23 thf(zip_derived_cl1767, plain, 4.23/1.23 (( (h_both @ sk__2 @ (sk__16 @ sk__2))) 4.23/1.23 <= (~ ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))) & 4.23/1.23 (![X0 : $i]: 4.23/1.23 ( (h_both @ sk__2 @ X0) | (h_false_only @ sk__2 @ X0))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1759, zip_derived_cl1507])). 4.23/1.23 thf(zip_derived_cl91, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X14 : $i, 4.23/1.23 X15 : $i, X16 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (g_both @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | ~ (h_true_only @ sk__10 @ X15) 4.23/1.23 | ~ (g_true_only @ sk__10 @ X16))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl659, plain, 4.23/1.23 ((![X10 : $i, X11 : $i, X12 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ X10 @ (sk__6 @ X10)))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ X10 @ (sk__6 @ X10)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl91])). 4.23/1.23 thf(zip_derived_cl1177, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: (~ (g_both @ X1 @ X0) | ~ (g_false_only @ X1 @ X0))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl1])). 4.23/1.23 thf(zip_derived_cl1875, plain, 4.23/1.23 ((![X10 : $i, X11 : $i, X12 : $i]: 4.23/1.23 ( (g_both @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | ~ (h_both @ X10 @ X11))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ X10 @ (sk__6 @ X10)))))), 4.23/1.23 inference('clc', [status(thm)], [zip_derived_cl659, zip_derived_cl1177])). 4.23/1.23 thf(zip_derived_cl1885, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (g_both @ sk__2 @ (sk__6 @ sk__2)) 4.23/1.23 | (g_true_only @ sk__2 @ (sk__6 @ sk__2)) 4.23/1.23 | (h_true_only @ sk__2 @ (sk__7 @ sk__2)) 4.23/1.23 | ~ (g_both @ sk__2 @ X0))) 4.23/1.23 <= (~ ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))) & 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ X10 @ (sk__6 @ X10)))) & 4.23/1.23 (![X0 : $i]: 4.23/1.23 ( (h_both @ sk__2 @ X0) | (h_false_only @ sk__2 @ X0))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1767, zip_derived_cl1875])). 4.23/1.23 thf(zip_derived_cl1947, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ (sk__6 @ sk__2))) 4.23/1.23 <= (( (g_true_only @ sk__2 @ (sk__6 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1885])). 4.23/1.23 thf(zip_derived_cl1628, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('simplify', [status(thm)], [zip_derived_cl1625])). 4.23/1.23 thf('2', plain, 4.23/1.23 (~ ( (g_true_only @ sk__2 @ (sk__6 @ sk__2))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1947, zip_derived_cl1628])). 4.23/1.23 thf(zip_derived_cl15, plain, 4.23/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 4.23/1.23 ( (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4) 4.23/1.23 | ~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('3', plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) | 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl15])). 4.23/1.23 thf(zip_derived_cl167, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 ( (h_true_only @ X0 @ X1) 4.23/1.23 | (h_both @ X0 @ X1) 4.23/1.23 | (h_false_only @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [exhaustion_h])). 4.23/1.23 thf(zip_derived_cl195, plain, 4.23/1.23 ((![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)) 4.23/1.23 <= ((![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl1136, plain, 4.23/1.23 ((![X0 : $i]: ( (h_false_only @ sk__10 @ X0) | (h_both @ sk__10 @ X0))) 4.23/1.23 <= ((![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl195])). 4.23/1.23 thf(zip_derived_cl177, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl10])). 4.23/1.23 thf(zip_derived_cl1422, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__10 @ (sk__18 @ X0 @ sk__10)) 4.23/1.23 | ~ (g_true_only @ sk__10 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1136, zip_derived_cl177])). 4.23/1.23 thf(zip_derived_cl179, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl11])). 4.23/1.23 thf(zip_derived_cl1554, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 (~ (g_true_only @ sk__10 @ X0) | ~ (g_true_only @ sk__10 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1422, zip_derived_cl179])). 4.23/1.23 thf(zip_derived_cl1557, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__10 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)))), 4.23/1.23 inference('simplify', [status(thm)], [zip_derived_cl1554])). 4.23/1.23 thf(zip_derived_cl25, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X16 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__10 @ sk__13) 4.23/1.23 | ~ (g_true_only @ sk__10 @ X16))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl240, plain, 4.23/1.23 (( (g_true_only @ sk__10 @ sk__13)) 4.23/1.23 <= (( (g_true_only @ sk__10 @ sk__13)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl25])). 4.23/1.23 thf('4', plain, 4.23/1.23 (~ ( (g_true_only @ sk__10 @ sk__13)) | 4.23/1.23 ~ (![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2))))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1557, zip_derived_cl240])). 4.23/1.23 thf(zip_derived_cl14, plain, 4.23/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 4.23/1.23 ( (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4) 4.23/1.23 | ~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('5', plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl14])). 4.23/1.23 thf(zip_derived_cl1140, plain, 4.23/1.23 ((![X0 : $i]: ( (h_both @ sk__2 @ X0) | (h_false_only @ sk__2 @ X0))) 4.23/1.23 <= ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1121, zip_derived_cl167])). 4.23/1.23 thf(zip_derived_cl178, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) 4.23/1.23 <= ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X0 @ (sk__15 @ X0)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl10])). 4.23/1.23 thf(zip_derived_cl1443, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__2 @ (sk__15 @ sk__2)) | ~ (g_true_only @ sk__2 @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1140, zip_derived_cl178])). 4.23/1.23 thf(zip_derived_cl1481, plain, 4.23/1.23 (( (h_both @ sk__2 @ (sk__15 @ sk__2))) 4.23/1.23 <= (( (h_both @ sk__2 @ (sk__15 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1443])). 4.23/1.23 thf(zip_derived_cl198, plain, 4.23/1.23 ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) 4.23/1.23 <= ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl1486, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__5 @ sk__2)) 4.23/1.23 | (h_true_only @ sk__2 @ (sk__4 @ sk__2)) 4.23/1.23 | ~ (g_both @ sk__2 @ X0))) 4.23/1.23 <= ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 ( (h_both @ sk__2 @ (sk__15 @ sk__2))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1481, zip_derived_cl198])). 4.23/1.23 thf('6', plain, 4.23/1.23 (~ ( (h_both @ sk__2 @ (sk__15 @ sk__2))) | 4.23/1.23 (![X0 : $i]: ~ (g_both @ sk__2 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__5 @ sk__2))) | 4.23/1.23 ( (h_true_only @ sk__2 @ (sk__4 @ sk__2)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1486])). 4.23/1.23 thf(zip_derived_cl1684, plain, 4.23/1.23 (( (h_true_only @ sk__2 @ (sk__4 @ sk__2))) 4.23/1.23 <= (( (h_true_only @ sk__2 @ (sk__4 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1486])). 4.23/1.23 thf(zip_derived_cl1121, plain, 4.23/1.23 ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) 4.23/1.23 <= ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl164])). 4.23/1.23 thf('7', plain, 4.23/1.23 (~ ( (h_true_only @ sk__2 @ (sk__4 @ sk__2))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1684, zip_derived_cl1121])). 4.23/1.23 thf(zip_derived_cl40, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X16 : $i, X18 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | (h_both @ sk__10 @ sk__12) 4.23/1.23 | ~ (g_true_only @ sk__10 @ X16))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('8', plain, 4.23/1.23 (( (h_both @ sk__10 @ sk__12)) | 4.23/1.23 (![X18 : $i]: (h_false_only @ sk__8 @ X18)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14)) | 4.23/1.23 (![X16 : $i]: ~ (g_true_only @ sk__10 @ X16)) | 4.23/1.23 ( (g_true_only @ sk__8 @ sk__9))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl40])). 4.23/1.23 thf(zip_derived_cl32, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X17 : $i, X18 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (h_both @ sk__8 @ X18) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | (h_both @ sk__10 @ sk__12) 4.23/1.23 | (h_false_only @ sk__10 @ X17))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('9', plain, 4.23/1.23 (( (h_both @ sk__10 @ sk__12)) | 4.23/1.23 (![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14)) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 ( (g_both @ sk__8 @ sk__9))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl32])). 4.23/1.23 thf(zip_derived_cl259, plain, 4.23/1.23 ((![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) 4.23/1.23 <= ((![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl28])). 4.23/1.23 thf(zip_derived_cl178, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) 4.23/1.23 <= ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X0 @ (sk__15 @ X0)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl10])). 4.23/1.23 thf(zip_derived_cl1268, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ (sk__15 @ sk__8)) | ~ (g_true_only @ sk__8 @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) & 4.23/1.23 (![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl259, zip_derived_cl178])). 4.23/1.23 thf('10', plain, 4.23/1.23 (( (h_both @ sk__8 @ (sk__15 @ sk__8))) | 4.23/1.23 (![X0 : $i]: ~ (g_true_only @ sk__8 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1268])). 4.23/1.23 thf(zip_derived_cl1295, plain, 4.23/1.23 (( (h_both @ sk__8 @ (sk__15 @ sk__8))) 4.23/1.23 <= (( (h_both @ sk__8 @ (sk__15 @ sk__8))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1268])). 4.23/1.23 thf(zip_derived_cl200, plain, 4.23/1.23 (( (g_true_only @ sk__8 @ sk__9)) <= (( (g_true_only @ sk__8 @ sk__9)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl13, plain, 4.23/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 4.23/1.23 ( (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4) 4.23/1.23 | ~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl184, plain, 4.23/1.23 ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl1208, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_true_only @ sk__8 @ (sk__14 @ sk__8)) | ~ (h_both @ sk__8 @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) & 4.23/1.23 ( (g_true_only @ sk__8 @ sk__9)))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl200, zip_derived_cl184])). 4.23/1.23 thf(zip_derived_cl1216, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk__8 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk__8 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1208])). 4.23/1.23 thf('11', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk__8 @ X0)) | 4.23/1.23 ~ ( (h_both @ sk__8 @ (sk__15 @ sk__8)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1295, zip_derived_cl1216])). 4.23/1.23 thf(zip_derived_cl1294, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__8 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (g_true_only @ sk__8 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1268])). 4.23/1.23 thf(zip_derived_cl200, plain, 4.23/1.23 (( (g_true_only @ sk__8 @ sk__9)) <= (( (g_true_only @ sk__8 @ sk__9)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf('12', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (g_true_only @ sk__8 @ X0)) | 4.23/1.23 ~ ( (g_true_only @ sk__8 @ sk__9))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1294, zip_derived_cl200])). 4.23/1.23 thf(zip_derived_cl1480, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1443])). 4.23/1.23 thf(zip_derived_cl1447, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ sk__3)) <= (( (g_true_only @ sk__2 @ sk__3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1142])). 4.23/1.23 thf('13', plain, 4.23/1.23 (~ ( (g_true_only @ sk__2 @ sk__3)) | 4.23/1.23 ~ (![X0 : $i]: ~ (g_true_only @ sk__2 @ X0))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1480, zip_derived_cl1447])). 4.23/1.23 thf(zip_derived_cl165, plain, 4.23/1.23 ((~ (g_false_only @ sk_ @ sk__1) | ~ (g_false_only @ sk__2 @ sk__3))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl1123, plain, 4.23/1.23 ((~ (g_false_only @ sk_ @ sk__1)) <= (~ ( (g_false_only @ sk_ @ sk__1)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl165])). 4.23/1.23 thf(zip_derived_cl9, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 ( (g_both @ X0 @ X1) 4.23/1.23 | (g_false_only @ X0 @ X1) 4.23/1.23 | (g_true_only @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [exhaustion_g])). 4.23/1.23 thf(zip_derived_cl1144, plain, 4.23/1.23 ((( (g_both @ sk_ @ sk__1) | (g_true_only @ sk_ @ sk__1))) 4.23/1.23 <= (~ ( (g_false_only @ sk_ @ sk__1)))), 4.23/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl1123, zip_derived_cl9])). 4.23/1.23 thf(zip_derived_cl1461, plain, 4.23/1.23 (( (g_both @ sk_ @ sk__1)) <= (( (g_both @ sk_ @ sk__1)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1144])). 4.23/1.23 thf(zip_derived_cl189, plain, 4.23/1.23 ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) 4.23/1.23 <= ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl16])). 4.23/1.23 thf(zip_derived_cl1464, plain, 4.23/1.23 ((( (g_true_only @ sk_ @ (sk__17 @ sk_)) 4.23/1.23 | ~ (h_false_only @ sk_ @ (sk__16 @ sk_)))) 4.23/1.23 <= ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) & 4.23/1.23 ( (g_both @ sk_ @ sk__1)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1461, zip_derived_cl189])). 4.23/1.23 thf(zip_derived_cl1531, plain, 4.23/1.23 (( (g_true_only @ sk_ @ (sk__17 @ sk_))) 4.23/1.23 <= (( (g_true_only @ sk_ @ (sk__17 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1464])). 4.23/1.23 thf(zip_derived_cl1119, plain, 4.23/1.23 ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) 4.23/1.23 <= ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl163])). 4.23/1.23 thf(zip_derived_cl167, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 ( (h_true_only @ X0 @ X1) 4.23/1.23 | (h_both @ X0 @ X1) 4.23/1.23 | (h_false_only @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [exhaustion_h])). 4.23/1.23 thf(zip_derived_cl1138, plain, 4.23/1.23 ((![X0 : $i]: ( (h_both @ sk_ @ X0) | (h_false_only @ sk_ @ X0))) 4.23/1.23 <= ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1119, zip_derived_cl167])). 4.23/1.23 thf(zip_derived_cl178, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) 4.23/1.23 <= ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X0 @ (sk__15 @ X0)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl10])). 4.23/1.23 thf(zip_derived_cl1434, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk_ @ (sk__15 @ sk_)) | ~ (g_true_only @ sk_ @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1138, zip_derived_cl178])). 4.23/1.23 thf(zip_derived_cl1476, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk_ @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (g_true_only @ sk_ @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1434])). 4.23/1.23 thf('14', plain, 4.23/1.23 (~ ( (g_true_only @ sk_ @ (sk__17 @ sk_))) | 4.23/1.23 ~ (![X0 : $i]: ~ (g_true_only @ sk_ @ X0))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1531, zip_derived_cl1476])). 4.23/1.23 thf('15', plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl10])). 4.23/1.23 thf('16', plain, 4.23/1.23 ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) | 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl16])). 4.23/1.23 thf('17', plain, 4.23/1.23 ((![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)) | 4.23/1.23 ( (g_both @ sk__8 @ sk__9)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14)) | 4.23/1.23 (![X16 : $i]: ~ (g_true_only @ sk__10 @ X16)) | 4.23/1.23 ( (g_true_only @ sk__8 @ sk__9))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl23, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X17 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | (h_both @ sk__10 @ sk__12) 4.23/1.23 | (h_false_only @ sk__10 @ X17))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('18', plain, 4.23/1.23 (( (g_both @ sk__8 @ sk__9)) | ( (h_both @ sk__10 @ sk__12)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 ( (g_true_only @ sk__8 @ sk__9)) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl23])). 4.23/1.23 thf(zip_derived_cl201, plain, 4.23/1.23 (( (g_both @ sk__8 @ sk__9)) <= (( (g_both @ sk__8 @ sk__9)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl189, plain, 4.23/1.23 ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) 4.23/1.23 <= ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl16])). 4.23/1.23 thf(zip_derived_cl1222, plain, 4.23/1.23 ((( (g_true_only @ sk__8 @ (sk__17 @ sk__8)) 4.23/1.23 | ~ (h_false_only @ sk__8 @ (sk__16 @ sk__8)))) 4.23/1.23 <= ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) & 4.23/1.23 ( (g_both @ sk__8 @ sk__9)))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl189])). 4.23/1.23 thf(zip_derived_cl1225, plain, 4.23/1.23 (( (g_true_only @ sk__8 @ (sk__17 @ sk__8))) 4.23/1.23 <= (( (g_true_only @ sk__8 @ (sk__17 @ sk__8))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1222])). 4.23/1.23 thf(zip_derived_cl37, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X15 : $i, X16 : $i, X18 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | ~ (h_true_only @ sk__10 @ X15) 4.23/1.23 | ~ (g_true_only @ sk__10 @ X16))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl319, plain, 4.23/1.23 ((![X18 : $i]: (h_false_only @ sk__8 @ X18)) 4.23/1.23 <= ((![X18 : $i]: (h_false_only @ sk__8 @ X18)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl37])). 4.23/1.23 thf(zip_derived_cl178, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) 4.23/1.23 <= ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X0 @ (sk__15 @ X0)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl10])). 4.23/1.23 thf(zip_derived_cl1168, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__8 @ X0)) 4.23/1.23 <= ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) & 4.23/1.23 (![X18 : $i]: (h_false_only @ sk__8 @ X18)))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl178])). 4.23/1.23 thf('19', plain, 4.23/1.23 (~ ( (g_true_only @ sk__8 @ (sk__17 @ sk__8))) | 4.23/1.23 ~ (![X18 : $i]: (h_false_only @ sk__8 @ X18)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1225, zip_derived_cl1168])). 4.23/1.23 thf(zip_derived_cl1224, plain, 4.23/1.23 ((~ (h_false_only @ sk__8 @ (sk__16 @ sk__8))) 4.23/1.23 <= (~ ( (h_false_only @ sk__8 @ (sk__16 @ sk__8))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1222])). 4.23/1.23 thf(zip_derived_cl319, plain, 4.23/1.23 ((![X18 : $i]: (h_false_only @ sk__8 @ X18)) 4.23/1.23 <= ((![X18 : $i]: (h_false_only @ sk__8 @ X18)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl37])). 4.23/1.23 thf('20', plain, 4.23/1.23 (( (h_false_only @ sk__8 @ (sk__16 @ sk__8))) | 4.23/1.23 ~ (![X18 : $i]: (h_false_only @ sk__8 @ X18))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1224, zip_derived_cl319])). 4.23/1.23 thf(zip_derived_cl21, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X15 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | ~ (h_true_only @ sk__10 @ X15) 4.23/1.23 | (g_both @ sk__10 @ sk__11))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl213, plain, 4.23/1.23 (( (g_both @ sk__10 @ sk__11)) <= (( (g_both @ sk__10 @ sk__11)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl21])). 4.23/1.23 thf(zip_derived_cl189, plain, 4.23/1.23 ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) 4.23/1.23 <= ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl16])). 4.23/1.23 thf(zip_derived_cl1223, plain, 4.23/1.23 ((( (g_true_only @ sk__10 @ (sk__17 @ sk__10)) 4.23/1.23 | ~ (h_false_only @ sk__10 @ (sk__16 @ sk__10)))) 4.23/1.23 <= ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) & 4.23/1.23 ( (g_both @ sk__10 @ sk__11)))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl189])). 4.23/1.23 thf('21', plain, 4.23/1.23 (~ ( (g_both @ sk__10 @ sk__11)) | 4.23/1.23 ~ ( (h_false_only @ sk__10 @ (sk__16 @ sk__10))) | 4.23/1.23 ~ 4.23/1.23 (![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) | 4.23/1.23 ( (g_true_only @ sk__10 @ (sk__17 @ sk__10)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1223])). 4.23/1.23 thf(zip_derived_cl1229, plain, 4.23/1.23 (( (g_true_only @ sk__10 @ (sk__17 @ sk__10))) 4.23/1.23 <= (( (g_true_only @ sk__10 @ (sk__17 @ sk__10))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1223])). 4.23/1.23 thf(zip_derived_cl196, plain, 4.23/1.23 ((![X14 : $i]: (h_false_only @ sk__10 @ X14)) 4.23/1.23 <= ((![X14 : $i]: (h_false_only @ sk__10 @ X14)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl178, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) 4.23/1.23 <= ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X0 @ (sk__15 @ X0)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl10])). 4.23/1.23 thf(zip_derived_cl1149, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__10 @ X0)) 4.23/1.23 <= ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) & 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14)))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl178])). 4.23/1.23 thf('22', plain, 4.23/1.23 (~ ( (g_true_only @ sk__10 @ (sk__17 @ sk__10))) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) | 4.23/1.23 ~ (![X14 : $i]: (h_false_only @ sk__10 @ X14))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1229, zip_derived_cl1149])). 4.23/1.23 thf(zip_derived_cl1228, plain, 4.23/1.23 ((~ (h_false_only @ sk__10 @ (sk__16 @ sk__10))) 4.23/1.23 <= (~ ( (h_false_only @ sk__10 @ (sk__16 @ sk__10))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1223])). 4.23/1.23 thf(zip_derived_cl196, plain, 4.23/1.23 ((![X14 : $i]: (h_false_only @ sk__10 @ X14)) 4.23/1.23 <= ((![X14 : $i]: (h_false_only @ sk__10 @ X14)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf('23', plain, 4.23/1.23 (( (h_false_only @ sk__10 @ (sk__16 @ sk__10))) | 4.23/1.23 ~ (![X14 : $i]: (h_false_only @ sk__10 @ X14))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1228, zip_derived_cl196])). 4.23/1.23 thf(zip_derived_cl1508, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ (sk__17 @ sk__2))) 4.23/1.23 <= (( (g_true_only @ sk__2 @ (sk__17 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1451])). 4.23/1.23 thf(zip_derived_cl184, plain, 4.23/1.23 ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl1514, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_true_only @ sk__2 @ (sk__14 @ sk__2)) | ~ (h_both @ sk__2 @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) & 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__17 @ sk__2))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1508, zip_derived_cl184])). 4.23/1.23 thf('24', plain, 4.23/1.23 (~ ( (g_true_only @ sk__2 @ (sk__17 @ sk__2))) | 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk__2 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) | 4.23/1.23 ( (h_true_only @ sk__2 @ (sk__14 @ sk__2)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1514])). 4.23/1.23 thf(zip_derived_cl1444, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__2 @ (sk__18 @ X0 @ sk__2)) 4.23/1.23 | ~ (g_true_only @ sk__2 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1140, zip_derived_cl177])). 4.23/1.23 thf(zip_derived_cl1447, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ sk__3)) <= (( (g_true_only @ sk__2 @ sk__3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1142])). 4.23/1.23 thf(zip_derived_cl184, plain, 4.23/1.23 ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl1449, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_true_only @ sk__2 @ (sk__14 @ sk__2)) | ~ (h_both @ sk__2 @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) & 4.23/1.23 ( (g_true_only @ sk__2 @ sk__3)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1447, zip_derived_cl184])). 4.23/1.23 thf(zip_derived_cl1487, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk__2 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk__2 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1449])). 4.23/1.23 thf(zip_derived_cl1626, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) & 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk__2 @ X0)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1444, zip_derived_cl1487])). 4.23/1.23 thf(zip_derived_cl1508, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ (sk__17 @ sk__2))) 4.23/1.23 <= (( (g_true_only @ sk__2 @ (sk__17 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1451])). 4.23/1.23 thf('25', plain, 4.23/1.23 (~ ( (g_true_only @ sk__2 @ (sk__17 @ sk__2))) | 4.23/1.23 ~ (![X0 : $i]: ~ (h_both @ sk__2 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1626, zip_derived_cl1508])). 4.23/1.23 thf(zip_derived_cl1507, plain, 4.23/1.23 ((~ (h_false_only @ sk__2 @ (sk__16 @ sk__2))) 4.23/1.23 <= (~ ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1451])). 4.23/1.23 thf(zip_derived_cl1140, plain, 4.23/1.23 ((![X0 : $i]: ( (h_both @ sk__2 @ X0) | (h_false_only @ sk__2 @ X0))) 4.23/1.23 <= ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1121, zip_derived_cl167])). 4.23/1.23 thf(zip_derived_cl1509, plain, 4.23/1.23 (( (h_both @ sk__2 @ (sk__16 @ sk__2))) 4.23/1.23 <= (~ ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1507, zip_derived_cl1140])). 4.23/1.23 thf(zip_derived_cl1487, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk__2 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk__2 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1449])). 4.23/1.23 thf('26', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk__2 @ X0)) | 4.23/1.23 ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1509, zip_derived_cl1487])). 4.23/1.23 thf(zip_derived_cl1448, plain, 4.23/1.23 (( (g_both @ sk__2 @ sk__3)) <= (( (g_both @ sk__2 @ sk__3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1142])). 4.23/1.23 thf(zip_derived_cl197, plain, 4.23/1.23 ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl1177, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: (~ (g_both @ X1 @ X0) | ~ (g_false_only @ X1 @ X0))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl1])). 4.23/1.23 thf(zip_derived_cl1232, plain, 4.23/1.23 ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 ( (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | ~ (h_both @ X10 @ X11))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))))), 4.23/1.23 inference('clc', [status(thm)], [zip_derived_cl197, zip_derived_cl1177])). 4.23/1.23 thf(zip_derived_cl1452, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__6 @ sk__2)) 4.23/1.23 | (h_false_only @ sk__2 @ X0) 4.23/1.23 | (h_true_only @ sk__2 @ (sk__7 @ sk__2)) 4.23/1.23 | ~ (h_both @ sk__2 @ X1))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) & 4.23/1.23 ( (g_both @ sk__2 @ sk__3)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1448, zip_derived_cl1232])). 4.23/1.23 thf(zip_derived_cl2199, plain, 4.23/1.23 ((![X0 : $i]: (h_false_only @ sk__2 @ X0)) 4.23/1.23 <= ((![X0 : $i]: (h_false_only @ sk__2 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1452])). 4.23/1.23 thf(false_only_h, axiom, 4.23/1.23 (![X_2:$i,X_1:$i]: 4.23/1.23 ( ( ( h_false @ X_2 @ X_1 ) & ( ~( h_true @ X_2 @ X_1 ) ) ) <=> 4.23/1.23 ( h_false_only @ X_2 @ X_1 ) ))). 4.23/1.23 thf(zip_derived_cl173, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: (~ (h_true @ X0 @ X1) | ~ (h_false_only @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [false_only_h])). 4.23/1.23 thf(both_h, axiom, 4.23/1.23 (![X_2:$i,X_1:$i]: 4.23/1.23 ( ( h_both @ X_2 @ X_1 ) <=> 4.23/1.23 ( ( h_false @ X_2 @ X_1 ) & ( h_true @ X_2 @ X_1 ) ) ))). 4.23/1.23 thf(zip_derived_cl169, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: ( (h_true @ X0 @ X1) | ~ (h_both @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [both_h])). 4.23/1.23 thf(zip_derived_cl1172, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: (~ (h_false_only @ X1 @ X0) | ~ (h_both @ X1 @ X0))), 4.23/1.23 inference('s_sup+', [status(thm)], [zip_derived_cl173, zip_derived_cl169])). 4.23/1.23 thf(zip_derived_cl2202, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk__2 @ X0)) 4.23/1.23 <= ((![X0 : $i]: (h_false_only @ sk__2 @ X0)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl2199, zip_derived_cl1172])). 4.23/1.23 thf(zip_derived_cl1509, plain, 4.23/1.23 (( (h_both @ sk__2 @ (sk__16 @ sk__2))) 4.23/1.23 <= (~ ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1507, zip_derived_cl1140])). 4.23/1.23 thf('27', plain, 4.23/1.23 (~ (![X0 : $i]: (h_false_only @ sk__2 @ X0)) | 4.23/1.23 ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl2202, zip_derived_cl1509])). 4.23/1.23 thf(zip_derived_cl1461, plain, 4.23/1.23 (( (g_both @ sk_ @ sk__1)) <= (( (g_both @ sk_ @ sk__1)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1144])). 4.23/1.23 thf(zip_derived_cl1232, plain, 4.23/1.23 ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 ( (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | ~ (h_both @ X10 @ X11))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))))), 4.23/1.23 inference('clc', [status(thm)], [zip_derived_cl197, zip_derived_cl1177])). 4.23/1.23 thf(zip_derived_cl1465, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 ( (g_true_only @ sk_ @ (sk__6 @ sk_)) 4.23/1.23 | (h_false_only @ sk_ @ X0) 4.23/1.23 | (h_true_only @ sk_ @ (sk__7 @ sk_)) 4.23/1.23 | ~ (h_both @ sk_ @ X1))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) & 4.23/1.23 ( (g_both @ sk_ @ sk__1)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1461, zip_derived_cl1232])). 4.23/1.23 thf(zip_derived_cl2247, plain, 4.23/1.23 ((![X0 : $i]: (h_false_only @ sk_ @ X0)) 4.23/1.23 <= ((![X0 : $i]: (h_false_only @ sk_ @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1465])). 4.23/1.23 thf(zip_derived_cl1530, plain, 4.23/1.23 ((~ (h_false_only @ sk_ @ (sk__16 @ sk_))) 4.23/1.23 <= (~ ( (h_false_only @ sk_ @ (sk__16 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1464])). 4.23/1.23 thf('28', plain, 4.23/1.23 (~ (![X0 : $i]: (h_false_only @ sk_ @ X0)) | 4.23/1.23 ( (h_false_only @ sk_ @ (sk__16 @ sk_)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl2247, zip_derived_cl1530])). 4.23/1.23 thf(zip_derived_cl196, plain, 4.23/1.23 ((![X14 : $i]: (h_false_only @ sk__10 @ X14)) 4.23/1.23 <= ((![X14 : $i]: (h_false_only @ sk__10 @ X14)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl177, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl10])). 4.23/1.23 thf(zip_derived_cl1195, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__10 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14)))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl177])). 4.23/1.23 thf(zip_derived_cl240, plain, 4.23/1.23 (( (g_true_only @ sk__10 @ sk__13)) 4.23/1.23 <= (( (g_true_only @ sk__10 @ sk__13)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl25])). 4.23/1.23 thf('29', plain, 4.23/1.23 (~ ( (g_true_only @ sk__10 @ sk__13)) | 4.23/1.23 ~ (![X14 : $i]: (h_false_only @ sk__10 @ X14)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2))))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1195, zip_derived_cl240])). 4.23/1.23 thf(zip_derived_cl1461, plain, 4.23/1.23 (( (g_both @ sk_ @ sk__1)) <= (( (g_both @ sk_ @ sk__1)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1144])). 4.23/1.23 thf(zip_derived_cl1596, plain, 4.23/1.23 ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 ( (h_both @ X10 @ X13) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | ~ (h_both @ X10 @ X11))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (h_both @ X10 @ X13))))), 4.23/1.23 inference('clc', [status(thm)], [zip_derived_cl428, zip_derived_cl1177])). 4.23/1.23 thf(zip_derived_cl1597, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 ( (h_both @ sk_ @ X0) 4.23/1.23 | (h_false_only @ sk_ @ X0) 4.23/1.23 | (h_true_only @ sk_ @ (sk__7 @ sk_)) 4.23/1.23 | ~ (h_both @ sk_ @ X1))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (h_both @ X10 @ X13))) & 4.23/1.23 ( (g_both @ sk_ @ sk__1)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1461, zip_derived_cl1596])). 4.23/1.23 thf(zip_derived_cl1690, plain, 4.23/1.23 ((![X0 : $i]: ( (h_both @ sk_ @ X0) | (h_false_only @ sk_ @ X0))) 4.23/1.23 <= ((![X0 : $i]: ( (h_both @ sk_ @ X0) | (h_false_only @ sk_ @ X0))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1597])). 4.23/1.23 thf(zip_derived_cl1530, plain, 4.23/1.23 ((~ (h_false_only @ sk_ @ (sk__16 @ sk_))) 4.23/1.23 <= (~ ( (h_false_only @ sk_ @ (sk__16 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1464])). 4.23/1.23 thf(zip_derived_cl1698, plain, 4.23/1.23 (( (h_both @ sk_ @ (sk__16 @ sk_))) 4.23/1.23 <= (~ ( (h_false_only @ sk_ @ (sk__16 @ sk_))) & 4.23/1.23 (![X0 : $i]: ( (h_both @ sk_ @ X0) | (h_false_only @ sk_ @ X0))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1690, zip_derived_cl1530])). 4.23/1.23 thf(zip_derived_cl1875, plain, 4.23/1.23 ((![X10 : $i, X11 : $i, X12 : $i]: 4.23/1.23 ( (g_both @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | ~ (h_both @ X10 @ X11))) 4.23/1.23 <= ((![X10 : $i, X11 : $i, X12 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ X10 @ (sk__6 @ X10)))))), 4.23/1.23 inference('clc', [status(thm)], [zip_derived_cl659, zip_derived_cl1177])). 4.23/1.23 thf(zip_derived_cl1878, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (g_both @ sk_ @ (sk__6 @ sk_)) 4.23/1.23 | (g_true_only @ sk_ @ (sk__6 @ sk_)) 4.23/1.23 | (h_true_only @ sk_ @ (sk__7 @ sk_)) 4.23/1.23 | ~ (g_both @ sk_ @ X0))) 4.23/1.23 <= (~ ( (h_false_only @ sk_ @ (sk__16 @ sk_))) & 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ X10 @ (sk__6 @ X10)))) & 4.23/1.23 (![X0 : $i]: ( (h_both @ sk_ @ X0) | (h_false_only @ sk_ @ X0))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1698, zip_derived_cl1875])). 4.23/1.23 thf(zip_derived_cl1916, plain, 4.23/1.23 (( (g_true_only @ sk_ @ (sk__6 @ sk_))) 4.23/1.23 <= (( (g_true_only @ sk_ @ (sk__6 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1878])). 4.23/1.23 thf(zip_derived_cl1138, plain, 4.23/1.23 ((![X0 : $i]: ( (h_both @ sk_ @ X0) | (h_false_only @ sk_ @ X0))) 4.23/1.23 <= ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1119, zip_derived_cl167])). 4.23/1.23 thf(zip_derived_cl177, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl10])). 4.23/1.23 thf(zip_derived_cl1435, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk_ @ (sk__18 @ X0 @ sk_)) | ~ (g_true_only @ sk_ @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1138, zip_derived_cl177])). 4.23/1.23 thf(zip_derived_cl179, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl11])). 4.23/1.23 thf(zip_derived_cl1586, plain, 4.23/1.23 ((![X0 : $i]: (~ (g_true_only @ sk_ @ X0) | ~ (g_true_only @ sk_ @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1435, zip_derived_cl179])). 4.23/1.23 thf(zip_derived_cl1589, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk_ @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('simplify', [status(thm)], [zip_derived_cl1586])). 4.23/1.23 thf('30', plain, 4.23/1.23 (~ ( (g_true_only @ sk_ @ (sk__6 @ sk_))) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1916, zip_derived_cl1589])). 4.23/1.23 thf(zip_derived_cl1589, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk_ @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('simplify', [status(thm)], [zip_derived_cl1586])). 4.23/1.23 thf(zip_derived_cl1531, plain, 4.23/1.23 (( (g_true_only @ sk_ @ (sk__17 @ sk_))) 4.23/1.23 <= (( (g_true_only @ sk_ @ (sk__17 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1464])). 4.23/1.23 thf('31', plain, 4.23/1.23 (~ ( (g_true_only @ sk_ @ (sk__17 @ sk_))) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2))))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1589, zip_derived_cl1531])). 4.23/1.23 thf(zip_derived_cl2199, plain, 4.23/1.23 ((![X0 : $i]: (h_false_only @ sk__2 @ X0)) 4.23/1.23 <= ((![X0 : $i]: (h_false_only @ sk__2 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1452])). 4.23/1.23 thf(zip_derived_cl12, plain, 4.23/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X0 @ (sk__15 @ X0)) 4.23/1.23 | ~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl181, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl12])). 4.23/1.23 thf(zip_derived_cl2205, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_both @ sk__2 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X0 : $i]: (h_false_only @ sk__2 @ X0)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl2199, zip_derived_cl181])). 4.23/1.23 thf(zip_derived_cl1448, plain, 4.23/1.23 (( (g_both @ sk__2 @ sk__3)) <= (( (g_both @ sk__2 @ sk__3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1142])). 4.23/1.23 thf('32', plain, 4.23/1.23 (~ (![X0 : $i]: (h_false_only @ sk__2 @ X0)) | 4.23/1.23 ~ ( (g_both @ sk__2 @ sk__3)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl2205, zip_derived_cl1448])). 4.23/1.23 thf('33', plain, 4.23/1.23 ((![X0 : $i]: (h_false_only @ sk__2 @ X0)) | 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk__2 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 ( (h_true_only @ sk__2 @ (sk__7 @ sk__2))) | 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__6 @ sk__2))) | 4.23/1.23 ~ ( (g_both @ sk__2 @ sk__3))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1452])). 4.23/1.23 thf(zip_derived_cl1140, plain, 4.23/1.23 ((![X0 : $i]: ( (h_both @ sk__2 @ X0) | (h_false_only @ sk__2 @ X0))) 4.23/1.23 <= ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1121, zip_derived_cl167])). 4.23/1.23 thf(zip_derived_cl181, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl12])). 4.23/1.23 thf(zip_derived_cl1445, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__2 @ (sk__18 @ X0 @ sk__2)) | ~ (g_both @ sk__2 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1140, zip_derived_cl181])). 4.23/1.23 thf(zip_derived_cl1487, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk__2 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk__2 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1449])). 4.23/1.23 thf(zip_derived_cl1654, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_both @ sk__2 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) & 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk__2 @ X0)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1445, zip_derived_cl1487])). 4.23/1.23 thf(zip_derived_cl1448, plain, 4.23/1.23 (( (g_both @ sk__2 @ sk__3)) <= (( (g_both @ sk__2 @ sk__3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1142])). 4.23/1.23 thf('34', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk__2 @ X0)) | 4.23/1.23 ~ ( (g_both @ sk__2 @ sk__3)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1654, zip_derived_cl1448])). 4.23/1.23 thf(zip_derived_cl1760, plain, 4.23/1.23 (( (h_true_only @ sk__2 @ (sk__7 @ sk__2))) 4.23/1.23 <= (( (h_true_only @ sk__2 @ (sk__7 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1598])). 4.23/1.23 thf(zip_derived_cl1121, plain, 4.23/1.23 ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) 4.23/1.23 <= ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl164])). 4.23/1.23 thf('35', plain, 4.23/1.23 (~ ( (h_true_only @ sk__2 @ (sk__7 @ sk__2))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1760, zip_derived_cl1121])). 4.23/1.23 thf(zip_derived_cl1947, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ (sk__6 @ sk__2))) 4.23/1.23 <= (( (g_true_only @ sk__2 @ (sk__6 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1885])). 4.23/1.23 thf(zip_derived_cl184, plain, 4.23/1.23 ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl1948, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_true_only @ sk__2 @ (sk__14 @ sk__2)) | ~ (h_both @ sk__2 @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) & 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__6 @ sk__2))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1947, zip_derived_cl184])). 4.23/1.23 thf('36', plain, 4.23/1.23 (~ ( (g_true_only @ sk__2 @ (sk__6 @ sk__2))) | 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk__2 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) | 4.23/1.23 ( (h_true_only @ sk__2 @ (sk__14 @ sk__2)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1948])). 4.23/1.23 thf(zip_derived_cl1916, plain, 4.23/1.23 (( (g_true_only @ sk_ @ (sk__6 @ sk_))) 4.23/1.23 <= (( (g_true_only @ sk_ @ (sk__6 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1878])). 4.23/1.23 thf(zip_derived_cl184, plain, 4.23/1.23 ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl1917, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_true_only @ sk_ @ (sk__14 @ sk_)) | ~ (h_both @ sk_ @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) & 4.23/1.23 ( (g_true_only @ sk_ @ (sk__6 @ sk_))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1916, zip_derived_cl184])). 4.23/1.23 thf('37', plain, 4.23/1.23 (~ ( (g_true_only @ sk_ @ (sk__6 @ sk_))) | 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk_ @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) | 4.23/1.23 ( (h_true_only @ sk_ @ (sk__14 @ sk_)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1917])). 4.23/1.23 thf(zip_derived_cl2247, plain, 4.23/1.23 ((![X0 : $i]: (h_false_only @ sk_ @ X0)) 4.23/1.23 <= ((![X0 : $i]: (h_false_only @ sk_ @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1465])). 4.23/1.23 thf(zip_derived_cl181, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl12])). 4.23/1.23 thf(zip_derived_cl2253, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_both @ sk_ @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X0 : $i]: (h_false_only @ sk_ @ X0)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl2247, zip_derived_cl181])). 4.23/1.23 thf(zip_derived_cl1461, plain, 4.23/1.23 (( (g_both @ sk_ @ sk__1)) <= (( (g_both @ sk_ @ sk__1)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1144])). 4.23/1.23 thf('38', plain, 4.23/1.23 (~ (![X0 : $i]: (h_false_only @ sk_ @ X0)) | 4.23/1.23 ~ ( (g_both @ sk_ @ sk__1)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl2253, zip_derived_cl1461])). 4.23/1.23 thf(zip_derived_cl1691, plain, 4.23/1.23 (( (h_true_only @ sk_ @ (sk__7 @ sk_))) 4.23/1.23 <= (( (h_true_only @ sk_ @ (sk__7 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1597])). 4.23/1.23 thf(zip_derived_cl1119, plain, 4.23/1.23 ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) 4.23/1.23 <= ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl163])). 4.23/1.23 thf('39', plain, 4.23/1.23 (~ ( (h_true_only @ sk_ @ (sk__7 @ sk_))) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1691, zip_derived_cl1119])). 4.23/1.23 thf(zip_derived_cl53, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X17 : $i, X18 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (h_both @ sk__8 @ X18) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (g_true_only @ sk__10 @ sk__13) 4.23/1.23 | (h_false_only @ sk__10 @ X17))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('40', plain, 4.23/1.23 ((![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) | 4.23/1.23 ( (g_true_only @ sk__10 @ sk__13)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl53])). 4.23/1.23 thf(zip_derived_cl240, plain, 4.23/1.23 (( (g_true_only @ sk__10 @ sk__13)) 4.23/1.23 <= (( (g_true_only @ sk__10 @ sk__13)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl25])). 4.23/1.23 thf(zip_derived_cl184, plain, 4.23/1.23 ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl1209, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_true_only @ sk__10 @ (sk__14 @ sk__10)) 4.23/1.23 | ~ (h_both @ sk__10 @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) & 4.23/1.23 ( (g_true_only @ sk__10 @ sk__13)))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl184])). 4.23/1.23 thf(zip_derived_cl1218, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk__10 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk__10 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1209])). 4.23/1.23 thf(zip_derived_cl22, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X16 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | (h_both @ sk__10 @ sk__12) 4.23/1.23 | ~ (g_true_only @ sk__10 @ X16))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf(zip_derived_cl220, plain, 4.23/1.23 (( (h_both @ sk__10 @ sk__12)) <= (( (h_both @ sk__10 @ sk__12)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl22])). 4.23/1.23 thf('41', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk__10 @ X0)) | 4.23/1.23 ~ ( (h_both @ sk__10 @ sk__12))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1218, zip_derived_cl220])). 4.23/1.23 thf(zip_derived_cl20, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X15 : $i, X17 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | ~ (h_true_only @ sk__10 @ X15) 4.23/1.23 | (h_false_only @ sk__10 @ X17))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('42', plain, 4.23/1.23 ((![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)) | 4.23/1.23 ( (g_both @ sk__8 @ sk__9)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 ( (g_true_only @ sk__8 @ sk__9)) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl20])). 4.23/1.23 thf('43', plain, 4.23/1.23 (( (h_both @ sk__10 @ sk__12)) | ( (g_both @ sk__8 @ sk__9)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14)) | 4.23/1.23 (![X16 : $i]: ~ (g_true_only @ sk__10 @ X16)) | 4.23/1.23 ( (g_true_only @ sk__8 @ sk__9))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl22])). 4.23/1.23 thf(zip_derived_cl44, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X17 : $i, X18 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__10 @ sk__13) 4.23/1.23 | (h_false_only @ sk__10 @ X17))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('44', plain, 4.23/1.23 ((![X18 : $i]: (h_false_only @ sk__8 @ X18)) | 4.23/1.23 ( (g_true_only @ sk__10 @ sk__13)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 ( (g_true_only @ sk__8 @ sk__9)) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl44])). 4.23/1.23 thf(zip_derived_cl38, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X15 : $i, X17 : $i, X18 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | ~ (h_true_only @ sk__10 @ X15) 4.23/1.23 | (h_false_only @ sk__10 @ X17))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('45', plain, 4.23/1.23 ((![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)) | 4.23/1.23 (![X18 : $i]: (h_false_only @ sk__8 @ X18)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 ( (g_true_only @ sk__8 @ sk__9)) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl38])). 4.23/1.23 thf(zip_derived_cl1422, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__10 @ (sk__18 @ X0 @ sk__10)) 4.23/1.23 | ~ (g_true_only @ sk__10 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1136, zip_derived_cl177])). 4.23/1.23 thf(zip_derived_cl1218, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk__10 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk__10 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1209])). 4.23/1.23 thf(zip_derived_cl1556, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__10 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)) & 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk__10 @ X0)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1422, zip_derived_cl1218])). 4.23/1.23 thf(zip_derived_cl240, plain, 4.23/1.23 (( (g_true_only @ sk__10 @ sk__13)) 4.23/1.23 <= (( (g_true_only @ sk__10 @ sk__13)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl25])). 4.23/1.23 thf('46', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk__10 @ X0)) | 4.23/1.23 ~ (![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ ( (g_true_only @ sk__10 @ sk__13))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1556, zip_derived_cl240])). 4.23/1.23 thf(zip_derived_cl1219, plain, 4.23/1.23 (( (h_true_only @ sk__10 @ (sk__14 @ sk__10))) 4.23/1.23 <= (( (h_true_only @ sk__10 @ (sk__14 @ sk__10))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1209])). 4.23/1.23 thf(zip_derived_cl172, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: ( (h_false @ X0 @ X1) | ~ (h_false_only @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [false_only_h])). 4.23/1.23 thf(true_only_h, axiom, 4.23/1.23 (![X_2:$i,X_1:$i]: 4.23/1.23 ( ( ( h_true @ X_2 @ X_1 ) & ( ~( h_false @ X_2 @ X_1 ) ) ) <=> 4.23/1.23 ( h_true_only @ X_2 @ X_1 ) ))). 4.23/1.23 thf(zip_derived_cl8, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: (~ (h_false @ X0 @ X1) | ~ (h_true_only @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [true_only_h])). 4.23/1.23 thf(zip_derived_cl1163, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 (~ (h_false_only @ X1 @ X0) | ~ (h_true_only @ X1 @ X0))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl8])). 4.23/1.23 thf(zip_derived_cl1354, plain, 4.23/1.23 ((~ (h_false_only @ sk__10 @ (sk__14 @ sk__10))) 4.23/1.23 <= (( (h_true_only @ sk__10 @ (sk__14 @ sk__10))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1219, zip_derived_cl1163])). 4.23/1.23 thf(zip_derived_cl196, plain, 4.23/1.23 ((![X14 : $i]: (h_false_only @ sk__10 @ X14)) 4.23/1.23 <= ((![X14 : $i]: (h_false_only @ sk__10 @ X14)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf('47', plain, 4.23/1.23 (~ ( (h_true_only @ sk__10 @ (sk__14 @ sk__10))) | 4.23/1.23 ~ (![X14 : $i]: (h_false_only @ sk__10 @ X14))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1354, zip_derived_cl196])). 4.23/1.23 thf(zip_derived_cl1219, plain, 4.23/1.23 (( (h_true_only @ sk__10 @ (sk__14 @ sk__10))) 4.23/1.23 <= (( (h_true_only @ sk__10 @ (sk__14 @ sk__10))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1209])). 4.23/1.23 thf(zip_derived_cl195, plain, 4.23/1.23 ((![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)) 4.23/1.23 <= ((![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf('48', plain, 4.23/1.23 (~ ( (h_true_only @ sk__10 @ (sk__14 @ sk__10))) | 4.23/1.23 ~ (![X15 : $i]: ~ (h_true_only @ sk__10 @ X15))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1219, zip_derived_cl195])). 4.23/1.23 thf(zip_derived_cl47, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X14 : $i, X15 : $i, X17 : $i, X18 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (h_both @ sk__8 @ X18) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (h_false_only @ sk__10 @ X14) 4.23/1.23 | ~ (h_true_only @ sk__10 @ X15) 4.23/1.23 | (h_false_only @ sk__10 @ X17))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('49', plain, 4.23/1.23 ((![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)) | 4.23/1.23 (![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl47])). 4.23/1.23 thf('50', plain, 4.23/1.23 ((![X15 : $i]: ~ (h_true_only @ sk__10 @ X15)) | 4.23/1.23 (![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14)) | 4.23/1.23 (![X16 : $i]: ~ (g_true_only @ sk__10 @ X16)) | 4.23/1.23 ( (g_both @ sk__8 @ sk__9))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl28])). 4.23/1.23 thf(zip_derived_cl175, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: ( (g_false @ X0 @ X1) | ~ (g_both @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [both_g])). 4.23/1.23 thf(true_only_g, axiom, 4.23/1.23 (![X_2:$i,X_1:$i]: 4.23/1.23 ( ( ( ~( g_false @ X_2 @ X_1 ) ) & ( g_true @ X_2 @ X_1 ) ) <=> 4.23/1.23 ( g_true_only @ X_2 @ X_1 ) ))). 4.23/1.23 thf(zip_derived_cl4, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: (~ (g_false @ X0 @ X1) | ~ (g_true_only @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [true_only_g])). 4.23/1.23 thf(zip_derived_cl1179, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: (~ (g_both @ X1 @ X0) | ~ (g_true_only @ X1 @ X0))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl4])). 4.23/1.23 thf(zip_derived_cl200, plain, 4.23/1.23 (( (g_true_only @ sk__8 @ sk__9)) <= (( (g_true_only @ sk__8 @ sk__9)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl1210, plain, 4.23/1.23 ((~ (g_both @ sk__8 @ sk__9)) <= (( (g_true_only @ sk__8 @ sk__9)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1179, zip_derived_cl200])). 4.23/1.23 thf(zip_derived_cl201, plain, 4.23/1.23 (( (g_both @ sk__8 @ sk__9)) <= (( (g_both @ sk__8 @ sk__9)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf('51', plain, 4.23/1.23 (~ ( (g_true_only @ sk__8 @ sk__9)) | ~ ( (g_both @ sk__8 @ sk__9))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1210, zip_derived_cl201])). 4.23/1.23 thf('52', plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk__10 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) | 4.23/1.23 ~ ( (g_true_only @ sk__10 @ sk__13)) | 4.23/1.23 ( (h_true_only @ sk__10 @ (sk__14 @ sk__10)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1209])). 4.23/1.23 thf(zip_derived_cl54, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X18 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (h_both @ sk__8 @ X18) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (g_true_only @ sk__10 @ sk__13) 4.23/1.23 | (g_both @ sk__10 @ sk__11))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('53', plain, 4.23/1.23 ((![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) | 4.23/1.23 ( (g_both @ sk__10 @ sk__11)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 ( (g_true_only @ sk__10 @ sk__13))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl54])). 4.23/1.23 thf(zip_derived_cl45, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X18 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (h_false_only @ sk__8 @ X18) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__10 @ sk__13) 4.23/1.23 | (g_both @ sk__10 @ sk__11))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('54', plain, 4.23/1.23 ((![X18 : $i]: (h_false_only @ sk__8 @ X18)) | 4.23/1.23 ( (g_both @ sk__10 @ sk__11)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 ( (g_true_only @ sk__10 @ sk__13)) | ( (g_true_only @ sk__8 @ sk__9))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl45])). 4.23/1.23 thf(zip_derived_cl27, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__10 @ sk__13) 4.23/1.23 | (g_both @ sk__10 @ sk__11))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('55', plain, 4.23/1.23 (( (g_both @ sk__8 @ sk__9)) | ( (g_both @ sk__10 @ sk__11)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 ( (g_true_only @ sk__10 @ sk__13)) | ( (g_true_only @ sk__8 @ sk__9))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl27])). 4.23/1.23 thf(zip_derived_cl196, plain, 4.23/1.23 ((![X14 : $i]: (h_false_only @ sk__10 @ X14)) 4.23/1.23 <= ((![X14 : $i]: (h_false_only @ sk__10 @ X14)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl181, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl12])). 4.23/1.23 thf(zip_derived_cl1201, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_both @ sk__10 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14)))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl181])). 4.23/1.23 thf(zip_derived_cl213, plain, 4.23/1.23 (( (g_both @ sk__10 @ sk__11)) <= (( (g_both @ sk__10 @ sk__11)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl21])). 4.23/1.23 thf('56', plain, 4.23/1.23 (~ ( (g_both @ sk__10 @ sk__11)) | 4.23/1.23 ~ (![X14 : $i]: (h_false_only @ sk__10 @ X14)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1201, zip_derived_cl213])). 4.23/1.23 thf(zip_derived_cl240, plain, 4.23/1.23 (( (g_true_only @ sk__10 @ sk__13)) 4.23/1.23 <= (( (g_true_only @ sk__10 @ sk__13)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl25])). 4.23/1.23 thf(zip_derived_cl1149, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__10 @ X0)) 4.23/1.23 <= ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) & 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14)))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl178])). 4.23/1.23 thf('57', plain, 4.23/1.23 (~ ( (g_true_only @ sk__10 @ sk__13)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) | 4.23/1.23 ~ (![X14 : $i]: (h_false_only @ sk__10 @ X14))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl240, zip_derived_cl1149])). 4.23/1.23 thf(zip_derived_cl1269, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ (sk__18 @ X0 @ sk__8)) 4.23/1.23 | ~ (g_true_only @ sk__8 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl259, zip_derived_cl177])). 4.23/1.23 thf(zip_derived_cl198, plain, 4.23/1.23 ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) 4.23/1.23 <= ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl1307, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ sk__8 @ X0) 4.23/1.23 | (g_true_only @ sk__8 @ (sk__5 @ sk__8)) 4.23/1.23 | (h_true_only @ sk__8 @ (sk__4 @ sk__8)) 4.23/1.23 | ~ (g_both @ sk__8 @ X1))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1269, zip_derived_cl198])). 4.23/1.23 thf(zip_derived_cl1319, plain, 4.23/1.23 (( (g_true_only @ sk__8 @ (sk__5 @ sk__8))) 4.23/1.23 <= (( (g_true_only @ sk__8 @ (sk__5 @ sk__8))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1307])). 4.23/1.23 thf(zip_derived_cl184, plain, 4.23/1.23 ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl1320, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_true_only @ sk__8 @ (sk__14 @ sk__8)) | ~ (h_both @ sk__8 @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) & 4.23/1.23 ( (g_true_only @ sk__8 @ (sk__5 @ sk__8))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1319, zip_derived_cl184])). 4.23/1.23 thf(zip_derived_cl1328, plain, 4.23/1.23 (( (h_true_only @ sk__8 @ (sk__14 @ sk__8))) 4.23/1.23 <= (( (h_true_only @ sk__8 @ (sk__14 @ sk__8))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1320])). 4.23/1.23 thf(zip_derived_cl1163, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 (~ (h_false_only @ X1 @ X0) | ~ (h_true_only @ X1 @ X0))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl8])). 4.23/1.23 thf(zip_derived_cl1330, plain, 4.23/1.23 ((~ (h_false_only @ sk__8 @ (sk__14 @ sk__8))) 4.23/1.23 <= (( (h_true_only @ sk__8 @ (sk__14 @ sk__8))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1328, zip_derived_cl1163])). 4.23/1.23 thf(zip_derived_cl259, plain, 4.23/1.23 ((![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) 4.23/1.23 <= ((![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl28])). 4.23/1.23 thf(zip_derived_cl1332, plain, 4.23/1.23 (( (h_both @ sk__8 @ (sk__14 @ sk__8))) 4.23/1.23 <= ((![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) & 4.23/1.23 ( (h_true_only @ sk__8 @ (sk__14 @ sk__8))))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1330, zip_derived_cl259])). 4.23/1.23 thf(zip_derived_cl1328, plain, 4.23/1.23 (( (h_true_only @ sk__8 @ (sk__14 @ sk__8))) 4.23/1.23 <= (( (h_true_only @ sk__8 @ (sk__14 @ sk__8))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1320])). 4.23/1.23 thf(zip_derived_cl168, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: ( (h_false @ X0 @ X1) | ~ (h_both @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [both_h])). 4.23/1.23 thf(zip_derived_cl8, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: (~ (h_false @ X0 @ X1) | ~ (h_true_only @ X0 @ X1))), 4.23/1.23 inference('cnf', [status(esa)], [true_only_h])). 4.23/1.23 thf(zip_derived_cl1146, plain, 4.23/1.23 (![X0 : $i, X1 : $i]: (~ (h_both @ X1 @ X0) | ~ (h_true_only @ X1 @ X0))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl8])). 4.23/1.23 thf(zip_derived_cl1329, plain, 4.23/1.23 ((~ (h_both @ sk__8 @ (sk__14 @ sk__8))) 4.23/1.23 <= (( (h_true_only @ sk__8 @ (sk__14 @ sk__8))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1328, zip_derived_cl1146])). 4.23/1.23 thf('58', plain, 4.23/1.23 (~ ( (h_true_only @ sk__8 @ (sk__14 @ sk__8))) | 4.23/1.23 ~ 4.23/1.23 (![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1332, zip_derived_cl1329])). 4.23/1.23 thf(zip_derived_cl1269, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ (sk__18 @ X0 @ sk__8)) 4.23/1.23 | ~ (g_true_only @ sk__8 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl259, zip_derived_cl177])). 4.23/1.23 thf(zip_derived_cl1216, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk__8 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk__8 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1208])). 4.23/1.23 thf(zip_derived_cl1310, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__8 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X18 : $i]: 4.23/1.23 ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18))) & 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk__8 @ X0)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1269, zip_derived_cl1216])). 4.23/1.23 thf(zip_derived_cl200, plain, 4.23/1.23 (( (g_true_only @ sk__8 @ sk__9)) <= (( (g_true_only @ sk__8 @ sk__9)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf('59', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk__8 @ X0)) | 4.23/1.23 ~ ( (g_true_only @ sk__8 @ sk__9)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ 4.23/1.23 (![X18 : $i]: ( (h_both @ sk__8 @ X18) | (h_false_only @ sk__8 @ X18)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1310, zip_derived_cl200])). 4.23/1.23 thf('60', plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk__8 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) | 4.23/1.23 ( (h_true_only @ sk__8 @ (sk__14 @ sk__8))) | 4.23/1.23 ~ ( (g_true_only @ sk__8 @ sk__9))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1208])). 4.23/1.23 thf('61', plain, 4.23/1.23 (~ 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 (![X0 : $i]: (h_false_only @ sk_ @ X0)) | 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk_ @ X0)) | 4.23/1.23 ( (h_true_only @ sk_ @ (sk__7 @ sk_))) | ~ ( (g_both @ sk_ @ sk__1)) | 4.23/1.23 ( (g_true_only @ sk_ @ (sk__6 @ sk_)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1465])). 4.23/1.23 thf(zip_derived_cl1508, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ (sk__17 @ sk__2))) 4.23/1.23 <= (( (g_true_only @ sk__2 @ (sk__17 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1451])). 4.23/1.23 thf(zip_derived_cl1480, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1443])). 4.23/1.23 thf('62', plain, 4.23/1.23 (~ ( (g_true_only @ sk__2 @ (sk__17 @ sk__2))) | 4.23/1.23 ~ (![X0 : $i]: ~ (g_true_only @ sk__2 @ X0))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1508, zip_derived_cl1480])). 4.23/1.23 thf(zip_derived_cl1444, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__2 @ (sk__18 @ X0 @ sk__2)) 4.23/1.23 | ~ (g_true_only @ sk__2 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1140, zip_derived_cl177])). 4.23/1.23 thf(zip_derived_cl198, plain, 4.23/1.23 ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) 4.23/1.23 <= ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl1624, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ sk__2 @ X0) 4.23/1.23 | (g_true_only @ sk__2 @ (sk__5 @ sk__2)) 4.23/1.23 | (h_true_only @ sk__2 @ (sk__4 @ sk__2)) 4.23/1.23 | ~ (g_both @ sk__2 @ X1))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1444, zip_derived_cl198])). 4.23/1.23 thf(zip_derived_cl1121, plain, 4.23/1.23 ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) 4.23/1.23 <= ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl164])). 4.23/1.23 thf(zip_derived_cl1666, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_both @ sk__2 @ X1) 4.23/1.23 | (g_true_only @ sk__2 @ (sk__5 @ sk__2)) 4.23/1.23 | ~ (g_true_only @ sk__2 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('clc', [status(thm)], [zip_derived_cl1624, zip_derived_cl1121])). 4.23/1.23 thf('63', plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)) | 4.23/1.23 (![X0 : $i]: ~ (g_both @ sk__2 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) | 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__5 @ sk__2)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1666])). 4.23/1.23 thf(zip_derived_cl1509, plain, 4.23/1.23 (( (h_both @ sk__2 @ (sk__16 @ sk__2))) 4.23/1.23 <= (~ ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1507, zip_derived_cl1140])). 4.23/1.23 thf(zip_derived_cl198, plain, 4.23/1.23 ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) 4.23/1.23 <= ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl1511, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__5 @ sk__2)) 4.23/1.23 | (h_true_only @ sk__2 @ (sk__4 @ sk__2)) 4.23/1.23 | ~ (g_both @ sk__2 @ X0))) 4.23/1.23 <= (~ ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1509, zip_derived_cl198])). 4.23/1.23 thf(zip_derived_cl1121, plain, 4.23/1.23 ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) 4.23/1.23 <= ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl164])). 4.23/1.23 thf(zip_derived_cl1517, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 (~ (g_both @ sk__2 @ X0) | (g_true_only @ sk__2 @ (sk__5 @ sk__2)))) 4.23/1.23 <= (~ ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('clc', [status(thm)], [zip_derived_cl1511, zip_derived_cl1121])). 4.23/1.23 thf('64', plain, 4.23/1.23 (( (h_false_only @ sk__2 @ (sk__16 @ sk__2))) | 4.23/1.23 (![X0 : $i]: ~ (g_both @ sk__2 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__5 @ sk__2))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1517])). 4.23/1.23 thf('65', plain, 4.23/1.23 (~ ( (h_false_only @ sk__2 @ (sk__16 @ sk__2))) | 4.23/1.23 ~ ( (g_both @ sk__2 @ sk__3)) | 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__17 @ sk__2))) | 4.23/1.23 ~ 4.23/1.23 (![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1451])). 4.23/1.23 thf('66', plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) | 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl12])). 4.23/1.23 thf(zip_derived_cl1589, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk_ @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('simplify', [status(thm)], [zip_derived_cl1586])). 4.23/1.23 thf(zip_derived_cl1530, plain, 4.23/1.23 ((~ (h_false_only @ sk_ @ (sk__16 @ sk_))) 4.23/1.23 <= (~ ( (h_false_only @ sk_ @ (sk__16 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1464])). 4.23/1.23 thf(zip_derived_cl1138, plain, 4.23/1.23 ((![X0 : $i]: ( (h_both @ sk_ @ X0) | (h_false_only @ sk_ @ X0))) 4.23/1.23 <= ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1119, zip_derived_cl167])). 4.23/1.23 thf(zip_derived_cl1532, plain, 4.23/1.23 (( (h_both @ sk_ @ (sk__16 @ sk_))) 4.23/1.23 <= (~ ( (h_false_only @ sk_ @ (sk__16 @ sk_))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1530, zip_derived_cl1138])). 4.23/1.23 thf(zip_derived_cl198, plain, 4.23/1.23 ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) 4.23/1.23 <= ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl1534, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (g_true_only @ sk_ @ (sk__5 @ sk_)) 4.23/1.23 | (h_true_only @ sk_ @ (sk__4 @ sk_)) 4.23/1.23 | ~ (g_both @ sk_ @ X0))) 4.23/1.23 <= (~ ( (h_false_only @ sk_ @ (sk__16 @ sk_))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1532, zip_derived_cl198])). 4.23/1.23 thf(zip_derived_cl1119, plain, 4.23/1.23 ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) 4.23/1.23 <= ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl163])). 4.23/1.23 thf(zip_derived_cl1540, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 (~ (g_both @ sk_ @ X0) | (g_true_only @ sk_ @ (sk__5 @ sk_)))) 4.23/1.23 <= (~ ( (h_false_only @ sk_ @ (sk__16 @ sk_))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('clc', [status(thm)], [zip_derived_cl1534, zip_derived_cl1119])). 4.23/1.23 thf(zip_derived_cl1542, plain, 4.23/1.23 (( (g_true_only @ sk_ @ (sk__5 @ sk_))) 4.23/1.23 <= (( (g_true_only @ sk_ @ (sk__5 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1540])). 4.23/1.23 thf('67', plain, 4.23/1.23 (~ ( (g_true_only @ sk_ @ (sk__5 @ sk_))) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2))))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1589, zip_derived_cl1542])). 4.23/1.23 thf(zip_derived_cl1589, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk_ @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('simplify', [status(thm)], [zip_derived_cl1586])). 4.23/1.23 thf(zip_derived_cl1460, plain, 4.23/1.23 (( (g_true_only @ sk_ @ sk__1)) <= (( (g_true_only @ sk_ @ sk__1)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1144])). 4.23/1.23 thf('68', plain, 4.23/1.23 (~ ( (g_true_only @ sk_ @ sk__1)) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2))))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1589, zip_derived_cl1460])). 4.23/1.23 thf(zip_derived_cl1628, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('simplify', [status(thm)], [zip_derived_cl1625])). 4.23/1.23 thf(zip_derived_cl1519, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ (sk__5 @ sk__2))) 4.23/1.23 <= (( (g_true_only @ sk__2 @ (sk__5 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1517])). 4.23/1.23 thf('69', plain, 4.23/1.23 (~ ( (g_true_only @ sk__2 @ (sk__5 @ sk__2))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2))))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1628, zip_derived_cl1519])). 4.23/1.23 thf('70', plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) | ~ (h_both @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl11])). 4.23/1.23 thf('71', plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk_ @ X0)) | 4.23/1.23 ( (h_both @ sk_ @ (sk__15 @ sk_))) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0)))) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1434])). 4.23/1.23 thf(zip_derived_cl1476, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk_ @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (g_true_only @ sk_ @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1434])). 4.23/1.23 thf(zip_derived_cl1460, plain, 4.23/1.23 (( (g_true_only @ sk_ @ sk__1)) <= (( (g_true_only @ sk_ @ sk__1)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1144])). 4.23/1.23 thf('72', plain, 4.23/1.23 (~ ( (g_true_only @ sk_ @ sk__1)) | 4.23/1.23 ~ (![X0 : $i]: ~ (g_true_only @ sk_ @ X0))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1476, zip_derived_cl1460])). 4.23/1.23 thf('73', plain, 4.23/1.23 (~ ( (g_false_only @ sk_ @ sk__1)) | ~ ( (g_false_only @ sk__2 @ sk__3))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl165])). 4.23/1.23 thf(zip_derived_cl1460, plain, 4.23/1.23 (( (g_true_only @ sk_ @ sk__1)) <= (( (g_true_only @ sk_ @ sk__1)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1144])). 4.23/1.23 thf(zip_derived_cl184, plain, 4.23/1.23 ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl1462, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_true_only @ sk_ @ (sk__14 @ sk_)) | ~ (h_both @ sk_ @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) & 4.23/1.23 ( (g_true_only @ sk_ @ sk__1)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1460, zip_derived_cl184])). 4.23/1.23 thf(zip_derived_cl1491, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk_ @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk_ @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1462])). 4.23/1.23 thf(zip_derived_cl1477, plain, 4.23/1.23 (( (h_both @ sk_ @ (sk__15 @ sk_))) 4.23/1.23 <= (( (h_both @ sk_ @ (sk__15 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1434])). 4.23/1.23 thf('74', plain, 4.23/1.23 (~ ( (h_both @ sk_ @ (sk__15 @ sk_))) | 4.23/1.23 ~ (![X0 : $i]: ~ (h_both @ sk_ @ X0))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1491, zip_derived_cl1477])). 4.23/1.23 thf('75', plain, 4.23/1.23 ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) | 4.23/1.23 ~ ( (g_false_only @ sk__2 @ sk__3))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl163])). 4.23/1.23 thf('76', plain, 4.23/1.23 (( (g_both @ sk__2 @ sk__3)) | ( (g_false_only @ sk__2 @ sk__3)) | 4.23/1.23 ( (g_true_only @ sk__2 @ sk__3))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1142])). 4.23/1.23 thf(zip_derived_cl1445, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk__2 @ (sk__18 @ X0 @ sk__2)) | ~ (g_both @ sk__2 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1140, zip_derived_cl181])). 4.23/1.23 thf(zip_derived_cl198, plain, 4.23/1.23 ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) 4.23/1.23 <= ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl1652, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_both @ sk__2 @ X0) 4.23/1.23 | (g_true_only @ sk__2 @ (sk__5 @ sk__2)) 4.23/1.23 | (h_true_only @ sk__2 @ (sk__4 @ sk__2)) 4.23/1.23 | ~ (g_both @ sk__2 @ X1))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1445, zip_derived_cl198])). 4.23/1.23 thf(zip_derived_cl1670, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 (~ (g_both @ sk__2 @ X0) 4.23/1.23 | (g_true_only @ sk__2 @ (sk__5 @ sk__2)) 4.23/1.23 | (h_true_only @ sk__2 @ (sk__4 @ sk__2)))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('condensation', [status(thm)], [zip_derived_cl1652])). 4.23/1.23 thf(zip_derived_cl1121, plain, 4.23/1.23 ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) 4.23/1.23 <= ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl164])). 4.23/1.23 thf(zip_derived_cl1671, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__5 @ sk__2)) | ~ (g_both @ sk__2 @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('clc', [status(thm)], [zip_derived_cl1670, zip_derived_cl1121])). 4.23/1.23 thf('77', plain, 4.23/1.23 ((![X0 : $i]: ~ (g_both @ sk__2 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) | 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__5 @ sk__2))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1671])). 4.23/1.23 thf(zip_derived_cl1519, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ (sk__5 @ sk__2))) 4.23/1.23 <= (( (g_true_only @ sk__2 @ (sk__5 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1517])). 4.23/1.23 thf(zip_derived_cl1480, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1443])). 4.23/1.23 thf('78', plain, 4.23/1.23 (~ ( (g_true_only @ sk__2 @ (sk__5 @ sk__2))) | 4.23/1.23 ~ (![X0 : $i]: ~ (g_true_only @ sk__2 @ X0))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1519, zip_derived_cl1480])). 4.23/1.23 thf(zip_derived_cl1519, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ (sk__5 @ sk__2))) 4.23/1.23 <= (( (g_true_only @ sk__2 @ (sk__5 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1517])). 4.23/1.23 thf(zip_derived_cl184, plain, 4.23/1.23 ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl1523, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_true_only @ sk__2 @ (sk__14 @ sk__2)) | ~ (h_both @ sk__2 @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) & 4.23/1.23 ( (g_true_only @ sk__2 @ (sk__5 @ sk__2))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1519, zip_derived_cl184])). 4.23/1.23 thf('79', plain, 4.23/1.23 (~ ( (g_true_only @ sk__2 @ (sk__5 @ sk__2))) | 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk__2 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) | 4.23/1.23 ( (h_true_only @ sk__2 @ (sk__14 @ sk__2)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1523])). 4.23/1.23 thf('80', plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)) | 4.23/1.23 ( (h_both @ sk__2 @ (sk__15 @ sk__2))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) | ~ (h_false_only @ X0 @ (sk__15 @ X0))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1443])). 4.23/1.23 thf(zip_derived_cl1487, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk__2 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk__2 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1449])). 4.23/1.23 thf(zip_derived_cl1481, plain, 4.23/1.23 (( (h_both @ sk__2 @ (sk__15 @ sk__2))) 4.23/1.23 <= (( (h_both @ sk__2 @ (sk__15 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1443])). 4.23/1.23 thf('81', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk__2 @ X0)) | 4.23/1.23 ~ ( (h_both @ sk__2 @ (sk__15 @ sk__2)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1487, zip_derived_cl1481])). 4.23/1.23 thf(zip_derived_cl1518, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_both @ sk__2 @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (g_both @ sk__2 @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1517])). 4.23/1.23 thf(zip_derived_cl1448, plain, 4.23/1.23 (( (g_both @ sk__2 @ sk__3)) <= (( (g_both @ sk__2 @ sk__3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1142])). 4.23/1.23 thf('82', plain, 4.23/1.23 (~ ( (g_both @ sk__2 @ sk__3)) | ~ (![X0 : $i]: ~ (g_both @ sk__2 @ X0))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1518, zip_derived_cl1448])). 4.23/1.23 thf('83', plain, 4.23/1.23 (~ ( (g_true_only @ sk__2 @ sk__3)) | 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk__2 @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) | 4.23/1.23 ( (h_true_only @ sk__2 @ (sk__14 @ sk__2)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1449])). 4.23/1.23 thf(zip_derived_cl1626, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk__2 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) & 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk__2 @ X0)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1444, zip_derived_cl1487])). 4.23/1.23 thf(zip_derived_cl1447, plain, 4.23/1.23 (( (g_true_only @ sk__2 @ sk__3)) <= (( (g_true_only @ sk__2 @ sk__3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1142])). 4.23/1.23 thf('84', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk__2 @ X0)) | 4.23/1.23 ~ ( (g_true_only @ sk__2 @ sk__3)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1626, zip_derived_cl1447])). 4.23/1.23 thf(zip_derived_cl1488, plain, 4.23/1.23 (( (h_true_only @ sk__2 @ (sk__14 @ sk__2))) 4.23/1.23 <= (( (h_true_only @ sk__2 @ (sk__14 @ sk__2))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1449])). 4.23/1.23 thf(zip_derived_cl1121, plain, 4.23/1.23 ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)) 4.23/1.23 <= ((![X20 : $i]: ~ (h_true_only @ sk__2 @ X20)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl164])). 4.23/1.23 thf('85', plain, 4.23/1.23 (~ ( (h_true_only @ sk__2 @ (sk__14 @ sk__2))) | 4.23/1.23 ~ (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1488, zip_derived_cl1121])). 4.23/1.23 thf(zip_derived_cl1542, plain, 4.23/1.23 (( (g_true_only @ sk_ @ (sk__5 @ sk_))) 4.23/1.23 <= (( (g_true_only @ sk_ @ (sk__5 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1540])). 4.23/1.23 thf(zip_derived_cl184, plain, 4.23/1.23 ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl1546, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_true_only @ sk_ @ (sk__14 @ sk_)) | ~ (h_both @ sk_ @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) & 4.23/1.23 ( (g_true_only @ sk_ @ (sk__5 @ sk_))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1542, zip_derived_cl184])). 4.23/1.23 thf('86', plain, 4.23/1.23 (~ ( (g_true_only @ sk_ @ (sk__5 @ sk_))) | 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk_ @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) | 4.23/1.23 ( (h_true_only @ sk_ @ (sk__14 @ sk_)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1546])). 4.23/1.23 thf('87', plain, 4.23/1.23 (~ ( (g_true_only @ sk_ @ sk__1)) | 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk_ @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) | 4.23/1.23 ( (h_true_only @ sk_ @ (sk__14 @ sk_)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1462])). 4.23/1.23 thf(zip_derived_cl1138, plain, 4.23/1.23 ((![X0 : $i]: ( (h_both @ sk_ @ X0) | (h_false_only @ sk_ @ X0))) 4.23/1.23 <= ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1119, zip_derived_cl167])). 4.23/1.23 thf(zip_derived_cl181, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl12])). 4.23/1.23 thf(zip_derived_cl1436, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk_ @ (sk__18 @ X0 @ sk_)) | ~ (g_both @ sk_ @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1138, zip_derived_cl181])). 4.23/1.23 thf(zip_derived_cl1491, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk_ @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk_ @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1462])). 4.23/1.23 thf(zip_derived_cl1619, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_both @ sk_ @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) & 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk_ @ X0)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1436, zip_derived_cl1491])). 4.23/1.23 thf(zip_derived_cl1461, plain, 4.23/1.23 (( (g_both @ sk_ @ sk__1)) <= (( (g_both @ sk_ @ sk__1)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1144])). 4.23/1.23 thf('88', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk_ @ X0)) | ~ ( (g_both @ sk_ @ sk__1)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1619, zip_derived_cl1461])). 4.23/1.23 thf(zip_derived_cl1532, plain, 4.23/1.23 (( (h_both @ sk_ @ (sk__16 @ sk_))) 4.23/1.23 <= (~ ( (h_false_only @ sk_ @ (sk__16 @ sk_))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1530, zip_derived_cl1138])). 4.23/1.23 thf(zip_derived_cl1491, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk_ @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk_ @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1462])). 4.23/1.23 thf('89', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk_ @ X0)) | 4.23/1.23 ( (h_false_only @ sk_ @ (sk__16 @ sk_))) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1532, zip_derived_cl1491])). 4.23/1.23 thf(zip_derived_cl1435, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk_ @ (sk__18 @ X0 @ sk_)) | ~ (g_true_only @ sk_ @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1138, zip_derived_cl177])). 4.23/1.23 thf(zip_derived_cl1491, plain, 4.23/1.23 ((![X0 : $i]: ~ (h_both @ sk_ @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (h_both @ sk_ @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1462])). 4.23/1.23 thf(zip_derived_cl1587, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk_ @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) & 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk_ @ X0)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1435, zip_derived_cl1491])). 4.23/1.23 thf(zip_derived_cl1460, plain, 4.23/1.23 (( (g_true_only @ sk_ @ sk__1)) <= (( (g_true_only @ sk_ @ sk__1)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1144])). 4.23/1.23 thf('90', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk_ @ X0)) | 4.23/1.23 ~ ( (g_true_only @ sk_ @ sk__1)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1587, zip_derived_cl1460])). 4.23/1.23 thf('91', plain, 4.23/1.23 (( (g_both @ sk_ @ sk__1)) | ( (g_true_only @ sk_ @ sk__1)) | 4.23/1.23 ( (g_false_only @ sk_ @ sk__1))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1144])). 4.23/1.23 thf(zip_derived_cl1531, plain, 4.23/1.23 (( (g_true_only @ sk_ @ (sk__17 @ sk_))) 4.23/1.23 <= (( (g_true_only @ sk_ @ (sk__17 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1464])). 4.23/1.23 thf(zip_derived_cl184, plain, 4.23/1.23 ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl1537, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_true_only @ sk_ @ (sk__14 @ sk_)) | ~ (h_both @ sk_ @ X0))) 4.23/1.23 <= ((![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) & 4.23/1.23 ( (g_true_only @ sk_ @ (sk__17 @ sk_))))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1531, zip_derived_cl184])). 4.23/1.23 thf('92', plain, 4.23/1.23 (~ ( (g_true_only @ sk_ @ (sk__17 @ sk_))) | 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk_ @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4))) | 4.23/1.23 ( (h_true_only @ sk_ @ (sk__14 @ sk_)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1537])). 4.23/1.23 thf(zip_derived_cl1587, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_true_only @ sk_ @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) & 4.23/1.23 (![X0 : $i]: ~ (h_both @ sk_ @ X0)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1435, zip_derived_cl1491])). 4.23/1.23 thf(zip_derived_cl1531, plain, 4.23/1.23 (( (g_true_only @ sk_ @ (sk__17 @ sk_))) 4.23/1.23 <= (( (g_true_only @ sk_ @ (sk__17 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1464])). 4.23/1.23 thf('93', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (h_both @ sk_ @ X0)) | 4.23/1.23 ~ ( (g_true_only @ sk_ @ (sk__17 @ sk_))) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1587, zip_derived_cl1531])). 4.23/1.23 thf(zip_derived_cl1492, plain, 4.23/1.23 (( (h_true_only @ sk_ @ (sk__14 @ sk_))) 4.23/1.23 <= (( (h_true_only @ sk_ @ (sk__14 @ sk_))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1462])). 4.23/1.23 thf(zip_derived_cl1119, plain, 4.23/1.23 ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) 4.23/1.23 <= ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl163])). 4.23/1.23 thf('94', plain, 4.23/1.23 (~ ( (h_true_only @ sk_ @ (sk__14 @ sk_))) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1492, zip_derived_cl1119])). 4.23/1.23 thf('95', plain, 4.23/1.23 ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) | 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl164])). 4.23/1.23 thf(zip_derived_cl166, plain, 4.23/1.23 (![X20 : $i]: 4.23/1.23 (~ (g_false_only @ sk_ @ sk__1) | ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('96', plain, 4.23/1.23 (~ ( (g_false_only @ sk_ @ sk__1)) | 4.23/1.23 (![X20 : $i]: ~ (h_true_only @ sk__2 @ X20))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl166])). 4.23/1.23 thf('97', plain, 4.23/1.23 (~ ( (h_false_only @ sk_ @ (sk__16 @ sk_))) | 4.23/1.23 ~ 4.23/1.23 (![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) | 4.23/1.23 ~ ( (g_both @ sk_ @ sk__1)) | ( (g_true_only @ sk_ @ (sk__17 @ sk_)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1464])). 4.23/1.23 thf(zip_derived_cl1436, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (h_both @ sk_ @ (sk__18 @ X0 @ sk_)) | ~ (g_both @ sk_ @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1138, zip_derived_cl181])). 4.23/1.23 thf(zip_derived_cl198, plain, 4.23/1.23 ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) 4.23/1.23 <= ((![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf(zip_derived_cl1617, plain, 4.23/1.23 ((![X0 : $i, X1 : $i]: 4.23/1.23 (~ (g_both @ sk_ @ X0) 4.23/1.23 | (g_true_only @ sk_ @ (sk__5 @ sk_)) 4.23/1.23 | (h_true_only @ sk_ @ (sk__4 @ sk_)) 4.23/1.23 | ~ (g_both @ sk_ @ X1))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('s_sup-', [status(thm)], 4.23/1.23 [zip_derived_cl1436, zip_derived_cl198])). 4.23/1.23 thf(zip_derived_cl1647, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 (~ (g_both @ sk_ @ X0) 4.23/1.23 | (g_true_only @ sk_ @ (sk__5 @ sk_)) 4.23/1.23 | (h_true_only @ sk_ @ (sk__4 @ sk_)))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('condensation', [status(thm)], [zip_derived_cl1617])). 4.23/1.23 thf(zip_derived_cl1119, plain, 4.23/1.23 ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) 4.23/1.23 <= ((![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl163])). 4.23/1.23 thf(zip_derived_cl1648, plain, 4.23/1.23 ((![X0 : $i]: 4.23/1.23 ( (g_true_only @ sk_ @ (sk__5 @ sk_)) | ~ (g_both @ sk_ @ X0))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) & 4.23/1.23 (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)))), 4.23/1.23 inference('clc', [status(thm)], [zip_derived_cl1647, zip_derived_cl1119])). 4.23/1.23 thf('98', plain, 4.23/1.23 (~ 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 (![X0 : $i]: ~ (g_both @ sk_ @ X0)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) | 4.23/1.23 ( (g_true_only @ sk_ @ (sk__5 @ sk_))) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1648])). 4.23/1.23 thf('99', plain, 4.23/1.23 (~ 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 ( (h_false_only @ sk_ @ (sk__16 @ sk_))) | 4.23/1.23 (![X0 : $i]: ~ (g_both @ sk_ @ X0)) | 4.23/1.23 ~ (![X19 : $i]: ~ (h_true_only @ sk_ @ X19)) | 4.23/1.23 ( (g_true_only @ sk_ @ (sk__5 @ sk_)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1540])). 4.23/1.23 thf(zip_derived_cl18, plain, 4.23/1.23 (![X2 : $i, X3 : $i, X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('100', plain, 4.23/1.23 ((![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) | 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl18])). 4.23/1.23 thf('101', plain, 4.23/1.23 (~ ( (h_false_only @ sk__8 @ (sk__16 @ sk__8))) | 4.23/1.23 ~ 4.23/1.23 (![X5 : $i, X6 : $i]: 4.23/1.23 (~ (g_both @ X5 @ X6) 4.23/1.23 | (g_true_only @ X5 @ (sk__17 @ X5)) 4.23/1.23 | ~ (h_false_only @ X5 @ (sk__16 @ X5)))) | 4.23/1.23 ( (g_true_only @ sk__8 @ (sk__17 @ sk__8))) | 4.23/1.23 ~ ( (g_both @ sk__8 @ sk__9))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1222])). 4.23/1.23 thf(zip_derived_cl1541, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_both @ sk_ @ X0)) 4.23/1.23 <= ((![X0 : $i]: ~ (g_both @ sk_ @ X0)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1540])). 4.23/1.23 thf(zip_derived_cl1461, plain, 4.23/1.23 (( (g_both @ sk_ @ sk__1)) <= (( (g_both @ sk_ @ sk__1)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl1144])). 4.23/1.23 thf('102', plain, 4.23/1.23 (~ (![X0 : $i]: ~ (g_both @ sk_ @ X0)) | ~ ( (g_both @ sk_ @ sk__1))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1541, zip_derived_cl1461])). 4.23/1.23 thf('103', plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (g_true_only @ X2 @ X3) 4.23/1.23 | ~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)))) | 4.23/1.23 (![X0 : $i, X1 : $i, X4 : $i]: 4.23/1.23 (~ (g_true_only @ X0 @ X1) 4.23/1.23 | (h_true_only @ X0 @ (sk__14 @ X0)) 4.23/1.23 | ~ (h_both @ X0 @ X4)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl13])). 4.23/1.23 thf(zip_derived_cl240, plain, 4.23/1.23 (( (g_true_only @ sk__10 @ sk__13)) 4.23/1.23 <= (( (g_true_only @ sk__10 @ sk__13)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl25])). 4.23/1.23 thf(zip_derived_cl199, plain, 4.23/1.23 ((![X16 : $i]: ~ (g_true_only @ sk__10 @ X16)) 4.23/1.23 <= ((![X16 : $i]: ~ (g_true_only @ sk__10 @ X16)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf('104', plain, 4.23/1.23 (~ (![X16 : $i]: ~ (g_true_only @ sk__10 @ X16)) | 4.23/1.23 ~ ( (g_true_only @ sk__10 @ sk__13))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl199])). 4.23/1.23 thf(zip_derived_cl26, plain, 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, 4.23/1.23 X17 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9) 4.23/1.23 | ~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)) 4.23/1.23 | (g_both @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__8 @ sk__9) 4.23/1.23 | (g_true_only @ sk__10 @ sk__13) 4.23/1.23 | (h_false_only @ sk__10 @ X17))), 4.23/1.23 inference('cnf', [status(esa)], [zf_stmt_0])). 4.23/1.23 thf('105', plain, 4.23/1.23 (( (g_both @ sk__8 @ sk__9)) | ( (g_true_only @ sk__10 @ sk__13)) | 4.23/1.23 (![X7 : $i, X8 : $i, X9 : $i]: 4.23/1.23 ( (g_true_only @ X7 @ (sk__5 @ X7)) 4.23/1.23 | (h_true_only @ X7 @ (sk__4 @ X7)) 4.23/1.23 | ~ (h_both @ X7 @ X8) 4.23/1.23 | ~ (g_both @ X7 @ X9))) | 4.23/1.23 ( (g_true_only @ sk__8 @ sk__9)) | 4.23/1.23 (![X10 : $i, X11 : $i, X12 : $i, X13 : $i]: 4.23/1.23 (~ (h_both @ X10 @ X11) 4.23/1.23 | ~ (g_both @ X10 @ X12) 4.23/1.23 | (h_true_only @ X10 @ (sk__7 @ X10)) 4.23/1.23 | (g_false_only @ X10 @ X12) 4.23/1.23 | (h_false_only @ X10 @ X13) 4.23/1.23 | (g_true_only @ X10 @ (sk__6 @ X10)))) | 4.23/1.23 (![X14 : $i]: (h_false_only @ sk__10 @ X14))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl26])). 4.23/1.23 thf(zip_derived_cl319, plain, 4.23/1.23 ((![X18 : $i]: (h_false_only @ sk__8 @ X18)) 4.23/1.23 <= ((![X18 : $i]: (h_false_only @ sk__8 @ X18)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl37])). 4.23/1.23 thf(zip_derived_cl181, plain, 4.23/1.23 ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3))) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl12])). 4.23/1.23 thf(zip_derived_cl1200, plain, 4.23/1.23 ((![X0 : $i]: ~ (g_both @ sk__8 @ X0)) 4.23/1.23 <= ((![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) 4.23/1.23 | ~ (g_both @ X2 @ X3))) & 4.23/1.23 (![X18 : $i]: (h_false_only @ sk__8 @ X18)))), 4.23/1.23 inference('s_sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl181])). 4.23/1.23 thf(zip_derived_cl201, plain, 4.23/1.23 (( (g_both @ sk__8 @ sk__9)) <= (( (g_both @ sk__8 @ sk__9)))), 4.23/1.23 inference('split', [status(esa)], [zip_derived_cl19])). 4.23/1.23 thf('106', plain, 4.23/1.23 (~ ( (g_both @ sk__8 @ sk__9)) | 4.23/1.23 ~ (![X18 : $i]: (h_false_only @ sk__8 @ X18)) | 4.23/1.23 ~ 4.23/1.23 (![X2 : $i, X3 : $i]: 4.23/1.23 (~ (h_false_only @ X2 @ (sk__18 @ X3 @ X2)) | ~ (g_both @ X2 @ X3)))), 4.23/1.23 inference('s_sup+', [status(thm)], 4.23/1.23 [zip_derived_cl1200, zip_derived_cl201])). 4.23/1.23 thf(zip_derived_cl2349, plain, ($false), 4.23/1.23 inference('sat_resolution*', [status(thm)], 4.23/1.23 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11', 4.23/1.23 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21', 4.23/1.23 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31', 4.23/1.23 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41', 4.23/1.23 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51', 4.23/1.23 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61', 4.23/1.23 '62', '63', '64', '65', '66', '67', '68', '69', '70', '71', 4.23/1.23 '72', '73', '74', '75', '76', '77', '78', '79', '80', '81', 4.23/1.23 '82', '83', '84', '85', '86', '87', '88', '89', '90', '91', 4.23/1.23 '92', '93', '94', '95', '96', '97', '98', '99', '100', '101', 4.23/1.23 '102', '103', '104', '105', '106'])). 4.23/1.23 4.23/1.23 % SZS output end Refutation 4.23/1.23 4.23/1.23 4.23/1.23 % Terminating... 5.33/1.34 % Runner terminated. 5.33/1.35 % Zipperpin 1.5 exiting 5.33/1.36 EOF