%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM790^4 : TPTP v9.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7vKAh5Uznx true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:48:22 PM UTC 2025
% Result : Theorem 133.63s 17.53s
% Output : Refutation 133.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM790^4 : TPTP v9.2.0. Released v7.1.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7vKAh5Uznx true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 16:23:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.43/0.58 % Total configuration time : 828
% 0.43/0.58 % Estimated wc time : 1656
% 0.43/0.58 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.68 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 9.65/1.78 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 133.63/17.53 % Solved by lams/40_b.comb.sh.
% 133.63/17.53 % done 0 iterations in 16.779s
% 133.63/17.53 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 133.63/17.53 % SZS output start Refutation
% 133.63/17.53 thf('#ty_enc15_type', type, '#ty_enc15': ($o > $o > $o) > ($i > $o) > $i > $o > $o).
% 133.63/17.53 thf(rt_is_type, type, rt_is: $i > $i > $o).
% 133.63/17.53 thf(lessf_type, type, lessf: $i > $i > $o).
% 133.63/17.53 thf(inf_type, type, inf: $i > $i > $o).
% 133.63/17.53 thf('#ty_enc9_type', type, '#ty_enc9': (($i > $o) > $o) > ($i > $i > $o) > $i > $o).
% 133.63/17.53 thf(rt_less_type, type, rt_less: $i > $i > $o).
% 133.63/17.53 thf(and3_type, type, and3: $o > $o > $o > $o).
% 133.63/17.53 thf(is_of_type, type, is_of: $i > ($i > $o) > $o).
% 133.63/17.53 thf(in_type, type, in: $i > $i > $o).
% 133.63/17.53 thf(l_some_type, type, l_some: $i > ($i > $o) > $o).
% 133.63/17.53 thf(d_Sep_type, type, d_Sep: $i > ($i > $o) > $i).
% 133.63/17.53 thf('#sk3_type', type, '#sk3': $i).
% 133.63/17.53 thf(rt_moreis_type, type, rt_moreis: $i > $i > $o).
% 133.63/17.53 thf('#ty_enc14_type', type, '#ty_enc14': ($o > $o > $o > $o) > ($i > $o) >
% 133.63/17.53 $i > $o > $o > $o).
% 133.63/17.53 thf(ect_type, type, ect: $i > ($i > $i > $o) > $i).
% 133.63/17.53 thf('#ty_enc13_type', type, '#ty_enc13': (($o > $o > $o) > ($i > $o) > $i >
% 133.63/17.53 $o > $o) >
% 133.63/17.53 ($i > $o > $o > $o) > $i >
% 133.63/17.53 ($i > $o) > $i > $o > $o).
% 133.63/17.53 thf(imp_type, type, imp: $o > $o > $o).
% 133.63/17.53 thf(rat_type, type, rat: $i).
% 133.63/17.53 thf(frac_type, type, frac: $i).
% 133.63/17.53 thf(e_in_type, type, e_in: $i > ($i > $o) > $i > $i).
% 133.63/17.53 thf('#ty_enc10_type', type, '#ty_enc10': ($i > ($i > $o) > $i > $o) >
% 133.63/17.53 ($i > $i > $o) > $i > $i > $o).
% 133.63/17.53 thf(n_eq_type, type, n_eq: $i > $i > $o).
% 133.63/17.53 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o).
% 133.63/17.53 thf('#ty_enc11_type', type, '#ty_enc11': (($i > $o > $o) > ($i > $o) > $i > $o) >
% 133.63/17.53 ($i > $i > $o > $o) > $i >
% 133.63/17.53 ($i > $o) > $i > $o).
% 133.63/17.53 thf(ecect_type, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 133.63/17.53 thf(anec_type, type, anec: $i > ($i > $i > $o) > $i > $o).
% 133.63/17.53 thf(l_or_type, type, l_or: $o > $o > $o).
% 133.63/17.53 thf(class_type, type, class: $i > $i).
% 133.63/17.53 thf(moref_type, type, moref: $i > $i > $o).
% 133.63/17.53 thf('#ty_enc8_type', type, '#ty_enc8': ($i > $i > $o) > $i > $i > $o).
% 133.63/17.53 thf('#ty_enc16_type', type, '#ty_enc16': ($i > $o > $o) > ($i > $o) > $i > $o).
% 133.63/17.53 thf(d_not_type, type, d_not: $o > $o).
% 133.63/17.53 thf(power_type, type, power: $i > $i).
% 133.63/17.53 thf('#sk2_type', type, '#sk2': $i).
% 133.63/17.53 thf('#ty_enc12_type', type, '#ty_enc12': ($i > ($i > $o) > $i > $o > $o) >
% 133.63/17.53 ($i > $o) > $i > $i > $o > $o).
% 133.63/17.53 thf(rt_more_type, type, rt_more: $i > $i > $o).
% 133.63/17.53 thf(e_is_type, type, e_is: $i > $i > $i > $o).
% 133.63/17.53 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 133.63/17.53 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 133.63/17.53 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 133.63/17.53 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 133.63/17.53 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 133.63/17.53 thf(satz81j, conjecture,
% 133.63/17.53 (all_of @
% 133.63/17.53 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @
% 133.63/17.53 ( ^[X0:$i]:
% 133.63/17.53 ( all_of @
% 133.63/17.53 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @
% 133.63/17.53 ( ^[X1:$i]:
% 133.63/17.53 ( ( d_not @ ( rt_moreis @ X0 @ X1 ) ) => ( rt_less @ X0 @ X1 ) ) ) ) ))).
% 133.63/17.53 thf(zf_stmt_0, negated_conjecture,
% 133.63/17.53 (~( all_of @
% 133.63/17.53 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @
% 133.63/17.53 ( ^[X0:$i]:
% 133.63/17.53 ( all_of @
% 133.63/17.53 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @
% 133.63/17.53 ( ^[X1:$i]:
% 133.63/17.53 ( ( d_not @ ( rt_moreis @ X0 @ X1 ) ) => ( rt_less @ X0 @ X1 ) ) ) ) ) )),
% 133.63/17.53 inference('cnf.neg', [status(esa)], [satz81j])).
% 133.63/17.53 thf(zip_derived_cl505, plain,
% 133.63/17.53 (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @
% 133.63/17.53 (^[Y0 : $i]:
% 133.63/17.53 (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @
% 133.63/17.53 (^[Y1 : $i]:
% 133.63/17.53 (((d_not @ (rt_moreis @ Y0 @ Y1)) => (rt_less @ Y0 @ Y1)))))))),
% 133.63/17.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 133.63/17.53 thf(zip_derived_cl506, plain,
% 133.63/17.53 (~ (all_of @ ((('#C') @ in @ rat)) @
% 133.63/17.53 ((('#B') @ (all_of @ ((('#C') @ in @ rat))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#B') @ ((('#B') @ (=>))) @
% 133.63/17.53 ((('#B') @ ((('#B') @ d_not)) @ rt_moreis)))))) @
% 133.63/17.53 rt_less)))))),
% 133.63/17.53 inference('lams2combs', [status(thm)], [zip_derived_cl505])).
% 133.63/17.53 thf(def_ect, axiom,(( ect @ (X0)@ (X1)) =
% 133.63/17.53 ((d_Sep @ (power @ X0) @ (anec @ X0 @ X1))))).
% 133.63/17.53 thf('0', plain,
% 133.63/17.53 (![X1:( $i > $i > $o ),X0:$i]:
% 133.63/17.53 ( ( ect @ X0 @ X1 ) = ( d_Sep @ ( power @ X0 ) @ ( anec @ X0 @ X1 ) ) )),
% 133.63/17.53 define([status(thm)])).
% 133.63/17.53 thf(def_rat, axiom,(( rat ) = ((ect @ frac @ n_eq)))).
% 133.63/17.53 thf('1', plain, (( rat ) = ( ect @ frac @ n_eq )), define([status(thm)])).
% 133.63/17.53 thf(zip_derived_cl642, plain,
% 133.63/17.53 (~ (all_of @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 133.63/17.53 ((('#B') @ (all_of @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#B') @ ((('#B') @ (=>))) @
% 133.63/17.53 ((('#B') @ ((('#B') @ d_not)) @ rt_moreis)))))) @
% 133.63/17.53 rt_less)))))),
% 133.63/17.53 inference('rw', [status(thm)], [zip_derived_cl506, '0', '1'])).
% 133.63/17.53 thf(def_all_of, axiom, ~ (all_of @ X0 @ X1) =>
% 133.63/17.53 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) != ($true))).
% 133.63/17.53 thf('2', plain,
% 133.63/17.53 (![X0:( $i > $o ),X1:( $i > $o )]:
% 133.63/17.53 ( ( ~( all_of @ X0 @ X1 ) ) <=>
% 133.63/17.53 ( ~( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) ) )),
% 133.63/17.53 inference('rw.lit', [status(esa)], [def_all_of])).
% 133.63/17.53 thf(zip_derived_cl643, plain,
% 133.63/17.53 (~ (((!!) @ (^[Y0 : $i]:
% 133.63/17.53 (((is_of @ Y0 @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 133.63/17.53 ((('#B') @ (all_of @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @
% 133.63/17.53 (anec @ frac @ n_eq))))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#B') @ ((('#B') @ (=>))) @
% 133.63/17.53 ((('#B') @ ((('#B') @ d_not)) @
% 133.63/17.53 rt_moreis)))))) @
% 133.63/17.53 rt_less)) @
% 133.63/17.53 Y0)))))))),
% 133.63/17.53 inference('rw_clause', [status(thm)], [zip_derived_cl642, '2'])).
% 133.63/17.53 thf(zip_derived_cl644, plain,
% 133.63/17.53 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 133.63/17.53 ((('#C') @ is_of @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @
% 133.63/17.53 (anec @ frac @ n_eq)))))))) @
% 133.63/17.53 ((('#B') @ (all_of @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @
% 133.63/17.53 (anec @ frac @ n_eq))))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#B') @ ((('#B') @ (=>))) @
% 133.63/17.53 ((('#B') @ ((('#B') @ d_not)) @ rt_moreis)))))) @
% 133.63/17.53 rt_less))))))))),
% 133.63/17.53 inference('comb-normalize', [status(thm)], [zip_derived_cl643])).
% 133.63/17.53 thf(zip_derived_cl645, plain,
% 133.63/17.53 (~ (((is_of @ '#sk2' @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 133.63/17.53 (all_of @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ (=>) @
% 133.63/17.53 ((('#B') @ d_not @ (rt_moreis @ '#sk2'))))) @
% 133.63/17.53 (rt_less @ '#sk2'))))))),
% 133.63/17.53 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl644])).
% 133.63/17.53 thf(zip_derived_cl647, plain,
% 133.63/17.53 (~ (all_of @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ (=>) @
% 133.63/17.53 ((('#B') @ d_not @ (rt_moreis @ '#sk2'))))) @
% 133.63/17.53 (rt_less @ '#sk2'))))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl645])).
% 133.63/17.53 thf(zip_derived_cl648, plain,
% 133.63/17.53 (~ (((!!) @ (^[Y0 : $i]:
% 133.63/17.53 (((is_of @ Y0 @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 133.63/17.53 ((('#S') @ ((('#B') @ (=>) @
% 133.63/17.53 ((('#B') @ d_not @ (rt_moreis @ '#sk2'))))) @
% 133.63/17.53 (rt_less @ '#sk2') @ Y0)))))))),
% 133.63/17.53 inference('rw_clause', [status(thm)], [zip_derived_cl647, '2'])).
% 133.63/17.53 thf(zip_derived_cl649, plain,
% 133.63/17.53 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 133.63/17.53 ((('#C') @ is_of @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @
% 133.63/17.53 (anec @ frac @ n_eq)))))))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ (=>) @
% 133.63/17.53 ((('#B') @ d_not @ (rt_moreis @ '#sk2'))))) @
% 133.63/17.53 (rt_less @ '#sk2')))))))),
% 133.63/17.53 inference('comb-normalize', [status(thm)], [zip_derived_cl648])).
% 133.63/17.53 thf(zip_derived_cl650, plain,
% 133.63/17.53 (~ (((is_of @ '#sk3' @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 133.63/17.53 (((d_not @ (rt_moreis @ '#sk2' @ '#sk3')) => (rt_less @ '#sk2' @
% 133.63/17.53 '#sk3')))))),
% 133.63/17.53 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl649])).
% 133.63/17.53 thf(def_d_not, axiom,(( d_not @ (X0)) = ((imp @ X0 @ ($false))))).
% 133.63/17.53 thf('3', plain, (![X0:$o]: ( ( d_not @ X0 ) = ( imp @ X0 @ $false ) )),
% 133.63/17.53 define([status(thm)])).
% 133.63/17.53 thf(def_l_or, axiom,(( l_or @ (X0)@ (X1)) = ((imp @ (d_not @ X0) @ X1)))).
% 133.63/17.53 thf('4', plain,
% 133.63/17.53 (![X1:$o,X0:$o]: ( ( l_or @ X0 @ X1 ) = ( imp @ ( d_not @ X0 ) @ X1 ) )),
% 133.63/17.53 define([status(thm)])).
% 133.63/17.53 thf(def_e_is, axiom,(( e_is @ (X2)@ (X0)@ (X1)) = ((((X0) = (X1)))))).
% 133.63/17.53 thf('5', plain,
% 133.63/17.53 (![X2:$i,X1:$i,X0:$i]: ( ( e_is @ X2 @ X0 @ X1 ) = ( ( X0 ) = ( X1 ) ) )),
% 133.63/17.53 define([status(thm)])).
% 133.63/17.53 thf(def_e_in, axiom,(( e_in @ (X1)@ (X2)@ (X0)) = ((X0)))).
% 133.63/17.53 thf('6', plain,
% 133.63/17.53 (![X2:( $i > $o ),X1:$i,X0:$i]: ( ( e_in @ X1 @ X2 @ X0 ) = ( X0 ) )),
% 133.63/17.53 define([status(thm)])).
% 133.63/17.53 thf(def_ecect, axiom,(( ecect @ (X0)@ (X1)@ (X2)) =
% 133.63/17.53 ((e_in @ (power @ X0) @ (anec @ X0 @ X1) @ X2)))).
% 133.63/17.53 thf('7', plain,
% 133.63/17.53 (![X2:$i,X1:( $i > $i > $o ),X0:$i]:
% 133.63/17.53 ( ( ecect @ X0 @ X1 @ X2 ) =
% 133.63/17.53 ( e_in @ ( power @ X0 ) @ ( anec @ X0 @ X1 ) @ X2 ) )),
% 133.63/17.53 define([status(thm)])).
% 133.63/17.53 thf(def_rt_is, axiom,(( rt_is @ (X0)@ (X1)) = ((e_is @ rat @ X0 @ X1)))).
% 133.63/17.53 thf('8', plain,
% 133.63/17.53 (![X1:$i,X0:$i]: ( ( rt_is @ X0 @ X1 ) = ( e_is @ rat @ X0 @ X1 ) )),
% 133.63/17.53 define([status(thm)])).
% 133.63/17.53 thf(def_class, axiom,(( class @ (X0)) = ((ecect @ frac @ n_eq @ X0)))).
% 133.63/17.53 thf('9', plain,
% 133.63/17.53 (![X0:$i]: ( ( class @ X0 ) = ( ecect @ frac @ n_eq @ X0 ) )),
% 133.63/17.53 define([status(thm)])).
% 133.63/17.53 thf(def_rt_more, axiom,(( rt_more @ (X0)@ (X1)) =
% 133.63/17.53 ((l_some @ frac @
% 133.63/17.53 (^[Y0 : $i]:
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 (^[Y1 : $i]:
% 133.63/17.53 (and3 @ (inf @ Y0 @ (class @ X0)) @ (inf @ Y1 @ (class @ X1)) @
% 133.63/17.53 (moref @ Y0 @ Y1))))))))).
% 133.63/17.53 thf('10', plain,
% 133.63/17.53 (![X1:$i,X0:$i]:
% 133.63/17.53 ( ( rt_more @ X0 @ X1 ) =
% 133.63/17.53 ( l_some @
% 133.63/17.53 frac @
% 133.63/17.53 ( ^[V_1:$i]:
% 133.63/17.53 ( l_some @
% 133.63/17.53 frac @
% 133.63/17.53 ( ^[V_2:$i]:
% 133.63/17.53 ( and3 @
% 133.63/17.53 ( inf @ V_1 @ ( class @ X0 ) ) @
% 133.63/17.53 ( inf @ V_2 @ ( class @ X1 ) ) @ ( moref @ V_1 @ V_2 ) ) ) ) ) ) )),
% 133.63/17.53 define([status(thm)])).
% 133.63/17.53 thf(def_rt_less, axiom,(( rt_less @ (X0)@ (X1)) =
% 133.63/17.53 ((l_some @ frac @
% 133.63/17.53 (^[Y0 : $i]:
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 (^[Y1 : $i]:
% 133.63/17.53 (and3 @ (inf @ Y0 @ (class @ X0)) @ (inf @ Y1 @ (class @ X1)) @
% 133.63/17.53 (lessf @ Y0 @ Y1))))))))).
% 133.63/17.53 thf('11', plain,
% 133.63/17.53 (![X1:$i,X0:$i]:
% 133.63/17.53 ( ( rt_less @ X0 @ X1 ) =
% 133.63/17.53 ( l_some @
% 133.63/17.53 frac @
% 133.63/17.53 ( ^[V_1:$i]:
% 133.63/17.53 ( l_some @
% 133.63/17.53 frac @
% 133.63/17.53 ( ^[V_2:$i]:
% 133.63/17.53 ( and3 @
% 133.63/17.53 ( inf @ V_1 @ ( class @ X0 ) ) @
% 133.63/17.53 ( inf @ V_2 @ ( class @ X1 ) ) @ ( lessf @ V_1 @ V_2 ) ) ) ) ) ) )),
% 133.63/17.53 define([status(thm)])).
% 133.63/17.53 thf(def_rt_moreis, axiom,(( rt_moreis @ (X0)@ (X1)) =
% 133.63/17.53 ((l_or @ (rt_more @ X0 @ X1) @ (rt_is @ X0 @ X1))))).
% 133.63/17.53 thf('12', plain,
% 133.63/17.53 (![X1:$i,X0:$i]:
% 133.63/17.53 ( ( rt_moreis @ X0 @ X1 ) =
% 133.63/17.53 ( l_or @ ( rt_more @ X0 @ X1 ) @ ( rt_is @ X0 @ X1 ) ) )),
% 133.63/17.53 define([status(thm)])).
% 133.63/17.53 thf(zip_derived_cl651, plain,
% 133.63/17.53 (~ (((is_of @ '#sk3' @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 133.63/17.53 (((imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 ((('#sk2') = ('#sk3')))) @
% 133.63/17.53 ($false)) => (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 lessf)))))))))),
% 133.63/17.53 inference('rw', [status(thm)],
% 133.63/17.53 [zip_derived_cl650, '3', '3', '4', '5', '6', '6', '0', '7',
% 133.63/17.53 '7', '1', '8', '9', '9', '10', '11', '12'])).
% 133.63/17.53 thf(zip_derived_cl653, plain,
% 133.63/17.53 (~ (((imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 ((('#sk2') = ('#sk3')))) @
% 133.63/17.53 ($false)) => (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 lessf)))))))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl651])).
% 133.63/17.53 thf(zip_derived_cl654, plain,
% 133.63/17.53 ( (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 ((('#sk2') = ('#sk3')))) @
% 133.63/17.53 ($false))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl653])).
% 133.63/17.53 thf(def_imp, axiom, (imp @ X0 @ X1) => ((((X0) => (X1))) = ($true))).
% 133.63/17.53 thf('13', plain,
% 133.63/17.53 (![X0:$o,X1:$o]: ( ( imp @ X0 @ X1 ) <=> ( ( X0 ) => ( X1 ) ) )),
% 133.63/17.53 inference('rw.lit', [status(esa)], [def_imp])).
% 133.63/17.53 thf(zip_derived_cl656, plain,
% 133.63/17.53 ( (((imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 ((('#sk2') = ('#sk3')))) => ($false)))),
% 133.63/17.53 inference('rw_clause', [status(thm)], [zip_derived_cl654, '13'])).
% 133.63/17.53 thf(zip_derived_cl657, plain,
% 133.63/17.53 ( (((~) @ (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 ((('#sk2') = ('#sk3'))))))),
% 133.63/17.53 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl656])).
% 133.63/17.53 thf(zip_derived_cl658, plain,
% 133.63/17.53 (~ (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 ((('#sk2') = ('#sk3'))))),
% 133.63/17.53 inference('simplify nested equalities', [status(thm)],
% 133.63/17.53 [zip_derived_cl657])).
% 133.63/17.53 thf(def_imp, axiom, ~ (imp @ X0 @ X1) => ((((X0) => (X1))) != ($true))).
% 133.63/17.53 thf('14', plain,
% 133.63/17.53 (![X0:$o,X1:$o]: ( ( ~( imp @ X0 @ X1 ) ) <=> ( ~( ( X0 ) => ( X1 ) ) ) )),
% 133.63/17.53 inference('rw.lit', [status(esa)], [def_imp])).
% 133.63/17.53 thf(zip_derived_cl659, plain,
% 133.63/17.53 (~ (((imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) => ((('#sk2') = ('#sk3')))))),
% 133.63/17.53 inference('rw_clause', [status(thm)], [zip_derived_cl658, '14'])).
% 133.63/17.53 thf(zip_derived_cl661, plain, (~ ((('#sk2') = ('#sk3')))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl659])).
% 133.63/17.53 thf(zip_derived_cl663, plain, ((('#sk2') != ('#sk3'))),
% 133.63/17.53 inference('simplify nested equalities', [status(thm)],
% 133.63/17.53 [zip_derived_cl661])).
% 133.63/17.53 thf(zip_derived_cl646, plain,
% 133.63/17.53 ( (is_of @ '#sk2' @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl645])).
% 133.63/17.53 thf(zip_derived_cl5078, plain,
% 133.63/17.53 ( (is_of @ '#sk2' @
% 133.63/17.53 ('#ty_enc8' @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))),
% 133.63/17.53 inference('remove_ty_args', [status(thm)], [zip_derived_cl646])).
% 133.63/17.53 thf(zip_derived_cl652, plain,
% 133.63/17.53 ( (is_of @ '#sk3' @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl651])).
% 133.63/17.53 thf(zip_derived_cl5079, plain,
% 133.63/17.53 ( (is_of @ '#sk3' @
% 133.63/17.53 ('#ty_enc8' @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))),
% 133.63/17.53 inference('remove_ty_args', [status(thm)], [zip_derived_cl652])).
% 133.63/17.53 thf(zip_derived_cl655, plain,
% 133.63/17.53 (~ (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 lessf)))))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl653])).
% 133.63/17.53 thf(zip_derived_cl5080, plain,
% 133.63/17.53 (~ (l_some @ frac @
% 133.63/17.53 ('#ty_enc9' @ (l_some @ frac) @
% 133.63/17.53 ('#ty_enc10' @
% 133.63/17.53 ('#ty_enc11' @ '#ty_enc16' @
% 133.63/17.53 ('#ty_enc12' @
% 133.63/17.53 ('#ty_enc13' @ '#ty_enc15' @
% 133.63/17.53 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ '#sk2'))) @
% 133.63/17.53 ('#ty_enc8' @ inf @ '#sk3'))) @
% 133.63/17.53 lessf)))),
% 133.63/17.53 inference('remove_ty_args', [status(thm)], [zip_derived_cl655])).
% 133.63/17.53 thf(zip_derived_cl660, plain,
% 133.63/17.53 ( (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl659])).
% 133.63/17.53 thf(zip_derived_cl662, plain,
% 133.63/17.53 ( (((l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 moref))))) =>
% 133.63/17.53 ($false)))),
% 133.63/17.53 inference('rw_clause', [status(thm)], [zip_derived_cl660, '13'])).
% 133.63/17.53 thf(zip_derived_cl664, plain,
% 133.63/17.53 ( (((~) @ (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 moref)))))))),
% 133.63/17.53 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl662])).
% 133.63/17.53 thf(zip_derived_cl665, plain,
% 133.63/17.53 (~ (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ '#sk2')))))) @
% 133.63/17.53 ((('#C') @ inf @ '#sk3')))))) @
% 133.63/17.53 moref)))))),
% 133.63/17.53 inference('simplify nested equalities', [status(thm)],
% 133.63/17.53 [zip_derived_cl664])).
% 133.63/17.53 thf(zip_derived_cl5081, plain,
% 133.63/17.53 (~ (l_some @ frac @
% 133.63/17.53 ('#ty_enc9' @ (l_some @ frac) @
% 133.63/17.53 ('#ty_enc10' @
% 133.63/17.53 ('#ty_enc11' @ '#ty_enc16' @
% 133.63/17.53 ('#ty_enc12' @
% 133.63/17.53 ('#ty_enc13' @ '#ty_enc15' @
% 133.63/17.53 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ '#sk2'))) @
% 133.63/17.53 ('#ty_enc8' @ inf @ '#sk3'))) @
% 133.63/17.53 moref)))),
% 133.63/17.53 inference('remove_ty_args', [status(thm)], [zip_derived_cl665])).
% 133.63/17.53 thf(satz81f, axiom,
% 133.63/17.53 (all_of @
% 133.63/17.53 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @
% 133.63/17.53 ( ^[X0:$i]:
% 133.63/17.53 ( all_of @
% 133.63/17.53 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @
% 133.63/17.53 ( ^[X1:$i]:
% 133.63/17.53 ( ( d_not @ ( rt_less @ X0 @ X1 ) ) => ( rt_moreis @ X0 @ X1 ) ) ) ) ))).
% 133.63/17.53 thf(zip_derived_cl501, plain,
% 133.63/17.53 ( (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @
% 133.63/17.53 (^[Y0 : $i]:
% 133.63/17.53 (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @
% 133.63/17.53 (^[Y1 : $i]:
% 133.63/17.53 (((d_not @ (rt_less @ Y0 @ Y1)) => (rt_moreis @ Y0 @ Y1)))))))),
% 133.63/17.53 inference('cnf', [status(esa)], [satz81f])).
% 133.63/17.53 thf(zip_derived_cl502, plain,
% 133.63/17.53 ( (all_of @ ((('#C') @ in @ rat)) @
% 133.63/17.53 ((('#B') @ (all_of @ ((('#C') @ in @ rat))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#B') @ ((('#B') @ (=>))) @
% 133.63/17.53 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @
% 133.63/17.53 rt_moreis)))))),
% 133.63/17.53 inference('lams2combs', [status(thm)], [zip_derived_cl501])).
% 133.63/17.53 thf(zip_derived_cl1023, plain,
% 133.63/17.53 ( (all_of @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 133.63/17.53 ((('#B') @ (all_of @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#B') @ ((('#B') @ (=>))) @
% 133.63/17.53 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @
% 133.63/17.53 rt_moreis)))))),
% 133.63/17.53 inference('rw', [status(thm)], [zip_derived_cl502, '0', '1'])).
% 133.63/17.53 thf(def_all_of, axiom, (all_of @ X0 @ X1) =>
% 133.63/17.53 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) = ($true))).
% 133.63/17.53 thf('15', plain,
% 133.63/17.53 (![X0:( $i > $o ),X1:( $i > $o )]:
% 133.63/17.53 ( ( all_of @ X0 @ X1 ) <=>
% 133.63/17.53 ( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) )),
% 133.63/17.53 inference('rw.lit', [status(esa)], [def_all_of])).
% 133.63/17.53 thf(zip_derived_cl1024, plain,
% 133.63/17.53 ( (((!!) @ (^[Y0 : $i]:
% 133.63/17.53 (((is_of @ Y0 @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 133.63/17.53 ((('#B') @ (all_of @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @
% 133.63/17.53 (anec @ frac @ n_eq))))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#B') @ ((('#B') @ (=>))) @
% 133.63/17.53 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @
% 133.63/17.53 rt_moreis)) @
% 133.63/17.53 Y0)))))))),
% 133.63/17.53 inference('rw_clause', [status(thm)], [zip_derived_cl1023, '15'])).
% 133.63/17.53 thf(zip_derived_cl1025, plain,
% 133.63/17.53 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 133.63/17.53 ((('#C') @ is_of @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @
% 133.63/17.53 (anec @ frac @ n_eq)))))))) @
% 133.63/17.53 ((('#B') @ (all_of @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#B') @ ((('#B') @ (=>))) @
% 133.63/17.53 ((('#B') @ ((('#B') @ d_not)) @ rt_less)))))) @
% 133.63/17.53 rt_moreis))))))))),
% 133.63/17.53 inference('comb-normalize', [status(thm)], [zip_derived_cl1024])).
% 133.63/17.53 thf(zip_derived_cl1026, plain,
% 133.63/17.53 (![X2 : $i]:
% 133.63/17.53 (((is_of @ X2 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 133.63/17.53 (all_of @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ (=>) @ ((('#B') @ d_not @ (rt_less @ X2))))) @
% 133.63/17.53 (rt_moreis @ X2))))))),
% 133.63/17.53 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1025])).
% 133.63/17.53 thf(zip_derived_cl1027, plain,
% 133.63/17.53 (![X2 : $i]:
% 133.63/17.53 (~ (is_of @ X2 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | (all_of @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ (=>) @ ((('#B') @ d_not @ (rt_less @ X2))))) @
% 133.63/17.53 (rt_moreis @ X2)))))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1026])).
% 133.63/17.53 thf(zip_derived_cl1028, plain,
% 133.63/17.53 (![X0 : $i]:
% 133.63/17.53 ( (((!!) @ (^[Y0 : $i]:
% 133.63/17.53 (((is_of @ Y0 @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 133.63/17.53 ((('#S') @ ((('#B') @ (=>) @
% 133.63/17.53 ((('#B') @ d_not @ (rt_less @ X0))))) @
% 133.63/17.53 (rt_moreis @ X0) @ Y0)))))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 133.63/17.53 inference('rw_clause', [status(thm)], [zip_derived_cl1027, '15'])).
% 133.63/17.53 thf(zip_derived_cl1029, plain,
% 133.63/17.53 (![X0 : $i]:
% 133.63/17.53 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 133.63/17.53 ((('#C') @ is_of @
% 133.63/17.53 ((('#C') @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @
% 133.63/17.53 (anec @ frac @ n_eq)))))))) @
% 133.63/17.53 ((('#S') @ ((('#B') @ (=>) @
% 133.63/17.53 ((('#B') @ d_not @ (rt_less @ X0))))) @
% 133.63/17.53 (rt_moreis @ X0)))))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 133.63/17.53 inference('comb-normalize', [status(thm)], [zip_derived_cl1028])).
% 133.63/17.53 thf(zip_derived_cl1030, plain,
% 133.63/17.53 (![X0 : $i, X2 : $i]:
% 133.63/17.53 ( (((is_of @ X2 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 133.63/17.53 (((d_not @ (rt_less @ X0 @ X2)) => (rt_moreis @ X0 @ X2)))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 133.63/17.53 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1029])).
% 133.63/17.53 thf(zip_derived_cl1031, plain,
% 133.63/17.53 (![X0 : $i, X2 : $i]:
% 133.63/17.53 ( (((is_of @ X2 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 133.63/17.53 (((imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X2)))))) @
% 133.63/17.53 lessf))))) @
% 133.63/17.53 ($false)) => (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X2)))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 (((X0) = (X2))))))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 133.63/17.53 inference('rw', [status(thm)],
% 133.63/17.53 [zip_derived_cl1030, '3', '3', '4', '5', '6', '6', '0', '7',
% 133.63/17.53 '7', '1', '8', '9', '9', '10', '11', '12'])).
% 133.63/17.53 thf(zip_derived_cl1032, plain,
% 133.63/17.53 (![X0 : $i, X2 : $i]:
% 133.63/17.53 (~ (is_of @ X2 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | (((imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X2)))))) @
% 133.63/17.53 lessf))))) @
% 133.63/17.53 ($false)) => (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X2)))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 (((X0) = (X2))))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1031])).
% 133.63/17.53 thf(zip_derived_cl1033, plain,
% 133.63/17.53 (![X0 : $i, X2 : $i]:
% 133.63/17.53 (~ (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X2)))))) @
% 133.63/17.53 lessf))))) @
% 133.63/17.53 ($false))
% 133.63/17.53 | (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X2)))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 (((X0) = (X2))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | ~ (is_of @ X2 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1032])).
% 133.63/17.53 thf(zip_derived_cl1034, plain,
% 133.63/17.53 (![X0 : $i, X1 : $i]:
% 133.63/17.53 (~ (((l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 lessf))))) =>
% 133.63/17.53 ($false)))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | ~ (is_of @ X1 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 (((X1) = (X0)))))),
% 133.63/17.53 inference('rw_clause', [status(thm)], [zip_derived_cl1033, '14'])).
% 133.63/17.53 thf(zip_derived_cl1035, plain,
% 133.63/17.53 (![X0 : $i, X1 : $i]:
% 133.63/17.53 (~ (((~) @ (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 lessf)))))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | ~ (is_of @ X1 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 (((X1) = (X0)))))),
% 133.63/17.53 inference('simplify boolean subterms', [status(thm)],
% 133.63/17.53 [zip_derived_cl1034])).
% 133.63/17.53 thf(zip_derived_cl1036, plain,
% 133.63/17.53 (![X0 : $i, X1 : $i]:
% 133.63/17.53 ( (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @ ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 lessf)))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | ~ (is_of @ X1 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | (imp @
% 133.63/17.53 (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) @
% 133.63/17.53 (((X1) = (X0)))))),
% 133.63/17.53 inference('simplify nested equalities', [status(thm)],
% 133.63/17.53 [zip_derived_cl1035])).
% 133.63/17.53 thf(zip_derived_cl1037, plain,
% 133.63/17.53 (![X0 : $i, X1 : $i]:
% 133.63/17.53 ( (((imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false)) => (((X0) = (X1)))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | ~ (is_of @ X1 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 lessf))))))),
% 133.63/17.53 inference('rw_clause', [status(thm)], [zip_derived_cl1036, '13'])).
% 133.63/17.53 thf(zip_derived_cl1038, plain,
% 133.63/17.53 (![X0 : $i, X1 : $i]:
% 133.63/17.53 (~ (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false))
% 133.63/17.53 | (((X0) = (X1)))
% 133.63/17.53 | (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 lessf)))))
% 133.63/17.53 | ~ (is_of @ X1 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 133.63/17.53 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1037])).
% 133.63/17.53 thf(zip_derived_cl1039, plain,
% 133.63/17.53 (![X0 : $i, X1 : $i]:
% 133.63/17.53 (~ (imp @
% 133.63/17.53 (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 moref))))) @
% 133.63/17.53 ($false))
% 133.63/17.53 | ((X0) = (X1))
% 133.63/17.53 | (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 lessf)))))
% 133.63/17.53 | ~ (is_of @ X1 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 133.63/17.53 inference('simplify nested equalities', [status(thm)],
% 133.63/17.53 [zip_derived_cl1038])).
% 133.63/17.53 thf(zip_derived_cl1040, plain,
% 133.63/17.53 (![X0 : $i, X1 : $i]:
% 133.63/17.53 (~ (((l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 moref))))) =>
% 133.63/17.53 ($false)))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | ~ (is_of @ X1 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 lessf)))))
% 133.63/17.53 | ((X0) = (X1)))),
% 133.63/17.53 inference('rw_clause', [status(thm)], [zip_derived_cl1039, '14'])).
% 133.63/17.53 thf(zip_derived_cl1041, plain,
% 133.63/17.53 (![X0 : $i, X1 : $i]:
% 133.63/17.53 (~ (((~) @ (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 moref)))))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | ~ (is_of @ X1 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 lessf)))))
% 133.63/17.53 | ((X0) = (X1)))),
% 133.63/17.53 inference('simplify boolean subterms', [status(thm)],
% 133.63/17.53 [zip_derived_cl1040])).
% 133.63/17.53 thf(zip_derived_cl1042, plain,
% 133.63/17.53 (![X0 : $i, X1 : $i]:
% 133.63/17.53 ( (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @ ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 moref)))))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | ~ (is_of @ X1 @
% 133.63/17.53 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 133.63/17.53 | (l_some @ frac @
% 133.63/17.53 ((('#B') @ (l_some @ frac) @
% 133.63/17.53 ((('#S') @ ((('#B') @ ('#S') @
% 133.63/17.53 ((('#C') @ ((('#B') @ ('#B') @
% 133.63/17.53 ((('#B') @ and3 @
% 133.63/17.53 ((('#C') @ inf @ X0)))))) @
% 133.63/17.53 ((('#C') @ inf @ X1)))))) @
% 133.63/17.53 lessf)))))
% 133.63/17.53 | ((X0) = (X1)))),
% 133.63/17.53 inference('simplify nested equalities', [status(thm)],
% 133.63/17.53 [zip_derived_cl1041])).
% 133.63/17.53 thf(zip_derived_cl5103, plain,
% 133.63/17.53 (![X0 : $i, X1 : $i]:
% 133.63/17.53 ( (l_some @ frac @
% 133.63/17.53 ('#ty_enc9' @ (l_some @ frac) @
% 133.63/17.53 ('#ty_enc10' @
% 133.63/17.53 ('#ty_enc11' @ '#ty_enc16' @
% 133.63/17.53 ('#ty_enc12' @
% 133.63/17.53 ('#ty_enc13' @ '#ty_enc15' @
% 133.63/17.53 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ X0))) @
% 133.63/17.53 ('#ty_enc8' @ inf @ X1))) @
% 133.63/17.53 moref)))
% 133.63/17.53 | ~ (is_of @ X0 @
% 133.63/17.53 ('#ty_enc8' @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))
% 133.63/17.53 | ~ (is_of @ X1 @
% 133.63/17.53 ('#ty_enc8' @ in @
% 133.63/17.53 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))
% 133.63/17.53 | (l_some @ frac @
% 133.63/17.53 ('#ty_enc9' @ (l_some @ frac) @
% 133.63/17.53 ('#ty_enc10' @
% 133.63/17.53 ('#ty_enc11' @ '#ty_enc16' @
% 133.63/17.53 ('#ty_enc12' @
% 133.63/17.53 ('#ty_enc13' @ '#ty_enc15' @
% 133.63/17.53 ('#ty_enc14' @ and3 @ ('#ty_enc8' @ inf @ X0))) @
% 133.63/17.53 ('#ty_enc8' @ inf @ X1))) @
% 133.63/17.53 lessf)))
% 133.63/17.53 | ((X0) = (X1)))),
% 133.63/17.53 inference('remove_ty_args', [status(thm)], [zip_derived_cl1042])).
% 133.63/17.53 thf(zip_derived_cl5207, plain, ($false),
% 133.63/17.53 inference('eprover', [status(thm)],
% 133.63/17.53 [zip_derived_cl663, zip_derived_cl5078, zip_derived_cl5079,
% 133.63/17.53 zip_derived_cl5080, zip_derived_cl5081, zip_derived_cl5103])).
% 133.63/17.53
% 133.63/17.53 % SZS output end Refutation
% 133.63/17.53
% 133.63/17.53
% 133.63/17.53 % Terminating...
% 133.63/17.66 % Runner terminated.
% 133.63/17.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------