0.10/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.egDwP5m1Dm true 0.13/0.34 % Computer : n014.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 12:07:34 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 120 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.53/0.67 % Total configuration time : 828 0.53/0.67 % Estimated wc time : 983 0.53/0.67 % Estimated cpu time (8 cpus) : 122.875 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 141.92/18.80 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 177.88/24.65 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s 238.66/35.91 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 18s 278.29/42.44 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 18s 311.94/47.81 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 47s 311.94/47.82 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 39s 311.94/47.86 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 18s 346.00/54.16 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 10s 348.99/54.83 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 12s 364.02/57.81 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 10s 379.66/60.50 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 10s 402.19/64.16 % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 21s 413.41/65.95 % /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 18s 419.73/66.93 % /export/starexec/sandbox2/solver/bin/lams/15_lcnf_noform.sh running for 18s 426.35/67.93 % /export/starexec/sandbox2/solver/bin/lams/8_sh.eqenc2.sh running for 6s 441.70/70.61 % /export/starexec/sandbox2/solver/bin/lams/8_cmb.lcnf4.sh running for 6s 450.25/72.19 % /export/starexec/sandbox2/solver/bin/lams/8_new_l_av.sh running for 14s 460.99/73.99 % /export/starexec/sandbox2/solver/bin/lams/10_forms1.sh running for 12s 481.48/77.23 % /export/starexec/sandbox2/solver/bin/lams/10_forms4.sh running for 12s 532.42/84.06 % /export/starexec/sandbox2/solver/bin/lams/15_ch_av2.sh running for 16s 539.01/85.07 % /export/starexec/sandbox2/solver/bin/lams/15_sine_deep.sh running for 26s 539.63/85.16 % /export/starexec/sandbox2/solver/bin/lams/10_shallow_sine.sh running for 18s 545.26/86.04 % /export/starexec/sandbox2/solver/bin/lams/20_new_c.s3.sh running for 24s 546.24/86.22 % /export/starexec/sandbox2/solver/bin/lams/10_forms2.sh running for 12s 550.92/86.93 % /export/starexec/sandbox2/solver/bin/lams/8_sh.or.sh running for 14s 565.45/89.05 % /export/starexec/sandbox2/solver/bin/lams/15_combs_pe.sh running for 12s 611.61/94.94 % /export/starexec/sandbox2/solver/bin/lams/15_b.split.li.sh running for 26s 637.78/98.31 % /export/starexec/sandbox2/solver/bin/lams/18_sh1.sh running for 21s 651.66/100.13 % /export/starexec/sandbox2/solver/bin/lams/8_no_ord.sh running for 6s 657.75/100.97 % /export/starexec/sandbox2/solver/bin/lams/10_forms3.sh running for 12s 657.75/101.08 % /export/starexec/sandbox2/solver/bin/lams/8_lcnf_new_simp.sh running for 10s 676.39/103.38 % /export/starexec/sandbox2/solver/bin/lams/8_unif0.sh running for 14s 696.62/105.96 % /export/starexec/sandbox2/solver/bin/lams/10_32.sh running for 12s 728.42/110.11 % /export/starexec/sandbox2/solver/bin/lams/8_b5.l2.sh running for 6s 735.33/111.08 % /export/starexec/sandbox2/solver/bin/lams/8_s6.2.3.sh running for 6s 735.88/111.15 % /export/starexec/sandbox2/solver/bin/lams/8_c.preprocess2.sh running for 13s 750.21/113.33 % /export/starexec/sandbox2/solver/bin/lams/15_l_e.sh running for 18s 770.41/116.03 % /export/starexec/sandbox2/solver/bin/lams/20_sh4.sh running for 18s 778.57/117.06 % /export/starexec/sandbox2/solver/bin/lams/8_sh.eqenc.sh running for 6s 779.18/117.22 % /export/starexec/sandbox2/solver/bin/lams/5_sp_new2.sh running for 6s 785.76/118.01 % Solved by lams/8_sh.eqenc.sh. 785.76/118.01 % done 1944 iterations in 0.871s 785.76/118.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 785.76/118.01 % SZS output start Refutation 785.76/118.01 thf(sk__type, type, sk_: $i > $i > $o). 785.76/118.01 thf('$_eq_proxy_type', type, '$_eq_proxy': !>[Tb0:$tType]: (Tb0 > Tb0 > $o)). 785.76/118.01 thf(sk__3_type, type, sk__3: $i). 785.76/118.01 thf(sk__6_type, type, sk__6: $i). 785.76/118.01 thf(sk__2_type, type, sk__2: $i). 785.76/118.01 thf(sk__5_type, type, sk__5: $i). 785.76/118.01 thf(sk__4_type, type, sk__4: $i). 785.76/118.01 thf(sk__1_type, type, sk__1: $i). 785.76/118.01 thf(cSIX_THEOREM_pme, conjecture, 785.76/118.01 (![R:( $i > $i > $o ),A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: 785.76/118.01 ( ( ( ( A ) != ( B ) ) & ( ( A ) != ( C ) ) & ( ( A ) != ( D ) ) & 785.76/118.01 ( ( B ) != ( C ) ) & ( ( B ) != ( D ) ) & ( ( B ) != ( E ) ) & 785.76/118.01 ( ( B ) != ( F ) ) & ( ( C ) != ( E ) ) & ( ( E ) != ( F ) ) & 785.76/118.01 ( ( D ) != ( F ) ) & ( ( D ) != ( E ) ) & ( ( C ) != ( F ) ) & 785.76/118.01 ( ( C ) != ( D ) ) & ( ( A ) != ( F ) ) & ( ( A ) != ( E ) ) & 785.76/118.01 ( ![Xx:$i,Xy:$i]: ( ( R @ Xx @ Xy ) => ( R @ Xy @ Xx ) ) ) ) => 785.76/118.01 ( ?[Xa:$i,Xb:$i,Xc:$i]: 785.76/118.01 ( ( ( Xb ) != ( Xc ) ) & 785.76/118.01 ( ( ( ~( R @ Xb @ Xc ) ) & ( ~( R @ Xa @ Xc ) ) & 785.76/118.01 ( ~( R @ Xa @ Xb ) ) ) | 785.76/118.01 ( ( R @ Xb @ Xc ) & ( R @ Xa @ Xc ) & ( R @ Xa @ Xb ) ) ) & 785.76/118.01 ( ( Xa ) != ( Xc ) ) & ( ( Xa ) != ( Xb ) ) ) ) ))). 785.76/118.01 thf(zf_stmt_0, negated_conjecture, 785.76/118.01 (~( ![R:( $i > $i > $o ),A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: 785.76/118.01 ( ( ( ( A ) != ( B ) ) & ( ( A ) != ( C ) ) & ( ( A ) != ( D ) ) & 785.76/118.01 ( ( B ) != ( C ) ) & ( ( B ) != ( D ) ) & ( ( B ) != ( E ) ) & 785.76/118.01 ( ( B ) != ( F ) ) & ( ( C ) != ( E ) ) & ( ( E ) != ( F ) ) & 785.76/118.01 ( ( D ) != ( F ) ) & ( ( D ) != ( E ) ) & ( ( C ) != ( F ) ) & 785.76/118.01 ( ( C ) != ( D ) ) & ( ( A ) != ( F ) ) & ( ( A ) != ( E ) ) & 785.76/118.01 ( ![Xx:$i,Xy:$i]: ( ( R @ Xx @ Xy ) => ( R @ Xy @ Xx ) ) ) ) => 785.76/118.01 ( ?[Xa:$i,Xb:$i,Xc:$i]: 785.76/118.01 ( ( ( Xb ) != ( Xc ) ) & 785.76/118.01 ( ( ( ~( R @ Xb @ Xc ) ) & ( ~( R @ Xa @ Xc ) ) & 785.76/118.01 ( ~( R @ Xa @ Xb ) ) ) | 785.76/118.01 ( ( R @ Xb @ Xc ) & ( R @ Xa @ Xc ) & ( R @ Xa @ Xb ) ) ) & 785.76/118.01 ( ( Xa ) != ( Xc ) ) & ( ( Xa ) != ( Xb ) ) ) ) ) )), 785.76/118.01 inference('cnf.neg', [status(esa)], [cSIX_THEOREM_pme])). 785.76/118.01 thf(zf_stmt_1, negated_conjecture, (sk__1 != sk__6), 785.76/118.01 inference('cnf', [status(esa)], [zf_stmt_0])).thf(zf_stmt_1, negated_conjecture, 785.76/118.01 (sk__3 != sk__6), 785.76/118.01 inference('cnf', 785.76/118.01 [status(esa)], 785.76/118.01 [zf_stmt_0])). 785.76/118.01 thf(zf_stmt_1, negated_conjecture, (sk__4 != sk__6), 785.76/118.01 inference('cnf', [status(esa)], [zf_stmt_0])).thf(zf_stmt_1, negated_conjecture, 785.76/118.01 (sk__5 != sk__6), 785.76/118.01 inference('cnf', 785.76/118.01 [status(esa)], 785.76/118.01 [zf_stmt_0])). 785.76/118.01 thf(zf_stmt_1, negated_conjecture, (sk__2 != sk__6), 785.76/118.01 inference('cnf', [status(esa)], [zf_stmt_0])).thf(zf_stmt_1, negated_conjecture, 785.76/118.01 (sk__1 != sk__2), 785.76/118.01 inference('cnf', 785.76/118.01 [status(esa)], 785.76/118.01 [zf_stmt_0])). 785.76/118.01 thf(zf_stmt_1, negated_conjecture, (sk__1 != sk__3), 785.76/118.01 inference('cnf', [status(esa)], [zf_stmt_0])).thf(zf_stmt_1, negated_conjecture, 785.76/118.01 (sk__1 != sk__4), 785.76/118.01 inference('cnf', 785.76/118.01 [status(esa)], 785.76/118.01 [zf_stmt_0])). 785.76/118.01 thf(zf_stmt_1, negated_conjecture, (sk__2 != sk__3), 785.76/118.01 inference('cnf', [status(esa)], [zf_stmt_0])).thf(zf_stmt_1, negated_conjecture, 785.76/118.01 (sk__2 != sk__4), 785.76/118.01 inference('cnf', 785.76/118.01 [status(esa)], 785.76/118.01 [zf_stmt_0])). 785.76/118.01 thf(zf_stmt_1, negated_conjecture, (sk__2 != sk__5), 785.76/118.01 inference('cnf', [status(esa)], [zf_stmt_0])).thf(zf_stmt_1, negated_conjecture, 785.76/118.01 (sk__3 != sk__5), 785.76/118.01 inference('cnf', 785.76/118.01 [status(esa)], 785.76/118.01 [zf_stmt_0])). 785.76/118.01 thf(zf_stmt_1, negated_conjecture, (sk__4 != sk__5), 785.76/118.01 inference('cnf', [status(esa)], [zf_stmt_0])).thf(zf_stmt_1, negated_conjecture, 785.76/118.01 (sk__3 != sk__4), 785.76/118.01 inference('cnf', 785.76/118.01 [status(esa)], 785.76/118.01 [zf_stmt_0])). 785.76/118.01 thf(zf_stmt_1, negated_conjecture, (sk__1 != sk__5), 785.76/118.01 inference('cnf', [status(esa)], [zf_stmt_0])).thf(zf_stmt_1, negated_conjecture, 785.76/118.01 (sk_ @ Xy @ Xx 785.76/118.01 ~ sk_ @ Xx @ Xy), 785.76/118.01 inference('cnf', 785.76/118.01 [status(esa)], 785.76/118.01 [zf_stmt_0])). 785.76/118.01 thf(zf_stmt_1, negated_conjecture, 785.76/118.01 (Xa = Xb Xa = Xc sk_ @ Xa @ Xb sk_ @ Xa @ Xc 785.76/118.01 sk_ @ Xb @ Xc Xb = Xc), 785.76/118.01 inference('cnf', [status(esa)], [zf_stmt_0])).thf(zf_stmt_1, negated_conjecture, 785.76/118.01 (Xa = Xb Xa = Xc 785.76/118.01 ~ sk_ @ Xa @ Xb 785.76/118.01 ~ sk_ @ Xa @ Xc 785.76/118.01 ~ sk_ @ Xb @ Xc 785.76/118.01 Xb = Xc), 785.76/118.01 inference('cnf', 785.76/118.01 [status(esa)], 785.76/118.01 [zf_stmt_0])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl4, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl43, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ sk__4 @ sk__6) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl4])). 785.76/118.01 thf(zip_derived_cl142, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ X0))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ X0))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl43])). 785.76/118.01 thf(zip_derived_cl5, plain, (~ ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1614, plain, 785.76/118.01 ((( (sk_ @ sk__4 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5) 785.76/118.01 | (sk_ @ sk__5 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ X0))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl5])). 785.76/118.01 thf('0', plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__5)) | ( (sk_ @ sk__5 @ sk__6)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ X0))) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1614])). 785.76/118.01 thf('1', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ X0))) | 785.76/118.01 ( (sk_ @ sk__4 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl43])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl14, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl28, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__4 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl14])). 785.76/118.01 thf(zip_derived_cl115, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__5)) <= (( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl28])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl249, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__4)) <= (( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl12, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl33, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__2 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__2) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 785.76/118.01 thf(zip_derived_cl125, plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__5)) <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl33])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl278, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl12, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl282, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl12])). 785.76/118.01 thf(zip_derived_cl2746, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__5)) & ( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl249, zip_derived_cl282])). 785.76/118.01 thf(zip_derived_cl11, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2774, plain, 785.76/118.01 (((~ (sk_ @ sk__2 @ sk__4) | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__5)) & ( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2746, zip_derived_cl11])). 785.76/118.01 thf('2', plain, 785.76/118.01 (~ ( (sk_ @ sk__2 @ sk__5)) | ~ ( (sk_ @ sk__4 @ sk__5)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4)) | ~ ( (sk_ @ sk__2 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2774])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl4, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl27, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__4 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl4])). 785.76/118.01 thf(zip_derived_cl112, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl27])). 785.76/118.01 thf(zip_derived_cl6, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1019, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4) 785.76/118.01 | (sk_ @ sk__2 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl6])). 785.76/118.01 thf('3', plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__4)) | ( (sk_ @ sk__2 @ sk__6)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1019])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl16, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl37, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__1 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl16])). 785.76/118.01 thf(zip_derived_cl132, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl37])). 785.76/118.01 thf(zip_derived_cl12, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1442, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1) 785.76/118.01 | (sk_ @ sk__2 @ sk__5))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl12])). 785.76/118.01 thf('4', plain, 785.76/118.01 (~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__1)) | ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1)) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1442])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl29, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__3 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl3])). 785.76/118.01 thf(zip_derived_cl117, plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__6)) <= (( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl29])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl255, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__3)) <= (( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl5, plain, (~ ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl26, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__5 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__5))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl5])). 785.76/118.01 thf(zip_derived_cl111, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__6)) <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl26])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl236, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl5, plain, (~ ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl240, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl5])). 785.76/118.01 thf(zip_derived_cl2167, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3) 785.76/118.01 | ~ (sk_ @ sk__5 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)) & ( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl240])). 785.76/118.01 thf('5', plain, 785.76/118.01 (~ ( (sk_ @ sk__5 @ sk__3)) | ~ ( (sk_ @ sk__3 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3)) | ~ ( (sk_ @ sk__5 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2167])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl12, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl307, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ sk__5) 785.76/118.01 | (sk_ @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__5 @ X0))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl12])). 785.76/118.01 thf(zip_derived_cl410, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl307])). 785.76/118.01 thf(zip_derived_cl13, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl3284, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3) 785.76/118.01 | (sk_ @ sk__5 @ sk__3))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl13])). 785.76/118.01 thf('6', plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)) | ( (sk_ @ sk__5 @ sk__3)) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__3)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl3284])). 785.76/118.01 thf(zip_derived_cl110, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl26])). 785.76/118.01 thf(zip_derived_cl4, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl967, plain, 785.76/118.01 ((( (sk_ @ sk__4 @ sk__6) 785.76/118.01 | (sk_ @ sk__4 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl4])). 785.76/118.01 thf('7', plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__5)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))) | 785.76/118.01 ( (sk_ @ sk__4 @ sk__6)) | ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl967])). 785.76/118.01 thf('8', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl307])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl8, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__3)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl297, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__1) 785.76/118.01 | (sk_ @ sk__3 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl8])). 785.76/118.01 thf('9', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__1))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl297])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl36, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__1 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl2])). 785.76/118.01 thf(zip_derived_cl130, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl36])). 785.76/118.01 thf(zip_derived_cl4, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1369, plain, 785.76/118.01 ((( (sk_ @ sk__4 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1) 785.76/118.01 | (sk_ @ sk__4 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl4])). 785.76/118.01 thf('10', plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__1)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1)) | ( (sk_ @ sk__4 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1369])). 785.76/118.01 thf(zip_derived_cl983, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl967])). 785.76/118.01 thf(zip_derived_cl14, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('11', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl983, zip_derived_cl14])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl4, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl301, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ sk__6) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__6 @ X0))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl4])). 785.76/118.01 thf(zip_derived_cl398, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__6 @ X0))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__6 @ X0))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl301])). 785.76/118.01 thf(zip_derived_cl5, plain, (~ ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl3143, plain, 785.76/118.01 ((( (sk_ @ sk__6 @ sk__5) 785.76/118.01 | (sk_ @ sk__4 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__6 @ X0))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl398, zip_derived_cl5])). 785.76/118.01 thf('12', plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5)) | ( (sk_ @ sk__6 @ sk__5)) | 785.76/118.01 ( (sk_ @ sk__4 @ sk__5)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__6 @ X0)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl3143])). 785.76/118.01 thf('13', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | (sk_ @ sk__6 @ X0))) | 785.76/118.01 ( (sk_ @ sk__4 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl301])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl5, plain, (~ ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl284, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ sk__6 @ sk__5))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl5])). 785.76/118.01 thf(zip_derived_cl367, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__5)) <= (( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl284])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl843, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__6)) <= (( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl282, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl12])). 785.76/118.01 thf(zip_derived_cl2742, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)) & ( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl843, zip_derived_cl282])). 785.76/118.01 thf(zip_derived_cl6, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2764, plain, 785.76/118.01 (((~ (sk_ @ sk__2 @ sk__6) | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)) & ( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2742, zip_derived_cl6])). 785.76/118.01 thf('14', plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)) | ~ ( (sk_ @ sk__2 @ sk__6)) | 785.76/118.01 ~ ( (sk_ @ sk__2 @ sk__5)) | ~ ( (sk_ @ sk__6 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2764])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl8, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__3)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl39, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__1 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl8])). 785.76/118.01 thf(zip_derived_cl136, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl39])). 785.76/118.01 thf(zip_derived_cl10, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1564, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1) 785.76/118.01 | (sk_ @ sk__2 @ sk__3))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl10])). 785.76/118.01 thf('15', plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__3)) | ( (sk_ @ sk__2 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1564])). 785.76/118.01 thf(zip_derived_cl112, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl27])). 785.76/118.01 thf(zip_derived_cl2, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1020, plain, 785.76/118.01 ((( (sk_ @ sk__1 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4) 785.76/118.01 | (sk_ @ sk__1 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl2])). 785.76/118.01 thf('16', plain, 785.76/118.01 (( (sk_ @ sk__1 @ sk__4)) | ( (sk_ @ sk__1 @ sk__6)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1020])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl11, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl34, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__2 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__2) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl11])). 785.76/118.01 thf(zip_derived_cl127, plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__4)) <= (( (sk_ @ sk__2 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl34])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl491, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__2)) <= (( (sk_ @ sk__2 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl15, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl31, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__3 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl15])). 785.76/118.01 thf(zip_derived_cl121, plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__4)) <= (( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl31])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl266, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl15, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl270, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl266, zip_derived_cl15])). 785.76/118.01 thf(zip_derived_cl2593, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2) 785.76/118.01 | ~ (sk_ @ sk__3 @ sk__2) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__2))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)) & ( (sk_ @ sk__2 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl491, zip_derived_cl270])). 785.76/118.01 thf('17', plain, 785.76/118.01 (~ ( (sk_ @ sk__3 @ sk__2)) | ~ ( (sk_ @ sk__3 @ sk__4)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__2)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2)) | ~ ( (sk_ @ sk__2 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2593])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl11, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl292, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__2) 785.76/118.01 | (sk_ @ sk__4 @ sk__2))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl11])). 785.76/118.01 thf(zip_derived_cl383, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__2)) <= (( (sk_ @ sk__4 @ sk__2)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl292])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl907, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__2))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__2)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl383, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl912, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__2)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__2)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl907])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl2032, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__2)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl912, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl11, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('18', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__2))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2032, zip_derived_cl11])). 785.76/118.01 thf(zip_derived_cl114, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl28])). 785.76/118.01 thf(zip_derived_cl16, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1101, plain, 785.76/118.01 ((( (sk_ @ sk__1 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4) 785.76/118.01 | (sk_ @ sk__1 @ sk__5))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl16])). 785.76/118.01 thf('19', plain, 785.76/118.01 (( (sk_ @ sk__1 @ sk__5)) | ( (sk_ @ sk__1 @ sk__4)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1101])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl13, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl30, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__3 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl13])). 785.76/118.01 thf(zip_derived_cl119, plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__5)) <= (( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl30])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl261, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__3)) <= (( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl282, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl12])). 785.76/118.01 thf(zip_derived_cl2748, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)) & ( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl261, zip_derived_cl282])). 785.76/118.01 thf(zip_derived_cl10, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2780, plain, 785.76/118.01 (((~ (sk_ @ sk__2 @ sk__3) | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)) & ( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2748, zip_derived_cl10])). 785.76/118.01 thf('20', plain, 785.76/118.01 (~ ( (sk_ @ sk__2 @ sk__3)) | ~ ( (sk_ @ sk__3 @ sk__5)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3)) | ~ ( (sk_ @ sk__2 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2780])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl6, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl32, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__2 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__2) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl6])). 785.76/118.01 thf(zip_derived_cl122, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__2))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__2))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl32])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1244, plain, 785.76/118.01 ((( (sk_ @ sk__3 @ sk__2) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2) 785.76/118.01 | (sk_ @ sk__3 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__2))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl122, zip_derived_cl3])). 785.76/118.01 thf('21', plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__2)) | ( (sk_ @ sk__3 @ sk__6)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__2))) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1244])). 785.76/118.01 thf(zip_derived_cl367, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__5)) <= (( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl284])). 785.76/118.01 thf(zip_derived_cl117, plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__6)) <= (( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl29])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl254, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl258, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl254, zip_derived_cl3])). 785.76/118.01 thf(zip_derived_cl2418, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5) 785.76/118.01 | ~ (sk_ @ sk__3 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__5))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__6)) & ( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl258])). 785.76/118.01 thf(zip_derived_cl13, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2438, plain, 785.76/118.01 (((~ (sk_ @ sk__3 @ sk__5) | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__5))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__6)) & ( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2418, zip_derived_cl13])). 785.76/118.01 thf('22', plain, 785.76/118.01 (~ ( (sk_ @ sk__3 @ sk__5)) | ~ ( (sk_ @ sk__6 @ sk__5)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__5)) | ~ ( (sk_ @ sk__3 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2438])). 785.76/118.01 thf(zip_derived_cl114, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl28])). 785.76/118.01 thf(zip_derived_cl13, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1099, plain, 785.76/118.01 ((( (sk_ @ sk__3 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4) 785.76/118.01 | (sk_ @ sk__3 @ sk__5))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl13])). 785.76/118.01 thf('23', plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__4)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__5)) | ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1099])). 785.76/118.01 thf(zip_derived_cl132, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl37])). 785.76/118.01 thf(zip_derived_cl14, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1440, plain, 785.76/118.01 ((( (sk_ @ sk__4 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1) 785.76/118.01 | (sk_ @ sk__4 @ sk__5))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl14])). 785.76/118.01 thf('24', plain, 785.76/118.01 (~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__4 @ sk__1)) | ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1)) | 785.76/118.01 ( (sk_ @ sk__4 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1440])). 785.76/118.01 thf(zip_derived_cl131, plain, 785.76/118.01 (( (sk_ @ sk__1 @ sk__6)) <= (( (sk_ @ sk__1 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl36])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl503, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__1)) <= (( (sk_ @ sk__1 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl113, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__6)) <= (( (sk_ @ sk__4 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl27])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl242, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl4, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl246, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl4])). 785.76/118.01 thf(zip_derived_cl2258, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1) 785.76/118.01 | ~ (sk_ @ sk__4 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)) & ( (sk_ @ sk__1 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl503, zip_derived_cl246])). 785.76/118.01 thf('25', plain, 785.76/118.01 (~ ( (sk_ @ sk__4 @ sk__1)) | ~ ( (sk_ @ sk__4 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1)) | ~ ( (sk_ @ sk__1 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2258])). 785.76/118.01 thf('26', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__2))) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl32])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl6, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl48, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ sk__2 @ sk__6) 785.76/118.01 | (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl6])). 785.76/118.01 thf('27', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl48])). 785.76/118.01 thf(zip_derived_cl130, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl36])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1370, plain, 785.76/118.01 ((( (sk_ @ sk__3 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1) 785.76/118.01 | (sk_ @ sk__3 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl3])). 785.76/118.01 thf('28', plain, 785.76/118.01 (~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__1)) | ( (sk_ @ sk__3 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1370])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl9, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl38, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( (sk_ @ sk__1 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl9])). 785.76/118.01 thf(zip_derived_cl135, plain, 785.76/118.01 (( (sk_ @ sk__1 @ sk__4)) <= (( (sk_ @ sk__1 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl38])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl515, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__1)) <= (( (sk_ @ sk__1 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl270, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl266, zip_derived_cl15])). 785.76/118.01 thf(zip_derived_cl2595, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1) 785.76/118.01 | ~ (sk_ @ sk__3 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)) & ( (sk_ @ sk__1 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl515, zip_derived_cl270])). 785.76/118.01 thf('29', plain, 785.76/118.01 (~ ( (sk_ @ sk__3 @ sk__1)) | ~ ( (sk_ @ sk__3 @ sk__4)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1)) | ~ ( (sk_ @ sk__1 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2595])). 785.76/118.01 thf('30', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__1 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl38])). 785.76/118.01 thf(zip_derived_cl126, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__2))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__2))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl34])). 785.76/118.01 thf(zip_derived_cl15, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1318, plain, 785.76/118.01 ((( (sk_ @ sk__3 @ sk__2) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2) 785.76/118.01 | (sk_ @ sk__3 @ sk__4))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__2))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl15])). 785.76/118.01 thf('31', plain, 785.76/118.01 (~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__2))) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__4)) | ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2)) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__2))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1318])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl12, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl291, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__2) 785.76/118.01 | (sk_ @ sk__5 @ sk__2))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl12])). 785.76/118.01 thf(zip_derived_cl381, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__2)) <= (( (sk_ @ sk__5 @ sk__2)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl291])). 785.76/118.01 thf(zip_derived_cl119, plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__5)) <= (( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl30])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl260, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl13, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl264, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl13])). 785.76/118.01 thf(zip_derived_cl2509, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2) 785.76/118.01 | ~ (sk_ @ sk__3 @ sk__2) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__2))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)) & ( (sk_ @ sk__5 @ sk__2)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl381, zip_derived_cl264])). 785.76/118.01 thf('32', plain, 785.76/118.01 (~ ( (sk_ @ sk__3 @ sk__2)) | ~ ( (sk_ @ sk__3 @ sk__5)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__2)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2)) | ~ ( (sk_ @ sk__5 @ sk__2))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2509])). 785.76/118.01 thf(zip_derived_cl125, plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__5)) <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl33])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl279, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__2)) <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl834, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__2))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl279, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl839, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__2)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__2)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl834])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl2008, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__2)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl839, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl12, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('33', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__2))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2008, zip_derived_cl12])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl10, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl293, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__2) 785.76/118.01 | (sk_ @ sk__3 @ sk__2))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl10])). 785.76/118.01 thf(zip_derived_cl385, plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__2)) <= (( (sk_ @ sk__3 @ sk__2)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl293])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl915, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__2)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl385, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl920, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl915])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl2034, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl920, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl10, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('34', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__2))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2034, zip_derived_cl10])). 785.76/118.01 thf(zip_derived_cl18, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | (sk_ @ X2 @ X3) 785.76/118.01 | (sk_ @ X2 @ X4) 785.76/118.01 | (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl45, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ sk__3 @ sk__6) 785.76/118.01 | (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl3])). 785.76/118.01 thf(zip_derived_cl146, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | (sk_ @ sk__3 @ X0))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | (sk_ @ sk__3 @ X0))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl45])). 785.76/118.01 thf(zip_derived_cl5, plain, (~ ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1647, plain, 785.76/118.01 ((( (sk_ @ sk__3 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5) 785.76/118.01 | (sk_ @ sk__5 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | (sk_ @ sk__3 @ X0))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl5])). 785.76/118.01 thf('35', plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__5)) | ( (sk_ @ sk__5 @ sk__6)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | (sk_ @ sk__3 @ X0))) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1647])). 785.76/118.01 thf(zip_derived_cl112, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl27])). 785.76/118.01 thf(zip_derived_cl5, plain, (~ ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1016, plain, 785.76/118.01 ((( (sk_ @ sk__5 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4) 785.76/118.01 | (sk_ @ sk__5 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl5])). 785.76/118.01 thf('36', plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__4)) | ( (sk_ @ sk__5 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1016])). 785.76/118.01 thf('37', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))) | 785.76/118.01 ( (sk_ @ sk__5 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl26])). 785.76/118.01 thf('38', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | (sk_ @ sk__3 @ X0))) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl45])). 785.76/118.01 thf(zip_derived_cl111, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__6)) <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl26])). 785.76/118.01 thf(zip_derived_cl282, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl12])). 785.76/118.01 thf(zip_derived_cl2743, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)) & ( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl282])). 785.76/118.01 thf(zip_derived_cl6, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2767, plain, 785.76/118.01 (((~ (sk_ @ sk__2 @ sk__6) | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)) & ( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2743, zip_derived_cl6])). 785.76/118.01 thf('39', plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)) | ~ ( (sk_ @ sk__5 @ sk__6)) | 785.76/118.01 ~ ( (sk_ @ sk__2 @ sk__6)) | ~ ( (sk_ @ sk__2 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2767])). 785.76/118.01 thf(zip_derived_cl279, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__2)) <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl6, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl290, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__2) 785.76/118.01 | (sk_ @ sk__6 @ sk__2))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl6])). 785.76/118.01 thf(zip_derived_cl379, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__2)) <= (( (sk_ @ sk__6 @ sk__2)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl290])). 785.76/118.01 thf(zip_derived_cl240, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl5])). 785.76/118.01 thf(zip_derived_cl2168, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__2) 785.76/118.01 | ~ (sk_ @ sk__5 @ sk__2) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__2))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)) & ( (sk_ @ sk__6 @ sk__2)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl379, zip_derived_cl240])). 785.76/118.01 thf(zip_derived_cl2198, plain, 785.76/118.01 ((~ (sk_ @ sk__5 @ sk__2)) <= (~ ( (sk_ @ sk__5 @ sk__2)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2168])). 785.76/118.01 thf('40', plain, (~ ( (sk_ @ sk__2 @ sk__5)) | ( (sk_ @ sk__5 @ sk__2))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl279, zip_derived_cl2198])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl11, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl308, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ sk__4) 785.76/118.01 | (sk_ @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__4 @ X0))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl11])). 785.76/118.01 thf(zip_derived_cl412, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl308])). 785.76/118.01 thf(zip_derived_cl15, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl3311, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3) 785.76/118.01 | (sk_ @ sk__4 @ sk__3))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl15])). 785.76/118.01 thf('41', plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)) | ( (sk_ @ sk__4 @ sk__3)) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__3)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl3311])). 785.76/118.01 thf(zip_derived_cl114, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl28])). 785.76/118.01 thf(zip_derived_cl12, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1100, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4) 785.76/118.01 | (sk_ @ sk__2 @ sk__5))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl12])). 785.76/118.01 thf('42', plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__4)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__5)) | ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1100])). 785.76/118.01 thf(zip_derived_cl1039, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1019])). 785.76/118.01 thf(zip_derived_cl11, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('43', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl1039, zip_derived_cl11])). 785.76/118.01 thf('44', plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__4)) | 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl308])). 785.76/118.01 thf('45', plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__4)) | 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__2)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl34])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl14, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl286, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | (sk_ @ sk__5 @ sk__4))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl14])). 785.76/118.01 thf(zip_derived_cl371, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__4)) <= (( (sk_ @ sk__5 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl286])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl860, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__5)) <= (( (sk_ @ sk__5 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl371, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl367, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__5)) <= (( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl284])). 785.76/118.01 thf(zip_derived_cl246, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl4])). 785.76/118.01 thf(zip_derived_cl2250, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5) 785.76/118.01 | ~ (sk_ @ sk__4 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__5))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)) & ( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl246])). 785.76/118.01 thf(zip_derived_cl14, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2270, plain, 785.76/118.01 (((~ (sk_ @ sk__4 @ sk__5) | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__5))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)) & ( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2250, zip_derived_cl14])). 785.76/118.01 thf(zip_derived_cl2272, plain, 785.76/118.01 ((~ (sk_ @ sk__4 @ sk__5)) <= (~ ( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2270])). 785.76/118.01 thf('46', plain, (( (sk_ @ sk__4 @ sk__5)) | ~ ( (sk_ @ sk__5 @ sk__4))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl860, zip_derived_cl2272])). 785.76/118.01 thf('47', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) | 785.76/118.01 ( (sk_ @ sk__4 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl28])). 785.76/118.01 thf(zip_derived_cl116, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl29])). 785.76/118.01 thf(zip_derived_cl6, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1143, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3) 785.76/118.01 | (sk_ @ sk__2 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl6])). 785.76/118.01 thf('48', plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__3)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__6)) | ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1143])). 785.76/118.01 thf(zip_derived_cl503, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__1)) <= (( (sk_ @ sk__1 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl123, plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__6)) <= (( (sk_ @ sk__2 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl32])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl272, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl6, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl276, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl272, zip_derived_cl6])). 785.76/118.01 thf(zip_derived_cl2674, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__6)) & ( (sk_ @ sk__1 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl503, zip_derived_cl276])). 785.76/118.01 thf('49', plain, 785.76/118.01 (~ ( (sk_ @ sk__2 @ sk__1)) | ~ ( (sk_ @ sk__2 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1)) | ~ ( (sk_ @ sk__1 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2674])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl4, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl285, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | (sk_ @ sk__6 @ sk__4))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl4])). 785.76/118.01 thf(zip_derived_cl369, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__4)) <= (( (sk_ @ sk__6 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl285])). 785.76/118.01 thf(zip_derived_cl276, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl272, zip_derived_cl6])). 785.76/118.01 thf(zip_derived_cl2668, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__6)) & ( (sk_ @ sk__6 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl369, zip_derived_cl276])). 785.76/118.01 thf(zip_derived_cl11, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2692, plain, 785.76/118.01 (((~ (sk_ @ sk__2 @ sk__4) | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__6)) & ( (sk_ @ sk__6 @ sk__4)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2668, zip_derived_cl11])). 785.76/118.01 thf('50', plain, 785.76/118.01 (~ ( (sk_ @ sk__6 @ sk__4)) | ~ ( (sk_ @ sk__2 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4)) | ~ ( (sk_ @ sk__2 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2692])). 785.76/118.01 thf(zip_derived_cl134, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl38])). 785.76/118.01 thf(zip_derived_cl11, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1505, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1) 785.76/118.01 | (sk_ @ sk__2 @ sk__4))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl11])). 785.76/118.01 thf('51', plain, 785.76/118.01 (~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__4)) | ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1)) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__1))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1505])). 785.76/118.01 thf('52', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) | 785.76/118.01 ( (sk_ @ sk__6 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl285])). 785.76/118.01 thf(zip_derived_cl116, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl29])). 785.76/118.01 thf(zip_derived_cl5, plain, (~ ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1140, plain, 785.76/118.01 ((( (sk_ @ sk__5 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3) 785.76/118.01 | (sk_ @ sk__5 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl5])). 785.76/118.01 thf('53', plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__3)) | ( (sk_ @ sk__5 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1140])). 785.76/118.01 thf(zip_derived_cl261, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__3)) <= (( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl810, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl261, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl815, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl810])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl2002, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl815, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl13, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('54', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2002, zip_derived_cl13])). 785.76/118.01 thf(zip_derived_cl249, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__4)) <= (( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl791, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl249, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl796, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl791])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl1998, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl796, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl14, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('55', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl1998, zip_derived_cl14])). 785.76/118.01 thf(zip_derived_cl112, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl27])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1018, plain, 785.76/118.01 ((( (sk_ @ sk__3 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4) 785.76/118.01 | (sk_ @ sk__3 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl3])). 785.76/118.01 thf('56', plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__4)) | ( (sk_ @ sk__3 @ sk__6)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1018])). 785.76/118.01 thf(zip_derived_cl1036, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1018])). 785.76/118.01 thf(zip_derived_cl15, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('57', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl1036, zip_derived_cl15])). 785.76/118.01 thf(zip_derived_cl371, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__4)) <= (( (sk_ @ sk__5 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl286])). 785.76/118.01 thf(zip_derived_cl264, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl13])). 785.76/118.01 thf(zip_derived_cl2505, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4) 785.76/118.01 | ~ (sk_ @ sk__3 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)) & ( (sk_ @ sk__5 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl371, zip_derived_cl264])). 785.76/118.01 thf(zip_derived_cl15, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2531, plain, 785.76/118.01 (((~ (sk_ @ sk__3 @ sk__4) | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)) & ( (sk_ @ sk__5 @ sk__4)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2505, zip_derived_cl15])). 785.76/118.01 thf('58', plain, 785.76/118.01 (~ ( (sk_ @ sk__3 @ sk__5)) | ~ ( (sk_ @ sk__5 @ sk__4)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4)) | ~ ( (sk_ @ sk__3 @ sk__4))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2531])). 785.76/118.01 thf(zip_derived_cl110, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl26])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl968, plain, 785.76/118.01 ((( (sk_ @ sk__3 @ sk__6) 785.76/118.01 | (sk_ @ sk__3 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl3])). 785.76/118.01 thf('59', plain, 785.76/118.01 (~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__5)) | ( (sk_ @ sk__3 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl968])). 785.76/118.01 thf(zip_derived_cl986, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl968])). 785.76/118.01 thf(zip_derived_cl13, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('60', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl986, zip_derived_cl13])). 785.76/118.01 thf('61', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl29])). 785.76/118.01 thf(zip_derived_cl133, plain, 785.76/118.01 (( (sk_ @ sk__1 @ sk__5)) <= (( (sk_ @ sk__1 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl37])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl509, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__1)) <= (( (sk_ @ sk__1 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl282, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl12])). 785.76/118.01 thf(zip_derived_cl2751, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)) & ( (sk_ @ sk__1 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl509, zip_derived_cl282])). 785.76/118.01 thf('62', plain, 785.76/118.01 (~ ( (sk_ @ sk__1 @ sk__5)) | ~ ( (sk_ @ sk__2 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1)) | ~ ( (sk_ @ sk__2 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2751])). 785.76/118.01 thf(zip_derived_cl110, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl26])). 785.76/118.01 thf(zip_derived_cl2, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl970, plain, 785.76/118.01 ((( (sk_ @ sk__1 @ sk__6) 785.76/118.01 | (sk_ @ sk__1 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__1 @ sk__5))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl2])). 785.76/118.01 thf('63', plain, 785.76/118.01 (( (sk_ @ sk__1 @ sk__5)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))) | 785.76/118.01 ( (sk_ @ sk__1 @ sk__6)) | ( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl970])). 785.76/118.01 thf(zip_derived_cl992, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__5)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl970])). 785.76/118.01 thf(zip_derived_cl16, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('64', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__5))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl992, zip_derived_cl16])). 785.76/118.01 thf(zip_derived_cl110, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl26])). 785.76/118.01 thf(zip_derived_cl6, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl969, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__6) 785.76/118.01 | (sk_ @ sk__2 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl6])). 785.76/118.01 thf('65', plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__5)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6))) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__6)) | ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl969])). 785.76/118.01 thf(zip_derived_cl989, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl969])). 785.76/118.01 thf(zip_derived_cl12, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('66', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__5))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl989, zip_derived_cl12])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl2, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl294, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__1) 785.76/118.01 | (sk_ @ sk__6 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl2])). 785.76/118.01 thf(zip_derived_cl387, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__1)) <= (( (sk_ @ sk__6 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl294])). 785.76/118.01 thf(zip_derived_cl258, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl254, zip_derived_cl3])). 785.76/118.01 thf(zip_derived_cl2427, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1) 785.76/118.01 | ~ (sk_ @ sk__3 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__6)) & ( (sk_ @ sk__6 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl258])). 785.76/118.01 thf('67', plain, 785.76/118.01 (~ ( (sk_ @ sk__3 @ sk__1)) | ~ ( (sk_ @ sk__6 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1)) | ~ ( (sk_ @ sk__3 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2427])). 785.76/118.01 thf(zip_derived_cl1163, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1143])). 785.76/118.01 thf(zip_derived_cl10, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('68', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl1163, zip_derived_cl10])). 785.76/118.01 thf(zip_derived_cl113, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__6)) <= (( (sk_ @ sk__4 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl27])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl243, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__4)) <= (( (sk_ @ sk__4 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl276, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl272, zip_derived_cl6])). 785.76/118.01 thf(zip_derived_cl2669, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)) & ( (sk_ @ sk__2 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl276])). 785.76/118.01 thf(zip_derived_cl11, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2695, plain, 785.76/118.01 (((~ (sk_ @ sk__2 @ sk__4) | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)) & ( (sk_ @ sk__2 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2669, zip_derived_cl11])). 785.76/118.01 thf('69', plain, 785.76/118.01 (~ ( (sk_ @ sk__4 @ sk__6)) | ~ ( (sk_ @ sk__2 @ sk__4)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4)) | ~ ( (sk_ @ sk__2 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2695])). 785.76/118.01 thf(zip_derived_cl243, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__4)) <= (( (sk_ @ sk__4 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl783, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl788, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl783])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl1996, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl788, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl4, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('70', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl1996, zip_derived_cl4])). 785.76/118.01 thf(zip_derived_cl255, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__3)) <= (( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl276, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl272, zip_derived_cl6])). 785.76/118.01 thf(zip_derived_cl2671, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__6)) & ( (sk_ @ sk__2 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl276])). 785.76/118.01 thf(zip_derived_cl10, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2701, plain, 785.76/118.01 (((~ (sk_ @ sk__2 @ sk__3) | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__6)) & ( (sk_ @ sk__2 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2671, zip_derived_cl10])). 785.76/118.01 thf('71', plain, 785.76/118.01 (~ ( (sk_ @ sk__2 @ sk__3)) | ~ ( (sk_ @ sk__2 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3)) | ~ ( (sk_ @ sk__3 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2701])). 785.76/118.01 thf(zip_derived_cl120, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl31])). 785.76/118.01 thf(zip_derived_cl11, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1217, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3) 785.76/118.01 | (sk_ @ sk__2 @ sk__4))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl11])). 785.76/118.01 thf('72', plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__4)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))) | 785.76/118.01 ( (sk_ @ sk__2 @ sk__3)) | ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1217])). 785.76/118.01 thf(zip_derived_cl134, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl38])). 785.76/118.01 thf(zip_derived_cl15, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1504, plain, 785.76/118.01 ((( (sk_ @ sk__3 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1) 785.76/118.01 | (sk_ @ sk__3 @ sk__4))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl15])). 785.76/118.01 thf('73', plain, 785.76/118.01 (~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__4)) | ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1)) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__1))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1504])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl15, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl289, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | (sk_ @ sk__4 @ sk__3))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl15])). 785.76/118.01 thf('74', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__3))) | 785.76/118.01 ( (sk_ @ sk__4 @ sk__3))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl289])). 785.76/118.01 thf(zip_derived_cl113, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__6)) <= (( (sk_ @ sk__4 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl27])). 785.76/118.01 thf(zip_derived_cl270, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl266, zip_derived_cl15])). 785.76/118.01 thf(zip_derived_cl2587, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6) 785.76/118.01 | ~ (sk_ @ sk__3 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)) & ( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl270])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2611, plain, 785.76/118.01 (((~ (sk_ @ sk__3 @ sk__6) | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)) & ( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2587, zip_derived_cl3])). 785.76/118.01 thf('75', plain, 785.76/118.01 (~ ( (sk_ @ sk__4 @ sk__6)) | ~ ( (sk_ @ sk__3 @ sk__4)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)) | ~ ( (sk_ @ sk__3 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2611])). 785.76/118.01 thf(zip_derived_cl369, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__4)) <= (( (sk_ @ sk__6 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl285])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl851, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__6)) <= (( (sk_ @ sk__6 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl369, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl270, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl266, zip_derived_cl15])). 785.76/118.01 thf(zip_derived_cl2586, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6) 785.76/118.01 | ~ (sk_ @ sk__3 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)) & ( (sk_ @ sk__6 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl851, zip_derived_cl270])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2608, plain, 785.76/118.01 (((~ (sk_ @ sk__3 @ sk__6) | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)) & ( (sk_ @ sk__6 @ sk__4)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2586, zip_derived_cl3])). 785.76/118.01 thf(zip_derived_cl2610, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2608])). 785.76/118.01 thf(zip_derived_cl4, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('76', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2610, zip_derived_cl4])). 785.76/118.01 thf(zip_derived_cl255, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__3)) <= (( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl246, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl4])). 785.76/118.01 thf(zip_derived_cl2255, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__3) 785.76/118.01 | ~ (sk_ @ sk__4 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)) & ( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl246])). 785.76/118.01 thf('77', plain, 785.76/118.01 (~ ( (sk_ @ sk__4 @ sk__6)) | ~ ( (sk_ @ sk__4 @ sk__3)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__3)) | ~ ( (sk_ @ sk__3 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2255])). 785.76/118.01 thf(zip_derived_cl255, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__3)) <= (( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl799, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl804, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl799])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl2000, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl804, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('78', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__3))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2000, zip_derived_cl3])). 785.76/118.01 thf(zip_derived_cl130, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl36])). 785.76/118.01 thf(zip_derived_cl6, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1371, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1) 785.76/118.01 | (sk_ @ sk__2 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl6])). 785.76/118.01 thf('79', plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__1)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1)) | ( (sk_ @ sk__2 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1371])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl9, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl296, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__1) 785.76/118.01 | (sk_ @ sk__4 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl9])). 785.76/118.01 thf('80', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__4 @ sk__1))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl296])). 785.76/118.01 thf(zip_derived_cl130, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl36])). 785.76/118.01 thf(zip_derived_cl5, plain, (~ ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1368, plain, 785.76/118.01 ((( (sk_ @ sk__5 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1) 785.76/118.01 | (sk_ @ sk__5 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl5])). 785.76/118.01 thf('81', plain, 785.76/118.01 (~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__5 @ sk__6)) | ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1)) | 785.76/118.01 ( (sk_ @ sk__5 @ sk__1))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1368])). 785.76/118.01 thf(zip_derived_cl387, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__1)) <= (( (sk_ @ sk__6 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl294])). 785.76/118.01 thf(zip_derived_cl246, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl4])). 785.76/118.01 thf(zip_derived_cl2259, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1) 785.76/118.01 | ~ (sk_ @ sk__4 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__6)) & ( (sk_ @ sk__6 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl246])). 785.76/118.01 thf('82', plain, 785.76/118.01 (~ ( (sk_ @ sk__4 @ sk__1)) | ~ ( (sk_ @ sk__4 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1)) | ~ ( (sk_ @ sk__6 @ sk__1))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2259])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl16, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl295, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__1) 785.76/118.01 | (sk_ @ sk__5 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl16])). 785.76/118.01 thf(zip_derived_cl389, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__1)) <= (( (sk_ @ sk__5 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl295])). 785.76/118.01 thf(zip_derived_cl115, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__5)) <= (( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl28])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl248, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl14, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl252, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl248, zip_derived_cl14])). 785.76/118.01 thf(zip_derived_cl2344, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1) 785.76/118.01 | ~ (sk_ @ sk__4 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__5)) & ( (sk_ @ sk__5 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl389, zip_derived_cl252])). 785.76/118.01 thf('83', plain, 785.76/118.01 (~ ( (sk_ @ sk__5 @ sk__1)) | ~ ( (sk_ @ sk__4 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1)) | ~ ( (sk_ @ sk__4 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2344])). 785.76/118.01 thf('84', plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__1)) | 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl294])). 785.76/118.01 thf('85', plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__5)) | 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl284])). 785.76/118.01 thf(zip_derived_cl111, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__6)) <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl26])). 785.76/118.01 thf(zip_derived_cl252, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl248, zip_derived_cl14])). 785.76/118.01 thf(zip_derived_cl2335, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6) 785.76/118.01 | ~ (sk_ @ sk__4 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)) & ( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl252])). 785.76/118.01 thf(zip_derived_cl4, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2359, plain, 785.76/118.01 (((~ (sk_ @ sk__4 @ sk__6) | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)) & ( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2335, zip_derived_cl4])). 785.76/118.01 thf('86', plain, 785.76/118.01 (~ ( (sk_ @ sk__4 @ sk__6)) | ~ ( (sk_ @ sk__5 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)) | ~ ( (sk_ @ sk__4 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2359])). 785.76/118.01 thf('87', plain, 785.76/118.01 (~ ( (sk_ @ sk__4 @ sk__6)) | ~ ( (sk_ @ sk__6 @ sk__5)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__5)) | ~ ( (sk_ @ sk__4 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2270])). 785.76/118.01 thf(zip_derived_cl111, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__6)) <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl26])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl237, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__5)) <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl775, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__5))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl780, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__5)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__5)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl775])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl1972, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl780, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl5, plain, (~ ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('88', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__5))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl1972, zip_derived_cl5])). 785.76/118.01 thf(zip_derived_cl249, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__4)) <= (( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl369, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__4)) <= (( (sk_ @ sk__6 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl285])). 785.76/118.01 thf(zip_derived_cl240, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl5])). 785.76/118.01 thf(zip_derived_cl2164, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__4) 785.76/118.01 | ~ (sk_ @ sk__5 @ sk__4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)) & ( (sk_ @ sk__6 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl369, zip_derived_cl240])). 785.76/118.01 thf(zip_derived_cl2186, plain, 785.76/118.01 ((~ (sk_ @ sk__5 @ sk__4)) <= (~ ( (sk_ @ sk__5 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2164])). 785.76/118.01 thf('89', plain, (( (sk_ @ sk__5 @ sk__4)) | ~ ( (sk_ @ sk__4 @ sk__5))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl249, zip_derived_cl2186])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl13, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl288, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__3) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__3) 785.76/118.01 | (sk_ @ sk__5 @ sk__3))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl13])). 785.76/118.01 thf(zip_derived_cl375, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__3)) <= (( (sk_ @ sk__5 @ sk__3)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl288])). 785.76/118.01 thf(zip_derived_cl282, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl12])). 785.76/118.01 thf(zip_derived_cl2747, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)) & ( (sk_ @ sk__5 @ sk__3)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl375, zip_derived_cl282])). 785.76/118.01 thf(zip_derived_cl10, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2777, plain, 785.76/118.01 (((~ (sk_ @ sk__2 @ sk__3) | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__5)) & ( (sk_ @ sk__5 @ sk__3)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2747, zip_derived_cl10])). 785.76/118.01 thf('90', plain, 785.76/118.01 (~ ( (sk_ @ sk__2 @ sk__3)) | ~ ( (sk_ @ sk__5 @ sk__3)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__3)) | ~ ( (sk_ @ sk__2 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2777])). 785.76/118.01 thf(zip_derived_cl509, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__1)) <= (( (sk_ @ sk__1 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl264, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl13])). 785.76/118.01 thf(zip_derived_cl2511, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1) 785.76/118.01 | ~ (sk_ @ sk__3 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)) & ( (sk_ @ sk__1 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl509, zip_derived_cl264])). 785.76/118.01 thf('91', plain, 785.76/118.01 (~ ( (sk_ @ sk__1 @ sk__5)) | ~ ( (sk_ @ sk__3 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1)) | ~ ( (sk_ @ sk__3 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2511])). 785.76/118.01 thf('92', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__4) 785.76/118.01 | (sk_ @ X0 @ sk__4))) | 785.76/118.01 ( (sk_ @ sk__4 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl27])). 785.76/118.01 thf(zip_derived_cl1042, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1020])). 785.76/118.01 thf(zip_derived_cl9, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('93', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl1042, zip_derived_cl9])). 785.76/118.01 thf('94', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__1 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl36])). 785.76/118.01 thf(zip_derived_cl391, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__1)) <= (( (sk_ @ sk__4 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl296])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl942, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__1 @ X0) 785.76/118.01 | ~ (sk_ @ sk__1 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl391, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl947, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl942])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl2062, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl947, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl9, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('95', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2062, zip_derived_cl9])). 785.76/118.01 thf(zip_derived_cl41, plain, 785.76/118.01 (![X0 : $i, X1 : $i, X2 : $i]: 785.76/118.01 ( (sk_ @ X1 @ X0) 785.76/118.01 | (sk_ @ X2 @ X0) 785.76/118.01 | (sk_ @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ X1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl7, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__2)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl298, plain, 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__2) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__2) 785.76/118.01 | (sk_ @ X0 @ sk__1) 785.76/118.01 | (sk_ @ sk__2 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl7])). 785.76/118.01 thf(zip_derived_cl395, plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__1)) <= (( (sk_ @ sk__2 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl298])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl958, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__1 @ X0) 785.76/118.01 | ~ (sk_ @ sk__1 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl395, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl963, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl958])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl2066, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__2)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl963, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl7, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__2)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('96', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2066, zip_derived_cl7])). 785.76/118.01 thf(zip_derived_cl515, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__1)) <= (( (sk_ @ sk__1 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl127, plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__4)) <= (( (sk_ @ sk__2 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl34])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl490, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl11, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl494, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__4)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl490, zip_derived_cl11])). 785.76/118.01 thf(zip_derived_cl3711, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__4)) & ( (sk_ @ sk__1 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl515, zip_derived_cl494])). 785.76/118.01 thf('97', plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__1)) | ~ ( (sk_ @ sk__2 @ sk__4)) | 785.76/118.01 ~ ( (sk_ @ sk__1 @ sk__4)) | ~ ( (sk_ @ sk__2 @ sk__1))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl3711])). 785.76/118.01 thf(zip_derived_cl843, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__6)) <= (( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl252, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl248, zip_derived_cl14])). 785.76/118.01 thf(zip_derived_cl2334, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6) 785.76/118.01 | ~ (sk_ @ sk__4 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__5)) & ( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl843, zip_derived_cl252])). 785.76/118.01 thf(zip_derived_cl4, plain, (~ ('$_eq_proxy' @ ($i) @ sk__4 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2356, plain, 785.76/118.01 (((~ (sk_ @ sk__4 @ sk__6) | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__4 @ sk__5)) & ( (sk_ @ sk__6 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2334, zip_derived_cl4])). 785.76/118.01 thf(zip_derived_cl2358, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2356])). 785.76/118.01 thf(zip_derived_cl5, plain, (~ ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('98', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2358, zip_derived_cl5])). 785.76/118.01 thf(zip_derived_cl111, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__6)) <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl26])). 785.76/118.01 thf(zip_derived_cl264, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl13])). 785.76/118.01 thf(zip_derived_cl2503, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6) 785.76/118.01 | ~ (sk_ @ sk__3 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)) & ( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl264])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl2527, plain, 785.76/118.01 (((~ (sk_ @ sk__3 @ sk__6) | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)) & ( (sk_ @ sk__3 @ sk__5)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl2503, zip_derived_cl3])). 785.76/118.01 thf('99', plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__6)) | ~ ( (sk_ @ sk__5 @ sk__6)) | 785.76/118.01 ~ ( (sk_ @ sk__3 @ sk__6)) | ~ ( (sk_ @ sk__3 @ sk__5))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2527])). 785.76/118.01 thf(zip_derived_cl132, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl37])). 785.76/118.01 thf(zip_derived_cl13, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1441, plain, 785.76/118.01 ((( (sk_ @ sk__3 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1) 785.76/118.01 | (sk_ @ sk__3 @ sk__5))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl13])). 785.76/118.01 thf('100', plain, 785.76/118.01 (~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__5)) | ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1)) | 785.76/118.01 ( (sk_ @ sk__3 @ sk__1))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1441])). 785.76/118.01 thf(zip_derived_cl503, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__1)) <= (( (sk_ @ sk__1 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl240, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl5])). 785.76/118.01 thf(zip_derived_cl2170, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1) 785.76/118.01 | ~ (sk_ @ sk__5 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__6)) & ( (sk_ @ sk__1 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl503, zip_derived_cl240])). 785.76/118.01 thf('101', plain, 785.76/118.01 (~ ( (sk_ @ sk__5 @ sk__1)) | ~ ( (sk_ @ sk__5 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1)) | ~ ( (sk_ @ sk__1 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2170])). 785.76/118.01 thf(zip_derived_cl389, plain, 785.76/118.01 (( (sk_ @ sk__5 @ sk__1)) <= (( (sk_ @ sk__5 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl295])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl931, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__1 @ X0) 785.76/118.01 | ~ (sk_ @ sk__1 @ X0) 785.76/118.01 | ~ (sk_ @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__5 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl389, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl936, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl931])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl2060, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__5)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl936, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl16, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__5)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('102', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__5 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2060, zip_derived_cl16])). 785.76/118.01 thf(zip_derived_cl503, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__1)) <= (( (sk_ @ sk__1 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl258, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__6)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl254, zip_derived_cl3])). 785.76/118.01 thf(zip_derived_cl2426, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1) 785.76/118.01 | ~ (sk_ @ sk__3 @ sk__1) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__6)) & ( (sk_ @ sk__1 @ sk__6)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl503, zip_derived_cl258])). 785.76/118.01 thf('103', plain, 785.76/118.01 (~ ( (sk_ @ sk__3 @ sk__1)) | ~ ( (sk_ @ sk__3 @ sk__6)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1)) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1)) | ~ ( (sk_ @ sk__1 @ sk__6))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl2426])). 785.76/118.01 thf(zip_derived_cl387, plain, 785.76/118.01 (( (sk_ @ sk__6 @ sk__1)) <= (( (sk_ @ sk__6 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl294])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl923, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__1 @ X0) 785.76/118.01 | ~ (sk_ @ sk__1 @ X0) 785.76/118.01 | ~ (sk_ @ sk__6 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__6 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl928, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl923])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl2036, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__6)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl928, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl2, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('104', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__6 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2036, zip_derived_cl2])). 785.76/118.01 thf(zip_derived_cl393, plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__1)) <= (( (sk_ @ sk__3 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl297])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl950, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__1 @ X0) 785.76/118.01 | ~ (sk_ @ sk__1 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl393, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl955, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl950])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl2064, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__1 @ sk__3)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl955, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl8, plain, (~ ('$_eq_proxy' @ ($i) @ sk__1 @ sk__3)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('105', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__1))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2064, zip_derived_cl8])). 785.76/118.01 thf('106', plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__5) 785.76/118.01 | (sk_ @ X0 @ sk__5) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X0 @ sk__1) 785.76/118.01 | (sk_ @ X0 @ sk__1))) | 785.76/118.01 ( (sk_ @ sk__5 @ sk__1))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl295])). 785.76/118.01 thf(zip_derived_cl152, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl48])). 785.76/118.01 thf(zip_derived_cl3, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__6)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl1719, plain, 785.76/118.01 ((( (sk_ @ sk__2 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3) 785.76/118.01 | (sk_ @ sk__3 @ sk__6))) 785.76/118.01 <= ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl3])). 785.76/118.01 thf('107', plain, 785.76/118.01 (( (sk_ @ sk__2 @ sk__3)) | ( (sk_ @ sk__3 @ sk__6)) | 785.76/118.01 ~ 785.76/118.01 (![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X0 @ sk__6) 785.76/118.01 | (sk_ @ X0 @ sk__6) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0) 785.76/118.01 | (sk_ @ sk__2 @ X0))) | 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl1719])). 785.76/118.01 thf(zip_derived_cl121, plain, 785.76/118.01 (( (sk_ @ sk__3 @ sk__4)) <= (( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl31])). 785.76/118.01 thf(zip_derived_cl17, plain, 785.76/118.01 (![X0 : $i, X1 : $i]: ( (sk_ @ X0 @ X1) | ~ (sk_ @ X1 @ X0))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl267, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__3)) <= (( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl19, plain, 785.76/118.01 (![X2 : $i, X3 : $i, X4 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ X2 @ X3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X2 @ X3) 785.76/118.01 | ~ (sk_ @ X2 @ X4) 785.76/118.01 | ~ (sk_ @ X3 @ X4) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ X3 @ X4))), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl818, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__3 @ X0) 785.76/118.01 | ~ (sk_ @ sk__3 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl19])). 785.76/118.01 thf(zip_derived_cl823, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__3)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__3)))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl818])). 785.76/118.01 thf(zip_derived_cl1, plain, 785.76/118.01 (![X0 : $tType, X1 : X0, X2 : X0]: 785.76/118.01 (~ ('$_eq_proxy' @ (X0) @ X1 @ X2) | ('$_eq_proxy' @ (X0) @ X2 @ X1))), 785.76/118.01 trivial([status(thm)])). 785.76/118.01 thf(zip_derived_cl2004, plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)) 785.76/118.01 <= (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__3)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl823, zip_derived_cl1])). 785.76/118.01 thf(zip_derived_cl15, plain, (~ ('$_eq_proxy' @ ($i) @ sk__3 @ sk__4)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf('108', plain, (~ ( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__3))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl2004, zip_derived_cl15])). 785.76/118.01 thf(zip_derived_cl267, plain, 785.76/118.01 (( (sk_ @ sk__4 @ sk__3)) <= (( (sk_ @ sk__3 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl17])). 785.76/118.01 thf(zip_derived_cl494, plain, 785.76/118.01 ((![X0 : $i]: 785.76/118.01 ( ('$_eq_proxy' @ ($i) @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__4 @ X0) 785.76/118.01 | ~ (sk_ @ sk__2 @ X0) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__2 @ X0))) 785.76/118.01 <= (( (sk_ @ sk__2 @ sk__4)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl490, zip_derived_cl11])). 785.76/118.01 thf(zip_derived_cl3708, plain, 785.76/118.01 ((( ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3) 785.76/118.01 | ~ (sk_ @ sk__2 @ sk__3) 785.76/118.01 | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)) & ( (sk_ @ sk__2 @ sk__4)))), 785.76/118.01 inference('sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl494])). 785.76/118.01 thf(zip_derived_cl10, plain, (~ ('$_eq_proxy' @ ($i) @ sk__2 @ sk__3)), 785.76/118.01 inference('eq_encode', [status(esa)], [zf_stmt_1])). 785.76/118.01 thf(zip_derived_cl3740, plain, 785.76/118.01 (((~ (sk_ @ sk__2 @ sk__3) | ('$_eq_proxy' @ ($i) @ sk__4 @ sk__3))) 785.76/118.01 <= (( (sk_ @ sk__3 @ sk__4)) & ( (sk_ @ sk__2 @ sk__4)))), 785.76/118.01 inference('demod', [status(thm)], [zip_derived_cl3708, zip_derived_cl10])). 785.76/118.01 thf('109', plain, 785.76/118.01 (( ('$_eq_proxy' @ ($i) @ sk__4 @ sk__3)) | ~ ( (sk_ @ sk__3 @ sk__4)) | 785.76/118.01 ~ ( (sk_ @ sk__2 @ sk__4)) | ~ ( (sk_ @ sk__2 @ sk__3))), 785.76/118.01 inference('split', [status(esa)], [zip_derived_cl3740])). 785.76/118.01 thf(zip_derived_cl3789, plain, ($false), 785.76/118.01 inference('sat_resolution*', [status(thm)], 785.76/118.01 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11', 785.76/118.01 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21', 785.76/118.01 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31', 785.76/118.01 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41', 785.76/118.01 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51', 785.76/118.01 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61', 785.76/118.01 '62', '63', '64', '65', '66', '67', '68', '69', '70', '71', 785.76/118.01 '72', '73', '74', '75', '76', '77', '78', '79', '80', '81', 785.76/118.01 '82', '83', '84', '85', '86', '87', '88', '89', '90', '91', 785.76/118.01 '92', '93', '94', '95', '96', '97', '98', '99', '100', '101', 785.76/118.01 '102', '103', '104', '105', '106', '107', '108', '109'])). 785.76/118.01 785.76/118.01 % SZS output end Refutation 785.76/118.01 785.76/118.01 785.76/118.01 % Terminating... 785.76/118.06 % Runner terminated. 785.76/118.08 % Zipperpin 1.5 exiting 785.76/118.08 EOF