0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.19 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bMgmw23Dim true 0.19/0.41 % Computer : n024.cluster.edu 0.19/0.41 % Model : x86_64 x86_64 0.19/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.19/0.41 % Memory : 8042.1875MB 0.19/0.41 % OS : Linux 3.10.0-693.el7.x86_64 0.19/0.41 % CPULimit : 960 0.19/0.41 % WCLimit : 120 0.19/0.41 % DateTime : Tue Aug 9 07:40:07 EDT 2022 0.19/0.41 % CPUTime : 0.19/0.41 % Running portfolio for 960 s 0.19/0.41 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.19/0.41 % Number of cores: 8 0.19/0.42 % Python version: Python 3.6.8 0.19/0.42 % Running in HO mode 0.40/0.73 % Total configuration time : 828 0.40/0.73 % Estimated wc time : 1656 0.40/0.73 % Estimated cpu time (8 cpus) : 207.0 0.41/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.41/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.41/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.41/0.83 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.41/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.41/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.41/0.83 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.41/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.41/1.03 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 95.46/12.82 % Solved by lams/40_b.comb.sh. 95.46/12.82 % running E: timeout 28 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.bMgmw23Dim/e_inputceba61 --cpu-limit=26 --auto-schedule -s -p 95.46/12.82 % done 321 iterations in 11.938s 95.46/12.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 95.46/12.82 % SZS output start Refutation 95.46/12.82 thf('#ty_enc11_type', type, '#ty_enc11': (($i > $o > $o) > ($i > $o) > $i > $o) > 95.46/12.82 ($i > $i > $o > $o) > $i > 95.46/12.82 ($i > $o) > $i > $o). 95.46/12.82 thf(rat_type, type, rat: $i). 95.46/12.82 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o). 95.46/12.82 thf(orec3_type, type, orec3: $o > $o > $o > $o). 95.46/12.82 thf(anec_type, type, anec: $i > ($i > $i > $o) > $i > $o). 95.46/12.82 thf(or3_type, type, or3: $o > $o > $o > $o). 95.46/12.82 thf('#ty_enc8_type', type, '#ty_enc8': ($i > $i > $o) > $i > $i > $o). 95.46/12.82 thf(rt_moreis_type, type, rt_moreis: $i > $i > $o). 95.46/12.82 thf('#ty_enc16_type', type, '#ty_enc16': ($i > $o > $o) > ($i > $o) > $i > $o). 95.46/12.82 thf(rt_less_type, type, rt_less: $i > $i > $o). 95.46/12.82 thf('#ty_enc10_type', type, '#ty_enc10': ($i > ($i > $o) > $i > $o) > 95.46/12.82 ($i > $i > $o) > $i > $i > $o). 95.46/12.82 thf(n_eq_type, type, n_eq: $i > $i > $o). 95.46/12.82 thf(power_type, type, power: $i > $i). 95.46/12.82 thf(l_or_type, type, l_or: $o > $o > $o). 95.46/12.82 thf(rt_is_type, type, rt_is: $i > $i > $o). 95.46/12.82 thf('#ty_enc14_type', type, '#ty_enc14': ($o > $o > $o > $o) > ($i > $o) > 95.46/12.82 $i > $o > $o > $o). 95.46/12.82 thf(frac_type, type, frac: $i). 95.46/12.82 thf(and3_type, type, and3: $o > $o > $o > $o). 95.46/12.82 thf(d_and_type, type, d_and: $o > $o > $o). 95.46/12.82 thf(in_type, type, in: $i > $i > $o). 95.46/12.82 thf(lessf_type, type, lessf: $i > $i > $o). 95.46/12.82 thf(e_in_type, type, e_in: $i > ($i > $o) > $i > $i). 95.46/12.82 thf(imp_type, type, imp: $o > $o > $o). 95.46/12.82 thf(inf_type, type, inf: $i > $i > $o). 95.46/12.82 thf('#ty_enc9_type', type, '#ty_enc9': (($i > $o) > $o) > ($i > $i > $o) > $i > $o). 95.46/12.82 thf(moref_type, type, moref: $i > $i > $o). 95.46/12.82 thf(ecect_type, type, ecect: $i > ($i > $i > $o) > $i > $i). 95.46/12.82 thf(ec3_type, type, ec3: $o > $o > $o > $o). 95.46/12.82 thf(l_some_type, type, l_some: $i > ($i > $o) > $o). 95.46/12.82 thf(is_of_type, type, is_of: $i > ($i > $o) > $o). 95.46/12.82 thf(e_is_type, type, e_is: $i > $i > $i > $o). 95.46/12.82 thf('#sk1_type', type, '#sk1': $i). 95.46/12.82 thf(class_type, type, class: $i > $i). 95.46/12.82 thf('#ty_enc15_type', type, '#ty_enc15': ($o > $o > $o) > ($i > $o) > $i > $o > $o). 95.46/12.82 thf('#ty_enc12_type', type, '#ty_enc12': ($i > ($i > $o) > $i > $o > $o) > 95.46/12.82 ($i > $o) > $i > $i > $o > $o). 95.46/12.82 thf(l_ec_type, type, l_ec: $o > $o > $o). 95.46/12.82 thf('#ty_enc13_type', type, '#ty_enc13': (($o > $o > $o) > ($i > $o) > $i > 95.46/12.82 $o > $o) > 95.46/12.82 ($i > $o > $o > $o) > $i > 95.46/12.82 ($i > $o) > $i > $o > $o). 95.46/12.82 thf(d_Sep_type, type, d_Sep: $i > ($i > $o) > $i). 95.46/12.82 thf(rt_more_type, type, rt_more: $i > $i > $o). 95.46/12.82 thf(d_not_type, type, d_not: $o > $o). 95.46/12.82 thf('#sk2_type', type, '#sk2': $i). 95.46/12.82 thf(ect_type, type, ect: $i > ($i > $i > $o) > $i). 95.46/12.82 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 95.46/12.82 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 95.46/12.82 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 95.46/12.82 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 95.46/12.82 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 95.46/12.82 thf(satz81f, conjecture, 95.46/12.82 (all_of @ 95.46/12.82 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @ 95.46/12.82 ( ^[X0:$i]: 95.46/12.82 ( all_of @ 95.46/12.82 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @ 95.46/12.82 ( ^[X1:$i]: 95.46/12.82 ( ( d_not @ ( rt_less @ X0 @ X1 ) ) => ( rt_moreis @ X0 @ X1 ) ) ) ) ))). 95.46/12.82 thf(zf_stmt_0, negated_conjecture, 95.46/12.82 (~( all_of @ 95.46/12.82 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @ 95.46/12.82 ( ^[X0:$i]: 95.46/12.82 ( all_of @ 95.46/12.82 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @ 95.46/12.82 ( ^[X1:$i]: 95.46/12.82 ( ( d_not @ ( rt_less @ X0 @ X1 ) ) => ( rt_moreis @ X0 @ X1 ) ) ) ) ) )), 95.46/12.82 inference('cnf.neg', [status(esa)], [satz81f])). 95.46/12.82 thf(zip_derived_cl501, plain, 95.46/12.82 (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @ 95.46/12.82 (^[Y0 : $i]: 95.46/12.82 (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @ 95.46/12.82 (^[Y1 : $i]: 95.46/12.82 (((d_not @ (rt_less @ Y0 @ Y1)) => (rt_moreis @ Y0 @ Y1)))))))), 95.46/12.82 inference('cnf', [status(esa)], [zf_stmt_0])). 95.46/12.82 thf(zip_derived_cl502, plain, 95.46/12.82 (~ (all_of @ ((('#C') @ in @ rat)) @ 95.46/12.82 ((('#B') @ (all_of @ ((('#C') @ in @ rat))) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#B') @ ((('#B') @ (=>))) @ 95.46/12.82 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @ 95.46/12.82 rt_moreis)))))), 95.46/12.82 inference('lams2combs', [status(thm)], [zip_derived_cl501])). 95.46/12.82 thf(def_ect, axiom,(( ect @ (X0)@ (X1)) = 95.46/12.82 ((d_Sep @ (power @ X0) @ (anec @ X0 @ X1))))). 95.46/12.82 thf('0', plain, 95.46/12.82 (![X1:( $i > $i > $o ),X0:$i]: 95.46/12.82 ( ( ect @ X0 @ X1 ) = ( d_Sep @ ( power @ X0 ) @ ( anec @ X0 @ X1 ) ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_rat, axiom,(( rat ) = ((ect @ frac @ n_eq)))). 95.46/12.82 thf('1', plain, (( rat ) = ( ect @ frac @ n_eq )), define([status(thm)])). 95.46/12.82 thf(zip_derived_cl637, plain, 95.46/12.82 (~ (all_of @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 95.46/12.82 ((('#B') @ (all_of @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#B') @ ((('#B') @ (=>))) @ 95.46/12.82 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @ 95.46/12.82 rt_moreis)))))), 95.46/12.82 inference('rw', [status(thm)], [zip_derived_cl502, '0', '1'])). 95.46/12.82 thf(def_all_of, axiom, ~ (all_of @ X0 @ X1) => 95.46/12.82 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) != ($true))). 95.46/12.82 thf('2', plain, 95.46/12.82 (![X0:( $i > $o ),X1:( $i > $o )]: 95.46/12.82 ( ( ~( all_of @ X0 @ X1 ) ) <=> 95.46/12.82 ( ~( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) ) )), 95.46/12.82 inference('rw.lit', [status(esa)], [def_all_of])). 95.46/12.82 thf(zip_derived_cl638, plain, 95.46/12.82 (~ (((!!) @ (^[Y0 : $i]: 95.46/12.82 (((is_of @ Y0 @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 95.46/12.82 ((('#B') @ (all_of @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ 95.46/12.82 (anec @ frac @ n_eq))))) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#B') @ ((('#B') @ (=>))) @ 95.46/12.82 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @ 95.46/12.82 rt_moreis)) @ 95.46/12.82 Y0)))))))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl637, '2'])). 95.46/12.82 thf(zip_derived_cl639, plain, 95.46/12.82 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 95.46/12.82 ((('#C') @ is_of @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ 95.46/12.82 (anec @ frac @ n_eq)))))))) @ 95.46/12.82 ((('#B') @ (all_of @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ 95.46/12.82 (anec @ frac @ n_eq))))) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#B') @ ((('#B') @ (=>))) @ 95.46/12.82 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @ 95.46/12.82 rt_moreis))))))))), 95.46/12.82 inference('comb-normalize', [status(thm)], [zip_derived_cl638])). 95.46/12.82 thf(zip_derived_cl640, plain, 95.46/12.82 (~ (((is_of @ '#sk1' @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 95.46/12.82 (all_of @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 95.46/12.82 ((('#S') @ ((('#B') @ (=>) @ ((('#B') @ d_not @ (rt_less @ '#sk1'))))) @ 95.46/12.82 (rt_moreis @ '#sk1'))))))), 95.46/12.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl639])). 95.46/12.82 thf(zip_derived_cl642, plain, 95.46/12.82 (~ (all_of @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 95.46/12.82 ((('#S') @ ((('#B') @ (=>) @ ((('#B') @ d_not @ (rt_less @ '#sk1'))))) @ 95.46/12.82 (rt_moreis @ '#sk1'))))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl640])). 95.46/12.82 thf(zip_derived_cl643, plain, 95.46/12.82 (~ (((!!) @ (^[Y0 : $i]: 95.46/12.82 (((is_of @ Y0 @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 95.46/12.82 ((('#S') @ ((('#B') @ (=>) @ 95.46/12.82 ((('#B') @ d_not @ (rt_less @ '#sk1'))))) @ 95.46/12.82 (rt_moreis @ '#sk1') @ Y0)))))))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl642, '2'])). 95.46/12.82 thf(zip_derived_cl644, plain, 95.46/12.82 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 95.46/12.82 ((('#C') @ is_of @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ 95.46/12.82 (anec @ frac @ n_eq)))))))) @ 95.46/12.82 ((('#S') @ ((('#B') @ (=>) @ 95.46/12.82 ((('#B') @ d_not @ (rt_less @ '#sk1'))))) @ 95.46/12.82 (rt_moreis @ '#sk1')))))))), 95.46/12.82 inference('comb-normalize', [status(thm)], [zip_derived_cl643])). 95.46/12.82 thf(zip_derived_cl645, plain, 95.46/12.82 (~ (((is_of @ '#sk2' @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 95.46/12.82 (((d_not @ (rt_less @ '#sk1' @ '#sk2')) => (rt_moreis @ '#sk1' @ 95.46/12.82 '#sk2')))))), 95.46/12.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl644])). 95.46/12.82 thf(def_d_not, axiom,(( d_not @ (X0)) = ((imp @ X0 @ ($false))))). 95.46/12.82 thf('3', plain, (![X0:$o]: ( ( d_not @ X0 ) = ( imp @ X0 @ $false ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_l_or, axiom,(( l_or @ (X0)@ (X1)) = ((imp @ (d_not @ X0) @ X1)))). 95.46/12.82 thf('4', plain, 95.46/12.82 (![X1:$o,X0:$o]: ( ( l_or @ X0 @ X1 ) = ( imp @ ( d_not @ X0 ) @ X1 ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_e_is, axiom,(( e_is @ (X2)@ (X0)@ (X1)) = ((((X0) = (X1)))))). 95.46/12.82 thf('5', plain, 95.46/12.82 (![X2:$i,X1:$i,X0:$i]: ( ( e_is @ X2 @ X0 @ X1 ) = ( ( X0 ) = ( X1 ) ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_e_in, axiom,(( e_in @ (X1)@ (X2)@ (X0)) = ((X0)))). 95.46/12.82 thf('6', plain, 95.46/12.82 (![X2:( $i > $o ),X1:$i,X0:$i]: ( ( e_in @ X1 @ X2 @ X0 ) = ( X0 ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_ecect, axiom,(( ecect @ (X0)@ (X1)@ (X2)) = 95.46/12.82 ((e_in @ (power @ X0) @ (anec @ X0 @ X1) @ X2)))). 95.46/12.82 thf('7', plain, 95.46/12.82 (![X2:$i,X1:( $i > $i > $o ),X0:$i]: 95.46/12.82 ( ( ecect @ X0 @ X1 @ X2 ) = 95.46/12.82 ( e_in @ ( power @ X0 ) @ ( anec @ X0 @ X1 ) @ X2 ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_rt_is, axiom,(( rt_is @ (X0)@ (X1)) = ((e_is @ rat @ X0 @ X1)))). 95.46/12.82 thf('8', plain, 95.46/12.82 (![X1:$i,X0:$i]: ( ( rt_is @ X0 @ X1 ) = ( e_is @ rat @ X0 @ X1 ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_class, axiom,(( class @ (X0)) = ((ecect @ frac @ n_eq @ X0)))). 95.46/12.82 thf('9', plain, 95.46/12.82 (![X0:$i]: ( ( class @ X0 ) = ( ecect @ frac @ n_eq @ X0 ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_rt_more, axiom,(( rt_more @ (X0)@ (X1)) = 95.46/12.82 ((l_some @ frac @ 95.46/12.82 (^[Y0 : $i]: 95.46/12.82 (l_some @ frac @ 95.46/12.82 (^[Y1 : $i]: 95.46/12.82 (and3 @ (inf @ Y0 @ (class @ X0)) @ (inf @ Y1 @ (class @ X1)) @ 95.46/12.82 (moref @ Y0 @ Y1))))))))). 95.46/12.82 thf('10', plain, 95.46/12.82 (![X1:$i,X0:$i]: 95.46/12.82 ( ( rt_more @ X0 @ X1 ) = 95.46/12.82 ( l_some @ 95.46/12.82 frac @ 95.46/12.82 ( ^[V_1:$i]: 95.46/12.82 ( l_some @ 95.46/12.82 frac @ 95.46/12.82 ( ^[V_2:$i]: 95.46/12.82 ( and3 @ 95.46/12.82 ( inf @ V_1 @ ( class @ X0 ) ) @ 95.46/12.82 ( inf @ V_2 @ ( class @ X1 ) ) @ ( moref @ V_1 @ V_2 ) ) ) ) ) ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_rt_less, axiom,(( rt_less @ (X0)@ (X1)) = 95.46/12.82 ((l_some @ frac @ 95.46/12.82 (^[Y0 : $i]: 95.46/12.82 (l_some @ frac @ 95.46/12.82 (^[Y1 : $i]: 95.46/12.82 (and3 @ (inf @ Y0 @ (class @ X0)) @ (inf @ Y1 @ (class @ X1)) @ 95.46/12.82 (lessf @ Y0 @ Y1))))))))). 95.46/12.82 thf('11', plain, 95.46/12.82 (![X1:$i,X0:$i]: 95.46/12.82 ( ( rt_less @ X0 @ X1 ) = 95.46/12.82 ( l_some @ 95.46/12.82 frac @ 95.46/12.82 ( ^[V_1:$i]: 95.46/12.82 ( l_some @ 95.46/12.82 frac @ 95.46/12.82 ( ^[V_2:$i]: 95.46/12.82 ( and3 @ 95.46/12.82 ( inf @ V_1 @ ( class @ X0 ) ) @ 95.46/12.82 ( inf @ V_2 @ ( class @ X1 ) ) @ ( lessf @ V_1 @ V_2 ) ) ) ) ) ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_rt_moreis, axiom,(( rt_moreis @ (X0)@ (X1)) = 95.46/12.82 ((l_or @ (rt_more @ X0 @ X1) @ (rt_is @ X0 @ X1))))). 95.46/12.82 thf('12', plain, 95.46/12.82 (![X1:$i,X0:$i]: 95.46/12.82 ( ( rt_moreis @ X0 @ X1 ) = 95.46/12.82 ( l_or @ ( rt_more @ X0 @ X1 ) @ ( rt_is @ X0 @ X1 ) ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(zip_derived_cl646, plain, 95.46/12.82 (~ (((is_of @ '#sk2' @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 95.46/12.82 (((imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 ($false)) => (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ((('#sk1') = ('#sk2'))))))))), 95.46/12.82 inference('rw', [status(thm)], 95.46/12.82 [zip_derived_cl645, '3', '3', '4', '5', '6', '6', '0', '7', 95.46/12.82 '7', '1', '8', '9', '9', '10', '11', '12'])). 95.46/12.82 thf(zip_derived_cl648, plain, 95.46/12.82 (~ (((imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 ($false)) => (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ((('#sk1') = ('#sk2'))))))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl646])). 95.46/12.82 thf(zip_derived_cl650, plain, 95.46/12.82 (~ (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ((('#sk1') = ('#sk2'))))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl648])). 95.46/12.82 thf(def_imp, axiom, ~ (imp @ X0 @ X1) => ((((X0) => (X1))) != ($true))). 95.46/12.82 thf('13', plain, 95.46/12.82 (![X0:$o,X1:$o]: ( ( ~( imp @ X0 @ X1 ) ) <=> ( ~( ( X0 ) => ( X1 ) ) ) )), 95.46/12.82 inference('rw.lit', [status(esa)], [def_imp])). 95.46/12.82 thf(zip_derived_cl652, plain, 95.46/12.82 (~ (((imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) => ((('#sk1') = ('#sk2')))))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl650, '13'])). 95.46/12.82 thf(zip_derived_cl656, plain, (~ ((('#sk1') = ('#sk2')))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl652])). 95.46/12.82 thf(zip_derived_cl658, plain, ((('#sk1') != ('#sk2'))), 95.46/12.82 inference('simplify nested equalities', [status(thm)], 95.46/12.82 [zip_derived_cl656])). 95.46/12.82 thf(zip_derived_cl641, plain, 95.46/12.82 ( (is_of @ '#sk1' @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl640])). 95.46/12.82 thf(zip_derived_cl9361, plain, 95.46/12.82 ( (is_of @ '#sk1' @ 95.46/12.82 ('#ty_enc8' @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))), 95.46/12.82 inference('remove_ty_args', [status(thm)], [zip_derived_cl641])). 95.46/12.82 thf(zip_derived_cl655, plain, 95.46/12.82 ( (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl652])). 95.46/12.82 thf(def_imp, axiom, (imp @ X0 @ X1) => ((((X0) => (X1))) = ($true))). 95.46/12.82 thf('14', plain, 95.46/12.82 (![X0:$o,X1:$o]: ( ( imp @ X0 @ X1 ) <=> ( ( X0 ) => ( X1 ) ) )), 95.46/12.82 inference('rw.lit', [status(esa)], [def_imp])). 95.46/12.82 thf(zip_derived_cl657, plain, 95.46/12.82 ( (((l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 moref))))) => 95.46/12.82 ($false)))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl655, '14'])). 95.46/12.82 thf(zip_derived_cl659, plain, 95.46/12.82 ( (((~) @ (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 moref)))))))), 95.46/12.82 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl657])). 95.46/12.82 thf(zip_derived_cl660, plain, 95.46/12.82 (~ (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 moref)))))), 95.46/12.82 inference('simplify nested equalities', [status(thm)], 95.46/12.82 [zip_derived_cl659])). 95.46/12.82 thf(zip_derived_cl9364, plain, 95.46/12.82 (~ (l_some @ frac @ 95.46/12.82 ('#ty_enc9' @ (l_some @ frac) @ 95.46/12.82 ('#ty_enc10' @ 95.46/12.82 ('#ty_enc11' @ '#ty_enc16' @ 95.46/12.82 ('#ty_enc12' @ 95.46/12.82 ('#ty_enc13' @ '#ty_enc15' @ 95.46/12.82 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ '#sk1'))) @ 95.46/12.82 ('#ty_enc8' @ inf @ '#sk2'))) @ 95.46/12.82 moref)))), 95.46/12.82 inference('remove_ty_args', [status(thm)], [zip_derived_cl660])). 95.46/12.82 thf(zip_derived_cl649, plain, 95.46/12.82 ( (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 ($false))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl648])). 95.46/12.82 thf(zip_derived_cl651, plain, 95.46/12.82 ( (((l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 lessf))))) => 95.46/12.82 ($false)))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl649, '14'])). 95.46/12.82 thf(zip_derived_cl653, plain, 95.46/12.82 ( (((~) @ (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 lessf)))))))), 95.46/12.82 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl651])). 95.46/12.82 thf(zip_derived_cl654, plain, 95.46/12.82 (~ (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ '#sk1')))))) @ 95.46/12.82 ((('#C') @ inf @ '#sk2')))))) @ 95.46/12.82 lessf)))))), 95.46/12.82 inference('simplify nested equalities', [status(thm)], 95.46/12.82 [zip_derived_cl653])). 95.46/12.82 thf(zip_derived_cl9363, plain, 95.46/12.82 (~ (l_some @ frac @ 95.46/12.82 ('#ty_enc9' @ (l_some @ frac) @ 95.46/12.82 ('#ty_enc10' @ 95.46/12.82 ('#ty_enc11' @ '#ty_enc16' @ 95.46/12.82 ('#ty_enc12' @ 95.46/12.82 ('#ty_enc13' @ '#ty_enc15' @ 95.46/12.82 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ '#sk1'))) @ 95.46/12.82 ('#ty_enc8' @ inf @ '#sk2'))) @ 95.46/12.82 lessf)))), 95.46/12.82 inference('remove_ty_args', [status(thm)], [zip_derived_cl654])). 95.46/12.82 thf(zip_derived_cl647, plain, 95.46/12.82 ( (is_of @ '#sk2' @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl646])). 95.46/12.82 thf(zip_derived_cl9362, plain, 95.46/12.82 ( (is_of @ '#sk2' @ 95.46/12.82 ('#ty_enc8' @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))), 95.46/12.82 inference('remove_ty_args', [status(thm)], [zip_derived_cl647])). 95.46/12.82 thf(satz81, axiom, 95.46/12.82 (all_of @ 95.46/12.82 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @ 95.46/12.82 ( ^[X0:$i]: 95.46/12.82 ( all_of @ 95.46/12.82 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @ 95.46/12.82 ( ^[X1:$i]: 95.46/12.82 ( orec3 @ 95.46/12.82 ( rt_is @ X0 @ X1 ) @ ( rt_more @ X0 @ X1 ) @ 95.46/12.82 ( rt_less @ X0 @ X1 ) ) ) ) ))). 95.46/12.82 thf(zip_derived_cl487, plain, 95.46/12.82 ( (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @ 95.46/12.82 (^[Y0 : $i]: 95.46/12.82 (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @ 95.46/12.82 (^[Y1 : $i]: 95.46/12.82 (orec3 @ (rt_is @ Y0 @ Y1) @ (rt_more @ Y0 @ Y1) @ 95.46/12.82 (rt_less @ Y0 @ Y1))))))), 95.46/12.82 inference('cnf', [status(esa)], [satz81])). 95.46/12.82 thf(zip_derived_cl488, plain, 95.46/12.82 ( (all_of @ ((('#C') @ in @ rat)) @ 95.46/12.82 ((('#B') @ (all_of @ ((('#C') @ in @ rat))) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#B') @ ((('#B') @ orec3)) @ rt_is)))) @ 95.46/12.82 rt_more)))) @ 95.46/12.82 rt_less)))))), 95.46/12.82 inference('lams2combs', [status(thm)], [zip_derived_cl487])). 95.46/12.82 thf(zip_derived_cl1692, plain, 95.46/12.82 ( (all_of @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 95.46/12.82 ((('#B') @ (all_of @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#B') @ ((('#B') @ orec3)) @ rt_is)))) @ 95.46/12.82 rt_more)))) @ 95.46/12.82 rt_less)))))), 95.46/12.82 inference('rw', [status(thm)], [zip_derived_cl488, '0', '1'])). 95.46/12.82 thf(def_all_of, axiom, (all_of @ X0 @ X1) => 95.46/12.82 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) = ($true))). 95.46/12.82 thf('15', plain, 95.46/12.82 (![X0:( $i > $o ),X1:( $i > $o )]: 95.46/12.82 ( ( all_of @ X0 @ X1 ) <=> 95.46/12.82 ( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) )), 95.46/12.82 inference('rw.lit', [status(esa)], [def_all_of])). 95.46/12.82 thf(zip_derived_cl1693, plain, 95.46/12.82 ( (((!!) @ (^[Y0 : $i]: 95.46/12.82 (((is_of @ Y0 @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 95.46/12.82 ((('#B') @ (all_of @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ 95.46/12.82 (anec @ frac @ n_eq))))) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#B') @ ((('#B') @ orec3)) @ 95.46/12.82 rt_is)))) @ 95.46/12.82 rt_more)))) @ 95.46/12.82 rt_less)) @ 95.46/12.82 Y0)))))))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl1692, '15'])). 95.46/12.82 thf(zip_derived_cl1694, plain, 95.46/12.82 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 95.46/12.82 ((('#C') @ is_of @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ 95.46/12.82 (anec @ frac @ n_eq)))))))) @ 95.46/12.82 ((('#B') @ (all_of @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#B') @ ((('#B') @ orec3)) @ 95.46/12.82 rt_is)))) @ 95.46/12.82 rt_more)))) @ 95.46/12.82 rt_less))))))))), 95.46/12.82 inference('comb-normalize', [status(thm)], [zip_derived_cl1693])). 95.46/12.82 thf(zip_derived_cl1695, plain, 95.46/12.82 (![X2 : $i]: 95.46/12.82 (((is_of @ X2 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 95.46/12.82 (all_of @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 95.46/12.82 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (rt_is @ X2))) @ 95.46/12.82 (rt_more @ X2))) @ 95.46/12.82 (rt_less @ X2))))))), 95.46/12.82 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1694])). 95.46/12.82 thf(zip_derived_cl1696, plain, 95.46/12.82 (![X2 : $i]: 95.46/12.82 (~ (is_of @ X2 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | (all_of @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @ 95.46/12.82 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (rt_is @ X2))) @ 95.46/12.82 (rt_more @ X2))) @ 95.46/12.82 (rt_less @ X2)))))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1695])). 95.46/12.82 thf(zip_derived_cl1697, plain, 95.46/12.82 (![X0 : $i]: 95.46/12.82 ( (((!!) @ (^[Y0 : $i]: 95.46/12.82 (((is_of @ Y0 @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 95.46/12.82 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (rt_is @ X0))) @ 95.46/12.82 (rt_more @ X0))) @ 95.46/12.82 (rt_less @ X0) @ Y0))))))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl1696, '15'])). 95.46/12.82 thf(zip_derived_cl1698, plain, 95.46/12.82 (![X0 : $i]: 95.46/12.82 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 95.46/12.82 ((('#C') @ is_of @ 95.46/12.82 ((('#C') @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ 95.46/12.82 (anec @ frac @ n_eq)))))))) @ 95.46/12.82 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (rt_is @ X0))) @ 95.46/12.82 (rt_more @ X0))) @ 95.46/12.82 (rt_less @ X0))))))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('comb-normalize', [status(thm)], [zip_derived_cl1697])). 95.46/12.82 thf(zip_derived_cl1699, plain, 95.46/12.82 (![X0 : $i, X2 : $i]: 95.46/12.82 ( (((is_of @ X2 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 95.46/12.82 (orec3 @ (rt_is @ X0 @ X2) @ (rt_more @ X0 @ X2) @ 95.46/12.82 (rt_less @ X0 @ X2)))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1698])). 95.46/12.82 thf(def_l_ec, axiom,(( l_ec @ (X0)@ (X1)) = ((imp @ X0 @ (d_not @ X1))))). 95.46/12.82 thf('16', plain, 95.46/12.82 (![X1:$o,X0:$o]: ( ( l_ec @ X0 @ X1 ) = ( imp @ X0 @ ( d_not @ X1 ) ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_d_and, axiom,(( d_and @ (X0)@ (X1)) = ((d_not @ (l_ec @ X0 @ X1))))). 95.46/12.82 thf('17', plain, 95.46/12.82 (![X1:$o,X0:$o]: ( ( d_and @ X0 @ X1 ) = ( d_not @ ( l_ec @ X0 @ X1 ) ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_or3, axiom,(( or3 @ (X0)@ (X1)@ (X2)) = 95.46/12.82 ((l_or @ X0 @ (l_or @ X1 @ X2))))). 95.46/12.82 thf('18', plain, 95.46/12.82 (![X2:$o,X1:$o,X0:$o]: 95.46/12.82 ( ( or3 @ X0 @ X1 @ X2 ) = ( l_or @ X0 @ ( l_or @ X1 @ X2 ) ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_and3, axiom,(( and3 @ (X0)@ (X1)@ (X2)) = 95.46/12.82 ((d_and @ X0 @ (d_and @ X1 @ X2))))). 95.46/12.82 thf('19', plain, 95.46/12.82 (![X2:$o,X1:$o,X0:$o]: 95.46/12.82 ( ( and3 @ X0 @ X1 @ X2 ) = ( d_and @ X0 @ ( d_and @ X1 @ X2 ) ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_ec3, axiom,(( ec3 @ (X0)@ (X1)@ (X2)) = 95.46/12.82 ((and3 @ (l_ec @ X0 @ X1) @ (l_ec @ X1 @ X2) @ (l_ec @ X2 @ X0))))). 95.46/12.82 thf('20', plain, 95.46/12.82 (![X2:$o,X1:$o,X0:$o]: 95.46/12.82 ( ( ec3 @ X0 @ X1 @ X2 ) = 95.46/12.82 ( and3 @ ( l_ec @ X0 @ X1 ) @ ( l_ec @ X1 @ X2 ) @ ( l_ec @ X2 @ X0 ) ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(def_orec3, axiom,(( orec3 @ (X0)@ (X1)@ (X2)) = 95.46/12.82 ((d_and @ (or3 @ X0 @ X1 @ X2) @ (ec3 @ X0 @ X1 @ X2))))). 95.46/12.82 thf('21', plain, 95.46/12.82 (![X2:$o,X1:$o,X0:$o]: 95.46/12.82 ( ( orec3 @ X0 @ X1 @ X2 ) = 95.46/12.82 ( d_and @ ( or3 @ X0 @ X1 @ X2 ) @ ( ec3 @ X0 @ X1 @ X2 ) ) )), 95.46/12.82 define([status(thm)])). 95.46/12.82 thf(zip_derived_cl1700, plain, 95.46/12.82 (![X0 : $i, X2 : $i]: 95.46/12.82 ( (((is_of @ X2 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) => 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ (imp @ (((X0) = (X2))) @ ($false)) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 lessf))))))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ (((X0) = (X2))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 (imp @ (((X0) = (X2))) @ ($false))) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('rw', [status(thm)], 95.46/12.82 [zip_derived_cl1699, '3', '3', '3', '3', '3', '3', '3', '3', 95.46/12.82 '3', '16', '16', '16', '16', '16', '16', '17', '17', '17', 95.46/12.82 '4', '4', '18', '19', '20', '21', '5', '6', '6', '0', '7', 95.46/12.82 '7', '1', '8', '9', '9', '10', '11'])). 95.46/12.82 thf(zip_derived_cl1701, plain, 95.46/12.82 (![X0 : $i, X2 : $i]: 95.46/12.82 (~ (is_of @ X2 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ (imp @ (((X0) = (X2))) @ ($false)) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 lessf))))))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ (((X0) = (X2))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X2)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 (imp @ (((X0) = (X2))) @ ($false))) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1700])). 95.46/12.82 thf(zip_derived_cl1702, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 ( (((imp @ 95.46/12.82 (imp @ (imp @ (((X0) = (X1))) @ ($false)) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ (((X0) = (X1))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 (imp @ (((X0) = (X1))) @ ($false))) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false))) => 95.46/12.82 ($false))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl1701, '14'])). 95.46/12.82 thf(zip_derived_cl1703, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 ( (((~) @ (imp @ 95.46/12.82 (imp @ (imp @ (((X0) = (X1))) @ ($false)) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ (((X0) = (X1))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 (imp @ (((X0) = (X1))) @ ($false))) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false))))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('simplify boolean subterms', [status(thm)], 95.46/12.82 [zip_derived_cl1702])). 95.46/12.82 thf(zip_derived_cl1704, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 (~ (imp @ 95.46/12.82 (imp @ (imp @ (((X0) = (X1))) @ ($false)) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ (((X0) = (X1))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 (imp @ (((X0) = (X1))) @ ($false))) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('simplify nested equalities', [status(thm)], 95.46/12.82 [zip_derived_cl1703])). 95.46/12.82 thf(zip_derived_cl1705, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 (~ (((imp @ (imp @ (((X1) = (X0))) @ ($false)) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 lessf))))))) => 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ (((X1) = (X0))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 ($false))) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 lessf))))) @ 95.46/12.82 (imp @ (((X1) = (X0))) @ ($false))) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false))) @ 95.46/12.82 ($false)) @ 95.46/12.82 ($false)))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl1704, '13'])). 95.46/12.82 thf(zip_derived_cl1706, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 ( (imp @ (imp @ (((X1) = (X0))) @ ($false)) @ 95.46/12.82 (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 lessf))))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1705])). 95.46/12.82 thf(zip_derived_cl1708, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 ( (((imp @ (((X1) = (X0))) @ ($false)) => (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 lessf)))))))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl1706, '14'])). 95.46/12.82 thf(zip_derived_cl1710, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 (~ (imp @ (((X1) = (X0))) @ ($false)) 95.46/12.82 | (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 lessf)))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1708])). 95.46/12.82 thf(zip_derived_cl1714, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 (~ (((((X1) = (X0))) => ($false))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 lessf)))))))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl1710, '13'])). 95.46/12.82 thf(zip_derived_cl1718, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 (~ (((~) @ (((X1) = (X0))))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 lessf)))))))), 95.46/12.82 inference('simplify boolean subterms', [status(thm)], 95.46/12.82 [zip_derived_cl1714])). 95.46/12.82 thf(zip_derived_cl1719, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 (((X1) = (X0)) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | (imp @ 95.46/12.82 (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 lessf)))))))), 95.46/12.82 inference('simplify nested equalities', [status(thm)], 95.46/12.82 [zip_derived_cl1718])). 95.46/12.82 thf(zip_derived_cl1720, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 ( (((imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) => (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ((X0) = (X1)))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl1719, '14'])). 95.46/12.82 thf(zip_derived_cl1723, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 (~ (imp @ 95.46/12.82 (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) @ 95.46/12.82 ($false)) 95.46/12.82 | (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))) 95.46/12.82 | ((X0) = (X1)) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))), 95.46/12.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1720])). 95.46/12.82 thf(zip_derived_cl1726, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 (~ (((l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) => 95.46/12.82 ($false))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ((X0) = (X1)) 95.46/12.82 | (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))))), 95.46/12.82 inference('rw_clause', [status(thm)], [zip_derived_cl1723, '13'])). 95.46/12.82 thf(zip_derived_cl1731, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 (~ (((~) @ (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ((X0) = (X1)) 95.46/12.82 | (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))))), 95.46/12.82 inference('simplify boolean subterms', [status(thm)], 95.46/12.82 [zip_derived_cl1726])). 95.46/12.82 thf(zip_derived_cl1732, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 ( (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 moref))))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) 95.46/12.82 | ((X0) = (X1)) 95.46/12.82 | (l_some @ frac @ 95.46/12.82 ((('#B') @ (l_some @ frac) @ 95.46/12.82 ((('#S') @ ((('#B') @ ('#S') @ 95.46/12.82 ((('#C') @ ((('#B') @ ('#B') @ 95.46/12.82 ((('#B') @ and3 @ 95.46/12.82 ((('#C') @ inf @ X0)))))) @ 95.46/12.82 ((('#C') @ inf @ X1)))))) @ 95.46/12.82 lessf))))))), 95.46/12.82 inference('simplify nested equalities', [status(thm)], 95.46/12.82 [zip_derived_cl1731])). 95.46/12.82 thf(zip_derived_cl9399, plain, 95.46/12.82 (![X0 : $i, X1 : $i]: 95.46/12.82 ( (l_some @ frac @ 95.46/12.82 ('#ty_enc9' @ (l_some @ frac) @ 95.46/12.82 ('#ty_enc10' @ 95.46/12.82 ('#ty_enc11' @ '#ty_enc16' @ 95.46/12.82 ('#ty_enc12' @ 95.46/12.82 ('#ty_enc13' @ '#ty_enc15' @ 95.46/12.82 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ X0))) @ 95.46/12.82 ('#ty_enc8' @ inf @ X1))) @ 95.46/12.82 moref))) 95.46/12.82 | ~ (is_of @ X0 @ 95.46/12.82 ('#ty_enc8' @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) 95.46/12.82 | ~ (is_of @ X1 @ 95.46/12.82 ('#ty_enc8' @ in @ 95.46/12.82 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) 95.46/12.82 | ((X0) = (X1)) 95.46/12.82 | (l_some @ frac @ 95.46/12.82 ('#ty_enc9' @ (l_some @ frac) @ 95.46/12.82 ('#ty_enc10' @ 95.46/12.82 ('#ty_enc11' @ '#ty_enc16' @ 95.46/12.82 ('#ty_enc12' @ 95.46/12.82 ('#ty_enc13' @ '#ty_enc15' @ 95.46/12.82 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ X0))) @ 95.46/12.82 ('#ty_enc8' @ inf @ X1))) @ 95.46/12.82 lessf))))), 95.46/12.82 inference('remove_ty_args', [status(thm)], [zip_derived_cl1732])). 95.46/12.82 thf(zip_derived_cl9495, plain, ($false), 95.46/12.82 inference('eprover', [status(thm)], 95.46/12.82 [zip_derived_cl658, zip_derived_cl9361, zip_derived_cl9364, 95.46/12.82 zip_derived_cl9363, zip_derived_cl9362, zip_derived_cl9399])). 95.46/12.82 95.46/12.82 % SZS output end Refutation 95.46/12.82 95.46/12.82 95.46/12.82 % Terminating... 95.86/12.94 % Runner terminated. 95.86/12.95 % Zipperpin 1.5 exiting 95.86/12.96 EOF