TSTP Solution File: NUM795^4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM795^4 : TPTP v8.1.2. Released v7.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oFY3DloFNV true
% Computer : n025.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 Aug 31 12:44:14 EDT 2023
% Result : Theorem 101.45s 13.88s
% Output : Refutation 101.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM795^4 : TPTP v8.1.2. Released v7.1.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oFY3DloFNV true
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 14:19:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.20/0.63 % Total configuration time : 828
% 0.20/0.63 % Estimated wc time : 1656
% 0.20/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 101.45/13.88 % Solved by lams/40_b.comb.sh.
% 101.45/13.88 % done 46 iterations in 13.005s
% 101.45/13.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 101.45/13.88 % SZS output start Refutation
% 101.45/13.88 thf(rt_is_type, type, rt_is: $i > $i > $o).
% 101.45/13.88 thf('#ty_enc10_type', type, '#ty_enc10': (($i > $o) > $o) > ($i > $i > $o) >
% 101.45/13.88 $i > $o).
% 101.45/13.88 thf(lessf_type, type, lessf: $i > $i > $o).
% 101.45/13.88 thf(inf_type, type, inf: $i > $i > $o).
% 101.45/13.88 thf('#ty_enc9_type', type, '#ty_enc9': ($i > $i > $o) > $i > $i > $o).
% 101.45/13.88 thf('#ty_enc13_type', type, '#ty_enc13': ($i > ($i > $o) > $i > $o > $o) >
% 101.45/13.88 ($i > $o) > $i > $i > $o > $o).
% 101.45/13.88 thf(rt_less_type, type, rt_less: $i > $i > $o).
% 101.45/13.88 thf(and3_type, type, and3: $o > $o > $o > $o).
% 101.45/13.88 thf(is_of_type, type, is_of: $i > ($i > $o) > $o).
% 101.45/13.88 thf(in_type, type, in: $i > $i > $o).
% 101.45/13.88 thf('#ty_enc16_type', type, '#ty_enc16': ($o > $o > $o) > ($i > $o) > $i > $o > $o).
% 101.45/13.88 thf(l_some_type, type, l_some: $i > ($i > $o) > $o).
% 101.45/13.88 thf('#sk5_type', type, '#sk5': $i).
% 101.45/13.88 thf('#sk7_type', type, '#sk7': $i).
% 101.45/13.88 thf('#ty_enc12_type', type, '#ty_enc12': (($i > $o > $o) > ($i > $o) > $i > $o) >
% 101.45/13.88 ($i > $i > $o > $o) > $i >
% 101.45/13.88 ($i > $o) > $i > $o).
% 101.45/13.88 thf('#ty_enc11_type', type, '#ty_enc11': ($i > ($i > $o) > $i > $o) >
% 101.45/13.88 ($i > $i > $o) > $i > $i > $o).
% 101.45/13.88 thf(ect_type, type, ect: $i > ($i > $i > $o) > $i).
% 101.45/13.88 thf('#ty_enc17_type', type, '#ty_enc17': ($i > $o > $o) > ($i > $o) > $i > $o).
% 101.45/13.88 thf(imp_type, type, imp: $o > $o > $o).
% 101.45/13.88 thf('#ty_enc15_type', type, '#ty_enc15': ($o > $o > $o > $o) > ($i > $o) >
% 101.45/13.88 $i > $o > $o > $o).
% 101.45/13.88 thf(rat_type, type, rat: $i).
% 101.45/13.88 thf(rt_lessis_type, type, rt_lessis: $i > $i > $o).
% 101.45/13.88 thf(frac_type, type, frac: $i).
% 101.45/13.88 thf(n_eq_type, type, n_eq: $i > $i > $o).
% 101.45/13.88 thf('#sk6_type', type, '#sk6': $i).
% 101.45/13.88 thf('#sk8_type', type, '#sk8': $i).
% 101.45/13.88 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o).
% 101.45/13.88 thf(indrat_type, type, indrat: $i > $i > $i > $i > $i).
% 101.45/13.88 thf(l_or_type, type, l_or: $o > $o > $o).
% 101.45/13.88 thf(class_type, type, class: $i > $i).
% 101.45/13.88 thf(d_not_type, type, d_not: $o > $o).
% 101.45/13.88 thf(rt_pl_type, type, rt_pl: $i > $i > $i).
% 101.45/13.88 thf('#ty_enc14_type', type, '#ty_enc14': (($o > $o > $o) > ($i > $o) > $i >
% 101.45/13.88 $o > $o) >
% 101.45/13.88 ($i > $o > $o > $o) > $i >
% 101.45/13.88 ($i > $o) > $i > $o > $o).
% 101.45/13.88 thf(plusfrt_type, type, plusfrt: $i).
% 101.45/13.88 thf(e_is_type, type, e_is: $i > $i > $i > $o).
% 101.45/13.88 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 101.45/13.88 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 101.45/13.88 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 101.45/13.88 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 101.45/13.88 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 101.45/13.88 thf(satz96f, axiom,
% 101.45/13.88 (all_of @
% 101.45/13.88 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @
% 101.45/13.88 ( ^[X0:$i]:
% 101.45/13.88 ( all_of @
% 101.45/13.88 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @
% 101.45/13.88 ( ^[X1:$i]:
% 101.45/13.88 ( all_of @
% 101.45/13.88 ( ^[X2:$i]: ( in @ X2 @ rat ) ) @
% 101.45/13.88 ( ^[X2:$i]:
% 101.45/13.88 ( ( rt_less @ X0 @ X1 ) =>
% 101.45/13.88 ( rt_less @ ( rt_pl @ X2 @ X0 ) @ ( rt_pl @ X2 @ X1 ) ) ) ) ) ) ) ))).
% 101.45/13.88 thf(zip_derived_cl500, plain,
% 101.45/13.88 ( (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @
% 101.45/13.88 (^[Y0 : $i]:
% 101.45/13.88 (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @
% 101.45/13.88 (^[Y1 : $i]:
% 101.45/13.88 (all_of @ (^[Y2 : $i]: (in @ Y2 @ rat)) @
% 101.45/13.88 (^[Y2 : $i]:
% 101.45/13.88 (((rt_less @ Y0 @ Y1) => (rt_less @ (rt_pl @ Y2 @ Y0) @
% 101.45/13.88 (rt_pl @ Y2 @ Y1))))))))))),
% 101.45/13.88 inference('cnf', [status(esa)], [satz96f])).
% 101.45/13.88 thf(zip_derived_cl501, plain,
% 101.45/13.88 ( (all_of @ ((('#C') @ in @ rat)) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ rat))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @ ((('#C') @ in @ rat))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @
% 101.45/13.88 ((('#C') @ rt_pl)))))))) @
% 101.45/13.88 ((('#C') @ rt_pl)))))))))))),
% 101.45/13.88 inference('lams2combs', [status(thm)], [zip_derived_cl500])).
% 101.45/13.88 thf(def_rat, axiom,(( rat ) = ((ect @ frac @ n_eq)))).
% 101.45/13.88 thf('0', plain, (( rat ) = ( ect @ frac @ n_eq )), define([status(thm)])).
% 101.45/13.88 thf(zip_derived_cl3113, plain,
% 101.45/13.88 ( (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @
% 101.45/13.88 ((('#C') @ rt_pl)))))))) @
% 101.45/13.88 ((('#C') @ rt_pl)))))))))))),
% 101.45/13.88 inference('rw', [status(thm)], [zip_derived_cl501, '0'])).
% 101.45/13.88 thf(def_all_of, axiom, (all_of @ X0 @ X1) =>
% 101.45/13.88 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) = ($true))).
% 101.45/13.88 thf('1', plain,
% 101.45/13.88 (![X0:( $i > $o ),X1:( $i > $o )]:
% 101.45/13.88 ( ( all_of @ X0 @ X1 ) <=>
% 101.45/13.88 ( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) )),
% 101.45/13.88 inference('rw.lit', [status(esa)], [def_all_of])).
% 101.45/13.88 thf(zip_derived_cl3114, plain,
% 101.45/13.88 ( (((!!) @ (^[Y0 : $i]:
% 101.45/13.88 (((is_of @ Y0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @
% 101.45/13.88 ((('#C') @ rt_pl)))))))) @
% 101.45/13.88 ((('#C') @ rt_pl)))))))) @
% 101.45/13.88 Y0)))))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl3113, '1'])).
% 101.45/13.88 thf(zip_derived_cl3115, plain,
% 101.45/13.88 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 101.45/13.88 ((('#C') @ is_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))))))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @
% 101.45/13.88 ((('#C') @ rt_pl)))))))) @
% 101.45/13.88 ((('#C') @ rt_pl))))))))))))))),
% 101.45/13.88 inference('comb-normalize', [status(thm)], [zip_derived_cl3114])).
% 101.45/13.88 thf(zip_derived_cl3116, plain,
% 101.45/13.88 (![X2 : $i]:
% 101.45/13.88 (((is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) => (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @ ((('#B') @ (=>) @ (rt_less @ X2))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ rt_less @
% 101.45/13.88 ((('#C') @ rt_pl @ X2)))))) @
% 101.45/13.88 ((('#C') @ rt_pl)))))))))))),
% 101.45/13.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3115])).
% 101.45/13.88 thf(zip_derived_cl3117, plain,
% 101.45/13.88 (![X2 : $i]:
% 101.45/13.88 (~ (is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ (=>) @ (rt_less @ X2))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ rt_less @
% 101.45/13.88 ((('#C') @ rt_pl @ X2)))))) @
% 101.45/13.88 ((('#C') @ rt_pl))))))))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3116])).
% 101.45/13.88 thf(zip_derived_cl3118, plain,
% 101.45/13.88 (![X0 : $i]:
% 101.45/13.88 ( (((!!) @ (^[Y0 : $i]:
% 101.45/13.88 (((is_of @ Y0 @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ (=>) @ (rt_less @ X0))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ rt_less @
% 101.45/13.88 ((('#C') @ rt_pl @ X0)))))) @
% 101.45/13.88 ((('#C') @ rt_pl)))))) @
% 101.45/13.88 Y0)))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl3117, '1'])).
% 101.45/13.88 thf(zip_derived_cl3119, plain,
% 101.45/13.88 (![X0 : $i]:
% 101.45/13.88 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 101.45/13.88 ((('#C') @ is_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))))))) @
% 101.45/13.88 ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ (=>) @ (rt_less @ X0))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ rt_less @
% 101.45/13.88 ((('#C') @ rt_pl @ X0)))))) @
% 101.45/13.88 ((('#C') @ rt_pl))))))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('comb-normalize', [status(thm)], [zip_derived_cl3118])).
% 101.45/13.88 thf(zip_derived_cl3120, plain,
% 101.45/13.88 (![X0 : $i, X2 : $i]:
% 101.45/13.88 ( (((is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) => (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (rt_less @ X0 @ X2))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ rt_less @ ((('#C') @ rt_pl @ X0)))) @
% 101.45/13.88 ((('#C') @ rt_pl @ X2)))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3119])).
% 101.45/13.88 thf(def_rt_less, axiom,(( rt_less @ (X0)@ (X1)) =
% 101.45/13.88 ((l_some @ frac @
% 101.45/13.88 (^[Y0 : $i]:
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 (^[Y1 : $i]:
% 101.45/13.88 (and3 @ (inf @ Y0 @ (class @ X0)) @ (inf @ Y1 @ (class @ X1)) @
% 101.45/13.88 (lessf @ Y0 @ Y1))))))))).
% 101.45/13.88 thf('2', plain,
% 101.45/13.88 (![X1:$i,X0:$i]:
% 101.45/13.88 ( ( rt_less @ X0 @ X1 ) =
% 101.45/13.88 ( l_some @
% 101.45/13.88 frac @
% 101.45/13.88 ( ^[V_1:$i]:
% 101.45/13.88 ( l_some @
% 101.45/13.88 frac @
% 101.45/13.88 ( ^[V_2:$i]:
% 101.45/13.88 ( and3 @
% 101.45/13.88 ( inf @ V_1 @ ( class @ X0 ) ) @
% 101.45/13.88 ( inf @ V_2 @ ( class @ X1 ) ) @ ( lessf @ V_1 @ V_2 ) ) ) ) ) ) )),
% 101.45/13.88 define([status(thm)])).
% 101.45/13.88 thf(zip_derived_cl3121, plain,
% 101.45/13.88 (![X0 : $i, X2 : $i]:
% 101.45/13.88 ( (((is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) => (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X0))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X2))))))) @
% 101.45/13.88 lessf))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ rt_less @ ((('#C') @ rt_pl @ X0)))) @
% 101.45/13.88 ((('#C') @ rt_pl @ X2)))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('rw', [status(thm)], [zip_derived_cl3120, '2'])).
% 101.45/13.88 thf(zip_derived_cl3122, plain,
% 101.45/13.88 (![X0 : $i, X2 : $i]:
% 101.45/13.88 (~ (is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X0))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X2))))))) @
% 101.45/13.88 lessf))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ rt_less @ ((('#C') @ rt_pl @ X0)))) @
% 101.45/13.88 ((('#C') @ rt_pl @ X2)))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3121])).
% 101.45/13.88 thf(zip_derived_cl3123, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i]:
% 101.45/13.88 ( (((!!) @ (^[Y0 : $i]:
% 101.45/13.88 (((is_of @ Y0 @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#C') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X0))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X1))))))) @
% 101.45/13.88 lessf))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ rt_less @
% 101.45/13.88 ((('#C') @ rt_pl @ X0)))) @
% 101.45/13.88 ((('#C') @ rt_pl @ X1)))) @
% 101.45/13.88 Y0)))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl3122, '1'])).
% 101.45/13.88 thf(zip_derived_cl3124, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i]:
% 101.45/13.88 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 101.45/13.88 ((('#C') @ is_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))))))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((
% 101.45/13.88 ('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#B') @ and3 @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#C') @ inf @
% 101.45/13.88 (
% 101.45/13.88 class @
% 101.45/13.88 X0))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X1))))))) @
% 101.45/13.88 lessf))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ rt_less @ ((('#C') @ rt_pl @ X0)))) @
% 101.45/13.88 ((('#C') @ rt_pl @ X1))))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('comb-normalize', [status(thm)], [zip_derived_cl3123])).
% 101.45/13.88 thf(zip_derived_cl3125, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.45/13.88 ( (((is_of @ X3 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X0))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X1))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (rt_less @ (rt_pl @ X3 @ X0) @ (rt_pl @ X3 @ X1))))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3124])).
% 101.45/13.88 thf(def_rt_pl, axiom,(( rt_pl @ (X0)@ (X1)) =
% 101.45/13.88 ((indrat @ X0 @ X1 @ rat @ plusfrt)))).
% 101.45/13.88 thf('3', plain,
% 101.45/13.88 (![X1:$i,X0:$i]:
% 101.45/13.88 ( ( rt_pl @ X0 @ X1 ) = ( indrat @ X0 @ X1 @ rat @ plusfrt ) )),
% 101.45/13.88 define([status(thm)])).
% 101.45/13.88 thf(zip_derived_cl3126, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.45/13.88 ( (((is_of @ X3 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X0))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X1))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X3 @ X0 @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X3 @ X1 @ (ect @ frac @ n_eq) @
% 101.45/13.88 plusfrt)))))))) @
% 101.45/13.88 lessf)))))))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('rw', [status(thm)], [zip_derived_cl3125, '0', '2', '3', '3'])).
% 101.45/13.88 thf(zip_derived_cl3127, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.45/13.88 (~ (is_of @ X3 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X0))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X1))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X3 @ X0 @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X3 @ X1 @ (ect @ frac @ n_eq) @
% 101.45/13.88 plusfrt)))))))) @
% 101.45/13.88 lessf)))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3126])).
% 101.45/13.88 thf(zip_derived_cl3128, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.45/13.88 (~ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X0))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X1))))))) @
% 101.45/13.88 lessf)))))
% 101.45/13.88 | (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X3 @ X0 @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X3 @ X1 @ (ect @ frac @ n_eq) @
% 101.45/13.88 plusfrt)))))))) @
% 101.45/13.88 lessf)))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X3 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3127])).
% 101.45/13.88 thf(zip_derived_cl5681, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.45/13.88 (~ (l_some @ frac @
% 101.45/13.88 ('#ty_enc10' @ (l_some @ frac) @
% 101.45/13.88 ('#ty_enc11' @
% 101.45/13.88 ('#ty_enc12' @ '#ty_enc17' @
% 101.45/13.88 ('#ty_enc13' @
% 101.45/13.88 ('#ty_enc14' @ '#ty_enc16' @
% 101.45/13.88 ('#ty_enc15' @ and3 @ ('#ty_enc9' @ inf @ (class @ X0)))) @
% 101.45/13.88 ('#ty_enc9' @ inf @ (class @ X1)))) @
% 101.45/13.88 lessf)))
% 101.45/13.88 | (l_some @ frac @
% 101.45/13.88 ('#ty_enc10' @ (l_some @ frac) @
% 101.45/13.88 ('#ty_enc11' @
% 101.45/13.88 ('#ty_enc12' @ '#ty_enc17' @
% 101.45/13.88 ('#ty_enc13' @
% 101.45/13.88 ('#ty_enc14' @ '#ty_enc16' @
% 101.45/13.88 ('#ty_enc15' @ and3 @
% 101.45/13.88 ('#ty_enc9' @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X3 @ X0 @ (ect @ frac @ n_eq) @ plusfrt))))) @
% 101.45/13.88 ('#ty_enc9' @ inf @
% 101.45/13.88 (class @ (indrat @ X3 @ X1 @ (ect @ frac @ n_eq) @ plusfrt))))) @
% 101.45/13.88 lessf)))
% 101.45/13.88 | ~ (is_of @ X1 @ ('#ty_enc9' @ in @ (ect @ frac @ n_eq)))
% 101.45/13.88 | ~ (is_of @ X0 @ ('#ty_enc9' @ in @ (ect @ frac @ n_eq)))
% 101.45/13.88 | ~ (is_of @ X3 @ ('#ty_enc9' @ in @ (ect @ frac @ n_eq))))),
% 101.45/13.88 inference('remove_ty_args', [status(thm)], [zip_derived_cl3128])).
% 101.45/13.88 thf(satz99c, conjecture,
% 101.45/13.88 (all_of @
% 101.45/13.88 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @
% 101.45/13.88 ( ^[X0:$i]:
% 101.45/13.88 ( all_of @
% 101.45/13.88 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @
% 101.45/13.88 ( ^[X1:$i]:
% 101.45/13.88 ( all_of @
% 101.45/13.88 ( ^[X2:$i]: ( in @ X2 @ rat ) ) @
% 101.45/13.88 ( ^[X2:$i]:
% 101.45/13.88 ( all_of @
% 101.45/13.88 ( ^[X3:$i]: ( in @ X3 @ rat ) ) @
% 101.45/13.88 ( ^[X3:$i]:
% 101.45/13.88 ( ( rt_lessis @ X0 @ X1 ) =>
% 101.45/13.88 ( ( rt_less @ X2 @ X3 ) =>
% 101.45/13.88 ( rt_less @ ( rt_pl @ X0 @ X2 ) @ ( rt_pl @ X1 @ X3 ) ) ) ) ) ) ) ) ) ) ))).
% 101.45/13.88 thf(zf_stmt_0, negated_conjecture,
% 101.45/13.88 (~( all_of @
% 101.45/13.88 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @
% 101.45/13.88 ( ^[X0:$i]:
% 101.45/13.88 ( all_of @
% 101.45/13.88 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @
% 101.45/13.88 ( ^[X1:$i]:
% 101.45/13.88 ( all_of @
% 101.45/13.88 ( ^[X2:$i]: ( in @ X2 @ rat ) ) @
% 101.45/13.88 ( ^[X2:$i]:
% 101.45/13.88 ( all_of @
% 101.45/13.88 ( ^[X3:$i]: ( in @ X3 @ rat ) ) @
% 101.45/13.88 ( ^[X3:$i]:
% 101.45/13.88 ( ( rt_lessis @ X0 @ X1 ) =>
% 101.45/13.88 ( ( rt_less @ X2 @ X3 ) =>
% 101.45/13.88 ( rt_less @ ( rt_pl @ X0 @ X2 ) @ ( rt_pl @ X1 @ X3 ) ) ) ) ) ) ) ) ) ) ) )),
% 101.45/13.88 inference('cnf.neg', [status(esa)], [satz99c])).
% 101.45/13.88 thf(zip_derived_cl516, plain,
% 101.45/13.88 (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @
% 101.45/13.88 (^[Y0 : $i]:
% 101.45/13.88 (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @
% 101.45/13.88 (^[Y1 : $i]:
% 101.45/13.88 (all_of @ (^[Y2 : $i]: (in @ Y2 @ rat)) @
% 101.45/13.88 (^[Y2 : $i]:
% 101.45/13.88 (all_of @ (^[Y3 : $i]: (in @ Y3 @ rat)) @
% 101.45/13.88 (^[Y3 : $i]:
% 101.45/13.88 (((rt_lessis @ Y0 @ Y1) =>
% 101.45/13.88 (((rt_less @ Y2 @ Y3) => (rt_less @
% 101.45/13.88 (rt_pl @ Y0 @ Y2) @ (rt_pl @ Y1 @ Y3))))))))))))))),
% 101.45/13.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 101.45/13.88 thf(zip_derived_cl517, plain,
% 101.45/13.88 (~ (all_of @ ((('#C') @ in @ rat)) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ rat))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @ ((('#C') @ in @ rat))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#B') @ (all_of @ ((('#C') @ in @ rat))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_lessis)))))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#C') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @ rt_pl)))))))) @
% 101.45/13.88 rt_pl)))))))))))))),
% 101.45/13.88 inference('lams2combs', [status(thm)], [zip_derived_cl516])).
% 101.45/13.88 thf(zip_derived_cl2037, plain,
% 101.45/13.88 (~ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_lessis)))))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#C') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @ rt_pl)))))))) @
% 101.45/13.88 rt_pl)))))))))))))),
% 101.45/13.88 inference('rw', [status(thm)], [zip_derived_cl517, '0'])).
% 101.45/13.88 thf(def_all_of, axiom, ~ (all_of @ X0 @ X1) =>
% 101.45/13.88 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) != ($true))).
% 101.45/13.88 thf('4', plain,
% 101.45/13.88 (![X0:( $i > $o ),X1:( $i > $o )]:
% 101.45/13.88 ( ( ~( all_of @ X0 @ X1 ) ) <=>
% 101.45/13.88 ( ~( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) ) )),
% 101.45/13.88 inference('rw.lit', [status(esa)], [def_all_of])).
% 101.45/13.88 thf(zip_derived_cl2038, plain,
% 101.45/13.88 (~ (((!!) @ (^[Y0 : $i]:
% 101.45/13.88 (((is_of @ Y0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @
% 101.45/13.88 n_eq)))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_lessis)))))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#B') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 =>))) @
% 101.45/13.88 rt_less)))))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#C') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @
% 101.45/13.88 rt_pl)))))))) @
% 101.45/13.88 rt_pl)))))))))) @
% 101.45/13.88 Y0)))))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl2037, '4'])).
% 101.45/13.88 thf(zip_derived_cl2039, plain,
% 101.45/13.88 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 101.45/13.88 ((('#C') @ is_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))))))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_lessis)))))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#B') @ (
% 101.45/13.88 (('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#C') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @
% 101.45/13.88 rt_pl)))))))) @
% 101.45/13.88 rt_pl))))))))))))))))),
% 101.45/13.88 inference('comb-normalize', [status(thm)], [zip_derived_cl2038])).
% 101.45/13.88 thf(zip_derived_cl2040, plain,
% 101.45/13.88 (~ (((is_of @ '#sk5' @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ (=>) @ (rt_lessis @ '#sk5'))))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))))) @
% 101.45/13.88 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @
% 101.45/13.88 (rt_pl @ '#sk5'))))))) @
% 101.45/13.88 rt_pl)))))))))))))),
% 101.45/13.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2039])).
% 101.45/13.88 thf(zip_derived_cl2042, plain,
% 101.45/13.88 (~ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ (=>) @ (rt_lessis @ '#sk5'))))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))))) @
% 101.45/13.88 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ '#sk5'))))))) @
% 101.45/13.88 rt_pl)))))))))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2040])).
% 101.45/13.88 thf(zip_derived_cl2043, plain,
% 101.45/13.88 (~ (((!!) @ (^[Y0 : $i]:
% 101.45/13.88 (((is_of @ Y0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ (=>) @
% 101.45/13.88 (rt_lessis @ '#sk5'))))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))) @
% 101.45/13.88 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @
% 101.45/13.88 (rt_pl @ '#sk5'))))))) @
% 101.45/13.88 rt_pl)))))))) @
% 101.45/13.88 Y0)))))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl2042, '4'])).
% 101.45/13.88 thf(zip_derived_cl2044, plain,
% 101.45/13.88 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 101.45/13.88 ((('#C') @ is_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))))))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ (=>) @ (rt_lessis @ '#sk5'))))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))) @
% 101.45/13.88 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @
% 101.45/13.88 (rt_pl @ '#sk5'))))))) @
% 101.45/13.88 rt_pl))))))))))))))),
% 101.45/13.88 inference('comb-normalize', [status(thm)], [zip_derived_cl2043])).
% 101.45/13.88 thf(zip_derived_cl2045, plain,
% 101.45/13.88 (~ (((is_of @ '#sk6' @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (((=>) @ (rt_lessis @ '#sk5' @ '#sk6'))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ '#sk5'))))) @
% 101.45/13.88 (rt_pl @ '#sk6'))))))))))))),
% 101.45/13.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2044])).
% 101.45/13.88 thf(def_d_not, axiom,(( d_not @ (X0)) = ((imp @ X0 @ ($false))))).
% 101.45/13.88 thf('5', plain, (![X0:$o]: ( ( d_not @ X0 ) = ( imp @ X0 @ $false ) )),
% 101.45/13.88 define([status(thm)])).
% 101.45/13.88 thf(def_l_or, axiom,(( l_or @ (X0)@ (X1)) = ((imp @ (d_not @ X0) @ X1)))).
% 101.45/13.88 thf('6', plain,
% 101.45/13.88 (![X1:$o,X0:$o]: ( ( l_or @ X0 @ X1 ) = ( imp @ ( d_not @ X0 ) @ X1 ) )),
% 101.45/13.88 define([status(thm)])).
% 101.45/13.88 thf(def_e_is, axiom,(( e_is @ (X2)@ (X0)@ (X1)) = ((((X0) = (X1)))))).
% 101.45/13.88 thf('7', plain,
% 101.45/13.88 (![X2:$i,X1:$i,X0:$i]: ( ( e_is @ X2 @ X0 @ X1 ) = ( ( X0 ) = ( X1 ) ) )),
% 101.45/13.88 define([status(thm)])).
% 101.45/13.88 thf(def_rt_is, axiom,(( rt_is @ (X0)@ (X1)) = ((e_is @ rat @ X0 @ X1)))).
% 101.45/13.88 thf('8', plain,
% 101.45/13.88 (![X1:$i,X0:$i]: ( ( rt_is @ X0 @ X1 ) = ( e_is @ rat @ X0 @ X1 ) )),
% 101.45/13.88 define([status(thm)])).
% 101.45/13.88 thf(def_rt_lessis, axiom,(( rt_lessis @ (X0)@ (X1)) =
% 101.45/13.88 ((l_or @ (rt_less @ X0 @ X1) @ (rt_is @ X0 @ X1))))).
% 101.45/13.88 thf('9', plain,
% 101.45/13.88 (![X1:$i,X0:$i]:
% 101.45/13.88 ( ( rt_lessis @ X0 @ X1 ) =
% 101.45/13.88 ( l_or @ ( rt_less @ X0 @ X1 ) @ ( rt_is @ X0 @ X1 ) ) )),
% 101.45/13.88 define([status(thm)])).
% 101.45/13.88 thf(zip_derived_cl2046, plain,
% 101.45/13.88 (~ (((is_of @ '#sk6' @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (((=>) @ (imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#C') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ '#sk5'))))) @
% 101.45/13.88 (rt_pl @ '#sk6'))))))))))))),
% 101.45/13.88 inference('rw', [status(thm)],
% 101.45/13.88 [zip_derived_cl2045, '5', '6', '7', '0', '8', '2', '9'])).
% 101.45/13.88 thf(zip_derived_cl2048, plain,
% 101.45/13.88 (~ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (((=>) @ (imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#C') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ '#sk5'))))) @
% 101.45/13.88 (rt_pl @ '#sk6'))))))))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2046])).
% 101.45/13.88 thf(zip_derived_cl2049, plain,
% 101.45/13.88 (~ (((!!) @ (^[Y0 : $i]:
% 101.45/13.88 (((is_of @ Y0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (((=>) @ (imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (
% 101.45/13.88 l_some @ frac) @
% 101.45/13.88 ((('#S') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#C') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((
% 101.45/13.88 ('#C') @ inf @
% 101.45/13.88 (
% 101.45/13.88 class @
% 101.45/13.88 '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ '#sk5'))))) @
% 101.45/13.88 (rt_pl @ '#sk6'))))))) @
% 101.45/13.88 Y0)))))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl2048, '4'])).
% 101.45/13.88 thf(zip_derived_cl2050, plain,
% 101.45/13.88 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 101.45/13.88 ((('#C') @ is_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))))))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (((=>) @ (imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @
% 101.45/13.88 frac) @
% 101.45/13.88 ((('#S') @ ((
% 101.45/13.88 ('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#C') @ (
% 101.45/13.88 (
% 101.45/13.88 ('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#B') @ and3 @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#C') @ inf @
% 101.45/13.88 (
% 101.45/13.88 class @
% 101.45/13.88 '#sk5'))))))) @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#C') @ inf @
% 101.45/13.88 (
% 101.45/13.88 class @
% 101.45/13.88 '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ '#sk5'))))) @
% 101.45/13.88 (rt_pl @ '#sk6')))))))))))))),
% 101.45/13.88 inference('comb-normalize', [status(thm)], [zip_derived_cl2049])).
% 101.45/13.88 thf(zip_derived_cl2051, plain,
% 101.45/13.88 (~ (((is_of @ '#sk7' @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (=>) @ (rt_less @ '#sk7'))) @
% 101.45/13.88 ((('#B') @ (rt_less @ (rt_pl @ '#sk5' @ '#sk7')) @
% 101.45/13.88 (rt_pl @ '#sk6'))))))))))),
% 101.45/13.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2050])).
% 101.45/13.88 thf(zip_derived_cl2052, plain,
% 101.45/13.88 (~ (((is_of @ '#sk7' @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (=>) @ (rt_less @ '#sk7'))) @
% 101.45/13.88 ((('#B') @ (rt_less @
% 101.45/13.88 (indrat @ '#sk5' @ '#sk7' @ (ect @ frac @ n_eq) @
% 101.45/13.88 plusfrt)) @
% 101.45/13.88 (rt_pl @ '#sk6'))))))))))),
% 101.45/13.88 inference('rw', [status(thm)], [zip_derived_cl2051, '0', '3'])).
% 101.45/13.88 thf(zip_derived_cl2054, plain,
% 101.45/13.88 (~ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (=>) @ (rt_less @ '#sk7'))) @
% 101.45/13.88 ((('#B') @ (rt_less @
% 101.45/13.88 (indrat @ '#sk5' @ '#sk7' @ (ect @ frac @ n_eq) @
% 101.45/13.88 plusfrt)) @
% 101.45/13.88 (rt_pl @ '#sk6'))))))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2052])).
% 101.45/13.88 thf(zip_derived_cl2055, plain,
% 101.45/13.88 (~ (((!!) @ (^[Y0 : $i]:
% 101.45/13.88 (((is_of @ Y0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 ((('#B') @ (((=>) @ (imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#C') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (=>) @ (rt_less @ '#sk7'))) @
% 101.45/13.88 ((('#B') @ (rt_less @
% 101.45/13.88 (indrat @ '#sk5' @ '#sk7' @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)) @
% 101.45/13.88 (rt_pl @ '#sk6'))))) @
% 101.45/13.88 Y0)))))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl2054, '4'])).
% 101.45/13.88 thf(zip_derived_cl2056, plain,
% 101.45/13.88 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 101.45/13.88 ((('#C') @ is_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))))))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((
% 101.45/13.88 ('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#B') @ and3 @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#C') @ inf @
% 101.45/13.88 (
% 101.45/13.88 class @
% 101.45/13.88 '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (=>) @ (rt_less @ '#sk7'))) @
% 101.45/13.88 ((('#B') @ (rt_less @
% 101.45/13.88 (indrat @ '#sk5' @ '#sk7' @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)) @
% 101.45/13.88 (rt_pl @ '#sk6')))))))))))),
% 101.45/13.88 inference('comb-normalize', [status(thm)], [zip_derived_cl2055])).
% 101.45/13.88 thf(zip_derived_cl2057, plain,
% 101.45/13.88 (~ (((is_of @ '#sk8' @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 (((imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))) =>
% 101.45/13.88 (((rt_less @ '#sk7' @ '#sk8') => (rt_less @
% 101.45/13.88 (indrat @ '#sk5' @ '#sk7' @ (ect @ frac @ n_eq) @ plusfrt) @
% 101.45/13.88 (rt_pl @ '#sk6' @ '#sk8'))))))))),
% 101.45/13.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2056])).
% 101.45/13.88 thf(zip_derived_cl2058, plain,
% 101.45/13.88 (~ (((is_of @ '#sk8' @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 (((imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))) =>
% 101.45/13.88 (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk7'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk8'))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ '#sk5' @ '#sk7' @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ '#sk6' @ '#sk8' @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 lessf)))))))))))),
% 101.45/13.88 inference('rw', [status(thm)], [zip_derived_cl2057, '0', '2', '2', '3'])).
% 101.45/13.88 thf(zip_derived_cl2060, plain,
% 101.45/13.88 (~ (((imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6')))) =>
% 101.45/13.88 (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk7'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk8'))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ '#sk5' @ '#sk7' @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ '#sk6' @ '#sk8' @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 lessf)))))))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2058])).
% 101.45/13.88 thf(zip_derived_cl2061, plain,
% 101.45/13.88 ( (imp @
% 101.45/13.88 (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) @
% 101.45/13.88 ((('#sk5') = ('#sk6'))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2060])).
% 101.45/13.88 thf(def_imp, axiom, (imp @ X0 @ X1) => ((((X0) => (X1))) = ($true))).
% 101.45/13.88 thf('10', plain,
% 101.45/13.88 (![X0:$o,X1:$o]: ( ( imp @ X0 @ X1 ) <=> ( ( X0 ) => ( X1 ) ) )),
% 101.45/13.88 inference('rw.lit', [status(esa)], [def_imp])).
% 101.45/13.88 thf(zip_derived_cl2063, plain,
% 101.45/13.88 ( (((imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false)) => ((('#sk5') = ('#sk6')))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl2061, '10'])).
% 101.45/13.88 thf(zip_derived_cl2066, plain,
% 101.45/13.88 ((~ (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false))
% 101.45/13.88 | ((('#sk5') = ('#sk6'))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2063])).
% 101.45/13.88 thf(zip_derived_cl2067, plain,
% 101.45/13.88 ((~ (imp @
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) @
% 101.45/13.88 ($false))
% 101.45/13.88 | (('#sk5') = ('#sk6')))),
% 101.45/13.88 inference('simplify nested equalities', [status(thm)],
% 101.45/13.88 [zip_derived_cl2066])).
% 101.45/13.88 thf(def_imp, axiom, ~ (imp @ X0 @ X1) => ((((X0) => (X1))) != ($true))).
% 101.45/13.88 thf('11', plain,
% 101.45/13.88 (![X0:$o,X1:$o]: ( ( ~( imp @ X0 @ X1 ) ) <=> ( ~( ( X0 ) => ( X1 ) ) ) )),
% 101.45/13.88 inference('rw.lit', [status(esa)], [def_imp])).
% 101.45/13.88 thf(zip_derived_cl2068, plain,
% 101.45/13.88 ((~ (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk6'))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 ($false)))
% 101.45/13.88 | (('#sk5') = ('#sk6')))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl2067, '11'])).
% 101.45/13.88 thf(zip_derived_cl2069, plain,
% 101.45/13.88 ((~ (((~) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk6'))))))) @
% 101.45/13.88 lessf)))))))
% 101.45/13.88 | (('#sk5') = ('#sk6')))),
% 101.45/13.88 inference('simplify boolean subterms', [status(thm)],
% 101.45/13.88 [zip_derived_cl2068])).
% 101.45/13.88 thf(zip_derived_cl2070, plain,
% 101.45/13.88 (( (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk5'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk6'))))))) @
% 101.45/13.88 lessf)))))
% 101.45/13.88 | (('#sk5') = ('#sk6')))),
% 101.45/13.88 inference('simplify nested equalities', [status(thm)],
% 101.45/13.88 [zip_derived_cl2069])).
% 101.45/13.88 thf(zip_derived_cl5643, plain,
% 101.45/13.88 (( (l_some @ frac @
% 101.45/13.88 ('#ty_enc10' @ (l_some @ frac) @
% 101.45/13.88 ('#ty_enc11' @
% 101.45/13.88 ('#ty_enc12' @ '#ty_enc17' @
% 101.45/13.88 ('#ty_enc13' @
% 101.45/13.88 ('#ty_enc14' @ '#ty_enc16' @
% 101.45/13.88 ('#ty_enc15' @ and3 @ ('#ty_enc9' @ inf @ (class @ '#sk5')))) @
% 101.45/13.88 ('#ty_enc9' @ inf @ (class @ '#sk6')))) @
% 101.45/13.88 lessf)))
% 101.45/13.88 | (('#sk5') = ('#sk6')))),
% 101.45/13.88 inference('remove_ty_args', [status(thm)], [zip_derived_cl2070])).
% 101.45/13.88 thf(zip_derived_cl2053, plain,
% 101.45/13.88 ( (is_of @ '#sk7' @ ((('#C') @ in @ (ect @ frac @ n_eq))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2052])).
% 101.45/13.88 thf(zip_derived_cl5639, plain,
% 101.45/13.88 ( (is_of @ '#sk7' @ ('#ty_enc9' @ in @ (ect @ frac @ n_eq)))),
% 101.45/13.88 inference('remove_ty_args', [status(thm)], [zip_derived_cl2053])).
% 101.45/13.88 thf(zip_derived_cl2059, plain,
% 101.45/13.88 ( (is_of @ '#sk8' @ ((('#C') @ in @ (ect @ frac @ n_eq))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2058])).
% 101.45/13.88 thf(zip_derived_cl5640, plain,
% 101.45/13.88 ( (is_of @ '#sk8' @ ('#ty_enc9' @ in @ (ect @ frac @ n_eq)))),
% 101.45/13.88 inference('remove_ty_args', [status(thm)], [zip_derived_cl2059])).
% 101.45/13.88 thf(zip_derived_cl2041, plain,
% 101.45/13.88 ( (is_of @ '#sk5' @ ((('#C') @ in @ (ect @ frac @ n_eq))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2040])).
% 101.45/13.88 thf(zip_derived_cl5637, plain,
% 101.45/13.88 ( (is_of @ '#sk5' @ ('#ty_enc9' @ in @ (ect @ frac @ n_eq)))),
% 101.45/13.88 inference('remove_ty_args', [status(thm)], [zip_derived_cl2041])).
% 101.45/13.88 thf(zip_derived_cl2047, plain,
% 101.45/13.88 ( (is_of @ '#sk6' @ ((('#C') @ in @ (ect @ frac @ n_eq))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2046])).
% 101.45/13.88 thf(zip_derived_cl5638, plain,
% 101.45/13.88 ( (is_of @ '#sk6' @ ('#ty_enc9' @ in @ (ect @ frac @ n_eq)))),
% 101.45/13.88 inference('remove_ty_args', [status(thm)], [zip_derived_cl2047])).
% 101.45/13.88 thf(zip_derived_cl2062, plain,
% 101.45/13.88 (~ (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk7'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk8'))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ '#sk5' @ '#sk7' @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ '#sk6' @ '#sk8' @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 lessf)))))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2060])).
% 101.45/13.88 thf(zip_derived_cl2064, plain,
% 101.45/13.88 ( (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk7'))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ '#sk8'))))))) @
% 101.45/13.88 lessf)))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2062])).
% 101.45/13.88 thf(zip_derived_cl5641, plain,
% 101.45/13.88 ( (l_some @ frac @
% 101.45/13.88 ('#ty_enc10' @ (l_some @ frac) @
% 101.45/13.88 ('#ty_enc11' @
% 101.45/13.88 ('#ty_enc12' @ '#ty_enc17' @
% 101.45/13.88 ('#ty_enc13' @
% 101.45/13.88 ('#ty_enc14' @ '#ty_enc16' @
% 101.45/13.88 ('#ty_enc15' @ and3 @ ('#ty_enc9' @ inf @ (class @ '#sk7')))) @
% 101.45/13.88 ('#ty_enc9' @ inf @ (class @ '#sk8')))) @
% 101.45/13.88 lessf)))),
% 101.45/13.88 inference('remove_ty_args', [status(thm)], [zip_derived_cl2064])).
% 101.45/13.88 thf(zip_derived_cl2065, plain,
% 101.45/13.88 (~ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ '#sk5' @ '#sk7' @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ '#sk6' @ '#sk8' @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 lessf)))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2062])).
% 101.45/13.88 thf(zip_derived_cl5642, plain,
% 101.45/13.88 (~ (l_some @ frac @
% 101.45/13.88 ('#ty_enc10' @ (l_some @ frac) @
% 101.45/13.88 ('#ty_enc11' @
% 101.45/13.88 ('#ty_enc12' @ '#ty_enc17' @
% 101.45/13.88 ('#ty_enc13' @
% 101.45/13.88 ('#ty_enc14' @ '#ty_enc16' @
% 101.45/13.88 ('#ty_enc15' @ and3 @
% 101.45/13.88 ('#ty_enc9' @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ '#sk5' @ '#sk7' @ (ect @ frac @ n_eq) @ plusfrt))))) @
% 101.45/13.88 ('#ty_enc9' @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ '#sk6' @ '#sk8' @ (ect @ frac @ n_eq) @ plusfrt))))) @
% 101.45/13.88 lessf)))),
% 101.45/13.88 inference('remove_ty_args', [status(thm)], [zip_derived_cl2065])).
% 101.45/13.88 thf(satz98a, axiom,
% 101.45/13.88 (all_of @
% 101.45/13.88 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @
% 101.45/13.88 ( ^[X0:$i]:
% 101.45/13.88 ( all_of @
% 101.45/13.88 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @
% 101.45/13.88 ( ^[X1:$i]:
% 101.45/13.88 ( all_of @
% 101.45/13.88 ( ^[X2:$i]: ( in @ X2 @ rat ) ) @
% 101.45/13.88 ( ^[X2:$i]:
% 101.45/13.88 ( all_of @
% 101.45/13.88 ( ^[X3:$i]: ( in @ X3 @ rat ) ) @
% 101.45/13.88 ( ^[X3:$i]:
% 101.45/13.88 ( ( rt_less @ X0 @ X1 ) =>
% 101.45/13.88 ( ( rt_less @ X2 @ X3 ) =>
% 101.45/13.88 ( rt_less @ ( rt_pl @ X0 @ X2 ) @ ( rt_pl @ X1 @ X3 ) ) ) ) ) ) ) ) ) ) ))).
% 101.45/13.88 thf(zip_derived_cl510, plain,
% 101.45/13.88 ( (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @
% 101.45/13.88 (^[Y0 : $i]:
% 101.45/13.88 (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @
% 101.45/13.88 (^[Y1 : $i]:
% 101.45/13.88 (all_of @ (^[Y2 : $i]: (in @ Y2 @ rat)) @
% 101.45/13.88 (^[Y2 : $i]:
% 101.45/13.88 (all_of @ (^[Y3 : $i]: (in @ Y3 @ rat)) @
% 101.45/13.88 (^[Y3 : $i]:
% 101.45/13.88 (((rt_less @ Y0 @ Y1) =>
% 101.45/13.88 (((rt_less @ Y2 @ Y3) => (rt_less @
% 101.45/13.88 (rt_pl @ Y0 @ Y2) @ (rt_pl @ Y1 @ Y3))))))))))))))),
% 101.45/13.88 inference('cnf', [status(esa)], [satz98a])).
% 101.45/13.88 thf(zip_derived_cl511, plain,
% 101.45/13.88 ( (all_of @ ((('#C') @ in @ rat)) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ rat))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @ ((('#C') @ in @ rat))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#B') @ (all_of @ ((('#C') @ in @ rat))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#C') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @ rt_pl)))))))) @
% 101.45/13.88 rt_pl)))))))))))))),
% 101.45/13.88 inference('lams2combs', [status(thm)], [zip_derived_cl510])).
% 101.45/13.88 thf(zip_derived_cl3703, plain,
% 101.45/13.88 ( (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#C') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @ rt_pl)))))))) @
% 101.45/13.88 rt_pl)))))))))))))),
% 101.45/13.88 inference('rw', [status(thm)], [zip_derived_cl511, '0'])).
% 101.45/13.88 thf(zip_derived_cl3704, plain,
% 101.45/13.88 ( (((!!) @ (^[Y0 : $i]:
% 101.45/13.88 (((is_of @ Y0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @
% 101.45/13.88 n_eq)))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#B') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 =>))) @
% 101.45/13.88 rt_less)))))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#C') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @
% 101.45/13.88 rt_pl)))))))) @
% 101.45/13.88 rt_pl)))))))))) @
% 101.45/13.88 Y0)))))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl3703, '1'])).
% 101.45/13.88 thf(zip_derived_cl3705, plain,
% 101.45/13.88 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 101.45/13.88 ((('#C') @ is_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))))))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#B') @ (
% 101.45/13.88 (('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#C') @
% 101.45/13.88 ((('#B') @ ((('#B') @ ('#B'))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ rt_less)) @
% 101.45/13.88 rt_pl)))))))) @
% 101.45/13.88 rt_pl))))))))))))))))),
% 101.45/13.88 inference('comb-normalize', [status(thm)], [zip_derived_cl3704])).
% 101.45/13.88 thf(zip_derived_cl3706, plain,
% 101.45/13.88 (![X2 : $i]:
% 101.45/13.88 (((is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) => (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ (=>) @ (rt_less @ X2))))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))) @
% 101.45/13.88 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ X2))))))) @
% 101.45/13.88 rt_pl)))))))))))))),
% 101.45/13.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3705])).
% 101.45/13.88 thf(zip_derived_cl3707, plain,
% 101.45/13.88 (![X2 : $i]:
% 101.45/13.88 (~ (is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ (=>) @ (rt_less @ X2))))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))) @
% 101.45/13.88 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ X2))))))) @
% 101.45/13.88 rt_pl))))))))))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3706])).
% 101.45/13.88 thf(zip_derived_cl3708, plain,
% 101.45/13.88 (![X0 : $i]:
% 101.45/13.88 ( (((!!) @ (^[Y0 : $i]:
% 101.45/13.88 (((is_of @ Y0 @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ (=>) @ (rt_less @ X0))))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (
% 101.45/13.88 =>))) @
% 101.45/13.88 rt_less)))))) @
% 101.45/13.88 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @
% 101.45/13.88 (rt_pl @ X0))))))) @
% 101.45/13.88 rt_pl)))))))) @
% 101.45/13.88 Y0)))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl3707, '1'])).
% 101.45/13.88 thf(zip_derived_cl3709, plain,
% 101.45/13.88 (![X0 : $i]:
% 101.45/13.88 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 101.45/13.88 ((('#C') @ is_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))))))) @
% 101.45/13.88 ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @
% 101.45/13.88 (ect @ frac @ n_eq)))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ (=>) @ (rt_less @ X0))))))) @
% 101.45/13.88 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))))) @
% 101.45/13.88 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @
% 101.45/13.88 (rt_pl @ X0))))))) @
% 101.45/13.88 rt_pl))))))))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('comb-normalize', [status(thm)], [zip_derived_cl3708])).
% 101.45/13.88 thf(zip_derived_cl3710, plain,
% 101.45/13.88 (![X0 : $i, X2 : $i]:
% 101.45/13.88 ( (((is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) => (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (((=>) @ (rt_less @ X0 @ X2))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ X0))))) @
% 101.45/13.88 (rt_pl @ X2))))))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3709])).
% 101.45/13.88 thf(zip_derived_cl3711, plain,
% 101.45/13.88 (![X0 : $i, X2 : $i]:
% 101.45/13.88 ( (((is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) => (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#C') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 X0))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X2))))))) @
% 101.45/13.88 lessf))))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ X0))))) @
% 101.45/13.88 (rt_pl @ X2))))))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('rw', [status(thm)], [zip_derived_cl3710, '2'])).
% 101.45/13.88 thf(zip_derived_cl3712, plain,
% 101.45/13.88 (![X0 : $i, X2 : $i]:
% 101.45/13.88 (~ (is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#C') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (
% 101.45/13.88 class @
% 101.45/13.88 X0))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X2))))))) @
% 101.45/13.88 lessf))))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ X0))))) @
% 101.45/13.88 (rt_pl @ X2))))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3711])).
% 101.45/13.88 thf(zip_derived_cl3713, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i]:
% 101.45/13.88 ( (((!!) @ (^[Y0 : $i]:
% 101.45/13.88 (((is_of @ Y0 @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (
% 101.45/13.88 l_some @ frac) @
% 101.45/13.88 ((('#S') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#C') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((
% 101.45/13.88 ('#C') @ inf @
% 101.45/13.88 (
% 101.45/13.88 class @
% 101.45/13.88 X0))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X1))))))) @
% 101.45/13.88 lessf))))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @
% 101.45/13.88 rt_less)))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ X0))))) @
% 101.45/13.88 (rt_pl @ X1))))))) @
% 101.45/13.88 Y0)))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl3712, '1'])).
% 101.45/13.88 thf(zip_derived_cl3714, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i]:
% 101.45/13.88 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 101.45/13.88 ((('#C') @ is_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))))))) @
% 101.45/13.88 ((('#B') @ (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) @
% 101.45/13.88 ((('#B') @ ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @
% 101.45/13.88 frac) @
% 101.45/13.88 ((('#S') @ ((
% 101.45/13.88 ('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#C') @ (
% 101.45/13.88 (
% 101.45/13.88 ('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#B') @ and3 @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#C') @ inf @
% 101.45/13.88 (
% 101.45/13.88 class @
% 101.45/13.88 X0))))))) @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#C') @ inf @
% 101.45/13.88 (
% 101.45/13.88 class @
% 101.45/13.88 X1))))))) @
% 101.45/13.88 lessf))))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#B') @ ((('#B') @ (=>))) @ rt_less)))) @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ rt_less @ (rt_pl @ X0))))) @
% 101.45/13.88 (rt_pl @ X1)))))))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('comb-normalize', [status(thm)], [zip_derived_cl3713])).
% 101.45/13.88 thf(zip_derived_cl3715, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.45/13.88 ( (((is_of @ X3 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) => (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X0))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X1))))))) @
% 101.45/13.88 lessf))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (=>) @ (rt_less @ X3))) @
% 101.45/13.88 ((('#B') @ (rt_less @ (rt_pl @ X0 @ X3)) @ (rt_pl @ X1))))))))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3714])).
% 101.45/13.88 thf(zip_derived_cl3716, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.45/13.88 ( (((is_of @ X3 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) => (all_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X0))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X1))))))) @
% 101.45/13.88 lessf))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (=>) @ (rt_less @ X3))) @
% 101.45/13.88 ((('#B') @ (rt_less @
% 101.45/13.88 (indrat @ X0 @ X3 @ (ect @ frac @ n_eq) @ plusfrt)) @
% 101.45/13.88 (rt_pl @ X1))))))))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('rw', [status(thm)], [zip_derived_cl3715, '0', '3'])).
% 101.45/13.88 thf(zip_derived_cl3717, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X3 : $i]:
% 101.45/13.88 (~ (is_of @ X3 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | (all_of @ ((('#C') @ in @ (ect @ frac @ n_eq))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X0))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X1))))))) @
% 101.45/13.88 lessf))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (=>) @ (rt_less @ X3))) @
% 101.45/13.88 ((('#B') @ (rt_less @
% 101.45/13.88 (indrat @ X0 @ X3 @ (ect @ frac @ n_eq) @ plusfrt)) @
% 101.45/13.88 (rt_pl @ X1))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3716])).
% 101.45/13.88 thf(zip_derived_cl3718, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.45/13.88 ( (((!!) @ (^[Y0 : $i]:
% 101.45/13.88 (((is_of @ Y0 @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (
% 101.45/13.88 '#S') @
% 101.45/13.88 ((('#C') @ (
% 101.45/13.88 (('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X1))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X0))))))) @
% 101.45/13.88 lessf))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (=>) @ (rt_less @ X2))) @
% 101.45/13.88 ((('#B') @ (rt_less @
% 101.45/13.88 (indrat @ X1 @ X2 @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)) @
% 101.45/13.88 (rt_pl @ X0))))) @
% 101.45/13.88 Y0)))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('rw_clause', [status(thm)], [zip_derived_cl3717, '1'])).
% 101.45/13.88 thf(zip_derived_cl3719, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 101.45/13.88 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 101.45/13.88 ((('#C') @ is_of @
% 101.45/13.88 ((('#C') @ in @ (ect @ frac @ n_eq))))))) @
% 101.45/13.88 ((('#B') @ (((=>) @ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((
% 101.45/13.88 ('#B') @ (
% 101.45/13.88 '#B') @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#B') @ and3 @
% 101.45/13.88 (
% 101.45/13.88 (
% 101.45/13.88 ('#C') @ inf @
% 101.45/13.88 (
% 101.45/13.88 class @
% 101.45/13.88 X1))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @ X0))))))) @
% 101.45/13.88 lessf))))))) @
% 101.45/13.88 ((('#S') @ ((('#B') @ (=>) @ (rt_less @ X2))) @
% 101.45/13.88 ((('#B') @ (rt_less @
% 101.45/13.88 (indrat @ X1 @ X2 @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)) @
% 101.45/13.88 (rt_pl @ X0)))))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('comb-normalize', [status(thm)], [zip_derived_cl3718])).
% 101.45/13.88 thf(zip_derived_cl3720, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 101.45/13.88 ( (((is_of @ X4 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X1))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X0))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (((rt_less @ X2 @ X4) => (rt_less @
% 101.45/13.88 (indrat @ X1 @ X2 @ (ect @ frac @ n_eq) @ plusfrt) @
% 101.45/13.88 (rt_pl @ X0 @ X4))))))))
% 101.45/13.88 | ~ (is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3719])).
% 101.45/13.88 thf(zip_derived_cl3721, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 101.45/13.88 ( (((is_of @ X4 @ ((('#C') @ in @ (ect @ frac @ n_eq)))) =>
% 101.45/13.88 (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X1))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X0))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X2))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X4))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X1 @ X2 @
% 101.45/13.88 (ect @ frac @ n_eq) @
% 101.45/13.88 plusfrt)))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X0 @ X4 @ (ect @ frac @ n_eq) @
% 101.45/13.88 plusfrt)))))))) @
% 101.45/13.88 lessf)))))))))))
% 101.45/13.88 | ~ (is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('rw', [status(thm)], [zip_derived_cl3720, '0', '2', '2', '3'])).
% 101.45/13.88 thf(zip_derived_cl3722, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 101.45/13.88 (~ (is_of @ X4 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X1))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X0))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X2))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X4))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X1 @ X2 @
% 101.45/13.88 (ect @ frac @ n_eq) @
% 101.45/13.88 plusfrt)))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X0 @ X4 @ (ect @ frac @ n_eq) @
% 101.45/13.88 plusfrt)))))))) @
% 101.45/13.88 lessf)))))))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3721])).
% 101.45/13.88 thf(zip_derived_cl3723, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 101.45/13.88 (~ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X1))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X0))))))) @
% 101.45/13.88 lessf)))))
% 101.45/13.88 | (((l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X2))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X4))))))) @
% 101.45/13.88 lessf))))) =>
% 101.45/13.88 (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X1 @ X2 @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X0 @ X4 @ (ect @ frac @ n_eq) @
% 101.45/13.88 plusfrt)))))))) @
% 101.45/13.88 lessf)))))))
% 101.45/13.88 | ~ (is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X4 @ ((('#C') @ in @ (ect @ frac @ n_eq)))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3722])).
% 101.45/13.88 thf(zip_derived_cl3724, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 101.45/13.88 (~ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X2))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X4))))))) @
% 101.45/13.88 lessf)))))
% 101.45/13.88 | (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X1 @ X2 @
% 101.45/13.88 (ect @ frac @ n_eq) @ plusfrt)))))))) @
% 101.45/13.88 ((('#C') @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X0 @ X4 @ (ect @ frac @ n_eq) @
% 101.45/13.88 plusfrt)))))))) @
% 101.45/13.88 lessf)))))
% 101.45/13.88 | ~ (is_of @ X4 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X0 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X1 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (is_of @ X2 @ ((('#C') @ in @ (ect @ frac @ n_eq))))
% 101.45/13.88 | ~ (l_some @ frac @
% 101.45/13.88 ((('#B') @ (l_some @ frac) @
% 101.45/13.88 ((('#S') @ ((('#B') @ ('#S') @
% 101.45/13.88 ((('#C') @ ((('#B') @ ('#B') @
% 101.45/13.88 ((('#B') @ and3 @
% 101.45/13.88 ((('#C') @ inf @ (class @ X1))))))) @
% 101.45/13.88 ((('#C') @ inf @ (class @ X0))))))) @
% 101.45/13.88 lessf))))))),
% 101.45/13.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3723])).
% 101.45/13.88 thf(zip_derived_cl5704, plain,
% 101.45/13.88 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 101.45/13.88 (~ (l_some @ frac @
% 101.45/13.88 ('#ty_enc10' @ (l_some @ frac) @
% 101.45/13.88 ('#ty_enc11' @
% 101.45/13.88 ('#ty_enc12' @ '#ty_enc17' @
% 101.45/13.88 ('#ty_enc13' @
% 101.45/13.88 ('#ty_enc14' @ '#ty_enc16' @
% 101.45/13.88 ('#ty_enc15' @ and3 @ ('#ty_enc9' @ inf @ (class @ X2)))) @
% 101.45/13.88 ('#ty_enc9' @ inf @ (class @ X4)))) @
% 101.45/13.88 lessf)))
% 101.45/13.88 | (l_some @ frac @
% 101.45/13.88 ('#ty_enc10' @ (l_some @ frac) @
% 101.45/13.88 ('#ty_enc11' @
% 101.45/13.88 ('#ty_enc12' @ '#ty_enc17' @
% 101.45/13.88 ('#ty_enc13' @
% 101.45/13.88 ('#ty_enc14' @ '#ty_enc16' @
% 101.45/13.88 ('#ty_enc15' @ and3 @
% 101.45/13.88 ('#ty_enc9' @ inf @
% 101.45/13.88 (class @
% 101.45/13.88 (indrat @ X1 @ X2 @ (ect @ frac @ n_eq) @ plusfrt))))) @
% 101.45/13.88 ('#ty_enc9' @ inf @
% 101.45/13.88 (class @ (indrat @ X0 @ X4 @ (ect @ frac @ n_eq) @ plusfrt))))) @
% 101.45/13.88 lessf)))
% 101.45/13.88 | ~ (is_of @ X4 @ ('#ty_enc9' @ in @ (ect @ frac @ n_eq)))
% 101.45/13.88 | ~ (is_of @ X0 @ ('#ty_enc9' @ in @ (ect @ frac @ n_eq)))
% 101.45/13.88 | ~ (is_of @ X1 @ ('#ty_enc9' @ in @ (ect @ frac @ n_eq)))
% 101.45/13.88 | ~ (is_of @ X2 @ ('#ty_enc9' @ in @ (ect @ frac @ n_eq)))
% 101.45/13.88 | ~ (l_some @ frac @
% 101.45/13.88 ('#ty_enc10' @ (l_some @ frac) @
% 101.45/13.88 ('#ty_enc11' @
% 101.45/13.88 ('#ty_enc12' @ '#ty_enc17' @
% 101.45/13.88 ('#ty_enc13' @
% 101.45/13.88 ('#ty_enc14' @ '#ty_enc16' @
% 101.45/13.88 ('#ty_enc15' @ and3 @ ('#ty_enc9' @ inf @ (class @ X1)))) @
% 101.45/13.88 ('#ty_enc9' @ inf @ (class @ X0)))) @
% 101.45/13.88 lessf))))),
% 101.45/13.88 inference('remove_ty_args', [status(thm)], [zip_derived_cl3724])).
% 101.45/13.88 thf(zip_derived_cl5747, plain, ($false),
% 101.45/13.88 inference('eprover', [status(thm)],
% 101.45/13.88 [zip_derived_cl5681, zip_derived_cl5643, zip_derived_cl5639,
% 101.45/13.88 zip_derived_cl5640, zip_derived_cl5637, zip_derived_cl5638,
% 101.45/13.88 zip_derived_cl5641, zip_derived_cl5642, zip_derived_cl5704])).
% 101.45/13.88
% 101.45/13.88 % SZS output end Refutation
% 101.45/13.88
% 101.45/13.88
% 101.45/13.88 % Terminating...
% 101.45/14.08 % Runner terminated.
% 101.45/14.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------