0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HoYArTO9Vz true 0.09/0.30 % Computer : n014.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1200 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Tue Jul 13 15:10:04 EDT 2021 0.09/0.30 % CPUTime : 0.09/0.30 % Running portfolio for 120 s 0.09/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.09/0.30 % Number of cores: 8 0.09/0.30 % Python version: Python 3.6.8 0.09/0.30 % Running in HO mode 0.15/0.58 % Total configuration time : 828 0.15/0.58 % Estimated wc time : 983 0.15/0.58 % Estimated cpu time (8 cpus) : 122.875 1.14/0.65 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s 1.14/0.66 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s 1.14/0.66 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s 1.14/0.66 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s 1.14/0.66 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s 1.14/0.67 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s 1.14/0.67 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s 1.32/0.70 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s 143.00/18.70 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 53s 188.38/24.49 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 33s 274.07/35.60 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 18s 320.93/41.54 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 18s 366.60/47.44 % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 39s 366.60/47.45 % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 47s 366.60/47.47 % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 18s 413.49/53.40 % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 10s 426.48/55.38 % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 12s 441.77/57.28 % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 10s 457.73/59.34 % /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 10s 488.40/63.19 % /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 21s 504.66/65.25 % /export/starexec/sandbox/solver/bin/lams/10_shallow_lift.sh running for 18s 519.71/67.18 % /export/starexec/sandbox/solver/bin/lams/15_lcnf_noform.sh running for 18s 520.60/67.33 % /export/starexec/sandbox/solver/bin/lams/8_sh.eqenc2.sh running for 6s 520.60/67.51 % /export/starexec/sandbox/solver/bin/lams/8_cmb.lcnf4.sh running for 6s 533.19/69.14 % /export/starexec/sandbox/solver/bin/lams/8_new_l_av.sh running for 14s 552.79/71.51 % /export/starexec/sandbox/solver/bin/lams/10_forms1.sh running for 12s 567.56/73.53 % /export/starexec/sandbox/solver/bin/lams/10_forms4.sh running for 12s 641.41/83.03 % /export/starexec/sandbox/solver/bin/lams/15_ch_av2.sh running for 16s 642.60/83.13 % /export/starexec/sandbox/solver/bin/lams/15_sine_deep.sh running for 26s 643.50/83.30 % /export/starexec/sandbox/solver/bin/lams/10_shallow_sine.sh running for 18s 649.48/83.99 % /export/starexec/sandbox/solver/bin/lams/20_new_c.s3.sh running for 24s 658.86/85.24 % /export/starexec/sandbox/solver/bin/lams/10_forms2.sh running for 12s 660.17/85.61 % /export/starexec/sandbox/solver/bin/lams/8_sh.or.sh running for 14s 667.04/86.48 % /export/starexec/sandbox/solver/bin/lams/15_combs_pe.sh running for 12s 729.00/94.49 % /export/starexec/sandbox/solver/bin/lams/15_b.split.li.sh running for 26s 748.51/97.06 % /export/starexec/sandbox/solver/bin/lams/18_sh1.sh running for 21s 759.11/98.33 % /export/starexec/sandbox/solver/bin/lams/8_no_ord.sh running for 6s 763.05/98.85 % /export/starexec/sandbox/solver/bin/lams/10_forms3.sh running for 12s 767.22/99.42 % /export/starexec/sandbox/solver/bin/lams/8_lcnf_new_simp.sh running for 10s 780.95/101.11 % /export/starexec/sandbox/solver/bin/lams/8_unif0.sh running for 14s 804.28/104.15 % /export/starexec/sandbox/solver/bin/lams/10_32.sh running for 12s 832.98/107.77 % /export/starexec/sandbox/solver/bin/lams/8_b5.l2.sh running for 6s 841.65/108.93 % /export/starexec/sandbox/solver/bin/lams/8_s6.2.3.sh running for 6s 843.82/109.26 % /export/starexec/sandbox/solver/bin/lams/8_c.preprocess2.sh running for 13s 857.83/110.96 % /export/starexec/sandbox/solver/bin/lams/15_l_e.sh running for 18s 870.59/112.64 % Solved by lams/8_c.preprocess2.sh. 870.59/112.64 % done 11372 iterations in 3.237s 870.59/112.64 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 870.59/112.64 % SZS output start Refutation 870.59/112.64 thf(c3_type, type, c3: $i). 870.59/112.64 thf(c8_type, type, c8: $i). 870.59/112.64 thf(g_type, type, g: $i > $i > $i). 870.59/112.64 thf(c1_type, type, c1: $i). 870.59/112.64 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o). 870.59/112.64 thf(s_type, type, s: $i > $i). 870.59/112.64 thf(c2_type, type, c2: $i). 870.59/112.64 thf(c4_type, type, c4: $i). 870.59/112.64 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o). 870.59/112.64 thf(c5_type, type, c5: $i). 870.59/112.64 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o). 870.59/112.64 thf(cTOUGHNUT2, conjecture, 870.59/112.64 (~( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) ) = 870.59/112.64 ( c8 ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c1 ) ) <=> 870.59/112.64 ( ( g @ ( s @ Xx ) @ Xy ) = ( c3 ) ) ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c2 ) ) <=> 870.59/112.64 ( ( g @ Xx @ ( s @ Xy ) ) = ( c4 ) ) ) ) & 870.59/112.64 ( ( c1 ) = ( s @ c8 ) ) & ( ( c2 ) = ( s @ c1 ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c3 ) ) | ( ( g @ Xx @ Xy ) = ( c5 ) ) | 870.59/112.64 ( ( g @ Xx @ Xy ) = ( c4 ) ) | ( ( g @ Xx @ Xy ) = ( c2 ) ) | 870.59/112.64 ( ( g @ Xx @ Xy ) = ( c1 ) ) ) ) & 870.59/112.64 ( ( c5 ) = ( s @ c4 ) ) & ( ( c4 ) = ( s @ c3 ) ) & 870.59/112.64 ( ( c3 ) = ( s @ c2 ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ c8 ) != ( c2 ) ) & ( ( g @ Xx @ c1 ) != ( c4 ) ) & 870.59/112.64 ( ( g @ c8 @ Xy ) != ( c1 ) ) & ( ( g @ c1 @ Xy ) != ( c3 ) ) ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c5 ) ) <=> 870.59/112.64 ( ( ( ( Xx ) = ( c1 ) ) & ( ( Xy ) = ( c1 ) ) ) | 870.59/112.64 ( ( ( Xy ) = ( c8 ) ) & ( ( Xx ) = ( c8 ) ) ) ) ) ) & 870.59/112.64 ( ![Xx:$i]: ( ( s @ ( s @ ( s @ ( s @ Xx ) ) ) ) != ( Xx ) ) ) ))). 870.59/112.64 thf(zf_stmt_0, type, zip_tseitin_2 : $i > $i > $o). 870.59/112.64 thf(zf_stmt_1, axiom, 870.59/112.64 (![Xy:$i,Xx:$i]: 870.59/112.64 ( ( zip_tseitin_2 @ Xy @ Xx ) <=> 870.59/112.64 ( ( zip_tseitin_1 @ Xy @ Xx ) | ( zip_tseitin_0 @ Xy @ Xx ) ) ))). 870.59/112.64 thf(zf_stmt_2, type, zip_tseitin_1 : $i > $i > $o). 870.59/112.64 thf(zf_stmt_3, axiom, 870.59/112.64 (![Xy:$i,Xx:$i]: 870.59/112.64 ( ( zip_tseitin_1 @ Xy @ Xx ) <=> 870.59/112.64 ( ( ( Xx ) = ( c8 ) ) & ( ( Xy ) = ( c8 ) ) ) ))). 870.59/112.64 thf(zf_stmt_4, type, zip_tseitin_0 : $i > $i > $o). 870.59/112.64 thf(zf_stmt_5, axiom, 870.59/112.64 (![Xy:$i,Xx:$i]: 870.59/112.64 ( ( zip_tseitin_0 @ Xy @ Xx ) <=> 870.59/112.64 ( ( ( Xy ) = ( c1 ) ) & ( ( Xx ) = ( c1 ) ) ) ))). 870.59/112.64 thf(zf_stmt_6, conjecture, 870.59/112.64 (~( ( ![Xx:$i]: ( ( s @ ( s @ ( s @ ( s @ Xx ) ) ) ) != ( Xx ) ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c5 ) ) <=> ( zip_tseitin_2 @ Xy @ Xx ) ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ c1 @ Xy ) != ( c3 ) ) & ( ( g @ c8 @ Xy ) != ( c1 ) ) & 870.59/112.64 ( ( g @ Xx @ c1 ) != ( c4 ) ) & ( ( g @ Xx @ c8 ) != ( c2 ) ) ) ) & 870.59/112.64 ( ( c3 ) = ( s @ c2 ) ) & ( ( c4 ) = ( s @ c3 ) ) & 870.59/112.64 ( ( c5 ) = ( s @ c4 ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c1 ) ) | ( ( g @ Xx @ Xy ) = ( c2 ) ) | 870.59/112.64 ( ( g @ Xx @ Xy ) = ( c4 ) ) | ( ( g @ Xx @ Xy ) = ( c5 ) ) | 870.59/112.64 ( ( g @ Xx @ Xy ) = ( c3 ) ) ) ) & 870.59/112.64 ( ( c2 ) = ( s @ c1 ) ) & ( ( c1 ) = ( s @ c8 ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c2 ) ) <=> 870.59/112.64 ( ( g @ Xx @ ( s @ Xy ) ) = ( c4 ) ) ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c1 ) ) <=> 870.59/112.64 ( ( g @ ( s @ Xx ) @ Xy ) = ( c3 ) ) ) ) & 870.59/112.64 ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) ) = 870.59/112.64 ( c8 ) ) ))). 870.59/112.64 thf(zf_stmt_7, negated_conjecture, 870.59/112.64 (( ![Xx:$i]: ( ( s @ ( s @ ( s @ ( s @ Xx ) ) ) ) != ( Xx ) ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c5 ) ) <=> ( zip_tseitin_2 @ Xy @ Xx ) ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ c1 @ Xy ) != ( c3 ) ) & ( ( g @ c8 @ Xy ) != ( c1 ) ) & 870.59/112.64 ( ( g @ Xx @ c1 ) != ( c4 ) ) & ( ( g @ Xx @ c8 ) != ( c2 ) ) ) ) & 870.59/112.64 ( ( c3 ) = ( s @ c2 ) ) & ( ( c4 ) = ( s @ c3 ) ) & 870.59/112.64 ( ( c5 ) = ( s @ c4 ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c1 ) ) | ( ( g @ Xx @ Xy ) = ( c2 ) ) | 870.59/112.64 ( ( g @ Xx @ Xy ) = ( c4 ) ) | ( ( g @ Xx @ Xy ) = ( c5 ) ) | 870.59/112.64 ( ( g @ Xx @ Xy ) = ( c3 ) ) ) ) & 870.59/112.64 ( ( c2 ) = ( s @ c1 ) ) & ( ( c1 ) = ( s @ c8 ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c2 ) ) <=> ( ( g @ Xx @ ( s @ Xy ) ) = ( c4 ) ) ) ) & 870.59/112.64 ( ![Xx:$i,Xy:$i]: 870.59/112.64 ( ( ( g @ Xx @ Xy ) = ( c1 ) ) <=> ( ( g @ ( s @ Xx ) @ Xy ) = ( c3 ) ) ) ) & 870.59/112.64 ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ c8 ) ) ) ) ) ) ) ) = 870.59/112.64 ( c8 ) )), 870.59/112.64 inference('cnf.neg', [status(esa)], [zf_stmt_6])). 870.59/112.64 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl16, plain, 870.59/112.64 (![X6 : $i, X7 : $i]: 870.59/112.64 (((g @ X6 @ X7) = (c1)) 870.59/112.64 | ((g @ X6 @ X7) = (c2)) 870.59/112.64 | ((g @ X6 @ X7) = (c4)) 870.59/112.64 | ((g @ X6 @ X7) = (c5)) 870.59/112.64 | ((g @ X6 @ X7) = (c3)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl11, plain, 870.59/112.64 (![X0 : $i, X2 : $i]: 870.59/112.64 (((g @ (s @ X0) @ X2) = (c3)) | ((g @ X0 @ X2) != (c1)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl136, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((c1) != (c1)) 870.59/112.64 | ((g @ X1 @ X0) = (c3)) 870.59/112.64 | ((g @ X1 @ X0) = (c5)) 870.59/112.64 | ((g @ X1 @ X0) = (c4)) 870.59/112.64 | ((g @ X1 @ X0) = (c2)) 870.59/112.64 | ((g @ (s @ X1) @ X0) = (c3)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl11])). 870.59/112.64 thf(zip_derived_cl165, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.64 | ((g @ X1 @ X0) = (c2)) 870.59/112.64 | ((g @ X1 @ X0) = (c4)) 870.59/112.64 | ((g @ X1 @ X0) = (c5)) 870.59/112.64 | ((g @ X1 @ X0) = (c3)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.64 thf(zip_derived_cl610, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c4 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ X0) = (c5)) 870.59/112.64 | ((g @ c3 @ X0) = (c4)) 870.59/112.64 | ((g @ c3 @ X0) = (c2)))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl165])). 870.59/112.64 thf(zip_derived_cl13, plain, 870.59/112.64 (![X3 : $i, X5 : $i]: 870.59/112.64 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1947, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((c2) != (c2)) 870.59/112.64 | ((g @ c3 @ X0) = (c4)) 870.59/112.64 | ((g @ c3 @ X0) = (c5)) 870.59/112.64 | ((g @ c3 @ X0) = (c3)) 870.59/112.64 | ((g @ c4 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ (s @ X0)) = (c4)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl610, zip_derived_cl13])). 870.59/112.64 thf(zip_derived_cl1978, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c3 @ (s @ X0)) = (c4)) 870.59/112.64 | ((g @ c4 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ X0) = (c5)) 870.59/112.64 | ((g @ c3 @ X0) = (c4)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl1947])). 870.59/112.64 thf(zip_derived_cl7112, plain, 870.59/112.64 ((((g @ c3 @ c3) = (c4)) 870.59/112.64 | ((g @ c3 @ c2) = (c4)) 870.59/112.64 | ((g @ c3 @ c2) = (c5)) 870.59/112.64 | ((g @ c3 @ c2) = (c3)) 870.59/112.64 | ((g @ c4 @ c2) = (c3)))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1978])). 870.59/112.64 thf(zip_derived_cl13295, plain, 870.59/112.64 ((((g @ c4 @ c2) = (c3))) <= ((((g @ c4 @ c2) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl7112])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl10, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl84, plain, 870.59/112.64 (![X0 : $i]: (((g @ c4 @ X0) != (c3)) | ((g @ c3 @ X0) = (c1)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl13305, plain, 870.59/112.64 (((((c3) != (c3)) | ((g @ c3 @ c2) = (c1)))) 870.59/112.64 <= ((((g @ c4 @ c2) = (c3))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl13295, zip_derived_cl84])). 870.59/112.64 thf(zip_derived_cl13327, plain, 870.59/112.64 ((((g @ c3 @ c2) = (c1))) <= ((((g @ c4 @ c2) = (c3))))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl13305])). 870.59/112.64 thf(zip_derived_cl16, plain, 870.59/112.64 (![X6 : $i, X7 : $i]: 870.59/112.64 (((g @ X6 @ X7) = (c1)) 870.59/112.64 | ((g @ X6 @ X7) = (c2)) 870.59/112.64 | ((g @ X6 @ X7) = (c4)) 870.59/112.64 | ((g @ X6 @ X7) = (c5)) 870.59/112.64 | ((g @ X6 @ X7) = (c3)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl23, plain, (![X10 : $i]: ((g @ c8 @ X10) != (c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl128, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((c1) != (c1)) 870.59/112.64 | ((g @ c8 @ X0) = (c3)) 870.59/112.64 | ((g @ c8 @ X0) = (c5)) 870.59/112.64 | ((g @ c8 @ X0) = (c4)) 870.59/112.64 | ((g @ c8 @ X0) = (c2)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl23])). 870.59/112.64 thf(zip_derived_cl158, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c8 @ X0) = (c2)) 870.59/112.64 | ((g @ c8 @ X0) = (c4)) 870.59/112.64 | ((g @ c8 @ X0) = (c5)) 870.59/112.64 | ((g @ c8 @ X0) = (c3)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl128])). 870.59/112.64 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl260, plain, 870.59/112.64 ((((c2) != (c4)) 870.59/112.64 | ((g @ c8 @ c1) = (c3)) 870.59/112.64 | ((g @ c8 @ c1) = (c5)) 870.59/112.64 | ((g @ c8 @ c1) = (c4)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl20])). 870.59/112.64 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl298, plain, 870.59/112.64 ((((c2) != (c4)) | ((g @ c8 @ c1) = (c3)) | ((g @ c8 @ c1) = (c5)))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl260, zip_derived_cl20])). 870.59/112.64 thf(zip_derived_cl324, plain, 870.59/112.64 ((((g @ c8 @ c1) = (c3))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl298])). 870.59/112.64 thf(zip_derived_cl9, plain, 870.59/112.64 (((s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ c8)))))))) = (c8))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.64 inference('demod', [status(thm)], 870.59/112.64 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.64 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.64 thf(zip_derived_cl10, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl81, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c8 @ X0) != (c3)) | ((g @ (s @ (s @ c5)) @ X0) = (c1)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl328, plain, 870.59/112.64 (((((c3) != (c3)) | ((g @ (s @ (s @ c5)) @ c1) = (c1)))) 870.59/112.64 <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl324, zip_derived_cl81])). 870.59/112.64 thf(zip_derived_cl344, plain, 870.59/112.64 ((((g @ (s @ (s @ c5)) @ c1) = (c1))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl328])). 870.59/112.64 thf(zip_derived_cl165, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.64 | ((g @ X1 @ X0) = (c2)) 870.59/112.64 | ((g @ X1 @ X0) = (c4)) 870.59/112.64 | ((g @ X1 @ X0) = (c5)) 870.59/112.64 | ((g @ X1 @ X0) = (c3)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.64 thf(zip_derived_cl612, plain, 870.59/112.64 (((((c1) = (c3)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c3)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c5)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c4)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c2)))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl344, zip_derived_cl165])). 870.59/112.64 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl324, plain, 870.59/112.64 ((((g @ c8 @ c1) = (c3))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl298])). 870.59/112.64 thf(zip_derived_cl23, plain, (![X10 : $i]: ((g @ c8 @ X10) != (c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl329, plain, 870.59/112.64 ((((c3) != (c1))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl324, zip_derived_cl23])). 870.59/112.64 thf(zip_derived_cl635, plain, 870.59/112.64 (((((g @ (s @ c5) @ c1) = (c3)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c5)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c2)))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl612, zip_derived_cl20, zip_derived_cl329])). 870.59/112.64 thf(zip_derived_cl1701, plain, 870.59/112.64 ((((g @ (s @ c5) @ c1) = (c2))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl635])). 870.59/112.64 thf(zip_derived_cl10, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1705, plain, 870.59/112.64 (((((c2) != (c3)) | ((g @ c5 @ c1) = (c1)))) 870.59/112.64 <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl1701, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl2056, plain, 870.59/112.64 ((((g @ c5 @ c1) = (c1))) <= ((((g @ c5 @ c1) = (c1))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl1705])). 870.59/112.64 thf(zip_derived_cl13, plain, 870.59/112.64 (![X3 : $i, X5 : $i]: 870.59/112.64 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl2061, plain, 870.59/112.64 (((((c1) != (c2)) | ((g @ c5 @ (s @ c1)) = (c4)))) 870.59/112.64 <= ((((g @ c5 @ c1) = (c1))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl2056, zip_derived_cl13])). 870.59/112.64 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl2070, plain, 870.59/112.64 (((((c1) != (c2)) | ((g @ c5 @ c2) = (c4)))) 870.59/112.64 <= ((((g @ c5 @ c1) = (c1))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl2061, zip_derived_cl15])). 870.59/112.64 thf(zip_derived_cl2109, plain, 870.59/112.64 ((((g @ c5 @ c2) = (c4))) <= ((((g @ c5 @ c2) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2070])). 870.59/112.64 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl10, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl85, plain, 870.59/112.64 (![X0 : $i]: (((g @ c5 @ X0) != (c3)) | ((g @ c4 @ X0) = (c1)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl2111, plain, 870.59/112.64 (((((c4) != (c3)) | ((g @ c4 @ c2) = (c1)))) 870.59/112.64 <= ((((g @ c5 @ c2) = (c4))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl2109, zip_derived_cl85])). 870.59/112.64 thf(zip_derived_cl2310, plain, 870.59/112.64 ((((g @ c4 @ c2) = (c1))) <= ((((g @ c4 @ c2) = (c1))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2111])). 870.59/112.64 thf(zip_derived_cl84, plain, 870.59/112.64 (![X0 : $i]: (((g @ c4 @ X0) != (c3)) | ((g @ c3 @ X0) = (c1)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl2314, plain, 870.59/112.64 (((((c1) != (c3)) | ((g @ c3 @ c2) = (c1)))) 870.59/112.64 <= ((((g @ c4 @ c2) = (c1))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl2310, zip_derived_cl84])). 870.59/112.64 thf(zip_derived_cl2326, plain, 870.59/112.64 (((((c1) != (c3)) | ((g @ c3 @ c2) = (c3)))) 870.59/112.64 <= ((((g @ c4 @ c2) = (c1))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl2314])). 870.59/112.64 thf(zip_derived_cl3055, plain, 870.59/112.64 ((((g @ c3 @ c2) = (c3))) <= ((((g @ c3 @ c2) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2326])). 870.59/112.64 thf(zip_derived_cl13, plain, 870.59/112.64 (![X3 : $i, X5 : $i]: 870.59/112.64 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl3062, plain, 870.59/112.64 (((((c3) != (c2)) | ((g @ c3 @ (s @ c2)) = (c4)))) 870.59/112.64 <= ((((g @ c3 @ c2) = (c3))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl3055, zip_derived_cl13])). 870.59/112.64 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl3078, plain, 870.59/112.64 (((((c3) != (c2)) | ((g @ c3 @ c3) = (c4)))) 870.59/112.64 <= ((((g @ c3 @ c2) = (c3))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl3062, zip_derived_cl19])). 870.59/112.64 thf(zip_derived_cl4950, plain, 870.59/112.64 ((((g @ c3 @ c3) = (c4))) <= ((((g @ c3 @ c3) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl3078])). 870.59/112.64 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl12, plain, 870.59/112.64 (![X3 : $i, X4 : $i]: 870.59/112.64 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl97, plain, 870.59/112.64 (![X0 : $i]: (((g @ X0 @ c3) != (c4)) | ((g @ X0 @ c2) = (c2)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl12])). 870.59/112.64 thf(zip_derived_cl4955, plain, 870.59/112.64 (((((c4) != (c4)) | ((g @ c3 @ c2) = (c2)))) 870.59/112.64 <= ((((g @ c3 @ c3) = (c4))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl4950, zip_derived_cl97])). 870.59/112.64 thf(zip_derived_cl4972, plain, 870.59/112.64 ((((g @ c3 @ c2) = (c2))) <= ((((g @ c3 @ c3) = (c4))))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl4955])). 870.59/112.64 thf(zip_derived_cl14619, plain, 870.59/112.64 ((((c1) = (c2))) <= ((((g @ c3 @ c3) = (c4))) & (((g @ c4 @ c2) = (c3))))), 870.59/112.64 inference('sup+', [status(thm)], 870.59/112.64 [zip_derived_cl13327, zip_derived_cl4972])). 870.59/112.64 thf(zip_derived_cl344, plain, 870.59/112.64 ((((g @ (s @ (s @ c5)) @ c1) = (c1))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl328])). 870.59/112.64 thf(zip_derived_cl13, plain, 870.59/112.64 (![X3 : $i, X5 : $i]: 870.59/112.64 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl448, plain, 870.59/112.64 (((((c1) != (c2)) | ((g @ (s @ (s @ c5)) @ (s @ c1)) = (c4)))) 870.59/112.64 <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl13])). 870.59/112.64 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl457, plain, 870.59/112.64 (((((c1) != (c2)) | ((g @ (s @ (s @ c5)) @ c2) = (c4)))) 870.59/112.64 <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl448, zip_derived_cl15])). 870.59/112.64 thf(zip_derived_cl1123, plain, 870.59/112.64 ((((g @ (s @ (s @ c5)) @ c2) = (c4))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl457])). 870.59/112.64 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl12, plain, 870.59/112.64 (![X3 : $i, X4 : $i]: 870.59/112.64 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl96, plain, 870.59/112.64 (![X0 : $i]: (((g @ X0 @ c2) != (c4)) | ((g @ X0 @ c1) = (c2)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl12])). 870.59/112.64 thf(zip_derived_cl1127, plain, 870.59/112.64 (((((c4) != (c4)) | ((g @ (s @ (s @ c5)) @ c1) = (c2)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl1123, zip_derived_cl96])). 870.59/112.64 thf(zip_derived_cl1139, plain, 870.59/112.64 ((((g @ (s @ (s @ c5)) @ c1) = (c2))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl1127])). 870.59/112.64 thf(zip_derived_cl11, plain, 870.59/112.64 (![X0 : $i, X2 : $i]: 870.59/112.64 (((g @ (s @ X0) @ X2) = (c3)) | ((g @ X0 @ X2) != (c1)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl3719, plain, 870.59/112.64 (((((c2) != (c1)) | ((g @ (s @ (s @ (s @ c5))) @ c1) = (c3)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl1139, zip_derived_cl11])). 870.59/112.64 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.64 inference('demod', [status(thm)], 870.59/112.64 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.64 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.64 thf(zip_derived_cl3732, plain, 870.59/112.64 (((((c2) != (c1)) | ((g @ c8 @ c1) = (c3)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl3719, zip_derived_cl32])). 870.59/112.64 thf(zip_derived_cl3733, plain, 870.59/112.64 (((((c2) != (c1)) | ((g @ c8 @ c2) = (c3)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl3732])). 870.59/112.64 thf(zip_derived_cl6753, plain, ((((c2) != (c1))) <= (~ (((c1) = (c2))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl3733])). 870.59/112.64 thf(zip_derived_cl2056, plain, 870.59/112.64 ((((g @ c5 @ c1) = (c1))) <= ((((g @ c5 @ c1) = (c1))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl1705])). 870.59/112.64 thf(zip_derived_cl85, plain, 870.59/112.64 (![X0 : $i]: (((g @ c5 @ X0) != (c3)) | ((g @ c4 @ X0) = (c1)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl2058, plain, 870.59/112.64 (((((c1) != (c3)) | ((g @ c4 @ c1) = (c1)))) 870.59/112.64 <= ((((g @ c5 @ c1) = (c1))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl2056, zip_derived_cl85])). 870.59/112.64 thf(zip_derived_cl2068, plain, 870.59/112.64 (((((c1) != (c3)) | ((g @ c4 @ c3) = (c3)))) 870.59/112.64 <= ((((g @ c5 @ c1) = (c1))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl2058])). 870.59/112.64 thf(zip_derived_cl2080, plain, 870.59/112.64 ((((g @ c4 @ c3) = (c3))) <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2068])). 870.59/112.64 thf(zip_derived_cl97, plain, 870.59/112.64 (![X0 : $i]: (((g @ X0 @ c3) != (c4)) | ((g @ X0 @ c2) = (c2)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl12])). 870.59/112.64 thf(zip_derived_cl2084, plain, 870.59/112.64 (((((c3) != (c4)) | ((g @ c4 @ c2) = (c2)))) 870.59/112.64 <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl2080, zip_derived_cl97])). 870.59/112.64 thf(zip_derived_cl2135, plain, 870.59/112.64 ((((g @ c4 @ c2) = (c2))) <= ((((g @ c4 @ c2) = (c2))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2084])). 870.59/112.64 thf(zip_derived_cl84, plain, 870.59/112.64 (![X0 : $i]: (((g @ c4 @ X0) != (c3)) | ((g @ c3 @ X0) = (c1)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl2137, plain, 870.59/112.64 (((((c2) != (c3)) | ((g @ c3 @ c2) = (c1)))) 870.59/112.64 <= ((((g @ c4 @ c2) = (c2))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl2135, zip_derived_cl84])). 870.59/112.64 thf(zip_derived_cl2149, plain, 870.59/112.64 (((((c2) != (c3)) | ((g @ c3 @ c3) = (c1)))) 870.59/112.64 <= ((((g @ c4 @ c2) = (c2))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl2137])). 870.59/112.64 thf(zip_derived_cl2519, plain, 870.59/112.64 ((((g @ c3 @ c3) = (c1))) <= ((((g @ c3 @ c3) = (c1))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2149])). 870.59/112.64 thf(zip_derived_cl610, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c4 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ X0) = (c5)) 870.59/112.64 | ((g @ c3 @ X0) = (c4)) 870.59/112.64 | ((g @ c3 @ X0) = (c2)))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl165])). 870.59/112.64 thf(zip_derived_cl2521, plain, 870.59/112.64 (((((c1) = (c2)) 870.59/112.64 | ((g @ c3 @ c3) = (c4)) 870.59/112.64 | ((g @ c3 @ c3) = (c5)) 870.59/112.64 | ((g @ c3 @ c3) = (c3)) 870.59/112.64 | ((g @ c4 @ c3) = (c3)))) <= ((((g @ c3 @ c3) = (c1))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl2519, zip_derived_cl610])). 870.59/112.64 thf(zip_derived_cl6633, plain, ((((c1) = (c2))) <= ((((c1) = (c2))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2521])). 870.59/112.64 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl6715, plain, ((((c2) = (s @ c2))) <= ((((c1) = (c2))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl6633, zip_derived_cl15])). 870.59/112.64 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl6746, plain, ((((c2) = (c3))) <= ((((c1) = (c2))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl6715, zip_derived_cl19])). 870.59/112.64 thf(zip_derived_cl344, plain, 870.59/112.64 ((((g @ (s @ (s @ c5)) @ c1) = (c1))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl328])). 870.59/112.64 thf(zip_derived_cl165, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.64 | ((g @ X1 @ X0) = (c2)) 870.59/112.64 | ((g @ X1 @ X0) = (c4)) 870.59/112.64 | ((g @ X1 @ X0) = (c5)) 870.59/112.64 | ((g @ X1 @ X0) = (c3)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.64 thf(zip_derived_cl632, plain, 870.59/112.64 (((((c1) = (c3)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c3)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c5)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c4)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c2)))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl344, zip_derived_cl165])). 870.59/112.64 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl329, plain, 870.59/112.64 ((((c3) != (c1))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl324, zip_derived_cl23])). 870.59/112.64 thf(zip_derived_cl680, plain, 870.59/112.64 (((((g @ (s @ c5) @ c1) = (c3)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c5)) 870.59/112.64 | ((g @ (s @ c5) @ c1) = (c2)))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl632, zip_derived_cl20, zip_derived_cl329])). 870.59/112.64 thf(zip_derived_cl1730, plain, 870.59/112.64 ((((g @ (s @ c5) @ c1) = (c3))) <= ((((g @ (s @ c5) @ c1) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl680])). 870.59/112.64 thf(zip_derived_cl13, plain, 870.59/112.64 (![X3 : $i, X5 : $i]: 870.59/112.64 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1737, plain, 870.59/112.64 (((((c3) != (c2)) | ((g @ (s @ c5) @ (s @ c1)) = (c4)))) 870.59/112.64 <= ((((g @ (s @ c5) @ c1) = (c3))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl1730, zip_derived_cl13])). 870.59/112.64 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1749, plain, 870.59/112.64 (((((c3) != (c2)) | ((g @ (s @ c5) @ c2) = (c4)))) 870.59/112.64 <= ((((g @ (s @ c5) @ c1) = (c3))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl1737, zip_derived_cl15])). 870.59/112.64 thf(zip_derived_cl1750, plain, 870.59/112.64 (((((c3) != (c2)) | ((g @ (s @ c5) @ c3) = (c4)))) 870.59/112.64 <= ((((g @ (s @ c5) @ c1) = (c3))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl1749])). 870.59/112.64 thf(zip_derived_cl5802, plain, ((((c3) != (c2))) <= (~ (((c3) = (c2))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl1750])). 870.59/112.64 thf(zip_derived_cl1701, plain, 870.59/112.64 ((((g @ (s @ c5) @ c1) = (c2))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl635])). 870.59/112.64 thf(zip_derived_cl165, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.64 | ((g @ X1 @ X0) = (c2)) 870.59/112.64 | ((g @ X1 @ X0) = (c4)) 870.59/112.64 | ((g @ X1 @ X0) = (c5)) 870.59/112.64 | ((g @ X1 @ X0) = (c3)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.64 thf(zip_derived_cl1704, plain, 870.59/112.64 (((((c2) = (c3)) 870.59/112.64 | ((g @ c5 @ c1) = (c3)) 870.59/112.64 | ((g @ c5 @ c1) = (c5)) 870.59/112.64 | ((g @ c5 @ c1) = (c4)) 870.59/112.64 | ((g @ c5 @ c1) = (c2)))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl1701, zip_derived_cl165])). 870.59/112.64 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1718, plain, 870.59/112.64 (((((c2) = (c3)) 870.59/112.64 | ((g @ c5 @ c1) = (c3)) 870.59/112.64 | ((g @ c5 @ c1) = (c5)) 870.59/112.64 | ((g @ c5 @ c1) = (c2)))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl1704, zip_derived_cl20])). 870.59/112.64 thf(zip_derived_cl5479, plain, ((((c2) = (c3))) <= ((((c3) = (c2))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl1718])). 870.59/112.64 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl5538, plain, ((((c3) = (s @ c3))) <= ((((c3) = (c2))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl5479, zip_derived_cl19])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl5551, plain, ((((c3) = (c4))) <= ((((c3) = (c2))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl5538, zip_derived_cl18])). 870.59/112.64 thf(zip_derived_cl1123, plain, 870.59/112.64 ((((g @ (s @ (s @ c5)) @ c2) = (c4))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl457])). 870.59/112.64 thf(zip_derived_cl10, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1133, plain, 870.59/112.64 (((((c4) != (c3)) | ((g @ (s @ c5) @ c2) = (c1)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl1123, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl3703, plain, ((((c4) != (c3))) <= (~ (((c4) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl1133])). 870.59/112.64 thf(zip_derived_cl1123, plain, 870.59/112.64 ((((g @ (s @ (s @ c5)) @ c2) = (c4))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl457])). 870.59/112.64 thf(zip_derived_cl165, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.64 | ((g @ X1 @ X0) = (c2)) 870.59/112.64 | ((g @ X1 @ X0) = (c4)) 870.59/112.64 | ((g @ X1 @ X0) = (c5)) 870.59/112.64 | ((g @ X1 @ X0) = (c3)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.64 thf(zip_derived_cl1125, plain, 870.59/112.64 (((((c4) = (c3)) 870.59/112.64 | ((g @ (s @ c5) @ c2) = (c3)) 870.59/112.64 | ((g @ (s @ c5) @ c2) = (c5)) 870.59/112.64 | ((g @ (s @ c5) @ c2) = (c4)) 870.59/112.64 | ((g @ (s @ c5) @ c2) = (c2)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl1123, zip_derived_cl165])). 870.59/112.64 thf(zip_derived_cl3556, plain, ((((c4) = (c3))) <= ((((c4) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl1125])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl3638, plain, ((((c4) = (s @ c4))) <= ((((c4) = (c3))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl3556, zip_derived_cl18])). 870.59/112.64 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl3662, plain, ((((c4) = (c5))) <= ((((c4) = (c3))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl3638, zip_derived_cl17])). 870.59/112.64 thf(zip_derived_cl2, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 ( (zip_tseitin_0 @ X0 @ X1) | ((X1) != (c1)) | ((X0) != (c1)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.64 thf(zip_derived_cl27, plain, ( (zip_tseitin_0 @ c1 @ c1)), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl2])). 870.59/112.64 thf(zip_derived_cl8, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 ( (zip_tseitin_2 @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.64 thf(zip_derived_cl72, plain, ( (zip_tseitin_2 @ c1 @ c1)), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl8])). 870.59/112.64 thf(zip_derived_cl24, plain, 870.59/112.64 (![X11 : $i, X12 : $i]: 870.59/112.64 (((g @ X11 @ X12) = (c5)) | ~ (zip_tseitin_2 @ X12 @ X11))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl176, plain, (((g @ c1 @ c1) = (c5))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl24])). 870.59/112.64 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl187, plain, (((c5) != (c4))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl20])). 870.59/112.64 thf('0', plain, (~ (((c4) = (c3)))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl3662, zip_derived_cl187])). 870.59/112.64 thf('1', plain, (~ (((c4) = (c3)))), 870.59/112.64 inference('sat_resolution*', [status(thm)], ['0'])). 870.59/112.64 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.64 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.64 thf('2', plain, (~ (((c3) = (c2)))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl5551, zip_derived_cl3704])). 870.59/112.64 thf('3', plain, (~ (((c3) = (c2)))), 870.59/112.64 inference('sat_resolution*', [status(thm)], ['2'])). 870.59/112.64 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.64 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.64 thf('4', plain, (~ (((c1) = (c2)))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl6746, zip_derived_cl5803])). 870.59/112.64 thf('5', plain, (~ (((c1) = (c2)))), 870.59/112.64 inference('sat_resolution*', [status(thm)], ['4'])). 870.59/112.64 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.64 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.64 thf('6', plain, (~ (((g @ c3 @ c3) = (c4))) | ~ (((g @ c4 @ c2) = (c3)))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl14619, zip_derived_cl6754])). 870.59/112.64 thf(zip_derived_cl2519, plain, 870.59/112.64 ((((g @ c3 @ c3) = (c1))) <= ((((g @ c3 @ c3) = (c1))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2149])). 870.59/112.64 thf(zip_derived_cl610, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c4 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ X0) = (c5)) 870.59/112.64 | ((g @ c3 @ X0) = (c4)) 870.59/112.64 | ((g @ c3 @ X0) = (c2)))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl165])). 870.59/112.64 thf(zip_derived_cl2527, plain, 870.59/112.64 (((((c1) = (c2)) 870.59/112.64 | ((g @ c3 @ c3) = (c4)) 870.59/112.64 | ((g @ c3 @ c3) = (c5)) 870.59/112.64 | ((g @ c3 @ c3) = (c3)) 870.59/112.64 | ((g @ c4 @ c3) = (c3)))) <= ((((g @ c3 @ c3) = (c1))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl2519, zip_derived_cl610])). 870.59/112.64 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.64 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.64 thf(zip_derived_cl6792, plain, 870.59/112.64 (((((g @ c3 @ c3) = (c4)) 870.59/112.64 | ((g @ c3 @ c3) = (c5)) 870.59/112.64 | ((g @ c3 @ c3) = (c3)) 870.59/112.64 | ((g @ c4 @ c3) = (c3)))) <= ((((g @ c3 @ c3) = (c1))))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl2527, zip_derived_cl6754])). 870.59/112.64 thf(zip_derived_cl6796, plain, 870.59/112.64 ((((g @ c3 @ c3) = (c5))) <= ((((g @ c3 @ c3) = (c5))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl6792])). 870.59/112.64 thf(zip_derived_cl25, plain, 870.59/112.64 (![X11 : $i, X13 : $i]: 870.59/112.64 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl6804, plain, 870.59/112.64 (((((c5) != (c5)) | (zip_tseitin_2 @ c3 @ c3))) 870.59/112.64 <= ((((g @ c3 @ c3) = (c5))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl6796, zip_derived_cl25])). 870.59/112.64 thf(zip_derived_cl6826, plain, 870.59/112.64 (( (zip_tseitin_2 @ c3 @ c3)) <= ((((g @ c3 @ c3) = (c5))))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl6804])). 870.59/112.64 thf(zip_derived_cl6, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.64 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.64 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.64 thf(zip_derived_cl6846, plain, 870.59/112.64 ((( (zip_tseitin_1 @ c3 @ c3) | (zip_tseitin_0 @ c3 @ c3))) 870.59/112.64 <= ((((g @ c3 @ c3) = (c5))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl6826, zip_derived_cl6])). 870.59/112.64 thf(zip_derived_cl12965, plain, 870.59/112.64 (( (zip_tseitin_1 @ c3 @ c3)) <= (( (zip_tseitin_1 @ c3 @ c3)))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl6846])). 870.59/112.64 thf(zip_derived_cl4, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.64 thf(zip_derived_cl12968, plain, 870.59/112.64 ((((c3) = (c8))) <= (( (zip_tseitin_1 @ c3 @ c3)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl12965, zip_derived_cl4])). 870.59/112.64 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl13044, plain, 870.59/112.64 ((((c1) = (s @ c3))) <= (( (zip_tseitin_1 @ c3 @ c3)))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl12968, zip_derived_cl14])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl13053, plain, 870.59/112.64 ((((c1) = (c4))) <= (( (zip_tseitin_1 @ c3 @ c3)))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl13044, zip_derived_cl18])). 870.59/112.64 thf(zip_derived_cl2080, plain, 870.59/112.64 ((((g @ c4 @ c3) = (c3))) <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2068])). 870.59/112.64 thf(zip_derived_cl13, plain, 870.59/112.64 (![X3 : $i, X5 : $i]: 870.59/112.64 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl2087, plain, 870.59/112.64 (((((c3) != (c2)) | ((g @ c4 @ (s @ c3)) = (c4)))) 870.59/112.64 <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl2080, zip_derived_cl13])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl2100, plain, 870.59/112.64 (((((c3) != (c2)) | ((g @ c4 @ c4) = (c4)))) 870.59/112.64 <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl2087, zip_derived_cl18])). 870.59/112.64 thf(zip_derived_cl2244, plain, 870.59/112.64 ((((g @ c4 @ c4) = (c4))) <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2100])). 870.59/112.64 thf(zip_derived_cl11, plain, 870.59/112.64 (![X0 : $i, X2 : $i]: 870.59/112.64 (((g @ (s @ X0) @ X2) = (c3)) | ((g @ X0 @ X2) != (c1)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl2259, plain, 870.59/112.64 (((((c4) != (c1)) | ((g @ (s @ c4) @ c4) = (c3)))) 870.59/112.64 <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl2244, zip_derived_cl11])). 870.59/112.64 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl2277, plain, 870.59/112.64 (((((c4) != (c1)) | ((g @ c5 @ c4) = (c3)))) 870.59/112.64 <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl2259, zip_derived_cl17])). 870.59/112.64 thf(zip_derived_cl2824, plain, ((((c4) != (c1))) <= (~ (((c4) = (c1))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2277])). 870.59/112.64 thf(zip_derived_cl2244, plain, 870.59/112.64 ((((g @ c4 @ c4) = (c4))) <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2100])). 870.59/112.64 thf(zip_derived_cl84, plain, 870.59/112.64 (![X0 : $i]: (((g @ c4 @ X0) != (c3)) | ((g @ c3 @ X0) = (c1)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl2247, plain, 870.59/112.64 (((((c4) != (c3)) | ((g @ c3 @ c4) = (c1)))) 870.59/112.64 <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl2244, zip_derived_cl84])). 870.59/112.64 thf(zip_derived_cl2262, plain, 870.59/112.64 (((((c4) != (c3)) | ((g @ c4 @ c4) = (c1)))) 870.59/112.64 <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl2247])). 870.59/112.64 thf(zip_derived_cl2244, plain, 870.59/112.64 ((((g @ c4 @ c4) = (c4))) <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2100])). 870.59/112.64 thf(zip_derived_cl2624, plain, 870.59/112.64 (((((c4) != (c3)) | ((c4) = (c1)))) <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.64 inference('demod', [status(thm)], 870.59/112.64 [zip_derived_cl2262, zip_derived_cl2244])). 870.59/112.64 thf(zip_derived_cl2626, plain, ((((c4) = (c1))) <= ((((c4) = (c1))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl2624])). 870.59/112.64 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl2667, plain, ((((c2) = (s @ c4))) <= ((((c4) = (c1))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl2626, zip_derived_cl15])). 870.59/112.64 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl2692, plain, ((((c2) = (c5))) <= ((((c4) = (c1))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl2667, zip_derived_cl17])). 870.59/112.64 thf(zip_derived_cl5, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 ( (zip_tseitin_1 @ X0 @ X1) | ((X0) != (c8)) | ((X1) != (c8)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.64 thf(zip_derived_cl65, plain, ( (zip_tseitin_1 @ c8 @ c8)), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl5])). 870.59/112.64 thf(zip_derived_cl7, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 ( (zip_tseitin_2 @ X0 @ X1) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.64 thf(zip_derived_cl70, plain, ( (zip_tseitin_2 @ c8 @ c8)), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl7])). 870.59/112.64 thf(zip_derived_cl24, plain, 870.59/112.64 (![X11 : $i, X12 : $i]: 870.59/112.64 (((g @ X11 @ X12) = (c5)) | ~ (zip_tseitin_2 @ X12 @ X11))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl74, plain, (((g @ c8 @ c8) = (c5))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl24])). 870.59/112.64 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl109, plain, (((c5) != (c2))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl21])). 870.59/112.64 thf('7', plain, (~ (((c4) = (c1)))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl2692, zip_derived_cl109])). 870.59/112.64 thf('8', plain, (~ (((c4) = (c1)))), 870.59/112.64 inference('sat_resolution*', [status(thm)], ['7'])). 870.59/112.64 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.64 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.64 thf('9', plain, (~ ( (zip_tseitin_1 @ c3 @ c3))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl13053, zip_derived_cl2825])). 870.59/112.64 thf(zip_derived_cl12966, plain, 870.59/112.64 (( (zip_tseitin_0 @ c3 @ c3)) <= (( (zip_tseitin_0 @ c3 @ c3)))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl6846])). 870.59/112.64 thf(zip_derived_cl1, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.64 thf(zip_derived_cl13055, plain, 870.59/112.64 ((((c3) = (c1))) <= (( (zip_tseitin_0 @ c3 @ c3)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl12966, zip_derived_cl1])). 870.59/112.64 thf(zip_derived_cl324, plain, 870.59/112.64 ((((g @ c8 @ c1) = (c3))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl298])). 870.59/112.64 thf(zip_derived_cl13, plain, 870.59/112.64 (![X3 : $i, X5 : $i]: 870.59/112.64 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl333, plain, 870.59/112.64 (((((c3) != (c2)) | ((g @ c8 @ (s @ c1)) = (c4)))) 870.59/112.64 <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl324, zip_derived_cl13])). 870.59/112.64 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl347, plain, 870.59/112.64 (((((c3) != (c2)) | ((g @ c8 @ c2) = (c4)))) 870.59/112.64 <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl333, zip_derived_cl15])). 870.59/112.64 thf(zip_derived_cl348, plain, 870.59/112.64 (((((c3) != (c2)) | ((g @ c8 @ c3) = (c4)))) 870.59/112.64 <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl347])). 870.59/112.64 thf(zip_derived_cl403, plain, 870.59/112.64 ((((g @ c8 @ c3) = (c4))) <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl348])). 870.59/112.64 thf(zip_derived_cl97, plain, 870.59/112.64 (![X0 : $i]: (((g @ X0 @ c3) != (c4)) | ((g @ X0 @ c2) = (c2)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl12])). 870.59/112.64 thf(zip_derived_cl408, plain, 870.59/112.64 (((((c4) != (c4)) | ((g @ c8 @ c2) = (c2)))) 870.59/112.64 <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl403, zip_derived_cl97])). 870.59/112.64 thf(zip_derived_cl424, plain, 870.59/112.64 ((((g @ c8 @ c2) = (c2))) <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl408])). 870.59/112.64 thf(zip_derived_cl81, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c8 @ X0) != (c3)) | ((g @ (s @ (s @ c5)) @ X0) = (c1)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl501, plain, 870.59/112.64 (((((c2) != (c3)) | ((g @ (s @ (s @ c5)) @ c2) = (c1)))) 870.59/112.64 <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl424, zip_derived_cl81])). 870.59/112.64 thf(zip_derived_cl515, plain, 870.59/112.64 (((((c2) != (c3)) | ((g @ (s @ (s @ c5)) @ c3) = (c1)))) 870.59/112.64 <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl501])). 870.59/112.64 thf(zip_derived_cl1359, plain, 870.59/112.64 ((((g @ (s @ (s @ c5)) @ c3) = (c1))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl515])). 870.59/112.64 thf(zip_derived_cl10, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1368, plain, 870.59/112.64 (((((c1) != (c3)) | ((g @ (s @ c5) @ c3) = (c1)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl1359, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl1377, plain, 870.59/112.64 (((((c1) != (c3)) | ((g @ (s @ c5) @ c3) = (c3)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl1368])). 870.59/112.64 thf(zip_derived_cl4493, plain, ((((c1) != (c3))) <= (~ (((c1) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl1377])). 870.59/112.64 thf(zip_derived_cl1359, plain, 870.59/112.64 ((((g @ (s @ (s @ c5)) @ c3) = (c1))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl515])). 870.59/112.64 thf(zip_derived_cl165, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.64 | ((g @ X1 @ X0) = (c2)) 870.59/112.64 | ((g @ X1 @ X0) = (c4)) 870.59/112.64 | ((g @ X1 @ X0) = (c5)) 870.59/112.64 | ((g @ X1 @ X0) = (c3)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.64 thf(zip_derived_cl1361, plain, 870.59/112.64 (((((c1) = (c3)) 870.59/112.64 | ((g @ (s @ c5) @ c3) = (c3)) 870.59/112.64 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.64 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.64 | ((g @ (s @ c5) @ c3) = (c2)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl1359, zip_derived_cl165])). 870.59/112.64 thf(zip_derived_cl4166, plain, ((((c1) = (c3))) <= ((((c1) = (c3))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl1361])). 870.59/112.64 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl4223, plain, ((((c2) = (s @ c3))) <= ((((c1) = (c3))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl4166, zip_derived_cl15])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl4242, plain, ((((c2) = (c4))) <= ((((c1) = (c3))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl4223, zip_derived_cl18])). 870.59/112.64 thf(zip_derived_cl326, plain, ((((c2) != (c4))) <= (~ (((c2) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl298])). 870.59/112.64 thf(zip_derived_cl403, plain, 870.59/112.64 ((((g @ c8 @ c3) = (c4))) <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl348])). 870.59/112.64 thf(zip_derived_cl81, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c8 @ X0) != (c3)) | ((g @ (s @ (s @ c5)) @ X0) = (c1)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl10])). 870.59/112.64 thf(zip_derived_cl406, plain, 870.59/112.64 (((((c4) != (c3)) | ((g @ (s @ (s @ c5)) @ c3) = (c1)))) 870.59/112.64 <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl403, zip_derived_cl81])). 870.59/112.64 thf(zip_derived_cl423, plain, 870.59/112.64 (((((c4) != (c3)) | ((g @ (s @ (s @ c5)) @ c4) = (c1)))) 870.59/112.64 <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl406])). 870.59/112.64 thf(zip_derived_cl892, plain, 870.59/112.64 ((((g @ (s @ (s @ c5)) @ c4) = (c1))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl423])). 870.59/112.64 thf(zip_derived_cl11, plain, 870.59/112.64 (![X0 : $i, X2 : $i]: 870.59/112.64 (((g @ (s @ X0) @ X2) = (c3)) | ((g @ X0 @ X2) != (c1)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl899, plain, 870.59/112.64 (((((c1) != (c1)) | ((g @ (s @ (s @ (s @ c5))) @ c4) = (c3)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl892, zip_derived_cl11])). 870.59/112.64 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.64 inference('demod', [status(thm)], 870.59/112.64 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.64 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.64 thf(zip_derived_cl908, plain, 870.59/112.64 (((((c1) != (c1)) | ((g @ c8 @ c4) = (c3)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl899, zip_derived_cl32])). 870.59/112.64 thf(zip_derived_cl909, plain, 870.59/112.64 ((((g @ c8 @ c4) = (c3))) <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl908])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl12, plain, 870.59/112.64 (![X3 : $i, X4 : $i]: 870.59/112.64 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl98, plain, 870.59/112.64 (![X0 : $i]: (((g @ X0 @ c4) != (c4)) | ((g @ X0 @ c3) = (c2)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 870.59/112.64 thf(zip_derived_cl1563, plain, 870.59/112.64 (((((c3) != (c4)) | ((g @ c8 @ c3) = (c2)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl909, zip_derived_cl98])). 870.59/112.64 thf(zip_derived_cl1579, plain, 870.59/112.64 (((((c3) != (c4)) | ((g @ c8 @ c4) = (c2)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl1563])). 870.59/112.64 thf(zip_derived_cl909, plain, 870.59/112.64 ((((g @ c8 @ c4) = (c3))) <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl908])). 870.59/112.64 thf(zip_derived_cl1634, plain, 870.59/112.64 (((((c3) != (c4)) | ((c3) = (c2)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl1579, zip_derived_cl909])). 870.59/112.64 thf(zip_derived_cl1635, plain, 870.59/112.64 (((((c3) != (c4)) | ((c4) = (c2)))) 870.59/112.64 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.64 inference('local_rewriting', [status(thm)], [zip_derived_cl1634])). 870.59/112.64 thf(zip_derived_cl1636, plain, ((((c4) = (c2))) <= ((((c2) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl1635])). 870.59/112.64 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1651, plain, ((((c3) = (s @ c4))) <= ((((c2) = (c4))))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl1636, zip_derived_cl19])). 870.59/112.64 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1661, plain, ((((c3) = (c5))) <= ((((c2) = (c4))))), 870.59/112.64 inference('demod', [status(thm)], [zip_derived_cl1651, zip_derived_cl17])). 870.59/112.64 thf(zip_derived_cl176, plain, (((g @ c1 @ c1) = (c5))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl24])). 870.59/112.64 thf(zip_derived_cl22, plain, (![X9 : $i]: ((g @ c1 @ X9) != (c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl186, plain, (((c5) != (c3))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl22])). 870.59/112.64 thf('10', plain, (~ (((c2) = (c4)))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl1661, zip_derived_cl186])). 870.59/112.64 thf('11', plain, (~ (((c2) = (c4)))), 870.59/112.64 inference('sat_resolution*', [status(thm)], ['10'])). 870.59/112.64 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.64 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.64 thf('12', plain, (~ (((c1) = (c3)))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl4242, zip_derived_cl1663])). 870.59/112.64 thf('13', plain, (~ (((c1) = (c3)))), 870.59/112.64 inference('sat_resolution*', [status(thm)], ['12'])). 870.59/112.64 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.64 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.64 thf('14', plain, (~ ( (zip_tseitin_0 @ c3 @ c3))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl13055, zip_derived_cl4494])). 870.59/112.64 thf('15', plain, 870.59/112.64 (~ (((g @ c3 @ c3) = (c5))) | ( (zip_tseitin_0 @ c3 @ c3)) | 870.59/112.64 ( (zip_tseitin_1 @ c3 @ c3))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl6846])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1978, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c3 @ (s @ X0)) = (c4)) 870.59/112.64 | ((g @ c4 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ X0) = (c5)) 870.59/112.64 | ((g @ c3 @ X0) = (c4)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl1947])). 870.59/112.64 thf(zip_derived_cl7113, plain, 870.59/112.64 ((((g @ c3 @ c4) = (c4)) 870.59/112.64 | ((g @ c3 @ c3) = (c4)) 870.59/112.64 | ((g @ c3 @ c3) = (c5)) 870.59/112.64 | ((g @ c3 @ c3) = (c3)) 870.59/112.64 | ((g @ c4 @ c3) = (c3)))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1978])). 870.59/112.64 thf('16', plain, 870.59/112.64 ((((g @ c3 @ c3) = (c5))) | (((g @ c3 @ c3) = (c3))) | 870.59/112.64 (((g @ c3 @ c3) = (c4))) | (((g @ c3 @ c4) = (c4))) | 870.59/112.64 (((g @ c4 @ c3) = (c3)))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl7113])). 870.59/112.64 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl165, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.64 | ((g @ X1 @ X0) = (c2)) 870.59/112.64 | ((g @ X1 @ X0) = (c4)) 870.59/112.64 | ((g @ X1 @ X0) = (c5)) 870.59/112.64 | ((g @ X1 @ X0) = (c3)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.64 thf(zip_derived_cl609, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c3 @ X0) = (c3)) 870.59/112.64 | ((g @ c2 @ X0) = (c3)) 870.59/112.64 | ((g @ c2 @ X0) = (c5)) 870.59/112.64 | ((g @ c2 @ X0) = (c4)) 870.59/112.64 | ((g @ c2 @ X0) = (c2)))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl165])). 870.59/112.64 thf(zip_derived_cl13, plain, 870.59/112.64 (![X3 : $i, X5 : $i]: 870.59/112.64 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1873, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((c2) != (c2)) 870.59/112.64 | ((g @ c2 @ X0) = (c4)) 870.59/112.64 | ((g @ c2 @ X0) = (c5)) 870.59/112.64 | ((g @ c2 @ X0) = (c3)) 870.59/112.64 | ((g @ c3 @ X0) = (c3)) 870.59/112.64 | ((g @ c2 @ (s @ X0)) = (c4)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl609, zip_derived_cl13])). 870.59/112.64 thf(zip_derived_cl1911, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c2 @ (s @ X0)) = (c4)) 870.59/112.64 | ((g @ c3 @ X0) = (c3)) 870.59/112.64 | ((g @ c2 @ X0) = (c3)) 870.59/112.64 | ((g @ c2 @ X0) = (c5)) 870.59/112.64 | ((g @ c2 @ X0) = (c4)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl1873])). 870.59/112.64 thf(zip_derived_cl6593, plain, 870.59/112.64 ((((g @ c2 @ c5) = (c4)) 870.59/112.64 | ((g @ c2 @ c4) = (c4)) 870.59/112.64 | ((g @ c2 @ c4) = (c5)) 870.59/112.64 | ((g @ c2 @ c4) = (c3)) 870.59/112.64 | ((g @ c3 @ c4) = (c3)))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1911])). 870.59/112.64 thf('17', plain, 870.59/112.64 ((((g @ c2 @ c4) = (c4))) | (((g @ c2 @ c4) = (c3))) | 870.59/112.64 (((g @ c2 @ c4) = (c5))) | (((g @ c3 @ c4) = (c3))) | 870.59/112.64 (((g @ c2 @ c5) = (c4)))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl6593])). 870.59/112.64 thf(zip_derived_cl12610, plain, 870.59/112.64 ((((g @ c2 @ c4) = (c5))) <= ((((g @ c2 @ c4) = (c5))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl6593])). 870.59/112.64 thf(zip_derived_cl25, plain, 870.59/112.64 (![X11 : $i, X13 : $i]: 870.59/112.64 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl13223, plain, 870.59/112.64 (((((c5) != (c5)) | (zip_tseitin_2 @ c4 @ c2))) 870.59/112.64 <= ((((g @ c2 @ c4) = (c5))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl12610, zip_derived_cl25])). 870.59/112.64 thf(zip_derived_cl13242, plain, 870.59/112.64 (( (zip_tseitin_2 @ c4 @ c2)) <= ((((g @ c2 @ c4) = (c5))))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl13223])). 870.59/112.64 thf(zip_derived_cl6, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.64 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.64 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.64 thf(zip_derived_cl13345, plain, 870.59/112.64 ((( (zip_tseitin_1 @ c4 @ c2) | (zip_tseitin_0 @ c4 @ c2))) 870.59/112.64 <= ((((g @ c2 @ c4) = (c5))))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl13242, zip_derived_cl6])). 870.59/112.64 thf(zip_derived_cl24650, plain, 870.59/112.64 (( (zip_tseitin_1 @ c4 @ c2)) <= (( (zip_tseitin_1 @ c4 @ c2)))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl13345])). 870.59/112.64 thf(zip_derived_cl4, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.64 thf(zip_derived_cl24653, plain, 870.59/112.64 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ c4 @ c2)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl24650, zip_derived_cl4])). 870.59/112.64 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl26, plain, 870.59/112.64 (![X14 : $i]: ((s @ (s @ (s @ (s @ X14)))) != (X14))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl33, plain, (((s @ (s @ (s @ c1))) != (c8))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl26])). 870.59/112.64 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl49, plain, (((c4) != (c8))), 870.59/112.64 inference('demod', [status(thm)], 870.59/112.64 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 870.59/112.64 zip_derived_cl18])). 870.59/112.64 thf('18', plain, (~ ( (zip_tseitin_1 @ c4 @ c2))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl24653, zip_derived_cl49])). 870.59/112.64 thf(zip_derived_cl24651, plain, 870.59/112.64 (( (zip_tseitin_0 @ c4 @ c2)) <= (( (zip_tseitin_0 @ c4 @ c2)))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl13345])). 870.59/112.64 thf(zip_derived_cl1, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.64 thf(zip_derived_cl24660, plain, 870.59/112.64 ((((c2) = (c1))) <= (( (zip_tseitin_0 @ c4 @ c2)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl24651, zip_derived_cl1])). 870.59/112.64 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.64 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.64 thf('19', plain, (~ ( (zip_tseitin_0 @ c4 @ c2))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl24660, zip_derived_cl6754])). 870.59/112.64 thf('20', plain, 870.59/112.64 (~ (((g @ c2 @ c4) = (c5))) | ( (zip_tseitin_0 @ c4 @ c2)) | 870.59/112.64 ( (zip_tseitin_1 @ c4 @ c2))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl13345])). 870.59/112.64 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl165, plain, 870.59/112.64 (![X0 : $i, X1 : $i]: 870.59/112.64 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.64 | ((g @ X1 @ X0) = (c2)) 870.59/112.64 | ((g @ X1 @ X0) = (c4)) 870.59/112.64 | ((g @ X1 @ X0) = (c5)) 870.59/112.64 | ((g @ X1 @ X0) = (c3)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.64 thf(zip_derived_cl608, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c2 @ X0) = (c3)) 870.59/112.64 | ((g @ c1 @ X0) = (c3)) 870.59/112.64 | ((g @ c1 @ X0) = (c5)) 870.59/112.64 | ((g @ c1 @ X0) = (c4)) 870.59/112.64 | ((g @ c1 @ X0) = (c2)))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl165])). 870.59/112.64 thf(zip_derived_cl22, plain, (![X9 : $i]: ((g @ c1 @ X9) != (c3))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl634, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c2 @ X0) = (c3)) 870.59/112.64 | ((g @ c1 @ X0) = (c5)) 870.59/112.64 | ((g @ c1 @ X0) = (c4)) 870.59/112.64 | ((g @ c1 @ X0) = (c2)))), 870.59/112.64 inference('simplify_reflect-', [status(thm)], 870.59/112.64 [zip_derived_cl608, zip_derived_cl22])). 870.59/112.64 thf(zip_derived_cl13, plain, 870.59/112.64 (![X3 : $i, X5 : $i]: 870.59/112.64 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl2174, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((c2) != (c2)) 870.59/112.64 | ((g @ c1 @ X0) = (c4)) 870.59/112.64 | ((g @ c1 @ X0) = (c5)) 870.59/112.64 | ((g @ c2 @ X0) = (c3)) 870.59/112.64 | ((g @ c1 @ (s @ X0)) = (c4)))), 870.59/112.64 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl13])). 870.59/112.64 thf(zip_derived_cl2214, plain, 870.59/112.64 (![X0 : $i]: 870.59/112.64 (((g @ c1 @ (s @ X0)) = (c4)) 870.59/112.64 | ((g @ c2 @ X0) = (c3)) 870.59/112.64 | ((g @ c1 @ X0) = (c5)) 870.59/112.64 | ((g @ c1 @ X0) = (c4)))), 870.59/112.64 inference('simplify', [status(thm)], [zip_derived_cl2174])). 870.59/112.64 thf(zip_derived_cl7905, plain, 870.59/112.64 ((((g @ c1 @ c4) = (c4)) 870.59/112.64 | ((g @ c1 @ c3) = (c4)) 870.59/112.64 | ((g @ c1 @ c3) = (c5)) 870.59/112.64 | ((g @ c2 @ c3) = (c3)))), 870.59/112.64 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl2214])). 870.59/112.64 thf(zip_derived_cl14787, plain, 870.59/112.64 ((((g @ c1 @ c4) = (c4))) <= ((((g @ c1 @ c4) = (c4))))), 870.59/112.64 inference('split', [status(esa)], [zip_derived_cl7905])). 870.59/112.64 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.64 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.64 thf(zip_derived_cl1911, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c2 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c5)) 870.59/112.65 | ((g @ c2 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1873])). 870.59/112.65 thf(zip_derived_cl6606, plain, 870.59/112.65 ((((g @ c2 @ c5) = (c4)) 870.59/112.65 | ((g @ c2 @ c4) = (c4)) 870.59/112.65 | ((g @ c2 @ c4) = (c5)) 870.59/112.65 | ((g @ c2 @ c4) = (c3)) 870.59/112.65 | ((g @ c3 @ c4) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1911])). 870.59/112.65 thf(zip_derived_cl12754, plain, 870.59/112.65 ((((g @ c2 @ c4) = (c3))) <= ((((g @ c2 @ c4) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6606])). 870.59/112.65 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl82, plain, 870.59/112.65 (![X0 : $i]: (((g @ c2 @ X0) != (c3)) | ((g @ c1 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl12759, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c1 @ c4) = (c1)))) 870.59/112.65 <= ((((g @ c2 @ c4) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl12754, zip_derived_cl82])). 870.59/112.65 thf(zip_derived_cl12781, plain, 870.59/112.65 ((((g @ c1 @ c4) = (c1))) <= ((((g @ c2 @ c4) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl12759])). 870.59/112.65 thf(zip_derived_cl14790, plain, 870.59/112.65 ((((c4) = (c1))) <= ((((g @ c2 @ c4) = (c3))) & (((g @ c1 @ c4) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl14787, zip_derived_cl12781])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('21', plain, (~ (((g @ c2 @ c4) = (c3))) | ~ (((g @ c1 @ c4) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl14790, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl2244, plain, 870.59/112.65 ((((g @ c4 @ c4) = (c4))) <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2100])). 870.59/112.65 thf(zip_derived_cl98, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c4) != (c4)) | ((g @ X0 @ c3) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl2248, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c4 @ c3) = (c2)))) 870.59/112.65 <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2244, zip_derived_cl98])). 870.59/112.65 thf(zip_derived_cl2263, plain, 870.59/112.65 ((((g @ c4 @ c3) = (c2))) <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2248])). 870.59/112.65 thf(zip_derived_cl2080, plain, 870.59/112.65 ((((g @ c4 @ c3) = (c3))) <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2068])). 870.59/112.65 thf(zip_derived_cl6267, plain, 870.59/112.65 ((((c2) = (c3))) <= ((((g @ c4 @ c3) = (c3))) & (((g @ c4 @ c4) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2263, zip_derived_cl2080])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf('22', plain, (~ (((g @ c4 @ c3) = (c3))) | ~ (((g @ c4 @ c4) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl6267, zip_derived_cl5803])). 870.59/112.65 thf(zip_derived_cl403, plain, 870.59/112.65 ((((g @ c8 @ c3) = (c4))) <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl348])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl411, plain, 870.59/112.65 (((((c4) != (c2)) | ((g @ c8 @ (s @ c3)) = (c4)))) 870.59/112.65 <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl403, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl427, plain, 870.59/112.65 (((((c4) != (c2)) | ((g @ c8 @ c4) = (c4)))) 870.59/112.65 <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl411, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl465, plain, 870.59/112.65 ((((g @ c8 @ c4) = (c4))) <= ((((g @ c8 @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl427])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl473, plain, 870.59/112.65 (((((c4) != (c2)) | ((g @ c8 @ (s @ c4)) = (c4)))) 870.59/112.65 <= ((((g @ c8 @ c4) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl465, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl489, plain, 870.59/112.65 (((((c4) != (c2)) | ((g @ c8 @ c5) = (c4)))) 870.59/112.65 <= ((((g @ c8 @ c4) = (c4))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl473, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl535, plain, 870.59/112.65 ((((g @ c8 @ c5) = (c4))) <= ((((g @ c8 @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl489])). 870.59/112.65 thf(zip_derived_cl81, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ X0) != (c3)) | ((g @ (s @ (s @ c5)) @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl538, plain, 870.59/112.65 (((((c4) != (c3)) | ((g @ (s @ (s @ c5)) @ c5) = (c1)))) 870.59/112.65 <= ((((g @ c8 @ c5) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl535, zip_derived_cl81])). 870.59/112.65 thf(zip_derived_cl1434, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c5) = (c1))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl538])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1440, plain, 870.59/112.65 (((((c1) != (c2)) | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c1))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl1434, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl4745, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1440])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl4756, plain, 870.59/112.65 (((((c4) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4745, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl4772, plain, 870.59/112.65 (((((g @ (s @ c5) @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl4756, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl10476, plain, 870.59/112.65 ((((g @ (s @ c5) @ (s @ c5)) = (c4))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl4772])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl10480, plain, 870.59/112.65 (((((c4) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl10476, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl10496, plain, 870.59/112.65 (((((g @ c5 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl10480, zip_derived_cl3704])). 870.59/112.65 thf('23', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ (s @ c5)) = (c4))) | 870.59/112.65 (((g @ c5 @ (s @ c5)) = (c3))) | (((g @ c5 @ (s @ c5)) = (c5))) | 870.59/112.65 (((g @ c5 @ (s @ c5)) = (c4))) | (((g @ c5 @ (s @ c5)) = (c2)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10496])). 870.59/112.65 thf(zip_derived_cl4745, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1440])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl4748, plain, 870.59/112.65 (((((c4) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4745, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl4765, plain, 870.59/112.65 (((((g @ (s @ c5) @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl4748, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl10410, plain, 870.59/112.65 ((((g @ (s @ c5) @ (s @ c5)) = (c5))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl4765])). 870.59/112.65 thf(zip_derived_cl25, plain, 870.59/112.65 (![X11 : $i, X13 : $i]: 870.59/112.65 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl11165, plain, 870.59/112.65 (((((c5) != (c5)) | (zip_tseitin_2 @ (s @ c5) @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl10410, zip_derived_cl25])). 870.59/112.65 thf(zip_derived_cl11186, plain, 870.59/112.65 (( (zip_tseitin_2 @ (s @ c5) @ (s @ c5))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11165])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl11203, plain, 870.59/112.65 ((( (zip_tseitin_1 @ (s @ c5) @ (s @ c5)) 870.59/112.65 | (zip_tseitin_0 @ (s @ c5) @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl11186, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl20833, plain, 870.59/112.65 (( (zip_tseitin_1 @ (s @ c5) @ (s @ c5))) 870.59/112.65 <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl11203])). 870.59/112.65 thf(zip_derived_cl4, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl20836, plain, 870.59/112.65 ((((s @ c5) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl20833, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl20977, plain, 870.59/112.65 ((((s @ (s @ c8)) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl20836, zip_derived_cl32])). 870.59/112.65 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl21255, plain, 870.59/112.65 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl20977, zip_derived_cl14, zip_derived_cl15])). 870.59/112.65 thf(zip_derived_cl20836, plain, 870.59/112.65 ((((s @ c5) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl20833, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl26, plain, 870.59/112.65 (![X14 : $i]: ((s @ (s @ (s @ (s @ X14)))) != (X14))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl36, plain, (((s @ (s @ (s @ c3))) != (c2))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl26])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl52, plain, (((s @ c5) != (c2))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl36, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl20975, plain, 870.59/112.65 ((((c8) != (c2))) <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl20836, zip_derived_cl52])). 870.59/112.65 thf('24', plain, (~ ( (zip_tseitin_1 @ (s @ c5) @ (s @ c5)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl21255, zip_derived_cl20975])). 870.59/112.65 thf(zip_derived_cl11186, plain, 870.59/112.65 (( (zip_tseitin_2 @ (s @ c5) @ (s @ c5))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11165])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl11205, plain, 870.59/112.65 ((( (zip_tseitin_1 @ (s @ c5) @ (s @ c5)) 870.59/112.65 | (zip_tseitin_0 @ (s @ c5) @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl11186, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl20842, plain, 870.59/112.65 (( (zip_tseitin_0 @ (s @ c5) @ (s @ c5))) 870.59/112.65 <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl11205])). 870.59/112.65 thf(zip_derived_cl1, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.65 thf(zip_derived_cl20843, plain, 870.59/112.65 ((((s @ c5) = (c1))) <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl20842, zip_derived_cl1])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl21624, plain, 870.59/112.65 ((((s @ (s @ c1)) = (c8))) <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl20843, zip_derived_cl32])). 870.59/112.65 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl21881, plain, 870.59/112.65 ((((c3) = (c8))) <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl21624, zip_derived_cl15, zip_derived_cl19])). 870.59/112.65 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl22075, plain, 870.59/112.65 ((((c1) = (s @ c3))) <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl21881, zip_derived_cl14])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl22100, plain, 870.59/112.65 ((((c1) = (c4))) <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ c5))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl22075, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('25', plain, (~ ( (zip_tseitin_0 @ (s @ c5) @ (s @ c5)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl22100, zip_derived_cl2825])). 870.59/112.65 thf('26', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ (s @ c5)) = (c5))) | 870.59/112.65 ( (zip_tseitin_0 @ (s @ c5) @ (s @ c5))) | 870.59/112.65 ( (zip_tseitin_1 @ (s @ c5) @ (s @ c5)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl11203])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl607, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c2)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1771, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((c2) != (c2)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ (s @ X0)) = (c4)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl607, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl1820, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ (s @ c5)) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1771])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl6119, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((c4) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c2)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl1820, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl6150, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c2)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl6119, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl4745, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1440])). 870.59/112.65 thf(zip_derived_cl12, plain, 870.59/112.65 (![X3 : $i, X4 : $i]: 870.59/112.65 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl4750, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ (s @ (s @ c5)) @ c5) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl4745, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl4766, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c5) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4750])). 870.59/112.65 thf(zip_derived_cl11964, plain, 870.59/112.65 (((((c3) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c8 @ c5) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c5) = (c4)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl6150, zip_derived_cl4766])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl12059, plain, 870.59/112.65 (((((g @ (s @ c5) @ (s @ c5)) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c8 @ c5) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c5) = (c4)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl11964, zip_derived_cl5803])). 870.59/112.65 thf('27', plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c5) = (c5))) | (((g @ c8 @ c5) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ (s @ c5)) = (c5))) | 870.59/112.65 (((g @ (s @ c5) @ (s @ c5)) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ (s @ c5)) = (c4))) | 870.59/112.65 (((g @ (s @ c5) @ (s @ c5)) = (c2))) | 870.59/112.65 (((g @ (s @ (s @ c5)) @ c5) = (c4))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl12059])). 870.59/112.65 thf(zip_derived_cl10409, plain, 870.59/112.65 ((((g @ (s @ c5) @ (s @ c5)) = (c3))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl4765])). 870.59/112.65 thf(zip_derived_cl1434, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c5) = (c1))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl538])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl1436, plain, 870.59/112.65 (((((c1) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c1))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl1434, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf(zip_derived_cl4618, plain, 870.59/112.65 (((((g @ (s @ c5) @ c5) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c1))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl1436, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl4619, plain, 870.59/112.65 ((((g @ (s @ c5) @ c5) = (c2))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl4618])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl4628, plain, 870.59/112.65 (((((c2) != (c2)) | ((g @ (s @ c5) @ (s @ c5)) = (c4)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl4619, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl4638, plain, 870.59/112.65 ((((g @ (s @ c5) @ (s @ c5)) = (c4))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4628])). 870.59/112.65 thf(zip_derived_cl11102, plain, 870.59/112.65 ((((c3) = (c4))) 870.59/112.65 <= ((((g @ (s @ c5) @ c5) = (c2))) & 870.59/112.65 (((g @ (s @ c5) @ (s @ c5)) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl10409, zip_derived_cl4638])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf('28', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c5) = (c2))) | 870.59/112.65 ~ (((g @ (s @ c5) @ (s @ c5)) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl11102, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl10407, plain, 870.59/112.65 ((((g @ (s @ c5) @ (s @ c5)) = (c2))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl4765])). 870.59/112.65 thf(zip_derived_cl4638, plain, 870.59/112.65 ((((g @ (s @ c5) @ (s @ c5)) = (c4))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4628])). 870.59/112.65 thf(zip_derived_cl10411, plain, 870.59/112.65 ((((c2) = (c4))) 870.59/112.65 <= ((((g @ (s @ c5) @ c5) = (c2))) & 870.59/112.65 (((g @ (s @ c5) @ (s @ c5)) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl10407, zip_derived_cl4638])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('29', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ (s @ c5)) = (c2))) | 870.59/112.65 ~ (((g @ (s @ c5) @ c5) = (c2)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl10411, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl1911, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c2 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c5)) 870.59/112.65 | ((g @ c2 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1873])). 870.59/112.65 thf(zip_derived_cl6602, plain, 870.59/112.65 ((((g @ c2 @ c8) = (c4)) 870.59/112.65 | ((g @ c2 @ (s @ (s @ c5))) = (c4)) 870.59/112.65 | ((g @ c2 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c2 @ (s @ (s @ c5))) = (c3)) 870.59/112.65 | ((g @ c3 @ (s @ (s @ c5))) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1911])). 870.59/112.65 thf(zip_derived_cl12653, plain, 870.59/112.65 ((((g @ c2 @ (s @ (s @ c5))) = (c4))) 870.59/112.65 <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6602])). 870.59/112.65 thf(zip_derived_cl12, plain, 870.59/112.65 (![X3 : $i, X4 : $i]: 870.59/112.65 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl12659, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c2 @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl12653, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl12673, plain, 870.59/112.65 ((((g @ c2 @ (s @ c5)) = (c2))) <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl12659])). 870.59/112.65 thf(zip_derived_cl1911, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c2 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c5)) 870.59/112.65 | ((g @ c2 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1873])). 870.59/112.65 thf(zip_derived_cl24203, plain, 870.59/112.65 (((((c2) = (c4)) 870.59/112.65 | ((g @ c2 @ c5) = (c4)) 870.59/112.65 | ((g @ c2 @ c5) = (c5)) 870.59/112.65 | ((g @ c2 @ c5) = (c3)) 870.59/112.65 | ((g @ c3 @ c5) = (c3)))) <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl12673, zip_derived_cl1911])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf(zip_derived_cl24217, plain, 870.59/112.65 (((((g @ c2 @ c5) = (c4)) 870.59/112.65 | ((g @ c2 @ c5) = (c5)) 870.59/112.65 | ((g @ c2 @ c5) = (c3)) 870.59/112.65 | ((g @ c3 @ c5) = (c3)))) <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl24203, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl30519, plain, 870.59/112.65 ((((g @ c2 @ c5) = (c3))) <= ((((g @ c2 @ c5) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl24217])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl1911, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c2 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c5)) 870.59/112.65 | ((g @ c2 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1873])). 870.59/112.65 thf(zip_derived_cl6589, plain, 870.59/112.65 ((((g @ c2 @ c8) = (c4)) 870.59/112.65 | ((g @ c2 @ (s @ (s @ c5))) = (c4)) 870.59/112.65 | ((g @ c2 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c2 @ (s @ (s @ c5))) = (c3)) 870.59/112.65 | ((g @ c3 @ (s @ (s @ c5))) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1911])). 870.59/112.65 thf(zip_derived_cl12473, plain, 870.59/112.65 ((((g @ c3 @ (s @ (s @ c5))) = (c3))) 870.59/112.65 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6589])). 870.59/112.65 thf(zip_derived_cl1978, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c3 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c5)) 870.59/112.65 | ((g @ c3 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1947])). 870.59/112.65 thf(zip_derived_cl12486, plain, 870.59/112.65 (((((c3) = (c4)) 870.59/112.65 | ((g @ c3 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c3 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c3 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c4 @ (s @ c5)) = (c3)))) 870.59/112.65 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl12473, zip_derived_cl1978])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl12503, plain, 870.59/112.65 (((((g @ c3 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c3 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c3 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c4 @ (s @ c5)) = (c3)))) 870.59/112.65 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl12486, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl24032, plain, 870.59/112.65 ((((g @ c3 @ (s @ c5)) = (c3))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl12503])). 870.59/112.65 thf(zip_derived_cl1978, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c3 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c5)) 870.59/112.65 | ((g @ c3 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1947])). 870.59/112.65 thf(zip_derived_cl24045, plain, 870.59/112.65 (((((c3) = (c4)) 870.59/112.65 | ((g @ c3 @ c5) = (c4)) 870.59/112.65 | ((g @ c3 @ c5) = (c5)) 870.59/112.65 | ((g @ c3 @ c5) = (c3)) 870.59/112.65 | ((g @ c4 @ c5) = (c3)))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl24032, zip_derived_cl1978])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl24063, plain, 870.59/112.65 (((((g @ c3 @ c5) = (c4)) 870.59/112.65 | ((g @ c3 @ c5) = (c5)) 870.59/112.65 | ((g @ c3 @ c5) = (c3)) 870.59/112.65 | ((g @ c4 @ c5) = (c3)))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl24045, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl30475, plain, 870.59/112.65 ((((g @ c3 @ c5) = (c3))) <= ((((g @ c3 @ c5) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl24063])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl83, plain, 870.59/112.65 (![X0 : $i]: (((g @ c3 @ X0) != (c3)) | ((g @ c2 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl30480, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c2 @ c5) = (c1)))) 870.59/112.65 <= ((((g @ c3 @ c5) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl30475, zip_derived_cl83])). 870.59/112.65 thf(zip_derived_cl30498, plain, 870.59/112.65 ((((g @ c2 @ c5) = (c1))) <= ((((g @ c3 @ c5) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl30480])). 870.59/112.65 thf(zip_derived_cl30818, plain, 870.59/112.65 ((((c3) = (c1))) <= ((((g @ c3 @ c5) = (c3))) & (((g @ c2 @ c5) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl30519, zip_derived_cl30498])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf('30', plain, (~ (((g @ c3 @ c5) = (c3))) | ~ (((g @ c2 @ c5) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl30818, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1978, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c3 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c5)) 870.59/112.65 | ((g @ c3 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1947])). 870.59/112.65 thf(zip_derived_cl7127, plain, 870.59/112.65 ((((g @ c3 @ c5) = (c4)) 870.59/112.65 | ((g @ c3 @ c4) = (c4)) 870.59/112.65 | ((g @ c3 @ c4) = (c5)) 870.59/112.65 | ((g @ c3 @ c4) = (c3)) 870.59/112.65 | ((g @ c4 @ c4) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1978])). 870.59/112.65 thf(zip_derived_cl13560, plain, 870.59/112.65 ((((g @ c3 @ c5) = (c4))) <= ((((g @ c3 @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7127])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl12, plain, 870.59/112.65 (![X3 : $i, X4 : $i]: 870.59/112.65 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl99, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c5) != (c4)) | ((g @ X0 @ c4) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl13566, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c3 @ c4) = (c2)))) 870.59/112.65 <= ((((g @ c3 @ c5) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl13560, zip_derived_cl99])). 870.59/112.65 thf(zip_derived_cl13580, plain, 870.59/112.65 ((((g @ c3 @ c4) = (c2))) <= ((((g @ c3 @ c5) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl13566])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1978, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c3 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c5)) 870.59/112.65 | ((g @ c3 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1947])). 870.59/112.65 thf(zip_derived_cl7114, plain, 870.59/112.65 ((((g @ c3 @ c5) = (c4)) 870.59/112.65 | ((g @ c3 @ c4) = (c4)) 870.59/112.65 | ((g @ c3 @ c4) = (c5)) 870.59/112.65 | ((g @ c3 @ c4) = (c3)) 870.59/112.65 | ((g @ c4 @ c4) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1978])). 870.59/112.65 thf(zip_derived_cl13353, plain, 870.59/112.65 ((((g @ c4 @ c4) = (c3))) <= ((((g @ c4 @ c4) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7114])). 870.59/112.65 thf(zip_derived_cl84, plain, 870.59/112.65 (![X0 : $i]: (((g @ c4 @ X0) != (c3)) | ((g @ c3 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl13361, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c3 @ c4) = (c1)))) 870.59/112.65 <= ((((g @ c4 @ c4) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl13353, zip_derived_cl84])). 870.59/112.65 thf(zip_derived_cl13379, plain, 870.59/112.65 ((((g @ c3 @ c4) = (c1))) <= ((((g @ c4 @ c4) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl13361])). 870.59/112.65 thf(zip_derived_cl15213, plain, 870.59/112.65 ((((c2) = (c1))) <= ((((g @ c4 @ c4) = (c3))) & (((g @ c3 @ c5) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl13580, zip_derived_cl13379])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('31', plain, (~ (((g @ c3 @ c5) = (c4))) | ~ (((g @ c4 @ c4) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl15213, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl6150, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c2)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl6119, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl11968, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((c3) != (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c3)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl6150, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl12065, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ c5) @ X0) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c2)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11968])). 870.59/112.65 thf(zip_derived_cl97, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c3) != (c4)) | ((g @ X0 @ c2) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl23642, plain, 870.59/112.65 ((((c4) != (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c3)) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c3)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c3)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c3)) = (c3)) 870.59/112.65 | ((g @ c8 @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c2) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl12065, zip_derived_cl97])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl23757, plain, 870.59/112.65 ((((c4) != (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c3)) 870.59/112.65 | ((g @ c8 @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c2) = (c2)))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl23642, zip_derived_cl18, zip_derived_cl18, 870.59/112.65 zip_derived_cl18, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl23758, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c5)) 870.59/112.65 | ((g @ c8 @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c2)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl23757])). 870.59/112.65 thf('32', plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c2))) | (((g @ (s @ c5) @ c3) = (c1))) | 870.59/112.65 (((g @ (s @ (s @ c5)) @ c3) = (c5))) | (((g @ c8 @ c3) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ c4) = (c5))) | (((g @ (s @ c5) @ c4) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ c4) = (c4))) | (((g @ (s @ c5) @ c4) = (c2)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl23758])). 870.59/112.65 thf(zip_derived_cl29659, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl23758])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl29669, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl29659, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl29696, plain, 870.59/112.65 (((((g @ (s @ c5) @ c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c2))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl29669, zip_derived_cl5803])). 870.59/112.65 thf('33', plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c5))) | (((g @ (s @ c5) @ c2) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ c2) = (c4))) | (((g @ (s @ c5) @ c2) = (c2))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ c2) = (c2)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl29696])). 870.59/112.65 thf(zip_derived_cl3555, plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c5))) <= ((((g @ (s @ c5) @ c2) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1125])). 870.59/112.65 thf(zip_derived_cl25, plain, 870.59/112.65 (![X11 : $i, X13 : $i]: 870.59/112.65 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl8813, plain, 870.59/112.65 (((((c5) != (c5)) | (zip_tseitin_2 @ c2 @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c2) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl3555, zip_derived_cl25])). 870.59/112.65 thf(zip_derived_cl8837, plain, 870.59/112.65 (( (zip_tseitin_2 @ c2 @ (s @ c5))) <= ((((g @ (s @ c5) @ c2) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl8813])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl9393, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c2 @ (s @ c5)) | (zip_tseitin_0 @ c2 @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c2) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl8837, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl17202, plain, 870.59/112.65 (( (zip_tseitin_0 @ c2 @ (s @ c5))) 870.59/112.65 <= (( (zip_tseitin_0 @ c2 @ (s @ c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl9393])). 870.59/112.65 thf(zip_derived_cl0, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.65 thf(zip_derived_cl17205, plain, 870.59/112.65 ((((c2) = (c1))) <= (( (zip_tseitin_0 @ c2 @ (s @ c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17202, zip_derived_cl0])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('34', plain, (~ ( (zip_tseitin_0 @ c2 @ (s @ c5)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl17205, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl8837, plain, 870.59/112.65 (( (zip_tseitin_2 @ c2 @ (s @ c5))) <= ((((g @ (s @ c5) @ c2) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl8813])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl9391, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c2 @ (s @ c5)) | (zip_tseitin_0 @ c2 @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c2) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl8837, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl17196, plain, 870.59/112.65 (( (zip_tseitin_1 @ c2 @ (s @ c5))) 870.59/112.65 <= (( (zip_tseitin_1 @ c2 @ (s @ c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl9391])). 870.59/112.65 thf(zip_derived_cl4, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl17199, plain, 870.59/112.65 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ c2 @ (s @ c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17196, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl17273, plain, 870.59/112.65 ((((c1) = (s @ c2))) <= (( (zip_tseitin_1 @ c2 @ (s @ c5))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17199, zip_derived_cl14])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl17285, plain, 870.59/112.65 ((((c1) = (c3))) <= (( (zip_tseitin_1 @ c2 @ (s @ c5))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl17273, zip_derived_cl19])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf('35', plain, (~ ( (zip_tseitin_1 @ c2 @ (s @ c5)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl17285, zip_derived_cl4494])). 870.59/112.65 thf('36', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c2) = (c5))) | ( (zip_tseitin_1 @ c2 @ (s @ c5))) | 870.59/112.65 ( (zip_tseitin_0 @ c2 @ (s @ c5)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl9391])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1820, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ (s @ c5)) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1771])). 870.59/112.65 thf(zip_derived_cl6130, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c3)) 870.59/112.65 | ((g @ c8 @ c3) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1820])). 870.59/112.65 thf(zip_derived_cl11504, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6130])). 870.59/112.65 thf(zip_derived_cl97, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c3) != (c4)) | ((g @ X0 @ c2) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl11515, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ (s @ (s @ c5)) @ c2) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl11504, zip_derived_cl97])). 870.59/112.65 thf(zip_derived_cl11540, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11515])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl22414, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl11540, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl22441, plain, 870.59/112.65 (((((g @ (s @ c5) @ c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl22414, zip_derived_cl5803])). 870.59/112.65 thf('37', plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c5))) | (((g @ (s @ c5) @ c2) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ c2) = (c4))) | (((g @ (s @ c5) @ c2) = (c2))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ c3) = (c4)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl22441])). 870.59/112.65 thf(zip_derived_cl1123, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl457])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl1132, plain, 870.59/112.65 (((((c4) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl1123, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl3668, plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c4))) <= ((((g @ (s @ c5) @ c2) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1132])). 870.59/112.65 thf(zip_derived_cl96, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c2) != (c4)) | ((g @ X0 @ c1) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl3676, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ (s @ c5) @ c1) = (c2)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c2) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl3668, zip_derived_cl96])). 870.59/112.65 thf(zip_derived_cl3692, plain, 870.59/112.65 ((((g @ (s @ c5) @ c1) = (c2))) <= ((((g @ (s @ c5) @ c2) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl3676])). 870.59/112.65 thf(zip_derived_cl1730, plain, 870.59/112.65 ((((g @ (s @ c5) @ c1) = (c3))) <= ((((g @ (s @ c5) @ c1) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl680])). 870.59/112.65 thf(zip_derived_cl9349, plain, 870.59/112.65 ((((c2) = (c3))) 870.59/112.65 <= ((((g @ (s @ c5) @ c1) = (c3))) & (((g @ (s @ c5) @ c2) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl3692, zip_derived_cl1730])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf('38', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c2) = (c4))) | ~ (((g @ (s @ c5) @ c1) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl9349, zip_derived_cl5803])). 870.59/112.65 thf(zip_derived_cl24032, plain, 870.59/112.65 ((((g @ c3 @ (s @ c5)) = (c3))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl12503])). 870.59/112.65 thf(zip_derived_cl1978, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c3 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c5)) 870.59/112.65 | ((g @ c3 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1947])). 870.59/112.65 thf(zip_derived_cl24036, plain, 870.59/112.65 (((((c3) = (c4)) 870.59/112.65 | ((g @ c3 @ c5) = (c4)) 870.59/112.65 | ((g @ c3 @ c5) = (c5)) 870.59/112.65 | ((g @ c3 @ c5) = (c3)) 870.59/112.65 | ((g @ c4 @ c5) = (c3)))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl24032, zip_derived_cl1978])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl24054, plain, 870.59/112.65 (((((g @ c3 @ c5) = (c4)) 870.59/112.65 | ((g @ c3 @ c5) = (c5)) 870.59/112.65 | ((g @ c3 @ c5) = (c3)) 870.59/112.65 | ((g @ c4 @ c5) = (c3)))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl24036, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl30433, plain, 870.59/112.65 ((((g @ c4 @ c5) = (c3))) <= ((((g @ c4 @ c5) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl24054])). 870.59/112.65 thf(zip_derived_cl4619, plain, 870.59/112.65 ((((g @ (s @ c5) @ c5) = (c2))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl4618])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl4623, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ c5 @ c5) = (c3)) 870.59/112.65 | ((g @ c5 @ c5) = (c5)) 870.59/112.65 | ((g @ c5 @ c5) = (c4)) 870.59/112.65 | ((g @ c5 @ c5) = (c2)))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4619, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl10206, plain, 870.59/112.65 (((((g @ c5 @ c5) = (c3)) 870.59/112.65 | ((g @ c5 @ c5) = (c5)) 870.59/112.65 | ((g @ c5 @ c5) = (c4)) 870.59/112.65 | ((g @ c5 @ c5) = (c2)))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl4623, zip_derived_cl5803])). 870.59/112.65 thf(zip_derived_cl10209, plain, 870.59/112.65 ((((g @ c5 @ c5) = (c3))) <= ((((g @ c5 @ c5) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10206])). 870.59/112.65 thf(zip_derived_cl85, plain, 870.59/112.65 (![X0 : $i]: (((g @ c5 @ X0) != (c3)) | ((g @ c4 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl10247, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c4 @ c5) = (c1)))) 870.59/112.65 <= ((((g @ c5 @ c5) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl10209, zip_derived_cl85])). 870.59/112.65 thf(zip_derived_cl10267, plain, 870.59/112.65 ((((g @ c4 @ c5) = (c1))) <= ((((g @ c5 @ c5) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl10247])). 870.59/112.65 thf(zip_derived_cl30439, plain, 870.59/112.65 ((((c3) = (c1))) <= ((((g @ c5 @ c5) = (c3))) & (((g @ c4 @ c5) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl30433, zip_derived_cl10267])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf('39', plain, (~ (((g @ c4 @ c5) = (c3))) | ~ (((g @ c5 @ c5) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl30439, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl4638, plain, 870.59/112.65 ((((g @ (s @ c5) @ (s @ c5)) = (c4))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4628])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl10344, plain, 870.59/112.65 (((((c4) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c2)))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4638, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl10355, plain, 870.59/112.65 (((((g @ c5 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c2)))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl10344, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl18513, plain, 870.59/112.65 ((((g @ c5 @ (s @ c5)) = (c4))) <= ((((g @ c5 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10355])). 870.59/112.65 thf(zip_derived_cl4638, plain, 870.59/112.65 ((((g @ (s @ c5) @ (s @ c5)) = (c4))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4628])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl10337, plain, 870.59/112.65 (((((c4) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c2)))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4638, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl10351, plain, 870.59/112.65 (((((g @ c5 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c2)))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl10337, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl18480, plain, 870.59/112.65 ((((g @ c5 @ (s @ c5)) = (c2))) <= ((((g @ c5 @ (s @ c5)) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10351])). 870.59/112.65 thf(zip_derived_cl18516, plain, 870.59/112.65 ((((c4) = (c2))) 870.59/112.65 <= ((((g @ c5 @ (s @ c5)) = (c2))) & (((g @ c5 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl18513, zip_derived_cl18480])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('40', plain, 870.59/112.65 (~ (((g @ c5 @ (s @ c5)) = (c4))) | ~ (((g @ c5 @ (s @ c5)) = (c2)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl18516, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl30433, plain, 870.59/112.65 ((((g @ c4 @ c5) = (c3))) <= ((((g @ c4 @ c5) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl24054])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl611, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c5 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c5)) 870.59/112.65 | ((g @ c4 @ X0) = (c4)) 870.59/112.65 | ((g @ c4 @ X0) = (c2)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2010, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((c2) != (c2)) 870.59/112.65 | ((g @ c4 @ X0) = (c4)) 870.59/112.65 | ((g @ c4 @ X0) = (c5)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c5 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ (s @ X0)) = (c4)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl611, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl2040, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c4 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c5 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c5)) 870.59/112.65 | ((g @ c4 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2010])). 870.59/112.65 thf(zip_derived_cl7581, plain, 870.59/112.65 ((((g @ c4 @ c5) = (c4)) 870.59/112.65 | ((g @ c4 @ c4) = (c4)) 870.59/112.65 | ((g @ c4 @ c4) = (c5)) 870.59/112.65 | ((g @ c4 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl2040])). 870.59/112.65 thf(zip_derived_cl14238, plain, 870.59/112.65 ((((g @ c4 @ c5) = (c4))) <= ((((g @ c4 @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7581])). 870.59/112.65 thf(zip_derived_cl30438, plain, 870.59/112.65 ((((c3) = (c4))) <= ((((g @ c4 @ c5) = (c4))) & (((g @ c4 @ c5) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl30433, zip_derived_cl14238])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf('41', plain, (~ (((g @ c4 @ c5) = (c3))) | ~ (((g @ c4 @ c5) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl30438, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl13580, plain, 870.59/112.65 ((((g @ c3 @ c4) = (c2))) <= ((((g @ c3 @ c5) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl13566])). 870.59/112.65 thf(zip_derived_cl12607, plain, 870.59/112.65 ((((g @ c3 @ c4) = (c3))) <= ((((g @ c3 @ c4) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6593])). 870.59/112.65 thf(zip_derived_cl15215, plain, 870.59/112.65 ((((c2) = (c3))) <= ((((g @ c3 @ c4) = (c3))) & (((g @ c3 @ c5) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl13580, zip_derived_cl12607])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf('42', plain, (~ (((g @ c3 @ c4) = (c3))) | ~ (((g @ c3 @ c5) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl15215, zip_derived_cl5803])). 870.59/112.65 thf(zip_derived_cl892, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c1))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl423])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl900, plain, 870.59/112.65 (((((c1) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl892, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl909, plain, 870.59/112.65 ((((g @ c8 @ c4) = (c3))) <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl908])). 870.59/112.65 thf(zip_derived_cl23, plain, (![X10 : $i]: ((g @ c8 @ X10) != (c1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1562, plain, 870.59/112.65 ((((c3) != (c1))) <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl909, zip_derived_cl23])). 870.59/112.65 thf(zip_derived_cl3020, plain, 870.59/112.65 (((((g @ (s @ c5) @ c4) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl900, zip_derived_cl1562])). 870.59/112.65 thf(zip_derived_cl3022, plain, 870.59/112.65 ((((g @ (s @ c5) @ c4) = (c4))) <= ((((g @ (s @ c5) @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl3020])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl3026, plain, 870.59/112.65 (((((c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c4) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl3022, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl8133, plain, 870.59/112.65 (((((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c4) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl3026, zip_derived_cl3704])). 870.59/112.65 thf('43', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c4) = (c4))) | (((g @ c5 @ c4) = (c2))) | 870.59/112.65 (((g @ c5 @ c4) = (c4))) | (((g @ c5 @ c4) = (c3))) | 870.59/112.65 (((g @ c5 @ c4) = (c5)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl8133])). 870.59/112.65 thf(zip_derived_cl892, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c1))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl423])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl894, plain, 870.59/112.65 (((((c1) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl892, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl1562, plain, 870.59/112.65 ((((c3) != (c1))) <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl909, zip_derived_cl23])). 870.59/112.65 thf(zip_derived_cl2767, plain, 870.59/112.65 (((((g @ (s @ c5) @ c4) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl894, zip_derived_cl1562])). 870.59/112.65 thf(zip_derived_cl2771, plain, 870.59/112.65 ((((g @ (s @ c5) @ c4) = (c5))) <= ((((g @ (s @ c5) @ c4) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2767])). 870.59/112.65 thf(zip_derived_cl25, plain, 870.59/112.65 (![X11 : $i, X13 : $i]: 870.59/112.65 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl7292, plain, 870.59/112.65 (((((c5) != (c5)) | (zip_tseitin_2 @ c4 @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c4) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2771, zip_derived_cl25])). 870.59/112.65 thf(zip_derived_cl7311, plain, 870.59/112.65 (( (zip_tseitin_2 @ c4 @ (s @ c5))) <= ((((g @ (s @ c5) @ c4) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl7292])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl8758, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c4 @ (s @ c5)) | (zip_tseitin_0 @ c4 @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c4) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7311, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl16199, plain, 870.59/112.65 (( (zip_tseitin_1 @ c4 @ (s @ c5))) 870.59/112.65 <= (( (zip_tseitin_1 @ c4 @ (s @ c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl8758])). 870.59/112.65 thf(zip_derived_cl4, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl16202, plain, 870.59/112.65 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ c4 @ (s @ c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl16199, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl49, plain, (((c4) != (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 870.59/112.65 zip_derived_cl18])). 870.59/112.65 thf('44', plain, (~ ( (zip_tseitin_1 @ c4 @ (s @ c5)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl16202, zip_derived_cl49])). 870.59/112.65 thf(zip_derived_cl7311, plain, 870.59/112.65 (( (zip_tseitin_2 @ c4 @ (s @ c5))) <= ((((g @ (s @ c5) @ c4) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl7292])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl8760, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c4 @ (s @ c5)) | (zip_tseitin_0 @ c4 @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c4) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7311, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl16292, plain, 870.59/112.65 (( (zip_tseitin_0 @ c4 @ (s @ c5))) 870.59/112.65 <= (( (zip_tseitin_0 @ c4 @ (s @ c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl8760])). 870.59/112.65 thf(zip_derived_cl0, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.65 thf(zip_derived_cl16295, plain, 870.59/112.65 ((((c4) = (c1))) <= (( (zip_tseitin_0 @ c4 @ (s @ c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl16292, zip_derived_cl0])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('45', plain, (~ ( (zip_tseitin_0 @ c4 @ (s @ c5)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl16295, zip_derived_cl2825])). 870.59/112.65 thf('46', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c4) = (c5))) | ( (zip_tseitin_0 @ c4 @ (s @ c5))) | 870.59/112.65 ( (zip_tseitin_1 @ c4 @ (s @ c5)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl8758])). 870.59/112.65 thf(zip_derived_cl6150, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c2)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl6119, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl1359, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c1))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl515])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1365, plain, 870.59/112.65 (((((c1) != (c2)) | ((g @ (s @ (s @ c5)) @ (s @ c3)) = (c4)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl1359, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1374, plain, 870.59/112.65 (((((c1) != (c2)) | ((g @ (s @ (s @ c5)) @ c4) = (c4)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl1365, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl4416, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1374])). 870.59/112.65 thf(zip_derived_cl98, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c4) != (c4)) | ((g @ X0 @ c3) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl4422, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ (s @ (s @ c5)) @ c3) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl4416, zip_derived_cl98])). 870.59/112.65 thf(zip_derived_cl4440, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4422])). 870.59/112.65 thf(zip_derived_cl11955, plain, 870.59/112.65 (((((c3) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c3)) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c3)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c3)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c3)) = (c3)) 870.59/112.65 | ((g @ c8 @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c4)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl6150, zip_derived_cl4440])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl12041, plain, 870.59/112.65 (((((c3) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c3)) 870.59/112.65 | ((g @ c8 @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c4)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl11955, zip_derived_cl18, zip_derived_cl18, 870.59/112.65 zip_derived_cl18, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl12042, plain, 870.59/112.65 (((((g @ (s @ c5) @ c4) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c3)) 870.59/112.65 | ((g @ c8 @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c4)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl12041, zip_derived_cl5803])). 870.59/112.65 thf('47', plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c5))) | 870.59/112.65 (((g @ (s @ (s @ c5)) @ c3) = (c4))) | (((g @ c8 @ c3) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ c4) = (c5))) | (((g @ (s @ c5) @ c4) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ c4) = (c4))) | (((g @ (s @ c5) @ c4) = (c2))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ c4) = (c4)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl12042])). 870.59/112.65 thf('48', plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c4))) | 870.59/112.65 (((g @ (s @ (s @ c5)) @ c3) = (c3))) | 870.59/112.65 (((g @ (s @ (s @ c5)) @ c3) = (c5))) | (((g @ c8 @ c3) = (c3))) | 870.59/112.65 (((g @ (s @ (s @ c5)) @ c3) = (c4)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6130])). 870.59/112.65 thf(zip_derived_cl11506, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c5))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6130])). 870.59/112.65 thf(zip_derived_cl25, plain, 870.59/112.65 (![X11 : $i, X13 : $i]: 870.59/112.65 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl22344, plain, 870.59/112.65 (((((c5) != (c5)) | (zip_tseitin_2 @ c3 @ (s @ (s @ c5))))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl11506, zip_derived_cl25])). 870.59/112.65 thf(zip_derived_cl22376, plain, 870.59/112.65 (( (zip_tseitin_2 @ c3 @ (s @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl22344])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl28789, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c3 @ (s @ (s @ c5))) 870.59/112.65 | (zip_tseitin_0 @ c3 @ (s @ (s @ c5))))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl22376, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl35863, plain, 870.59/112.65 (( (zip_tseitin_0 @ c3 @ (s @ (s @ c5)))) 870.59/112.65 <= (( (zip_tseitin_0 @ c3 @ (s @ (s @ c5)))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl28789])). 870.59/112.65 thf(zip_derived_cl0, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.65 thf(zip_derived_cl35866, plain, 870.59/112.65 ((((c3) = (c1))) <= (( (zip_tseitin_0 @ c3 @ (s @ (s @ c5)))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl35863, zip_derived_cl0])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf('49', plain, (~ ( (zip_tseitin_0 @ c3 @ (s @ (s @ c5))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl35866, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl22376, plain, 870.59/112.65 (( (zip_tseitin_2 @ c3 @ (s @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl22344])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl28787, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c3 @ (s @ (s @ c5))) 870.59/112.65 | (zip_tseitin_0 @ c3 @ (s @ (s @ c5))))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl22376, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl35854, plain, 870.59/112.65 (( (zip_tseitin_1 @ c3 @ (s @ (s @ c5)))) 870.59/112.65 <= (( (zip_tseitin_1 @ c3 @ (s @ (s @ c5)))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl28787])). 870.59/112.65 thf(zip_derived_cl4, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl35857, plain, 870.59/112.65 ((((c3) = (c8))) <= (( (zip_tseitin_1 @ c3 @ (s @ (s @ c5)))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl35854, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl35940, plain, 870.59/112.65 ((((c1) = (s @ c3))) <= (( (zip_tseitin_1 @ c3 @ (s @ (s @ c5)))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl35857, zip_derived_cl14])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl35949, plain, 870.59/112.65 ((((c1) = (c4))) <= (( (zip_tseitin_1 @ c3 @ (s @ (s @ c5)))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl35940, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('50', plain, (~ ( (zip_tseitin_1 @ c3 @ (s @ (s @ c5))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl35949, zip_derived_cl2825])). 870.59/112.65 thf('51', plain, 870.59/112.65 (~ (((g @ (s @ (s @ c5)) @ c3) = (c5))) | 870.59/112.65 ( (zip_tseitin_1 @ c3 @ (s @ (s @ c5)))) | 870.59/112.65 ( (zip_tseitin_0 @ c3 @ (s @ (s @ c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl28787])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1820, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ (s @ c5)) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1771])). 870.59/112.65 thf(zip_derived_cl6144, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c3)) 870.59/112.65 | ((g @ c8 @ c3) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1820])). 870.59/112.65 thf(zip_derived_cl11674, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c3))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6144])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl11683, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ (s @ c5) @ c3) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl11674, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl11707, plain, 870.59/112.65 ((((g @ (s @ c5) @ c3) = (c1))) <= ((((g @ (s @ (s @ c5)) @ c3) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11683])). 870.59/112.65 thf(zip_derived_cl4162, plain, 870.59/112.65 ((((g @ (s @ c5) @ c3) = (c2))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1361])). 870.59/112.65 thf(zip_derived_cl23382, plain, 870.59/112.65 ((((c1) = (c2))) 870.59/112.65 <= ((((g @ (s @ c5) @ c3) = (c2))) & 870.59/112.65 (((g @ (s @ (s @ c5)) @ c3) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl11707, zip_derived_cl4162])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('52', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c3) = (c2))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ c3) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl23382, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl3554, plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c3))) <= ((((g @ (s @ c5) @ c2) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1125])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl8768, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c5 @ c2) = (c1)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c2) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl3554, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl8790, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c1))) <= ((((g @ (s @ c5) @ c2) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl8768])). 870.59/112.65 thf(zip_derived_cl2135, plain, 870.59/112.65 ((((g @ c4 @ c2) = (c2))) <= ((((g @ c4 @ c2) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2084])). 870.59/112.65 thf(zip_derived_cl11, plain, 870.59/112.65 (![X0 : $i, X2 : $i]: 870.59/112.65 (((g @ (s @ X0) @ X2) = (c3)) | ((g @ X0 @ X2) != (c1)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2142, plain, 870.59/112.65 (((((c2) != (c1)) | ((g @ (s @ c4) @ c2) = (c3)))) 870.59/112.65 <= ((((g @ c4 @ c2) = (c2))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2135, zip_derived_cl11])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2154, plain, 870.59/112.65 (((((c2) != (c1)) | ((g @ c5 @ c2) = (c3)))) 870.59/112.65 <= ((((g @ c4 @ c2) = (c2))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl2142, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl2544, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c3))) <= ((((g @ c5 @ c2) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2154])). 870.59/112.65 thf(zip_derived_cl9305, plain, 870.59/112.65 ((((c1) = (c3))) 870.59/112.65 <= ((((g @ c5 @ c2) = (c3))) & (((g @ (s @ c5) @ c2) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl8790, zip_derived_cl2544])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf('53', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c2) = (c3))) | ~ (((g @ c5 @ c2) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl9305, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl2544, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c3))) <= ((((g @ c5 @ c2) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2154])). 870.59/112.65 thf(zip_derived_cl2109, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c4))) <= ((((g @ c5 @ c2) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2070])). 870.59/112.65 thf(zip_derived_cl2546, plain, 870.59/112.65 ((((c3) = (c4))) <= ((((g @ c5 @ c2) = (c4))) & (((g @ c5 @ c2) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2544, zip_derived_cl2109])). 870.59/112.65 thf(zip_derived_cl893, plain, ((((c4) != (c3))) <= (~ (((c4) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl423])). 870.59/112.65 thf(zip_derived_cl2730, plain, 870.59/112.65 ((((c4) != (c4))) 870.59/112.65 <= (~ (((c4) = (c3))) & 870.59/112.65 (((g @ c5 @ c2) = (c4))) & 870.59/112.65 (((g @ c5 @ c2) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2546, zip_derived_cl893])). 870.59/112.65 thf('54', plain, 870.59/112.65 (~ (((g @ c5 @ c2) = (c4))) | ~ (((g @ c5 @ c2) = (c3))) | 870.59/112.65 (((c4) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2730])). 870.59/112.65 thf(zip_derived_cl892, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c1))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl423])). 870.59/112.65 thf(zip_derived_cl98, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c4) != (c4)) | ((g @ X0 @ c3) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl896, plain, 870.59/112.65 (((((c1) != (c4)) | ((g @ (s @ (s @ c5)) @ c3) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl892, zip_derived_cl98])). 870.59/112.65 thf(zip_derived_cl2796, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl896])). 870.59/112.65 thf(zip_derived_cl11, plain, 870.59/112.65 (![X0 : $i, X2 : $i]: 870.59/112.65 (((g @ (s @ X0) @ X2) = (c3)) | ((g @ X0 @ X2) != (c1)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2806, plain, 870.59/112.65 (((((c2) != (c1)) | ((g @ (s @ (s @ (s @ c5))) @ c3) = (c3)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c2))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2796, zip_derived_cl11])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl2818, plain, 870.59/112.65 (((((c2) != (c1)) | ((g @ c8 @ c3) = (c3)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c2))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl2806, zip_derived_cl32])). 870.59/112.65 thf(zip_derived_cl3891, plain, 870.59/112.65 ((((g @ c8 @ c3) = (c3))) <= ((((g @ c8 @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2818])). 870.59/112.65 thf(zip_derived_cl403, plain, 870.59/112.65 ((((g @ c8 @ c3) = (c4))) <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl348])). 870.59/112.65 thf(zip_derived_cl3894, plain, 870.59/112.65 ((((c3) = (c4))) <= ((((g @ c8 @ c3) = (c4))) & (((g @ c8 @ c3) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl3891, zip_derived_cl403])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf('55', plain, (~ (((g @ c8 @ c3) = (c4))) | ~ (((g @ c8 @ c3) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl3894, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl158, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ X0) = (c2)) 870.59/112.65 | ((g @ c8 @ X0) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl128])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl267, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((c2) != (c2)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ c8 @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c4)) 870.59/112.65 | ((g @ c8 @ (s @ X0)) = (c4)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl304, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl267])). 870.59/112.65 thf(zip_derived_cl1520, plain, 870.59/112.65 ((((g @ c8 @ c8) = (c4)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c4)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl304])). 870.59/112.65 thf(zip_derived_cl74, plain, (((g @ c8 @ c8) = (c5))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl24])). 870.59/112.65 thf(zip_derived_cl1546, plain, 870.59/112.65 ((((c5) = (c4)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c4)))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl1520, zip_derived_cl74])). 870.59/112.65 thf(zip_derived_cl187, plain, (((c5) != (c4))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl20])). 870.59/112.65 thf(zip_derived_cl1547, plain, 870.59/112.65 ((((g @ c8 @ (s @ (s @ c5))) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl1546, zip_derived_cl187])). 870.59/112.65 thf(zip_derived_cl5433, plain, 870.59/112.65 ((((g @ c8 @ (s @ (s @ c5))) = (c3))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1547])). 870.59/112.65 thf(zip_derived_cl81, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ X0) != (c3)) | ((g @ (s @ (s @ c5)) @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl5438, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ (s @ (s @ c5)) @ (s @ (s @ c5))) = (c1)))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl5433, zip_derived_cl81])). 870.59/112.65 thf(zip_derived_cl5457, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ (s @ (s @ c5))) = (c1))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl5438])). 870.59/112.65 thf(zip_derived_cl1820, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ (s @ c5)) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1771])). 870.59/112.65 thf(zip_derived_cl10951, plain, 870.59/112.65 (((((c1) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c3)))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5457, zip_derived_cl1820])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf(zip_derived_cl10967, plain, 870.59/112.65 (((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c3)))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl10951, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl19141, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10967])). 870.59/112.65 thf(zip_derived_cl5433, plain, 870.59/112.65 ((((g @ c8 @ (s @ (s @ c5))) = (c3))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1547])). 870.59/112.65 thf(zip_derived_cl304, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl267])). 870.59/112.65 thf(zip_derived_cl5435, plain, 870.59/112.65 (((((c3) = (c4)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c4)))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5433, zip_derived_cl304])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl5455, plain, 870.59/112.65 (((((g @ c8 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c4)))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl5435, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl10909, plain, 870.59/112.65 ((((g @ c8 @ (s @ c5)) = (c3))) <= ((((g @ c8 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl5455])). 870.59/112.65 thf(zip_derived_cl81, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ X0) != (c3)) | ((g @ (s @ (s @ c5)) @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl10915, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c1)))) 870.59/112.65 <= ((((g @ c8 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl10909, zip_derived_cl81])). 870.59/112.65 thf(zip_derived_cl10937, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c1))) 870.59/112.65 <= ((((g @ c8 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl10915])). 870.59/112.65 thf(zip_derived_cl19145, plain, 870.59/112.65 ((((c3) = (c1))) 870.59/112.65 <= ((((g @ c8 @ (s @ c5)) = (c3))) & 870.59/112.65 (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl19141, zip_derived_cl10937])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf('56', plain, 870.59/112.65 (~ (((g @ c8 @ (s @ c5)) = (c3))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl19145, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl2214, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c1 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c1 @ X0) = (c5)) 870.59/112.65 | ((g @ c1 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2174])). 870.59/112.65 thf(zip_derived_cl7902, plain, 870.59/112.65 ((((g @ c1 @ c8) = (c4)) 870.59/112.65 | ((g @ c1 @ (s @ (s @ c5))) = (c4)) 870.59/112.65 | ((g @ c1 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c2 @ (s @ (s @ c5))) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl2214])). 870.59/112.65 thf(zip_derived_cl14721, plain, 870.59/112.65 ((((g @ c1 @ (s @ (s @ c5))) = (c4))) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7902])). 870.59/112.65 thf(zip_derived_cl12, plain, 870.59/112.65 (![X3 : $i, X4 : $i]: 870.59/112.65 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl14727, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c1 @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl14721, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl14740, plain, 870.59/112.65 ((((g @ c1 @ (s @ c5)) = (c2))) <= ((((g @ c1 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl14727])). 870.59/112.65 thf(zip_derived_cl2214, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c1 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c1 @ X0) = (c5)) 870.59/112.65 | ((g @ c1 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2174])). 870.59/112.65 thf(zip_derived_cl25668, plain, 870.59/112.65 (((((c2) = (c4)) 870.59/112.65 | ((g @ c1 @ c5) = (c4)) 870.59/112.65 | ((g @ c1 @ c5) = (c5)) 870.59/112.65 | ((g @ c2 @ c5) = (c3)))) <= ((((g @ c1 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl14740, zip_derived_cl2214])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf(zip_derived_cl25682, plain, 870.59/112.65 (((((g @ c1 @ c5) = (c4)) 870.59/112.65 | ((g @ c1 @ c5) = (c5)) 870.59/112.65 | ((g @ c2 @ c5) = (c3)))) <= ((((g @ c1 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl25668, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl31153, plain, 870.59/112.65 ((((g @ c1 @ c5) = (c5))) <= ((((g @ c1 @ c5) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl25682])). 870.59/112.65 thf(zip_derived_cl25, plain, 870.59/112.65 (![X11 : $i, X13 : $i]: 870.59/112.65 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl31160, plain, 870.59/112.65 (((((c5) != (c5)) | (zip_tseitin_2 @ c5 @ c1))) 870.59/112.65 <= ((((g @ c1 @ c5) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl31153, zip_derived_cl25])). 870.59/112.65 thf(zip_derived_cl31180, plain, 870.59/112.65 (( (zip_tseitin_2 @ c5 @ c1)) <= ((((g @ c1 @ c5) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl31160])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl31195, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c5 @ c1) | (zip_tseitin_0 @ c5 @ c1))) 870.59/112.65 <= ((((g @ c1 @ c5) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl31180, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl39453, plain, 870.59/112.65 (( (zip_tseitin_0 @ c5 @ c1)) <= (( (zip_tseitin_0 @ c5 @ c1)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl31195])). 870.59/112.65 thf(zip_derived_cl0, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.65 thf(zip_derived_cl39457, plain, 870.59/112.65 ((((c5) = (c1))) <= (( (zip_tseitin_0 @ c5 @ c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl39453, zip_derived_cl0])). 870.59/112.65 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl26, plain, 870.59/112.65 (![X14 : $i]: ((s @ (s @ (s @ (s @ X14)))) != (X14))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl35, plain, (((s @ (s @ (s @ c2))) != (c1))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl26])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl51, plain, (((c5) != (c1))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl35, zip_derived_cl19, zip_derived_cl18, 870.59/112.65 zip_derived_cl17])). 870.59/112.65 thf('57', plain, (~ ( (zip_tseitin_0 @ c5 @ c1))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl39457, zip_derived_cl51])). 870.59/112.65 thf(zip_derived_cl31180, plain, 870.59/112.65 (( (zip_tseitin_2 @ c5 @ c1)) <= ((((g @ c1 @ c5) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl31160])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl31197, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c5 @ c1) | (zip_tseitin_0 @ c5 @ c1))) 870.59/112.65 <= ((((g @ c1 @ c5) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl31180, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl39464, plain, 870.59/112.65 (( (zip_tseitin_1 @ c5 @ c1)) <= (( (zip_tseitin_1 @ c5 @ c1)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl31197])). 870.59/112.65 thf(zip_derived_cl3, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl39467, plain, 870.59/112.65 ((((c1) = (c8))) <= (( (zip_tseitin_1 @ c5 @ c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl39464, zip_derived_cl3])). 870.59/112.65 thf(zip_derived_cl39464, plain, 870.59/112.65 (( (zip_tseitin_1 @ c5 @ c1)) <= (( (zip_tseitin_1 @ c5 @ c1)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl31197])). 870.59/112.65 thf(zip_derived_cl4, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl39466, plain, 870.59/112.65 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ c5 @ c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl39464, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl39703, plain, 870.59/112.65 ((((c1) = (c5))) <= (( (zip_tseitin_1 @ c5 @ c1)))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl39467, zip_derived_cl39466])). 870.59/112.65 thf(zip_derived_cl51, plain, (((c5) != (c1))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl35, zip_derived_cl19, zip_derived_cl18, 870.59/112.65 zip_derived_cl17])). 870.59/112.65 thf('58', plain, (~ ( (zip_tseitin_1 @ c5 @ c1))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl39703, zip_derived_cl51])). 870.59/112.65 thf('59', plain, 870.59/112.65 (~ (((g @ c1 @ c5) = (c5))) | ( (zip_tseitin_1 @ c5 @ c1)) | 870.59/112.65 ( (zip_tseitin_0 @ c5 @ c1))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl31195])). 870.59/112.65 thf('60', plain, 870.59/112.65 (~ (((g @ c1 @ (s @ (s @ c5))) = (c4))) | (((g @ c2 @ c5) = (c3))) | 870.59/112.65 (((g @ c1 @ c5) = (c4))) | (((g @ c1 @ c5) = (c5)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl25682])). 870.59/112.65 thf(zip_derived_cl30498, plain, 870.59/112.65 ((((g @ c2 @ c5) = (c1))) <= ((((g @ c3 @ c5) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl30480])). 870.59/112.65 thf(zip_derived_cl12611, plain, 870.59/112.65 ((((g @ c2 @ c5) = (c4))) <= ((((g @ c2 @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6593])). 870.59/112.65 thf(zip_derived_cl30810, plain, 870.59/112.65 ((((c1) = (c4))) <= ((((g @ c2 @ c5) = (c4))) & (((g @ c3 @ c5) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl30498, zip_derived_cl12611])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('61', plain, (~ (((g @ c3 @ c5) = (c3))) | ~ (((g @ c2 @ c5) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl30810, zip_derived_cl2825])). 870.59/112.65 thf('62', plain, 870.59/112.65 ((((g @ c1 @ (s @ (s @ c5))) = (c4))) | (((g @ c1 @ c8) = (c4))) | 870.59/112.65 (((g @ c1 @ (s @ (s @ c5))) = (c5))) | 870.59/112.65 (((g @ c2 @ (s @ (s @ c5))) = (c3)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7902])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl2214, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c1 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c1 @ X0) = (c5)) 870.59/112.65 | ((g @ c1 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2174])). 870.59/112.65 thf(zip_derived_cl7915, plain, 870.59/112.65 ((((g @ c1 @ c8) = (c4)) 870.59/112.65 | ((g @ c1 @ (s @ (s @ c5))) = (c4)) 870.59/112.65 | ((g @ c1 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c2 @ (s @ (s @ c5))) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl2214])). 870.59/112.65 thf(zip_derived_cl14864, plain, 870.59/112.65 ((((g @ c1 @ (s @ (s @ c5))) = (c5))) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7915])). 870.59/112.65 thf(zip_derived_cl25, plain, 870.59/112.65 (![X11 : $i, X13 : $i]: 870.59/112.65 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl14872, plain, 870.59/112.65 (((((c5) != (c5)) | (zip_tseitin_2 @ (s @ (s @ c5)) @ c1))) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl14864, zip_derived_cl25])). 870.59/112.65 thf(zip_derived_cl14889, plain, 870.59/112.65 (( (zip_tseitin_2 @ (s @ (s @ c5)) @ c1)) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl14872])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl25740, plain, 870.59/112.65 ((( (zip_tseitin_1 @ (s @ (s @ c5)) @ c1) 870.59/112.65 | (zip_tseitin_0 @ (s @ (s @ c5)) @ c1))) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl14889, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl31221, plain, 870.59/112.65 (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c1)) 870.59/112.65 <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c1)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl25740])). 870.59/112.65 thf(zip_derived_cl3, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl31225, plain, 870.59/112.65 ((((c1) = (c8))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl31221, zip_derived_cl3])). 870.59/112.65 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl31289, plain, 870.59/112.65 ((((c1) = (s @ c1))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c1)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl31225, zip_derived_cl14])). 870.59/112.65 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl31329, plain, 870.59/112.65 ((((c1) = (c2))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c1)))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl31289, zip_derived_cl15])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('63', plain, (~ ( (zip_tseitin_1 @ (s @ (s @ c5)) @ c1))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl31329, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl14889, plain, 870.59/112.65 (( (zip_tseitin_2 @ (s @ (s @ c5)) @ c1)) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl14872])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl25742, plain, 870.59/112.65 ((( (zip_tseitin_1 @ (s @ (s @ c5)) @ c1) 870.59/112.65 | (zip_tseitin_0 @ (s @ (s @ c5)) @ c1))) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl14889, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl31332, plain, 870.59/112.65 (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c1)) 870.59/112.65 <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c1)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl25742])). 870.59/112.65 thf(zip_derived_cl0, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.65 thf(zip_derived_cl31335, plain, 870.59/112.65 ((((s @ (s @ c5)) = (c1))) <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl31332, zip_derived_cl0])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl31442, plain, 870.59/112.65 ((((s @ c1) = (c8))) <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c1)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl31335, zip_derived_cl32])). 870.59/112.65 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl31625, plain, 870.59/112.65 ((((c2) = (c8))) <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c1)))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl31442, zip_derived_cl15])). 870.59/112.65 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl31768, plain, 870.59/112.65 ((((c1) = (s @ c2))) <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c1)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl31625, zip_derived_cl14])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl31785, plain, 870.59/112.65 ((((c1) = (c3))) <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c1)))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl31768, zip_derived_cl19])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf('64', plain, (~ ( (zip_tseitin_0 @ (s @ (s @ c5)) @ c1))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl31785, zip_derived_cl4494])). 870.59/112.65 thf('65', plain, 870.59/112.65 (~ (((g @ c1 @ (s @ (s @ c5))) = (c5))) | 870.59/112.65 ( (zip_tseitin_0 @ (s @ (s @ c5)) @ c1)) | 870.59/112.65 ( (zip_tseitin_1 @ (s @ (s @ c5)) @ c1))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl25740])). 870.59/112.65 thf(zip_derived_cl14864, plain, 870.59/112.65 ((((g @ c1 @ (s @ (s @ c5))) = (c5))) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7915])). 870.59/112.65 thf(zip_derived_cl2214, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c1 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c1 @ X0) = (c5)) 870.59/112.65 | ((g @ c1 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2174])). 870.59/112.65 thf(zip_derived_cl14868, plain, 870.59/112.65 (((((c5) = (c4)) 870.59/112.65 | ((g @ c1 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c1 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c2 @ (s @ c5)) = (c3)))) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl14864, zip_derived_cl2214])). 870.59/112.65 thf(zip_derived_cl187, plain, (((c5) != (c4))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl20])). 870.59/112.65 thf(zip_derived_cl14886, plain, 870.59/112.65 (((((g @ c1 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c1 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c2 @ (s @ c5)) = (c3)))) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl14868, zip_derived_cl187])). 870.59/112.65 thf(zip_derived_cl25709, plain, 870.59/112.65 ((((g @ c1 @ (s @ c5)) = (c4))) <= ((((g @ c1 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl14886])). 870.59/112.65 thf(zip_derived_cl14740, plain, 870.59/112.65 ((((g @ c1 @ (s @ c5)) = (c2))) <= ((((g @ c1 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl14727])). 870.59/112.65 thf(zip_derived_cl25711, plain, 870.59/112.65 ((((c4) = (c2))) 870.59/112.65 <= ((((g @ c1 @ (s @ (s @ c5))) = (c4))) & 870.59/112.65 (((g @ c1 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl25709, zip_derived_cl14740])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('66', plain, 870.59/112.65 (~ (((g @ c1 @ (s @ c5)) = (c4))) | 870.59/112.65 ~ (((g @ c1 @ (s @ (s @ c5))) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl25711, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl13580, plain, 870.59/112.65 ((((g @ c3 @ c4) = (c2))) <= ((((g @ c3 @ c5) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl13566])). 870.59/112.65 thf(zip_derived_cl2519, plain, 870.59/112.65 ((((g @ c3 @ c3) = (c1))) <= ((((g @ c3 @ c3) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2149])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2525, plain, 870.59/112.65 (((((c1) != (c2)) | ((g @ c3 @ (s @ c3)) = (c4)))) 870.59/112.65 <= ((((g @ c3 @ c3) = (c1))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2519, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2534, plain, 870.59/112.65 (((((c1) != (c2)) | ((g @ c3 @ c4) = (c4)))) 870.59/112.65 <= ((((g @ c3 @ c3) = (c1))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl2525, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl3303, plain, 870.59/112.65 ((((g @ c3 @ c4) = (c4))) <= ((((g @ c3 @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2534])). 870.59/112.65 thf(zip_derived_cl15216, plain, 870.59/112.65 ((((c2) = (c4))) <= ((((g @ c3 @ c4) = (c4))) & (((g @ c3 @ c5) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl13580, zip_derived_cl3303])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('67', plain, (~ (((g @ c3 @ c4) = (c4))) | ~ (((g @ c3 @ c5) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl15216, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl30519, plain, 870.59/112.65 ((((g @ c2 @ c5) = (c3))) <= ((((g @ c2 @ c5) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl24217])). 870.59/112.65 thf(zip_derived_cl12611, plain, 870.59/112.65 ((((g @ c2 @ c5) = (c4))) <= ((((g @ c2 @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6593])). 870.59/112.65 thf(zip_derived_cl30522, plain, 870.59/112.65 ((((c3) = (c4))) <= ((((g @ c2 @ c5) = (c4))) & (((g @ c2 @ c5) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl30519, zip_derived_cl12611])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf('68', plain, (~ (((g @ c2 @ c5) = (c3))) | ~ (((g @ c2 @ c5) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl30522, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl610, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c5)) 870.59/112.65 | ((g @ c3 @ X0) = (c4)) 870.59/112.65 | ((g @ c3 @ X0) = (c2)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1938, plain, 870.59/112.65 ((((c2) != (c2)) 870.59/112.65 | ((g @ c3 @ c8) = (c4)) 870.59/112.65 | ((g @ c3 @ c8) = (c5)) 870.59/112.65 | ((g @ c3 @ c8) = (c3)) 870.59/112.65 | ((g @ c4 @ c8) = (c3)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl610, zip_derived_cl21])). 870.59/112.65 thf(zip_derived_cl1970, plain, 870.59/112.65 ((((g @ c4 @ c8) = (c3)) 870.59/112.65 | ((g @ c3 @ c8) = (c3)) 870.59/112.65 | ((g @ c3 @ c8) = (c5)) 870.59/112.65 | ((g @ c3 @ c8) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1938])). 870.59/112.65 thf(zip_derived_cl7021, plain, 870.59/112.65 ((((g @ c4 @ c8) = (c3))) <= ((((g @ c4 @ c8) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1970])). 870.59/112.65 thf(zip_derived_cl84, plain, 870.59/112.65 (![X0 : $i]: (((g @ c4 @ X0) != (c3)) | ((g @ c3 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl7026, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c3 @ c8) = (c1)))) 870.59/112.65 <= ((((g @ c4 @ c8) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7021, zip_derived_cl84])). 870.59/112.65 thf(zip_derived_cl7042, plain, 870.59/112.65 ((((g @ c3 @ c8) = (c1))) <= ((((g @ c4 @ c8) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl7026])). 870.59/112.65 thf(zip_derived_cl609, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c5)) 870.59/112.65 | ((g @ c2 @ X0) = (c4)) 870.59/112.65 | ((g @ c2 @ X0) = (c2)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1864, plain, 870.59/112.65 ((((c2) != (c2)) 870.59/112.65 | ((g @ c2 @ c8) = (c4)) 870.59/112.65 | ((g @ c2 @ c8) = (c5)) 870.59/112.65 | ((g @ c2 @ c8) = (c3)) 870.59/112.65 | ((g @ c3 @ c8) = (c3)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl609, zip_derived_cl21])). 870.59/112.65 thf(zip_derived_cl1901, plain, 870.59/112.65 ((((g @ c3 @ c8) = (c3)) 870.59/112.65 | ((g @ c2 @ c8) = (c3)) 870.59/112.65 | ((g @ c2 @ c8) = (c5)) 870.59/112.65 | ((g @ c2 @ c8) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1864])). 870.59/112.65 thf(zip_derived_cl6496, plain, 870.59/112.65 ((((g @ c3 @ c8) = (c3))) <= ((((g @ c3 @ c8) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1901])). 870.59/112.65 thf(zip_derived_cl9233, plain, 870.59/112.65 ((((c1) = (c3))) <= ((((g @ c3 @ c8) = (c3))) & (((g @ c4 @ c8) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl7042, zip_derived_cl6496])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf('69', plain, (~ (((g @ c3 @ c8) = (c3))) | ~ (((g @ c4 @ c8) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl9233, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1911, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c2 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c5)) 870.59/112.65 | ((g @ c2 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1873])). 870.59/112.65 thf(zip_derived_cl6605, plain, 870.59/112.65 ((((g @ c2 @ c4) = (c4)) 870.59/112.65 | ((g @ c2 @ c3) = (c4)) 870.59/112.65 | ((g @ c2 @ c3) = (c5)) 870.59/112.65 | ((g @ c2 @ c3) = (c3)) 870.59/112.65 | ((g @ c3 @ c3) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1911])). 870.59/112.65 thf(zip_derived_cl12732, plain, 870.59/112.65 ((((g @ c2 @ c4) = (c4))) <= ((((g @ c2 @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6605])). 870.59/112.65 thf(zip_derived_cl98, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c4) != (c4)) | ((g @ X0 @ c3) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl12735, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c2 @ c3) = (c2)))) 870.59/112.65 <= ((((g @ c2 @ c4) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl12732, zip_derived_cl98])). 870.59/112.65 thf(zip_derived_cl12743, plain, 870.59/112.65 ((((g @ c2 @ c3) = (c2))) <= ((((g @ c2 @ c4) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl12735])). 870.59/112.65 thf(zip_derived_cl6631, plain, 870.59/112.65 ((((g @ c3 @ c3) = (c3))) <= ((((g @ c3 @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2521])). 870.59/112.65 thf(zip_derived_cl83, plain, 870.59/112.65 (![X0 : $i]: (((g @ c3 @ X0) != (c3)) | ((g @ c2 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl6638, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c2 @ c3) = (c1)))) 870.59/112.65 <= ((((g @ c3 @ c3) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl6631, zip_derived_cl83])). 870.59/112.65 thf(zip_derived_cl6658, plain, 870.59/112.65 ((((g @ c2 @ c3) = (c1))) <= ((((g @ c3 @ c3) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl6638])). 870.59/112.65 thf(zip_derived_cl13826, plain, 870.59/112.65 ((((c2) = (c1))) <= ((((g @ c3 @ c3) = (c3))) & (((g @ c2 @ c4) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl12743, zip_derived_cl6658])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('70', plain, (~ (((g @ c3 @ c3) = (c3))) | ~ (((g @ c2 @ c4) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl13826, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl10407, plain, 870.59/112.65 ((((g @ (s @ c5) @ (s @ c5)) = (c2))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl4765])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl10412, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl10407, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl10428, plain, 870.59/112.65 (((((g @ c5 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c5 @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ (s @ c5) @ (s @ c5)) = (c2))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl10412, zip_derived_cl5803])). 870.59/112.65 thf(zip_derived_cl18554, plain, 870.59/112.65 ((((g @ c5 @ (s @ c5)) = (c3))) <= ((((g @ c5 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10428])). 870.59/112.65 thf(zip_derived_cl85, plain, 870.59/112.65 (![X0 : $i]: (((g @ c5 @ X0) != (c3)) | ((g @ c4 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl18560, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c4 @ (s @ c5)) = (c1)))) 870.59/112.65 <= ((((g @ c5 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18554, zip_derived_cl85])). 870.59/112.65 thf(zip_derived_cl18580, plain, 870.59/112.65 ((((g @ c4 @ (s @ c5)) = (c1))) <= ((((g @ c5 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl18560])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl2040, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c4 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c5 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c5)) 870.59/112.65 | ((g @ c4 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2010])). 870.59/112.65 thf(zip_derived_cl7590, plain, 870.59/112.65 ((((g @ c4 @ c8) = (c4)) 870.59/112.65 | ((g @ c4 @ (s @ (s @ c5))) = (c4)) 870.59/112.65 | ((g @ c4 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c4 @ (s @ (s @ c5))) = (c3)) 870.59/112.65 | ((g @ c5 @ (s @ (s @ c5))) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl2040])). 870.59/112.65 thf(zip_derived_cl14284, plain, 870.59/112.65 ((((g @ c4 @ (s @ (s @ c5))) = (c4))) 870.59/112.65 <= ((((g @ c4 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7590])). 870.59/112.65 thf(zip_derived_cl12, plain, 870.59/112.65 (![X3 : $i, X4 : $i]: 870.59/112.65 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl14290, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c4 @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ c4 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl14284, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl14305, plain, 870.59/112.65 ((((g @ c4 @ (s @ c5)) = (c2))) <= ((((g @ c4 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl14290])). 870.59/112.65 thf(zip_derived_cl27962, plain, 870.59/112.65 ((((c1) = (c2))) 870.59/112.65 <= ((((g @ c4 @ (s @ (s @ c5))) = (c4))) & 870.59/112.65 (((g @ c5 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl18580, zip_derived_cl14305])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('71', plain, 870.59/112.65 (~ (((g @ c4 @ (s @ (s @ c5))) = (c4))) | 870.59/112.65 ~ (((g @ c5 @ (s @ c5)) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl27962, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl2080, plain, 870.59/112.65 ((((g @ c4 @ c3) = (c3))) <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2068])). 870.59/112.65 thf(zip_derived_cl11, plain, 870.59/112.65 (![X0 : $i, X2 : $i]: 870.59/112.65 (((g @ (s @ X0) @ X2) = (c3)) | ((g @ X0 @ X2) != (c1)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2088, plain, 870.59/112.65 (((((c3) != (c1)) | ((g @ (s @ c4) @ c3) = (c3)))) 870.59/112.65 <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2080, zip_derived_cl11])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2101, plain, 870.59/112.65 (((((c3) != (c1)) | ((g @ c5 @ c3) = (c3)))) 870.59/112.65 <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl2088, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl2279, plain, 870.59/112.65 ((((g @ c5 @ c3) = (c3))) <= ((((g @ c5 @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2101])). 870.59/112.65 thf(zip_derived_cl85, plain, 870.59/112.65 (![X0 : $i]: (((g @ c5 @ X0) != (c3)) | ((g @ c4 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl2281, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c4 @ c3) = (c1)))) 870.59/112.65 <= ((((g @ c5 @ c3) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2279, zip_derived_cl85])). 870.59/112.65 thf(zip_derived_cl2293, plain, 870.59/112.65 ((((g @ c4 @ c3) = (c1))) <= ((((g @ c5 @ c3) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2281])). 870.59/112.65 thf(zip_derived_cl2080, plain, 870.59/112.65 ((((g @ c4 @ c3) = (c3))) <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2068])). 870.59/112.65 thf(zip_derived_cl6389, plain, 870.59/112.65 ((((c1) = (c3))) <= ((((g @ c4 @ c3) = (c3))) & (((g @ c5 @ c3) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2293, zip_derived_cl2080])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf('72', plain, (~ (((g @ c4 @ c3) = (c3))) | ~ (((g @ c5 @ c3) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl6389, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl2279, plain, 870.59/112.65 ((((g @ c5 @ c3) = (c3))) <= ((((g @ c5 @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2101])). 870.59/112.65 thf(zip_derived_cl97, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c3) != (c4)) | ((g @ X0 @ c2) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl2282, plain, 870.59/112.65 (((((c3) != (c4)) | ((g @ c5 @ c2) = (c2)))) 870.59/112.65 <= ((((g @ c5 @ c3) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2279, zip_derived_cl97])). 870.59/112.65 thf(zip_derived_cl2826, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c2))) <= ((((g @ c5 @ c2) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2282])). 870.59/112.65 thf(zip_derived_cl2544, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c3))) <= ((((g @ c5 @ c2) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2154])). 870.59/112.65 thf(zip_derived_cl2836, plain, 870.59/112.65 ((((c2) = (c3))) <= ((((g @ c5 @ c2) = (c3))) & (((g @ c5 @ c2) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2826, zip_derived_cl2544])). 870.59/112.65 thf(zip_derived_cl2826, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c2))) <= ((((g @ c5 @ c2) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2282])). 870.59/112.65 thf(zip_derived_cl2544, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c3))) <= ((((g @ c5 @ c2) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2154])). 870.59/112.65 thf(zip_derived_cl2828, plain, 870.59/112.65 ((((c2) = (c3))) <= ((((g @ c5 @ c2) = (c3))) & (((g @ c5 @ c2) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2826, zip_derived_cl2544])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2873, plain, 870.59/112.65 ((((c3) = (s @ c3))) 870.59/112.65 <= ((((g @ c5 @ c2) = (c3))) & (((g @ c5 @ c2) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2828, zip_derived_cl19])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2884, plain, 870.59/112.65 ((((c3) = (c4))) <= ((((g @ c5 @ c2) = (c3))) & (((g @ c5 @ c2) = (c2))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl2873, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl3087, plain, 870.59/112.65 ((((c2) = (c4))) <= ((((g @ c5 @ c2) = (c3))) & (((g @ c5 @ c2) = (c2))))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl2836, zip_derived_cl2884])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('73', plain, (~ (((g @ c5 @ c2) = (c3))) | ~ (((g @ c5 @ c2) = (c2)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl3087, zip_derived_cl1663])). 870.59/112.65 thf('74', plain, 870.59/112.65 (~ (((g @ c8 @ (s @ (s @ c5))) = (c3))) | 870.59/112.65 (((g @ c8 @ (s @ c5)) = (c3))) | (((g @ c8 @ (s @ c5)) = (c5))) | 870.59/112.65 (((g @ c8 @ (s @ c5)) = (c4)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl5455])). 870.59/112.65 thf(zip_derived_cl5433, plain, 870.59/112.65 ((((g @ c8 @ (s @ (s @ c5))) = (c3))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1547])). 870.59/112.65 thf(zip_derived_cl304, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl267])). 870.59/112.65 thf(zip_derived_cl5445, plain, 870.59/112.65 (((((c3) = (c4)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c4)))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5433, zip_derived_cl304])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl5464, plain, 870.59/112.65 (((((g @ c8 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c8 @ (s @ c5)) = (c4)))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl5445, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl10985, plain, 870.59/112.65 ((((g @ c8 @ (s @ c5)) = (c5))) <= ((((g @ c8 @ (s @ c5)) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl5464])). 870.59/112.65 thf(zip_derived_cl25, plain, 870.59/112.65 (![X11 : $i, X13 : $i]: 870.59/112.65 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl10994, plain, 870.59/112.65 (((((c5) != (c5)) | (zip_tseitin_2 @ (s @ c5) @ c8))) 870.59/112.65 <= ((((g @ c8 @ (s @ c5)) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl10985, zip_derived_cl25])). 870.59/112.65 thf(zip_derived_cl11016, plain, 870.59/112.65 (( (zip_tseitin_2 @ (s @ c5) @ c8)) <= ((((g @ c8 @ (s @ c5)) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl10994])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl11035, plain, 870.59/112.65 ((( (zip_tseitin_1 @ (s @ c5) @ c8) | (zip_tseitin_0 @ (s @ c5) @ c8))) 870.59/112.65 <= ((((g @ c8 @ (s @ c5)) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl11016, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl19638, plain, 870.59/112.65 (( (zip_tseitin_0 @ (s @ c5) @ c8)) 870.59/112.65 <= (( (zip_tseitin_0 @ (s @ c5) @ c8)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl11035])). 870.59/112.65 thf(zip_derived_cl1, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.65 thf(zip_derived_cl19639, plain, 870.59/112.65 ((((c8) = (c1))) <= (( (zip_tseitin_0 @ (s @ c5) @ c8)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19638, zip_derived_cl1])). 870.59/112.65 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl19835, plain, 870.59/112.65 ((((c1) = (s @ c1))) <= (( (zip_tseitin_0 @ (s @ c5) @ c8)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl19639, zip_derived_cl14])). 870.59/112.65 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl19873, plain, 870.59/112.65 ((((c1) = (c2))) <= (( (zip_tseitin_0 @ (s @ c5) @ c8)))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl19835, zip_derived_cl15])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('75', plain, (~ ( (zip_tseitin_0 @ (s @ c5) @ c8))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl19873, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl11016, plain, 870.59/112.65 (( (zip_tseitin_2 @ (s @ c5) @ c8)) <= ((((g @ c8 @ (s @ c5)) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl10994])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl11033, plain, 870.59/112.65 ((( (zip_tseitin_1 @ (s @ c5) @ c8) | (zip_tseitin_0 @ (s @ c5) @ c8))) 870.59/112.65 <= ((((g @ c8 @ (s @ c5)) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl11016, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl19629, plain, 870.59/112.65 (( (zip_tseitin_1 @ (s @ c5) @ c8)) 870.59/112.65 <= (( (zip_tseitin_1 @ (s @ c5) @ c8)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl11033])). 870.59/112.65 thf(zip_derived_cl4, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl19632, plain, 870.59/112.65 ((((s @ c5) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ c8)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19629, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl20009, plain, 870.59/112.65 ((((s @ (s @ c8)) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ c8)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl19632, zip_derived_cl32])). 870.59/112.65 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl20291, plain, 870.59/112.65 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ c8)))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl20009, zip_derived_cl14, zip_derived_cl15])). 870.59/112.65 thf(zip_derived_cl19632, plain, 870.59/112.65 ((((s @ c5) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ c8)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19629, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl52, plain, (((s @ c5) != (c2))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl36, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl20007, plain, 870.59/112.65 ((((c8) != (c2))) <= (( (zip_tseitin_1 @ (s @ c5) @ c8)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19632, zip_derived_cl52])). 870.59/112.65 thf('76', plain, (~ ( (zip_tseitin_1 @ (s @ c5) @ c8))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl20291, zip_derived_cl20007])). 870.59/112.65 thf('77', plain, 870.59/112.65 (~ (((g @ c8 @ (s @ c5)) = (c5))) | ( (zip_tseitin_1 @ (s @ c5) @ c8)) | 870.59/112.65 ( (zip_tseitin_0 @ (s @ c5) @ c8))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl11033])). 870.59/112.65 thf(zip_derived_cl10937, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c1))) 870.59/112.65 <= ((((g @ c8 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl10915])). 870.59/112.65 thf(zip_derived_cl1820, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ (s @ c5)) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1771])). 870.59/112.65 thf(zip_derived_cl19091, plain, 870.59/112.65 (((((c1) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c5) = (c3)) 870.59/112.65 | ((g @ c8 @ c5) = (c3)))) <= ((((g @ c8 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl10937, zip_derived_cl1820])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf(zip_derived_cl19111, plain, 870.59/112.65 (((((g @ (s @ (s @ c5)) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c5) = (c3)) 870.59/112.65 | ((g @ c8 @ c5) = (c3)))) <= ((((g @ c8 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl19091, zip_derived_cl2825])). 870.59/112.65 thf('78', plain, 870.59/112.65 (~ (((g @ c8 @ (s @ c5)) = (c3))) | (((g @ c8 @ c5) = (c3))) | 870.59/112.65 (((g @ (s @ (s @ c5)) @ c5) = (c5))) | 870.59/112.65 (((g @ (s @ (s @ c5)) @ c5) = (c3))) | 870.59/112.65 (((g @ (s @ (s @ c5)) @ c5) = (c4)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl19111])). 870.59/112.65 thf(zip_derived_cl23548, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c5) = (c5))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl12059])). 870.59/112.65 thf(zip_derived_cl25, plain, 870.59/112.65 (![X11 : $i, X13 : $i]: 870.59/112.65 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl23558, plain, 870.59/112.65 (((((c5) != (c5)) | (zip_tseitin_2 @ c5 @ (s @ (s @ c5))))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl23548, zip_derived_cl25])). 870.59/112.65 thf(zip_derived_cl23583, plain, 870.59/112.65 (( (zip_tseitin_2 @ c5 @ (s @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl23558])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl28945, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c5 @ (s @ (s @ c5))) 870.59/112.65 | (zip_tseitin_0 @ c5 @ (s @ (s @ c5))))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl23583, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl35960, plain, 870.59/112.65 (( (zip_tseitin_0 @ c5 @ (s @ (s @ c5)))) 870.59/112.65 <= (( (zip_tseitin_0 @ c5 @ (s @ (s @ c5)))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl28945])). 870.59/112.65 thf(zip_derived_cl0, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.65 thf(zip_derived_cl35963, plain, 870.59/112.65 ((((c5) = (c1))) <= (( (zip_tseitin_0 @ c5 @ (s @ (s @ c5)))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl35960, zip_derived_cl0])). 870.59/112.65 thf(zip_derived_cl51, plain, (((c5) != (c1))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl35, zip_derived_cl19, zip_derived_cl18, 870.59/112.65 zip_derived_cl17])). 870.59/112.65 thf('79', plain, (~ ( (zip_tseitin_0 @ c5 @ (s @ (s @ c5))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl35963, zip_derived_cl51])). 870.59/112.65 thf(zip_derived_cl23583, plain, 870.59/112.65 (( (zip_tseitin_2 @ c5 @ (s @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl23558])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl28943, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c5 @ (s @ (s @ c5))) 870.59/112.65 | (zip_tseitin_0 @ c5 @ (s @ (s @ c5))))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl23583, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl35951, plain, 870.59/112.65 (( (zip_tseitin_1 @ c5 @ (s @ (s @ c5)))) 870.59/112.65 <= (( (zip_tseitin_1 @ c5 @ (s @ (s @ c5)))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl28943])). 870.59/112.65 thf(zip_derived_cl4, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl35954, plain, 870.59/112.65 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ c5 @ (s @ (s @ c5)))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl35951, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl36036, plain, 870.59/112.65 ((((c1) = (s @ c5))) <= (( (zip_tseitin_1 @ c5 @ (s @ (s @ c5)))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl35954, zip_derived_cl14])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl36517, plain, 870.59/112.65 ((((s @ (s @ c1)) = (c8))) <= (( (zip_tseitin_1 @ c5 @ (s @ (s @ c5)))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl36036, zip_derived_cl32])). 870.59/112.65 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl35954, plain, 870.59/112.65 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ c5 @ (s @ (s @ c5)))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl35951, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl36928, plain, 870.59/112.65 ((((c3) = (c5))) <= (( (zip_tseitin_1 @ c5 @ (s @ (s @ c5)))))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl36517, zip_derived_cl15, zip_derived_cl19, 870.59/112.65 zip_derived_cl35954])). 870.59/112.65 thf(zip_derived_cl186, plain, (((c5) != (c3))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl22])). 870.59/112.65 thf('80', plain, (~ ( (zip_tseitin_1 @ c5 @ (s @ (s @ c5))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl36928, zip_derived_cl186])). 870.59/112.65 thf('81', plain, 870.59/112.65 (~ (((g @ (s @ (s @ c5)) @ c5) = (c5))) | 870.59/112.65 ( (zip_tseitin_1 @ c5 @ (s @ (s @ c5)))) | 870.59/112.65 ( (zip_tseitin_0 @ c5 @ (s @ (s @ c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl28943])). 870.59/112.65 thf(zip_derived_cl535, plain, 870.59/112.65 ((((g @ c8 @ c5) = (c4))) <= ((((g @ c8 @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl489])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl543, plain, 870.59/112.65 (((((c4) != (c2)) | ((g @ c8 @ (s @ c5)) = (c4)))) 870.59/112.65 <= ((((g @ c8 @ c5) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl535, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl1455, plain, 870.59/112.65 ((((g @ c8 @ (s @ c5)) = (c4))) <= ((((g @ c8 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl543])). 870.59/112.65 thf(zip_derived_cl12, plain, 870.59/112.65 (![X3 : $i, X4 : $i]: 870.59/112.65 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1460, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c8 @ c5) = (c2)))) 870.59/112.65 <= ((((g @ c8 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl1455, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl1475, plain, 870.59/112.65 ((((g @ c8 @ c5) = (c2))) <= ((((g @ c8 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1460])). 870.59/112.65 thf(zip_derived_cl535, plain, 870.59/112.65 ((((g @ c8 @ c5) = (c4))) <= ((((g @ c8 @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl489])). 870.59/112.65 thf(zip_derived_cl4988, plain, 870.59/112.65 ((((c2) = (c4))) 870.59/112.65 <= ((((g @ c8 @ c5) = (c4))) & (((g @ c8 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl1475, zip_derived_cl535])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('82', plain, 870.59/112.65 (~ (((g @ c8 @ (s @ c5)) = (c4))) | ~ (((g @ c8 @ c5) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl4988, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl304, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl267])). 870.59/112.65 thf(zip_derived_cl1506, plain, 870.59/112.65 ((((g @ c8 @ c8) = (c4)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c4)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl304])). 870.59/112.65 thf(zip_derived_cl74, plain, (((g @ c8 @ c8) = (c5))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl24])). 870.59/112.65 thf(zip_derived_cl1527, plain, 870.59/112.65 ((((c5) = (c4)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c4)))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl1506, zip_derived_cl74])). 870.59/112.65 thf(zip_derived_cl187, plain, (((c5) != (c4))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl20])). 870.59/112.65 thf(zip_derived_cl1528, plain, 870.59/112.65 ((((g @ c8 @ (s @ (s @ c5))) = (c3)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c8 @ (s @ (s @ c5))) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl1527, zip_derived_cl187])). 870.59/112.65 thf(zip_derived_cl5346, plain, 870.59/112.65 ((((g @ c8 @ (s @ (s @ c5))) = (c4))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1528])). 870.59/112.65 thf(zip_derived_cl12, plain, 870.59/112.65 (![X3 : $i, X4 : $i]: 870.59/112.65 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl5352, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c8 @ (s @ c5)) = (c2)))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl5346, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl5367, plain, 870.59/112.65 ((((g @ c8 @ (s @ c5)) = (c2))) <= ((((g @ c8 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl5352])). 870.59/112.65 thf(zip_derived_cl304, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl267])). 870.59/112.65 thf(zip_derived_cl9700, plain, 870.59/112.65 (((((c2) = (c4)) 870.59/112.65 | ((g @ c8 @ c5) = (c3)) 870.59/112.65 | ((g @ c8 @ c5) = (c5)) 870.59/112.65 | ((g @ c8 @ c5) = (c4)))) <= ((((g @ c8 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5367, zip_derived_cl304])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf(zip_derived_cl9718, plain, 870.59/112.65 (((((g @ c8 @ c5) = (c3)) 870.59/112.65 | ((g @ c8 @ c5) = (c5)) 870.59/112.65 | ((g @ c8 @ c5) = (c4)))) <= ((((g @ c8 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl9700, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl17411, plain, 870.59/112.65 ((((g @ c8 @ c5) = (c3))) <= ((((g @ c8 @ c5) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl9718])). 870.59/112.65 thf(zip_derived_cl535, plain, 870.59/112.65 ((((g @ c8 @ c5) = (c4))) <= ((((g @ c8 @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl489])). 870.59/112.65 thf(zip_derived_cl17414, plain, 870.59/112.65 ((((c3) = (c4))) <= ((((g @ c8 @ c5) = (c4))) & (((g @ c8 @ c5) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17411, zip_derived_cl535])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf('83', plain, (~ (((g @ c8 @ c5) = (c3))) | ~ (((g @ c8 @ c5) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl17414, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl304, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl267])). 870.59/112.65 thf(zip_derived_cl1510, plain, 870.59/112.65 ((((g @ c8 @ c5) = (c4)) 870.59/112.65 | ((g @ c8 @ c4) = (c3)) 870.59/112.65 | ((g @ c8 @ c4) = (c5)) 870.59/112.65 | ((g @ c8 @ c4) = (c4)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl304])). 870.59/112.65 thf('84', plain, 870.59/112.65 ((((g @ c8 @ c4) = (c4))) | (((g @ c8 @ c5) = (c4))) | 870.59/112.65 (((g @ c8 @ c4) = (c3))) | (((g @ c8 @ c4) = (c5)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1510])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl304, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl267])). 870.59/112.65 thf(zip_derived_cl1524, plain, 870.59/112.65 ((((g @ c8 @ c5) = (c4)) 870.59/112.65 | ((g @ c8 @ c4) = (c3)) 870.59/112.65 | ((g @ c8 @ c4) = (c5)) 870.59/112.65 | ((g @ c8 @ c4) = (c4)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl304])). 870.59/112.65 thf(zip_derived_cl5297, plain, 870.59/112.65 ((((g @ c8 @ c4) = (c5))) <= ((((g @ c8 @ c4) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1524])). 870.59/112.65 thf(zip_derived_cl25, plain, 870.59/112.65 (![X11 : $i, X13 : $i]: 870.59/112.65 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl5306, plain, 870.59/112.65 (((((c5) != (c5)) | (zip_tseitin_2 @ c4 @ c8))) 870.59/112.65 <= ((((g @ c8 @ c4) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl5297, zip_derived_cl25])). 870.59/112.65 thf(zip_derived_cl5328, plain, 870.59/112.65 (( (zip_tseitin_2 @ c4 @ c8)) <= ((((g @ c8 @ c4) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl5306])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl6381, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c4 @ c8) | (zip_tseitin_0 @ c4 @ c8))) 870.59/112.65 <= ((((g @ c8 @ c4) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl5328, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl12255, plain, 870.59/112.65 (( (zip_tseitin_1 @ c4 @ c8)) <= (( (zip_tseitin_1 @ c4 @ c8)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6381])). 870.59/112.65 thf(zip_derived_cl4, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl12258, plain, 870.59/112.65 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ c4 @ c8)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl12255, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl49, plain, (((c4) != (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 870.59/112.65 zip_derived_cl18])). 870.59/112.65 thf('85', plain, (~ ( (zip_tseitin_1 @ c4 @ c8))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl12258, zip_derived_cl49])). 870.59/112.65 thf(zip_derived_cl12256, plain, 870.59/112.65 (( (zip_tseitin_0 @ c4 @ c8)) <= (( (zip_tseitin_0 @ c4 @ c8)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6381])). 870.59/112.65 thf(zip_derived_cl0, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.65 thf(zip_derived_cl12267, plain, 870.59/112.65 ((((c4) = (c1))) <= (( (zip_tseitin_0 @ c4 @ c8)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl12256, zip_derived_cl0])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('86', plain, (~ ( (zip_tseitin_0 @ c4 @ c8))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl12267, zip_derived_cl2825])). 870.59/112.65 thf('87', plain, 870.59/112.65 (~ (((g @ c8 @ c4) = (c5))) | ( (zip_tseitin_0 @ c4 @ c8)) | 870.59/112.65 ( (zip_tseitin_1 @ c4 @ c8))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6381])). 870.59/112.65 thf(zip_derived_cl5157, plain, 870.59/112.65 ((((g @ c8 @ c4) = (c3))) <= ((((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1510])). 870.59/112.65 thf(zip_derived_cl81, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ X0) != (c3)) | ((g @ (s @ (s @ c5)) @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl5162, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ (s @ (s @ c5)) @ c4) = (c1)))) 870.59/112.65 <= ((((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl5157, zip_derived_cl81])). 870.59/112.65 thf(zip_derived_cl5180, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c1))) <= ((((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl5162])). 870.59/112.65 thf(zip_derived_cl4416, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1374])). 870.59/112.65 thf(zip_derived_cl10701, plain, 870.59/112.65 ((((c1) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))) & (((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5180, zip_derived_cl4416])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('88', plain, 870.59/112.65 (~ (((g @ c8 @ c4) = (c3))) | ~ (((g @ (s @ (s @ c5)) @ c4) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl10701, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl4416, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1374])). 870.59/112.65 thf(zip_derived_cl892, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c1))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl423])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl898, plain, 870.59/112.65 (((((c1) != (c2)) | ((g @ (s @ (s @ c5)) @ (s @ c4)) = (c4)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl892, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl907, plain, 870.59/112.65 (((((c1) != (c2)) | ((g @ (s @ (s @ c5)) @ c5) = (c4)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c1))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl898, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl3178, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c5) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl907])). 870.59/112.65 thf(zip_derived_cl99, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c5) != (c4)) | ((g @ X0 @ c4) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl3184, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ (s @ (s @ c5)) @ c4) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl3178, zip_derived_cl99])). 870.59/112.65 thf(zip_derived_cl3201, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl3184])). 870.59/112.65 thf(zip_derived_cl8556, plain, 870.59/112.65 ((((c4) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))) & 870.59/112.65 (((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4416, zip_derived_cl3201])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('89', plain, 870.59/112.65 (~ (((g @ (s @ (s @ c5)) @ c5) = (c4))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ c4) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl8556, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2040, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c4 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c5 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c5)) 870.59/112.65 | ((g @ c4 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2010])). 870.59/112.65 thf(zip_derived_cl7579, plain, 870.59/112.65 ((((g @ c4 @ c3) = (c4)) 870.59/112.65 | ((g @ c4 @ c2) = (c4)) 870.59/112.65 | ((g @ c4 @ c2) = (c5)) 870.59/112.65 | ((g @ c4 @ c2) = (c3)) 870.59/112.65 | ((g @ c5 @ c2) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl2040])). 870.59/112.65 thf(zip_derived_cl14115, plain, 870.59/112.65 ((((g @ c4 @ c2) = (c4))) <= ((((g @ c4 @ c2) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7579])). 870.59/112.65 thf(zip_derived_cl96, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c2) != (c4)) | ((g @ X0 @ c1) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl14126, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c4 @ c1) = (c2)))) 870.59/112.65 <= ((((g @ c4 @ c2) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl14115, zip_derived_cl96])). 870.59/112.65 thf(zip_derived_cl14151, plain, 870.59/112.65 ((((g @ c4 @ c1) = (c2))) <= ((((g @ c4 @ c2) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl14126])). 870.59/112.65 thf(zip_derived_cl5477, plain, 870.59/112.65 ((((g @ c5 @ c1) = (c3))) <= ((((g @ c5 @ c1) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1718])). 870.59/112.65 thf(zip_derived_cl85, plain, 870.59/112.65 (![X0 : $i]: (((g @ c5 @ X0) != (c3)) | ((g @ c4 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl5482, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c4 @ c1) = (c1)))) 870.59/112.65 <= ((((g @ c5 @ c1) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl5477, zip_derived_cl85])). 870.59/112.65 thf(zip_derived_cl5497, plain, 870.59/112.65 ((((g @ c4 @ c1) = (c1))) <= ((((g @ c5 @ c1) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl5482])). 870.59/112.65 thf(zip_derived_cl15275, plain, 870.59/112.65 ((((c2) = (c1))) <= ((((g @ c5 @ c1) = (c3))) & (((g @ c4 @ c2) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl14151, zip_derived_cl5497])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('90', plain, (~ (((g @ c4 @ c2) = (c4))) | ~ (((g @ c5 @ c1) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl15275, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl25709, plain, 870.59/112.65 ((((g @ c1 @ (s @ c5)) = (c4))) <= ((((g @ c1 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl14886])). 870.59/112.65 thf(zip_derived_cl609, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c5)) 870.59/112.65 | ((g @ c2 @ X0) = (c4)) 870.59/112.65 | ((g @ c2 @ X0) = (c2)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1884, plain, 870.59/112.65 ((((c2) != (c2)) 870.59/112.65 | ((g @ c2 @ c8) = (c4)) 870.59/112.65 | ((g @ c2 @ c8) = (c5)) 870.59/112.65 | ((g @ c2 @ c8) = (c3)) 870.59/112.65 | ((g @ c3 @ c8) = (c3)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl609, zip_derived_cl21])). 870.59/112.65 thf(zip_derived_cl1917, plain, 870.59/112.65 ((((g @ c3 @ c8) = (c3)) 870.59/112.65 | ((g @ c2 @ c8) = (c3)) 870.59/112.65 | ((g @ c2 @ c8) = (c5)) 870.59/112.65 | ((g @ c2 @ c8) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1884])). 870.59/112.65 thf(zip_derived_cl6757, plain, 870.59/112.65 ((((g @ c2 @ c8) = (c4))) <= ((((g @ c2 @ c8) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1917])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl12, plain, 870.59/112.65 (![X3 : $i, X4 : $i]: 870.59/112.65 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl95, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ X0 @ c8) != (c4)) | ((g @ X0 @ (s @ (s @ c5))) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl6762, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c2 @ (s @ (s @ c5))) = (c2)))) 870.59/112.65 <= ((((g @ c2 @ c8) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl6757, zip_derived_cl95])). 870.59/112.65 thf(zip_derived_cl6778, plain, 870.59/112.65 ((((g @ c2 @ (s @ (s @ c5))) = (c2))) <= ((((g @ c2 @ c8) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl6762])). 870.59/112.65 thf(zip_derived_cl1911, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c2 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c3)) 870.59/112.65 | ((g @ c2 @ X0) = (c5)) 870.59/112.65 | ((g @ c2 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1873])). 870.59/112.65 thf(zip_derived_cl12897, plain, 870.59/112.65 (((((c2) = (c4)) 870.59/112.65 | ((g @ c2 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c2 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c2 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c3 @ (s @ c5)) = (c3)))) <= ((((g @ c2 @ c8) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl6778, zip_derived_cl1911])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf(zip_derived_cl12913, plain, 870.59/112.65 (((((g @ c2 @ (s @ c5)) = (c4)) 870.59/112.65 | ((g @ c2 @ (s @ c5)) = (c5)) 870.59/112.65 | ((g @ c2 @ (s @ c5)) = (c3)) 870.59/112.65 | ((g @ c3 @ (s @ c5)) = (c3)))) <= ((((g @ c2 @ c8) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl12897, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl24310, plain, 870.59/112.65 ((((g @ c2 @ (s @ c5)) = (c3))) <= ((((g @ c2 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl12913])). 870.59/112.65 thf(zip_derived_cl82, plain, 870.59/112.65 (![X0 : $i]: (((g @ c2 @ X0) != (c3)) | ((g @ c1 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl24317, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c1 @ (s @ c5)) = (c1)))) 870.59/112.65 <= ((((g @ c2 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl24310, zip_derived_cl82])). 870.59/112.65 thf(zip_derived_cl24337, plain, 870.59/112.65 ((((g @ c1 @ (s @ c5)) = (c1))) <= ((((g @ c2 @ (s @ c5)) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl24317])). 870.59/112.65 thf(zip_derived_cl28956, plain, 870.59/112.65 ((((c4) = (c1))) 870.59/112.65 <= ((((g @ c2 @ (s @ c5)) = (c3))) & (((g @ c1 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl25709, zip_derived_cl24337])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('91', plain, 870.59/112.65 (~ (((g @ c2 @ (s @ c5)) = (c3))) | ~ (((g @ c1 @ (s @ c5)) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl28956, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl12653, plain, 870.59/112.65 ((((g @ c2 @ (s @ (s @ c5))) = (c4))) 870.59/112.65 <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6602])). 870.59/112.65 thf(zip_derived_cl12473, plain, 870.59/112.65 ((((g @ c3 @ (s @ (s @ c5))) = (c3))) 870.59/112.65 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6589])). 870.59/112.65 thf(zip_derived_cl83, plain, 870.59/112.65 (![X0 : $i]: (((g @ c3 @ X0) != (c3)) | ((g @ c2 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl12480, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c2 @ (s @ (s @ c5))) = (c1)))) 870.59/112.65 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl12473, zip_derived_cl83])). 870.59/112.65 thf(zip_derived_cl12496, plain, 870.59/112.65 ((((g @ c2 @ (s @ (s @ c5))) = (c1))) 870.59/112.65 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl12480])). 870.59/112.65 thf(zip_derived_cl23993, plain, 870.59/112.65 ((((c4) = (c1))) 870.59/112.65 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))) & 870.59/112.65 (((g @ c2 @ (s @ (s @ c5))) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl12653, zip_derived_cl12496])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('92', plain, 870.59/112.65 (~ (((g @ c2 @ (s @ (s @ c5))) = (c4))) | 870.59/112.65 ~ (((g @ c3 @ (s @ (s @ c5))) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl23993, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl465, plain, 870.59/112.65 ((((g @ c8 @ c4) = (c4))) <= ((((g @ c8 @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl427])). 870.59/112.65 thf(zip_derived_cl98, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c4) != (c4)) | ((g @ X0 @ c3) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl470, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c8 @ c3) = (c2)))) 870.59/112.65 <= ((((g @ c8 @ c4) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl465, zip_derived_cl98])). 870.59/112.65 thf(zip_derived_cl485, plain, 870.59/112.65 ((((g @ c8 @ c3) = (c2))) <= ((((g @ c8 @ c4) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl470])). 870.59/112.65 thf(zip_derived_cl403, plain, 870.59/112.65 ((((g @ c8 @ c3) = (c4))) <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl348])). 870.59/112.65 thf(zip_derived_cl567, plain, 870.59/112.65 ((((c2) = (c4))) <= ((((g @ c8 @ c3) = (c4))) & (((g @ c8 @ c4) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl485, zip_derived_cl403])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl688, plain, 870.59/112.65 ((((c3) = (s @ c4))) 870.59/112.65 <= ((((g @ c8 @ c3) = (c4))) & (((g @ c8 @ c4) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl567, zip_derived_cl19])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl693, plain, 870.59/112.65 ((((c3) = (c5))) <= ((((g @ c8 @ c3) = (c4))) & (((g @ c8 @ c4) = (c4))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl688, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl186, plain, (((c5) != (c3))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl22])). 870.59/112.65 thf('93', plain, (~ (((g @ c8 @ c3) = (c4))) | ~ (((g @ c8 @ c4) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl693, zip_derived_cl186])). 870.59/112.65 thf(zip_derived_cl607, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c2)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1762, plain, 870.59/112.65 ((((c2) != (c2)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c3)) 870.59/112.65 | ((g @ c8 @ c8) = (c3)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl607, zip_derived_cl21])). 870.59/112.65 thf(zip_derived_cl74, plain, (((g @ c8 @ c8) = (c5))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl24])). 870.59/112.65 thf(zip_derived_cl1810, plain, 870.59/112.65 ((((c2) != (c2)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c3)) 870.59/112.65 | ((c5) = (c3)))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl1762, zip_derived_cl74])). 870.59/112.65 thf(zip_derived_cl1811, plain, 870.59/112.65 ((((c5) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1810])). 870.59/112.65 thf(zip_derived_cl186, plain, (((c5) != (c3))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl22])). 870.59/112.65 thf(zip_derived_cl1812, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c8) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl1811, zip_derived_cl186])). 870.59/112.65 thf(zip_derived_cl5928, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c8) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c8) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1812])). 870.59/112.65 thf(zip_derived_cl95, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ X0 @ c8) != (c4)) | ((g @ X0 @ (s @ (s @ c5))) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl5934, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ (s @ (s @ c5)) @ (s @ (s @ c5))) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c8) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl5928, zip_derived_cl95])). 870.59/112.65 thf(zip_derived_cl5952, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ (s @ (s @ c5))) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c8) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl5934])). 870.59/112.65 thf(zip_derived_cl5457, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ (s @ (s @ c5))) = (c1))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl5438])). 870.59/112.65 thf(zip_derived_cl11269, plain, 870.59/112.65 ((((c2) = (c1))) 870.59/112.65 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))) & 870.59/112.65 (((g @ (s @ (s @ c5)) @ c8) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5952, zip_derived_cl5457])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('94', plain, 870.59/112.65 (~ (((g @ c8 @ (s @ (s @ c5))) = (c3))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ c8) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl11269, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl2279, plain, 870.59/112.65 ((((g @ c5 @ c3) = (c3))) <= ((((g @ c5 @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2101])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2285, plain, 870.59/112.65 (((((c3) != (c2)) | ((g @ c5 @ (s @ c3)) = (c4)))) 870.59/112.65 <= ((((g @ c5 @ c3) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2279, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2297, plain, 870.59/112.65 (((((c3) != (c2)) | ((g @ c5 @ c4) = (c4)))) 870.59/112.65 <= ((((g @ c5 @ c3) = (c3))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl2285, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl2888, plain, 870.59/112.65 ((((g @ c5 @ c4) = (c4))) <= ((((g @ c5 @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2297])). 870.59/112.65 thf(zip_derived_cl2244, plain, 870.59/112.65 ((((g @ c4 @ c4) = (c4))) <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2100])). 870.59/112.65 thf(zip_derived_cl11, plain, 870.59/112.65 (![X0 : $i, X2 : $i]: 870.59/112.65 (((g @ (s @ X0) @ X2) = (c3)) | ((g @ X0 @ X2) != (c1)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2252, plain, 870.59/112.65 (((((c4) != (c1)) | ((g @ (s @ c4) @ c4) = (c3)))) 870.59/112.65 <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2244, zip_derived_cl11])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2268, plain, 870.59/112.65 (((((c4) != (c1)) | ((g @ c5 @ c4) = (c3)))) 870.59/112.65 <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl2252, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl2696, plain, 870.59/112.65 ((((g @ c5 @ c4) = (c3))) <= ((((g @ c5 @ c4) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2268])). 870.59/112.65 thf(zip_derived_cl2890, plain, 870.59/112.65 ((((c4) = (c3))) <= ((((g @ c5 @ c4) = (c3))) & (((g @ c5 @ c4) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2888, zip_derived_cl2696])). 870.59/112.65 thf(zip_derived_cl893, plain, ((((c4) != (c3))) <= (~ (((c4) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl423])). 870.59/112.65 thf(zip_derived_cl3140, plain, 870.59/112.65 ((((c4) != (c4))) 870.59/112.65 <= (~ (((c4) = (c3))) & 870.59/112.65 (((g @ c5 @ c4) = (c3))) & 870.59/112.65 (((g @ c5 @ c4) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2890, zip_derived_cl893])). 870.59/112.65 thf('95', plain, 870.59/112.65 (~ (((g @ c5 @ c4) = (c4))) | ~ (((g @ c5 @ c4) = (c3))) | 870.59/112.65 (((c4) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl3140])). 870.59/112.65 thf(zip_derived_cl11540, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11515])). 870.59/112.65 thf(zip_derived_cl1123, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl457])). 870.59/112.65 thf(zip_derived_cl11, plain, 870.59/112.65 (![X0 : $i, X2 : $i]: 870.59/112.65 (((g @ (s @ X0) @ X2) = (c3)) | ((g @ X0 @ X2) != (c1)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1131, plain, 870.59/112.65 (((((c4) != (c1)) | ((g @ (s @ (s @ (s @ c5))) @ c2) = (c3)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl1123, zip_derived_cl11])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl1143, plain, 870.59/112.65 (((((c4) != (c1)) | ((g @ c8 @ c2) = (c3)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl1131, zip_derived_cl32])). 870.59/112.65 thf(zip_derived_cl1290, plain, 870.59/112.65 ((((g @ c8 @ c2) = (c3))) <= ((((g @ c8 @ c2) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1143])). 870.59/112.65 thf(zip_derived_cl81, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ X0) != (c3)) | ((g @ (s @ (s @ c5)) @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl1294, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ (s @ (s @ c5)) @ c2) = (c1)))) 870.59/112.65 <= ((((g @ c8 @ c2) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl1290, zip_derived_cl81])). 870.59/112.65 thf(zip_derived_cl1310, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c1))) <= ((((g @ c8 @ c2) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1294])). 870.59/112.65 thf(zip_derived_cl22411, plain, 870.59/112.65 ((((c2) = (c1))) 870.59/112.65 <= ((((g @ c8 @ c2) = (c3))) & (((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl11540, zip_derived_cl1310])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('96', plain, 870.59/112.65 (~ (((g @ c8 @ c2) = (c3))) | ~ (((g @ (s @ (s @ c5)) @ c3) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl22411, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl12065, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ c5) @ X0) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c2)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11968])). 870.59/112.65 thf(zip_derived_cl11540, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11515])). 870.59/112.65 thf(zip_derived_cl23615, plain, 870.59/112.65 (((((c4) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c2)) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c2)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c2)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c2)) = (c3)) 870.59/112.65 | ((g @ c8 @ c2) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c2) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl12065, zip_derived_cl11540])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl23703, plain, 870.59/112.65 (((((c4) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ c8 @ c2) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c2) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl23615, zip_derived_cl19, zip_derived_cl19, 870.59/112.65 zip_derived_cl19, zip_derived_cl19])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf(zip_derived_cl23704, plain, 870.59/112.65 (((((g @ (s @ c5) @ c3) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ c8 @ c2) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c2) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl23703, zip_derived_cl1663])). 870.59/112.65 thf('97', plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c5))) | (((g @ (s @ c5) @ c3) = (c5))) | 870.59/112.65 (((g @ (s @ c5) @ c3) = (c3))) | (((g @ (s @ c5) @ c3) = (c4))) | 870.59/112.65 (((g @ (s @ c5) @ c3) = (c2))) | (((g @ (s @ c5) @ c2) = (c1))) | 870.59/112.65 (((g @ c8 @ c2) = (c3))) | ~ (((g @ (s @ (s @ c5)) @ c3) = (c4)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl23704])). 870.59/112.65 thf(zip_derived_cl2768, plain, 870.59/112.65 ((((g @ (s @ c5) @ c4) = (c2))) <= ((((g @ (s @ c5) @ c4) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2767])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl2772, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c4) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2768, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl7325, plain, 870.59/112.65 (((((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c4) = (c2))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl2772, zip_derived_cl5803])). 870.59/112.65 thf(zip_derived_cl7326, plain, 870.59/112.65 ((((g @ c5 @ c4) = (c2))) <= ((((g @ c5 @ c4) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7325])). 870.59/112.65 thf(zip_derived_cl2888, plain, 870.59/112.65 ((((g @ c5 @ c4) = (c4))) <= ((((g @ c5 @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2297])). 870.59/112.65 thf(zip_derived_cl7331, plain, 870.59/112.65 ((((c2) = (c4))) <= ((((g @ c5 @ c4) = (c4))) & (((g @ c5 @ c4) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl7326, zip_derived_cl2888])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('98', plain, (~ (((g @ c5 @ c4) = (c4))) | ~ (((g @ c5 @ c4) = (c2)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl7331, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl2696, plain, 870.59/112.65 ((((g @ c5 @ c4) = (c3))) <= ((((g @ c5 @ c4) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2268])). 870.59/112.65 thf(zip_derived_cl85, plain, 870.59/112.65 (![X0 : $i]: (((g @ c5 @ X0) != (c3)) | ((g @ c4 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl2700, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c4 @ c4) = (c1)))) 870.59/112.65 <= ((((g @ c5 @ c4) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2696, zip_derived_cl85])). 870.59/112.65 thf(zip_derived_cl2712, plain, 870.59/112.65 ((((g @ c4 @ c4) = (c1))) <= ((((g @ c5 @ c4) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2700])). 870.59/112.65 thf(zip_derived_cl2244, plain, 870.59/112.65 ((((g @ c4 @ c4) = (c4))) <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2100])). 870.59/112.65 thf(zip_derived_cl6960, plain, 870.59/112.65 ((((c1) = (c4))) <= ((((g @ c4 @ c4) = (c4))) & (((g @ c5 @ c4) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2712, zip_derived_cl2244])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('99', plain, (~ (((g @ c5 @ c4) = (c3))) | ~ (((g @ c4 @ c4) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl6960, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl18513, plain, 870.59/112.65 ((((g @ c5 @ (s @ c5)) = (c4))) <= ((((g @ c5 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10355])). 870.59/112.65 thf(zip_derived_cl12, plain, 870.59/112.65 (![X3 : $i, X4 : $i]: 870.59/112.65 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl18519, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c5 @ c5) = (c2)))) 870.59/112.65 <= ((((g @ c5 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18513, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl18534, plain, 870.59/112.65 ((((g @ c5 @ c5) = (c2))) <= ((((g @ c5 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl18519])). 870.59/112.65 thf(zip_derived_cl7326, plain, 870.59/112.65 ((((g @ c5 @ c4) = (c2))) <= ((((g @ c5 @ c4) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7325])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl7337, plain, 870.59/112.65 (((((c2) != (c2)) | ((g @ c5 @ (s @ c4)) = (c4)))) 870.59/112.65 <= ((((g @ c5 @ c4) = (c2))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7326, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl7353, plain, 870.59/112.65 (((((c2) != (c2)) | ((g @ c5 @ c5) = (c4)))) 870.59/112.65 <= ((((g @ c5 @ c4) = (c2))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl7337, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl7354, plain, 870.59/112.65 ((((g @ c5 @ c5) = (c4))) <= ((((g @ c5 @ c4) = (c2))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl7353])). 870.59/112.65 thf(zip_derived_cl19216, plain, 870.59/112.65 ((((c2) = (c4))) 870.59/112.65 <= ((((g @ c5 @ c4) = (c2))) & (((g @ c5 @ (s @ c5)) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl18534, zip_derived_cl7354])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('100', plain, 870.59/112.65 (~ (((g @ c5 @ (s @ c5)) = (c4))) | ~ (((g @ c5 @ c4) = (c2)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl19216, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl3303, plain, 870.59/112.65 ((((g @ c3 @ c4) = (c4))) <= ((((g @ c3 @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2534])). 870.59/112.65 thf(zip_derived_cl98, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c4) != (c4)) | ((g @ X0 @ c3) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl3307, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c3 @ c3) = (c2)))) 870.59/112.65 <= ((((g @ c3 @ c4) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl3303, zip_derived_cl98])). 870.59/112.65 thf(zip_derived_cl3322, plain, 870.59/112.65 ((((g @ c3 @ c3) = (c2))) <= ((((g @ c3 @ c4) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl3307])). 870.59/112.65 thf(zip_derived_cl2080, plain, 870.59/112.65 ((((g @ c4 @ c3) = (c3))) <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2068])). 870.59/112.65 thf(zip_derived_cl84, plain, 870.59/112.65 (![X0 : $i]: (((g @ c4 @ X0) != (c3)) | ((g @ c3 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl2083, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c3 @ c3) = (c1)))) 870.59/112.65 <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2080, zip_derived_cl84])). 870.59/112.65 thf(zip_derived_cl2096, plain, 870.59/112.65 ((((g @ c3 @ c3) = (c1))) <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2083])). 870.59/112.65 thf(zip_derived_cl7488, plain, 870.59/112.65 ((((c2) = (c1))) <= ((((g @ c4 @ c3) = (c3))) & (((g @ c3 @ c4) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl3322, zip_derived_cl2096])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('101', plain, (~ (((g @ c3 @ c4) = (c4))) | ~ (((g @ c4 @ c3) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl7488, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl14238, plain, 870.59/112.65 ((((g @ c4 @ c5) = (c4))) <= ((((g @ c4 @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7581])). 870.59/112.65 thf(zip_derived_cl99, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c5) != (c4)) | ((g @ X0 @ c4) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl14245, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c4 @ c4) = (c2)))) 870.59/112.65 <= ((((g @ c4 @ c5) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl14238, zip_derived_cl99])). 870.59/112.65 thf(zip_derived_cl14262, plain, 870.59/112.65 ((((g @ c4 @ c4) = (c2))) <= ((((g @ c4 @ c5) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl14245])). 870.59/112.65 thf(zip_derived_cl2244, plain, 870.59/112.65 ((((g @ c4 @ c4) = (c4))) <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2100])). 870.59/112.65 thf(zip_derived_cl17309, plain, 870.59/112.65 ((((c2) = (c4))) <= ((((g @ c4 @ c4) = (c4))) & (((g @ c4 @ c5) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl14262, zip_derived_cl2244])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('102', plain, (~ (((g @ c4 @ c5) = (c4))) | ~ (((g @ c4 @ c4) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl17309, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl14262, plain, 870.59/112.65 ((((g @ c4 @ c4) = (c2))) <= ((((g @ c4 @ c5) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl14245])). 870.59/112.65 thf(zip_derived_cl2712, plain, 870.59/112.65 ((((g @ c4 @ c4) = (c1))) <= ((((g @ c5 @ c4) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2700])). 870.59/112.65 thf(zip_derived_cl17308, plain, 870.59/112.65 ((((c2) = (c1))) <= ((((g @ c5 @ c4) = (c3))) & (((g @ c4 @ c5) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl14262, zip_derived_cl2712])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('103', plain, (~ (((g @ c4 @ c5) = (c4))) | ~ (((g @ c5 @ c4) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl17308, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl1434, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c5) = (c1))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl538])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl1442, plain, 870.59/112.65 (((((c1) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c1))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl1434, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf(zip_derived_cl4777, plain, 870.59/112.65 (((((g @ (s @ c5) @ c5) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c1))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl1442, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl4779, plain, 870.59/112.65 ((((g @ (s @ c5) @ c5) = (c4))) <= ((((g @ (s @ c5) @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl4777])). 870.59/112.65 thf(zip_derived_cl4619, plain, 870.59/112.65 ((((g @ (s @ c5) @ c5) = (c2))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl4618])). 870.59/112.65 thf(zip_derived_cl4782, plain, 870.59/112.65 ((((c4) = (c2))) 870.59/112.65 <= ((((g @ (s @ c5) @ c5) = (c2))) & (((g @ (s @ c5) @ c5) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4779, zip_derived_cl4619])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('104', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c5) = (c2))) | ~ (((g @ (s @ c5) @ c5) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl4782, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl14115, plain, 870.59/112.65 ((((g @ c4 @ c2) = (c4))) <= ((((g @ c4 @ c2) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7579])). 870.59/112.65 thf(zip_derived_cl2310, plain, 870.59/112.65 ((((g @ c4 @ c2) = (c1))) <= ((((g @ c4 @ c2) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2111])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2317, plain, 870.59/112.65 (((((c1) != (c2)) | ((g @ c4 @ (s @ c2)) = (c4)))) 870.59/112.65 <= ((((g @ c4 @ c2) = (c1))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2310, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2328, plain, 870.59/112.65 (((((c1) != (c2)) | ((g @ c4 @ c3) = (c4)))) 870.59/112.65 <= ((((g @ c4 @ c2) = (c1))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl2317, zip_derived_cl19])). 870.59/112.65 thf(zip_derived_cl3093, plain, 870.59/112.65 ((((g @ c4 @ c3) = (c4))) <= ((((g @ c4 @ c3) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2328])). 870.59/112.65 thf(zip_derived_cl97, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c3) != (c4)) | ((g @ X0 @ c2) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl3098, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c4 @ c2) = (c2)))) 870.59/112.65 <= ((((g @ c4 @ c3) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl3093, zip_derived_cl97])). 870.59/112.65 thf(zip_derived_cl3114, plain, 870.59/112.65 ((((g @ c4 @ c2) = (c2))) <= ((((g @ c4 @ c3) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl3098])). 870.59/112.65 thf(zip_derived_cl14120, plain, 870.59/112.65 ((((c4) = (c2))) <= ((((g @ c4 @ c3) = (c4))) & (((g @ c4 @ c2) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl14115, zip_derived_cl3114])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('105', plain, (~ (((g @ c4 @ c3) = (c4))) | ~ (((g @ c4 @ c2) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl14120, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl4950, plain, 870.59/112.65 ((((g @ c3 @ c3) = (c4))) <= ((((g @ c3 @ c3) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl3078])). 870.59/112.65 thf(zip_derived_cl2096, plain, 870.59/112.65 ((((g @ c3 @ c3) = (c1))) <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2083])). 870.59/112.65 thf(zip_derived_cl5830, plain, 870.59/112.65 ((((c4) = (c1))) <= ((((g @ c4 @ c3) = (c3))) & (((g @ c3 @ c3) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4950, zip_derived_cl2096])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('106', plain, (~ (((g @ c3 @ c3) = (c4))) | ~ (((g @ c4 @ c3) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl5830, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl3114, plain, 870.59/112.65 ((((g @ c4 @ c2) = (c2))) <= ((((g @ c4 @ c3) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl3098])). 870.59/112.65 thf(zip_derived_cl2544, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c3))) <= ((((g @ c5 @ c2) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2154])). 870.59/112.65 thf(zip_derived_cl85, plain, 870.59/112.65 (![X0 : $i]: (((g @ c5 @ X0) != (c3)) | ((g @ c4 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl2547, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c4 @ c2) = (c1)))) 870.59/112.65 <= ((((g @ c5 @ c2) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2544, zip_derived_cl85])). 870.59/112.65 thf(zip_derived_cl2561, plain, 870.59/112.65 ((((g @ c4 @ c2) = (c1))) <= ((((g @ c5 @ c2) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2547])). 870.59/112.65 thf(zip_derived_cl7182, plain, 870.59/112.65 ((((c2) = (c1))) <= ((((g @ c5 @ c2) = (c3))) & (((g @ c4 @ c3) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl3114, zip_derived_cl2561])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('107', plain, (~ (((g @ c4 @ c3) = (c4))) | ~ (((g @ c5 @ c2) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl7182, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl14115, plain, 870.59/112.65 ((((g @ c4 @ c2) = (c4))) <= ((((g @ c4 @ c2) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7579])). 870.59/112.65 thf(zip_derived_cl2561, plain, 870.59/112.65 ((((g @ c4 @ c2) = (c1))) <= ((((g @ c5 @ c2) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2547])). 870.59/112.65 thf(zip_derived_cl14121, plain, 870.59/112.65 ((((c4) = (c1))) <= ((((g @ c5 @ c2) = (c3))) & (((g @ c4 @ c2) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl14115, zip_derived_cl2561])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('108', plain, (~ (((g @ c5 @ c2) = (c3))) | ~ (((g @ c4 @ c2) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl14121, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl12065, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ c5) @ X0) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c2)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11968])). 870.59/112.65 thf(zip_derived_cl3201, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl3184])). 870.59/112.65 thf(zip_derived_cl23629, plain, 870.59/112.65 (((((c4) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c4)) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c4)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c4)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c4)) = (c3)) 870.59/112.65 | ((g @ c8 @ c4) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl12065, zip_derived_cl3201])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl23731, plain, 870.59/112.65 (((((c4) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c3)) 870.59/112.65 | ((g @ c8 @ c4) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl23629, zip_derived_cl17, zip_derived_cl17, 870.59/112.65 zip_derived_cl17, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf(zip_derived_cl23732, plain, 870.59/112.65 (((((g @ (s @ c5) @ c5) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c3)) 870.59/112.65 | ((g @ c8 @ c4) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl23731, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl29205, plain, 870.59/112.65 ((((g @ (s @ c5) @ c4) = (c1))) <= ((((g @ (s @ c5) @ c4) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl23732])). 870.59/112.65 thf(zip_derived_cl4779, plain, 870.59/112.65 ((((g @ (s @ c5) @ c5) = (c4))) <= ((((g @ (s @ c5) @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl4777])). 870.59/112.65 thf(zip_derived_cl99, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c5) != (c4)) | ((g @ X0 @ c4) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl4785, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ (s @ c5) @ c4) = (c2)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c5) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl4779, zip_derived_cl99])). 870.59/112.65 thf(zip_derived_cl4800, plain, 870.59/112.65 ((((g @ (s @ c5) @ c4) = (c2))) <= ((((g @ (s @ c5) @ c5) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4785])). 870.59/112.65 thf(zip_derived_cl29208, plain, 870.59/112.65 ((((c1) = (c2))) 870.59/112.65 <= ((((g @ (s @ c5) @ c5) = (c4))) & (((g @ (s @ c5) @ c4) = (c1))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl29205, zip_derived_cl4800])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('109', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c4) = (c1))) | ~ (((g @ (s @ c5) @ c5) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl29208, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl5157, plain, 870.59/112.65 ((((g @ c8 @ c4) = (c3))) <= ((((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1510])). 870.59/112.65 thf(zip_derived_cl535, plain, 870.59/112.65 ((((g @ c8 @ c5) = (c4))) <= ((((g @ c8 @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl489])). 870.59/112.65 thf(zip_derived_cl99, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c5) != (c4)) | ((g @ X0 @ c4) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl540, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c8 @ c4) = (c2)))) 870.59/112.65 <= ((((g @ c8 @ c5) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl535, zip_derived_cl99])). 870.59/112.65 thf(zip_derived_cl555, plain, 870.59/112.65 ((((g @ c8 @ c4) = (c2))) <= ((((g @ c8 @ c5) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl540])). 870.59/112.65 thf(zip_derived_cl5159, plain, 870.59/112.65 ((((c3) = (c2))) <= ((((g @ c8 @ c5) = (c4))) & (((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5157, zip_derived_cl555])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl5220, plain, 870.59/112.65 ((((c3) = (s @ c3))) 870.59/112.65 <= ((((g @ c8 @ c5) = (c4))) & (((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5159, zip_derived_cl19])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl5233, plain, 870.59/112.65 ((((c3) = (c4))) <= ((((g @ c8 @ c5) = (c4))) & (((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl5220, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf('110', plain, (~ (((g @ c8 @ c4) = (c3))) | ~ (((g @ c8 @ c5) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl5233, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl11504, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6130])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl11513, plain, 870.59/112.65 (((((c4) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl11504, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl11538, plain, 870.59/112.65 (((((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl11513, zip_derived_cl3704])). 870.59/112.65 thf('111', plain, 870.59/112.65 ((((g @ (s @ c5) @ c3) = (c5))) | (((g @ (s @ c5) @ c3) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ c3) = (c4))) | (((g @ (s @ c5) @ c3) = (c2))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ c3) = (c4)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl11538])). 870.59/112.65 thf(zip_derived_cl5159, plain, 870.59/112.65 ((((c3) = (c2))) <= ((((g @ c8 @ c5) = (c4))) & (((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5157, zip_derived_cl555])). 870.59/112.65 thf(zip_derived_cl424, plain, 870.59/112.65 ((((g @ c8 @ c2) = (c2))) <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl408])). 870.59/112.65 thf(zip_derived_cl5214, plain, 870.59/112.65 ((((g @ c8 @ c3) = (c2))) 870.59/112.65 <= ((((g @ c8 @ c3) = (c4))) & 870.59/112.65 (((g @ c8 @ c5) = (c4))) & 870.59/112.65 (((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5159, zip_derived_cl424])). 870.59/112.65 thf(zip_derived_cl403, plain, 870.59/112.65 ((((g @ c8 @ c3) = (c4))) <= ((((g @ c8 @ c3) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl348])). 870.59/112.65 thf(zip_derived_cl5159, plain, 870.59/112.65 ((((c3) = (c2))) <= ((((g @ c8 @ c5) = (c4))) & (((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5157, zip_derived_cl555])). 870.59/112.65 thf(zip_derived_cl5228, plain, 870.59/112.65 ((((c4) = (c3))) 870.59/112.65 <= ((((g @ c8 @ c3) = (c4))) & 870.59/112.65 (((g @ c8 @ c5) = (c4))) & 870.59/112.65 (((g @ c8 @ c4) = (c3))))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl5214, zip_derived_cl403, zip_derived_cl5159])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf('112', plain, 870.59/112.65 (~ (((g @ c8 @ c4) = (c3))) | ~ (((g @ c8 @ c5) = (c4))) | 870.59/112.65 ~ (((g @ c8 @ c3) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl5228, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl3178, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c5) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl907])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl3182, plain, 870.59/112.65 (((((c4) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl3178, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl8392, plain, 870.59/112.65 (((((g @ (s @ c5) @ c5) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl3182, zip_derived_cl3704])). 870.59/112.65 thf('113', plain, 870.59/112.65 (~ (((g @ (s @ (s @ c5)) @ c5) = (c4))) | 870.59/112.65 (((g @ (s @ c5) @ c5) = (c4))) | (((g @ (s @ c5) @ c5) = (c5))) | 870.59/112.65 (((g @ (s @ c5) @ c5) = (c3))) | (((g @ (s @ c5) @ c5) = (c2)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl8392])). 870.59/112.65 thf(zip_derived_cl611, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c5 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c5)) 870.59/112.65 | ((g @ c4 @ X0) = (c4)) 870.59/112.65 | ((g @ c4 @ X0) = (c2)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2017, plain, 870.59/112.65 ((((c2) != (c2)) 870.59/112.65 | ((g @ c4 @ c8) = (c4)) 870.59/112.65 | ((g @ c4 @ c8) = (c5)) 870.59/112.65 | ((g @ c4 @ c8) = (c3)) 870.59/112.65 | ((g @ c5 @ c8) = (c3)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl611, zip_derived_cl21])). 870.59/112.65 thf(zip_derived_cl2044, plain, 870.59/112.65 ((((g @ c5 @ c8) = (c3)) 870.59/112.65 | ((g @ c4 @ c8) = (c3)) 870.59/112.65 | ((g @ c4 @ c8) = (c5)) 870.59/112.65 | ((g @ c4 @ c8) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2017])). 870.59/112.65 thf(zip_derived_cl7666, plain, 870.59/112.65 ((((g @ c4 @ c8) = (c4))) <= ((((g @ c4 @ c8) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2044])). 870.59/112.65 thf(zip_derived_cl611, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c5 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c4 @ X0) = (c5)) 870.59/112.65 | ((g @ c4 @ X0) = (c4)) 870.59/112.65 | ((g @ c4 @ X0) = (c2)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2001, plain, 870.59/112.65 ((((c2) != (c2)) 870.59/112.65 | ((g @ c4 @ c8) = (c4)) 870.59/112.65 | ((g @ c4 @ c8) = (c5)) 870.59/112.65 | ((g @ c4 @ c8) = (c3)) 870.59/112.65 | ((g @ c5 @ c8) = (c3)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl611, zip_derived_cl21])). 870.59/112.65 thf(zip_derived_cl2032, plain, 870.59/112.65 ((((g @ c5 @ c8) = (c3)) 870.59/112.65 | ((g @ c4 @ c8) = (c3)) 870.59/112.65 | ((g @ c4 @ c8) = (c5)) 870.59/112.65 | ((g @ c4 @ c8) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2001])). 870.59/112.65 thf(zip_derived_cl7459, plain, 870.59/112.65 ((((g @ c5 @ c8) = (c3))) <= ((((g @ c5 @ c8) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2032])). 870.59/112.65 thf(zip_derived_cl85, plain, 870.59/112.65 (![X0 : $i]: (((g @ c5 @ X0) != (c3)) | ((g @ c4 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl7463, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c4 @ c8) = (c1)))) 870.59/112.65 <= ((((g @ c5 @ c8) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7459, zip_derived_cl85])). 870.59/112.65 thf(zip_derived_cl7477, plain, 870.59/112.65 ((((g @ c4 @ c8) = (c1))) <= ((((g @ c5 @ c8) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl7463])). 870.59/112.65 thf(zip_derived_cl9493, plain, 870.59/112.65 ((((c4) = (c1))) <= ((((g @ c5 @ c8) = (c3))) & (((g @ c4 @ c8) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl7666, zip_derived_cl7477])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('114', plain, (~ (((g @ c4 @ c8) = (c4))) | ~ (((g @ c5 @ c8) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl9493, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl18480, plain, 870.59/112.65 ((((g @ c5 @ (s @ c5)) = (c2))) <= ((((g @ c5 @ (s @ c5)) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10351])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl18490, plain, 870.59/112.65 (((((c2) != (c2)) | ((g @ c5 @ (s @ (s @ c5))) = (c4)))) 870.59/112.65 <= ((((g @ c5 @ (s @ c5)) = (c2))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18480, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl18506, plain, 870.59/112.65 ((((g @ c5 @ (s @ (s @ c5))) = (c4))) <= ((((g @ c5 @ (s @ c5)) = (c2))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl18490])). 870.59/112.65 thf(zip_derived_cl607, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c2)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1784, plain, 870.59/112.65 ((((c2) != (c2)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c3)) 870.59/112.65 | ((g @ c8 @ c8) = (c3)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl607, zip_derived_cl21])). 870.59/112.65 thf(zip_derived_cl74, plain, (((g @ c8 @ c8) = (c5))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl24])). 870.59/112.65 thf(zip_derived_cl1828, plain, 870.59/112.65 ((((c2) != (c2)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c3)) 870.59/112.65 | ((c5) = (c3)))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl1784, zip_derived_cl74])). 870.59/112.65 thf(zip_derived_cl1829, plain, 870.59/112.65 ((((c5) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1828])). 870.59/112.65 thf(zip_derived_cl186, plain, (((c5) != (c3))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl22])). 870.59/112.65 thf(zip_derived_cl1830, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c8) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c8) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl1829, zip_derived_cl186])). 870.59/112.65 thf(zip_derived_cl6175, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c8) = (c3))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c8) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1830])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl6179, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ (s @ c5) @ c8) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c8) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl6175, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl6198, plain, 870.59/112.65 ((((g @ (s @ c5) @ c8) = (c1))) <= ((((g @ (s @ (s @ c5)) @ c8) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl6179])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl10054, plain, 870.59/112.65 (((((c1) = (c3)) 870.59/112.65 | ((g @ c5 @ c8) = (c3)) 870.59/112.65 | ((g @ c5 @ c8) = (c5)) 870.59/112.65 | ((g @ c5 @ c8) = (c4)) 870.59/112.65 | ((g @ c5 @ c8) = (c2)))) <= ((((g @ (s @ (s @ c5)) @ c8) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl6198, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf(zip_derived_cl10068, plain, 870.59/112.65 (((((g @ c5 @ c8) = (c3)) 870.59/112.65 | ((g @ c5 @ c8) = (c5)) 870.59/112.65 | ((g @ c5 @ c8) = (c4)))) <= ((((g @ (s @ (s @ c5)) @ c8) = (c3))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl10054, zip_derived_cl21, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl17730, plain, 870.59/112.65 ((((g @ c5 @ c8) = (c4))) <= ((((g @ c5 @ c8) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10068])). 870.59/112.65 thf(zip_derived_cl95, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ X0 @ c8) != (c4)) | ((g @ X0 @ (s @ (s @ c5))) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl17736, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c5 @ (s @ (s @ c5))) = (c2)))) 870.59/112.65 <= ((((g @ c5 @ c8) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl17730, zip_derived_cl95])). 870.59/112.65 thf(zip_derived_cl17753, plain, 870.59/112.65 ((((g @ c5 @ (s @ (s @ c5))) = (c2))) <= ((((g @ c5 @ c8) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl17736])). 870.59/112.65 thf(zip_derived_cl27900, plain, 870.59/112.65 ((((c4) = (c2))) 870.59/112.65 <= ((((g @ c5 @ c8) = (c4))) & (((g @ c5 @ (s @ c5)) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl18506, zip_derived_cl17753])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('115', plain, 870.59/112.65 (~ (((g @ c5 @ c8) = (c4))) | ~ (((g @ c5 @ (s @ c5)) = (c2)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl27900, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.65 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl1978, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c3 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c5)) 870.59/112.65 | ((g @ c3 @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1947])). 870.59/112.65 thf(zip_derived_cl7110, plain, 870.59/112.65 ((((g @ c3 @ c8) = (c4)) 870.59/112.65 | ((g @ c3 @ (s @ (s @ c5))) = (c4)) 870.59/112.65 | ((g @ c3 @ (s @ (s @ c5))) = (c5)) 870.59/112.65 | ((g @ c3 @ (s @ (s @ c5))) = (c3)) 870.59/112.65 | ((g @ c4 @ (s @ (s @ c5))) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1978])). 870.59/112.65 thf(zip_derived_cl13261, plain, 870.59/112.65 ((((g @ c4 @ (s @ (s @ c5))) = (c3))) 870.59/112.65 <= ((((g @ c4 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7110])). 870.59/112.65 thf(zip_derived_cl84, plain, 870.59/112.65 (![X0 : $i]: (((g @ c4 @ X0) != (c3)) | ((g @ c3 @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl24570, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c3 @ (s @ (s @ c5))) = (c1)))) 870.59/112.65 <= ((((g @ c4 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl13261, zip_derived_cl84])). 870.59/112.65 thf(zip_derived_cl24591, plain, 870.59/112.65 ((((g @ c3 @ (s @ (s @ c5))) = (c1))) 870.59/112.65 <= ((((g @ c4 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl24570])). 870.59/112.65 thf(zip_derived_cl610, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c4 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c3)) 870.59/112.65 | ((g @ c3 @ X0) = (c5)) 870.59/112.65 | ((g @ c3 @ X0) = (c4)) 870.59/112.65 | ((g @ c3 @ X0) = (c2)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1954, plain, 870.59/112.65 ((((c2) != (c2)) 870.59/112.65 | ((g @ c3 @ c8) = (c4)) 870.59/112.65 | ((g @ c3 @ c8) = (c5)) 870.59/112.65 | ((g @ c3 @ c8) = (c3)) 870.59/112.65 | ((g @ c4 @ c8) = (c3)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl610, zip_derived_cl21])). 870.59/112.65 thf(zip_derived_cl1983, plain, 870.59/112.65 ((((g @ c4 @ c8) = (c3)) 870.59/112.65 | ((g @ c3 @ c8) = (c3)) 870.59/112.65 | ((g @ c3 @ c8) = (c5)) 870.59/112.65 | ((g @ c3 @ c8) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1954])). 870.59/112.65 thf(zip_derived_cl7217, plain, 870.59/112.65 ((((g @ c3 @ c8) = (c4))) <= ((((g @ c3 @ c8) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1983])). 870.59/112.65 thf(zip_derived_cl95, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ X0 @ c8) != (c4)) | ((g @ X0 @ (s @ (s @ c5))) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl7223, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c3 @ (s @ (s @ c5))) = (c2)))) 870.59/112.65 <= ((((g @ c3 @ c8) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7217, zip_derived_cl95])). 870.59/112.65 thf(zip_derived_cl7241, plain, 870.59/112.65 ((((g @ c3 @ (s @ (s @ c5))) = (c2))) <= ((((g @ c3 @ c8) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl7223])). 870.59/112.65 thf(zip_derived_cl30684, plain, 870.59/112.65 ((((c1) = (c2))) 870.59/112.65 <= ((((g @ c3 @ c8) = (c4))) & (((g @ c4 @ (s @ (s @ c5))) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl24591, zip_derived_cl7241])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('116', plain, 870.59/112.65 (~ (((g @ c3 @ c8) = (c4))) | ~ (((g @ c4 @ (s @ (s @ c5))) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl30684, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl1701, plain, 870.59/112.65 ((((g @ (s @ c5) @ c1) = (c2))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl635])). 870.59/112.65 thf(zip_derived_cl11, plain, 870.59/112.65 (![X0 : $i, X2 : $i]: 870.59/112.65 (((g @ (s @ X0) @ X2) = (c3)) | ((g @ X0 @ X2) != (c1)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1710, plain, 870.59/112.65 (((((c2) != (c1)) | ((g @ (s @ (s @ c5)) @ c1) = (c3)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl1701, zip_derived_cl11])). 870.59/112.65 thf(zip_derived_cl1722, plain, 870.59/112.65 (((((c2) != (c1)) | ((g @ (s @ (s @ c5)) @ c2) = (c3)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.65 inference('local_rewriting', [status(thm)], [zip_derived_cl1710])). 870.59/112.65 thf(zip_derived_cl5632, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c3))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1722])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl5637, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ (s @ c5) @ c2) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl5632, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl5654, plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c1))) <= ((((g @ (s @ (s @ c5)) @ c2) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl5637])). 870.59/112.65 thf(zip_derived_cl1359, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c1))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl515])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl1367, plain, 870.59/112.65 (((((c1) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl1359, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl4248, plain, 870.59/112.65 ((((g @ (s @ c5) @ c3) = (c4))) <= ((((g @ (s @ c5) @ c3) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1367])). 870.59/112.65 thf(zip_derived_cl97, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c3) != (c4)) | ((g @ X0 @ c2) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl4255, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ (s @ c5) @ c2) = (c2)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c3) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl4248, zip_derived_cl97])). 870.59/112.65 thf(zip_derived_cl4271, plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c2))) <= ((((g @ (s @ c5) @ c3) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4255])). 870.59/112.65 thf(zip_derived_cl9991, plain, 870.59/112.65 ((((c1) = (c2))) 870.59/112.65 <= ((((g @ (s @ c5) @ c3) = (c4))) & 870.59/112.65 (((g @ (s @ (s @ c5)) @ c2) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5654, zip_derived_cl4271])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('117', plain, 870.59/112.65 (~ (((g @ (s @ (s @ c5)) @ c2) = (c3))) | 870.59/112.65 ~ (((g @ (s @ c5) @ c3) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl9991, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl3891, plain, 870.59/112.65 ((((g @ c8 @ c3) = (c3))) <= ((((g @ c8 @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2818])). 870.59/112.65 thf(zip_derived_cl81, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ X0) != (c3)) | ((g @ (s @ (s @ c5)) @ X0) = (c1)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl3896, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ (s @ (s @ c5)) @ c3) = (c1)))) 870.59/112.65 <= ((((g @ c8 @ c3) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl3891, zip_derived_cl81])). 870.59/112.65 thf(zip_derived_cl3914, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c1))) <= ((((g @ c8 @ c3) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl3896])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl9528, plain, 870.59/112.65 (((((c1) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)))) <= ((((g @ c8 @ c3) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl3914, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf(zip_derived_cl9545, plain, 870.59/112.65 (((((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)))) <= ((((g @ c8 @ c3) = (c3))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl9528, zip_derived_cl4494])). 870.59/112.65 thf('118', plain, 870.59/112.65 ((((g @ (s @ c5) @ c3) = (c5))) | (((g @ (s @ c5) @ c3) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ c3) = (c4))) | (((g @ (s @ c5) @ c3) = (c2))) | 870.59/112.65 ~ (((g @ c8 @ c3) = (c3)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl9545])). 870.59/112.65 thf(zip_derived_cl4440, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4422])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl10085, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4440, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl10103, plain, 870.59/112.65 (((((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl10085, zip_derived_cl5803])). 870.59/112.65 thf('119', plain, 870.59/112.65 ((((g @ (s @ c5) @ c3) = (c5))) | (((g @ (s @ c5) @ c3) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ c3) = (c4))) | (((g @ (s @ c5) @ c3) = (c2))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ c4) = (c4)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10103])). 870.59/112.65 thf(zip_derived_cl2796, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl896])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl2800, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2796, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl7620, plain, 870.59/112.65 (((((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c2))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl2800, zip_derived_cl5803])). 870.59/112.65 thf('120', plain, 870.59/112.65 (~ (((g @ (s @ (s @ c5)) @ c3) = (c2))) | 870.59/112.65 (((g @ (s @ c5) @ c3) = (c4))) | (((g @ (s @ c5) @ c3) = (c5))) | 870.59/112.65 (((g @ (s @ c5) @ c3) = (c2))) | (((g @ (s @ c5) @ c3) = (c3)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7620])). 870.59/112.65 thf(zip_derived_cl1359, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c1))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl515])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1362, plain, 870.59/112.65 (((((c1) != (c3)) | ((g @ (s @ c5) @ c3) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl1359, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl1373, plain, 870.59/112.65 (((((c1) != (c3)) | ((g @ (s @ c5) @ c3) = (c3)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c1))))), 870.59/112.65 inference('local_rewriting', [status(thm)], [zip_derived_cl1362])). 870.59/112.65 thf(zip_derived_cl4344, plain, 870.59/112.65 ((((g @ (s @ c5) @ c3) = (c3))) <= ((((g @ (s @ c5) @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1373])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl4349, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c5 @ c3) = (c1)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c3) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl4344, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl4364, plain, 870.59/112.65 ((((g @ c5 @ c3) = (c1))) <= ((((g @ (s @ c5) @ c3) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4349])). 870.59/112.65 thf(zip_derived_cl2826, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c2))) <= ((((g @ c5 @ c2) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2282])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2834, plain, 870.59/112.65 (((((c2) != (c2)) | ((g @ c5 @ (s @ c2)) = (c4)))) 870.59/112.65 <= ((((g @ c5 @ c2) = (c2))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2826, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl2848, plain, 870.59/112.65 (((((c2) != (c2)) | ((g @ c5 @ c3) = (c4)))) 870.59/112.65 <= ((((g @ c5 @ c2) = (c2))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl2834, zip_derived_cl19])). 870.59/112.65 thf(zip_derived_cl2849, plain, 870.59/112.65 ((((g @ c5 @ c3) = (c4))) <= ((((g @ c5 @ c2) = (c2))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2848])). 870.59/112.65 thf(zip_derived_cl8147, plain, 870.59/112.65 ((((c1) = (c4))) 870.59/112.65 <= ((((g @ c5 @ c2) = (c2))) & (((g @ (s @ c5) @ c3) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4364, zip_derived_cl2849])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('121', plain, 870.59/112.65 (~ (((g @ c5 @ c2) = (c2))) | ~ (((g @ (s @ c5) @ c3) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl8147, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl2109, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c4))) <= ((((g @ c5 @ c2) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2070])). 870.59/112.65 thf(zip_derived_cl96, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c2) != (c4)) | ((g @ X0 @ c1) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl2112, plain, 870.59/112.65 (((((c4) != (c4)) | ((g @ c5 @ c1) = (c2)))) 870.59/112.65 <= ((((g @ c5 @ c2) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl2109, zip_derived_cl96])). 870.59/112.65 thf(zip_derived_cl2123, plain, 870.59/112.65 ((((g @ c5 @ c1) = (c2))) <= ((((g @ c5 @ c2) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2112])). 870.59/112.65 thf(zip_derived_cl1730, plain, 870.59/112.65 ((((g @ (s @ c5) @ c1) = (c3))) <= ((((g @ (s @ c5) @ c1) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl680])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1733, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ c5 @ c1) = (c1)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c1) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl1730, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl1746, plain, 870.59/112.65 ((((g @ c5 @ c1) = (c1))) <= ((((g @ (s @ c5) @ c1) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1733])). 870.59/112.65 thf(zip_derived_cl5896, plain, 870.59/112.65 ((((c2) = (c1))) 870.59/112.65 <= ((((g @ (s @ c5) @ c1) = (c3))) & (((g @ c5 @ c2) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2123, zip_derived_cl1746])). 870.59/112.65 thf(zip_derived_cl2123, plain, 870.59/112.65 ((((g @ c5 @ c1) = (c2))) <= ((((g @ c5 @ c2) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl2112])). 870.59/112.65 thf(zip_derived_cl6050, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c2))) 870.59/112.65 <= ((((g @ (s @ c5) @ c1) = (c3))) & (((g @ c5 @ c2) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5896, zip_derived_cl2123])). 870.59/112.65 thf(zip_derived_cl2109, plain, 870.59/112.65 ((((g @ c5 @ c2) = (c4))) <= ((((g @ c5 @ c2) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2070])). 870.59/112.65 thf(zip_derived_cl6086, plain, 870.59/112.65 ((((c4) = (c2))) 870.59/112.65 <= ((((g @ (s @ c5) @ c1) = (c3))) & (((g @ c5 @ c2) = (c4))))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl6050, zip_derived_cl2109])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('122', plain, 870.59/112.65 (~ (((g @ c5 @ c2) = (c4))) | ~ (((g @ (s @ c5) @ c1) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl6086, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl4364, plain, 870.59/112.65 ((((g @ c5 @ c3) = (c1))) <= ((((g @ (s @ c5) @ c3) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4349])). 870.59/112.65 thf(zip_derived_cl2279, plain, 870.59/112.65 ((((g @ c5 @ c3) = (c3))) <= ((((g @ c5 @ c3) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2101])). 870.59/112.65 thf(zip_derived_cl8148, plain, 870.59/112.65 ((((c1) = (c3))) 870.59/112.65 <= ((((g @ c5 @ c3) = (c3))) & (((g @ (s @ c5) @ c3) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4364, zip_derived_cl2279])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf('123', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c3) = (c3))) | ~ (((g @ c5 @ c3) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl8148, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl12065, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ c5) @ X0) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c2)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11968])). 870.59/112.65 thf(zip_derived_cl96, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c2) != (c4)) | ((g @ X0 @ c1) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl23641, plain, 870.59/112.65 ((((c4) != (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c2)) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c2)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c2)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c2)) = (c3)) 870.59/112.65 | ((g @ c8 @ c2) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c2) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c1) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl12065, zip_derived_cl96])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl23755, plain, 870.59/112.65 ((((c4) != (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ c8 @ c2) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c2) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c1) = (c2)))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl23641, zip_derived_cl19, zip_derived_cl19, 870.59/112.65 zip_derived_cl19, zip_derived_cl19])). 870.59/112.65 thf(zip_derived_cl23756, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c1) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c2) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c2) = (c5)) 870.59/112.65 | ((g @ c8 @ c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c3) = (c2)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl23755])). 870.59/112.65 thf(zip_derived_cl29602, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c1) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c1) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl23756])). 870.59/112.65 thf(zip_derived_cl344, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c1) = (c1))) <= ((((g @ c8 @ c1) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl328])). 870.59/112.65 thf(zip_derived_cl29607, plain, 870.59/112.65 ((((c2) = (c1))) 870.59/112.65 <= ((((g @ c8 @ c1) = (c3))) & (((g @ (s @ (s @ c5)) @ c1) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl29602, zip_derived_cl344])). 870.59/112.65 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.65 thf('124', plain, 870.59/112.65 (~ (((g @ (s @ (s @ c5)) @ c1) = (c2))) | ~ (((g @ c8 @ c1) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl29607, zip_derived_cl6754])). 870.59/112.65 thf(zip_derived_cl4271, plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c2))) <= ((((g @ (s @ c5) @ c3) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4255])). 870.59/112.65 thf(zip_derived_cl1701, plain, 870.59/112.65 ((((g @ (s @ c5) @ c1) = (c2))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl635])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1709, plain, 870.59/112.65 (((((c2) != (c2)) | ((g @ (s @ c5) @ (s @ c1)) = (c4)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl1701, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1720, plain, 870.59/112.65 (((((c2) != (c2)) | ((g @ (s @ c5) @ c2) = (c4)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl1709, zip_derived_cl15])). 870.59/112.65 thf(zip_derived_cl1721, plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c4))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1720])). 870.59/112.65 thf(zip_derived_cl9932, plain, 870.59/112.65 ((((c2) = (c4))) 870.59/112.65 <= ((((g @ (s @ c5) @ c1) = (c2))) & (((g @ (s @ c5) @ c3) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4271, zip_derived_cl1721])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('125', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c1) = (c2))) | ~ (((g @ (s @ c5) @ c3) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl9932, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl1123, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c2) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl457])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1126, plain, 870.59/112.65 (((((c4) != (c3)) | ((g @ (s @ c5) @ c2) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl1123, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl3583, plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c1))) <= ((((g @ (s @ c5) @ c2) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1126])). 870.59/112.65 thf(zip_derived_cl1721, plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c4))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1720])). 870.59/112.65 thf(zip_derived_cl5606, plain, 870.59/112.65 ((((c1) = (c4))) 870.59/112.65 <= ((((g @ (s @ c5) @ c1) = (c2))) & (((g @ (s @ c5) @ c2) = (c1))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl3583, zip_derived_cl1721])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('126', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c2) = (c1))) | ~ (((g @ (s @ c5) @ c1) = (c2)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl5606, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl4800, plain, 870.59/112.65 ((((g @ (s @ c5) @ c4) = (c2))) <= ((((g @ (s @ c5) @ c5) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4785])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl10544, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c5) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4800, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl10568, plain, 870.59/112.65 (((((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c5) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl10544, zip_derived_cl5803])). 870.59/112.65 thf('127', plain, 870.59/112.65 ((((g @ c5 @ c4) = (c5))) | (((g @ c5 @ c4) = (c2))) | 870.59/112.65 (((g @ c5 @ c4) = (c4))) | (((g @ c5 @ c4) = (c3))) | 870.59/112.65 ~ (((g @ (s @ c5) @ c5) = (c4)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10568])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl1820, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ (s @ c5)) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1771])). 870.59/112.65 thf(zip_derived_cl6131, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c4) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c4) = (c3)) 870.59/112.65 | ((g @ c8 @ c4) = (c3)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1820])). 870.59/112.65 thf(zip_derived_cl11561, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c4) = (c3))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6131])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl11570, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ (s @ c5) @ c4) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c4) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl11561, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl11594, plain, 870.59/112.65 ((((g @ (s @ c5) @ c4) = (c1))) <= ((((g @ (s @ (s @ c5)) @ c4) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11570])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl22484, plain, 870.59/112.65 (((((c1) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ (s @ c5)) @ c4) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl11594, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf(zip_derived_cl22508, plain, 870.59/112.65 (((((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ (s @ c5)) @ c4) = (c3))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl22484, zip_derived_cl4494])). 870.59/112.65 thf('128', plain, 870.59/112.65 ((((g @ c5 @ c4) = (c5))) | (((g @ c5 @ c4) = (c2))) | 870.59/112.65 (((g @ c5 @ c4) = (c4))) | (((g @ c5 @ c4) = (c3))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ c4) = (c3)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl22508])). 870.59/112.65 thf(zip_derived_cl29205, plain, 870.59/112.65 ((((g @ (s @ c5) @ c4) = (c1))) <= ((((g @ (s @ c5) @ c4) = (c1))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl23732])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl29214, plain, 870.59/112.65 (((((c1) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c4) = (c1))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl29205, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf(zip_derived_cl29238, plain, 870.59/112.65 (((((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c4) = (c1))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl29214, zip_derived_cl4494])). 870.59/112.65 thf('129', plain, 870.59/112.65 ((((g @ c5 @ c4) = (c5))) | (((g @ c5 @ c4) = (c2))) | 870.59/112.65 (((g @ c5 @ c4) = (c4))) | (((g @ c5 @ c4) = (c3))) | 870.59/112.65 ~ (((g @ (s @ c5) @ c4) = (c1)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl29238])). 870.59/112.65 thf(zip_derived_cl2768, plain, 870.59/112.65 ((((g @ (s @ c5) @ c4) = (c2))) <= ((((g @ (s @ c5) @ c4) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl2767])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl2779, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c4) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl2768, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl7404, plain, 870.59/112.65 (((((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c4) = (c2))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl2779, zip_derived_cl5803])). 870.59/112.65 thf(zip_derived_cl7408, plain, 870.59/112.65 ((((g @ c5 @ c4) = (c5))) <= ((((g @ c5 @ c4) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7404])). 870.59/112.65 thf(zip_derived_cl25, plain, 870.59/112.65 (![X11 : $i, X13 : $i]: 870.59/112.65 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl7415, plain, 870.59/112.65 (((((c5) != (c5)) | (zip_tseitin_2 @ c4 @ c5))) 870.59/112.65 <= ((((g @ c5 @ c4) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7408, zip_derived_cl25])). 870.59/112.65 thf(zip_derived_cl7433, plain, 870.59/112.65 (( (zip_tseitin_2 @ c4 @ c5)) <= ((((g @ c5 @ c4) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl7415])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl7447, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c4 @ c5) | (zip_tseitin_0 @ c4 @ c5))) 870.59/112.65 <= ((((g @ c5 @ c4) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7433, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl13926, plain, 870.59/112.65 (( (zip_tseitin_1 @ c4 @ c5)) <= (( (zip_tseitin_1 @ c4 @ c5)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7447])). 870.59/112.65 thf(zip_derived_cl4, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl13929, plain, 870.59/112.65 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ c4 @ c5)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl13926, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl49, plain, (((c4) != (c8))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 870.59/112.65 zip_derived_cl18])). 870.59/112.65 thf('130', plain, (~ ( (zip_tseitin_1 @ c4 @ c5))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl13929, zip_derived_cl49])). 870.59/112.65 thf(zip_derived_cl7433, plain, 870.59/112.65 (( (zip_tseitin_2 @ c4 @ c5)) <= ((((g @ c5 @ c4) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl7415])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl7449, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c4 @ c5) | (zip_tseitin_0 @ c4 @ c5))) 870.59/112.65 <= ((((g @ c5 @ c4) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7433, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl13937, plain, 870.59/112.65 (( (zip_tseitin_0 @ c4 @ c5)) <= (( (zip_tseitin_0 @ c4 @ c5)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7449])). 870.59/112.65 thf(zip_derived_cl1, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.65 thf(zip_derived_cl13938, plain, 870.59/112.65 ((((c5) = (c1))) <= (( (zip_tseitin_0 @ c4 @ c5)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl13937, zip_derived_cl1])). 870.59/112.65 thf(zip_derived_cl51, plain, (((c5) != (c1))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl35, zip_derived_cl19, zip_derived_cl18, 870.59/112.65 zip_derived_cl17])). 870.59/112.65 thf('131', plain, (~ ( (zip_tseitin_0 @ c4 @ c5))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl13938, zip_derived_cl51])). 870.59/112.65 thf('132', plain, 870.59/112.65 (~ (((g @ c5 @ c4) = (c5))) | ( (zip_tseitin_0 @ c4 @ c5)) | 870.59/112.65 ( (zip_tseitin_1 @ c4 @ c5))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7447])). 870.59/112.65 thf(zip_derived_cl4162, plain, 870.59/112.65 ((((g @ (s @ c5) @ c3) = (c2))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1361])). 870.59/112.65 thf(zip_derived_cl13, plain, 870.59/112.65 (![X3 : $i, X5 : $i]: 870.59/112.65 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl4172, plain, 870.59/112.65 (((((c2) != (c2)) | ((g @ (s @ c5) @ (s @ c3)) = (c4)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c3) = (c2))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl4162, zip_derived_cl13])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl4182, plain, 870.59/112.65 (((((c2) != (c2)) | ((g @ (s @ c5) @ c4) = (c4)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c3) = (c2))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl4172, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl4183, plain, 870.59/112.65 ((((g @ (s @ c5) @ c4) = (c4))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4182])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl9613, plain, 870.59/112.65 (((((c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4183, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf(zip_derived_cl9635, plain, 870.59/112.65 (((((g @ c5 @ c4) = (c3)) 870.59/112.65 | ((g @ c5 @ c4) = (c5)) 870.59/112.65 | ((g @ c5 @ c4) = (c4)) 870.59/112.65 | ((g @ c5 @ c4) = (c2)))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl9613, zip_derived_cl3704])). 870.59/112.65 thf('133', plain, 870.59/112.65 ((((g @ c5 @ c4) = (c5))) | (((g @ c5 @ c4) = (c2))) | 870.59/112.65 (((g @ c5 @ c4) = (c4))) | (((g @ c5 @ c4) = (c3))) | 870.59/112.65 ~ (((g @ (s @ c5) @ c3) = (c2)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl9635])). 870.59/112.65 thf(zip_derived_cl19141, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl10967])). 870.59/112.65 thf(zip_derived_cl10, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl19148, plain, 870.59/112.65 (((((c3) != (c3)) | ((g @ (s @ c5) @ (s @ c5)) = (c1)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl19141, zip_derived_cl10])). 870.59/112.65 thf(zip_derived_cl19168, plain, 870.59/112.65 ((((g @ (s @ c5) @ (s @ c5)) = (c1))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl19148])). 870.59/112.65 thf(zip_derived_cl4638, plain, 870.59/112.65 ((((g @ (s @ c5) @ (s @ c5)) = (c4))) <= ((((g @ (s @ c5) @ c5) = (c2))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4628])). 870.59/112.65 thf(zip_derived_cl28229, plain, 870.59/112.65 ((((c1) = (c4))) 870.59/112.65 <= ((((g @ (s @ c5) @ c5) = (c2))) & 870.59/112.65 (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl19168, zip_derived_cl4638])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('134', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c5) = (c2))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl28229, zip_derived_cl2825])). 870.59/112.65 thf(zip_derived_cl12065, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ (s @ c5) @ X0) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ X0)) = (c2)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl11968])). 870.59/112.65 thf(zip_derived_cl98, plain, 870.59/112.65 (![X0 : $i]: (((g @ X0 @ c4) != (c4)) | ((g @ X0 @ c3) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 870.59/112.65 thf(zip_derived_cl23643, plain, 870.59/112.65 ((((c4) != (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c4)) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c4)) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c4)) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ (s @ c4)) = (c3)) 870.59/112.65 | ((g @ c8 @ c4) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c2)))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl12065, zip_derived_cl98])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl23759, plain, 870.59/112.65 ((((c4) != (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c3)) 870.59/112.65 | ((g @ c8 @ c4) = (c3)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c4) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c3) = (c2)))), 870.59/112.65 inference('demod', [status(thm)], 870.59/112.65 [zip_derived_cl23643, zip_derived_cl17, zip_derived_cl17, 870.59/112.65 zip_derived_cl17, zip_derived_cl17])). 870.59/112.65 thf(zip_derived_cl23760, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c2)) 870.59/112.65 | ((g @ (s @ c5) @ c4) = (c1)) 870.59/112.65 | ((g @ (s @ (s @ c5)) @ c4) = (c5)) 870.59/112.65 | ((g @ c8 @ c4) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c5) = (c2)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl23759])). 870.59/112.65 thf('135', plain, 870.59/112.65 ((((g @ (s @ c5) @ c4) = (c1))) | (((g @ (s @ (s @ c5)) @ c4) = (c5))) | 870.59/112.65 (((g @ c8 @ c4) = (c3))) | (((g @ (s @ c5) @ c5) = (c5))) | 870.59/112.65 (((g @ (s @ c5) @ c5) = (c3))) | (((g @ (s @ c5) @ c5) = (c4))) | 870.59/112.65 (((g @ (s @ c5) @ c5) = (c2))) | (((g @ (s @ (s @ c5)) @ c3) = (c2)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl23760])). 870.59/112.65 thf(zip_derived_cl11504, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c4))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl6130])). 870.59/112.65 thf(zip_derived_cl2796, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c3) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl896])). 870.59/112.65 thf(zip_derived_cl11510, plain, 870.59/112.65 ((((c4) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c3) = (c2))) & 870.59/112.65 (((g @ (s @ (s @ c5)) @ c3) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], 870.59/112.65 [zip_derived_cl11504, zip_derived_cl2796])). 870.59/112.65 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.65 thf('136', plain, 870.59/112.65 (~ (((g @ (s @ (s @ c5)) @ c3) = (c2))) | 870.59/112.65 ~ (((g @ (s @ (s @ c5)) @ c3) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl11510, zip_derived_cl1663])). 870.59/112.65 thf(zip_derived_cl7624, plain, 870.59/112.65 ((((g @ (s @ c5) @ c3) = (c5))) <= ((((g @ (s @ c5) @ c3) = (c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl7620])). 870.59/112.65 thf(zip_derived_cl25, plain, 870.59/112.65 (![X11 : $i, X13 : $i]: 870.59/112.65 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl7631, plain, 870.59/112.65 (((((c5) != (c5)) | (zip_tseitin_2 @ c3 @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c3) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7624, zip_derived_cl25])). 870.59/112.65 thf(zip_derived_cl7650, plain, 870.59/112.65 (( (zip_tseitin_2 @ c3 @ (s @ c5))) <= ((((g @ (s @ c5) @ c3) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl7631])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl9017, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c3 @ (s @ c5)) | (zip_tseitin_0 @ c3 @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c3) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7650, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl16482, plain, 870.59/112.65 (( (zip_tseitin_0 @ c3 @ (s @ c5))) 870.59/112.65 <= (( (zip_tseitin_0 @ c3 @ (s @ c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl9017])). 870.59/112.65 thf(zip_derived_cl0, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.65 thf(zip_derived_cl16485, plain, 870.59/112.65 ((((c3) = (c1))) <= (( (zip_tseitin_0 @ c3 @ (s @ c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl16482, zip_derived_cl0])). 870.59/112.65 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.65 thf('137', plain, (~ ( (zip_tseitin_0 @ c3 @ (s @ c5)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl16485, zip_derived_cl4494])). 870.59/112.65 thf(zip_derived_cl7650, plain, 870.59/112.65 (( (zip_tseitin_2 @ c3 @ (s @ c5))) <= ((((g @ (s @ c5) @ c3) = (c5))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl7631])). 870.59/112.65 thf(zip_derived_cl6, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.65 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.65 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.65 thf(zip_derived_cl9015, plain, 870.59/112.65 ((( (zip_tseitin_1 @ c3 @ (s @ c5)) | (zip_tseitin_0 @ c3 @ (s @ c5)))) 870.59/112.65 <= ((((g @ (s @ c5) @ c3) = (c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl7650, zip_derived_cl6])). 870.59/112.65 thf(zip_derived_cl16473, plain, 870.59/112.65 (( (zip_tseitin_1 @ c3 @ (s @ c5))) 870.59/112.65 <= (( (zip_tseitin_1 @ c3 @ (s @ c5))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl9015])). 870.59/112.65 thf(zip_derived_cl4, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.65 thf(zip_derived_cl16476, plain, 870.59/112.65 ((((c3) = (c8))) <= (( (zip_tseitin_1 @ c3 @ (s @ c5))))), 870.59/112.65 inference('sup-', [status(thm)], [zip_derived_cl16473, zip_derived_cl4])). 870.59/112.65 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl16556, plain, 870.59/112.65 ((((c1) = (s @ c3))) <= (( (zip_tseitin_1 @ c3 @ (s @ c5))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl16476, zip_derived_cl14])). 870.59/112.65 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl16565, plain, 870.59/112.65 ((((c1) = (c4))) <= (( (zip_tseitin_1 @ c3 @ (s @ c5))))), 870.59/112.65 inference('demod', [status(thm)], [zip_derived_cl16556, zip_derived_cl18])). 870.59/112.65 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.65 thf('138', plain, (~ ( (zip_tseitin_1 @ c3 @ (s @ c5)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl16565, zip_derived_cl2825])). 870.59/112.65 thf('139', plain, 870.59/112.65 (~ (((g @ (s @ c5) @ c3) = (c5))) | ( (zip_tseitin_1 @ c3 @ (s @ c5))) | 870.59/112.65 ( (zip_tseitin_0 @ c3 @ (s @ c5)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl9015])). 870.59/112.65 thf('140', plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c1) = (c2))) | 870.59/112.65 (((g @ (s @ (s @ c5)) @ c2) = (c5))) | (((g @ (s @ c5) @ c3) = (c5))) | 870.59/112.65 (((g @ (s @ c5) @ c3) = (c3))) | (((g @ (s @ c5) @ c3) = (c4))) | 870.59/112.65 (((g @ (s @ c5) @ c3) = (c2))) | (((g @ (s @ c5) @ c2) = (c1))) | 870.59/112.65 (((g @ c8 @ c2) = (c3)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl23756])). 870.59/112.65 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl304, plain, 870.59/112.65 (![X0 : $i]: 870.59/112.65 (((g @ c8 @ (s @ X0)) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c4)) 870.59/112.65 | ((g @ c8 @ X0) = (c5)) 870.59/112.65 | ((g @ c8 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl267])). 870.59/112.65 thf(zip_derived_cl1508, plain, 870.59/112.65 ((((g @ c8 @ c3) = (c4)) 870.59/112.65 | ((g @ c8 @ c2) = (c3)) 870.59/112.65 | ((g @ c8 @ c2) = (c5)) 870.59/112.65 | ((g @ c8 @ c2) = (c4)))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl304])). 870.59/112.65 thf(zip_derived_cl5058, plain, 870.59/112.65 ((((g @ c8 @ c2) = (c4))) <= ((((g @ c8 @ c2) = (c4))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1508])). 870.59/112.65 thf(zip_derived_cl1290, plain, 870.59/112.65 ((((g @ c8 @ c2) = (c3))) <= ((((g @ c8 @ c2) = (c3))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl1143])). 870.59/112.65 thf(zip_derived_cl5061, plain, 870.59/112.65 ((((c4) = (c3))) <= ((((g @ c8 @ c2) = (c3))) & (((g @ c8 @ c2) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl5058, zip_derived_cl1290])). 870.59/112.65 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.65 thf('141', plain, (~ (((g @ c8 @ c2) = (c3))) | ~ (((g @ c8 @ c2) = (c4)))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl5061, zip_derived_cl3704])). 870.59/112.65 thf(zip_derived_cl1139, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c1) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl1127])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl3713, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl1139, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl3728, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl3713, zip_derived_cl20])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl9396, plain, 870.59/112.65 (((((g @ (s @ c5) @ c1) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl3728, zip_derived_cl5803])). 870.59/112.65 thf('142', plain, 870.59/112.65 (~ (((g @ (s @ (s @ c5)) @ c2) = (c4))) | 870.59/112.65 (((g @ (s @ c5) @ c1) = (c2))) | (((g @ (s @ c5) @ c1) = (c5))) | 870.59/112.65 (((g @ (s @ c5) @ c1) = (c3)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl9396])). 870.59/112.65 thf(zip_derived_cl29602, plain, 870.59/112.65 ((((g @ (s @ (s @ c5)) @ c1) = (c2))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c1) = (c2))))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl23756])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl29610, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c4)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c1) = (c2))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl29602, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 870.59/112.65 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl29637, plain, 870.59/112.65 (((((g @ (s @ c5) @ c1) = (c3)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c5)) 870.59/112.65 | ((g @ (s @ c5) @ c1) = (c2)))) 870.59/112.65 <= ((((g @ (s @ (s @ c5)) @ c1) = (c2))))), 870.59/112.65 inference('simplify_reflect-', [status(thm)], 870.59/112.65 [zip_derived_cl29610, zip_derived_cl20, zip_derived_cl5803])). 870.59/112.65 thf('143', plain, 870.59/112.65 ((((g @ (s @ c5) @ c1) = (c5))) | (((g @ (s @ c5) @ c1) = (c3))) | 870.59/112.65 (((g @ (s @ c5) @ c1) = (c2))) | ~ (((g @ (s @ (s @ c5)) @ c1) = (c2)))), 870.59/112.65 inference('split', [status(esa)], [zip_derived_cl29637])). 870.59/112.65 thf(zip_derived_cl4271, plain, 870.59/112.65 ((((g @ (s @ c5) @ c2) = (c2))) <= ((((g @ (s @ c5) @ c3) = (c4))))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl4255])). 870.59/112.65 thf(zip_derived_cl165, plain, 870.59/112.65 (![X0 : $i, X1 : $i]: 870.59/112.65 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.65 | ((g @ X1 @ X0) = (c2)) 870.59/112.65 | ((g @ X1 @ X0) = (c4)) 870.59/112.65 | ((g @ X1 @ X0) = (c5)) 870.59/112.65 | ((g @ X1 @ X0) = (c3)))), 870.59/112.65 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.65 thf(zip_derived_cl9933, plain, 870.59/112.65 (((((c2) = (c3)) 870.59/112.65 | ((g @ c5 @ c2) = (c3)) 870.59/112.65 | ((g @ c5 @ c2) = (c5)) 870.59/112.65 | ((g @ c5 @ c2) = (c4)) 870.59/112.65 | ((g @ c5 @ c2) = (c2)))) <= ((((g @ (s @ c5) @ c3) = (c4))))), 870.59/112.65 inference('sup+', [status(thm)], [zip_derived_cl4271, zip_derived_cl165])). 870.59/112.65 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.65 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.65 thf(zip_derived_cl9957, plain, 870.59/112.65 (((((g @ c5 @ c2) = (c3)) 870.59/112.65 | ((g @ c5 @ c2) = (c5)) 870.59/112.66 | ((g @ c5 @ c2) = (c4)) 870.59/112.66 | ((g @ c5 @ c2) = (c2)))) <= ((((g @ (s @ c5) @ c3) = (c4))))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl9933, zip_derived_cl5803])). 870.59/112.66 thf('144', plain, 870.59/112.66 ((((g @ c5 @ c2) = (c5))) | (((g @ c5 @ c2) = (c2))) | 870.59/112.66 (((g @ c5 @ c2) = (c3))) | (((g @ c5 @ c2) = (c4))) | 870.59/112.66 ~ (((g @ (s @ c5) @ c3) = (c4)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl9957])). 870.59/112.66 thf(zip_derived_cl5654, plain, 870.59/112.66 ((((g @ (s @ c5) @ c2) = (c1))) <= ((((g @ (s @ (s @ c5)) @ c2) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl5637])). 870.59/112.66 thf(zip_derived_cl165, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.66 | ((g @ X1 @ X0) = (c2)) 870.59/112.66 | ((g @ X1 @ X0) = (c4)) 870.59/112.66 | ((g @ X1 @ X0) = (c5)) 870.59/112.66 | ((g @ X1 @ X0) = (c3)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.66 thf(zip_derived_cl9997, plain, 870.59/112.66 (((((c1) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c5)) 870.59/112.66 | ((g @ c5 @ c2) = (c4)) 870.59/112.66 | ((g @ c5 @ c2) = (c2)))) <= ((((g @ (s @ (s @ c5)) @ c2) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl5654, zip_derived_cl165])). 870.59/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.66 thf(zip_derived_cl10021, plain, 870.59/112.66 (((((g @ c5 @ c2) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c5)) 870.59/112.66 | ((g @ c5 @ c2) = (c4)) 870.59/112.66 | ((g @ c5 @ c2) = (c2)))) <= ((((g @ (s @ (s @ c5)) @ c2) = (c3))))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl9997, zip_derived_cl4494])). 870.59/112.66 thf('145', plain, 870.59/112.66 ((((g @ c5 @ c2) = (c5))) | (((g @ c5 @ c2) = (c2))) | 870.59/112.66 (((g @ c5 @ c2) = (c3))) | (((g @ c5 @ c2) = (c4))) | 870.59/112.66 ~ (((g @ (s @ (s @ c5)) @ c2) = (c3)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl10021])). 870.59/112.66 thf(zip_derived_cl3583, plain, 870.59/112.66 ((((g @ (s @ c5) @ c2) = (c1))) <= ((((g @ (s @ c5) @ c2) = (c1))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl1126])). 870.59/112.66 thf(zip_derived_cl165, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.66 | ((g @ X1 @ X0) = (c2)) 870.59/112.66 | ((g @ X1 @ X0) = (c4)) 870.59/112.66 | ((g @ X1 @ X0) = (c5)) 870.59/112.66 | ((g @ X1 @ X0) = (c3)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.66 thf(zip_derived_cl3586, plain, 870.59/112.66 (((((c1) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c5)) 870.59/112.66 | ((g @ c5 @ c2) = (c4)) 870.59/112.66 | ((g @ c5 @ c2) = (c2)))) <= ((((g @ (s @ c5) @ c2) = (c1))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl3583, zip_derived_cl165])). 870.59/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.66 thf(zip_derived_cl9138, plain, 870.59/112.66 (((((g @ c5 @ c2) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c5)) 870.59/112.66 | ((g @ c5 @ c2) = (c4)) 870.59/112.66 | ((g @ c5 @ c2) = (c2)))) <= ((((g @ (s @ c5) @ c2) = (c1))))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl3586, zip_derived_cl4494])). 870.59/112.66 thf('146', plain, 870.59/112.66 (~ (((g @ (s @ c5) @ c2) = (c1))) | (((g @ c5 @ c2) = (c4))) | 870.59/112.66 (((g @ c5 @ c2) = (c5))) | (((g @ c5 @ c2) = (c3))) | 870.59/112.66 (((g @ c5 @ c2) = (c2)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl9138])). 870.59/112.66 thf(zip_derived_cl3552, plain, 870.59/112.66 ((((g @ (s @ c5) @ c2) = (c2))) <= ((((g @ (s @ c5) @ c2) = (c2))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl1125])). 870.59/112.66 thf(zip_derived_cl165, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.66 | ((g @ X1 @ X0) = (c2)) 870.59/112.66 | ((g @ X1 @ X0) = (c4)) 870.59/112.66 | ((g @ X1 @ X0) = (c5)) 870.59/112.66 | ((g @ X1 @ X0) = (c3)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.66 thf(zip_derived_cl3557, plain, 870.59/112.66 (((((c2) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c5)) 870.59/112.66 | ((g @ c5 @ c2) = (c4)) 870.59/112.66 | ((g @ c5 @ c2) = (c2)))) <= ((((g @ (s @ c5) @ c2) = (c2))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl3552, zip_derived_cl165])). 870.59/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.66 thf(zip_derived_cl8854, plain, 870.59/112.66 (((((g @ c5 @ c2) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c5)) 870.59/112.66 | ((g @ c5 @ c2) = (c4)) 870.59/112.66 | ((g @ c5 @ c2) = (c2)))) <= ((((g @ (s @ c5) @ c2) = (c2))))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl3557, zip_derived_cl5803])). 870.59/112.66 thf(zip_derived_cl8858, plain, 870.59/112.66 ((((g @ c5 @ c2) = (c5))) <= ((((g @ c5 @ c2) = (c5))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl8854])). 870.59/112.66 thf(zip_derived_cl25, plain, 870.59/112.66 (![X11 : $i, X13 : $i]: 870.59/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl8867, plain, 870.59/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c2 @ c5))) 870.59/112.66 <= ((((g @ c5 @ c2) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl8858, zip_derived_cl25])). 870.59/112.66 thf(zip_derived_cl8889, plain, 870.59/112.66 (( (zip_tseitin_2 @ c2 @ c5)) <= ((((g @ c5 @ c2) = (c5))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl8867])). 870.59/112.66 thf(zip_derived_cl6, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.66 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.66 thf(zip_derived_cl8908, plain, 870.59/112.66 ((( (zip_tseitin_1 @ c2 @ c5) | (zip_tseitin_0 @ c2 @ c5))) 870.59/112.66 <= ((((g @ c5 @ c2) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl8889, zip_derived_cl6])). 870.59/112.66 thf(zip_derived_cl16362, plain, 870.59/112.66 (( (zip_tseitin_0 @ c2 @ c5)) <= (( (zip_tseitin_0 @ c2 @ c5)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl8908])). 870.59/112.66 thf(zip_derived_cl1, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.66 thf(zip_derived_cl16363, plain, 870.59/112.66 ((((c5) = (c1))) <= (( (zip_tseitin_0 @ c2 @ c5)))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl16362, zip_derived_cl1])). 870.59/112.66 thf(zip_derived_cl51, plain, (((c5) != (c1))), 870.59/112.66 inference('demod', [status(thm)], 870.59/112.66 [zip_derived_cl35, zip_derived_cl19, zip_derived_cl18, 870.59/112.66 zip_derived_cl17])). 870.59/112.66 thf('147', plain, (~ ( (zip_tseitin_0 @ c2 @ c5))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl16363, zip_derived_cl51])). 870.59/112.66 thf(zip_derived_cl8889, plain, 870.59/112.66 (( (zip_tseitin_2 @ c2 @ c5)) <= ((((g @ c5 @ c2) = (c5))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl8867])). 870.59/112.66 thf(zip_derived_cl6, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.66 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.66 thf(zip_derived_cl8906, plain, 870.59/112.66 ((( (zip_tseitin_1 @ c2 @ c5) | (zip_tseitin_0 @ c2 @ c5))) 870.59/112.66 <= ((((g @ c5 @ c2) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl8889, zip_derived_cl6])). 870.59/112.66 thf(zip_derived_cl16353, plain, 870.59/112.66 (( (zip_tseitin_1 @ c2 @ c5)) <= (( (zip_tseitin_1 @ c2 @ c5)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl8906])). 870.59/112.66 thf(zip_derived_cl4, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.66 thf(zip_derived_cl16356, plain, 870.59/112.66 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ c2 @ c5)))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl16353, zip_derived_cl4])). 870.59/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl16440, plain, 870.59/112.66 ((((c1) = (s @ c2))) <= (( (zip_tseitin_1 @ c2 @ c5)))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl16356, zip_derived_cl14])). 870.59/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl16449, plain, 870.59/112.66 ((((c1) = (c3))) <= (( (zip_tseitin_1 @ c2 @ c5)))), 870.59/112.66 inference('demod', [status(thm)], [zip_derived_cl16440, zip_derived_cl19])). 870.59/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.66 thf('148', plain, (~ ( (zip_tseitin_1 @ c2 @ c5))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl16449, zip_derived_cl4494])). 870.59/112.66 thf('149', plain, 870.59/112.66 (~ (((g @ c5 @ c2) = (c5))) | ( (zip_tseitin_1 @ c2 @ c5)) | 870.59/112.66 ( (zip_tseitin_0 @ c2 @ c5))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl8906])). 870.59/112.66 thf(zip_derived_cl1721, plain, 870.59/112.66 ((((g @ (s @ c5) @ c2) = (c4))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl1720])). 870.59/112.66 thf(zip_derived_cl165, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 (((g @ (s @ X1) @ X0) = (c3)) 870.59/112.66 | ((g @ X1 @ X0) = (c2)) 870.59/112.66 | ((g @ X1 @ X0) = (c4)) 870.59/112.66 | ((g @ X1 @ X0) = (c5)) 870.59/112.66 | ((g @ X1 @ X0) = (c3)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl136])). 870.59/112.66 thf(zip_derived_cl5599, plain, 870.59/112.66 (((((c4) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c5)) 870.59/112.66 | ((g @ c5 @ c2) = (c4)) 870.59/112.66 | ((g @ c5 @ c2) = (c2)))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl1721, zip_derived_cl165])). 870.59/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.66 thf(zip_derived_cl5619, plain, 870.59/112.66 (((((g @ c5 @ c2) = (c3)) 870.59/112.66 | ((g @ c5 @ c2) = (c5)) 870.59/112.66 | ((g @ c5 @ c2) = (c4)) 870.59/112.66 | ((g @ c5 @ c2) = (c2)))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl5599, zip_derived_cl3704])). 870.59/112.66 thf('150', plain, 870.59/112.66 (~ (((g @ (s @ c5) @ c1) = (c2))) | (((g @ c5 @ c2) = (c4))) | 870.59/112.66 (((g @ c5 @ c2) = (c5))) | (((g @ c5 @ c2) = (c3))) | 870.59/112.66 (((g @ c5 @ c2) = (c2)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl5619])). 870.59/112.66 thf(zip_derived_cl5477, plain, 870.59/112.66 ((((g @ c5 @ c1) = (c3))) <= ((((g @ c5 @ c1) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl1718])). 870.59/112.66 thf(zip_derived_cl2123, plain, 870.59/112.66 ((((g @ c5 @ c1) = (c2))) <= ((((g @ c5 @ c2) = (c4))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl2112])). 870.59/112.66 thf(zip_derived_cl5904, plain, 870.59/112.66 ((((c3) = (c2))) <= ((((g @ c5 @ c2) = (c4))) & (((g @ c5 @ c1) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl5477, zip_derived_cl2123])). 870.59/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.66 thf('151', plain, (~ (((g @ c5 @ c2) = (c4))) | ~ (((g @ c5 @ c1) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl5904, zip_derived_cl5803])). 870.59/112.66 thf(zip_derived_cl6631, plain, 870.59/112.66 ((((g @ c3 @ c3) = (c3))) <= ((((g @ c3 @ c3) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl2521])). 870.59/112.66 thf(zip_derived_cl2096, plain, 870.59/112.66 ((((g @ c3 @ c3) = (c1))) <= ((((g @ c4 @ c3) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl2083])). 870.59/112.66 thf(zip_derived_cl6636, plain, 870.59/112.66 ((((c3) = (c1))) <= ((((g @ c4 @ c3) = (c3))) & (((g @ c3 @ c3) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl6631, zip_derived_cl2096])). 870.59/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.66 thf('152', plain, (~ (((g @ c4 @ c3) = (c3))) | ~ (((g @ c3 @ c3) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl6636, zip_derived_cl4494])). 870.59/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl2040, plain, 870.59/112.66 (![X0 : $i]: 870.59/112.66 (((g @ c4 @ (s @ X0)) = (c4)) 870.59/112.66 | ((g @ c5 @ X0) = (c3)) 870.59/112.66 | ((g @ c4 @ X0) = (c3)) 870.59/112.66 | ((g @ c4 @ X0) = (c5)) 870.59/112.66 | ((g @ c4 @ X0) = (c4)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl2010])). 870.59/112.66 thf(zip_derived_cl7580, plain, 870.59/112.66 ((((g @ c4 @ c4) = (c4)) 870.59/112.66 | ((g @ c4 @ c3) = (c4)) 870.59/112.66 | ((g @ c4 @ c3) = (c5)) 870.59/112.66 | ((g @ c4 @ c3) = (c3)) 870.59/112.66 | ((g @ c5 @ c3) = (c3)))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl2040])). 870.59/112.66 thf('153', plain, 870.59/112.66 ((((g @ c5 @ c3) = (c3))) | (((g @ c4 @ c3) = (c3))) | 870.59/112.66 (((g @ c4 @ c3) = (c5))) | (((g @ c4 @ c4) = (c4))) | 870.59/112.66 (((g @ c4 @ c3) = (c4)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7580])). 870.59/112.66 thf(zip_derived_cl14174, plain, 870.59/112.66 ((((g @ c4 @ c3) = (c5))) <= ((((g @ c4 @ c3) = (c5))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7580])). 870.59/112.66 thf(zip_derived_cl25, plain, 870.59/112.66 (![X11 : $i, X13 : $i]: 870.59/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl14186, plain, 870.59/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c3 @ c4))) 870.59/112.66 <= ((((g @ c4 @ c3) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl14174, zip_derived_cl25])). 870.59/112.66 thf(zip_derived_cl14215, plain, 870.59/112.66 (( (zip_tseitin_2 @ c3 @ c4)) <= ((((g @ c4 @ c3) = (c5))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl14186])). 870.59/112.66 thf(zip_derived_cl6, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.66 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.66 thf(zip_derived_cl14279, plain, 870.59/112.66 ((( (zip_tseitin_1 @ c3 @ c4) | (zip_tseitin_0 @ c3 @ c4))) 870.59/112.66 <= ((((g @ c4 @ c3) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl14215, zip_derived_cl6])). 870.59/112.66 thf(zip_derived_cl25197, plain, 870.59/112.66 (( (zip_tseitin_1 @ c3 @ c4)) <= (( (zip_tseitin_1 @ c3 @ c4)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl14279])). 870.59/112.66 thf(zip_derived_cl3, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.66 thf(zip_derived_cl25201, plain, 870.59/112.66 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ c3 @ c4)))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl25197, zip_derived_cl3])). 870.59/112.66 thf(zip_derived_cl49, plain, (((c4) != (c8))), 870.59/112.66 inference('demod', [status(thm)], 870.59/112.66 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 870.59/112.66 zip_derived_cl18])). 870.59/112.66 thf('154', plain, (~ ( (zip_tseitin_1 @ c3 @ c4))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl25201, zip_derived_cl49])). 870.59/112.66 thf(zip_derived_cl14215, plain, 870.59/112.66 (( (zip_tseitin_2 @ c3 @ c4)) <= ((((g @ c4 @ c3) = (c5))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl14186])). 870.59/112.66 thf(zip_derived_cl6, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.66 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.66 thf(zip_derived_cl14281, plain, 870.59/112.66 ((( (zip_tseitin_1 @ c3 @ c4) | (zip_tseitin_0 @ c3 @ c4))) 870.59/112.66 <= ((((g @ c4 @ c3) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl14215, zip_derived_cl6])). 870.59/112.66 thf(zip_derived_cl25208, plain, 870.59/112.66 (( (zip_tseitin_0 @ c3 @ c4)) <= (( (zip_tseitin_0 @ c3 @ c4)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl14281])). 870.59/112.66 thf(zip_derived_cl1, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.66 thf(zip_derived_cl25209, plain, 870.59/112.66 ((((c4) = (c1))) <= (( (zip_tseitin_0 @ c3 @ c4)))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl25208, zip_derived_cl1])). 870.59/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.66 thf('155', plain, (~ ( (zip_tseitin_0 @ c3 @ c4))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl25209, zip_derived_cl2825])). 870.59/112.66 thf('156', plain, 870.59/112.66 (~ (((g @ c4 @ c3) = (c5))) | ( (zip_tseitin_0 @ c3 @ c4)) | 870.59/112.66 ( (zip_tseitin_1 @ c3 @ c4))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl14279])). 870.59/112.66 thf(zip_derived_cl4364, plain, 870.59/112.66 ((((g @ c5 @ c3) = (c1))) <= ((((g @ (s @ c5) @ c3) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl4349])). 870.59/112.66 thf(zip_derived_cl2888, plain, 870.59/112.66 ((((g @ c5 @ c4) = (c4))) <= ((((g @ c5 @ c4) = (c4))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl2297])). 870.59/112.66 thf(zip_derived_cl98, plain, 870.59/112.66 (![X0 : $i]: (((g @ X0 @ c4) != (c4)) | ((g @ X0 @ c3) = (c2)))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 870.59/112.66 thf(zip_derived_cl2892, plain, 870.59/112.66 (((((c4) != (c4)) | ((g @ c5 @ c3) = (c2)))) 870.59/112.66 <= ((((g @ c5 @ c4) = (c4))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl2888, zip_derived_cl98])). 870.59/112.66 thf(zip_derived_cl2904, plain, 870.59/112.66 ((((g @ c5 @ c3) = (c2))) <= ((((g @ c5 @ c4) = (c4))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl2892])). 870.59/112.66 thf(zip_derived_cl8146, plain, 870.59/112.66 ((((c1) = (c2))) 870.59/112.66 <= ((((g @ c5 @ c4) = (c4))) & (((g @ (s @ c5) @ c3) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl4364, zip_derived_cl2904])). 870.59/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.66 thf('157', plain, 870.59/112.66 (~ (((g @ c5 @ c4) = (c4))) | ~ (((g @ (s @ c5) @ c3) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl8146, zip_derived_cl6754])). 870.59/112.66 thf(zip_derived_cl2904, plain, 870.59/112.66 ((((g @ c5 @ c3) = (c2))) <= ((((g @ c5 @ c4) = (c4))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl2892])). 870.59/112.66 thf(zip_derived_cl2279, plain, 870.59/112.66 ((((g @ c5 @ c3) = (c3))) <= ((((g @ c5 @ c3) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl2101])). 870.59/112.66 thf(zip_derived_cl7064, plain, 870.59/112.66 ((((c2) = (c3))) <= ((((g @ c5 @ c3) = (c3))) & (((g @ c5 @ c4) = (c4))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl2904, zip_derived_cl2279])). 870.59/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.66 thf('158', plain, (~ (((g @ c5 @ c4) = (c4))) | ~ (((g @ c5 @ c3) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl7064, zip_derived_cl5803])). 870.59/112.66 thf(zip_derived_cl2904, plain, 870.59/112.66 ((((g @ c5 @ c3) = (c2))) <= ((((g @ c5 @ c4) = (c4))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl2892])). 870.59/112.66 thf(zip_derived_cl2849, plain, 870.59/112.66 ((((g @ c5 @ c3) = (c4))) <= ((((g @ c5 @ c2) = (c2))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl2848])). 870.59/112.66 thf(zip_derived_cl7063, plain, 870.59/112.66 ((((c2) = (c4))) <= ((((g @ c5 @ c2) = (c2))) & (((g @ c5 @ c4) = (c4))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl2904, zip_derived_cl2849])). 870.59/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.66 thf('159', plain, (~ (((g @ c5 @ c2) = (c2))) | ~ (((g @ c5 @ c4) = (c4)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl7063, zip_derived_cl1663])). 870.59/112.66 thf(zip_derived_cl14115, plain, 870.59/112.66 ((((g @ c4 @ c2) = (c4))) <= ((((g @ c4 @ c2) = (c4))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7579])). 870.59/112.66 thf(zip_derived_cl13295, plain, 870.59/112.66 ((((g @ c4 @ c2) = (c3))) <= ((((g @ c4 @ c2) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7112])). 870.59/112.66 thf(zip_derived_cl14119, plain, 870.59/112.66 ((((c4) = (c3))) <= ((((g @ c4 @ c2) = (c3))) & (((g @ c4 @ c2) = (c4))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl14115, zip_derived_cl13295])). 870.59/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.66 thf('160', plain, (~ (((g @ c4 @ c2) = (c4))) | ~ (((g @ c4 @ c2) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl14119, zip_derived_cl3704])). 870.59/112.66 thf(zip_derived_cl13295, plain, 870.59/112.66 ((((g @ c4 @ c2) = (c3))) <= ((((g @ c4 @ c2) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7112])). 870.59/112.66 thf(zip_derived_cl2561, plain, 870.59/112.66 ((((g @ c4 @ c2) = (c1))) <= ((((g @ c5 @ c2) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl2547])). 870.59/112.66 thf(zip_derived_cl13301, plain, 870.59/112.66 ((((c3) = (c1))) <= ((((g @ c5 @ c2) = (c3))) & (((g @ c4 @ c2) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl13295, zip_derived_cl2561])). 870.59/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.66 thf('161', plain, (~ (((g @ c5 @ c2) = (c3))) | ~ (((g @ c4 @ c2) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl13301, zip_derived_cl4494])). 870.59/112.66 thf(zip_derived_cl3914, plain, 870.59/112.66 ((((g @ (s @ (s @ c5)) @ c3) = (c1))) <= ((((g @ c8 @ c3) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl3896])). 870.59/112.66 thf(zip_derived_cl2796, plain, 870.59/112.66 ((((g @ (s @ (s @ c5)) @ c3) = (c2))) 870.59/112.66 <= ((((g @ (s @ (s @ c5)) @ c3) = (c2))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl896])). 870.59/112.66 thf(zip_derived_cl9526, plain, 870.59/112.66 ((((c1) = (c2))) 870.59/112.66 <= ((((g @ (s @ (s @ c5)) @ c3) = (c2))) & (((g @ c8 @ c3) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl3914, zip_derived_cl2796])). 870.59/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.66 thf('162', plain, 870.59/112.66 (~ (((g @ (s @ (s @ c5)) @ c3) = (c2))) | ~ (((g @ c8 @ c3) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl9526, zip_derived_cl6754])). 870.59/112.66 thf(zip_derived_cl18534, plain, 870.59/112.66 ((((g @ c5 @ c5) = (c2))) <= ((((g @ c5 @ (s @ c5)) = (c4))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl18519])). 870.59/112.66 thf(zip_derived_cl10209, plain, 870.59/112.66 ((((g @ c5 @ c5) = (c3))) <= ((((g @ c5 @ c5) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl10206])). 870.59/112.66 thf(zip_derived_cl19214, plain, 870.59/112.66 ((((c2) = (c3))) 870.59/112.66 <= ((((g @ c5 @ c5) = (c3))) & (((g @ c5 @ (s @ c5)) = (c4))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl18534, zip_derived_cl10209])). 870.59/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.66 thf('163', plain, 870.59/112.66 (~ (((g @ c5 @ c5) = (c3))) | ~ (((g @ c5 @ (s @ c5)) = (c4)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl19214, zip_derived_cl5803])). 870.59/112.66 thf(zip_derived_cl10209, plain, 870.59/112.66 ((((g @ c5 @ c5) = (c3))) <= ((((g @ c5 @ c5) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl10206])). 870.59/112.66 thf(zip_derived_cl7354, plain, 870.59/112.66 ((((g @ c5 @ c5) = (c4))) <= ((((g @ c5 @ c4) = (c2))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl7353])). 870.59/112.66 thf(zip_derived_cl10245, plain, 870.59/112.66 ((((c3) = (c4))) <= ((((g @ c5 @ c4) = (c2))) & (((g @ c5 @ c5) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl10209, zip_derived_cl7354])). 870.59/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.66 thf('164', plain, (~ (((g @ c5 @ c5) = (c3))) | ~ (((g @ c5 @ c4) = (c2)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl10245, zip_derived_cl3704])). 870.59/112.66 thf(zip_derived_cl14262, plain, 870.59/112.66 ((((g @ c4 @ c4) = (c2))) <= ((((g @ c4 @ c5) = (c4))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl14245])). 870.59/112.66 thf(zip_derived_cl13353, plain, 870.59/112.66 ((((g @ c4 @ c4) = (c3))) <= ((((g @ c4 @ c4) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7114])). 870.59/112.66 thf(zip_derived_cl17307, plain, 870.59/112.66 ((((c2) = (c3))) <= ((((g @ c4 @ c4) = (c3))) & (((g @ c4 @ c5) = (c4))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl14262, zip_derived_cl13353])). 870.59/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.66 thf('165', plain, (~ (((g @ c4 @ c5) = (c4))) | ~ (((g @ c4 @ c4) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl17307, zip_derived_cl5803])). 870.59/112.66 thf(zip_derived_cl13353, plain, 870.59/112.66 ((((g @ c4 @ c4) = (c3))) <= ((((g @ c4 @ c4) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7114])). 870.59/112.66 thf(zip_derived_cl2244, plain, 870.59/112.66 ((((g @ c4 @ c4) = (c4))) <= ((((g @ c4 @ c4) = (c4))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl2100])). 870.59/112.66 thf(zip_derived_cl13359, plain, 870.59/112.66 ((((c3) = (c4))) <= ((((g @ c4 @ c4) = (c4))) & (((g @ c4 @ c4) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl13353, zip_derived_cl2244])). 870.59/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 870.59/112.66 thf('166', plain, (~ (((g @ c4 @ c4) = (c4))) | ~ (((g @ c4 @ c4) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl13359, zip_derived_cl3704])). 870.59/112.66 thf(zip_derived_cl13353, plain, 870.59/112.66 ((((g @ c4 @ c4) = (c3))) <= ((((g @ c4 @ c4) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7114])). 870.59/112.66 thf(zip_derived_cl2712, plain, 870.59/112.66 ((((g @ c4 @ c4) = (c1))) <= ((((g @ c5 @ c4) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl2700])). 870.59/112.66 thf(zip_derived_cl13358, plain, 870.59/112.66 ((((c3) = (c1))) <= ((((g @ c5 @ c4) = (c3))) & (((g @ c4 @ c4) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl13353, zip_derived_cl2712])). 870.59/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.66 thf('167', plain, (~ (((g @ c5 @ c4) = (c3))) | ~ (((g @ c4 @ c4) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl13358, zip_derived_cl4494])). 870.59/112.66 thf(zip_derived_cl4440, plain, 870.59/112.66 ((((g @ (s @ (s @ c5)) @ c3) = (c2))) 870.59/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl4422])). 870.59/112.66 thf(zip_derived_cl3914, plain, 870.59/112.66 ((((g @ (s @ (s @ c5)) @ c3) = (c1))) <= ((((g @ c8 @ c3) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl3896])). 870.59/112.66 thf(zip_derived_cl10083, plain, 870.59/112.66 ((((c2) = (c1))) 870.59/112.66 <= ((((g @ c8 @ c3) = (c3))) & (((g @ (s @ (s @ c5)) @ c4) = (c4))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl4440, zip_derived_cl3914])). 870.59/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.66 thf('168', plain, 870.59/112.66 (~ (((g @ c8 @ c3) = (c3))) | ~ (((g @ (s @ (s @ c5)) @ c4) = (c4)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl10083, zip_derived_cl6754])). 870.59/112.66 thf(zip_derived_cl7241, plain, 870.59/112.66 ((((g @ c3 @ (s @ (s @ c5))) = (c2))) <= ((((g @ c3 @ c8) = (c4))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl7223])). 870.59/112.66 thf(zip_derived_cl1978, plain, 870.59/112.66 (![X0 : $i]: 870.59/112.66 (((g @ c3 @ (s @ X0)) = (c4)) 870.59/112.66 | ((g @ c4 @ X0) = (c3)) 870.59/112.66 | ((g @ c3 @ X0) = (c3)) 870.59/112.66 | ((g @ c3 @ X0) = (c5)) 870.59/112.66 | ((g @ c3 @ X0) = (c4)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl1947])). 870.59/112.66 thf(zip_derived_cl13405, plain, 870.59/112.66 (((((c2) = (c4)) 870.59/112.66 | ((g @ c3 @ (s @ c5)) = (c4)) 870.59/112.66 | ((g @ c3 @ (s @ c5)) = (c5)) 870.59/112.66 | ((g @ c3 @ (s @ c5)) = (c3)) 870.59/112.66 | ((g @ c4 @ (s @ c5)) = (c3)))) <= ((((g @ c3 @ c8) = (c4))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl7241, zip_derived_cl1978])). 870.59/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 870.59/112.66 thf(zip_derived_cl13423, plain, 870.59/112.66 (((((g @ c3 @ (s @ c5)) = (c4)) 870.59/112.66 | ((g @ c3 @ (s @ c5)) = (c5)) 870.59/112.66 | ((g @ c3 @ (s @ c5)) = (c3)) 870.59/112.66 | ((g @ c4 @ (s @ c5)) = (c3)))) <= ((((g @ c3 @ c8) = (c4))))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl13405, zip_derived_cl1663])). 870.59/112.66 thf(zip_derived_cl24728, plain, 870.59/112.66 ((((g @ c4 @ (s @ c5)) = (c3))) <= ((((g @ c4 @ (s @ c5)) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl13423])). 870.59/112.66 thf(zip_derived_cl18580, plain, 870.59/112.66 ((((g @ c4 @ (s @ c5)) = (c1))) <= ((((g @ c5 @ (s @ c5)) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl18560])). 870.59/112.66 thf(zip_derived_cl27972, plain, 870.59/112.66 ((((c3) = (c1))) 870.59/112.66 <= ((((g @ c5 @ (s @ c5)) = (c3))) & (((g @ c4 @ (s @ c5)) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl24728, zip_derived_cl18580])). 870.59/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.66 thf('169', plain, 870.59/112.66 (~ (((g @ c4 @ (s @ c5)) = (c3))) | ~ (((g @ c5 @ (s @ c5)) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl27972, zip_derived_cl4494])). 870.59/112.66 thf(zip_derived_cl24728, plain, 870.59/112.66 ((((g @ c4 @ (s @ c5)) = (c3))) <= ((((g @ c4 @ (s @ c5)) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl13423])). 870.59/112.66 thf(zip_derived_cl14305, plain, 870.59/112.66 ((((g @ c4 @ (s @ c5)) = (c2))) <= ((((g @ c4 @ (s @ (s @ c5))) = (c4))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl14290])). 870.59/112.66 thf(zip_derived_cl25300, plain, 870.59/112.66 ((((c3) = (c2))) 870.59/112.66 <= ((((g @ c4 @ (s @ (s @ c5))) = (c4))) & 870.59/112.66 (((g @ c4 @ (s @ c5)) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl24728, zip_derived_cl14305])). 870.59/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 870.59/112.66 thf('170', plain, 870.59/112.66 (~ (((g @ c4 @ (s @ c5)) = (c3))) | 870.59/112.66 ~ (((g @ c4 @ (s @ (s @ c5))) = (c4)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl25300, zip_derived_cl5803])). 870.59/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl1911, plain, 870.59/112.66 (![X0 : $i]: 870.59/112.66 (((g @ c2 @ (s @ X0)) = (c4)) 870.59/112.66 | ((g @ c3 @ X0) = (c3)) 870.59/112.66 | ((g @ c2 @ X0) = (c3)) 870.59/112.66 | ((g @ c2 @ X0) = (c5)) 870.59/112.66 | ((g @ c2 @ X0) = (c4)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl1873])). 870.59/112.66 thf(zip_derived_cl6604, plain, 870.59/112.66 ((((g @ c2 @ c3) = (c4)) 870.59/112.66 | ((g @ c2 @ c2) = (c4)) 870.59/112.66 | ((g @ c2 @ c2) = (c5)) 870.59/112.66 | ((g @ c2 @ c2) = (c3)) 870.59/112.66 | ((g @ c3 @ c2) = (c3)))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1911])). 870.59/112.66 thf(zip_derived_cl12689, plain, 870.59/112.66 ((((g @ c2 @ c2) = (c4))) <= ((((g @ c2 @ c2) = (c4))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl6604])). 870.59/112.66 thf(zip_derived_cl3055, plain, 870.59/112.66 ((((g @ c3 @ c2) = (c3))) <= ((((g @ c3 @ c2) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl2326])). 870.59/112.66 thf(zip_derived_cl83, plain, 870.59/112.66 (![X0 : $i]: (((g @ c3 @ X0) != (c3)) | ((g @ c2 @ X0) = (c1)))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10])). 870.59/112.66 thf(zip_derived_cl3058, plain, 870.59/112.66 (((((c3) != (c3)) | ((g @ c2 @ c2) = (c1)))) 870.59/112.66 <= ((((g @ c3 @ c2) = (c3))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl3055, zip_derived_cl83])). 870.59/112.66 thf(zip_derived_cl3073, plain, 870.59/112.66 ((((g @ c2 @ c2) = (c1))) <= ((((g @ c3 @ c2) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl3058])). 870.59/112.66 thf(zip_derived_cl12692, plain, 870.59/112.66 ((((c4) = (c1))) <= ((((g @ c3 @ c2) = (c3))) & (((g @ c2 @ c2) = (c4))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl12689, zip_derived_cl3073])). 870.59/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.66 thf('171', plain, (~ (((g @ c3 @ c2) = (c3))) | ~ (((g @ c2 @ c2) = (c4)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl12692, zip_derived_cl2825])). 870.59/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl1978, plain, 870.59/112.66 (![X0 : $i]: 870.59/112.66 (((g @ c3 @ (s @ X0)) = (c4)) 870.59/112.66 | ((g @ c4 @ X0) = (c3)) 870.59/112.66 | ((g @ c3 @ X0) = (c3)) 870.59/112.66 | ((g @ c3 @ X0) = (c5)) 870.59/112.66 | ((g @ c3 @ X0) = (c4)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl1947])). 870.59/112.66 thf(zip_derived_cl7111, plain, 870.59/112.66 ((((g @ c3 @ c2) = (c4)) 870.59/112.66 | ((g @ c3 @ c1) = (c4)) 870.59/112.66 | ((g @ c3 @ c1) = (c5)) 870.59/112.66 | ((g @ c3 @ c1) = (c3)) 870.59/112.66 | ((g @ c4 @ c1) = (c3)))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1978])). 870.59/112.66 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl7129, plain, 870.59/112.66 ((((g @ c3 @ c2) = (c4)) 870.59/112.66 | ((g @ c3 @ c1) = (c5)) 870.59/112.66 | ((g @ c3 @ c1) = (c3)) 870.59/112.66 | ((g @ c4 @ c1) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl7111, zip_derived_cl20])). 870.59/112.66 thf(zip_derived_cl13597, plain, 870.59/112.66 ((((g @ c4 @ c1) = (c3))) <= ((((g @ c4 @ c1) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7129])). 870.59/112.66 thf(zip_derived_cl84, plain, 870.59/112.66 (![X0 : $i]: (((g @ c4 @ X0) != (c3)) | ((g @ c3 @ X0) = (c1)))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])). 870.59/112.66 thf(zip_derived_cl13603, plain, 870.59/112.66 (((((c3) != (c3)) | ((g @ c3 @ c1) = (c1)))) 870.59/112.66 <= ((((g @ c4 @ c1) = (c3))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl13597, zip_derived_cl84])). 870.59/112.66 thf(zip_derived_cl13619, plain, 870.59/112.66 ((((g @ c3 @ c1) = (c1))) <= ((((g @ c4 @ c1) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl13603])). 870.59/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl1978, plain, 870.59/112.66 (![X0 : $i]: 870.59/112.66 (((g @ c3 @ (s @ X0)) = (c4)) 870.59/112.66 | ((g @ c4 @ X0) = (c3)) 870.59/112.66 | ((g @ c3 @ X0) = (c3)) 870.59/112.66 | ((g @ c3 @ X0) = (c5)) 870.59/112.66 | ((g @ c3 @ X0) = (c4)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl1947])). 870.59/112.66 thf(zip_derived_cl7125, plain, 870.59/112.66 ((((g @ c3 @ c3) = (c4)) 870.59/112.66 | ((g @ c3 @ c2) = (c4)) 870.59/112.66 | ((g @ c3 @ c2) = (c5)) 870.59/112.66 | ((g @ c3 @ c2) = (c3)) 870.59/112.66 | ((g @ c4 @ c2) = (c3)))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1978])). 870.59/112.66 thf(zip_derived_cl13512, plain, 870.59/112.66 ((((g @ c3 @ c2) = (c4))) <= ((((g @ c3 @ c2) = (c4))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7125])). 870.59/112.66 thf(zip_derived_cl96, plain, 870.59/112.66 (![X0 : $i]: (((g @ X0 @ c2) != (c4)) | ((g @ X0 @ c1) = (c2)))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl12])). 870.59/112.66 thf(zip_derived_cl13520, plain, 870.59/112.66 (((((c4) != (c4)) | ((g @ c3 @ c1) = (c2)))) 870.59/112.66 <= ((((g @ c3 @ c2) = (c4))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl13512, zip_derived_cl96])). 870.59/112.66 thf(zip_derived_cl13538, plain, 870.59/112.66 ((((g @ c3 @ c1) = (c2))) <= ((((g @ c3 @ c2) = (c4))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl13520])). 870.59/112.66 thf(zip_derived_cl15172, plain, 870.59/112.66 ((((c1) = (c2))) <= ((((g @ c3 @ c2) = (c4))) & (((g @ c4 @ c1) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl13619, zip_derived_cl13538])). 870.59/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.66 thf('172', plain, (~ (((g @ c3 @ c2) = (c4))) | ~ (((g @ c4 @ c1) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl15172, zip_derived_cl6754])). 870.59/112.66 thf(zip_derived_cl13619, plain, 870.59/112.66 ((((g @ c3 @ c1) = (c1))) <= ((((g @ c4 @ c1) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl13603])). 870.59/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl1911, plain, 870.59/112.66 (![X0 : $i]: 870.59/112.66 (((g @ c2 @ (s @ X0)) = (c4)) 870.59/112.66 | ((g @ c3 @ X0) = (c3)) 870.59/112.66 | ((g @ c2 @ X0) = (c3)) 870.59/112.66 | ((g @ c2 @ X0) = (c5)) 870.59/112.66 | ((g @ c2 @ X0) = (c4)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl1873])). 870.59/112.66 thf(zip_derived_cl6590, plain, 870.59/112.66 ((((g @ c2 @ c2) = (c4)) 870.59/112.66 | ((g @ c2 @ c1) = (c4)) 870.59/112.66 | ((g @ c2 @ c1) = (c5)) 870.59/112.66 | ((g @ c2 @ c1) = (c3)) 870.59/112.66 | ((g @ c3 @ c1) = (c3)))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1911])). 870.59/112.66 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl6608, plain, 870.59/112.66 ((((g @ c2 @ c2) = (c4)) 870.59/112.66 | ((g @ c2 @ c1) = (c5)) 870.59/112.66 | ((g @ c2 @ c1) = (c3)) 870.59/112.66 | ((g @ c3 @ c1) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl6590, zip_derived_cl20])). 870.59/112.66 thf(zip_derived_cl12810, plain, 870.59/112.66 ((((g @ c3 @ c1) = (c3))) <= ((((g @ c3 @ c1) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl6608])). 870.59/112.66 thf(zip_derived_cl14055, plain, 870.59/112.66 ((((c1) = (c3))) <= ((((g @ c3 @ c1) = (c3))) & (((g @ c4 @ c1) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], 870.59/112.66 [zip_derived_cl13619, zip_derived_cl12810])). 870.59/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.66 thf('173', plain, (~ (((g @ c4 @ c1) = (c3))) | ~ (((g @ c3 @ c1) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl14055, zip_derived_cl4494])). 870.59/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl2040, plain, 870.59/112.66 (![X0 : $i]: 870.59/112.66 (((g @ c4 @ (s @ X0)) = (c4)) 870.59/112.66 | ((g @ c5 @ X0) = (c3)) 870.59/112.66 | ((g @ c4 @ X0) = (c3)) 870.59/112.66 | ((g @ c4 @ X0) = (c5)) 870.59/112.66 | ((g @ c4 @ X0) = (c4)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl2010])). 870.59/112.66 thf(zip_derived_cl7578, plain, 870.59/112.66 ((((g @ c4 @ c2) = (c4)) 870.59/112.66 | ((g @ c4 @ c1) = (c4)) 870.59/112.66 | ((g @ c4 @ c1) = (c5)) 870.59/112.66 | ((g @ c4 @ c1) = (c3)) 870.59/112.66 | ((g @ c5 @ c1) = (c3)))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl2040])). 870.59/112.66 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl7596, plain, 870.59/112.66 ((((g @ c4 @ c2) = (c4)) 870.59/112.66 | ((g @ c4 @ c1) = (c5)) 870.59/112.66 | ((g @ c4 @ c1) = (c3)) 870.59/112.66 | ((g @ c5 @ c1) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl7578, zip_derived_cl20])). 870.59/112.66 thf('174', plain, 870.59/112.66 ((((g @ c4 @ c2) = (c4))) | (((g @ c4 @ c1) = (c3))) | 870.59/112.66 (((g @ c4 @ c1) = (c5))) | (((g @ c5 @ c1) = (c3)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7596])). 870.59/112.66 thf(zip_derived_cl14456, plain, 870.59/112.66 ((((g @ c4 @ c1) = (c5))) <= ((((g @ c4 @ c1) = (c5))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl7596])). 870.59/112.66 thf(zip_derived_cl25, plain, 870.59/112.66 (![X11 : $i, X13 : $i]: 870.59/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl14463, plain, 870.59/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c1 @ c4))) 870.59/112.66 <= ((((g @ c4 @ c1) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl14456, zip_derived_cl25])). 870.59/112.66 thf(zip_derived_cl14481, plain, 870.59/112.66 (( (zip_tseitin_2 @ c1 @ c4)) <= ((((g @ c4 @ c1) = (c5))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl14463])). 870.59/112.66 thf(zip_derived_cl6, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.66 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.66 thf(zip_derived_cl14547, plain, 870.59/112.66 ((( (zip_tseitin_1 @ c1 @ c4) | (zip_tseitin_0 @ c1 @ c4))) 870.59/112.66 <= ((((g @ c4 @ c1) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl14481, zip_derived_cl6])). 870.59/112.66 thf(zip_derived_cl25543, plain, 870.59/112.66 (( (zip_tseitin_1 @ c1 @ c4)) <= (( (zip_tseitin_1 @ c1 @ c4)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl14547])). 870.59/112.66 thf(zip_derived_cl3, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.66 thf(zip_derived_cl25547, plain, 870.59/112.66 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ c1 @ c4)))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl25543, zip_derived_cl3])). 870.59/112.66 thf(zip_derived_cl49, plain, (((c4) != (c8))), 870.59/112.66 inference('demod', [status(thm)], 870.59/112.66 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 870.59/112.66 zip_derived_cl18])). 870.59/112.66 thf('175', plain, (~ ( (zip_tseitin_1 @ c1 @ c4))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl25547, zip_derived_cl49])). 870.59/112.66 thf(zip_derived_cl14481, plain, 870.59/112.66 (( (zip_tseitin_2 @ c1 @ c4)) <= ((((g @ c4 @ c1) = (c5))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl14463])). 870.59/112.66 thf(zip_derived_cl6, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.66 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.66 thf(zip_derived_cl14549, plain, 870.59/112.66 ((( (zip_tseitin_1 @ c1 @ c4) | (zip_tseitin_0 @ c1 @ c4))) 870.59/112.66 <= ((((g @ c4 @ c1) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl14481, zip_derived_cl6])). 870.59/112.66 thf(zip_derived_cl25554, plain, 870.59/112.66 (( (zip_tseitin_0 @ c1 @ c4)) <= (( (zip_tseitin_0 @ c1 @ c4)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl14549])). 870.59/112.66 thf(zip_derived_cl1, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.66 thf(zip_derived_cl25555, plain, 870.59/112.66 ((((c4) = (c1))) <= (( (zip_tseitin_0 @ c1 @ c4)))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl25554, zip_derived_cl1])). 870.59/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 870.59/112.66 thf('176', plain, (~ ( (zip_tseitin_0 @ c1 @ c4))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl25555, zip_derived_cl2825])). 870.59/112.66 thf('177', plain, 870.59/112.66 (~ (((g @ c4 @ c1) = (c5))) | ( (zip_tseitin_0 @ c1 @ c4)) | 870.59/112.66 ( (zip_tseitin_1 @ c1 @ c4))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl14547])). 870.59/112.66 thf(zip_derived_cl5477, plain, 870.59/112.66 ((((g @ c5 @ c1) = (c3))) <= ((((g @ c5 @ c1) = (c3))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl1718])). 870.59/112.66 thf(zip_derived_cl1746, plain, 870.59/112.66 ((((g @ c5 @ c1) = (c1))) <= ((((g @ (s @ c5) @ c1) = (c3))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl1733])). 870.59/112.66 thf(zip_derived_cl5717, plain, 870.59/112.66 ((((c3) = (c1))) 870.59/112.66 <= ((((g @ (s @ c5) @ c1) = (c3))) & (((g @ c5 @ c1) = (c3))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl5477, zip_derived_cl1746])). 870.59/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.66 thf('178', plain, 870.59/112.66 (~ (((g @ (s @ c5) @ c1) = (c3))) | ~ (((g @ c5 @ c1) = (c3)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl5717, zip_derived_cl4494])). 870.59/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl1820, plain, 870.59/112.66 (![X0 : $i]: 870.59/112.66 (((g @ (s @ (s @ c5)) @ (s @ X0)) = (c4)) 870.59/112.66 | ((g @ c8 @ X0) = (c3)) 870.59/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 870.59/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 870.59/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c4)))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl1771])). 870.59/112.66 thf(zip_derived_cl6129, plain, 870.59/112.66 ((((g @ (s @ (s @ c5)) @ c3) = (c4)) 870.59/112.66 | ((g @ (s @ (s @ c5)) @ c2) = (c4)) 870.59/112.66 | ((g @ (s @ (s @ c5)) @ c2) = (c5)) 870.59/112.66 | ((g @ (s @ (s @ c5)) @ c2) = (c3)) 870.59/112.66 | ((g @ c8 @ c2) = (c3)))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1820])). 870.59/112.66 thf('179', plain, 870.59/112.66 ((((g @ c8 @ c2) = (c3))) | (((g @ (s @ (s @ c5)) @ c2) = (c4))) | 870.59/112.66 (((g @ (s @ (s @ c5)) @ c2) = (c5))) | 870.59/112.66 (((g @ (s @ (s @ c5)) @ c3) = (c4))) | 870.59/112.66 (((g @ (s @ (s @ c5)) @ c2) = (c3)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl6129])). 870.59/112.66 thf(zip_derived_cl11412, plain, 870.59/112.66 ((((g @ (s @ (s @ c5)) @ c2) = (c5))) 870.59/112.66 <= ((((g @ (s @ (s @ c5)) @ c2) = (c5))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl6129])). 870.59/112.66 thf(zip_derived_cl25, plain, 870.59/112.66 (![X11 : $i, X13 : $i]: 870.59/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl11423, plain, 870.59/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c2 @ (s @ (s @ c5))))) 870.59/112.66 <= ((((g @ (s @ (s @ c5)) @ c2) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl11412, zip_derived_cl25])). 870.59/112.66 thf(zip_derived_cl11446, plain, 870.59/112.66 (( (zip_tseitin_2 @ c2 @ (s @ (s @ c5)))) 870.59/112.66 <= ((((g @ (s @ (s @ c5)) @ c2) = (c5))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl11423])). 870.59/112.66 thf(zip_derived_cl6, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.66 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.66 thf(zip_derived_cl22307, plain, 870.59/112.66 ((( (zip_tseitin_1 @ c2 @ (s @ (s @ c5))) 870.59/112.66 | (zip_tseitin_0 @ c2 @ (s @ (s @ c5))))) 870.59/112.66 <= ((((g @ (s @ (s @ c5)) @ c2) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl11446, zip_derived_cl6])). 870.59/112.66 thf(zip_derived_cl28694, plain, 870.59/112.66 (( (zip_tseitin_1 @ c2 @ (s @ (s @ c5)))) 870.59/112.66 <= (( (zip_tseitin_1 @ c2 @ (s @ (s @ c5)))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl22307])). 870.59/112.66 thf(zip_derived_cl4, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.66 thf(zip_derived_cl28697, plain, 870.59/112.66 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ c2 @ (s @ (s @ c5)))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl28694, zip_derived_cl4])). 870.59/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl28761, plain, 870.59/112.66 ((((c1) = (s @ c2))) <= (( (zip_tseitin_1 @ c2 @ (s @ (s @ c5)))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl28697, zip_derived_cl14])). 870.59/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl28770, plain, 870.59/112.66 ((((c1) = (c3))) <= (( (zip_tseitin_1 @ c2 @ (s @ (s @ c5)))))), 870.59/112.66 inference('demod', [status(thm)], [zip_derived_cl28761, zip_derived_cl19])). 870.59/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 870.59/112.66 thf('180', plain, (~ ( (zip_tseitin_1 @ c2 @ (s @ (s @ c5))))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl28770, zip_derived_cl4494])). 870.59/112.66 thf(zip_derived_cl11446, plain, 870.59/112.66 (( (zip_tseitin_2 @ c2 @ (s @ (s @ c5)))) 870.59/112.66 <= ((((g @ (s @ (s @ c5)) @ c2) = (c5))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl11423])). 870.59/112.66 thf(zip_derived_cl6, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.66 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.66 thf(zip_derived_cl22309, plain, 870.59/112.66 ((( (zip_tseitin_1 @ c2 @ (s @ (s @ c5))) 870.59/112.66 | (zip_tseitin_0 @ c2 @ (s @ (s @ c5))))) 870.59/112.66 <= ((((g @ (s @ (s @ c5)) @ c2) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl11446, zip_derived_cl6])). 870.59/112.66 thf(zip_derived_cl28773, plain, 870.59/112.66 (( (zip_tseitin_0 @ c2 @ (s @ (s @ c5)))) 870.59/112.66 <= (( (zip_tseitin_0 @ c2 @ (s @ (s @ c5)))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl22309])). 870.59/112.66 thf(zip_derived_cl0, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.66 thf(zip_derived_cl28776, plain, 870.59/112.66 ((((c2) = (c1))) <= (( (zip_tseitin_0 @ c2 @ (s @ (s @ c5)))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl28773, zip_derived_cl0])). 870.59/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.66 thf('181', plain, (~ ( (zip_tseitin_0 @ c2 @ (s @ (s @ c5))))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl28776, zip_derived_cl6754])). 870.59/112.66 thf('182', plain, 870.59/112.66 (~ (((g @ (s @ (s @ c5)) @ c2) = (c5))) | 870.59/112.66 ( (zip_tseitin_0 @ c2 @ (s @ (s @ c5)))) | 870.59/112.66 ( (zip_tseitin_1 @ c2 @ (s @ (s @ c5))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl22307])). 870.59/112.66 thf('183', plain, 870.59/112.66 (~ (((g @ c8 @ c1) = (c3))) | (((g @ (s @ c5) @ c1) = (c2))) | 870.59/112.66 (((g @ (s @ c5) @ c1) = (c5))) | (((g @ (s @ c5) @ c1) = (c3)))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl635])). 870.59/112.66 thf(zip_derived_cl1703, plain, 870.59/112.66 ((((g @ (s @ c5) @ c1) = (c5))) <= ((((g @ (s @ c5) @ c1) = (c5))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl635])). 870.59/112.66 thf(zip_derived_cl25, plain, 870.59/112.66 (![X11 : $i, X13 : $i]: 870.59/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl5395, plain, 870.59/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c1 @ (s @ c5)))) 870.59/112.66 <= ((((g @ (s @ c5) @ c1) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl1703, zip_derived_cl25])). 870.59/112.66 thf(zip_derived_cl5412, plain, 870.59/112.66 (( (zip_tseitin_2 @ c1 @ (s @ c5))) <= ((((g @ (s @ c5) @ c1) = (c5))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl5395])). 870.59/112.66 thf(zip_derived_cl6, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.66 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.66 thf(zip_derived_cl8288, plain, 870.59/112.66 ((( (zip_tseitin_1 @ c1 @ (s @ c5)) | (zip_tseitin_0 @ c1 @ (s @ c5)))) 870.59/112.66 <= ((((g @ (s @ c5) @ c1) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl5412, zip_derived_cl6])). 870.59/112.66 thf(zip_derived_cl15309, plain, 870.59/112.66 (( (zip_tseitin_1 @ c1 @ (s @ c5))) 870.59/112.66 <= (( (zip_tseitin_1 @ c1 @ (s @ c5))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl8288])). 870.59/112.66 thf(zip_derived_cl4, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 870.59/112.66 thf(zip_derived_cl15312, plain, 870.59/112.66 ((((c1) = (c8))) <= (( (zip_tseitin_1 @ c1 @ (s @ c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl15309, zip_derived_cl4])). 870.59/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl15388, plain, 870.59/112.66 ((((c1) = (s @ c1))) <= (( (zip_tseitin_1 @ c1 @ (s @ c5))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl15312, zip_derived_cl14])). 870.59/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl15424, plain, 870.59/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_1 @ c1 @ (s @ c5))))), 870.59/112.66 inference('demod', [status(thm)], [zip_derived_cl15388, zip_derived_cl15])). 870.59/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 870.59/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 870.59/112.66 thf('184', plain, (~ ( (zip_tseitin_1 @ c1 @ (s @ c5)))), 870.59/112.66 inference('simplify_reflect-', [status(thm)], 870.59/112.66 [zip_derived_cl15424, zip_derived_cl6754])). 870.59/112.66 thf(zip_derived_cl5412, plain, 870.59/112.66 (( (zip_tseitin_2 @ c1 @ (s @ c5))) <= ((((g @ (s @ c5) @ c1) = (c5))))), 870.59/112.66 inference('simplify', [status(thm)], [zip_derived_cl5395])). 870.59/112.66 thf(zip_derived_cl6, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: 870.59/112.66 ( (zip_tseitin_0 @ X0 @ X1) 870.59/112.66 | (zip_tseitin_1 @ X0 @ X1) 870.59/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 870.59/112.66 thf(zip_derived_cl8290, plain, 870.59/112.66 ((( (zip_tseitin_1 @ c1 @ (s @ c5)) | (zip_tseitin_0 @ c1 @ (s @ c5)))) 870.59/112.66 <= ((((g @ (s @ c5) @ c1) = (c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl5412, zip_derived_cl6])). 870.59/112.66 thf(zip_derived_cl15427, plain, 870.59/112.66 (( (zip_tseitin_0 @ c1 @ (s @ c5))) 870.59/112.66 <= (( (zip_tseitin_0 @ c1 @ (s @ c5))))), 870.59/112.66 inference('split', [status(esa)], [zip_derived_cl8290])). 870.59/112.66 thf(zip_derived_cl1, plain, 870.59/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 870.59/112.66 thf(zip_derived_cl15428, plain, 870.59/112.66 ((((s @ c5) = (c1))) <= (( (zip_tseitin_0 @ c1 @ (s @ c5))))), 870.59/112.66 inference('sup-', [status(thm)], [zip_derived_cl15427, zip_derived_cl1])). 870.59/112.66 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 870.59/112.66 inference('demod', [status(thm)], 870.59/112.66 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 870.59/112.66 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 870.59/112.66 thf(zip_derived_cl15559, plain, 870.59/112.66 ((((s @ (s @ c1)) = (c8))) <= (( (zip_tseitin_0 @ c1 @ (s @ c5))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl15428, zip_derived_cl32])). 870.59/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl15797, plain, 870.59/112.66 ((((c3) = (c8))) <= (( (zip_tseitin_0 @ c1 @ (s @ c5))))), 870.59/112.66 inference('demod', [status(thm)], 870.59/112.66 [zip_derived_cl15559, zip_derived_cl15, zip_derived_cl19])). 870.59/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 870.59/112.66 thf(zip_derived_cl15989, plain, 870.59/112.66 ((((c1) = (s @ c3))) <= (( (zip_tseitin_0 @ c1 @ (s @ c5))))), 870.59/112.66 inference('sup+', [status(thm)], [zip_derived_cl15797, zip_derived_cl14])). 870.59/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 870.59/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl16020, plain, 871.40/112.66 ((((c1) = (c4))) <= (( (zip_tseitin_0 @ c1 @ (s @ c5))))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl15989, zip_derived_cl18])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('185', plain, (~ ( (zip_tseitin_0 @ c1 @ (s @ c5)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl16020, zip_derived_cl2825])). 871.40/112.66 thf('186', plain, 871.40/112.66 (~ (((g @ (s @ c5) @ c1) = (c5))) | ( (zip_tseitin_0 @ c1 @ (s @ c5))) | 871.40/112.66 ( (zip_tseitin_1 @ c1 @ (s @ c5)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl8288])). 871.40/112.66 thf(zip_derived_cl1139, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c1) = (c2))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1127])). 871.40/112.66 thf(zip_derived_cl344, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c1) = (c1))) <= ((((g @ c8 @ c1) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl328])). 871.40/112.66 thf(zip_derived_cl3712, plain, 871.40/112.66 ((((c2) = (c1))) 871.40/112.66 <= ((((g @ c8 @ c1) = (c3))) & (((g @ (s @ (s @ c5)) @ c2) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl1139, zip_derived_cl344])). 871.40/112.66 thf(zip_derived_cl1139, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c1) = (c2))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1127])). 871.40/112.66 thf(zip_derived_cl4652, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c2) = (c2))) 871.40/112.66 <= ((((g @ c8 @ c1) = (c3))) & (((g @ (s @ (s @ c5)) @ c2) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl3712, zip_derived_cl1139])). 871.40/112.66 thf(zip_derived_cl1123, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c2) = (c4))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c2) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl457])). 871.40/112.66 thf(zip_derived_cl4679, plain, 871.40/112.66 ((((c4) = (c2))) 871.40/112.66 <= ((((g @ c8 @ c1) = (c3))) & (((g @ (s @ (s @ c5)) @ c2) = (c4))))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl4652, zip_derived_cl1123])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('187', plain, 871.40/112.66 (~ (((g @ (s @ (s @ c5)) @ c2) = (c4))) | ~ (((g @ c8 @ c1) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl4679, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl325, plain, 871.40/112.66 ((((g @ c8 @ c1) = (c5))) <= ((((g @ c8 @ c1) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl298])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl364, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c1 @ c8))) 871.40/112.66 <= ((((g @ c8 @ c1) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl325, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl380, plain, 871.40/112.66 (( (zip_tseitin_2 @ c1 @ c8)) <= ((((g @ c8 @ c1) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl364])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl398, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c1 @ c8) | (zip_tseitin_0 @ c1 @ c8))) 871.40/112.66 <= ((((g @ c8 @ c1) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl380, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl726, plain, 871.40/112.66 (( (zip_tseitin_1 @ c1 @ c8)) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl398])). 871.40/112.66 thf(zip_derived_cl4, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl729, plain, 871.40/112.66 ((((c1) = (c8))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl726, zip_derived_cl4])). 871.40/112.66 thf(zip_derived_cl729, plain, 871.40/112.66 ((((c1) = (c8))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl726, zip_derived_cl4])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl756, plain, 871.40/112.66 ((((c1) = (s @ c1))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl729, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl767, plain, 871.40/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl756, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl783, plain, 871.40/112.66 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl729, zip_derived_cl767])). 871.40/112.66 thf(zip_derived_cl767, plain, 871.40/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl756, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl811, plain, 871.40/112.66 ((((c2) = (s @ c2))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl767, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl830, plain, 871.40/112.66 ((((c2) = (c3))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl19])). 871.40/112.66 thf(zip_derived_cl879, plain, 871.40/112.66 ((((c3) = (c8))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl830])). 871.40/112.66 thf(zip_derived_cl830, plain, 871.40/112.66 ((((c2) = (c3))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl19])). 871.40/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl887, plain, 871.40/112.66 ((((c3) = (s @ c3))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl830, zip_derived_cl19])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl891, plain, 871.40/112.66 ((((c3) = (c4))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl887, zip_derived_cl18])). 871.40/112.66 thf(zip_derived_cl1055, plain, 871.40/112.66 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl879, zip_derived_cl891])). 871.40/112.66 thf(zip_derived_cl49, plain, (((c4) != (c8))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 871.40/112.66 zip_derived_cl18])). 871.40/112.66 thf('188', plain, (~ ( (zip_tseitin_1 @ c1 @ c8))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl1055, zip_derived_cl49])). 871.40/112.66 thf(zip_derived_cl380, plain, 871.40/112.66 (( (zip_tseitin_2 @ c1 @ c8)) <= ((((g @ c8 @ c1) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl364])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl400, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c1 @ c8) | (zip_tseitin_0 @ c1 @ c8))) 871.40/112.66 <= ((((g @ c8 @ c1) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl380, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl832, plain, 871.40/112.66 (( (zip_tseitin_0 @ c1 @ c8)) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl400])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl834, plain, 871.40/112.66 ((((c8) = (c1))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl832, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl997, plain, 871.40/112.66 ((((c1) = (s @ c1))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl834, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl1008, plain, 871.40/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl997, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl1008, plain, 871.40/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl997, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl1103, plain, 871.40/112.66 ((((c2) = (s @ c2))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl1008, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl1122, plain, 871.40/112.66 ((((c2) = (c3))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl1103, zip_derived_cl19])). 871.40/112.66 thf(zip_derived_cl1187, plain, 871.40/112.66 ((((c1) = (c3))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl1008, zip_derived_cl1122])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl1232, plain, 871.40/112.66 ((((c2) = (s @ c3))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl1187, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl1122, plain, 871.40/112.66 ((((c2) = (c3))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl1103, zip_derived_cl19])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl1264, plain, 871.40/112.66 ((((c3) = (c4))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl1232, zip_derived_cl1122, zip_derived_cl18])). 871.40/112.66 thf(zip_derived_cl834, plain, 871.40/112.66 ((((c8) = (c1))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl832, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl49, plain, (((c4) != (c8))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 871.40/112.66 zip_derived_cl18])). 871.40/112.66 thf(zip_derived_cl994, plain, 871.40/112.66 ((((c4) != (c1))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl834, zip_derived_cl49])). 871.40/112.66 thf(zip_derived_cl1008, plain, 871.40/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl997, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl1075, plain, 871.40/112.66 ((((c4) != (c2))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl994, zip_derived_cl1008])). 871.40/112.66 thf(zip_derived_cl1122, plain, 871.40/112.66 ((((c2) = (c3))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl1103, zip_derived_cl19])). 871.40/112.66 thf(zip_derived_cl1189, plain, 871.40/112.66 ((((c4) != (c3))) <= (( (zip_tseitin_0 @ c1 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl1075, zip_derived_cl1122])). 871.40/112.66 thf('189', plain, (~ ( (zip_tseitin_0 @ c1 @ c8))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl1264, zip_derived_cl1189])). 871.40/112.66 thf('190', plain, 871.40/112.66 (~ (((g @ c8 @ c1) = (c5))) | ( (zip_tseitin_0 @ c1 @ c8)) | 871.40/112.66 ( (zip_tseitin_1 @ c1 @ c8))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl398])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl304, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c8 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c8 @ X0) = (c4)) 871.40/112.66 | ((g @ c8 @ X0) = (c5)) 871.40/112.66 | ((g @ c8 @ X0) = (c3)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl267])). 871.40/112.66 thf(zip_derived_cl1507, plain, 871.40/112.66 ((((g @ c8 @ c2) = (c4)) 871.40/112.66 | ((g @ c8 @ c1) = (c3)) 871.40/112.66 | ((g @ c8 @ c1) = (c5)) 871.40/112.66 | ((g @ c8 @ c1) = (c4)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl304])). 871.40/112.66 thf(zip_derived_cl20, plain, (![X8 : $i]: ((g @ X8 @ c1) != (c4))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl1529, plain, 871.40/112.66 ((((g @ c8 @ c2) = (c4)) 871.40/112.66 | ((g @ c8 @ c1) = (c3)) 871.40/112.66 | ((g @ c8 @ c1) = (c5)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl1507, zip_derived_cl20])). 871.40/112.66 thf('191', plain, 871.40/112.66 ((((g @ c8 @ c2) = (c4))) | (((g @ c8 @ c1) = (c5))) | 871.40/112.66 (((g @ c8 @ c1) = (c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1529])). 871.40/112.66 thf(zip_derived_cl5058, plain, 871.40/112.66 ((((g @ c8 @ c2) = (c4))) <= ((((g @ c8 @ c2) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1508])). 871.40/112.66 thf(zip_derived_cl424, plain, 871.40/112.66 ((((g @ c8 @ c2) = (c2))) <= ((((g @ c8 @ c3) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl408])). 871.40/112.66 thf(zip_derived_cl5062, plain, 871.40/112.66 ((((c4) = (c2))) <= ((((g @ c8 @ c3) = (c4))) & (((g @ c8 @ c2) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl5058, zip_derived_cl424])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('192', plain, (~ (((g @ c8 @ c2) = (c4))) | ~ (((g @ c8 @ c3) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl5062, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl1290, plain, 871.40/112.66 ((((g @ c8 @ c2) = (c3))) <= ((((g @ c8 @ c2) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1143])). 871.40/112.66 thf(zip_derived_cl424, plain, 871.40/112.66 ((((g @ c8 @ c2) = (c2))) <= ((((g @ c8 @ c3) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl408])). 871.40/112.66 thf(zip_derived_cl1292, plain, 871.40/112.66 ((((c3) = (c2))) <= ((((g @ c8 @ c3) = (c4))) & (((g @ c8 @ c2) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl1290, zip_derived_cl424])). 871.40/112.66 thf(zip_derived_cl404, plain, ((((c3) != (c2))) <= (~ (((c3) = (c2))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl348])). 871.40/112.66 thf(zip_derived_cl1326, plain, 871.40/112.66 ((((c3) != (c3))) 871.40/112.66 <= (~ (((c3) = (c2))) & 871.40/112.66 (((g @ c8 @ c3) = (c4))) & 871.40/112.66 (((g @ c8 @ c2) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl1292, zip_derived_cl404])). 871.40/112.66 thf('193', plain, 871.40/112.66 (~ (((g @ c8 @ c2) = (c3))) | ~ (((g @ c8 @ c3) = (c4))) | 871.40/112.66 (((c3) = (c2)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1326])). 871.40/112.66 thf(zip_derived_cl5654, plain, 871.40/112.66 ((((g @ (s @ c5) @ c2) = (c1))) <= ((((g @ (s @ (s @ c5)) @ c2) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl5637])). 871.40/112.66 thf(zip_derived_cl1721, plain, 871.40/112.66 ((((g @ (s @ c5) @ c2) = (c4))) <= ((((g @ (s @ c5) @ c1) = (c2))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1720])). 871.40/112.66 thf(zip_derived_cl9996, plain, 871.40/112.66 ((((c1) = (c4))) 871.40/112.66 <= ((((g @ (s @ c5) @ c1) = (c2))) & 871.40/112.66 (((g @ (s @ (s @ c5)) @ c2) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl5654, zip_derived_cl1721])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('194', plain, 871.40/112.66 (~ (((g @ (s @ c5) @ c1) = (c2))) | 871.40/112.66 ~ (((g @ (s @ (s @ c5)) @ c2) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl9996, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl5159, plain, 871.40/112.66 ((((c3) = (c2))) <= ((((g @ c8 @ c5) = (c4))) & (((g @ c8 @ c4) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl5157, zip_derived_cl555])). 871.40/112.66 thf(zip_derived_cl404, plain, ((((c3) != (c2))) <= (~ (((c3) = (c2))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl348])). 871.40/112.66 thf(zip_derived_cl5215, plain, 871.40/112.66 ((((c3) != (c3))) 871.40/112.66 <= (~ (((c3) = (c2))) & 871.40/112.66 (((g @ c8 @ c5) = (c4))) & 871.40/112.66 (((g @ c8 @ c4) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl5159, zip_derived_cl404])). 871.40/112.66 thf('195', plain, 871.40/112.66 (~ (((g @ c8 @ c4) = (c3))) | ~ (((g @ c8 @ c5) = (c4))) | 871.40/112.66 (((c3) = (c2)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl5215])). 871.40/112.66 thf(zip_derived_cl17411, plain, 871.40/112.66 ((((g @ c8 @ c5) = (c3))) <= ((((g @ c8 @ c5) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl9718])). 871.40/112.66 thf(zip_derived_cl81, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c8 @ X0) != (c3)) | ((g @ (s @ (s @ c5)) @ X0) = (c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl17416, plain, 871.40/112.66 (((((c3) != (c3)) | ((g @ (s @ (s @ c5)) @ c5) = (c1)))) 871.40/112.66 <= ((((g @ c8 @ c5) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl17411, zip_derived_cl81])). 871.40/112.66 thf(zip_derived_cl17436, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c5) = (c1))) <= ((((g @ c8 @ c5) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl17416])). 871.40/112.66 thf(zip_derived_cl4766, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c5) = (c2))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl4750])). 871.40/112.66 thf(zip_derived_cl26088, plain, 871.40/112.66 ((((c1) = (c2))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))) & 871.40/112.66 (((g @ c8 @ c5) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl17436, zip_derived_cl4766])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('196', plain, 871.40/112.66 (~ (((g @ c8 @ c5) = (c3))) | 871.40/112.66 ~ (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl26088, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl5952, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ (s @ (s @ c5))) = (c2))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c8) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl5934])). 871.40/112.66 thf(zip_derived_cl1820, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ (s @ (s @ c5)) @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c8 @ X0) = (c3)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1771])). 871.40/112.66 thf(zip_derived_cl11270, plain, 871.40/112.66 (((((c2) = (c4)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3)) 871.40/112.66 | ((g @ c8 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c8) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl5952, zip_derived_cl1820])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf(zip_derived_cl11288, plain, 871.40/112.66 (((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3)) 871.40/112.66 | ((g @ c8 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c8) = (c4))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl11270, zip_derived_cl1663])). 871.40/112.66 thf('197', plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))) | 871.40/112.66 (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))) | 871.40/112.66 (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5))) | 871.40/112.66 ~ (((g @ (s @ (s @ c5)) @ c8) = (c4))) | (((g @ c8 @ (s @ c5)) = (c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl11288])). 871.40/112.66 thf('198', plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c8) = (c3))) | 871.40/112.66 (((g @ (s @ (s @ c5)) @ c8) = (c4))) | 871.40/112.66 (((g @ (s @ (s @ c5)) @ c8) = (c5)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1812])). 871.40/112.66 thf(zip_derived_cl5930, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c8) = (c5))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c8) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1812])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl10834, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c8 @ (s @ (s @ c5))))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl5930, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl10855, plain, 871.40/112.66 (( (zip_tseitin_2 @ c8 @ (s @ (s @ c5)))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c8) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl10834])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl10884, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c8 @ (s @ (s @ c5))) 871.40/112.66 | (zip_tseitin_0 @ c8 @ (s @ (s @ c5))))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl10855, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl18963, plain, 871.40/112.66 (( (zip_tseitin_0 @ c8 @ (s @ (s @ c5)))) 871.40/112.66 <= (( (zip_tseitin_0 @ c8 @ (s @ (s @ c5)))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl10884])). 871.40/112.66 thf(zip_derived_cl0, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl18966, plain, 871.40/112.66 ((((c8) = (c1))) <= (( (zip_tseitin_0 @ c8 @ (s @ (s @ c5)))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl18963, zip_derived_cl0])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl19042, plain, 871.40/112.66 ((((c1) = (s @ c1))) <= (( (zip_tseitin_0 @ c8 @ (s @ (s @ c5)))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl18966, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl19080, plain, 871.40/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_0 @ c8 @ (s @ (s @ c5)))))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl19042, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('199', plain, (~ ( (zip_tseitin_0 @ c8 @ (s @ (s @ c5))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl19080, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl10855, plain, 871.40/112.66 (( (zip_tseitin_2 @ c8 @ (s @ (s @ c5)))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c8) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl10834])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl10882, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c8 @ (s @ (s @ c5))) 871.40/112.66 | (zip_tseitin_0 @ c8 @ (s @ (s @ c5))))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl10855, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl18954, plain, 871.40/112.66 (( (zip_tseitin_1 @ c8 @ (s @ (s @ c5)))) 871.40/112.66 <= (( (zip_tseitin_1 @ c8 @ (s @ (s @ c5)))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl10882])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl18958, plain, 871.40/112.66 ((((s @ (s @ c5)) = (c8))) <= (( (zip_tseitin_1 @ c8 @ (s @ (s @ c5)))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl18954, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 871.40/112.66 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 871.40/112.66 thf(zip_derived_cl20512, plain, 871.40/112.66 ((((s @ c8) = (c8))) <= (( (zip_tseitin_1 @ c8 @ (s @ (s @ c5)))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl18958, zip_derived_cl32])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl20651, plain, 871.40/112.66 ((((c1) = (c8))) <= (( (zip_tseitin_1 @ c8 @ (s @ (s @ c5)))))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl20512, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl20785, plain, 871.40/112.66 ((((c1) = (s @ c1))) <= (( (zip_tseitin_1 @ c8 @ (s @ (s @ c5)))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl20651, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl20823, plain, 871.40/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_1 @ c8 @ (s @ (s @ c5)))))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl20785, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('200', plain, (~ ( (zip_tseitin_1 @ c8 @ (s @ (s @ c5))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl20823, zip_derived_cl6754])). 871.40/112.66 thf('201', plain, 871.40/112.66 (~ (((g @ (s @ (s @ c5)) @ c8) = (c5))) | 871.40/112.66 ( (zip_tseitin_1 @ c8 @ (s @ (s @ c5)))) | 871.40/112.66 ( (zip_tseitin_0 @ c8 @ (s @ (s @ c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl10882])). 871.40/112.66 thf(zip_derived_cl12496, plain, 871.40/112.66 ((((g @ c2 @ (s @ (s @ c5))) = (c1))) 871.40/112.66 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12480])). 871.40/112.66 thf(zip_derived_cl6778, plain, 871.40/112.66 ((((g @ c2 @ (s @ (s @ c5))) = (c2))) <= ((((g @ c2 @ c8) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl6762])). 871.40/112.66 thf(zip_derived_cl23986, plain, 871.40/112.66 ((((c1) = (c2))) 871.40/112.66 <= ((((g @ c2 @ c8) = (c4))) & (((g @ c3 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12496, zip_derived_cl6778])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('202', plain, 871.40/112.66 (~ (((g @ c2 @ c8) = (c4))) | ~ (((g @ c3 @ (s @ (s @ c5))) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl23986, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl12653, plain, 871.40/112.66 ((((g @ c2 @ (s @ (s @ c5))) = (c4))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6602])). 871.40/112.66 thf(zip_derived_cl6778, plain, 871.40/112.66 ((((g @ c2 @ (s @ (s @ c5))) = (c2))) <= ((((g @ c2 @ c8) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl6762])). 871.40/112.66 thf(zip_derived_cl12896, plain, 871.40/112.66 ((((c4) = (c2))) 871.40/112.66 <= ((((g @ c2 @ c8) = (c4))) & (((g @ c2 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12653, zip_derived_cl6778])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('203', plain, 871.40/112.66 (~ (((g @ c2 @ c8) = (c4))) | ~ (((g @ c2 @ (s @ (s @ c5))) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl12896, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl30475, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c3))) <= ((((g @ c3 @ c5) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl24063])). 871.40/112.66 thf(zip_derived_cl12473, plain, 871.40/112.66 ((((g @ c3 @ (s @ (s @ c5))) = (c3))) 871.40/112.66 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6589])). 871.40/112.66 thf(zip_derived_cl1978, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c3 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c4 @ X0) = (c3)) 871.40/112.66 | ((g @ c3 @ X0) = (c3)) 871.40/112.66 | ((g @ c3 @ X0) = (c5)) 871.40/112.66 | ((g @ c3 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1947])). 871.40/112.66 thf(zip_derived_cl12478, plain, 871.40/112.66 (((((c3) = (c4)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c3)) 871.40/112.66 | ((g @ c4 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12473, zip_derived_cl1978])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf(zip_derived_cl12494, plain, 871.40/112.66 (((((g @ c3 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c3)) 871.40/112.66 | ((g @ c4 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl12478, zip_derived_cl3704])). 871.40/112.66 thf(zip_derived_cl23953, plain, 871.40/112.66 ((((g @ c3 @ (s @ c5)) = (c4))) <= ((((g @ c3 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12494])). 871.40/112.66 thf(zip_derived_cl12, plain, 871.40/112.66 (![X3 : $i, X4 : $i]: 871.40/112.66 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl23959, plain, 871.40/112.66 (((((c4) != (c4)) | ((g @ c3 @ c5) = (c2)))) 871.40/112.66 <= ((((g @ c3 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl23953, zip_derived_cl12])). 871.40/112.66 thf(zip_derived_cl23973, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c2))) <= ((((g @ c3 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl23959])). 871.40/112.66 thf(zip_derived_cl30477, plain, 871.40/112.66 ((((c3) = (c2))) 871.40/112.66 <= ((((g @ c3 @ (s @ c5)) = (c4))) & (((g @ c3 @ c5) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl30475, zip_derived_cl23973])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('204', plain, 871.40/112.66 (~ (((g @ c3 @ c5) = (c3))) | ~ (((g @ c3 @ (s @ c5)) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl30477, zip_derived_cl5803])). 871.40/112.66 thf(zip_derived_cl30475, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c3))) <= ((((g @ c3 @ c5) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl24063])). 871.40/112.66 thf(zip_derived_cl30433, plain, 871.40/112.66 ((((g @ c4 @ c5) = (c3))) <= ((((g @ c4 @ c5) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl24054])). 871.40/112.66 thf(zip_derived_cl84, plain, 871.40/112.66 (![X0 : $i]: (((g @ c4 @ X0) != (c3)) | ((g @ c3 @ X0) = (c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl30441, plain, 871.40/112.66 (((((c3) != (c3)) | ((g @ c3 @ c5) = (c1)))) 871.40/112.66 <= ((((g @ c4 @ c5) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl30433, zip_derived_cl84])). 871.40/112.66 thf(zip_derived_cl30461, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c1))) <= ((((g @ c4 @ c5) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl30441])). 871.40/112.66 thf(zip_derived_cl30760, plain, 871.40/112.66 ((((c3) = (c1))) <= ((((g @ c4 @ c5) = (c3))) & (((g @ c3 @ c5) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl30475, zip_derived_cl30461])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('205', plain, (~ (((g @ c4 @ c5) = (c3))) | ~ (((g @ c3 @ c5) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl30760, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl12754, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c3))) <= ((((g @ c2 @ c4) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6606])). 871.40/112.66 thf(zip_derived_cl12732, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c4))) <= ((((g @ c2 @ c4) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6605])). 871.40/112.66 thf(zip_derived_cl12757, plain, 871.40/112.66 ((((c3) = (c4))) <= ((((g @ c2 @ c4) = (c4))) & (((g @ c2 @ c4) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12754, zip_derived_cl12732])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf('206', plain, (~ (((g @ c2 @ c4) = (c3))) | ~ (((g @ c2 @ c4) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl12757, zip_derived_cl3704])). 871.40/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl2214, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c1 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c1 @ X0) = (c5)) 871.40/112.66 | ((g @ c1 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2174])). 871.40/112.66 thf(zip_derived_cl7904, plain, 871.40/112.66 ((((g @ c1 @ c3) = (c4)) 871.40/112.66 | ((g @ c1 @ c2) = (c4)) 871.40/112.66 | ((g @ c1 @ c2) = (c5)) 871.40/112.66 | ((g @ c2 @ c2) = (c3)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl2214])). 871.40/112.66 thf(zip_derived_cl14752, plain, 871.40/112.66 ((((g @ c1 @ c3) = (c4))) <= ((((g @ c1 @ c3) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7904])). 871.40/112.66 thf(zip_derived_cl2519, plain, 871.40/112.66 ((((g @ c3 @ c3) = (c1))) <= ((((g @ c3 @ c3) = (c1))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2149])). 871.40/112.66 thf(zip_derived_cl83, plain, 871.40/112.66 (![X0 : $i]: (((g @ c3 @ X0) != (c3)) | ((g @ c2 @ X0) = (c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl2522, plain, 871.40/112.66 (((((c1) != (c3)) | ((g @ c2 @ c3) = (c1)))) 871.40/112.66 <= ((((g @ c3 @ c3) = (c1))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl2519, zip_derived_cl83])). 871.40/112.66 thf(zip_derived_cl2533, plain, 871.40/112.66 (((((c1) != (c3)) | ((g @ c2 @ c3) = (c3)))) 871.40/112.66 <= ((((g @ c3 @ c3) = (c1))))), 871.40/112.66 inference('local_rewriting', [status(thm)], [zip_derived_cl2522])). 871.40/112.66 thf(zip_derived_cl3271, plain, 871.40/112.66 ((((g @ c2 @ c3) = (c3))) <= ((((g @ c2 @ c3) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2533])). 871.40/112.66 thf(zip_derived_cl82, plain, 871.40/112.66 (![X0 : $i]: (((g @ c2 @ X0) != (c3)) | ((g @ c1 @ X0) = (c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl3274, plain, 871.40/112.66 (((((c3) != (c3)) | ((g @ c1 @ c3) = (c1)))) 871.40/112.66 <= ((((g @ c2 @ c3) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl3271, zip_derived_cl82])). 871.40/112.66 thf(zip_derived_cl3289, plain, 871.40/112.66 ((((g @ c1 @ c3) = (c1))) <= ((((g @ c2 @ c3) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl3274])). 871.40/112.66 thf(zip_derived_cl14755, plain, 871.40/112.66 ((((c4) = (c1))) <= ((((g @ c2 @ c3) = (c3))) & (((g @ c1 @ c3) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl14752, zip_derived_cl3289])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('207', plain, (~ (((g @ c2 @ c3) = (c3))) | ~ (((g @ c1 @ c3) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl14755, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl1911, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c2 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c3 @ X0) = (c3)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c2 @ X0) = (c5)) 871.40/112.66 | ((g @ c2 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1873])). 871.40/112.66 thf(zip_derived_cl6591, plain, 871.40/112.66 ((((g @ c2 @ c3) = (c4)) 871.40/112.66 | ((g @ c2 @ c2) = (c4)) 871.40/112.66 | ((g @ c2 @ c2) = (c5)) 871.40/112.66 | ((g @ c2 @ c2) = (c3)) 871.40/112.66 | ((g @ c3 @ c2) = (c3)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1911])). 871.40/112.66 thf(zip_derived_cl12513, plain, 871.40/112.66 ((((g @ c2 @ c3) = (c4))) <= ((((g @ c2 @ c3) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6591])). 871.40/112.66 thf(zip_derived_cl97, plain, 871.40/112.66 (![X0 : $i]: (((g @ X0 @ c3) != (c4)) | ((g @ X0 @ c2) = (c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl12])). 871.40/112.66 thf(zip_derived_cl12521, plain, 871.40/112.66 (((((c4) != (c4)) | ((g @ c2 @ c2) = (c2)))) 871.40/112.66 <= ((((g @ c2 @ c3) = (c4))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12513, zip_derived_cl97])). 871.40/112.66 thf(zip_derived_cl12540, plain, 871.40/112.66 ((((g @ c2 @ c2) = (c2))) <= ((((g @ c2 @ c3) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12521])). 871.40/112.66 thf(zip_derived_cl3073, plain, 871.40/112.66 ((((g @ c2 @ c2) = (c1))) <= ((((g @ c3 @ c2) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl3058])). 871.40/112.66 thf(zip_derived_cl13173, plain, 871.40/112.66 ((((c2) = (c1))) <= ((((g @ c3 @ c2) = (c3))) & (((g @ c2 @ c3) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12540, zip_derived_cl3073])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('208', plain, (~ (((g @ c2 @ c3) = (c4))) | ~ (((g @ c3 @ c2) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl13173, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl12689, plain, 871.40/112.66 ((((g @ c2 @ c2) = (c4))) <= ((((g @ c2 @ c2) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6604])). 871.40/112.66 thf(zip_derived_cl12540, plain, 871.40/112.66 ((((g @ c2 @ c2) = (c2))) <= ((((g @ c2 @ c3) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12521])). 871.40/112.66 thf(zip_derived_cl13180, plain, 871.40/112.66 ((((c4) = (c2))) <= ((((g @ c2 @ c3) = (c4))) & (((g @ c2 @ c2) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12689, zip_derived_cl12540])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('209', plain, (~ (((g @ c2 @ c3) = (c4))) | ~ (((g @ c2 @ c2) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl13180, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl6631, plain, 871.40/112.66 ((((g @ c3 @ c3) = (c3))) <= ((((g @ c3 @ c3) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2521])). 871.40/112.66 thf(zip_derived_cl3322, plain, 871.40/112.66 ((((g @ c3 @ c3) = (c2))) <= ((((g @ c3 @ c4) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl3307])). 871.40/112.66 thf(zip_derived_cl7496, plain, 871.40/112.66 ((((c3) = (c2))) <= ((((g @ c3 @ c4) = (c4))) & (((g @ c3 @ c3) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl6631, zip_derived_cl3322])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('210', plain, (~ (((g @ c3 @ c4) = (c4))) | ~ (((g @ c3 @ c3) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl7496, zip_derived_cl5803])). 871.40/112.66 thf(zip_derived_cl24310, plain, 871.40/112.66 ((((g @ c2 @ (s @ c5)) = (c3))) <= ((((g @ c2 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12913])). 871.40/112.66 thf(zip_derived_cl1911, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c2 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c3 @ X0) = (c3)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c2 @ X0) = (c5)) 871.40/112.66 | ((g @ c2 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1873])). 871.40/112.66 thf(zip_derived_cl24315, plain, 871.40/112.66 (((((c3) = (c4)) 871.40/112.66 | ((g @ c2 @ c5) = (c4)) 871.40/112.66 | ((g @ c2 @ c5) = (c5)) 871.40/112.66 | ((g @ c2 @ c5) = (c3)) 871.40/112.66 | ((g @ c3 @ c5) = (c3)))) <= ((((g @ c2 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl24310, zip_derived_cl1911])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf(zip_derived_cl24335, plain, 871.40/112.66 (((((g @ c2 @ c5) = (c4)) 871.40/112.66 | ((g @ c2 @ c5) = (c5)) 871.40/112.66 | ((g @ c2 @ c5) = (c3)) 871.40/112.66 | ((g @ c3 @ c5) = (c3)))) <= ((((g @ c2 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl24315, zip_derived_cl3704])). 871.40/112.66 thf('211', plain, 871.40/112.66 (~ (((g @ c2 @ (s @ c5)) = (c3))) | (((g @ c2 @ c5) = (c3))) | 871.40/112.66 (((g @ c2 @ c5) = (c5))) | (((g @ c3 @ c5) = (c3))) | 871.40/112.66 (((g @ c2 @ c5) = (c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl24335])). 871.40/112.66 thf(zip_derived_cl12611, plain, 871.40/112.66 ((((g @ c2 @ c5) = (c4))) <= ((((g @ c2 @ c5) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6593])). 871.40/112.66 thf(zip_derived_cl99, plain, 871.40/112.66 (![X0 : $i]: (((g @ X0 @ c5) != (c4)) | ((g @ X0 @ c4) = (c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl12])). 871.40/112.66 thf(zip_derived_cl13485, plain, 871.40/112.66 (((((c4) != (c4)) | ((g @ c2 @ c4) = (c2)))) 871.40/112.66 <= ((((g @ c2 @ c5) = (c4))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12611, zip_derived_cl99])). 871.40/112.66 thf(zip_derived_cl13499, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c2))) <= ((((g @ c2 @ c5) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl13485])). 871.40/112.66 thf(zip_derived_cl12607, plain, 871.40/112.66 ((((g @ c3 @ c4) = (c3))) <= ((((g @ c3 @ c4) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6593])). 871.40/112.66 thf(zip_derived_cl83, plain, 871.40/112.66 (![X0 : $i]: (((g @ c3 @ X0) != (c3)) | ((g @ c2 @ X0) = (c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl12614, plain, 871.40/112.66 (((((c3) != (c3)) | ((g @ c2 @ c4) = (c1)))) 871.40/112.66 <= ((((g @ c3 @ c4) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12607, zip_derived_cl83])). 871.40/112.66 thf(zip_derived_cl12630, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c1))) <= ((((g @ c3 @ c4) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12614])). 871.40/112.66 thf(zip_derived_cl15113, plain, 871.40/112.66 ((((c2) = (c1))) <= ((((g @ c3 @ c4) = (c3))) & (((g @ c2 @ c5) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl13499, zip_derived_cl12630])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('212', plain, (~ (((g @ c3 @ c4) = (c3))) | ~ (((g @ c2 @ c5) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl15113, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl12754, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c3))) <= ((((g @ c2 @ c4) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6606])). 871.40/112.66 thf(zip_derived_cl12630, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c1))) <= ((((g @ c3 @ c4) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12614])). 871.40/112.66 thf(zip_derived_cl13689, plain, 871.40/112.66 ((((c3) = (c1))) <= ((((g @ c3 @ c4) = (c3))) & (((g @ c2 @ c4) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12754, zip_derived_cl12630])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('213', plain, (~ (((g @ c3 @ c4) = (c3))) | ~ (((g @ c2 @ c4) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl13689, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl30519, plain, 871.40/112.66 ((((g @ c2 @ c5) = (c3))) <= ((((g @ c2 @ c5) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl24217])). 871.40/112.66 thf(zip_derived_cl82, plain, 871.40/112.66 (![X0 : $i]: (((g @ c2 @ X0) != (c3)) | ((g @ c1 @ X0) = (c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl30524, plain, 871.40/112.66 (((((c3) != (c3)) | ((g @ c1 @ c5) = (c1)))) 871.40/112.66 <= ((((g @ c2 @ c5) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl30519, zip_derived_cl82])). 871.40/112.66 thf(zip_derived_cl30542, plain, 871.40/112.66 ((((g @ c1 @ c5) = (c1))) <= ((((g @ c2 @ c5) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl30524])). 871.40/112.66 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl2214, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c1 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c1 @ X0) = (c5)) 871.40/112.66 | ((g @ c1 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2174])). 871.40/112.66 thf(zip_derived_cl7919, plain, 871.40/112.66 ((((g @ c1 @ c5) = (c4)) 871.40/112.66 | ((g @ c1 @ c4) = (c4)) 871.40/112.66 | ((g @ c1 @ c4) = (c5)) 871.40/112.66 | ((g @ c2 @ c4) = (c3)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl2214])). 871.40/112.66 thf(zip_derived_cl14989, plain, 871.40/112.66 ((((g @ c1 @ c5) = (c4))) <= ((((g @ c1 @ c5) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7919])). 871.40/112.66 thf(zip_derived_cl31068, plain, 871.40/112.66 ((((c1) = (c4))) <= ((((g @ c1 @ c5) = (c4))) & (((g @ c2 @ c5) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl30542, zip_derived_cl14989])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('214', plain, (~ (((g @ c2 @ c5) = (c3))) | ~ (((g @ c1 @ c5) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl31068, zip_derived_cl2825])). 871.40/112.66 thf('215', plain, 871.40/112.66 ((((g @ c5 @ c8) = (c4))) | (((g @ c5 @ c8) = (c3))) | 871.40/112.66 (((g @ c5 @ c8) = (c5))) | ~ (((g @ (s @ (s @ c5)) @ c8) = (c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl10068])). 871.40/112.66 thf(zip_derived_cl6198, plain, 871.40/112.66 ((((g @ (s @ c5) @ c8) = (c1))) <= ((((g @ (s @ (s @ c5)) @ c8) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl6179])). 871.40/112.66 thf(zip_derived_cl165, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 (((g @ (s @ X1) @ X0) = (c3)) 871.40/112.66 | ((g @ X1 @ X0) = (c2)) 871.40/112.66 | ((g @ X1 @ X0) = (c4)) 871.40/112.66 | ((g @ X1 @ X0) = (c5)) 871.40/112.66 | ((g @ X1 @ X0) = (c3)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl136])). 871.40/112.66 thf(zip_derived_cl10061, plain, 871.40/112.66 (((((c1) = (c3)) 871.40/112.66 | ((g @ c5 @ c8) = (c3)) 871.40/112.66 | ((g @ c5 @ c8) = (c5)) 871.40/112.66 | ((g @ c5 @ c8) = (c4)) 871.40/112.66 | ((g @ c5 @ c8) = (c2)))) <= ((((g @ (s @ (s @ c5)) @ c8) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl6198, zip_derived_cl165])). 871.40/112.66 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf(zip_derived_cl10073, plain, 871.40/112.66 (((((g @ c5 @ c8) = (c3)) 871.40/112.66 | ((g @ c5 @ c8) = (c5)) 871.40/112.66 | ((g @ c5 @ c8) = (c4)))) <= ((((g @ (s @ (s @ c5)) @ c8) = (c3))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl10061, zip_derived_cl21, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl17767, plain, 871.40/112.66 ((((g @ c5 @ c8) = (c5))) <= ((((g @ c5 @ c8) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl10073])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl17774, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c8 @ c5))) 871.40/112.66 <= ((((g @ c5 @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl17767, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl17791, plain, 871.40/112.66 (( (zip_tseitin_2 @ c8 @ c5)) <= ((((g @ c5 @ c8) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl17774])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl17805, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c8 @ c5) | (zip_tseitin_0 @ c8 @ c5))) 871.40/112.66 <= ((((g @ c5 @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl17791, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl26925, plain, 871.40/112.66 (( (zip_tseitin_0 @ c8 @ c5)) <= (( (zip_tseitin_0 @ c8 @ c5)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl17805])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl26927, plain, 871.40/112.66 ((((c5) = (c1))) <= (( (zip_tseitin_0 @ c8 @ c5)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl26925, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl51, plain, (((c5) != (c1))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl35, zip_derived_cl19, zip_derived_cl18, 871.40/112.66 zip_derived_cl17])). 871.40/112.66 thf('216', plain, (~ ( (zip_tseitin_0 @ c8 @ c5))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl26927, zip_derived_cl51])). 871.40/112.66 thf(zip_derived_cl17791, plain, 871.40/112.66 (( (zip_tseitin_2 @ c8 @ c5)) <= ((((g @ c5 @ c8) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl17774])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl17807, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c8 @ c5) | (zip_tseitin_0 @ c8 @ c5))) 871.40/112.66 <= ((((g @ c5 @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl17791, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl26936, plain, 871.40/112.66 (( (zip_tseitin_1 @ c8 @ c5)) <= (( (zip_tseitin_1 @ c8 @ c5)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl17807])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl26939, plain, 871.40/112.66 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ c8 @ c5)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl26936, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl27007, plain, 871.40/112.66 ((((c1) = (s @ c5))) <= (( (zip_tseitin_1 @ c8 @ c5)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl26939, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 871.40/112.66 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 871.40/112.66 thf(zip_derived_cl27364, plain, 871.40/112.66 ((((s @ (s @ c1)) = (c8))) <= (( (zip_tseitin_1 @ c8 @ c5)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl27007, zip_derived_cl32])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl26939, plain, 871.40/112.66 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ c8 @ c5)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl26936, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl27698, plain, 871.40/112.66 ((((c3) = (c5))) <= (( (zip_tseitin_1 @ c8 @ c5)))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl27364, zip_derived_cl15, zip_derived_cl19, 871.40/112.66 zip_derived_cl26939])). 871.40/112.66 thf(zip_derived_cl186, plain, (((c5) != (c3))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl22])). 871.40/112.66 thf('217', plain, (~ ( (zip_tseitin_1 @ c8 @ c5))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl27698, zip_derived_cl186])). 871.40/112.66 thf('218', plain, 871.40/112.66 (~ (((g @ c5 @ c8) = (c5))) | ( (zip_tseitin_1 @ c8 @ c5)) | 871.40/112.66 ( (zip_tseitin_0 @ c8 @ c5))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl17805])). 871.40/112.66 thf(zip_derived_cl7477, plain, 871.40/112.66 ((((g @ c4 @ c8) = (c1))) <= ((((g @ c5 @ c8) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl7463])). 871.40/112.66 thf(zip_derived_cl7021, plain, 871.40/112.66 ((((g @ c4 @ c8) = (c3))) <= ((((g @ c4 @ c8) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1970])). 871.40/112.66 thf(zip_derived_cl9485, plain, 871.40/112.66 ((((c1) = (c3))) <= ((((g @ c4 @ c8) = (c3))) & (((g @ c5 @ c8) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl7477, zip_derived_cl7021])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('219', plain, (~ (((g @ c5 @ c8) = (c3))) | ~ (((g @ c4 @ c8) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl9485, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl17753, plain, 871.40/112.66 ((((g @ c5 @ (s @ (s @ c5))) = (c2))) <= ((((g @ c5 @ c8) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl17736])). 871.40/112.66 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 871.40/112.66 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 871.40/112.66 thf(zip_derived_cl2040, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c4 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c5 @ X0) = (c3)) 871.40/112.66 | ((g @ c4 @ X0) = (c3)) 871.40/112.66 | ((g @ c4 @ X0) = (c5)) 871.40/112.66 | ((g @ c4 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2010])). 871.40/112.66 thf(zip_derived_cl7577, plain, 871.40/112.66 ((((g @ c4 @ c8) = (c4)) 871.40/112.66 | ((g @ c4 @ (s @ (s @ c5))) = (c4)) 871.40/112.66 | ((g @ c4 @ (s @ (s @ c5))) = (c5)) 871.40/112.66 | ((g @ c4 @ (s @ (s @ c5))) = (c3)) 871.40/112.66 | ((g @ c5 @ (s @ (s @ c5))) = (c3)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl2040])). 871.40/112.66 thf(zip_derived_cl14088, plain, 871.40/112.66 ((((g @ c5 @ (s @ (s @ c5))) = (c3))) 871.40/112.66 <= ((((g @ c5 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7577])). 871.40/112.66 thf(zip_derived_cl26899, plain, 871.40/112.66 ((((c2) = (c3))) 871.40/112.66 <= ((((g @ c5 @ (s @ (s @ c5))) = (c3))) & (((g @ c5 @ c8) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl17753, zip_derived_cl14088])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('220', plain, 871.40/112.66 (~ (((g @ c5 @ c8) = (c4))) | ~ (((g @ c5 @ (s @ (s @ c5))) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl26899, zip_derived_cl5803])). 871.40/112.66 thf('221', plain, 871.40/112.66 ((((g @ c4 @ c4) = (c3))) | (((g @ c3 @ c4) = (c4))) | 871.40/112.66 (((g @ c3 @ c4) = (c5))) | (((g @ c3 @ c5) = (c4))) | 871.40/112.66 (((g @ c3 @ c4) = (c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7114])). 871.40/112.66 thf(zip_derived_cl13357, plain, 871.40/112.66 ((((g @ c3 @ c4) = (c5))) <= ((((g @ c3 @ c4) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7114])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl13993, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c4 @ c3))) 871.40/112.66 <= ((((g @ c3 @ c4) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl13357, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl14010, plain, 871.40/112.66 (( (zip_tseitin_2 @ c4 @ c3)) <= ((((g @ c3 @ c4) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl13993])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl14031, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c4 @ c3) | (zip_tseitin_0 @ c4 @ c3))) 871.40/112.66 <= ((((g @ c3 @ c4) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl14010, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl24931, plain, 871.40/112.66 (( (zip_tseitin_1 @ c4 @ c3)) <= (( (zip_tseitin_1 @ c4 @ c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl14031])). 871.40/112.66 thf(zip_derived_cl4, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl24934, plain, 871.40/112.66 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ c4 @ c3)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24931, zip_derived_cl4])). 871.40/112.66 thf(zip_derived_cl49, plain, (((c4) != (c8))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 871.40/112.66 zip_derived_cl18])). 871.40/112.66 thf('222', plain, (~ ( (zip_tseitin_1 @ c4 @ c3))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl24934, zip_derived_cl49])). 871.40/112.66 thf(zip_derived_cl14010, plain, 871.40/112.66 (( (zip_tseitin_2 @ c4 @ c3)) <= ((((g @ c3 @ c4) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl13993])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl14033, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c4 @ c3) | (zip_tseitin_0 @ c4 @ c3))) 871.40/112.66 <= ((((g @ c3 @ c4) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl14010, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl25014, plain, 871.40/112.66 (( (zip_tseitin_0 @ c4 @ c3)) <= (( (zip_tseitin_0 @ c4 @ c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl14033])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl25015, plain, 871.40/112.66 ((((c3) = (c1))) <= (( (zip_tseitin_0 @ c4 @ c3)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl25014, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('223', plain, (~ ( (zip_tseitin_0 @ c4 @ c3))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl25015, zip_derived_cl4494])). 871.40/112.66 thf('224', plain, 871.40/112.66 (~ (((g @ c3 @ c4) = (c5))) | ( (zip_tseitin_0 @ c4 @ c3)) | 871.40/112.66 ( (zip_tseitin_1 @ c4 @ c3))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl14031])). 871.40/112.66 thf(zip_derived_cl4950, plain, 871.40/112.66 ((((g @ c3 @ c3) = (c4))) <= ((((g @ c3 @ c3) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl3078])). 871.40/112.66 thf(zip_derived_cl3322, plain, 871.40/112.66 ((((g @ c3 @ c3) = (c2))) <= ((((g @ c3 @ c4) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl3307])). 871.40/112.66 thf(zip_derived_cl7497, plain, 871.40/112.66 ((((c4) = (c2))) <= ((((g @ c3 @ c4) = (c4))) & (((g @ c3 @ c3) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl4950, zip_derived_cl3322])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('225', plain, (~ (((g @ c3 @ c4) = (c4))) | ~ (((g @ c3 @ c3) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl7497, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl12732, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c4))) <= ((((g @ c2 @ c4) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6605])). 871.40/112.66 thf(zip_derived_cl12630, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c1))) <= ((((g @ c3 @ c4) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12614])). 871.40/112.66 thf(zip_derived_cl13690, plain, 871.40/112.66 ((((c4) = (c1))) <= ((((g @ c2 @ c4) = (c4))) & (((g @ c3 @ c4) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12732, zip_derived_cl12630])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('226', plain, (~ (((g @ c3 @ c4) = (c3))) | ~ (((g @ c2 @ c4) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl13690, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl18506, plain, 871.40/112.66 ((((g @ c5 @ (s @ (s @ c5))) = (c4))) <= ((((g @ c5 @ (s @ c5)) = (c2))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl18490])). 871.40/112.66 thf(zip_derived_cl14088, plain, 871.40/112.66 ((((g @ c5 @ (s @ (s @ c5))) = (c3))) 871.40/112.66 <= ((((g @ c5 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7577])). 871.40/112.66 thf(zip_derived_cl27901, plain, 871.40/112.66 ((((c4) = (c3))) 871.40/112.66 <= ((((g @ c5 @ (s @ (s @ c5))) = (c3))) & 871.40/112.66 (((g @ c5 @ (s @ c5)) = (c2))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl18506, zip_derived_cl14088])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf('227', plain, 871.40/112.66 (~ (((g @ c5 @ (s @ c5)) = (c2))) | 871.40/112.66 ~ (((g @ c5 @ (s @ (s @ c5))) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl27901, zip_derived_cl3704])). 871.40/112.66 thf(zip_derived_cl12653, plain, 871.40/112.66 ((((g @ c2 @ (s @ (s @ c5))) = (c4))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6602])). 871.40/112.66 thf(zip_derived_cl12475, plain, 871.40/112.66 ((((g @ c2 @ (s @ (s @ c5))) = (c3))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6589])). 871.40/112.66 thf(zip_derived_cl23872, plain, 871.40/112.66 ((((c4) = (c3))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))) & 871.40/112.66 (((g @ c2 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12653, zip_derived_cl12475])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf('228', plain, 871.40/112.66 (~ (((g @ c2 @ (s @ (s @ c5))) = (c3))) | 871.40/112.66 ~ (((g @ c2 @ (s @ (s @ c5))) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl23872, zip_derived_cl3704])). 871.40/112.66 thf(zip_derived_cl6631, plain, 871.40/112.66 ((((g @ c3 @ c3) = (c3))) <= ((((g @ c3 @ c3) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2521])). 871.40/112.66 thf(zip_derived_cl4950, plain, 871.40/112.66 ((((g @ c3 @ c3) = (c4))) <= ((((g @ c3 @ c3) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl3078])). 871.40/112.66 thf(zip_derived_cl6634, plain, 871.40/112.66 ((((c3) = (c4))) <= ((((g @ c3 @ c3) = (c4))) & (((g @ c3 @ c3) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl6631, zip_derived_cl4950])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf('229', plain, (~ (((g @ c3 @ c3) = (c4))) | ~ (((g @ c3 @ c3) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl6634, zip_derived_cl3704])). 871.40/112.66 thf('230', plain, 871.40/112.66 ((((g @ c4 @ c2) = (c3))) | (((g @ c3 @ c2) = (c3))) | 871.40/112.66 (((g @ c3 @ c2) = (c5))) | (((g @ c3 @ c3) = (c4))) | 871.40/112.66 (((g @ c3 @ c2) = (c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7112])). 871.40/112.66 thf(zip_derived_cl13298, plain, 871.40/112.66 ((((g @ c3 @ c2) = (c5))) <= ((((g @ c3 @ c2) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7112])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl13877, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c2 @ c3))) 871.40/112.66 <= ((((g @ c3 @ c2) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl13298, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl13897, plain, 871.40/112.66 (( (zip_tseitin_2 @ c2 @ c3)) <= ((((g @ c3 @ c2) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl13877])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl13919, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c2 @ c3) | (zip_tseitin_0 @ c2 @ c3))) 871.40/112.66 <= ((((g @ c3 @ c2) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl13897, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl24920, plain, 871.40/112.66 (( (zip_tseitin_0 @ c2 @ c3)) <= (( (zip_tseitin_0 @ c2 @ c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl13919])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl24921, plain, 871.40/112.66 ((((c3) = (c1))) <= (( (zip_tseitin_0 @ c2 @ c3)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24920, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('231', plain, (~ ( (zip_tseitin_0 @ c2 @ c3))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl24921, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl13897, plain, 871.40/112.66 (( (zip_tseitin_2 @ c2 @ c3)) <= ((((g @ c3 @ c2) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl13877])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl13917, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c2 @ c3) | (zip_tseitin_0 @ c2 @ c3))) 871.40/112.66 <= ((((g @ c3 @ c2) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl13897, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl24911, plain, 871.40/112.66 (( (zip_tseitin_1 @ c2 @ c3)) <= (( (zip_tseitin_1 @ c2 @ c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl13917])). 871.40/112.66 thf(zip_derived_cl4, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl24917, plain, 871.40/112.66 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ c2 @ c3)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24911, zip_derived_cl4])). 871.40/112.66 thf(zip_derived_cl24911, plain, 871.40/112.66 (( (zip_tseitin_1 @ c2 @ c3)) <= (( (zip_tseitin_1 @ c2 @ c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl13917])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl24915, plain, 871.40/112.66 ((((c3) = (c8))) <= (( (zip_tseitin_1 @ c2 @ c3)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24911, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl25149, plain, 871.40/112.66 ((((c2) = (c3))) <= (( (zip_tseitin_1 @ c2 @ c3)))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl24917, zip_derived_cl24915])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('232', plain, (~ ( (zip_tseitin_1 @ c2 @ c3))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl25149, zip_derived_cl5803])). 871.40/112.66 thf('233', plain, 871.40/112.66 (~ (((g @ c3 @ c2) = (c5))) | ( (zip_tseitin_1 @ c2 @ c3)) | 871.40/112.66 ( (zip_tseitin_0 @ c2 @ c3))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl13917])). 871.40/112.66 thf('234', plain, 871.40/112.66 ((((g @ c3 @ c1) = (c3))) | (((g @ c2 @ c2) = (c4))) | 871.40/112.66 (((g @ c2 @ c1) = (c3))) | (((g @ c2 @ c1) = (c5)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6608])). 871.40/112.66 thf(zip_derived_cl12812, plain, 871.40/112.66 ((((g @ c2 @ c1) = (c3))) <= ((((g @ c2 @ c1) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6608])). 871.40/112.66 thf(zip_derived_cl82, plain, 871.40/112.66 (![X0 : $i]: (((g @ c2 @ X0) != (c3)) | ((g @ c1 @ X0) = (c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl12856, plain, 871.40/112.66 (((((c3) != (c3)) | ((g @ c1 @ c1) = (c1)))) 871.40/112.66 <= ((((g @ c2 @ c1) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12812, zip_derived_cl82])). 871.40/112.66 thf(zip_derived_cl176, plain, (((g @ c1 @ c1) = (c5))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl24])). 871.40/112.66 thf(zip_derived_cl12870, plain, 871.40/112.66 (((((c3) != (c3)) | ((c5) = (c1)))) <= ((((g @ c2 @ c1) = (c3))))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl12856, zip_derived_cl176])). 871.40/112.66 thf(zip_derived_cl12871, plain, 871.40/112.66 ((((c5) = (c1))) <= ((((g @ c2 @ c1) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12870])). 871.40/112.66 thf(zip_derived_cl51, plain, (((c5) != (c1))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl35, zip_derived_cl19, zip_derived_cl18, 871.40/112.66 zip_derived_cl17])). 871.40/112.66 thf('235', plain, (~ (((g @ c2 @ c1) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl12871, zip_derived_cl51])). 871.40/112.66 thf(zip_derived_cl12813, plain, 871.40/112.66 ((((g @ c2 @ c1) = (c5))) <= ((((g @ c2 @ c1) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6608])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl12926, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c1 @ c2))) 871.40/112.66 <= ((((g @ c2 @ c1) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12813, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl12941, plain, 871.40/112.66 (( (zip_tseitin_2 @ c1 @ c2)) <= ((((g @ c2 @ c1) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12926])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl12963, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c1 @ c2) | (zip_tseitin_0 @ c1 @ c2))) 871.40/112.66 <= ((((g @ c2 @ c1) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12941, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl24364, plain, 871.40/112.66 (( (zip_tseitin_0 @ c1 @ c2)) <= (( (zip_tseitin_0 @ c1 @ c2)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12963])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl24365, plain, 871.40/112.66 ((((c2) = (c1))) <= (( (zip_tseitin_0 @ c1 @ c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24364, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('236', plain, (~ ( (zip_tseitin_0 @ c1 @ c2))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl24365, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl12941, plain, 871.40/112.66 (( (zip_tseitin_2 @ c1 @ c2)) <= ((((g @ c2 @ c1) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12926])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl12961, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c1 @ c2) | (zip_tseitin_0 @ c1 @ c2))) 871.40/112.66 <= ((((g @ c2 @ c1) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12941, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl24355, plain, 871.40/112.66 (( (zip_tseitin_1 @ c1 @ c2)) <= (( (zip_tseitin_1 @ c1 @ c2)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12961])). 871.40/112.66 thf(zip_derived_cl4, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl24358, plain, 871.40/112.66 ((((c1) = (c8))) <= (( (zip_tseitin_1 @ c1 @ c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24355, zip_derived_cl4])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl24434, plain, 871.40/112.66 ((((c1) = (s @ c1))) <= (( (zip_tseitin_1 @ c1 @ c2)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl24358, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl24472, plain, 871.40/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_1 @ c1 @ c2)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl24434, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('237', plain, (~ ( (zip_tseitin_1 @ c1 @ c2))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl24472, zip_derived_cl6754])). 871.40/112.66 thf('238', plain, 871.40/112.66 (~ (((g @ c2 @ c1) = (c5))) | ( (zip_tseitin_1 @ c1 @ c2)) | 871.40/112.66 ( (zip_tseitin_0 @ c1 @ c2))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12961])). 871.40/112.66 thf(zip_derived_cl12515, plain, 871.40/112.66 ((((g @ c2 @ c2) = (c3))) <= ((((g @ c2 @ c2) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6591])). 871.40/112.66 thf(zip_derived_cl3073, plain, 871.40/112.66 ((((g @ c2 @ c2) = (c1))) <= ((((g @ c3 @ c2) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl3058])). 871.40/112.66 thf(zip_derived_cl13068, plain, 871.40/112.66 ((((c3) = (c1))) <= ((((g @ c3 @ c2) = (c3))) & (((g @ c2 @ c2) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12515, zip_derived_cl3073])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('239', plain, (~ (((g @ c3 @ c2) = (c3))) | ~ (((g @ c2 @ c2) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl13068, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl12689, plain, 871.40/112.66 ((((g @ c2 @ c2) = (c4))) <= ((((g @ c2 @ c2) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6604])). 871.40/112.66 thf(zip_derived_cl12515, plain, 871.40/112.66 ((((g @ c2 @ c2) = (c3))) <= ((((g @ c2 @ c2) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6591])). 871.40/112.66 thf(zip_derived_cl13076, plain, 871.40/112.66 ((((c4) = (c3))) <= ((((g @ c2 @ c2) = (c4))) & (((g @ c2 @ c2) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12689, zip_derived_cl12515])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf('240', plain, (~ (((g @ c2 @ c2) = (c3))) | ~ (((g @ c2 @ c2) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl13076, zip_derived_cl3704])). 871.40/112.66 thf(zip_derived_cl13538, plain, 871.40/112.66 ((((g @ c3 @ c1) = (c2))) <= ((((g @ c3 @ c2) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl13520])). 871.40/112.66 thf(zip_derived_cl12810, plain, 871.40/112.66 ((((g @ c3 @ c1) = (c3))) <= ((((g @ c3 @ c1) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6608])). 871.40/112.66 thf(zip_derived_cl15165, plain, 871.40/112.66 ((((c2) = (c3))) <= ((((g @ c3 @ c1) = (c3))) & (((g @ c3 @ c2) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl13538, zip_derived_cl12810])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('241', plain, (~ (((g @ c3 @ c2) = (c4))) | ~ (((g @ c3 @ c1) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl15165, zip_derived_cl5803])). 871.40/112.66 thf(zip_derived_cl14989, plain, 871.40/112.66 ((((g @ c1 @ c5) = (c4))) <= ((((g @ c1 @ c5) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7919])). 871.40/112.66 thf(zip_derived_cl99, plain, 871.40/112.66 (![X0 : $i]: (((g @ X0 @ c5) != (c4)) | ((g @ X0 @ c4) = (c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl12])). 871.40/112.66 thf(zip_derived_cl14992, plain, 871.40/112.66 (((((c4) != (c4)) | ((g @ c1 @ c4) = (c2)))) 871.40/112.66 <= ((((g @ c1 @ c5) = (c4))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl14989, zip_derived_cl99])). 871.40/112.66 thf(zip_derived_cl15005, plain, 871.40/112.66 ((((g @ c1 @ c4) = (c2))) <= ((((g @ c1 @ c5) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl14992])). 871.40/112.66 thf(zip_derived_cl14787, plain, 871.40/112.66 ((((g @ c1 @ c4) = (c4))) <= ((((g @ c1 @ c4) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7905])). 871.40/112.66 thf(zip_derived_cl17857, plain, 871.40/112.66 ((((c2) = (c4))) <= ((((g @ c1 @ c4) = (c4))) & (((g @ c1 @ c5) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl15005, zip_derived_cl14787])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('242', plain, (~ (((g @ c1 @ c4) = (c4))) | ~ (((g @ c1 @ c5) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl17857, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl12496, plain, 871.40/112.66 ((((g @ c2 @ (s @ (s @ c5))) = (c1))) 871.40/112.66 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12480])). 871.40/112.66 thf(zip_derived_cl12475, plain, 871.40/112.66 ((((g @ c2 @ (s @ (s @ c5))) = (c3))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6589])). 871.40/112.66 thf(zip_derived_cl23985, plain, 871.40/112.66 ((((c1) = (c3))) 871.40/112.66 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))) & 871.40/112.66 (((g @ c2 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12496, zip_derived_cl12475])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('243', plain, 871.40/112.66 (~ (((g @ c2 @ (s @ (s @ c5))) = (c3))) | 871.40/112.66 ~ (((g @ c3 @ (s @ (s @ c5))) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl23985, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl12475, plain, 871.40/112.66 ((((g @ c2 @ (s @ (s @ c5))) = (c3))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6589])). 871.40/112.66 thf(zip_derived_cl82, plain, 871.40/112.66 (![X0 : $i]: (((g @ c2 @ X0) != (c3)) | ((g @ c1 @ X0) = (c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl23866, plain, 871.40/112.66 (((((c3) != (c3)) | ((g @ c1 @ (s @ (s @ c5))) = (c1)))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12475, zip_derived_cl82])). 871.40/112.66 thf(zip_derived_cl23887, plain, 871.40/112.66 ((((g @ c1 @ (s @ (s @ c5))) = (c1))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl23866])). 871.40/112.66 thf(zip_derived_cl634, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c1 @ X0) = (c5)) 871.40/112.66 | ((g @ c1 @ X0) = (c4)) 871.40/112.66 | ((g @ c1 @ X0) = (c2)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl608, zip_derived_cl22])). 871.40/112.66 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl2183, plain, 871.40/112.66 ((((c2) != (c2)) 871.40/112.66 | ((g @ c1 @ c8) = (c4)) 871.40/112.66 | ((g @ c1 @ c8) = (c5)) 871.40/112.66 | ((g @ c2 @ c8) = (c3)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl21])). 871.40/112.66 thf(zip_derived_cl2222, plain, 871.40/112.66 ((((g @ c2 @ c8) = (c3)) 871.40/112.66 | ((g @ c1 @ c8) = (c5)) 871.40/112.66 | ((g @ c1 @ c8) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2183])). 871.40/112.66 thf(zip_derived_cl8023, plain, 871.40/112.66 ((((g @ c1 @ c8) = (c4))) <= ((((g @ c1 @ c8) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2222])). 871.40/112.66 thf(zip_derived_cl95, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ X0 @ c8) != (c4)) | ((g @ X0 @ (s @ (s @ c5))) = (c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl12])). 871.40/112.66 thf(zip_derived_cl8027, plain, 871.40/112.66 (((((c4) != (c4)) | ((g @ c1 @ (s @ (s @ c5))) = (c2)))) 871.40/112.66 <= ((((g @ c1 @ c8) = (c4))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl8023, zip_derived_cl95])). 871.40/112.66 thf(zip_derived_cl8042, plain, 871.40/112.66 ((((g @ c1 @ (s @ (s @ c5))) = (c2))) <= ((((g @ c1 @ c8) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl8027])). 871.40/112.66 thf(zip_derived_cl29804, plain, 871.40/112.66 ((((c1) = (c2))) 871.40/112.66 <= ((((g @ c1 @ c8) = (c4))) & (((g @ c2 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl23887, zip_derived_cl8042])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('244', plain, 871.40/112.66 (~ (((g @ c2 @ (s @ (s @ c5))) = (c3))) | ~ (((g @ c1 @ c8) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl29804, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl1911, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c2 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c3 @ X0) = (c3)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c2 @ X0) = (c5)) 871.40/112.66 | ((g @ c2 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1873])). 871.40/112.66 thf(zip_derived_cl6592, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c4)) 871.40/112.66 | ((g @ c2 @ c3) = (c4)) 871.40/112.66 | ((g @ c2 @ c3) = (c5)) 871.40/112.66 | ((g @ c2 @ c3) = (c3)) 871.40/112.66 | ((g @ c3 @ c3) = (c3)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1911])). 871.40/112.66 thf('245', plain, 871.40/112.66 ((((g @ c2 @ c4) = (c4))) | (((g @ c2 @ c3) = (c3))) | 871.40/112.66 (((g @ c2 @ c3) = (c5))) | (((g @ c3 @ c3) = (c3))) | 871.40/112.66 (((g @ c2 @ c3) = (c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6592])). 871.40/112.66 thf(zip_derived_cl12561, plain, 871.40/112.66 ((((g @ c2 @ c3) = (c5))) <= ((((g @ c2 @ c3) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6592])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl12569, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c3 @ c2))) 871.40/112.66 <= ((((g @ c2 @ c3) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12561, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl12589, plain, 871.40/112.66 (( (zip_tseitin_2 @ c3 @ c2)) <= ((((g @ c2 @ c3) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12569])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl12651, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c3 @ c2) | (zip_tseitin_0 @ c3 @ c2))) 871.40/112.66 <= ((((g @ c2 @ c3) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12589, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl24114, plain, 871.40/112.66 (( (zip_tseitin_0 @ c3 @ c2)) <= (( (zip_tseitin_0 @ c3 @ c2)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12651])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl24115, plain, 871.40/112.66 ((((c2) = (c1))) <= (( (zip_tseitin_0 @ c3 @ c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24114, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('246', plain, (~ ( (zip_tseitin_0 @ c3 @ c2))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl24115, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl12589, plain, 871.40/112.66 (( (zip_tseitin_2 @ c3 @ c2)) <= ((((g @ c2 @ c3) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12569])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl12649, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c3 @ c2) | (zip_tseitin_0 @ c3 @ c2))) 871.40/112.66 <= ((((g @ c2 @ c3) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12589, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl24105, plain, 871.40/112.66 (( (zip_tseitin_1 @ c3 @ c2)) <= (( (zip_tseitin_1 @ c3 @ c2)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12649])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl24109, plain, 871.40/112.66 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ c3 @ c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24105, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl24105, plain, 871.40/112.66 (( (zip_tseitin_1 @ c3 @ c2)) <= (( (zip_tseitin_1 @ c3 @ c2)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12649])). 871.40/112.66 thf(zip_derived_cl4, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl24108, plain, 871.40/112.66 ((((c3) = (c8))) <= (( (zip_tseitin_1 @ c3 @ c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24105, zip_derived_cl4])). 871.40/112.66 thf(zip_derived_cl24199, plain, 871.40/112.66 ((((c2) = (c3))) <= (( (zip_tseitin_1 @ c3 @ c2)))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl24109, zip_derived_cl24108])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('247', plain, (~ ( (zip_tseitin_1 @ c3 @ c2))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl24199, zip_derived_cl5803])). 871.40/112.66 thf('248', plain, 871.40/112.66 (~ (((g @ c2 @ c3) = (c5))) | ( (zip_tseitin_1 @ c3 @ c2)) | 871.40/112.66 ( (zip_tseitin_0 @ c3 @ c2))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12649])). 871.40/112.66 thf('249', plain, 871.40/112.66 ((((g @ c1 @ c3) = (c4))) | (((g @ c2 @ c2) = (c3))) | 871.40/112.66 (((g @ c1 @ c2) = (c4))) | (((g @ c1 @ c2) = (c5)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7904])). 871.40/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl2214, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c1 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c1 @ X0) = (c5)) 871.40/112.66 | ((g @ c1 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2174])). 871.40/112.66 thf(zip_derived_cl7917, plain, 871.40/112.66 ((((g @ c1 @ c3) = (c4)) 871.40/112.66 | ((g @ c1 @ c2) = (c4)) 871.40/112.66 | ((g @ c1 @ c2) = (c5)) 871.40/112.66 | ((g @ c2 @ c2) = (c3)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl2214])). 871.40/112.66 thf(zip_derived_cl14909, plain, 871.40/112.66 ((((g @ c1 @ c2) = (c4))) <= ((((g @ c1 @ c2) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7917])). 871.40/112.66 thf(zip_derived_cl96, plain, 871.40/112.66 (![X0 : $i]: (((g @ X0 @ c2) != (c4)) | ((g @ X0 @ c1) = (c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl12])). 871.40/112.66 thf(zip_derived_cl14914, plain, 871.40/112.66 (((((c4) != (c4)) | ((g @ c1 @ c1) = (c2)))) 871.40/112.66 <= ((((g @ c1 @ c2) = (c4))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl14909, zip_derived_cl96])). 871.40/112.66 thf(zip_derived_cl176, plain, (((g @ c1 @ c1) = (c5))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl24])). 871.40/112.66 thf(zip_derived_cl14929, plain, 871.40/112.66 (((((c4) != (c4)) | ((c5) = (c2)))) <= ((((g @ c1 @ c2) = (c4))))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl14914, zip_derived_cl176])). 871.40/112.66 thf(zip_derived_cl14930, plain, 871.40/112.66 ((((c5) = (c2))) <= ((((g @ c1 @ c2) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl14929])). 871.40/112.66 thf(zip_derived_cl109, plain, (((c5) != (c2))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl21])). 871.40/112.66 thf('250', plain, (~ (((g @ c1 @ c2) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl14930, zip_derived_cl109])). 871.40/112.66 thf(zip_derived_cl14754, plain, 871.40/112.66 ((((g @ c1 @ c2) = (c5))) <= ((((g @ c1 @ c2) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7904])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl15073, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c2 @ c1))) 871.40/112.66 <= ((((g @ c1 @ c2) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl14754, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl15090, plain, 871.40/112.66 (( (zip_tseitin_2 @ c2 @ c1)) <= ((((g @ c1 @ c2) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl15073])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl15110, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c2 @ c1) | (zip_tseitin_0 @ c2 @ c1))) 871.40/112.66 <= ((((g @ c1 @ c2) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl15090, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl25923, plain, 871.40/112.66 (( (zip_tseitin_0 @ c2 @ c1)) <= (( (zip_tseitin_0 @ c2 @ c1)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl15110])). 871.40/112.66 thf(zip_derived_cl0, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl25926, plain, 871.40/112.66 ((((c2) = (c1))) <= (( (zip_tseitin_0 @ c2 @ c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl25923, zip_derived_cl0])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('251', plain, (~ ( (zip_tseitin_0 @ c2 @ c1))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl25926, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl15090, plain, 871.40/112.66 (( (zip_tseitin_2 @ c2 @ c1)) <= ((((g @ c1 @ c2) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl15073])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl15108, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c2 @ c1) | (zip_tseitin_0 @ c2 @ c1))) 871.40/112.66 <= ((((g @ c1 @ c2) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl15090, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl25914, plain, 871.40/112.66 (( (zip_tseitin_1 @ c2 @ c1)) <= (( (zip_tseitin_1 @ c2 @ c1)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl15108])). 871.40/112.66 thf(zip_derived_cl4, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl25917, plain, 871.40/112.66 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ c2 @ c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl25914, zip_derived_cl4])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl25993, plain, 871.40/112.66 ((((c1) = (s @ c2))) <= (( (zip_tseitin_1 @ c2 @ c1)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl25917, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl26002, plain, 871.40/112.66 ((((c1) = (c3))) <= (( (zip_tseitin_1 @ c2 @ c1)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl25993, zip_derived_cl19])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('252', plain, (~ ( (zip_tseitin_1 @ c2 @ c1))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl26002, zip_derived_cl4494])). 871.40/112.66 thf('253', plain, 871.40/112.66 (~ (((g @ c1 @ c2) = (c5))) | ( (zip_tseitin_1 @ c2 @ c1)) | 871.40/112.66 ( (zip_tseitin_0 @ c2 @ c1))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl15108])). 871.40/112.66 thf(zip_derived_cl14787, plain, 871.40/112.66 ((((g @ c1 @ c4) = (c4))) <= ((((g @ c1 @ c4) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7905])). 871.40/112.66 thf(zip_derived_cl98, plain, 871.40/112.66 (![X0 : $i]: (((g @ X0 @ c4) != (c4)) | ((g @ X0 @ c3) = (c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 871.40/112.66 thf(zip_derived_cl14793, plain, 871.40/112.66 (((((c4) != (c4)) | ((g @ c1 @ c3) = (c2)))) 871.40/112.66 <= ((((g @ c1 @ c4) = (c4))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl14787, zip_derived_cl98])). 871.40/112.66 thf(zip_derived_cl14808, plain, 871.40/112.66 ((((g @ c1 @ c3) = (c2))) <= ((((g @ c1 @ c4) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl14793])). 871.40/112.66 thf(zip_derived_cl3289, plain, 871.40/112.66 ((((g @ c1 @ c3) = (c1))) <= ((((g @ c2 @ c3) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl3274])). 871.40/112.66 thf(zip_derived_cl17692, plain, 871.40/112.66 ((((c2) = (c1))) <= ((((g @ c2 @ c3) = (c3))) & (((g @ c1 @ c4) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl14808, zip_derived_cl3289])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('254', plain, (~ (((g @ c2 @ c3) = (c3))) | ~ (((g @ c1 @ c4) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl17692, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl14808, plain, 871.40/112.66 ((((g @ c1 @ c3) = (c2))) <= ((((g @ c1 @ c4) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl14793])). 871.40/112.66 thf(zip_derived_cl14752, plain, 871.40/112.66 ((((g @ c1 @ c3) = (c4))) <= ((((g @ c1 @ c3) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7904])). 871.40/112.66 thf(zip_derived_cl17691, plain, 871.40/112.66 ((((c2) = (c4))) <= ((((g @ c1 @ c3) = (c4))) & (((g @ c1 @ c4) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl14808, zip_derived_cl14752])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('255', plain, (~ (((g @ c1 @ c4) = (c4))) | ~ (((g @ c1 @ c3) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl17691, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl13499, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c2))) <= ((((g @ c2 @ c5) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl13485])). 871.40/112.66 thf(zip_derived_cl12732, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c4))) <= ((((g @ c2 @ c4) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6605])). 871.40/112.66 thf(zip_derived_cl15112, plain, 871.40/112.66 ((((c2) = (c4))) <= ((((g @ c2 @ c4) = (c4))) & (((g @ c2 @ c5) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl13499, zip_derived_cl12732])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('256', plain, (~ (((g @ c2 @ c4) = (c4))) | ~ (((g @ c2 @ c5) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl15112, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl12540, plain, 871.40/112.66 ((((g @ c2 @ c2) = (c2))) <= ((((g @ c2 @ c3) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12521])). 871.40/112.66 thf(zip_derived_cl12515, plain, 871.40/112.66 ((((g @ c2 @ c2) = (c3))) <= ((((g @ c2 @ c2) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6591])). 871.40/112.66 thf(zip_derived_cl13172, plain, 871.40/112.66 ((((c2) = (c3))) <= ((((g @ c2 @ c3) = (c4))) & (((g @ c2 @ c2) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12540, zip_derived_cl12515])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('257', plain, (~ (((g @ c2 @ c3) = (c4))) | ~ (((g @ c2 @ c2) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl13172, zip_derived_cl5803])). 871.40/112.66 thf(zip_derived_cl6757, plain, 871.40/112.66 ((((g @ c2 @ c8) = (c4))) <= ((((g @ c2 @ c8) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1917])). 871.40/112.66 thf(zip_derived_cl6496, plain, 871.40/112.66 ((((g @ c3 @ c8) = (c3))) <= ((((g @ c3 @ c8) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1901])). 871.40/112.66 thf(zip_derived_cl83, plain, 871.40/112.66 (![X0 : $i]: (((g @ c3 @ X0) != (c3)) | ((g @ c2 @ X0) = (c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl6501, plain, 871.40/112.66 (((((c3) != (c3)) | ((g @ c2 @ c8) = (c1)))) 871.40/112.66 <= ((((g @ c3 @ c8) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl6496, zip_derived_cl83])). 871.40/112.66 thf(zip_derived_cl6517, plain, 871.40/112.66 ((((g @ c2 @ c8) = (c1))) <= ((((g @ c3 @ c8) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl6501])). 871.40/112.66 thf(zip_derived_cl8625, plain, 871.40/112.66 ((((c4) = (c1))) <= ((((g @ c3 @ c8) = (c3))) & (((g @ c2 @ c8) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl6757, zip_derived_cl6517])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('258', plain, (~ (((g @ c2 @ c8) = (c4))) | ~ (((g @ c3 @ c8) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl8625, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl634, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c1 @ X0) = (c5)) 871.40/112.66 | ((g @ c1 @ X0) = (c4)) 871.40/112.66 | ((g @ c1 @ X0) = (c2)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl608, zip_derived_cl22])). 871.40/112.66 thf(zip_derived_cl21, plain, (![X8 : $i]: ((g @ X8 @ c8) != (c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl2165, plain, 871.40/112.66 ((((c2) != (c2)) 871.40/112.66 | ((g @ c1 @ c8) = (c4)) 871.40/112.66 | ((g @ c1 @ c8) = (c5)) 871.40/112.66 | ((g @ c2 @ c8) = (c3)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl21])). 871.40/112.66 thf(zip_derived_cl2200, plain, 871.40/112.66 ((((g @ c2 @ c8) = (c3)) 871.40/112.66 | ((g @ c1 @ c8) = (c5)) 871.40/112.66 | ((g @ c1 @ c8) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2165])). 871.40/112.66 thf(zip_derived_cl7809, plain, 871.40/112.66 ((((g @ c2 @ c8) = (c3))) <= ((((g @ c2 @ c8) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2200])). 871.40/112.66 thf(zip_derived_cl6517, plain, 871.40/112.66 ((((g @ c2 @ c8) = (c1))) <= ((((g @ c3 @ c8) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl6501])). 871.40/112.66 thf(zip_derived_cl8624, plain, 871.40/112.66 ((((c3) = (c1))) <= ((((g @ c3 @ c8) = (c3))) & (((g @ c2 @ c8) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl7809, zip_derived_cl6517])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('259', plain, (~ (((g @ c3 @ c8) = (c3))) | ~ (((g @ c2 @ c8) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl8624, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl24591, plain, 871.40/112.66 ((((g @ c3 @ (s @ (s @ c5))) = (c1))) 871.40/112.66 <= ((((g @ c4 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl24570])). 871.40/112.66 thf(zip_derived_cl12473, plain, 871.40/112.66 ((((g @ c3 @ (s @ (s @ c5))) = (c3))) 871.40/112.66 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6589])). 871.40/112.66 thf(zip_derived_cl30683, plain, 871.40/112.66 ((((c1) = (c3))) 871.40/112.66 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))) & 871.40/112.66 (((g @ c4 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl24591, zip_derived_cl12473])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('260', plain, 871.40/112.66 (~ (((g @ c4 @ (s @ (s @ c5))) = (c3))) | 871.40/112.66 ~ (((g @ c3 @ (s @ (s @ c5))) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl30683, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl12473, plain, 871.40/112.66 ((((g @ c3 @ (s @ (s @ c5))) = (c3))) 871.40/112.66 <= ((((g @ c3 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6589])). 871.40/112.66 thf(zip_derived_cl7241, plain, 871.40/112.66 ((((g @ c3 @ (s @ (s @ c5))) = (c2))) <= ((((g @ c3 @ c8) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl7223])). 871.40/112.66 thf(zip_derived_cl13404, plain, 871.40/112.66 ((((c3) = (c2))) 871.40/112.66 <= ((((g @ c3 @ c8) = (c4))) & (((g @ c3 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12473, zip_derived_cl7241])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('261', plain, 871.40/112.66 (~ (((g @ c3 @ c8) = (c4))) | ~ (((g @ c3 @ (s @ (s @ c5))) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl13404, zip_derived_cl5803])). 871.40/112.66 thf('262', plain, 871.40/112.66 ((((g @ c2 @ c8) = (c3))) | (((g @ c1 @ c8) = (c4))) | 871.40/112.66 (((g @ c1 @ c8) = (c5)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2200])). 871.40/112.66 thf(zip_derived_cl7811, plain, 871.40/112.66 ((((g @ c1 @ c8) = (c5))) <= ((((g @ c1 @ c8) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2200])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl9096, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c8 @ c1))) 871.40/112.66 <= ((((g @ c1 @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl7811, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl9113, plain, 871.40/112.66 (( (zip_tseitin_2 @ c8 @ c1)) <= ((((g @ c1 @ c8) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl9096])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl9134, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c8 @ c1) | (zip_tseitin_0 @ c8 @ c1))) 871.40/112.66 <= ((((g @ c1 @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl9113, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl16601, plain, 871.40/112.66 (( (zip_tseitin_0 @ c8 @ c1)) <= (( (zip_tseitin_0 @ c8 @ c1)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl9134])). 871.40/112.66 thf(zip_derived_cl0, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl16605, plain, 871.40/112.66 ((((c8) = (c1))) <= (( (zip_tseitin_0 @ c8 @ c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl16601, zip_derived_cl0])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl16684, plain, 871.40/112.66 ((((c1) = (s @ c1))) <= (( (zip_tseitin_0 @ c8 @ c1)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl16605, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl16720, plain, 871.40/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_0 @ c8 @ c1)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl16684, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('263', plain, (~ ( (zip_tseitin_0 @ c8 @ c1))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl16720, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl9113, plain, 871.40/112.66 (( (zip_tseitin_2 @ c8 @ c1)) <= ((((g @ c1 @ c8) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl9096])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl9136, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c8 @ c1) | (zip_tseitin_0 @ c8 @ c1))) 871.40/112.66 <= ((((g @ c1 @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl9113, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl16610, plain, 871.40/112.66 (( (zip_tseitin_1 @ c8 @ c1)) <= (( (zip_tseitin_1 @ c8 @ c1)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl9136])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl16613, plain, 871.40/112.66 ((((c1) = (c8))) <= (( (zip_tseitin_1 @ c8 @ c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl16610, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl16788, plain, 871.40/112.66 ((((c1) = (s @ c1))) <= (( (zip_tseitin_1 @ c8 @ c1)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl16613, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl16824, plain, 871.40/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_1 @ c8 @ c1)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl16788, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('264', plain, (~ ( (zip_tseitin_1 @ c8 @ c1))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl16824, zip_derived_cl6754])). 871.40/112.66 thf('265', plain, 871.40/112.66 (~ (((g @ c1 @ c8) = (c5))) | ( (zip_tseitin_1 @ c8 @ c1)) | 871.40/112.66 ( (zip_tseitin_0 @ c8 @ c1))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl9134])). 871.40/112.66 thf(zip_derived_cl23887, plain, 871.40/112.66 ((((g @ c1 @ (s @ (s @ c5))) = (c1))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl23866])). 871.40/112.66 thf(zip_derived_cl2214, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c1 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c1 @ X0) = (c5)) 871.40/112.66 | ((g @ c1 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2174])). 871.40/112.66 thf(zip_derived_cl29805, plain, 871.40/112.66 (((((c1) = (c4)) 871.40/112.66 | ((g @ c1 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c1 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c2 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl23887, zip_derived_cl2214])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf(zip_derived_cl29825, plain, 871.40/112.66 (((((g @ c1 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c1 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c2 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl29805, zip_derived_cl2825])). 871.40/112.66 thf('266', plain, 871.40/112.66 (~ (((g @ c2 @ (s @ (s @ c5))) = (c3))) | 871.40/112.66 (((g @ c2 @ (s @ c5)) = (c3))) | (((g @ c1 @ (s @ c5)) = (c5))) | 871.40/112.66 (((g @ c1 @ (s @ c5)) = (c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl29825])). 871.40/112.66 thf(zip_derived_cl7809, plain, 871.40/112.66 ((((g @ c2 @ c8) = (c3))) <= ((((g @ c2 @ c8) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2200])). 871.40/112.66 thf(zip_derived_cl6757, plain, 871.40/112.66 ((((g @ c2 @ c8) = (c4))) <= ((((g @ c2 @ c8) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1917])). 871.40/112.66 thf(zip_derived_cl7812, plain, 871.40/112.66 ((((c3) = (c4))) <= ((((g @ c2 @ c8) = (c4))) & (((g @ c2 @ c8) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl7809, zip_derived_cl6757])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf('267', plain, (~ (((g @ c2 @ c8) = (c4))) | ~ (((g @ c2 @ c8) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl7812, zip_derived_cl3704])). 871.40/112.66 thf(zip_derived_cl24032, plain, 871.40/112.66 ((((g @ c3 @ (s @ c5)) = (c3))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12503])). 871.40/112.66 thf(zip_derived_cl83, plain, 871.40/112.66 (![X0 : $i]: (((g @ c3 @ X0) != (c3)) | ((g @ c2 @ X0) = (c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl24038, plain, 871.40/112.66 (((((c3) != (c3)) | ((g @ c2 @ (s @ c5)) = (c1)))) 871.40/112.66 <= ((((g @ c3 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24032, zip_derived_cl83])). 871.40/112.66 thf(zip_derived_cl24056, plain, 871.40/112.66 ((((g @ c2 @ (s @ c5)) = (c1))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl24038])). 871.40/112.66 thf(zip_derived_cl12673, plain, 871.40/112.66 ((((g @ c2 @ (s @ c5)) = (c2))) <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12659])). 871.40/112.66 thf(zip_derived_cl28655, plain, 871.40/112.66 ((((c1) = (c2))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))) & 871.40/112.66 (((g @ c3 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl24056, zip_derived_cl12673])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('268', plain, 871.40/112.66 (~ (((g @ c2 @ (s @ (s @ c5))) = (c4))) | 871.40/112.66 ~ (((g @ c3 @ (s @ c5)) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl28655, zip_derived_cl6754])). 871.40/112.66 thf('269', plain, 871.40/112.66 ((((g @ c4 @ c8) = (c3))) | (((g @ c3 @ c8) = (c3))) | 871.40/112.66 (((g @ c3 @ c8) = (c5))) | (((g @ c3 @ c8) = (c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1970])). 871.40/112.66 thf(zip_derived_cl7024, plain, 871.40/112.66 ((((g @ c3 @ c8) = (c5))) <= ((((g @ c3 @ c8) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1970])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl8668, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c8 @ c3))) 871.40/112.66 <= ((((g @ c3 @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl7024, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl8687, plain, 871.40/112.66 (( (zip_tseitin_2 @ c8 @ c3)) <= ((((g @ c3 @ c8) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl8668])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl8704, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c8 @ c3) | (zip_tseitin_0 @ c8 @ c3))) 871.40/112.66 <= ((((g @ c3 @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl8687, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl16181, plain, 871.40/112.66 (( (zip_tseitin_0 @ c8 @ c3)) <= (( (zip_tseitin_0 @ c8 @ c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl8704])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl16183, plain, 871.40/112.66 ((((c3) = (c1))) <= (( (zip_tseitin_0 @ c8 @ c3)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl16181, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('270', plain, (~ ( (zip_tseitin_0 @ c8 @ c3))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl16183, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl8687, plain, 871.40/112.66 (( (zip_tseitin_2 @ c8 @ c3)) <= ((((g @ c3 @ c8) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl8668])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl8706, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c8 @ c3) | (zip_tseitin_0 @ c8 @ c3))) 871.40/112.66 <= ((((g @ c3 @ c8) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl8687, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl16192, plain, 871.40/112.66 (( (zip_tseitin_1 @ c8 @ c3)) <= (( (zip_tseitin_1 @ c8 @ c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl8706])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl16195, plain, 871.40/112.66 ((((c3) = (c8))) <= (( (zip_tseitin_1 @ c8 @ c3)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl16192, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl16279, plain, 871.40/112.66 ((((c1) = (s @ c3))) <= (( (zip_tseitin_1 @ c8 @ c3)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl16195, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl16288, plain, 871.40/112.66 ((((c1) = (c4))) <= (( (zip_tseitin_1 @ c8 @ c3)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl16279, zip_derived_cl18])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('271', plain, (~ ( (zip_tseitin_1 @ c8 @ c3))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl16288, zip_derived_cl2825])). 871.40/112.66 thf('272', plain, 871.40/112.66 (~ (((g @ c3 @ c8) = (c5))) | ( (zip_tseitin_1 @ c8 @ c3)) | 871.40/112.66 ( (zip_tseitin_0 @ c8 @ c3))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl8704])). 871.40/112.66 thf('273', plain, 871.40/112.66 ((((g @ c5 @ (s @ (s @ c5))) = (c3))) | 871.40/112.66 (((g @ c4 @ (s @ (s @ c5))) = (c3))) | 871.40/112.66 (((g @ c4 @ (s @ (s @ c5))) = (c4))) | (((g @ c4 @ c8) = (c4))) | 871.40/112.66 (((g @ c4 @ (s @ (s @ c5))) = (c5)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7577])). 871.40/112.66 thf(zip_derived_cl14091, plain, 871.40/112.66 ((((g @ c4 @ (s @ (s @ c5))) = (c5))) 871.40/112.66 <= ((((g @ c4 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7577])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl25105, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ (s @ (s @ c5)) @ c4))) 871.40/112.66 <= ((((g @ c4 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl14091, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl25118, plain, 871.40/112.66 (( (zip_tseitin_2 @ (s @ (s @ c5)) @ c4)) 871.40/112.66 <= ((((g @ c4 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl25105])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl31053, plain, 871.40/112.66 ((( (zip_tseitin_1 @ (s @ (s @ c5)) @ c4) 871.40/112.66 | (zip_tseitin_0 @ (s @ (s @ c5)) @ c4))) 871.40/112.66 <= ((((g @ c4 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl25118, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39413, plain, 871.40/112.66 (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c4)) 871.40/112.66 <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl31053])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl39417, plain, 871.40/112.66 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c4)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39413, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl49, plain, (((c4) != (c8))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 871.40/112.66 zip_derived_cl18])). 871.40/112.66 thf('274', plain, (~ ( (zip_tseitin_1 @ (s @ (s @ c5)) @ c4))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl39417, zip_derived_cl49])). 871.40/112.66 thf(zip_derived_cl25118, plain, 871.40/112.66 (( (zip_tseitin_2 @ (s @ (s @ c5)) @ c4)) 871.40/112.66 <= ((((g @ c4 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl25105])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl31055, plain, 871.40/112.66 ((( (zip_tseitin_1 @ (s @ (s @ c5)) @ c4) 871.40/112.66 | (zip_tseitin_0 @ (s @ (s @ c5)) @ c4))) 871.40/112.66 <= ((((g @ c4 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl25118, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39424, plain, 871.40/112.66 (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c4)) 871.40/112.66 <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl31055])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl39425, plain, 871.40/112.66 ((((c4) = (c1))) <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c4)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39424, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('275', plain, (~ ( (zip_tseitin_0 @ (s @ (s @ c5)) @ c4))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl39425, zip_derived_cl2825])). 871.40/112.66 thf('276', plain, 871.40/112.66 (~ (((g @ c4 @ (s @ (s @ c5))) = (c5))) | 871.40/112.66 ( (zip_tseitin_0 @ (s @ (s @ c5)) @ c4)) | 871.40/112.66 ( (zip_tseitin_1 @ (s @ (s @ c5)) @ c4))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl31053])). 871.40/112.66 thf(zip_derived_cl7241, plain, 871.40/112.66 ((((g @ c3 @ (s @ (s @ c5))) = (c2))) <= ((((g @ c3 @ c8) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl7223])). 871.40/112.66 thf(zip_derived_cl1978, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c3 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c4 @ X0) = (c3)) 871.40/112.66 | ((g @ c3 @ X0) = (c3)) 871.40/112.66 | ((g @ c3 @ X0) = (c5)) 871.40/112.66 | ((g @ c3 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1947])). 871.40/112.66 thf(zip_derived_cl13396, plain, 871.40/112.66 (((((c2) = (c4)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c3)) 871.40/112.66 | ((g @ c4 @ (s @ c5)) = (c3)))) <= ((((g @ c3 @ c8) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl7241, zip_derived_cl1978])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf(zip_derived_cl13416, plain, 871.40/112.66 (((((g @ c3 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c3)) 871.40/112.66 | ((g @ c4 @ (s @ c5)) = (c3)))) <= ((((g @ c3 @ c8) = (c4))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl13396, zip_derived_cl1663])). 871.40/112.66 thf('277', plain, 871.40/112.66 (~ (((g @ c3 @ c8) = (c4))) | (((g @ c3 @ (s @ c5)) = (c4))) | 871.40/112.66 (((g @ c3 @ (s @ c5)) = (c5))) | (((g @ c4 @ (s @ c5)) = (c3))) | 871.40/112.66 (((g @ c3 @ (s @ c5)) = (c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl13416])). 871.40/112.66 thf(zip_derived_cl24591, plain, 871.40/112.66 ((((g @ c3 @ (s @ (s @ c5))) = (c1))) 871.40/112.66 <= ((((g @ c4 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl24570])). 871.40/112.66 thf(zip_derived_cl1978, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c3 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c4 @ X0) = (c3)) 871.40/112.66 | ((g @ c3 @ X0) = (c3)) 871.40/112.66 | ((g @ c3 @ X0) = (c5)) 871.40/112.66 | ((g @ c3 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1947])). 871.40/112.66 thf(zip_derived_cl30685, plain, 871.40/112.66 (((((c1) = (c4)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c3)) 871.40/112.66 | ((g @ c4 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ c4 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl24591, zip_derived_cl1978])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf(zip_derived_cl30707, plain, 871.40/112.66 (((((g @ c3 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c3 @ (s @ c5)) = (c3)) 871.40/112.66 | ((g @ c4 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ c4 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl30685, zip_derived_cl2825])). 871.40/112.66 thf('278', plain, 871.40/112.66 (~ (((g @ c4 @ (s @ (s @ c5))) = (c3))) | 871.40/112.66 (((g @ c3 @ (s @ c5)) = (c4))) | (((g @ c3 @ (s @ c5)) = (c5))) | 871.40/112.66 (((g @ c4 @ (s @ c5)) = (c3))) | (((g @ c3 @ (s @ c5)) = (c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30707])). 871.40/112.66 thf('279', plain, 871.40/112.66 (~ (((g @ c2 @ (s @ (s @ c5))) = (c4))) | (((g @ c2 @ c5) = (c3))) | 871.40/112.66 (((g @ c2 @ c5) = (c5))) | (((g @ c3 @ c5) = (c3))) | 871.40/112.66 (((g @ c2 @ c5) = (c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl24217])). 871.40/112.66 thf(zip_derived_cl24056, plain, 871.40/112.66 ((((g @ c2 @ (s @ c5)) = (c1))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl24038])). 871.40/112.66 thf(zip_derived_cl1911, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c2 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c3 @ X0) = (c3)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c2 @ X0) = (c5)) 871.40/112.66 | ((g @ c2 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1873])). 871.40/112.66 thf(zip_derived_cl28656, plain, 871.40/112.66 (((((c1) = (c4)) 871.40/112.66 | ((g @ c2 @ c5) = (c4)) 871.40/112.66 | ((g @ c2 @ c5) = (c5)) 871.40/112.66 | ((g @ c2 @ c5) = (c3)) 871.40/112.66 | ((g @ c3 @ c5) = (c3)))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl24056, zip_derived_cl1911])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf(zip_derived_cl28678, plain, 871.40/112.66 (((((g @ c2 @ c5) = (c4)) 871.40/112.66 | ((g @ c2 @ c5) = (c5)) 871.40/112.66 | ((g @ c2 @ c5) = (c3)) 871.40/112.66 | ((g @ c3 @ c5) = (c3)))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl28656, zip_derived_cl2825])). 871.40/112.66 thf('280', plain, 871.40/112.66 (~ (((g @ c3 @ (s @ c5)) = (c3))) | (((g @ c2 @ c5) = (c3))) | 871.40/112.66 (((g @ c2 @ c5) = (c5))) | (((g @ c3 @ c5) = (c3))) | 871.40/112.66 (((g @ c2 @ c5) = (c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl28678])). 871.40/112.66 thf(zip_derived_cl12673, plain, 871.40/112.66 ((((g @ c2 @ (s @ c5)) = (c2))) <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12659])). 871.40/112.66 thf(zip_derived_cl1911, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c2 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c3 @ X0) = (c3)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c2 @ X0) = (c5)) 871.40/112.66 | ((g @ c2 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1873])). 871.40/112.66 thf(zip_derived_cl24210, plain, 871.40/112.66 (((((c2) = (c4)) 871.40/112.66 | ((g @ c2 @ c5) = (c4)) 871.40/112.66 | ((g @ c2 @ c5) = (c5)) 871.40/112.66 | ((g @ c2 @ c5) = (c3)) 871.40/112.66 | ((g @ c3 @ c5) = (c3)))) <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12673, zip_derived_cl1911])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf(zip_derived_cl24223, plain, 871.40/112.66 (((((g @ c2 @ c5) = (c4)) 871.40/112.66 | ((g @ c2 @ c5) = (c5)) 871.40/112.66 | ((g @ c2 @ c5) = (c3)) 871.40/112.66 | ((g @ c3 @ c5) = (c3)))) <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl24210, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl30560, plain, 871.40/112.66 ((((g @ c2 @ c5) = (c5))) <= ((((g @ c2 @ c5) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl24223])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl30567, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c5 @ c2))) 871.40/112.66 <= ((((g @ c2 @ c5) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl30560, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl30587, plain, 871.40/112.66 (( (zip_tseitin_2 @ c5 @ c2)) <= ((((g @ c2 @ c5) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl30567])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl30608, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c5 @ c2) | (zip_tseitin_0 @ c5 @ c2))) 871.40/112.66 <= ((((g @ c2 @ c5) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl30587, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39324, plain, 871.40/112.66 (( (zip_tseitin_0 @ c5 @ c2)) <= (( (zip_tseitin_0 @ c5 @ c2)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30608])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl39325, plain, 871.40/112.66 ((((c2) = (c1))) <= (( (zip_tseitin_0 @ c5 @ c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39324, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('281', plain, (~ ( (zip_tseitin_0 @ c5 @ c2))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl39325, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl30587, plain, 871.40/112.66 (( (zip_tseitin_2 @ c5 @ c2)) <= ((((g @ c2 @ c5) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl30567])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl30606, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c5 @ c2) | (zip_tseitin_0 @ c5 @ c2))) 871.40/112.66 <= ((((g @ c2 @ c5) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl30587, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39244, plain, 871.40/112.66 (( (zip_tseitin_1 @ c5 @ c2)) <= (( (zip_tseitin_1 @ c5 @ c2)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30606])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl39248, plain, 871.40/112.66 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ c5 @ c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39244, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl39244, plain, 871.40/112.66 (( (zip_tseitin_1 @ c5 @ c2)) <= (( (zip_tseitin_1 @ c5 @ c2)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30606])). 871.40/112.66 thf(zip_derived_cl4, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl39247, plain, 871.40/112.66 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ c5 @ c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39244, zip_derived_cl4])). 871.40/112.66 thf(zip_derived_cl39471, plain, 871.40/112.66 ((((c2) = (c5))) <= (( (zip_tseitin_1 @ c5 @ c2)))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl39248, zip_derived_cl39247])). 871.40/112.66 thf(zip_derived_cl109, plain, (((c5) != (c2))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl21])). 871.40/112.66 thf('282', plain, (~ ( (zip_tseitin_1 @ c5 @ c2))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl39471, zip_derived_cl109])). 871.40/112.66 thf('283', plain, 871.40/112.66 (~ (((g @ c2 @ c5) = (c5))) | ( (zip_tseitin_1 @ c5 @ c2)) | 871.40/112.66 ( (zip_tseitin_0 @ c5 @ c2))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30606])). 871.40/112.66 thf(zip_derived_cl13499, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c2))) <= ((((g @ c2 @ c5) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl13485])). 871.40/112.66 thf(zip_derived_cl12754, plain, 871.40/112.66 ((((g @ c2 @ c4) = (c3))) <= ((((g @ c2 @ c4) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6606])). 871.40/112.66 thf(zip_derived_cl15111, plain, 871.40/112.66 ((((c2) = (c3))) <= ((((g @ c2 @ c4) = (c3))) & (((g @ c2 @ c5) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl13499, zip_derived_cl12754])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('284', plain, (~ (((g @ c2 @ c4) = (c3))) | ~ (((g @ c2 @ c5) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl15111, zip_derived_cl5803])). 871.40/112.66 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl2214, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c1 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c1 @ X0) = (c5)) 871.40/112.66 | ((g @ c1 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2174])). 871.40/112.66 thf(zip_derived_cl7906, plain, 871.40/112.66 ((((g @ c1 @ c5) = (c4)) 871.40/112.66 | ((g @ c1 @ c4) = (c4)) 871.40/112.66 | ((g @ c1 @ c4) = (c5)) 871.40/112.66 | ((g @ c2 @ c4) = (c3)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl2214])). 871.40/112.66 thf('285', plain, 871.40/112.66 ((((g @ c2 @ c4) = (c3))) | (((g @ c1 @ c4) = (c4))) | 871.40/112.66 (((g @ c1 @ c4) = (c5))) | (((g @ c1 @ c5) = (c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7906])). 871.40/112.66 thf(zip_derived_cl14824, plain, 871.40/112.66 ((((g @ c1 @ c4) = (c5))) <= ((((g @ c1 @ c4) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7906])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl14831, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c4 @ c1))) 871.40/112.66 <= ((((g @ c1 @ c4) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl14824, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl14848, plain, 871.40/112.66 (( (zip_tseitin_2 @ c4 @ c1)) <= ((((g @ c1 @ c4) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl14831])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl14904, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c4 @ c1) | (zip_tseitin_0 @ c4 @ c1))) 871.40/112.66 <= ((((g @ c1 @ c4) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl14848, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl25786, plain, 871.40/112.66 (( (zip_tseitin_1 @ c4 @ c1)) <= (( (zip_tseitin_1 @ c4 @ c1)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl14904])). 871.40/112.66 thf(zip_derived_cl4, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl25789, plain, 871.40/112.66 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ c4 @ c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl25786, zip_derived_cl4])). 871.40/112.66 thf(zip_derived_cl49, plain, (((c4) != (c8))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 871.40/112.66 zip_derived_cl18])). 871.40/112.66 thf('286', plain, (~ ( (zip_tseitin_1 @ c4 @ c1))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl25789, zip_derived_cl49])). 871.40/112.66 thf(zip_derived_cl25787, plain, 871.40/112.66 (( (zip_tseitin_0 @ c4 @ c1)) <= (( (zip_tseitin_0 @ c4 @ c1)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl14904])). 871.40/112.66 thf(zip_derived_cl0, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl25798, plain, 871.40/112.66 ((((c4) = (c1))) <= (( (zip_tseitin_0 @ c4 @ c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl25787, zip_derived_cl0])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('287', plain, (~ ( (zip_tseitin_0 @ c4 @ c1))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl25798, zip_derived_cl2825])). 871.40/112.66 thf('288', plain, 871.40/112.66 (~ (((g @ c1 @ c4) = (c5))) | ( (zip_tseitin_0 @ c4 @ c1)) | 871.40/112.66 ( (zip_tseitin_1 @ c4 @ c1))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl14904])). 871.40/112.66 thf(zip_derived_cl30542, plain, 871.40/112.66 ((((g @ c1 @ c5) = (c1))) <= ((((g @ c2 @ c5) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl30524])). 871.40/112.66 thf(zip_derived_cl25709, plain, 871.40/112.66 ((((g @ c1 @ (s @ c5)) = (c4))) <= ((((g @ c1 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl14886])). 871.40/112.66 thf(zip_derived_cl12, plain, 871.40/112.66 (![X3 : $i, X4 : $i]: 871.40/112.66 (((g @ X3 @ X4) = (c2)) | ((g @ X3 @ (s @ X4)) != (c4)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl25714, plain, 871.40/112.66 (((((c4) != (c4)) | ((g @ c1 @ c5) = (c2)))) 871.40/112.66 <= ((((g @ c1 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl25709, zip_derived_cl12])). 871.40/112.66 thf(zip_derived_cl25729, plain, 871.40/112.66 ((((g @ c1 @ c5) = (c2))) <= ((((g @ c1 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl25714])). 871.40/112.66 thf(zip_derived_cl31067, plain, 871.40/112.66 ((((c1) = (c2))) 871.40/112.66 <= ((((g @ c1 @ (s @ c5)) = (c4))) & (((g @ c2 @ c5) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl30542, zip_derived_cl25729])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('289', plain, 871.40/112.66 (~ (((g @ c1 @ (s @ c5)) = (c4))) | ~ (((g @ c2 @ c5) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl31067, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl25729, plain, 871.40/112.66 ((((g @ c1 @ c5) = (c2))) <= ((((g @ c1 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl25714])). 871.40/112.66 thf(zip_derived_cl14989, plain, 871.40/112.66 ((((g @ c1 @ c5) = (c4))) <= ((((g @ c1 @ c5) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7919])). 871.40/112.66 thf(zip_derived_cl26058, plain, 871.40/112.66 ((((c2) = (c4))) 871.40/112.66 <= ((((g @ c1 @ c5) = (c4))) & (((g @ c1 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl25729, zip_derived_cl14989])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('290', plain, 871.40/112.66 (~ (((g @ c1 @ (s @ c5)) = (c4))) | ~ (((g @ c1 @ c5) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl26058, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl8042, plain, 871.40/112.66 ((((g @ c1 @ (s @ (s @ c5))) = (c2))) <= ((((g @ c1 @ c8) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl8027])). 871.40/112.66 thf(zip_derived_cl2214, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c1 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c1 @ X0) = (c5)) 871.40/112.66 | ((g @ c1 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2174])). 871.40/112.66 thf(zip_derived_cl15023, plain, 871.40/112.66 (((((c2) = (c4)) 871.40/112.66 | ((g @ c1 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c1 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c2 @ (s @ c5)) = (c3)))) <= ((((g @ c1 @ c8) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl8042, zip_derived_cl2214])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf(zip_derived_cl15043, plain, 871.40/112.66 (((((g @ c1 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c1 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c2 @ (s @ c5)) = (c3)))) <= ((((g @ c1 @ c8) = (c4))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl15023, zip_derived_cl1663])). 871.40/112.66 thf('291', plain, 871.40/112.66 (~ (((g @ c1 @ c8) = (c4))) | (((g @ c2 @ (s @ c5)) = (c3))) | 871.40/112.66 (((g @ c1 @ (s @ c5)) = (c5))) | (((g @ c1 @ (s @ c5)) = (c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl15043])). 871.40/112.66 thf(zip_derived_cl14864, plain, 871.40/112.66 ((((g @ c1 @ (s @ (s @ c5))) = (c5))) 871.40/112.66 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7915])). 871.40/112.66 thf(zip_derived_cl2214, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c1 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c2 @ X0) = (c3)) 871.40/112.66 | ((g @ c1 @ X0) = (c5)) 871.40/112.66 | ((g @ c1 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2174])). 871.40/112.66 thf(zip_derived_cl14877, plain, 871.40/112.66 (((((c5) = (c4)) 871.40/112.66 | ((g @ c1 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c1 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c2 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl14864, zip_derived_cl2214])). 871.40/112.66 thf(zip_derived_cl187, plain, (((c5) != (c4))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl20])). 871.40/112.66 thf(zip_derived_cl14895, plain, 871.40/112.66 (((((g @ c1 @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ c1 @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ c2 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ c1 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl14877, zip_derived_cl187])). 871.40/112.66 thf(zip_derived_cl25746, plain, 871.40/112.66 ((((g @ c1 @ (s @ c5)) = (c5))) <= ((((g @ c1 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl14895])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl25753, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ (s @ c5) @ c1))) 871.40/112.66 <= ((((g @ c1 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl25746, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl25772, plain, 871.40/112.66 (( (zip_tseitin_2 @ (s @ c5) @ c1)) <= ((((g @ c1 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl25753])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl31791, plain, 871.40/112.66 ((( (zip_tseitin_1 @ (s @ c5) @ c1) | (zip_tseitin_0 @ (s @ c5) @ c1))) 871.40/112.66 <= ((((g @ c1 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl25772, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39619, plain, 871.40/112.66 (( (zip_tseitin_1 @ (s @ c5) @ c1)) 871.40/112.66 <= (( (zip_tseitin_1 @ (s @ c5) @ c1)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl31791])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl39623, plain, 871.40/112.66 ((((c1) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39619, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl39770, plain, 871.40/112.66 ((((c1) = (s @ c1))) <= (( (zip_tseitin_1 @ (s @ c5) @ c1)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl39623, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl39811, plain, 871.40/112.66 ((((c1) = (c2))) <= (( (zip_tseitin_1 @ (s @ c5) @ c1)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl39770, zip_derived_cl15])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('292', plain, (~ ( (zip_tseitin_1 @ (s @ c5) @ c1))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl39811, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl25772, plain, 871.40/112.66 (( (zip_tseitin_2 @ (s @ c5) @ c1)) <= ((((g @ c1 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl25753])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl31796, plain, 871.40/112.66 ((( (zip_tseitin_1 @ (s @ c5) @ c1) | (zip_tseitin_0 @ (s @ c5) @ c1))) 871.40/112.66 <= ((((g @ c1 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl25772, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39699, plain, 871.40/112.66 (( (zip_tseitin_0 @ (s @ c5) @ c1)) 871.40/112.66 <= (( (zip_tseitin_0 @ (s @ c5) @ c1)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl31796])). 871.40/112.66 thf(zip_derived_cl0, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl39702, plain, 871.40/112.66 ((((s @ c5) = (c1))) <= (( (zip_tseitin_0 @ (s @ c5) @ c1)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39699, zip_derived_cl0])). 871.40/112.66 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 871.40/112.66 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 871.40/112.66 thf(zip_derived_cl40016, plain, 871.40/112.66 ((((s @ (s @ c1)) = (c8))) <= (( (zip_tseitin_0 @ (s @ c5) @ c1)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl39702, zip_derived_cl32])). 871.40/112.66 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl40414, plain, 871.40/112.66 ((((c3) = (c8))) <= (( (zip_tseitin_0 @ (s @ c5) @ c1)))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl40016, zip_derived_cl15, zip_derived_cl19])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl40683, plain, 871.40/112.66 ((((c1) = (s @ c3))) <= (( (zip_tseitin_0 @ (s @ c5) @ c1)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl40414, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl40710, plain, 871.40/112.66 ((((c1) = (c4))) <= (( (zip_tseitin_0 @ (s @ c5) @ c1)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl40683, zip_derived_cl18])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('293', plain, (~ ( (zip_tseitin_0 @ (s @ c5) @ c1))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl40710, zip_derived_cl2825])). 871.40/112.66 thf('294', plain, 871.40/112.66 (~ (((g @ c1 @ (s @ c5)) = (c5))) | ( (zip_tseitin_0 @ (s @ c5) @ c1)) | 871.40/112.66 ( (zip_tseitin_1 @ (s @ c5) @ c1))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl31791])). 871.40/112.66 thf(zip_derived_cl24676, plain, 871.40/112.66 ((((g @ c3 @ (s @ c5)) = (c5))) <= ((((g @ c3 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl13416])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl24685, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ (s @ c5) @ c3))) 871.40/112.66 <= ((((g @ c3 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24676, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl24706, plain, 871.40/112.66 (( (zip_tseitin_2 @ (s @ c5) @ c3)) <= ((((g @ c3 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl24685])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl30801, plain, 871.40/112.66 ((( (zip_tseitin_1 @ (s @ c5) @ c3) | (zip_tseitin_0 @ (s @ c5) @ c3))) 871.40/112.66 <= ((((g @ c3 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24706, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39374, plain, 871.40/112.66 (( (zip_tseitin_0 @ (s @ c5) @ c3)) 871.40/112.66 <= (( (zip_tseitin_0 @ (s @ c5) @ c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30801])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl39375, plain, 871.40/112.66 ((((c3) = (c1))) <= (( (zip_tseitin_0 @ (s @ c5) @ c3)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39374, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('295', plain, (~ ( (zip_tseitin_0 @ (s @ c5) @ c3))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl39375, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl24706, plain, 871.40/112.66 (( (zip_tseitin_2 @ (s @ c5) @ c3)) <= ((((g @ c3 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl24685])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl30799, plain, 871.40/112.66 ((( (zip_tseitin_1 @ (s @ c5) @ c3) | (zip_tseitin_0 @ (s @ c5) @ c3))) 871.40/112.66 <= ((((g @ c3 @ (s @ c5)) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl24706, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39365, plain, 871.40/112.66 (( (zip_tseitin_1 @ (s @ c5) @ c3)) 871.40/112.66 <= (( (zip_tseitin_1 @ (s @ c5) @ c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30799])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl39369, plain, 871.40/112.66 ((((c3) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ c3)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39365, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl39608, plain, 871.40/112.66 ((((c1) = (s @ c3))) <= (( (zip_tseitin_1 @ (s @ c5) @ c3)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl39369, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl39617, plain, 871.40/112.66 ((((c1) = (c4))) <= (( (zip_tseitin_1 @ (s @ c5) @ c3)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl39608, zip_derived_cl18])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('296', plain, (~ ( (zip_tseitin_1 @ (s @ c5) @ c3))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl39617, zip_derived_cl2825])). 871.40/112.66 thf('297', plain, 871.40/112.66 (~ (((g @ c3 @ (s @ c5)) = (c5))) | ( (zip_tseitin_1 @ (s @ c5) @ c3)) | 871.40/112.66 ( (zip_tseitin_0 @ (s @ c5) @ c3))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30799])). 871.40/112.66 thf(zip_derived_cl12476, plain, 871.40/112.66 ((((g @ c2 @ (s @ (s @ c5))) = (c5))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6589])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl23911, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ (s @ (s @ c5)) @ c2))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl12476, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl23933, plain, 871.40/112.66 (( (zip_tseitin_2 @ (s @ (s @ c5)) @ c2)) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl23911])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl30413, plain, 871.40/112.66 ((( (zip_tseitin_1 @ (s @ (s @ c5)) @ c2) 871.40/112.66 | (zip_tseitin_0 @ (s @ (s @ c5)) @ c2))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl23933, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39153, plain, 871.40/112.66 (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c2)) 871.40/112.66 <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c2)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30413])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl39157, plain, 871.40/112.66 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39153, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl39223, plain, 871.40/112.66 ((((c1) = (s @ c2))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c2)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl39157, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl39232, plain, 871.40/112.66 ((((c1) = (c3))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c2)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl39223, zip_derived_cl19])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('298', plain, (~ ( (zip_tseitin_1 @ (s @ (s @ c5)) @ c2))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl39232, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl23933, plain, 871.40/112.66 (( (zip_tseitin_2 @ (s @ (s @ c5)) @ c2)) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl23911])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl30415, plain, 871.40/112.66 ((( (zip_tseitin_1 @ (s @ (s @ c5)) @ c2) 871.40/112.66 | (zip_tseitin_0 @ (s @ (s @ c5)) @ c2))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl23933, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39235, plain, 871.40/112.66 (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c2)) 871.40/112.66 <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c2)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30415])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl39236, plain, 871.40/112.66 ((((c2) = (c1))) <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c2)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39235, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('299', plain, (~ ( (zip_tseitin_0 @ (s @ (s @ c5)) @ c2))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl39236, zip_derived_cl6754])). 871.40/112.66 thf('300', plain, 871.40/112.66 (~ (((g @ c2 @ (s @ (s @ c5))) = (c5))) | 871.40/112.66 ( (zip_tseitin_0 @ (s @ (s @ c5)) @ c2)) | 871.40/112.66 ( (zip_tseitin_1 @ (s @ (s @ c5)) @ c2))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30413])). 871.40/112.66 thf(zip_derived_cl24310, plain, 871.40/112.66 ((((g @ c2 @ (s @ c5)) = (c3))) <= ((((g @ c2 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12913])). 871.40/112.66 thf(zip_derived_cl24056, plain, 871.40/112.66 ((((g @ c2 @ (s @ c5)) = (c1))) <= ((((g @ c3 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl24038])). 871.40/112.66 thf(zip_derived_cl28663, plain, 871.40/112.66 ((((c3) = (c1))) 871.40/112.66 <= ((((g @ c3 @ (s @ c5)) = (c3))) & (((g @ c2 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl24310, zip_derived_cl24056])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('301', plain, 871.40/112.66 (~ (((g @ c2 @ (s @ c5)) = (c3))) | ~ (((g @ c3 @ (s @ c5)) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl28663, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl24310, plain, 871.40/112.66 ((((g @ c2 @ (s @ c5)) = (c3))) <= ((((g @ c2 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12913])). 871.40/112.66 thf(zip_derived_cl12673, plain, 871.40/112.66 ((((g @ c2 @ (s @ c5)) = (c2))) <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl12659])). 871.40/112.66 thf(zip_derived_cl24314, plain, 871.40/112.66 ((((c3) = (c2))) 871.40/112.66 <= ((((g @ c2 @ (s @ (s @ c5))) = (c4))) & 871.40/112.66 (((g @ c2 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl24310, zip_derived_cl12673])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('302', plain, 871.40/112.66 (~ (((g @ c2 @ (s @ (s @ c5))) = (c4))) | 871.40/112.66 ~ (((g @ c2 @ (s @ c5)) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl24314, zip_derived_cl5803])). 871.40/112.66 thf('303', plain, 871.40/112.66 ((((g @ c2 @ c8) = (c4))) | (((g @ c2 @ (s @ (s @ c5))) = (c3))) | 871.40/112.66 (((g @ c2 @ (s @ (s @ c5))) = (c5))) | 871.40/112.66 (((g @ c3 @ (s @ (s @ c5))) = (c3))) | 871.40/112.66 (((g @ c2 @ (s @ (s @ c5))) = (c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6589])). 871.40/112.66 thf(zip_derived_cl7666, plain, 871.40/112.66 ((((g @ c4 @ c8) = (c4))) <= ((((g @ c4 @ c8) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2044])). 871.40/112.66 thf(zip_derived_cl7021, plain, 871.40/112.66 ((((g @ c4 @ c8) = (c3))) <= ((((g @ c4 @ c8) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1970])). 871.40/112.66 thf(zip_derived_cl7669, plain, 871.40/112.66 ((((c4) = (c3))) <= ((((g @ c4 @ c8) = (c3))) & (((g @ c4 @ c8) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl7666, zip_derived_cl7021])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf('304', plain, (~ (((g @ c4 @ c8) = (c4))) | ~ (((g @ c4 @ c8) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl7669, zip_derived_cl3704])). 871.40/112.66 thf(zip_derived_cl14305, plain, 871.40/112.66 ((((g @ c4 @ (s @ c5)) = (c2))) <= ((((g @ c4 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl14290])). 871.40/112.66 thf(zip_derived_cl2040, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c4 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c5 @ X0) = (c3)) 871.40/112.66 | ((g @ c4 @ X0) = (c3)) 871.40/112.66 | ((g @ c4 @ X0) = (c5)) 871.40/112.66 | ((g @ c4 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2010])). 871.40/112.66 thf(zip_derived_cl25293, plain, 871.40/112.66 (((((c2) = (c4)) 871.40/112.66 | ((g @ c4 @ c5) = (c4)) 871.40/112.66 | ((g @ c4 @ c5) = (c5)) 871.40/112.66 | ((g @ c4 @ c5) = (c3)) 871.40/112.66 | ((g @ c5 @ c5) = (c3)))) <= ((((g @ c4 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl14305, zip_derived_cl2040])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf(zip_derived_cl25302, plain, 871.40/112.66 (((((g @ c4 @ c5) = (c4)) 871.40/112.66 | ((g @ c4 @ c5) = (c5)) 871.40/112.66 | ((g @ c4 @ c5) = (c3)) 871.40/112.66 | ((g @ c5 @ c5) = (c3)))) <= ((((g @ c4 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl25293, zip_derived_cl1663])). 871.40/112.66 thf('305', plain, 871.40/112.66 (~ (((g @ c4 @ (s @ (s @ c5))) = (c4))) | (((g @ c5 @ c5) = (c3))) | 871.40/112.66 (((g @ c4 @ c5) = (c5))) | (((g @ c4 @ c5) = (c4))) | 871.40/112.66 (((g @ c4 @ c5) = (c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl25302])). 871.40/112.66 thf(zip_derived_cl24728, plain, 871.40/112.66 ((((g @ c4 @ (s @ c5)) = (c3))) <= ((((g @ c4 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl13423])). 871.40/112.66 thf(zip_derived_cl2040, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c4 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c5 @ X0) = (c3)) 871.40/112.66 | ((g @ c4 @ X0) = (c3)) 871.40/112.66 | ((g @ c4 @ X0) = (c5)) 871.40/112.66 | ((g @ c4 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2010])). 871.40/112.66 thf(zip_derived_cl24729, plain, 871.40/112.66 (((((c3) = (c4)) 871.40/112.66 | ((g @ c4 @ c5) = (c4)) 871.40/112.66 | ((g @ c4 @ c5) = (c5)) 871.40/112.66 | ((g @ c4 @ c5) = (c3)) 871.40/112.66 | ((g @ c5 @ c5) = (c3)))) <= ((((g @ c4 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl24728, zip_derived_cl2040])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf(zip_derived_cl24745, plain, 871.40/112.66 (((((g @ c4 @ c5) = (c4)) 871.40/112.66 | ((g @ c4 @ c5) = (c5)) 871.40/112.66 | ((g @ c4 @ c5) = (c3)) 871.40/112.66 | ((g @ c5 @ c5) = (c3)))) <= ((((g @ c4 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl24729, zip_derived_cl3704])). 871.40/112.66 thf('306', plain, 871.40/112.66 (~ (((g @ c4 @ (s @ c5)) = (c3))) | (((g @ c4 @ c5) = (c3))) | 871.40/112.66 (((g @ c4 @ c5) = (c5))) | (((g @ c4 @ c5) = (c4))) | 871.40/112.66 (((g @ c5 @ c5) = (c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl24745])). 871.40/112.66 thf(zip_derived_cl18580, plain, 871.40/112.66 ((((g @ c4 @ (s @ c5)) = (c1))) <= ((((g @ c5 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl18560])). 871.40/112.66 thf(zip_derived_cl2040, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c4 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c5 @ X0) = (c3)) 871.40/112.66 | ((g @ c4 @ X0) = (c3)) 871.40/112.66 | ((g @ c4 @ X0) = (c5)) 871.40/112.66 | ((g @ c4 @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2010])). 871.40/112.66 thf(zip_derived_cl27963, plain, 871.40/112.66 (((((c1) = (c4)) 871.40/112.66 | ((g @ c4 @ c5) = (c4)) 871.40/112.66 | ((g @ c4 @ c5) = (c5)) 871.40/112.66 | ((g @ c4 @ c5) = (c3)) 871.40/112.66 | ((g @ c5 @ c5) = (c3)))) <= ((((g @ c5 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl18580, zip_derived_cl2040])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf(zip_derived_cl27988, plain, 871.40/112.66 (((((g @ c4 @ c5) = (c4)) 871.40/112.66 | ((g @ c4 @ c5) = (c5)) 871.40/112.66 | ((g @ c4 @ c5) = (c3)) 871.40/112.66 | ((g @ c5 @ c5) = (c3)))) <= ((((g @ c5 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl27963, zip_derived_cl2825])). 871.40/112.66 thf('307', plain, 871.40/112.66 (~ (((g @ c5 @ (s @ c5)) = (c3))) | (((g @ c5 @ c5) = (c3))) | 871.40/112.66 (((g @ c4 @ c5) = (c5))) | (((g @ c4 @ c5) = (c4))) | 871.40/112.66 (((g @ c4 @ c5) = (c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl27988])). 871.40/112.66 thf(zip_derived_cl30852, plain, 871.40/112.66 ((((g @ c4 @ c5) = (c5))) <= ((((g @ c4 @ c5) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl24745])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl30860, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c5 @ c4))) 871.40/112.66 <= ((((g @ c4 @ c5) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl30852, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl30883, plain, 871.40/112.66 (( (zip_tseitin_2 @ c5 @ c4)) <= ((((g @ c4 @ c5) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl30860])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl30902, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c5 @ c4) | (zip_tseitin_0 @ c5 @ c4))) 871.40/112.66 <= ((((g @ c4 @ c5) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl30883, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39383, plain, 871.40/112.66 (( (zip_tseitin_1 @ c5 @ c4)) <= (( (zip_tseitin_1 @ c5 @ c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30902])). 871.40/112.66 thf(zip_derived_cl3, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl39387, plain, 871.40/112.66 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ c5 @ c4)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39383, zip_derived_cl3])). 871.40/112.66 thf(zip_derived_cl49, plain, (((c4) != (c8))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 871.40/112.66 zip_derived_cl18])). 871.40/112.66 thf('308', plain, (~ ( (zip_tseitin_1 @ c5 @ c4))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl39387, zip_derived_cl49])). 871.40/112.66 thf(zip_derived_cl30883, plain, 871.40/112.66 (( (zip_tseitin_2 @ c5 @ c4)) <= ((((g @ c4 @ c5) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl30860])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl30904, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c5 @ c4) | (zip_tseitin_0 @ c5 @ c4))) 871.40/112.66 <= ((((g @ c4 @ c5) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl30883, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl39394, plain, 871.40/112.66 (( (zip_tseitin_0 @ c5 @ c4)) <= (( (zip_tseitin_0 @ c5 @ c4)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30904])). 871.40/112.66 thf(zip_derived_cl1, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl39395, plain, 871.40/112.66 ((((c4) = (c1))) <= (( (zip_tseitin_0 @ c5 @ c4)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl39394, zip_derived_cl1])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('309', plain, (~ ( (zip_tseitin_0 @ c5 @ c4))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl39395, zip_derived_cl2825])). 871.40/112.66 thf('310', plain, 871.40/112.66 (~ (((g @ c4 @ c5) = (c5))) | ( (zip_tseitin_0 @ c5 @ c4)) | 871.40/112.66 ( (zip_tseitin_1 @ c5 @ c4))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl30902])). 871.40/112.66 thf(zip_derived_cl30461, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c1))) <= ((((g @ c4 @ c5) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl30441])). 871.40/112.66 thf(zip_derived_cl13560, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c4))) <= ((((g @ c3 @ c5) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7127])). 871.40/112.66 thf(zip_derived_cl30753, plain, 871.40/112.66 ((((c1) = (c4))) <= ((((g @ c3 @ c5) = (c4))) & (((g @ c4 @ c5) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl30461, zip_derived_cl13560])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('311', plain, (~ (((g @ c4 @ c5) = (c3))) | ~ (((g @ c3 @ c5) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl30753, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl30475, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c3))) <= ((((g @ c3 @ c5) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl24063])). 871.40/112.66 thf(zip_derived_cl13560, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c4))) <= ((((g @ c3 @ c5) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7127])). 871.40/112.66 thf(zip_derived_cl30478, plain, 871.40/112.66 ((((c3) = (c4))) <= ((((g @ c3 @ c5) = (c4))) & (((g @ c3 @ c5) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl30475, zip_derived_cl13560])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf('312', plain, (~ (((g @ c3 @ c5) = (c3))) | ~ (((g @ c3 @ c5) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl30478, zip_derived_cl3704])). 871.40/112.66 thf(zip_derived_cl23973, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c2))) <= ((((g @ c3 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl23959])). 871.40/112.66 thf(zip_derived_cl13560, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c4))) <= ((((g @ c3 @ c5) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7127])). 871.40/112.66 thf(zip_derived_cl24074, plain, 871.40/112.66 ((((c2) = (c4))) 871.40/112.66 <= ((((g @ c3 @ c5) = (c4))) & (((g @ c3 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl23973, zip_derived_cl13560])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('313', plain, 871.40/112.66 (~ (((g @ c3 @ c5) = (c4))) | ~ (((g @ c3 @ (s @ c5)) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl24074, zip_derived_cl1663])). 871.40/112.66 thf('314', plain, 871.40/112.66 (~ (((g @ c3 @ (s @ (s @ c5))) = (c3))) | 871.40/112.66 (((g @ c3 @ (s @ c5)) = (c4))) | (((g @ c3 @ (s @ c5)) = (c5))) | 871.40/112.66 (((g @ c4 @ (s @ c5)) = (c3))) | (((g @ c3 @ (s @ c5)) = (c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl12494])). 871.40/112.66 thf(zip_derived_cl10909, plain, 871.40/112.66 ((((g @ c8 @ (s @ c5)) = (c3))) <= ((((g @ c8 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl5455])). 871.40/112.66 thf(zip_derived_cl5367, plain, 871.40/112.66 ((((g @ c8 @ (s @ c5)) = (c2))) <= ((((g @ c8 @ (s @ (s @ c5))) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl5352])). 871.40/112.66 thf(zip_derived_cl10911, plain, 871.40/112.66 ((((c3) = (c2))) 871.40/112.66 <= ((((g @ c8 @ (s @ (s @ c5))) = (c4))) & 871.40/112.66 (((g @ c8 @ (s @ c5)) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl10909, zip_derived_cl5367])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('315', plain, 871.40/112.66 (~ (((g @ c8 @ (s @ c5)) = (c3))) | 871.40/112.66 ~ (((g @ c8 @ (s @ (s @ c5))) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl10911, zip_derived_cl5803])). 871.40/112.66 thf(zip_derived_cl30461, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c1))) <= ((((g @ c4 @ c5) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl30441])). 871.40/112.66 thf(zip_derived_cl23973, plain, 871.40/112.66 ((((g @ c3 @ c5) = (c2))) <= ((((g @ c3 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl23959])). 871.40/112.66 thf(zip_derived_cl30752, plain, 871.40/112.66 ((((c1) = (c2))) 871.40/112.66 <= ((((g @ c3 @ (s @ c5)) = (c4))) & (((g @ c4 @ c5) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl30461, zip_derived_cl23973])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('316', plain, 871.40/112.66 (~ (((g @ c4 @ c5) = (c3))) | ~ (((g @ c3 @ (s @ c5)) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl30752, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl28141, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c5) = (c3))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c5) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl19111])). 871.40/112.66 thf(zip_derived_cl10, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl28151, plain, 871.40/112.66 (((((c3) != (c3)) | ((g @ (s @ c5) @ c5) = (c1)))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c5) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl28141, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl28176, plain, 871.40/112.66 ((((g @ (s @ c5) @ c5) = (c1))) <= ((((g @ (s @ (s @ c5)) @ c5) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl28151])). 871.40/112.66 thf(zip_derived_cl8395, plain, 871.40/112.66 ((((g @ (s @ c5) @ c5) = (c3))) <= ((((g @ (s @ c5) @ c5) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl8392])). 871.40/112.66 thf(zip_derived_cl31924, plain, 871.40/112.66 ((((c1) = (c3))) 871.40/112.66 <= ((((g @ (s @ c5) @ c5) = (c3))) & 871.40/112.66 (((g @ (s @ (s @ c5)) @ c5) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl28176, zip_derived_cl8395])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('317', plain, 871.40/112.66 (~ (((g @ (s @ (s @ c5)) @ c5) = (c3))) | 871.40/112.66 ~ (((g @ (s @ c5) @ c5) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl31924, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl18534, plain, 871.40/112.66 ((((g @ c5 @ c5) = (c2))) <= ((((g @ c5 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl18519])). 871.40/112.66 thf(zip_derived_cl8395, plain, 871.40/112.66 ((((g @ (s @ c5) @ c5) = (c3))) <= ((((g @ (s @ c5) @ c5) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl8392])). 871.40/112.66 thf(zip_derived_cl10, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 (((g @ X0 @ X1) = (c1)) | ((g @ (s @ X0) @ X1) != (c3)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl8400, plain, 871.40/112.66 (((((c3) != (c3)) | ((g @ c5 @ c5) = (c1)))) 871.40/112.66 <= ((((g @ (s @ c5) @ c5) = (c3))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl8395, zip_derived_cl10])). 871.40/112.66 thf(zip_derived_cl8418, plain, 871.40/112.66 ((((g @ c5 @ c5) = (c1))) <= ((((g @ (s @ c5) @ c5) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl8400])). 871.40/112.66 thf(zip_derived_cl19215, plain, 871.40/112.66 ((((c2) = (c1))) 871.40/112.66 <= ((((g @ (s @ c5) @ c5) = (c3))) & (((g @ c5 @ (s @ c5)) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl18534, zip_derived_cl8418])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('318', plain, 871.40/112.66 (~ (((g @ c5 @ (s @ c5)) = (c4))) | ~ (((g @ (s @ c5) @ c5) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl19215, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl10209, plain, 871.40/112.66 ((((g @ c5 @ c5) = (c3))) <= ((((g @ c5 @ c5) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl10206])). 871.40/112.66 thf(zip_derived_cl8418, plain, 871.40/112.66 ((((g @ c5 @ c5) = (c1))) <= ((((g @ (s @ c5) @ c5) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl8400])). 871.40/112.66 thf(zip_derived_cl10244, plain, 871.40/112.66 ((((c3) = (c1))) 871.40/112.66 <= ((((g @ (s @ c5) @ c5) = (c3))) & (((g @ c5 @ c5) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl10209, zip_derived_cl8418])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('319', plain, 871.40/112.66 (~ (((g @ c5 @ c5) = (c3))) | ~ (((g @ (s @ c5) @ c5) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl10244, zip_derived_cl4494])). 871.40/112.66 thf(zip_derived_cl8418, plain, 871.40/112.66 ((((g @ c5 @ c5) = (c1))) <= ((((g @ (s @ c5) @ c5) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl8400])). 871.40/112.66 thf(zip_derived_cl7354, plain, 871.40/112.66 ((((g @ c5 @ c5) = (c4))) <= ((((g @ c5 @ c4) = (c2))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl7353])). 871.40/112.66 thf(zip_derived_cl9206, plain, 871.40/112.66 ((((c1) = (c4))) 871.40/112.66 <= ((((g @ (s @ c5) @ c5) = (c3))) & (((g @ c5 @ c4) = (c2))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl8418, zip_derived_cl7354])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('320', plain, 871.40/112.66 (~ (((g @ (s @ c5) @ c5) = (c3))) | ~ (((g @ c5 @ c4) = (c2)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl9206, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl13295, plain, 871.40/112.66 ((((g @ c4 @ c2) = (c3))) <= ((((g @ c4 @ c2) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl7112])). 871.40/112.66 thf(zip_derived_cl3114, plain, 871.40/112.66 ((((g @ c4 @ c2) = (c2))) <= ((((g @ c4 @ c3) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl3098])). 871.40/112.66 thf(zip_derived_cl13300, plain, 871.40/112.66 ((((c3) = (c2))) <= ((((g @ c4 @ c3) = (c4))) & (((g @ c4 @ c2) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl13295, zip_derived_cl3114])). 871.40/112.66 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.66 thf('321', plain, (~ (((g @ c4 @ c3) = (c4))) | ~ (((g @ c4 @ c2) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl13300, zip_derived_cl5803])). 871.40/112.66 thf(zip_derived_cl12065, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ (s @ c5) @ X0) = (c1)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c4)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 871.40/112.66 | ((g @ c8 @ X0) = (c3)) 871.40/112.66 | ((g @ (s @ c5) @ (s @ X0)) = (c3)) 871.40/112.66 | ((g @ (s @ c5) @ (s @ X0)) = (c5)) 871.40/112.66 | ((g @ (s @ c5) @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ (s @ c5) @ (s @ X0)) = (c2)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl11968])). 871.40/112.66 thf(zip_derived_cl4440, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c3) = (c2))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl4422])). 871.40/112.66 thf(zip_derived_cl23622, plain, 871.40/112.66 (((((c4) = (c2)) 871.40/112.66 | ((g @ (s @ c5) @ (s @ c3)) = (c2)) 871.40/112.66 | ((g @ (s @ c5) @ (s @ c3)) = (c4)) 871.40/112.66 | ((g @ (s @ c5) @ (s @ c3)) = (c5)) 871.40/112.66 | ((g @ (s @ c5) @ (s @ c3)) = (c3)) 871.40/112.66 | ((g @ c8 @ c3) = (c3)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ c3) = (c5)) 871.40/112.66 | ((g @ (s @ c5) @ c3) = (c1)))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl12065, zip_derived_cl4440])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl23717, plain, 871.40/112.66 (((((c4) = (c2)) 871.40/112.66 | ((g @ (s @ c5) @ c4) = (c2)) 871.40/112.66 | ((g @ (s @ c5) @ c4) = (c4)) 871.40/112.66 | ((g @ (s @ c5) @ c4) = (c5)) 871.40/112.66 | ((g @ (s @ c5) @ c4) = (c3)) 871.40/112.66 | ((g @ c8 @ c3) = (c3)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ c3) = (c5)) 871.40/112.66 | ((g @ (s @ c5) @ c3) = (c1)))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl23622, zip_derived_cl18, zip_derived_cl18, 871.40/112.66 zip_derived_cl18, zip_derived_cl18])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf(zip_derived_cl23718, plain, 871.40/112.66 (((((g @ (s @ c5) @ c4) = (c2)) 871.40/112.66 | ((g @ (s @ c5) @ c4) = (c4)) 871.40/112.66 | ((g @ (s @ c5) @ c4) = (c5)) 871.40/112.66 | ((g @ (s @ c5) @ c4) = (c3)) 871.40/112.66 | ((g @ c8 @ c3) = (c3)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ c3) = (c5)) 871.40/112.66 | ((g @ (s @ c5) @ c3) = (c1)))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl23717, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl29149, plain, 871.40/112.66 ((((g @ (s @ c5) @ c3) = (c1))) <= ((((g @ (s @ c5) @ c3) = (c1))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl23718])). 871.40/112.66 thf(zip_derived_cl4162, plain, 871.40/112.66 ((((g @ (s @ c5) @ c3) = (c2))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1361])). 871.40/112.66 thf(zip_derived_cl29154, plain, 871.40/112.66 ((((c1) = (c2))) 871.40/112.66 <= ((((g @ (s @ c5) @ c3) = (c2))) & (((g @ (s @ c5) @ c3) = (c1))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl29149, zip_derived_cl4162])). 871.40/112.66 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.66 thf('322', plain, 871.40/112.66 (~ (((g @ (s @ c5) @ c3) = (c1))) | ~ (((g @ (s @ c5) @ c3) = (c2)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl29154, zip_derived_cl6754])). 871.40/112.66 thf(zip_derived_cl11594, plain, 871.40/112.66 ((((g @ (s @ c5) @ c4) = (c1))) <= ((((g @ (s @ (s @ c5)) @ c4) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl11570])). 871.40/112.66 thf(zip_derived_cl4183, plain, 871.40/112.66 ((((g @ (s @ c5) @ c4) = (c4))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl4182])). 871.40/112.66 thf(zip_derived_cl22479, plain, 871.40/112.66 ((((c1) = (c4))) 871.40/112.66 <= ((((g @ (s @ c5) @ c3) = (c2))) & 871.40/112.66 (((g @ (s @ (s @ c5)) @ c4) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl11594, zip_derived_cl4183])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('323', plain, 871.40/112.66 (~ (((g @ (s @ c5) @ c3) = (c2))) | 871.40/112.66 ~ (((g @ (s @ (s @ c5)) @ c4) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl22479, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl4800, plain, 871.40/112.66 ((((g @ (s @ c5) @ c4) = (c2))) <= ((((g @ (s @ c5) @ c5) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl4785])). 871.40/112.66 thf(zip_derived_cl4183, plain, 871.40/112.66 ((((g @ (s @ c5) @ c4) = (c4))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl4182])). 871.40/112.66 thf(zip_derived_cl10539, plain, 871.40/112.66 ((((c2) = (c4))) 871.40/112.66 <= ((((g @ (s @ c5) @ c3) = (c2))) & (((g @ (s @ c5) @ c5) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl4800, zip_derived_cl4183])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('324', plain, 871.40/112.66 (~ (((g @ (s @ c5) @ c3) = (c2))) | ~ (((g @ (s @ c5) @ c5) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl10539, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl4183, plain, 871.40/112.66 ((((g @ (s @ c5) @ c4) = (c4))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl4182])). 871.40/112.66 thf(zip_derived_cl2768, plain, 871.40/112.66 ((((g @ (s @ c5) @ c4) = (c2))) <= ((((g @ (s @ c5) @ c4) = (c2))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2767])). 871.40/112.66 thf(zip_derived_cl9612, plain, 871.40/112.66 ((((c4) = (c2))) 871.40/112.66 <= ((((g @ (s @ c5) @ c4) = (c2))) & (((g @ (s @ c5) @ c3) = (c2))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl4183, zip_derived_cl2768])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('325', plain, 871.40/112.66 (~ (((g @ (s @ c5) @ c3) = (c2))) | ~ (((g @ (s @ c5) @ c4) = (c2)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl9612, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl4183, plain, 871.40/112.66 ((((g @ (s @ c5) @ c4) = (c4))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl4182])). 871.40/112.66 thf(zip_derived_cl2770, plain, 871.40/112.66 ((((g @ (s @ c5) @ c4) = (c3))) <= ((((g @ (s @ c5) @ c4) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2767])). 871.40/112.66 thf(zip_derived_cl9611, plain, 871.40/112.66 ((((c4) = (c3))) 871.40/112.66 <= ((((g @ (s @ c5) @ c4) = (c3))) & (((g @ (s @ c5) @ c3) = (c2))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl4183, zip_derived_cl2770])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf('326', plain, 871.40/112.66 (~ (((g @ (s @ c5) @ c3) = (c2))) | ~ (((g @ (s @ c5) @ c4) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl9611, zip_derived_cl3704])). 871.40/112.66 thf(zip_derived_cl4162, plain, 871.40/112.66 ((((g @ (s @ c5) @ c3) = (c2))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1361])). 871.40/112.66 thf(zip_derived_cl3552, plain, 871.40/112.66 ((((g @ (s @ c5) @ c2) = (c2))) <= ((((g @ (s @ c5) @ c2) = (c2))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1125])). 871.40/112.66 thf(zip_derived_cl13, plain, 871.40/112.66 (![X3 : $i, X5 : $i]: 871.40/112.66 (((g @ X3 @ (s @ X5)) = (c4)) | ((g @ X3 @ X5) != (c2)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl3562, plain, 871.40/112.66 (((((c2) != (c2)) | ((g @ (s @ c5) @ (s @ c2)) = (c4)))) 871.40/112.66 <= ((((g @ (s @ c5) @ c2) = (c2))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl3552, zip_derived_cl13])). 871.40/112.66 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl3576, plain, 871.40/112.66 (((((c2) != (c2)) | ((g @ (s @ c5) @ c3) = (c4)))) 871.40/112.66 <= ((((g @ (s @ c5) @ c2) = (c2))))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl3562, zip_derived_cl19])). 871.40/112.66 thf(zip_derived_cl3577, plain, 871.40/112.66 ((((g @ (s @ c5) @ c3) = (c4))) <= ((((g @ (s @ c5) @ c2) = (c2))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl3576])). 871.40/112.66 thf(zip_derived_cl9039, plain, 871.40/112.66 ((((c2) = (c4))) 871.40/112.66 <= ((((g @ (s @ c5) @ c2) = (c2))) & (((g @ (s @ c5) @ c3) = (c2))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl4162, zip_derived_cl3577])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('327', plain, 871.40/112.66 (~ (((g @ (s @ c5) @ c3) = (c2))) | ~ (((g @ (s @ c5) @ c2) = (c2)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl9039, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl29205, plain, 871.40/112.66 ((((g @ (s @ c5) @ c4) = (c1))) <= ((((g @ (s @ c5) @ c4) = (c1))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl23732])). 871.40/112.66 thf(zip_derived_cl4183, plain, 871.40/112.66 ((((g @ (s @ c5) @ c4) = (c4))) <= ((((g @ (s @ c5) @ c3) = (c2))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl4182])). 871.40/112.66 thf(zip_derived_cl29209, plain, 871.40/112.66 ((((c1) = (c4))) 871.40/112.66 <= ((((g @ (s @ c5) @ c3) = (c2))) & (((g @ (s @ c5) @ c4) = (c1))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl29205, zip_derived_cl4183])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('328', plain, 871.40/112.66 (~ (((g @ (s @ c5) @ c4) = (c1))) | ~ (((g @ (s @ c5) @ c3) = (c2)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl29209, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl2849, plain, 871.40/112.66 ((((g @ c5 @ c3) = (c4))) <= ((((g @ c5 @ c2) = (c2))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl2848])). 871.40/112.66 thf(zip_derived_cl2279, plain, 871.40/112.66 ((((g @ c5 @ c3) = (c3))) <= ((((g @ c5 @ c3) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl2101])). 871.40/112.66 thf(zip_derived_cl6995, plain, 871.40/112.66 ((((c4) = (c3))) <= ((((g @ c5 @ c3) = (c3))) & (((g @ c5 @ c2) = (c2))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl2849, zip_derived_cl2279])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf('329', plain, (~ (((g @ c5 @ c2) = (c2))) | ~ (((g @ c5 @ c3) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl6995, zip_derived_cl3704])). 871.40/112.66 thf(zip_derived_cl4766, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c5) = (c2))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl4750])). 871.40/112.66 thf(zip_derived_cl3178, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c5) = (c4))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl907])). 871.40/112.66 thf(zip_derived_cl10442, plain, 871.40/112.66 ((((c2) = (c4))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))) & 871.40/112.66 (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl4766, zip_derived_cl3178])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('330', plain, 871.40/112.66 (~ (((g @ (s @ (s @ c5)) @ c5) = (c4))) | 871.40/112.66 ~ (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl10442, zip_derived_cl1663])). 871.40/112.66 thf('331', plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c4) = (c4))) | 871.40/112.66 (((g @ (s @ (s @ c5)) @ c4) = (c3))) | 871.40/112.66 (((g @ (s @ (s @ c5)) @ c4) = (c5))) | 871.40/112.66 (((g @ (s @ (s @ c5)) @ c5) = (c4))) | (((g @ c8 @ c4) = (c3)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6131])). 871.40/112.66 thf(zip_derived_cl17, plain, (((c5) = (s @ c4))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl1820, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ (s @ (s @ c5)) @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c8 @ X0) = (c3)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1771])). 871.40/112.66 thf(zip_derived_cl6145, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c5) = (c4)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ c4) = (c4)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ c4) = (c5)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ c4) = (c3)) 871.40/112.66 | ((g @ c8 @ c4) = (c3)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1820])). 871.40/112.66 thf(zip_derived_cl11730, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c4) = (c5))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6145])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl11742, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c4 @ (s @ (s @ c5))))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl11730, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl11769, plain, 871.40/112.66 (( (zip_tseitin_2 @ c4 @ (s @ (s @ c5)))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl11742])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl23437, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c4 @ (s @ (s @ c5))) 871.40/112.66 | (zip_tseitin_0 @ c4 @ (s @ (s @ c5))))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl11769, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl28909, plain, 871.40/112.66 (( (zip_tseitin_1 @ c4 @ (s @ (s @ c5)))) 871.40/112.66 <= (( (zip_tseitin_1 @ c4 @ (s @ (s @ c5)))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl23437])). 871.40/112.66 thf(zip_derived_cl4, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl28912, plain, 871.40/112.66 ((((c4) = (c8))) <= (( (zip_tseitin_1 @ c4 @ (s @ (s @ c5)))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl28909, zip_derived_cl4])). 871.40/112.66 thf(zip_derived_cl49, plain, (((c4) != (c8))), 871.40/112.66 inference('demod', [status(thm)], 871.40/112.66 [zip_derived_cl33, zip_derived_cl15, zip_derived_cl19, 871.40/112.66 zip_derived_cl18])). 871.40/112.66 thf('332', plain, (~ ( (zip_tseitin_1 @ c4 @ (s @ (s @ c5))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl28912, zip_derived_cl49])). 871.40/112.66 thf(zip_derived_cl11769, plain, 871.40/112.66 (( (zip_tseitin_2 @ c4 @ (s @ (s @ c5)))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl11742])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl23439, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c4 @ (s @ (s @ c5))) 871.40/112.66 | (zip_tseitin_0 @ c4 @ (s @ (s @ c5))))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl11769, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl28920, plain, 871.40/112.66 (( (zip_tseitin_0 @ c4 @ (s @ (s @ c5)))) 871.40/112.66 <= (( (zip_tseitin_0 @ c4 @ (s @ (s @ c5)))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl23439])). 871.40/112.66 thf(zip_derived_cl0, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl28923, plain, 871.40/112.66 ((((c4) = (c1))) <= (( (zip_tseitin_0 @ c4 @ (s @ (s @ c5)))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl28920, zip_derived_cl0])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('333', plain, (~ ( (zip_tseitin_0 @ c4 @ (s @ (s @ c5))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl28923, zip_derived_cl2825])). 871.40/112.66 thf('334', plain, 871.40/112.66 (~ (((g @ (s @ (s @ c5)) @ c4) = (c5))) | 871.40/112.66 ( (zip_tseitin_0 @ c4 @ (s @ (s @ c5)))) | 871.40/112.66 ( (zip_tseitin_1 @ c4 @ (s @ (s @ c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl23437])). 871.40/112.66 thf(zip_derived_cl5157, plain, 871.40/112.66 ((((g @ c8 @ c4) = (c3))) <= ((((g @ c8 @ c4) = (c3))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1510])). 871.40/112.66 thf(zip_derived_cl465, plain, 871.40/112.66 ((((g @ c8 @ c4) = (c4))) <= ((((g @ c8 @ c4) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl427])). 871.40/112.66 thf(zip_derived_cl5160, plain, 871.40/112.66 ((((c3) = (c4))) <= ((((g @ c8 @ c4) = (c4))) & (((g @ c8 @ c4) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl5157, zip_derived_cl465])). 871.40/112.66 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.66 thf('335', plain, (~ (((g @ c8 @ c4) = (c3))) | ~ (((g @ c8 @ c4) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl5160, zip_derived_cl3704])). 871.40/112.66 thf(zip_derived_cl555, plain, 871.40/112.66 ((((g @ c8 @ c4) = (c2))) <= ((((g @ c8 @ c5) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl540])). 871.40/112.66 thf(zip_derived_cl465, plain, 871.40/112.66 ((((g @ c8 @ c4) = (c4))) <= ((((g @ c8 @ c4) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl427])). 871.40/112.66 thf(zip_derived_cl700, plain, 871.40/112.66 ((((c2) = (c4))) <= ((((g @ c8 @ c4) = (c4))) & (((g @ c8 @ c5) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl555, zip_derived_cl465])). 871.40/112.66 thf(zip_derived_cl326, plain, ((((c2) != (c4))) <= (~ (((c2) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl298])). 871.40/112.66 thf(zip_derived_cl771, plain, 871.40/112.66 ((((c4) != (c4))) 871.40/112.66 <= (~ (((c2) = (c4))) & 871.40/112.66 (((g @ c8 @ c4) = (c4))) & 871.40/112.66 (((g @ c8 @ c5) = (c4))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl700, zip_derived_cl326])). 871.40/112.66 thf('336', plain, 871.40/112.66 (~ (((g @ c8 @ c5) = (c4))) | ~ (((g @ c8 @ c4) = (c4))) | 871.40/112.66 (((c2) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl771])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl304, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ c8 @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c8 @ X0) = (c4)) 871.40/112.66 | ((g @ c8 @ X0) = (c5)) 871.40/112.66 | ((g @ c8 @ X0) = (c3)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl267])). 871.40/112.66 thf(zip_derived_cl1509, plain, 871.40/112.66 ((((g @ c8 @ c4) = (c4)) 871.40/112.66 | ((g @ c8 @ c3) = (c3)) 871.40/112.66 | ((g @ c8 @ c3) = (c5)) 871.40/112.66 | ((g @ c8 @ c3) = (c4)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl304])). 871.40/112.66 thf('337', plain, 871.40/112.66 ((((g @ c8 @ c4) = (c4))) | (((g @ c8 @ c3) = (c3))) | 871.40/112.66 (((g @ c8 @ c3) = (c4))) | (((g @ c8 @ c3) = (c5)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1509])). 871.40/112.66 thf(zip_derived_cl5104, plain, 871.40/112.66 ((((g @ c8 @ c3) = (c5))) <= ((((g @ c8 @ c3) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl1509])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl5113, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ c3 @ c8))) 871.40/112.66 <= ((((g @ c8 @ c3) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl5104, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl5136, plain, 871.40/112.66 (( (zip_tseitin_2 @ c3 @ c8)) <= ((((g @ c8 @ c3) = (c5))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl5113])). 871.40/112.66 thf(zip_derived_cl6, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: 871.40/112.66 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.66 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.66 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.66 thf(zip_derived_cl6217, plain, 871.40/112.66 ((( (zip_tseitin_1 @ c3 @ c8) | (zip_tseitin_0 @ c3 @ c8))) 871.40/112.66 <= ((((g @ c8 @ c3) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl5136, zip_derived_cl6])). 871.40/112.66 thf(zip_derived_cl11788, plain, 871.40/112.66 (( (zip_tseitin_1 @ c3 @ c8)) <= (( (zip_tseitin_1 @ c3 @ c8)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6217])). 871.40/112.66 thf(zip_derived_cl4, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.66 thf(zip_derived_cl11791, plain, 871.40/112.66 ((((c3) = (c8))) <= (( (zip_tseitin_1 @ c3 @ c8)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl11788, zip_derived_cl4])). 871.40/112.66 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl11877, plain, 871.40/112.66 ((((c1) = (s @ c3))) <= (( (zip_tseitin_1 @ c3 @ c8)))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl11791, zip_derived_cl14])). 871.40/112.66 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl11886, plain, 871.40/112.66 ((((c1) = (c4))) <= (( (zip_tseitin_1 @ c3 @ c8)))), 871.40/112.66 inference('demod', [status(thm)], [zip_derived_cl11877, zip_derived_cl18])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('338', plain, (~ ( (zip_tseitin_1 @ c3 @ c8))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl11886, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl11789, plain, 871.40/112.66 (( (zip_tseitin_0 @ c3 @ c8)) <= (( (zip_tseitin_0 @ c3 @ c8)))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6217])). 871.40/112.66 thf(zip_derived_cl0, plain, 871.40/112.66 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.66 thf(zip_derived_cl11890, plain, 871.40/112.66 ((((c3) = (c1))) <= (( (zip_tseitin_0 @ c3 @ c8)))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl11789, zip_derived_cl0])). 871.40/112.66 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.66 thf('339', plain, (~ ( (zip_tseitin_0 @ c3 @ c8))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl11890, zip_derived_cl4494])). 871.40/112.66 thf('340', plain, 871.40/112.66 (~ (((g @ c8 @ c3) = (c5))) | ( (zip_tseitin_0 @ c3 @ c8)) | 871.40/112.66 ( (zip_tseitin_1 @ c3 @ c8))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6217])). 871.40/112.66 thf(zip_derived_cl11504, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c3) = (c4))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6130])). 871.40/112.66 thf(zip_derived_cl4440, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c3) = (c2))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl4422])). 871.40/112.66 thf(zip_derived_cl11508, plain, 871.40/112.66 ((((c4) = (c2))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c4) = (c4))) & 871.40/112.66 (((g @ (s @ (s @ c5)) @ c3) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl11504, zip_derived_cl4440])). 871.40/112.66 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.66 thf('341', plain, 871.40/112.66 (~ (((g @ (s @ (s @ c5)) @ c3) = (c4))) | 871.40/112.66 ~ (((g @ (s @ (s @ c5)) @ c4) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl11508, zip_derived_cl1663])). 871.40/112.66 thf(zip_derived_cl17436, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c5) = (c1))) <= ((((g @ c8 @ c5) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl17416])). 871.40/112.66 thf(zip_derived_cl3178, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c5) = (c4))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl907])). 871.40/112.66 thf(zip_derived_cl26089, plain, 871.40/112.66 ((((c1) = (c4))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))) & (((g @ c8 @ c5) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl17436, zip_derived_cl3178])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('342', plain, 871.40/112.66 (~ (((g @ c8 @ c5) = (c3))) | ~ (((g @ (s @ (s @ c5)) @ c5) = (c4)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl26089, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl11504, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c3) = (c4))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ c3) = (c4))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl6130])). 871.40/112.66 thf(zip_derived_cl3914, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ c3) = (c1))) <= ((((g @ c8 @ c3) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl3896])). 871.40/112.66 thf(zip_derived_cl11509, plain, 871.40/112.66 ((((c4) = (c1))) 871.40/112.66 <= ((((g @ c8 @ c3) = (c3))) & (((g @ (s @ (s @ c5)) @ c3) = (c4))))), 871.40/112.66 inference('sup+', [status(thm)], 871.40/112.66 [zip_derived_cl11504, zip_derived_cl3914])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf('343', plain, 871.40/112.66 (~ (((g @ (s @ (s @ c5)) @ c3) = (c4))) | ~ (((g @ c8 @ c3) = (c3)))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl11509, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl5457, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ (s @ (s @ c5))) = (c1))) 871.40/112.66 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl5438])). 871.40/112.66 thf(zip_derived_cl1820, plain, 871.40/112.66 (![X0 : $i]: 871.40/112.66 (((g @ (s @ (s @ c5)) @ (s @ X0)) = (c4)) 871.40/112.66 | ((g @ c8 @ X0) = (c3)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c3)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c5)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ X0) = (c4)))), 871.40/112.66 inference('simplify', [status(thm)], [zip_derived_cl1771])). 871.40/112.66 thf(zip_derived_cl10959, plain, 871.40/112.66 (((((c1) = (c4)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3)) 871.40/112.66 | ((g @ c8 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('sup+', [status(thm)], [zip_derived_cl5457, zip_derived_cl1820])). 871.40/112.66 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.66 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.66 thf(zip_derived_cl10975, plain, 871.40/112.66 (((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5)) 871.40/112.66 | ((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3)) 871.40/112.66 | ((g @ c8 @ (s @ c5)) = (c3)))) 871.40/112.66 <= ((((g @ c8 @ (s @ (s @ c5))) = (c3))))), 871.40/112.66 inference('simplify_reflect-', [status(thm)], 871.40/112.66 [zip_derived_cl10959, zip_derived_cl2825])). 871.40/112.66 thf(zip_derived_cl19250, plain, 871.40/112.66 ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5))))), 871.40/112.66 inference('split', [status(esa)], [zip_derived_cl10975])). 871.40/112.66 thf(zip_derived_cl25, plain, 871.40/112.66 (![X11 : $i, X13 : $i]: 871.40/112.66 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.66 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.66 thf(zip_derived_cl19261, plain, 871.40/112.66 (((((c5) != (c5)) | (zip_tseitin_2 @ (s @ c5) @ (s @ (s @ c5))))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5))))), 871.40/112.66 inference('sup-', [status(thm)], [zip_derived_cl19250, zip_derived_cl25])). 871.40/112.66 thf(zip_derived_cl19287, plain, 871.40/112.66 (( (zip_tseitin_2 @ (s @ c5) @ (s @ (s @ c5)))) 871.40/112.66 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl19261])). 871.40/112.67 thf(zip_derived_cl6, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.67 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.67 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.67 thf(zip_derived_cl28389, plain, 871.40/112.67 ((( (zip_tseitin_1 @ (s @ c5) @ (s @ (s @ c5))) 871.40/112.67 | (zip_tseitin_0 @ (s @ c5) @ (s @ (s @ c5))))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl19287, zip_derived_cl6])). 871.40/112.67 thf(zip_derived_cl33084, plain, 871.40/112.67 (( (zip_tseitin_1 @ (s @ c5) @ (s @ (s @ c5)))) 871.40/112.67 <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl28389])). 871.40/112.67 thf(zip_derived_cl4, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.67 thf(zip_derived_cl33087, plain, 871.40/112.67 ((((s @ c5) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl33084, zip_derived_cl4])). 871.40/112.67 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 871.40/112.67 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 871.40/112.67 thf(zip_derived_cl33294, plain, 871.40/112.67 ((((s @ (s @ c8)) = (c8))) 871.40/112.67 <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl33087, zip_derived_cl32])). 871.40/112.67 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl33734, plain, 871.40/112.67 ((((c2) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl33294, zip_derived_cl14, zip_derived_cl15])). 871.40/112.67 thf(zip_derived_cl33087, plain, 871.40/112.67 ((((s @ c5) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl33084, zip_derived_cl4])). 871.40/112.67 thf(zip_derived_cl52, plain, (((s @ c5) != (c2))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl36, zip_derived_cl18, zip_derived_cl17])). 871.40/112.67 thf(zip_derived_cl33292, plain, 871.40/112.67 ((((c8) != (c2))) <= (( (zip_tseitin_1 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl33087, zip_derived_cl52])). 871.40/112.67 thf('344', plain, (~ ( (zip_tseitin_1 @ (s @ c5) @ (s @ (s @ c5))))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl33734, zip_derived_cl33292])). 871.40/112.67 thf(zip_derived_cl19287, plain, 871.40/112.67 (( (zip_tseitin_2 @ (s @ c5) @ (s @ (s @ c5)))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl19261])). 871.40/112.67 thf(zip_derived_cl6, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.67 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.67 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.67 thf(zip_derived_cl28391, plain, 871.40/112.67 ((( (zip_tseitin_1 @ (s @ c5) @ (s @ (s @ c5))) 871.40/112.67 | (zip_tseitin_0 @ (s @ c5) @ (s @ (s @ c5))))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl19287, zip_derived_cl6])). 871.40/112.67 thf(zip_derived_cl33969, plain, 871.40/112.67 (( (zip_tseitin_0 @ (s @ c5) @ (s @ (s @ c5)))) 871.40/112.67 <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl28391])). 871.40/112.67 thf(zip_derived_cl0, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.67 thf(zip_derived_cl33972, plain, 871.40/112.67 ((((s @ c5) = (c1))) <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl33969, zip_derived_cl0])). 871.40/112.67 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 871.40/112.67 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 871.40/112.67 thf(zip_derived_cl34190, plain, 871.40/112.67 ((((s @ (s @ c1)) = (c8))) 871.40/112.67 <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl33972, zip_derived_cl32])). 871.40/112.67 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl34588, plain, 871.40/112.67 ((((c3) = (c8))) <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl34190, zip_derived_cl15, zip_derived_cl19])). 871.40/112.67 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl34847, plain, 871.40/112.67 ((((c1) = (s @ c3))) <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl34588, zip_derived_cl14])). 871.40/112.67 thf(zip_derived_cl18, plain, (((c4) = (s @ c3))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl34872, plain, 871.40/112.67 ((((c1) = (c4))) <= (( (zip_tseitin_0 @ (s @ c5) @ (s @ (s @ c5)))))), 871.40/112.67 inference('demod', [status(thm)], [zip_derived_cl34847, zip_derived_cl18])). 871.40/112.67 thf(zip_derived_cl2825, plain, (((c4) != (c1))), 871.40/112.67 inference('simpl_trail', [status(thm)], [zip_derived_cl2824, '8'])). 871.40/112.67 thf('345', plain, (~ ( (zip_tseitin_0 @ (s @ c5) @ (s @ (s @ c5))))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl34872, zip_derived_cl2825])). 871.40/112.67 thf('346', plain, 871.40/112.67 (~ (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5))) | 871.40/112.67 ( (zip_tseitin_0 @ (s @ c5) @ (s @ (s @ c5)))) | 871.40/112.67 ( (zip_tseitin_1 @ (s @ c5) @ (s @ (s @ c5))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl28389])). 871.40/112.67 thf('347', plain, 871.40/112.67 ((((g @ c8 @ (s @ (s @ c5))) = (c4))) | 871.40/112.67 (((g @ c8 @ (s @ (s @ c5))) = (c3))) | 871.40/112.67 (((g @ c8 @ (s @ (s @ c5))) = (c5)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl1528])). 871.40/112.67 thf(zip_derived_cl5348, plain, 871.40/112.67 ((((g @ c8 @ (s @ (s @ c5))) = (c5))) 871.40/112.67 <= ((((g @ c8 @ (s @ (s @ c5))) = (c5))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl1528])). 871.40/112.67 thf(zip_derived_cl25, plain, 871.40/112.67 (![X11 : $i, X13 : $i]: 871.40/112.67 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl10761, plain, 871.40/112.67 (((((c5) != (c5)) | (zip_tseitin_2 @ (s @ (s @ c5)) @ c8))) 871.40/112.67 <= ((((g @ c8 @ (s @ (s @ c5))) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl5348, zip_derived_cl25])). 871.40/112.67 thf(zip_derived_cl10782, plain, 871.40/112.67 (( (zip_tseitin_2 @ (s @ (s @ c5)) @ c8)) 871.40/112.67 <= ((((g @ c8 @ (s @ (s @ c5))) = (c5))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl10761])). 871.40/112.67 thf(zip_derived_cl6, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.67 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.67 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.67 thf(zip_derived_cl10809, plain, 871.40/112.67 ((( (zip_tseitin_1 @ (s @ (s @ c5)) @ c8) 871.40/112.67 | (zip_tseitin_0 @ (s @ (s @ c5)) @ c8))) 871.40/112.67 <= ((((g @ c8 @ (s @ (s @ c5))) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl10782, zip_derived_cl6])). 871.40/112.67 thf(zip_derived_cl18823, plain, 871.40/112.67 (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c8)) 871.40/112.67 <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c8)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl10809])). 871.40/112.67 thf(zip_derived_cl1, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.67 thf(zip_derived_cl18824, plain, 871.40/112.67 ((((c8) = (c1))) <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c8)))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl18823, zip_derived_cl1])). 871.40/112.67 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl18902, plain, 871.40/112.67 ((((c1) = (s @ c1))) <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c8)))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl18824, zip_derived_cl14])). 871.40/112.67 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl18940, plain, 871.40/112.67 ((((c1) = (c2))) <= (( (zip_tseitin_0 @ (s @ (s @ c5)) @ c8)))), 871.40/112.67 inference('demod', [status(thm)], [zip_derived_cl18902, zip_derived_cl15])). 871.40/112.67 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.67 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.67 thf('348', plain, (~ ( (zip_tseitin_0 @ (s @ (s @ c5)) @ c8))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl18940, zip_derived_cl6754])). 871.40/112.67 thf(zip_derived_cl10782, plain, 871.40/112.67 (( (zip_tseitin_2 @ (s @ (s @ c5)) @ c8)) 871.40/112.67 <= ((((g @ c8 @ (s @ (s @ c5))) = (c5))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl10761])). 871.40/112.67 thf(zip_derived_cl6, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.67 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.67 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.67 thf(zip_derived_cl10807, plain, 871.40/112.67 ((( (zip_tseitin_1 @ (s @ (s @ c5)) @ c8) 871.40/112.67 | (zip_tseitin_0 @ (s @ (s @ c5)) @ c8))) 871.40/112.67 <= ((((g @ c8 @ (s @ (s @ c5))) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl10782, zip_derived_cl6])). 871.40/112.67 thf(zip_derived_cl18812, plain, 871.40/112.67 (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c8)) 871.40/112.67 <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c8)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl10807])). 871.40/112.67 thf(zip_derived_cl4, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.67 thf(zip_derived_cl18815, plain, 871.40/112.67 ((((s @ (s @ c5)) = (c8))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c8)))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl18812, zip_derived_cl4])). 871.40/112.67 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 871.40/112.67 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 871.40/112.67 thf(zip_derived_cl19416, plain, 871.40/112.67 ((((s @ c8) = (c8))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c8)))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl18815, zip_derived_cl32])). 871.40/112.67 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl19558, plain, 871.40/112.67 ((((c1) = (c8))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c8)))), 871.40/112.67 inference('demod', [status(thm)], [zip_derived_cl19416, zip_derived_cl14])). 871.40/112.67 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl19719, plain, 871.40/112.67 ((((c1) = (s @ c1))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c8)))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl19558, zip_derived_cl14])). 871.40/112.67 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl19757, plain, 871.40/112.67 ((((c1) = (c2))) <= (( (zip_tseitin_1 @ (s @ (s @ c5)) @ c8)))), 871.40/112.67 inference('demod', [status(thm)], [zip_derived_cl19719, zip_derived_cl15])). 871.40/112.67 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.67 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.67 thf('349', plain, (~ ( (zip_tseitin_1 @ (s @ (s @ c5)) @ c8))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl19757, zip_derived_cl6754])). 871.40/112.67 thf('350', plain, 871.40/112.67 (~ (((g @ c8 @ (s @ (s @ c5))) = (c5))) | 871.40/112.67 ( (zip_tseitin_1 @ (s @ (s @ c5)) @ c8)) | 871.40/112.67 ( (zip_tseitin_0 @ (s @ (s @ c5)) @ c8))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl10807])). 871.40/112.67 thf(zip_derived_cl10909, plain, 871.40/112.67 ((((g @ c8 @ (s @ c5)) = (c3))) <= ((((g @ c8 @ (s @ c5)) = (c3))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl5455])). 871.40/112.67 thf(zip_derived_cl304, plain, 871.40/112.67 (![X0 : $i]: 871.40/112.67 (((g @ c8 @ (s @ X0)) = (c4)) 871.40/112.67 | ((g @ c8 @ X0) = (c4)) 871.40/112.67 | ((g @ c8 @ X0) = (c5)) 871.40/112.67 | ((g @ c8 @ X0) = (c3)))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl267])). 871.40/112.67 thf(zip_derived_cl10913, plain, 871.40/112.67 (((((c3) = (c4)) 871.40/112.67 | ((g @ c8 @ c5) = (c3)) 871.40/112.67 | ((g @ c8 @ c5) = (c5)) 871.40/112.67 | ((g @ c8 @ c5) = (c4)))) <= ((((g @ c8 @ (s @ c5)) = (c3))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl10909, zip_derived_cl304])). 871.40/112.67 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.67 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.67 thf(zip_derived_cl10935, plain, 871.40/112.67 (((((g @ c8 @ c5) = (c3)) 871.40/112.67 | ((g @ c8 @ c5) = (c5)) 871.40/112.67 | ((g @ c8 @ c5) = (c4)))) <= ((((g @ c8 @ (s @ c5)) = (c3))))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl10913, zip_derived_cl3704])). 871.40/112.67 thf('351', plain, 871.40/112.67 (~ (((g @ c8 @ (s @ c5)) = (c3))) | (((g @ c8 @ c5) = (c3))) | 871.40/112.67 (((g @ c8 @ c5) = (c4))) | (((g @ c8 @ c5) = (c5)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl10935])). 871.40/112.67 thf('352', plain, 871.40/112.67 ((((g @ c8 @ c5) = (c3))) | ~ (((g @ c8 @ (s @ (s @ c5))) = (c4))) | 871.40/112.67 (((g @ c8 @ c5) = (c5))) | (((g @ c8 @ c5) = (c4)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl9718])). 871.40/112.67 thf(zip_derived_cl5367, plain, 871.40/112.67 ((((g @ c8 @ (s @ c5)) = (c2))) <= ((((g @ c8 @ (s @ (s @ c5))) = (c4))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl5352])). 871.40/112.67 thf(zip_derived_cl304, plain, 871.40/112.67 (![X0 : $i]: 871.40/112.67 (((g @ c8 @ (s @ X0)) = (c4)) 871.40/112.67 | ((g @ c8 @ X0) = (c4)) 871.40/112.67 | ((g @ c8 @ X0) = (c5)) 871.40/112.67 | ((g @ c8 @ X0) = (c3)))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl267])). 871.40/112.67 thf(zip_derived_cl9709, plain, 871.40/112.67 (((((c2) = (c4)) 871.40/112.67 | ((g @ c8 @ c5) = (c3)) 871.40/112.67 | ((g @ c8 @ c5) = (c5)) 871.40/112.67 | ((g @ c8 @ c5) = (c4)))) <= ((((g @ c8 @ (s @ (s @ c5))) = (c4))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl5367, zip_derived_cl304])). 871.40/112.67 thf(zip_derived_cl1663, plain, (((c2) != (c4))), 871.40/112.67 inference('simpl_trail', [status(thm)], [zip_derived_cl326, '11'])). 871.40/112.67 thf(zip_derived_cl9725, plain, 871.40/112.67 (((((g @ c8 @ c5) = (c3)) 871.40/112.67 | ((g @ c8 @ c5) = (c5)) 871.40/112.67 | ((g @ c8 @ c5) = (c4)))) <= ((((g @ c8 @ (s @ (s @ c5))) = (c4))))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl9709, zip_derived_cl1663])). 871.40/112.67 thf(zip_derived_cl17451, plain, 871.40/112.67 ((((g @ c8 @ c5) = (c5))) <= ((((g @ c8 @ c5) = (c5))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl9725])). 871.40/112.67 thf(zip_derived_cl25, plain, 871.40/112.67 (![X11 : $i, X13 : $i]: 871.40/112.67 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl17460, plain, 871.40/112.67 (((((c5) != (c5)) | (zip_tseitin_2 @ c5 @ c8))) 871.40/112.67 <= ((((g @ c8 @ c5) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl17451, zip_derived_cl25])). 871.40/112.67 thf(zip_derived_cl17483, plain, 871.40/112.67 (( (zip_tseitin_2 @ c5 @ c8)) <= ((((g @ c8 @ c5) = (c5))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl17460])). 871.40/112.67 thf(zip_derived_cl6, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.67 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.67 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.67 thf(zip_derived_cl17502, plain, 871.40/112.67 ((( (zip_tseitin_1 @ c5 @ c8) | (zip_tseitin_0 @ c5 @ c8))) 871.40/112.67 <= ((((g @ c8 @ c5) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl17483, zip_derived_cl6])). 871.40/112.67 thf(zip_derived_cl26143, plain, 871.40/112.67 (( (zip_tseitin_0 @ c5 @ c8)) <= (( (zip_tseitin_0 @ c5 @ c8)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl17502])). 871.40/112.67 thf(zip_derived_cl0, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.67 thf(zip_derived_cl26147, plain, 871.40/112.67 ((((c5) = (c1))) <= (( (zip_tseitin_0 @ c5 @ c8)))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl26143, zip_derived_cl0])). 871.40/112.67 thf(zip_derived_cl51, plain, (((c5) != (c1))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl35, zip_derived_cl19, zip_derived_cl18, 871.40/112.67 zip_derived_cl17])). 871.40/112.67 thf('353', plain, (~ ( (zip_tseitin_0 @ c5 @ c8))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl26147, zip_derived_cl51])). 871.40/112.67 thf(zip_derived_cl17483, plain, 871.40/112.67 (( (zip_tseitin_2 @ c5 @ c8)) <= ((((g @ c8 @ c5) = (c5))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl17460])). 871.40/112.67 thf(zip_derived_cl6, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.67 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.67 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.67 thf(zip_derived_cl17504, plain, 871.40/112.67 ((( (zip_tseitin_1 @ c5 @ c8) | (zip_tseitin_0 @ c5 @ c8))) 871.40/112.67 <= ((((g @ c8 @ c5) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl17483, zip_derived_cl6])). 871.40/112.67 thf(zip_derived_cl26154, plain, 871.40/112.67 (( (zip_tseitin_1 @ c5 @ c8)) <= (( (zip_tseitin_1 @ c5 @ c8)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl17504])). 871.40/112.67 thf(zip_derived_cl4, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.67 thf(zip_derived_cl26156, plain, 871.40/112.67 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ c5 @ c8)))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl26154, zip_derived_cl4])). 871.40/112.67 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl26223, plain, 871.40/112.67 ((((c1) = (s @ c5))) <= (( (zip_tseitin_1 @ c5 @ c8)))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl26156, zip_derived_cl14])). 871.40/112.67 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 871.40/112.67 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 871.40/112.67 thf(zip_derived_cl26393, plain, 871.40/112.67 ((((s @ (s @ c1)) = (c8))) <= (( (zip_tseitin_1 @ c5 @ c8)))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl26223, zip_derived_cl32])). 871.40/112.67 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl26156, plain, 871.40/112.67 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ c5 @ c8)))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl26154, zip_derived_cl4])). 871.40/112.67 thf(zip_derived_cl26554, plain, 871.40/112.67 ((((c3) = (c5))) <= (( (zip_tseitin_1 @ c5 @ c8)))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl26393, zip_derived_cl15, zip_derived_cl19, 871.40/112.67 zip_derived_cl26156])). 871.40/112.67 thf(zip_derived_cl186, plain, (((c5) != (c3))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl22])). 871.40/112.67 thf('354', plain, (~ ( (zip_tseitin_1 @ c5 @ c8))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl26554, zip_derived_cl186])). 871.40/112.67 thf('355', plain, 871.40/112.67 (~ (((g @ c8 @ c5) = (c5))) | ( (zip_tseitin_1 @ c5 @ c8)) | 871.40/112.67 ( (zip_tseitin_0 @ c5 @ c8))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl17502])). 871.40/112.67 thf(zip_derived_cl17436, plain, 871.40/112.67 ((((g @ (s @ (s @ c5)) @ c5) = (c1))) <= ((((g @ c8 @ c5) = (c3))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl17416])). 871.40/112.67 thf(zip_derived_cl165, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 (((g @ (s @ X1) @ X0) = (c3)) 871.40/112.67 | ((g @ X1 @ X0) = (c2)) 871.40/112.67 | ((g @ X1 @ X0) = (c4)) 871.40/112.67 | ((g @ X1 @ X0) = (c5)) 871.40/112.67 | ((g @ X1 @ X0) = (c3)))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl136])). 871.40/112.67 thf(zip_derived_cl26093, plain, 871.40/112.67 (((((c1) = (c3)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c3)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c5)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c4)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c2)))) <= ((((g @ c8 @ c5) = (c3))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl17436, zip_derived_cl165])). 871.40/112.67 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.67 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.67 thf(zip_derived_cl26120, plain, 871.40/112.67 (((((g @ (s @ c5) @ c5) = (c3)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c5)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c4)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c2)))) <= ((((g @ c8 @ c5) = (c3))))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl26093, zip_derived_cl4494])). 871.40/112.67 thf('356', plain, 871.40/112.67 ((((g @ (s @ c5) @ c5) = (c5))) | (((g @ (s @ c5) @ c5) = (c3))) | 871.40/112.67 (((g @ (s @ c5) @ c5) = (c4))) | (((g @ (s @ c5) @ c5) = (c2))) | 871.40/112.67 ~ (((g @ c8 @ c5) = (c3)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl26120])). 871.40/112.67 thf(zip_derived_cl3178, plain, 871.40/112.67 ((((g @ (s @ (s @ c5)) @ c5) = (c4))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl907])). 871.40/112.67 thf(zip_derived_cl165, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 (((g @ (s @ X1) @ X0) = (c3)) 871.40/112.67 | ((g @ X1 @ X0) = (c2)) 871.40/112.67 | ((g @ X1 @ X0) = (c4)) 871.40/112.67 | ((g @ X1 @ X0) = (c5)) 871.40/112.67 | ((g @ X1 @ X0) = (c3)))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl136])). 871.40/112.67 thf(zip_derived_cl3191, plain, 871.40/112.67 (((((c4) = (c3)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c3)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c5)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c4)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c2)))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl3178, zip_derived_cl165])). 871.40/112.67 thf(zip_derived_cl3704, plain, (((c4) != (c3))), 871.40/112.67 inference('simpl_trail', [status(thm)], [zip_derived_cl3703, '1'])). 871.40/112.67 thf(zip_derived_cl8479, plain, 871.40/112.67 (((((g @ (s @ c5) @ c5) = (c3)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c5)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c4)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c2)))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ c5) = (c4))))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl3191, zip_derived_cl3704])). 871.40/112.67 thf(zip_derived_cl8483, plain, 871.40/112.67 ((((g @ (s @ c5) @ c5) = (c5))) <= ((((g @ (s @ c5) @ c5) = (c5))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl8479])). 871.40/112.67 thf(zip_derived_cl25, plain, 871.40/112.67 (![X11 : $i, X13 : $i]: 871.40/112.67 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl8491, plain, 871.40/112.67 (((((c5) != (c5)) | (zip_tseitin_2 @ c5 @ (s @ c5)))) 871.40/112.67 <= ((((g @ (s @ c5) @ c5) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl8483, zip_derived_cl25])). 871.40/112.67 thf(zip_derived_cl8512, plain, 871.40/112.67 (( (zip_tseitin_2 @ c5 @ (s @ c5))) <= ((((g @ (s @ c5) @ c5) = (c5))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl8491])). 871.40/112.67 thf(zip_derived_cl6, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.67 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.67 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.67 thf(zip_derived_cl9275, plain, 871.40/112.67 ((( (zip_tseitin_1 @ c5 @ (s @ c5)) | (zip_tseitin_0 @ c5 @ (s @ c5)))) 871.40/112.67 <= ((((g @ (s @ c5) @ c5) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl8512, zip_derived_cl6])). 871.40/112.67 thf(zip_derived_cl16851, plain, 871.40/112.67 (( (zip_tseitin_0 @ c5 @ (s @ c5))) 871.40/112.67 <= (( (zip_tseitin_0 @ c5 @ (s @ c5))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl9275])). 871.40/112.67 thf(zip_derived_cl0, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.67 thf(zip_derived_cl16854, plain, 871.40/112.67 ((((c5) = (c1))) <= (( (zip_tseitin_0 @ c5 @ (s @ c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl16851, zip_derived_cl0])). 871.40/112.67 thf(zip_derived_cl51, plain, (((c5) != (c1))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl35, zip_derived_cl19, zip_derived_cl18, 871.40/112.67 zip_derived_cl17])). 871.40/112.67 thf('357', plain, (~ ( (zip_tseitin_0 @ c5 @ (s @ c5)))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl16854, zip_derived_cl51])). 871.40/112.67 thf(zip_derived_cl8512, plain, 871.40/112.67 (( (zip_tseitin_2 @ c5 @ (s @ c5))) <= ((((g @ (s @ c5) @ c5) = (c5))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl8491])). 871.40/112.67 thf(zip_derived_cl6, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.67 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.67 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.67 thf(zip_derived_cl9273, plain, 871.40/112.67 ((( (zip_tseitin_1 @ c5 @ (s @ c5)) | (zip_tseitin_0 @ c5 @ (s @ c5)))) 871.40/112.67 <= ((((g @ (s @ c5) @ c5) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl8512, zip_derived_cl6])). 871.40/112.67 thf(zip_derived_cl16842, plain, 871.40/112.67 (( (zip_tseitin_1 @ c5 @ (s @ c5))) 871.40/112.67 <= (( (zip_tseitin_1 @ c5 @ (s @ c5))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl9273])). 871.40/112.67 thf(zip_derived_cl4, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.67 thf(zip_derived_cl16845, plain, 871.40/112.67 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ c5 @ (s @ c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl16842, zip_derived_cl4])). 871.40/112.67 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl16924, plain, 871.40/112.67 ((((c1) = (s @ c5))) <= (( (zip_tseitin_1 @ c5 @ (s @ c5))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl16845, zip_derived_cl14])). 871.40/112.67 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 871.40/112.67 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 871.40/112.67 thf(zip_derived_cl17056, plain, 871.40/112.67 ((((s @ (s @ c1)) = (c8))) <= (( (zip_tseitin_1 @ c5 @ (s @ c5))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl16924, zip_derived_cl32])). 871.40/112.67 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl16845, plain, 871.40/112.67 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ c5 @ (s @ c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl16842, zip_derived_cl4])). 871.40/112.67 thf(zip_derived_cl17176, plain, 871.40/112.67 ((((c3) = (c5))) <= (( (zip_tseitin_1 @ c5 @ (s @ c5))))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl17056, zip_derived_cl15, zip_derived_cl19, 871.40/112.67 zip_derived_cl16845])). 871.40/112.67 thf(zip_derived_cl186, plain, (((c5) != (c3))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl22])). 871.40/112.67 thf('358', plain, (~ ( (zip_tseitin_1 @ c5 @ (s @ c5)))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl17176, zip_derived_cl186])). 871.40/112.67 thf('359', plain, 871.40/112.67 (~ (((g @ (s @ c5) @ c5) = (c5))) | ( (zip_tseitin_1 @ c5 @ (s @ c5))) | 871.40/112.67 ( (zip_tseitin_0 @ c5 @ (s @ c5)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl9273])). 871.40/112.67 thf(zip_derived_cl4766, plain, 871.40/112.67 ((((g @ (s @ (s @ c5)) @ c5) = (c2))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl4750])). 871.40/112.67 thf(zip_derived_cl165, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 (((g @ (s @ X1) @ X0) = (c3)) 871.40/112.67 | ((g @ X1 @ X0) = (c2)) 871.40/112.67 | ((g @ X1 @ X0) = (c4)) 871.40/112.67 | ((g @ X1 @ X0) = (c5)) 871.40/112.67 | ((g @ X1 @ X0) = (c3)))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl136])). 871.40/112.67 thf(zip_derived_cl10444, plain, 871.40/112.67 (((((c2) = (c3)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c3)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c5)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c4)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c2)))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl4766, zip_derived_cl165])). 871.40/112.67 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.67 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.67 thf(zip_derived_cl10462, plain, 871.40/112.67 (((((g @ (s @ c5) @ c5) = (c3)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c5)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c4)) 871.40/112.67 | ((g @ (s @ c5) @ c5) = (c2)))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl10444, zip_derived_cl5803])). 871.40/112.67 thf('360', plain, 871.40/112.67 ((((g @ (s @ c5) @ c5) = (c5))) | (((g @ (s @ c5) @ c5) = (c3))) | 871.40/112.67 (((g @ (s @ c5) @ c5) = (c4))) | (((g @ (s @ c5) @ c5) = (c2))) | 871.40/112.67 ~ (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl10462])). 871.40/112.67 thf('361', plain, 871.40/112.67 (~ (((g @ (s @ c5) @ c5) = (c2))) | (((g @ c5 @ (s @ c5)) = (c3))) | 871.40/112.67 (((g @ c5 @ (s @ c5)) = (c5))) | (((g @ c5 @ (s @ c5)) = (c4))) | 871.40/112.67 (((g @ c5 @ (s @ c5)) = (c2)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl10351])). 871.40/112.67 thf('362', plain, 871.40/112.67 ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c4))) | 871.40/112.67 ~ (((g @ c8 @ (s @ (s @ c5))) = (c3))) | 871.40/112.67 (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c5))) | 871.40/112.67 (((g @ c8 @ (s @ c5)) = (c3))) | 871.40/112.67 (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl10967])). 871.40/112.67 thf(zip_derived_cl10407, plain, 871.40/112.67 ((((g @ (s @ c5) @ (s @ c5)) = (c2))) 871.40/112.67 <= ((((g @ (s @ c5) @ (s @ c5)) = (c2))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl4765])). 871.40/112.67 thf(zip_derived_cl165, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 (((g @ (s @ X1) @ X0) = (c3)) 871.40/112.67 | ((g @ X1 @ X0) = (c2)) 871.40/112.67 | ((g @ X1 @ X0) = (c4)) 871.40/112.67 | ((g @ X1 @ X0) = (c5)) 871.40/112.67 | ((g @ X1 @ X0) = (c3)))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl136])). 871.40/112.67 thf(zip_derived_cl10420, plain, 871.40/112.67 (((((c2) = (c3)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c3)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c5)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c4)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c2)))) 871.40/112.67 <= ((((g @ (s @ c5) @ (s @ c5)) = (c2))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl10407, zip_derived_cl165])). 871.40/112.67 thf(zip_derived_cl5803, plain, (((c3) != (c2))), 871.40/112.67 inference('simpl_trail', [status(thm)], [zip_derived_cl5802, '3'])). 871.40/112.67 thf(zip_derived_cl10433, plain, 871.40/112.67 (((((g @ c5 @ (s @ c5)) = (c3)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c5)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c4)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c2)))) 871.40/112.67 <= ((((g @ (s @ c5) @ (s @ c5)) = (c2))))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl10420, zip_derived_cl5803])). 871.40/112.67 thf(zip_derived_cl18620, plain, 871.40/112.67 ((((g @ c5 @ (s @ c5)) = (c5))) <= ((((g @ c5 @ (s @ c5)) = (c5))))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl10433])). 871.40/112.67 thf(zip_derived_cl25, plain, 871.40/112.67 (![X11 : $i, X13 : $i]: 871.40/112.67 ( (zip_tseitin_2 @ X13 @ X11) | ((g @ X11 @ X13) != (c5)))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl18628, plain, 871.40/112.67 (((((c5) != (c5)) | (zip_tseitin_2 @ (s @ c5) @ c5))) 871.40/112.67 <= ((((g @ c5 @ (s @ c5)) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl18620, zip_derived_cl25])). 871.40/112.67 thf(zip_derived_cl18648, plain, 871.40/112.67 (( (zip_tseitin_2 @ (s @ c5) @ c5)) <= ((((g @ c5 @ (s @ c5)) = (c5))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl18628])). 871.40/112.67 thf(zip_derived_cl6, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.67 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.67 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.67 thf(zip_derived_cl28124, plain, 871.40/112.67 ((( (zip_tseitin_1 @ (s @ c5) @ c5) | (zip_tseitin_0 @ (s @ c5) @ c5))) 871.40/112.67 <= ((((g @ c5 @ (s @ c5)) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl18648, zip_derived_cl6])). 871.40/112.67 thf(zip_derived_cl32033, plain, 871.40/112.67 (( (zip_tseitin_0 @ (s @ c5) @ c5)) 871.40/112.67 <= (( (zip_tseitin_0 @ (s @ c5) @ c5)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl28124])). 871.40/112.67 thf(zip_derived_cl1, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: (((X0) = (c1)) | ~ (zip_tseitin_0 @ X1 @ X0))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_5])). 871.40/112.67 thf(zip_derived_cl32034, plain, 871.40/112.67 ((((c5) = (c1))) <= (( (zip_tseitin_0 @ (s @ c5) @ c5)))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl32033, zip_derived_cl1])). 871.40/112.67 thf(zip_derived_cl51, plain, (((c5) != (c1))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl35, zip_derived_cl19, zip_derived_cl18, 871.40/112.67 zip_derived_cl17])). 871.40/112.67 thf('363', plain, (~ ( (zip_tseitin_0 @ (s @ c5) @ c5))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl32034, zip_derived_cl51])). 871.40/112.67 thf(zip_derived_cl18648, plain, 871.40/112.67 (( (zip_tseitin_2 @ (s @ c5) @ c5)) <= ((((g @ c5 @ (s @ c5)) = (c5))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl18628])). 871.40/112.67 thf(zip_derived_cl6, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 ( (zip_tseitin_0 @ X0 @ X1) 871.40/112.67 | (zip_tseitin_1 @ X0 @ X1) 871.40/112.67 | ~ (zip_tseitin_2 @ X0 @ X1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_1])). 871.40/112.67 thf(zip_derived_cl28122, plain, 871.40/112.67 ((( (zip_tseitin_1 @ (s @ c5) @ c5) | (zip_tseitin_0 @ (s @ c5) @ c5))) 871.40/112.67 <= ((((g @ c5 @ (s @ c5)) = (c5))))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl18648, zip_derived_cl6])). 871.40/112.67 thf(zip_derived_cl32024, plain, 871.40/112.67 (( (zip_tseitin_1 @ (s @ c5) @ c5)) 871.40/112.67 <= (( (zip_tseitin_1 @ (s @ c5) @ c5)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl28122])). 871.40/112.67 thf(zip_derived_cl3, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: (((X0) = (c8)) | ~ (zip_tseitin_1 @ X1 @ X0))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_3])). 871.40/112.67 thf(zip_derived_cl32028, plain, 871.40/112.67 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ c5)))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl32024, zip_derived_cl3])). 871.40/112.67 thf(zip_derived_cl14, plain, (((c1) = (s @ c8))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl32102, plain, 871.40/112.67 ((((c1) = (s @ c5))) <= (( (zip_tseitin_1 @ (s @ c5) @ c5)))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl32028, zip_derived_cl14])). 871.40/112.67 thf(zip_derived_cl32, plain, (((s @ (s @ (s @ c5))) = (c8))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl9, zip_derived_cl14, zip_derived_cl15, 871.40/112.67 zip_derived_cl19, zip_derived_cl18, zip_derived_cl17])). 871.40/112.67 thf(zip_derived_cl32435, plain, 871.40/112.67 ((((s @ (s @ c1)) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ c5)))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl32102, zip_derived_cl32])). 871.40/112.67 thf(zip_derived_cl15, plain, (((c2) = (s @ c1))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl19, plain, (((c3) = (s @ c2))), 871.40/112.67 inference('cnf', [status(esa)], [zf_stmt_7])). 871.40/112.67 thf(zip_derived_cl32028, plain, 871.40/112.67 ((((c5) = (c8))) <= (( (zip_tseitin_1 @ (s @ c5) @ c5)))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl32024, zip_derived_cl3])). 871.40/112.67 thf(zip_derived_cl32845, plain, 871.40/112.67 ((((c3) = (c5))) <= (( (zip_tseitin_1 @ (s @ c5) @ c5)))), 871.40/112.67 inference('demod', [status(thm)], 871.40/112.67 [zip_derived_cl32435, zip_derived_cl15, zip_derived_cl19, 871.40/112.67 zip_derived_cl32028])). 871.40/112.67 thf(zip_derived_cl186, plain, (((c5) != (c3))), 871.40/112.67 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl22])). 871.40/112.67 thf('364', plain, (~ ( (zip_tseitin_1 @ (s @ c5) @ c5))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl32845, zip_derived_cl186])). 871.40/112.67 thf('365', plain, 871.40/112.67 (~ (((g @ c5 @ (s @ c5)) = (c5))) | ( (zip_tseitin_1 @ (s @ c5) @ c5)) | 871.40/112.67 ( (zip_tseitin_0 @ (s @ c5) @ c5))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl28122])). 871.40/112.67 thf(zip_derived_cl19168, plain, 871.40/112.67 ((((g @ (s @ c5) @ (s @ c5)) = (c1))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl19148])). 871.40/112.67 thf(zip_derived_cl165, plain, 871.40/112.67 (![X0 : $i, X1 : $i]: 871.40/112.67 (((g @ (s @ X1) @ X0) = (c3)) 871.40/112.67 | ((g @ X1 @ X0) = (c2)) 871.40/112.67 | ((g @ X1 @ X0) = (c4)) 871.40/112.67 | ((g @ X1 @ X0) = (c5)) 871.40/112.67 | ((g @ X1 @ X0) = (c3)))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl136])). 871.40/112.67 thf(zip_derived_cl28230, plain, 871.40/112.67 (((((c1) = (c3)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c3)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c5)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c4)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c2)))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))))), 871.40/112.67 inference('sup+', [status(thm)], [zip_derived_cl19168, zip_derived_cl165])). 871.40/112.67 thf(zip_derived_cl4494, plain, (((c1) != (c3))), 871.40/112.67 inference('simpl_trail', [status(thm)], [zip_derived_cl4493, '13'])). 871.40/112.67 thf(zip_derived_cl28250, plain, 871.40/112.67 (((((g @ c5 @ (s @ c5)) = (c3)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c5)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c4)) 871.40/112.67 | ((g @ c5 @ (s @ c5)) = (c2)))) 871.40/112.67 <= ((((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3))))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl28230, zip_derived_cl4494])). 871.40/112.67 thf('366', plain, 871.40/112.67 ((((g @ c5 @ (s @ c5)) = (c5))) | (((g @ c5 @ (s @ c5)) = (c3))) | 871.40/112.67 (((g @ c5 @ (s @ c5)) = (c4))) | (((g @ c5 @ (s @ c5)) = (c2))) | 871.40/112.67 ~ (((g @ (s @ (s @ c5)) @ (s @ c5)) = (c3)))), 871.40/112.67 inference('split', [status(esa)], [zip_derived_cl28250])). 871.40/112.67 thf(zip_derived_cl11594, plain, 871.40/112.67 ((((g @ (s @ c5) @ c4) = (c1))) <= ((((g @ (s @ (s @ c5)) @ c4) = (c3))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl11570])). 871.40/112.67 thf(zip_derived_cl4800, plain, 871.40/112.67 ((((g @ (s @ c5) @ c4) = (c2))) <= ((((g @ (s @ c5) @ c5) = (c4))))), 871.40/112.67 inference('simplify', [status(thm)], [zip_derived_cl4785])). 871.40/112.67 thf(zip_derived_cl22478, plain, 871.40/112.67 ((((c1) = (c2))) 871.40/112.67 <= ((((g @ (s @ c5) @ c5) = (c4))) & 871.40/112.67 (((g @ (s @ (s @ c5)) @ c4) = (c3))))), 871.40/112.67 inference('sup+', [status(thm)], 871.40/112.67 [zip_derived_cl11594, zip_derived_cl4800])). 871.40/112.67 thf(zip_derived_cl6754, plain, (((c2) != (c1))), 871.40/112.67 inference('simpl_trail', [status(thm)], [zip_derived_cl6753, '5'])). 871.40/112.67 thf('367', plain, 871.40/112.67 (~ (((g @ (s @ (s @ c5)) @ c4) = (c3))) | 871.40/112.67 ~ (((g @ (s @ c5) @ c5) = (c4)))), 871.40/112.67 inference('simplify_reflect-', [status(thm)], 871.40/112.67 [zip_derived_cl22478, zip_derived_cl6754])). 871.40/112.67 thf(zip_derived_cl40718, plain, ($false), 871.40/112.67 inference('sat_resolution*', [status(thm)], 871.40/112.67 ['6', '9', '14', '15', '16', '17', '18', '19', '20', '21', 871.40/112.67 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31', 871.40/112.67 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41', 871.40/112.67 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51', 871.40/112.67 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61', 871.40/112.67 '62', '63', '64', '65', '66', '67', '68', '69', '70', '71', 871.40/112.67 '72', '73', '74', '75', '76', '77', '78', '79', '80', '81', 871.40/112.67 '82', '83', '84', '85', '86', '87', '88', '89', '90', '91', 871.40/112.67 '92', '93', '94', '95', '0', '96', '97', '98', '99', '100', 871.40/112.67 '101', '102', '103', '104', '105', '106', '107', '108', 871.40/112.67 '109', '110', '111', '112', '113', '114', '115', '116', 871.40/112.67 '117', '118', '119', '120', '121', '122', '123', '124', 871.40/112.67 '125', '126', '127', '128', '129', '130', '131', '132', 871.40/112.67 '133', '134', '135', '136', '137', '138', '139', '140', 871.40/112.67 '141', '142', '143', '144', '145', '146', '147', '148', 871.40/112.67 '149', '150', '151', '152', '153', '154', '155', '156', 871.40/112.67 '157', '158', '159', '160', '161', '162', '163', '164', 871.40/112.67 '165', '166', '167', '168', '169', '170', '171', '172', 871.40/112.67 '173', '174', '175', '176', '177', '178', '179', '180', 871.40/112.67 '181', '182', '183', '184', '185', '186', '187', '188', 871.40/112.67 '189', '190', '191', '192', '193', '194', '195', '2', '196', 871.40/112.67 '197', '198', '199', '200', '201', '202', '203', '204', 871.40/112.67 '205', '206', '207', '208', '209', '210', '211', '212', 871.40/112.67 '213', '214', '215', '216', '217', '218', '219', '220', 871.40/112.67 '221', '222', '223', '224', '225', '226', '227', '228', 871.40/112.67 '229', '230', '231', '232', '233', '234', '235', '236', 871.40/112.67 '237', '238', '239', '240', '241', '242', '243', '244', 871.40/112.67 '245', '246', '247', '248', '249', '250', '251', '252', 871.40/112.67 '253', '254', '255', '256', '257', '258', '259', '260', 871.40/112.67 '261', '262', '263', '264', '265', '266', '267', '268', 871.40/112.67 '269', '270', '271', '272', '273', '274', '275', '276', 871.40/112.67 '277', '278', '279', '280', '281', '282', '283', '284', 871.40/112.67 '285', '286', '287', '288', '289', '290', '291', '292', 871.40/112.67 '293', '294', '295', '296', '297', '298', '299', '300', 871.40/112.67 '301', '302', '303', '304', '305', '306', '307', '308', 871.40/112.67 '309', '310', '311', '312', '313', '314', '315', '316', 871.40/112.67 '317', '318', '319', '320', '321', '322', '323', '324', 871.40/112.67 '325', '326', '327', '328', '329', '330', '331', '332', 871.40/112.67 '333', '334', '335', '336', '10', '337', '338', '339', '340', 871.40/112.67 '341', '342', '343', '344', '345', '346', '347', '348', 871.40/112.67 '349', '350', '351', '352', '353', '354', '355', '356', 871.40/112.67 '357', '358', '359', '360', '361', '362', '363', '364', 871.40/112.67 '365', '366', '367'])). 871.40/112.67 871.40/112.67 % SZS output end Refutation 871.40/112.67 871.40/112.67 871.40/112.67 % Terminating... 871.43/112.78 % Runner terminated. 871.43/112.78 % Zipperpin 1.5 exiting 871.43/112.79 EOF