0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.17/0.18 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uKUE5y2JOf true 0.17/0.39 % Computer : n015.cluster.edu 0.17/0.39 % Model : x86_64 x86_64 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.39 % Memory : 8042.1875MB 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.39 % CPULimit : 960 0.17/0.39 % WCLimit : 120 0.17/0.39 % DateTime : Tue Aug 9 07:48:56 EDT 2022 0.17/0.39 % CPUTime : 0.17/0.39 % Running portfolio for 960 s 0.17/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.24/0.39 % Number of cores: 8 0.24/0.40 % Python version: Python 3.6.8 0.24/0.40 % Running in HO mode 0.38/0.71 % Total configuration time : 828 0.38/0.71 % Estimated wc time : 1656 0.38/0.71 % Estimated cpu time (8 cpus) : 207.0 0.38/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.39/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.39/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.39/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.39/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.39/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.39/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.39/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.39/1.05 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 96.06/12.80 % Solved by lams/40_b.comb.sh. 96.06/12.80 % done 257 iterations in 11.972s 96.06/12.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 96.06/12.80 % SZS output start Refutation 96.06/12.80 thf('#ty_enc12_type', type, '#ty_enc12': ($i > ($i > $o) > $i > $o > $o) > 96.06/12.80 ($i > $o) > $i > $i > $o > $o). 96.06/12.80 thf(rt_is_type, type, rt_is: $i > $i > $o). 96.06/12.80 thf(orec3_type, type, orec3: $o > $o > $o > $o). 96.06/12.80 thf(inf_type, type, inf: $i > $i > $o). 96.06/12.80 thf('#ty_enc9_type', type, '#ty_enc9': (($i > $o) > $o) > ($i > $i > $o) > $i > $o). 96.06/12.80 thf(moref_type, type, moref: $i > $i > $o). 96.06/12.80 thf(ec3_type, type, ec3: $o > $o > $o > $o). 96.06/12.80 thf(l_ec_type, type, l_ec: $o > $o > $o). 96.06/12.80 thf(d_not_type, type, d_not: $o > $o). 96.06/12.80 thf(is_of_type, type, is_of: $i > ($i > $o) > $o). 96.06/12.80 thf(in_type, type, in: $i > $i > $o). 96.06/12.80 thf('#ty_enc11_type', type, '#ty_enc11': (($i > $o > $o) > ($i > $o) > $i > $o) > 96.06/12.80 ($i > $i > $o > $o) > $i > 96.06/12.80 ($i > $o) > $i > $o). 96.06/12.80 thf(power_type, type, power: $i > $i). 96.06/12.80 thf('#ty_enc15_type', type, '#ty_enc15': ($o > $o > $o) > ($i > $o) > $i > $o > $o). 96.06/12.80 thf(and3_type, type, and3: $o > $o > $o > $o). 96.06/12.80 thf(rt_more_type, type, rt_more: $i > $i > $o). 96.06/12.80 thf(e_is_type, type, e_is: $i > $i > $i > $o). 96.06/12.80 thf(e_in_type, type, e_in: $i > ($i > $o) > $i > $i). 96.06/12.80 thf(l_or_type, type, l_or: $o > $o > $o). 96.06/12.80 thf(d_Sep_type, type, d_Sep: $i > ($i > $o) > $i). 96.06/12.80 thf(rt_moreis_type, type, rt_moreis: $i > $i > $o). 96.06/12.80 thf(rat_type, type, rat: $i). 96.06/12.80 thf(lessf_type, type, lessf: $i > $i > $o). 96.06/12.80 thf('#ty_enc10_type', type, '#ty_enc10': ($i > ($i > $o) > $i > $o) > 96.06/12.80 ($i > $i > $o) > $i > $i > $o). 96.06/12.80 thf(l_some_type, type, l_some: $i > ($i > $o) > $o). 96.06/12.80 thf(frac_type, type, frac: $i). 96.06/12.80 thf(d_and_type, type, d_and: $o > $o > $o). 96.06/12.80 thf(imp_type, type, imp: $o > $o > $o). 96.06/12.80 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o). 96.06/12.80 thf('#sk1_type', type, '#sk1': $i). 96.06/12.80 thf(rt_less_type, type, rt_less: $i > $i > $o). 96.06/12.80 thf(n_eq_type, type, n_eq: $i > $i > $o). 96.06/12.80 thf(class_type, type, class: $i > $i). 96.06/12.80 thf('#sk2_type', type, '#sk2': $i). 96.06/12.80 thf('#ty_enc16_type', type, '#ty_enc16': ($i > $o > $o) > ($i > $o) > $i > $o). 96.06/12.80 thf('#ty_enc8_type', type, '#ty_enc8': ($i > $i > $o) > $i > $i > $o). 96.06/12.80 thf('#ty_enc13_type', type, '#ty_enc13': (($o > $o > $o) > ($i > $o) > $i > 96.06/12.80 $o > $o) > 96.06/12.80 ($i > $o > $o > $o) > $i > 96.06/12.80 ($i > $o) > $i > $o > $o). 96.06/12.80 thf(anec_type, type, anec: $i > ($i > $i > $o) > $i > $o). 96.06/12.80 thf(or3_type, type, or3: $o > $o > $o > $o). 96.06/12.80 thf(ecect_type, type, ecect: $i > ($i > $i > $o) > $i > $i). 96.06/12.80 thf('#ty_enc14_type', type, '#ty_enc14': ($o > $o > $o > $o) > ($i > $o) > 96.06/12.80 $i > $o > $o > $o). 96.06/12.80 thf(ect_type, type, ect: $i > ($i > $i > $o) > $i). 96.06/12.80 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 96.06/12.80 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 96.06/12.80 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 96.06/12.80 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 96.06/12.80 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 96.06/12.80 thf(satz81f, conjecture, 96.06/12.80 (all_of @ 96.06/12.80 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @ 96.06/12.80 ( ^[X0:$i]: 96.06/12.80 ( all_of @ 96.06/12.80 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @ 96.06/12.80 ( ^[X1:$i]: 96.06/12.80 ( ( d_not @ ( rt_less @ X0 @ X1 ) ) => ( rt_moreis @ X0 @ X1 ) ) ) ) ))). 96.06/12.80 thf(zf_stmt_0, negated_conjecture, 96.06/12.80 (~( all_of @ 96.06/12.80 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @ 96.06/12.80 ( ^[X0:$i]: 96.06/12.80 ( all_of @ 96.06/12.80 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @ 96.06/12.80 ( ^[X1:$i]: 96.06/12.80 ( ( d_not @ ( rt_less @ X0 @ X1 ) ) => ( rt_moreis @ X0 @ X1 ) ) ) ) ) )), 96.06/12.80 inference('cnf.neg', [status(esa)], [satz81f])). 96.06/12.80 thf(zip_derived_cl501, plain, 96.06/12.80 (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @ 96.06/12.80 (^[Y0 : $i]: 96.06/12.80 (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @ 96.06/12.80 (^[Y1 : $i]: 96.06/12.80 (((d_not @ (rt_less @ Y0 @ Y1)) => (rt_moreis @ Y0 @ Y1)))))))), 96.06/12.80 inference('cnf', [status(esa)], [zf_stmt_0])). 96.06/12.80 thf(zip_derived_cl502, plain, 96.06/12.80 (~ (all_of @ ((('#C') @ in @ rat)) @ 96.06/12.80 ((('#B') @ (all_of @ ((('#C') @ in @ rat))) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#B') @ ((('#B') @ (=>))) @ 96.06/12.80 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @ 96.06/12.80 rt_moreis)))))), 96.06/12.80 inference('lams2combs', [status(thm)], [zip_derived_cl501])). 96.06/12.80 thf(def_ect, axiom,(( ect @ (X0)@ (X1)) = 96.06/12.80 ((d_Sep @ (power @ X0) @ (anec @ X0 @ X1))))). 96.06/12.80 thf('0', plain, 96.06/12.80 (![X1:( $i > $i > $o ),X0:$i]: 96.06/12.80 ( ( ect @ X0 @ X1 ) = ( d_Sep @ ( power @ X0 ) @ ( anec @ X0 @ X1 ) ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_rat, axiom,(( rat ) = ((ect @ frac @ n_eq)))). 96.06/12.80 thf('1', plain, (( rat ) = ( ect @ frac @ n_eq )), define([status(thm)])). 96.06/12.80 thf(zip_derived_cl637, plain, 96.06/12.80 (~ (all_of @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 96.06/12.80 ((('#B') @ (all_of @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#B') @ ((('#B') @ (=>))) @ 96.06/12.80 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @ 96.06/12.80 rt_moreis)))))), 96.06/12.80 inference('rw', [status(thm)], [zip_derived_cl502, '0', '1'])). 96.06/12.80 thf(def_all_of, axiom, ~ (all_of @ X0 @ X1) => 96.06/12.80 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) != ($true))). 96.06/12.80 thf('2', plain, 96.06/12.80 (![X0:( $i > $o ),X1:( $i > $o )]: 96.06/12.80 ( ( ~( all_of @ X0 @ X1 ) ) <=> 96.06/12.80 ( ~( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) ) )), 96.06/12.80 inference('rw.lit', [status(esa)], [def_all_of])). 96.06/12.80 thf(zip_derived_cl638, plain, 96.06/12.80 (~ (((!!) @ (^[Y0 : $i]: 96.06/12.80 (((is_of @ Y0 @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 96.06/12.80 ((('#B') @ (all_of @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ 96.06/12.80 (anec @ frac @ n_eq))))) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#B') @ ((('#B') @ (=>))) @ 96.06/12.80 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @ 96.06/12.80 rt_moreis)) @ 96.06/12.80 Y0)))))))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl637, '2'])). 96.06/12.80 thf(zip_derived_cl639, plain, 96.06/12.80 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 96.06/12.80 ((('#C') @ is_of @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ 96.06/12.80 (anec @ frac @ n_eq)))))))) @ 96.06/12.80 ((('#B') @ (all_of @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ 96.06/12.80 (anec @ frac @ n_eq))))) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#B') @ ((('#B') @ (=>))) @ 96.06/12.80 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @ 96.06/12.80 rt_moreis))))))))), 96.06/12.80 inference('comb-normalize', [status(thm)], [zip_derived_cl638])). 96.06/12.80 thf(zip_derived_cl640, plain, 96.06/12.80 (~ (((is_of @ '#sk1' @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 96.06/12.80 (all_of @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 96.06/12.80 ((('#S') @ ((('#B') @ (=>) @ ((('#B') @ d_not @ (rt_less @ '#sk1'))))) @ 96.06/12.80 (rt_moreis @ '#sk1'))))))), 96.06/12.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl639])). 96.06/12.80 thf(zip_derived_cl642, plain, 96.06/12.80 (~ (all_of @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 96.06/12.80 ((('#S') @ ((('#B') @ (=>) @ ((('#B') @ d_not @ (rt_less @ '#sk1'))))) @ 96.06/12.80 (rt_moreis @ '#sk1'))))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl640])). 96.06/12.80 thf(zip_derived_cl643, plain, 96.06/12.80 (~ (((!!) @ (^[Y0 : $i]: 96.06/12.80 (((is_of @ Y0 @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 96.06/12.80 ((('#S') @ ((('#B') @ (=>) @ 96.06/12.80 ((('#B') @ d_not @ (rt_less @ '#sk1'))))) @ 96.06/12.80 (rt_moreis @ '#sk1') @ Y0)))))))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl642, '2'])). 96.06/12.80 thf(zip_derived_cl644, plain, 96.06/12.80 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 96.06/12.80 ((('#C') @ is_of @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ 96.06/12.80 (anec @ frac @ n_eq)))))))) @ 96.06/12.80 ((('#S') @ ((('#B') @ (=>) @ 96.06/12.80 ((('#B') @ d_not @ (rt_less @ '#sk1'))))) @ 96.06/12.80 (rt_moreis @ '#sk1')))))))), 96.06/12.80 inference('comb-normalize', [status(thm)], [zip_derived_cl643])). 96.06/12.80 thf(zip_derived_cl645, plain, 96.06/12.80 (~ (((is_of @ '#sk2' @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 96.06/12.80 (((d_not @ (rt_less @ '#sk1' @ '#sk2')) => (rt_moreis @ '#sk1' @ 96.06/12.80 '#sk2')))))), 96.06/12.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl644])). 96.06/12.80 thf(def_d_not, axiom,(( d_not @ (X0)) = ((imp @ X0 @ ($false))))). 96.06/12.80 thf('3', plain, (![X0:$o]: ( ( d_not @ X0 ) = ( imp @ X0 @ $false ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_l_or, axiom,(( l_or @ (X0)@ (X1)) = ((imp @ (d_not @ X0) @ X1)))). 96.06/12.80 thf('4', plain, 96.06/12.80 (![X1:$o,X0:$o]: ( ( l_or @ X0 @ X1 ) = ( imp @ ( d_not @ X0 ) @ X1 ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_e_is, axiom,(( e_is @ (X2)@ (X0)@ (X1)) = ((((X0) = (X1)))))). 96.06/12.80 thf('5', plain, 96.06/12.80 (![X2:$i,X1:$i,X0:$i]: ( ( e_is @ X2 @ X0 @ X1 ) = ( ( X0 ) = ( X1 ) ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_e_in, axiom,(( e_in @ (X1)@ (X2)@ (X0)) = ((X0)))). 96.06/12.80 thf('6', plain, 96.06/12.80 (![X2:( $i > $o ),X1:$i,X0:$i]: ( ( e_in @ X1 @ X2 @ X0 ) = ( X0 ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_ecect, axiom,(( ecect @ (X0)@ (X1)@ (X2)) = 96.06/12.80 ((e_in @ (power @ X0) @ (anec @ X0 @ X1) @ X2)))). 96.06/12.80 thf('7', plain, 96.06/12.80 (![X2:$i,X1:( $i > $i > $o ),X0:$i]: 96.06/12.80 ( ( ecect @ X0 @ X1 @ X2 ) = 96.06/12.80 ( e_in @ ( power @ X0 ) @ ( anec @ X0 @ X1 ) @ X2 ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_rt_is, axiom,(( rt_is @ (X0)@ (X1)) = ((e_is @ rat @ X0 @ X1)))). 96.06/12.80 thf('8', plain, 96.06/12.80 (![X1:$i,X0:$i]: ( ( rt_is @ X0 @ X1 ) = ( e_is @ rat @ X0 @ X1 ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_class, axiom,(( class @ (X0)) = ((ecect @ frac @ n_eq @ X0)))). 96.06/12.80 thf('9', plain, 96.06/12.80 (![X0:$i]: ( ( class @ X0 ) = ( ecect @ frac @ n_eq @ X0 ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_rt_more, axiom,(( rt_more @ (X0)@ (X1)) = 96.06/12.80 ((l_some @ frac @ 96.06/12.80 (^[Y0 : $i]: 96.06/12.80 (l_some @ frac @ 96.06/12.80 (^[Y1 : $i]: 96.06/12.80 (and3 @ (inf @ Y0 @ (class @ X0)) @ (inf @ Y1 @ (class @ X1)) @ 96.06/12.80 (moref @ Y0 @ Y1))))))))). 96.06/12.80 thf('10', plain, 96.06/12.80 (![X1:$i,X0:$i]: 96.06/12.80 ( ( rt_more @ X0 @ X1 ) = 96.06/12.80 ( l_some @ 96.06/12.80 frac @ 96.06/12.80 ( ^[V_1:$i]: 96.06/12.80 ( l_some @ 96.06/12.80 frac @ 96.06/12.80 ( ^[V_2:$i]: 96.06/12.80 ( and3 @ 96.06/12.80 ( inf @ V_1 @ ( class @ X0 ) ) @ 96.06/12.80 ( inf @ V_2 @ ( class @ X1 ) ) @ ( moref @ V_1 @ V_2 ) ) ) ) ) ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_rt_less, axiom,(( rt_less @ (X0)@ (X1)) = 96.06/12.80 ((l_some @ frac @ 96.06/12.80 (^[Y0 : $i]: 96.06/12.80 (l_some @ frac @ 96.06/12.80 (^[Y1 : $i]: 96.06/12.80 (and3 @ (inf @ Y0 @ (class @ X0)) @ (inf @ Y1 @ (class @ X1)) @ 96.06/12.80 (lessf @ Y0 @ Y1))))))))). 96.06/12.80 thf('11', plain, 96.06/12.80 (![X1:$i,X0:$i]: 96.06/12.80 ( ( rt_less @ X0 @ X1 ) = 96.06/12.80 ( l_some @ 96.06/12.80 frac @ 96.06/12.80 ( ^[V_1:$i]: 96.06/12.80 ( l_some @ 96.06/12.80 frac @ 96.06/12.80 ( ^[V_2:$i]: 96.06/12.80 ( and3 @ 96.06/12.80 ( inf @ V_1 @ ( class @ X0 ) ) @ 96.06/12.80 ( inf @ V_2 @ ( class @ X1 ) ) @ ( lessf @ V_1 @ V_2 ) ) ) ) ) ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_rt_moreis, axiom,(( rt_moreis @ (X0)@ (X1)) = 96.06/12.80 ((l_or @ (rt_more @ X0 @ X1) @ (rt_is @ X0 @ X1))))). 96.06/12.80 thf('12', plain, 96.06/12.80 (![X1:$i,X0:$i]: 96.06/12.80 ( ( rt_moreis @ X0 @ X1 ) = 96.06/12.80 ( l_or @ ( rt_more @ X0 @ X1 ) @ ( rt_is @ X0 @ X1 ) ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(zip_derived_cl646, plain, 96.06/12.80 (~ (((is_of @ '#sk2' @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 96.06/12.80 (((imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 ($false)) => (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ((('#sk1') = ('#sk2'))))))))), 96.06/12.80 inference('rw', [status(thm)], 96.06/12.80 [zip_derived_cl645, '3', '3', '4', '5', '6', '6', '0', '7', 96.06/12.80 '7', '1', '8', '9', '9', '10', '11', '12'])). 96.06/12.80 thf(zip_derived_cl648, plain, 96.06/12.80 (~ (((imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 ($false)) => (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ((('#sk1') = ('#sk2'))))))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl646])). 96.06/12.80 thf(zip_derived_cl650, plain, 96.06/12.80 (~ (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ((('#sk1') = ('#sk2'))))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl648])). 96.06/12.80 thf(def_imp, axiom, ~ (imp @ X0 @ X1) => ((((X0) => (X1))) != ($true))). 96.06/12.80 thf('13', plain, 96.06/12.80 (![X0:$o,X1:$o]: ( ( ~( imp @ X0 @ X1 ) ) <=> ( ~( ( X0 ) => ( X1 ) ) ) )), 96.06/12.80 inference('rw.lit', [status(esa)], [def_imp])). 96.06/12.80 thf(zip_derived_cl652, plain, 96.06/12.80 (~ (((imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) => ((('#sk1') = ('#sk2')))))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl650, '13'])). 96.06/12.80 thf(zip_derived_cl656, plain, (~ ((('#sk1') = ('#sk2')))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl652])). 96.06/12.80 thf(zip_derived_cl658, plain, ((('#sk1') != ('#sk2'))), 96.06/12.80 inference('simplify nested equalities', [status(thm)], 96.06/12.80 [zip_derived_cl656])). 96.06/12.80 thf(zip_derived_cl641, plain, 96.06/12.80 ( (is_of @ '#sk1' @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl640])). 96.06/12.80 thf(zip_derived_cl8019, plain, 96.06/12.80 ( (is_of @ '#sk1' @ 96.06/12.80 ('#ty_enc8' @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))), 96.06/12.80 inference('remove_ty_args', [status(thm)], [zip_derived_cl641])). 96.06/12.80 thf(zip_derived_cl647, plain, 96.06/12.80 ( (is_of @ '#sk2' @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl646])). 96.06/12.80 thf(zip_derived_cl8020, plain, 96.06/12.80 ( (is_of @ '#sk2' @ 96.06/12.80 ('#ty_enc8' @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))), 96.06/12.80 inference('remove_ty_args', [status(thm)], [zip_derived_cl647])). 96.06/12.80 thf(zip_derived_cl649, plain, 96.06/12.80 ( (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 ($false))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl648])). 96.06/12.80 thf(def_imp, axiom, (imp @ X0 @ X1) => ((((X0) => (X1))) = ($true))). 96.06/12.80 thf('14', plain, 96.06/12.80 (![X0:$o,X1:$o]: ( ( imp @ X0 @ X1 ) <=> ( ( X0 ) => ( X1 ) ) )), 96.06/12.80 inference('rw.lit', [status(esa)], [def_imp])). 96.06/12.80 thf(zip_derived_cl651, plain, 96.06/12.80 ( (((l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 lessf))))) => 96.06/12.80 ($false)))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl649, '14'])). 96.06/12.80 thf(zip_derived_cl653, plain, 96.06/12.80 ( (((~) @ (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 lessf)))))))), 96.06/12.80 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl651])). 96.06/12.80 thf(zip_derived_cl654, plain, 96.06/12.80 (~ (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 lessf)))))), 96.06/12.80 inference('simplify nested equalities', [status(thm)], 96.06/12.80 [zip_derived_cl653])). 96.06/12.80 thf(zip_derived_cl8021, plain, 96.06/12.80 (~ (l_some @ frac @ 96.06/12.80 ('#ty_enc9' @ (l_some @ frac) @ 96.06/12.80 ('#ty_enc10' @ 96.06/12.80 ('#ty_enc11' @ '#ty_enc16' @ 96.06/12.80 ('#ty_enc12' @ 96.06/12.80 ('#ty_enc13' @ '#ty_enc15' @ 96.06/12.80 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ '#sk1'))) @ 96.06/12.80 ('#ty_enc8' @ inf @ '#sk2'))) @ 96.06/12.80 lessf)))), 96.06/12.80 inference('remove_ty_args', [status(thm)], [zip_derived_cl654])). 96.06/12.80 thf(zip_derived_cl655, plain, 96.06/12.80 ( (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl652])). 96.06/12.80 thf(zip_derived_cl657, plain, 96.06/12.80 ( (((l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 moref))))) => 96.06/12.80 ($false)))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl655, '14'])). 96.06/12.80 thf(zip_derived_cl659, plain, 96.06/12.80 ( (((~) @ (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 moref)))))))), 96.06/12.80 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl657])). 96.06/12.80 thf(zip_derived_cl660, plain, 96.06/12.80 (~ (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ '#sk1')))))) @ 96.06/12.80 ((('#C') @ inf @ '#sk2')))))) @ 96.06/12.80 moref)))))), 96.06/12.80 inference('simplify nested equalities', [status(thm)], 96.06/12.80 [zip_derived_cl659])). 96.06/12.80 thf(zip_derived_cl8022, plain, 96.06/12.80 (~ (l_some @ frac @ 96.06/12.80 ('#ty_enc9' @ (l_some @ frac) @ 96.06/12.80 ('#ty_enc10' @ 96.06/12.80 ('#ty_enc11' @ '#ty_enc16' @ 96.06/12.80 ('#ty_enc12' @ 96.06/12.80 ('#ty_enc13' @ '#ty_enc15' @ 96.06/12.80 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ '#sk1'))) @ 96.06/12.80 ('#ty_enc8' @ inf @ '#sk2'))) @ 96.06/12.80 moref)))), 96.06/12.80 inference('remove_ty_args', [status(thm)], [zip_derived_cl660])). 96.06/12.80 thf(satz81, axiom, 96.06/12.80 (all_of @ 96.06/12.80 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @ 96.06/12.80 ( ^[X0:$i]: 96.06/12.80 ( all_of @ 96.06/12.80 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @ 96.06/12.80 ( ^[X1:$i]: 96.06/12.80 ( orec3 @ 96.06/12.80 ( rt_is @ X0 @ X1 ) @ ( rt_more @ X0 @ X1 ) @ 96.06/12.80 ( rt_less @ X0 @ X1 ) ) ) ) ))). 96.06/12.80 thf(zip_derived_cl487, plain, 96.06/12.80 ( (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @ 96.06/12.80 (^[Y0 : $i]: 96.06/12.80 (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @ 96.06/12.80 (^[Y1 : $i]: 96.06/12.80 (orec3 @ (rt_is @ Y0 @ Y1) @ (rt_more @ Y0 @ Y1) @ 96.06/12.80 (rt_less @ Y0 @ Y1))))))), 96.06/12.80 inference('cnf', [status(esa)], [satz81])). 96.06/12.80 thf(zip_derived_cl488, plain, 96.06/12.80 ( (all_of @ ((('#C') @ in @ rat)) @ 96.06/12.80 ((('#B') @ (all_of @ ((('#C') @ in @ rat))) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#B') @ ((('#B') @ orec3)) @ rt_is)))) @ 96.06/12.80 rt_more)))) @ 96.06/12.80 rt_less)))))), 96.06/12.80 inference('lams2combs', [status(thm)], [zip_derived_cl487])). 96.06/12.80 thf(zip_derived_cl1692, plain, 96.06/12.80 ( (all_of @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 96.06/12.80 ((('#B') @ (all_of @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#B') @ ((('#B') @ orec3)) @ rt_is)))) @ 96.06/12.80 rt_more)))) @ 96.06/12.80 rt_less)))))), 96.06/12.80 inference('rw', [status(thm)], [zip_derived_cl488, '0', '1'])). 96.06/12.80 thf(def_all_of, axiom, (all_of @ X0 @ X1) => 96.06/12.80 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) = ($true))). 96.06/12.80 thf('15', plain, 96.06/12.80 (![X0:( $i > $o ),X1:( $i > $o )]: 96.06/12.80 ( ( all_of @ X0 @ X1 ) <=> 96.06/12.80 ( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) )), 96.06/12.80 inference('rw.lit', [status(esa)], [def_all_of])). 96.06/12.80 thf(zip_derived_cl1693, plain, 96.06/12.80 ( (((!!) @ (^[Y0 : $i]: 96.06/12.80 (((is_of @ Y0 @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 96.06/12.80 ((('#B') @ (all_of @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ 96.06/12.80 (anec @ frac @ n_eq))))) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#B') @ ((('#B') @ orec3)) @ 96.06/12.80 rt_is)))) @ 96.06/12.80 rt_more)))) @ 96.06/12.80 rt_less)) @ 96.06/12.80 Y0)))))))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl1692, '15'])). 96.06/12.80 thf(zip_derived_cl1694, plain, 96.06/12.80 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 96.06/12.80 ((('#C') @ is_of @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ 96.06/12.80 (anec @ frac @ n_eq)))))))) @ 96.06/12.80 ((('#B') @ (all_of @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#B') @ ((('#B') @ orec3)) @ 96.06/12.80 rt_is)))) @ 96.06/12.80 rt_more)))) @ 96.06/12.80 rt_less))))))))), 96.06/12.80 inference('comb-normalize', [status(thm)], [zip_derived_cl1693])). 96.06/12.80 thf(zip_derived_cl1695, plain, 96.06/12.80 (![X2 : $i]: 96.06/12.80 (((is_of @ X2 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 96.06/12.80 (all_of @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 96.06/12.80 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (rt_is @ X2))) @ 96.06/12.80 (rt_more @ X2))) @ 96.06/12.80 (rt_less @ X2))))))), 96.06/12.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1694])). 96.06/12.80 thf(zip_derived_cl1696, plain, 96.06/12.80 (![X2 : $i]: 96.06/12.80 (~ (is_of @ X2 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | (all_of @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 96.06/12.80 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (rt_is @ X2))) @ 96.06/12.80 (rt_more @ X2))) @ 96.06/12.80 (rt_less @ X2)))))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1695])). 96.06/12.80 thf(zip_derived_cl1697, plain, 96.06/12.80 (![X0 : $i]: 96.06/12.80 ( (((!!) @ (^[Y0 : $i]: 96.06/12.80 (((is_of @ Y0 @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 96.06/12.80 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (rt_is @ X0))) @ 96.06/12.80 (rt_more @ X0))) @ 96.06/12.80 (rt_less @ X0) @ Y0))))))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl1696, '15'])). 96.06/12.80 thf(zip_derived_cl1698, plain, 96.06/12.80 (![X0 : $i]: 96.06/12.80 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 96.06/12.80 ((('#C') @ is_of @ 96.06/12.80 ((('#C') @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ 96.06/12.80 (anec @ frac @ n_eq)))))))) @ 96.06/12.80 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (rt_is @ X0))) @ 96.06/12.80 (rt_more @ X0))) @ 96.06/12.80 (rt_less @ X0))))))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('comb-normalize', [status(thm)], [zip_derived_cl1697])). 96.06/12.80 thf(zip_derived_cl1699, plain, 96.06/12.80 (![X0 : $i, X2 : $i]: 96.06/12.80 ( (((is_of @ X2 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 96.06/12.80 (orec3 @ (rt_is @ X0 @ X2) @ (rt_more @ X0 @ X2) @ 96.06/12.80 (rt_less @ X0 @ X2)))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1698])). 96.06/12.80 thf(def_l_ec, axiom,(( l_ec @ (X0)@ (X1)) = ((imp @ X0 @ (d_not @ X1))))). 96.06/12.80 thf('16', plain, 96.06/12.80 (![X1:$o,X0:$o]: ( ( l_ec @ X0 @ X1 ) = ( imp @ X0 @ ( d_not @ X1 ) ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_d_and, axiom,(( d_and @ (X0)@ (X1)) = ((d_not @ (l_ec @ X0 @ X1))))). 96.06/12.80 thf('17', plain, 96.06/12.80 (![X1:$o,X0:$o]: ( ( d_and @ X0 @ X1 ) = ( d_not @ ( l_ec @ X0 @ X1 ) ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_or3, axiom,(( or3 @ (X0)@ (X1)@ (X2)) = 96.06/12.80 ((l_or @ X0 @ (l_or @ X1 @ X2))))). 96.06/12.80 thf('18', plain, 96.06/12.80 (![X2:$o,X1:$o,X0:$o]: 96.06/12.80 ( ( or3 @ X0 @ X1 @ X2 ) = ( l_or @ X0 @ ( l_or @ X1 @ X2 ) ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_and3, axiom,(( and3 @ (X0)@ (X1)@ (X2)) = 96.06/12.80 ((d_and @ X0 @ (d_and @ X1 @ X2))))). 96.06/12.80 thf('19', plain, 96.06/12.80 (![X2:$o,X1:$o,X0:$o]: 96.06/12.80 ( ( and3 @ X0 @ X1 @ X2 ) = ( d_and @ X0 @ ( d_and @ X1 @ X2 ) ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_ec3, axiom,(( ec3 @ (X0)@ (X1)@ (X2)) = 96.06/12.80 ((and3 @ (l_ec @ X0 @ X1) @ (l_ec @ X1 @ X2) @ (l_ec @ X2 @ X0))))). 96.06/12.80 thf('20', plain, 96.06/12.80 (![X2:$o,X1:$o,X0:$o]: 96.06/12.80 ( ( ec3 @ X0 @ X1 @ X2 ) = 96.06/12.80 ( and3 @ ( l_ec @ X0 @ X1 ) @ ( l_ec @ X1 @ X2 ) @ ( l_ec @ X2 @ X0 ) ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(def_orec3, axiom,(( orec3 @ (X0)@ (X1)@ (X2)) = 96.06/12.80 ((d_and @ (or3 @ X0 @ X1 @ X2) @ (ec3 @ X0 @ X1 @ X2))))). 96.06/12.80 thf('21', plain, 96.06/12.80 (![X2:$o,X1:$o,X0:$o]: 96.06/12.80 ( ( orec3 @ X0 @ X1 @ X2 ) = 96.06/12.80 ( d_and @ ( or3 @ X0 @ X1 @ X2 ) @ ( ec3 @ X0 @ X1 @ X2 ) ) )), 96.06/12.80 define([status(thm)])). 96.06/12.80 thf(zip_derived_cl1700, plain, 96.06/12.80 (![X0 : $i, X2 : $i]: 96.06/12.80 ( (((is_of @ X2 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ (imp @ (((X0) = (X2))) @ ($false)) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 lessf))))))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ (((X0) = (X2))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 (imp @ (((X0) = (X2))) @ ($false))) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('rw', [status(thm)], 96.06/12.80 [zip_derived_cl1699, '3', '3', '3', '3', '3', '3', '3', '3', 96.06/12.80 '3', '16', '16', '16', '16', '16', '16', '17', '17', '17', 96.06/12.80 '4', '4', '18', '19', '20', '21', '5', '6', '6', '0', '7', 96.06/12.80 '7', '1', '8', '9', '9', '10', '11'])). 96.06/12.80 thf(zip_derived_cl1701, plain, 96.06/12.80 (![X0 : $i, X2 : $i]: 96.06/12.80 (~ (is_of @ X2 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ (imp @ (((X0) = (X2))) @ ($false)) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 lessf))))))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ (((X0) = (X2))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X2)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 (imp @ (((X0) = (X2))) @ ($false))) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1700])). 96.06/12.80 thf(zip_derived_cl1702, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 ( (((imp @ 96.06/12.80 (imp @ (imp @ (((X0) = (X1))) @ ($false)) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ (((X0) = (X1))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 (imp @ (((X0) = (X1))) @ ($false))) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false))) => 96.06/12.80 ($false))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl1701, '14'])). 96.06/12.80 thf(zip_derived_cl1703, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 ( (((~) @ (imp @ 96.06/12.80 (imp @ (imp @ (((X0) = (X1))) @ ($false)) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ (((X0) = (X1))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 (imp @ (((X0) = (X1))) @ ($false))) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false))))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('simplify boolean subterms', [status(thm)], 96.06/12.80 [zip_derived_cl1702])). 96.06/12.80 thf(zip_derived_cl1704, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 (~ (imp @ 96.06/12.80 (imp @ (imp @ (((X0) = (X1))) @ ($false)) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ (((X0) = (X1))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 (imp @ (((X0) = (X1))) @ ($false))) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('simplify nested equalities', [status(thm)], 96.06/12.80 [zip_derived_cl1703])). 96.06/12.80 thf(zip_derived_cl1705, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 (~ (((imp @ (imp @ (((X1) = (X0))) @ ($false)) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 lessf))))))) => 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ (((X1) = (X0))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 ($false))) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 lessf))))) @ 96.06/12.80 (imp @ (((X1) = (X0))) @ ($false))) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false))) @ 96.06/12.80 ($false)) @ 96.06/12.80 ($false)))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl1704, '13'])). 96.06/12.80 thf(zip_derived_cl1706, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 ( (imp @ (imp @ (((X1) = (X0))) @ ($false)) @ 96.06/12.80 (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 lessf))))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1705])). 96.06/12.80 thf(zip_derived_cl1708, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 ( (((imp @ (((X1) = (X0))) @ ($false)) => (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 lessf)))))))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl1706, '14'])). 96.06/12.80 thf(zip_derived_cl1710, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 (~ (imp @ (((X1) = (X0))) @ ($false)) 96.06/12.80 | (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 lessf)))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1708])). 96.06/12.80 thf(zip_derived_cl1714, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 (~ (((((X1) = (X0))) => ($false))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 lessf)))))))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl1710, '13'])). 96.06/12.80 thf(zip_derived_cl1718, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 (~ (((~) @ (((X1) = (X0))))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 lessf)))))))), 96.06/12.80 inference('simplify boolean subterms', [status(thm)], 96.06/12.80 [zip_derived_cl1714])). 96.06/12.80 thf(zip_derived_cl1719, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 (((X1) = (X0)) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | (imp @ 96.06/12.80 (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 lessf)))))))), 96.06/12.80 inference('simplify nested equalities', [status(thm)], 96.06/12.80 [zip_derived_cl1718])). 96.06/12.80 thf(zip_derived_cl1720, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 ( (((imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) => (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ((X0) = (X1)))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl1719, '14'])). 96.06/12.80 thf(zip_derived_cl1723, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 (~ (imp @ 96.06/12.80 (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) @ 96.06/12.80 ($false)) 96.06/12.80 | (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))) 96.06/12.80 | ((X0) = (X1)) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 96.06/12.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1720])). 96.06/12.80 thf(zip_derived_cl1726, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 (~ (((l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) => 96.06/12.80 ($false))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ((X0) = (X1)) 96.06/12.80 | (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))))), 96.06/12.80 inference('rw_clause', [status(thm)], [zip_derived_cl1723, '13'])). 96.06/12.80 thf(zip_derived_cl1731, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 (~ (((~) @ (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ((X0) = (X1)) 96.06/12.80 | (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))))), 96.06/12.80 inference('simplify boolean subterms', [status(thm)], 96.06/12.80 [zip_derived_cl1726])). 96.06/12.80 thf(zip_derived_cl1732, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 ( (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 moref))))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 96.06/12.80 | ((X0) = (X1)) 96.06/12.80 | (l_some @ frac @ 96.06/12.80 ((('#B') @ (l_some @ frac) @ 96.06/12.80 ((('#S') @ ((('#B') @ ('#S') @ 96.06/12.80 ((('#C') @ ((('#B') @ ('#B') @ 96.06/12.80 ((('#B') @ and3 @ 96.06/12.80 ((('#C') @ inf @ X0)))))) @ 96.06/12.80 ((('#C') @ inf @ X1)))))) @ 96.06/12.80 lessf))))))), 96.06/12.80 inference('simplify nested equalities', [status(thm)], 96.06/12.80 [zip_derived_cl1731])). 96.06/12.80 thf(zip_derived_cl8057, plain, 96.06/12.80 (![X0 : $i, X1 : $i]: 96.06/12.80 ( (l_some @ frac @ 96.06/12.80 ('#ty_enc9' @ (l_some @ frac) @ 96.06/12.80 ('#ty_enc10' @ 96.06/12.80 ('#ty_enc11' @ '#ty_enc16' @ 96.06/12.80 ('#ty_enc12' @ 96.06/12.80 ('#ty_enc13' @ '#ty_enc15' @ 96.06/12.80 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ X0))) @ 96.06/12.80 ('#ty_enc8' @ inf @ X1))) @ 96.06/12.80 moref))) 96.06/12.80 | ~ (is_of @ X0 @ 96.06/12.80 ('#ty_enc8' @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) 96.06/12.80 | ~ (is_of @ X1 @ 96.06/12.80 ('#ty_enc8' @ in @ 96.06/12.80 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) 96.06/12.80 | ((X0) = (X1)) 96.06/12.80 | (l_some @ frac @ 96.06/12.80 ('#ty_enc9' @ (l_some @ frac) @ 96.06/12.80 ('#ty_enc10' @ 96.06/12.80 ('#ty_enc11' @ '#ty_enc16' @ 96.06/12.80 ('#ty_enc12' @ 96.06/12.80 ('#ty_enc13' @ '#ty_enc15' @ 96.06/12.80 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ X0))) @ 96.06/12.80 ('#ty_enc8' @ inf @ X1))) @ 96.06/12.80 lessf))))), 96.06/12.80 inference('remove_ty_args', [status(thm)], [zip_derived_cl1732])). 96.06/12.80 thf(zip_derived_cl8152, plain, ($false), 96.06/12.80 inference('eprover', [status(thm)], 96.06/12.80 [zip_derived_cl658, zip_derived_cl8019, zip_derived_cl8020, 96.06/12.80 zip_derived_cl8021, zip_derived_cl8022, zip_derived_cl8057])). 96.06/12.80 96.06/12.80 % SZS output end Refutation 96.06/12.80 96.06/12.80 96.06/12.80 % Terminating... 97.29/12.93 % Runner terminated. 97.29/12.94 % Zipperpin 1.5 exiting 97.29/12.96 EOF