%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM791^4 : TPTP v9.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MCEXXSQK9U true
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:48:23 PM UTC 2025
% Result : Theorem 163.64s 33.25s
% Output : Refutation 163.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/1.13 % Problem : NUM791^4 : TPTP v9.2.0. Released v7.1.0.
% 0.14/1.20 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MCEXXSQK9U true
% 0.14/1.60 % Computer : n003.cluster.edu
% 0.14/1.60 % Model : x86_64 x86_64
% 0.14/1.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.60 % Memory : 8042.1875MB
% 0.14/1.60 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/1.60 % CPULimit : 300
% 0.14/1.60 % WCLimit : 300
% 0.14/1.60 % DateTime : Wed Oct 1 16:30:39 EDT 2025
% 0.14/1.61 % CPUTime :
% 0.14/1.61 % Running portfolio for 300 s
% 0.14/1.61 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/1.63 % Number of cores: 8
% 0.14/1.63 % Python version: Python 3.6.8
% 0.14/1.64 % Running in HO mode
% 0.37/2.09 % Total configuration time : 828
% 0.37/2.09 % Estimated wc time : 1656
% 0.37/2.09 % Estimated cpu time (8 cpus) : 207.0
% 0.37/2.22 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.49/2.33 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.63/2.36 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.69/2.40 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.75/2.44 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.77/2.48 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.84/2.52 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.84/2.55 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 8.85/4.13 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 163.64/33.25 % Solved by lams/40_b.comb.sh.
% 163.64/33.25 % done 0 iterations in 30.578s
% 163.64/33.25 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 163.64/33.25 % SZS output start Refutation
% 163.64/33.25 thf('#ty_enc10_type', type, '#ty_enc10': (($i > $o > $o) > ($i > $o) > $i > $o) >
% 163.64/33.25 ($i > $i > $o > $o) > $i >
% 163.64/33.25 ($i > $o) > $i > $o).
% 163.64/33.25 thf(rt_is_type, type, rt_is: $i > $i > $o).
% 163.64/33.25 thf('#ty_enc13_type', type, '#ty_enc13': ($o > $o > $o > $o) > ($i > $o) >
% 163.64/33.25 $i > $o > $o > $o).
% 163.64/33.25 thf(lessf_type, type, lessf: $i > $i > $o).
% 163.64/33.25 thf(inf_type, type, inf: $i > $i > $o).
% 163.64/33.25 thf(rt_less_type, type, rt_less: $i > $i > $o).
% 163.64/33.25 thf('#ty_enc12_type', type, '#ty_enc12': (($o > $o > $o) > ($i > $o) > $i >
% 163.64/33.25 $o > $o) >
% 163.64/33.25 ($i > $o > $o > $o) > $i >
% 163.64/33.25 ($i > $o) > $i > $o > $o).
% 163.64/33.25 thf(and3_type, type, and3: $o > $o > $o > $o).
% 163.64/33.25 thf(is_of_type, type, is_of: $i > ($i > $o) > $o).
% 163.64/33.25 thf(in_type, type, in: $i > $i > $o).
% 163.64/33.25 thf(l_some_type, type, l_some: $i > ($i > $o) > $o).
% 163.64/33.25 thf(d_Sep_type, type, d_Sep: $i > ($i > $o) > $i).
% 163.64/33.25 thf('#ty_enc9_type', type, '#ty_enc9': ($i > ($i > $o) > $i > $o) >
% 163.64/33.25 ($i > $i > $o) > $i > $i > $o).
% 163.64/33.25 thf(ect_type, type, ect: $i > ($i > $i > $o) > $i).
% 163.64/33.25 thf('#ty_enc14_type', type, '#ty_enc14': ($o > $o > $o) > ($i > $o) > $i > $o > $o).
% 163.64/33.25 thf('#ty_enc8_type', type, '#ty_enc8': (($i > $o) > $o) > ($i > $i > $o) > $i > $o).
% 163.64/33.25 thf(imp_type, type, imp: $o > $o > $o).
% 163.64/33.25 thf('#ty_enc15_type', type, '#ty_enc15': ($i > $o > $o) > ($i > $o) > $i > $o).
% 163.64/33.25 thf(rat_type, type, rat: $i).
% 163.64/33.25 thf(rt_lessis_type, type, rt_lessis: $i > $i > $o).
% 163.64/33.25 thf(frac_type, type, frac: $i).
% 163.64/33.25 thf(e_in_type, type, e_in: $i > ($i > $o) > $i > $i).
% 163.64/33.25 thf(n_eq_type, type, n_eq: $i > $i > $o).
% 163.64/33.25 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o).
% 163.64/33.25 thf(ecect_type, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 163.64/33.25 thf(anec_type, type, anec: $i > ($i > $i > $o) > $i > $o).
% 163.64/33.25 thf(l_or_type, type, l_or: $o > $o > $o).
% 163.64/33.25 thf(class_type, type, class: $i > $i).
% 163.64/33.25 thf(moref_type, type, moref: $i > $i > $o).
% 163.64/33.25 thf('#sk3_type', type, '#sk3': $i).
% 163.64/33.25 thf('#ty_enc11_type', type, '#ty_enc11': ($i > ($i > $o) > $i > $o > $o) >
% 163.64/33.25 ($i > $o) > $i > $i > $o > $o).
% 163.64/33.25 thf('#sk2_type', type, '#sk2': $i).
% 163.64/33.25 thf(d_not_type, type, d_not: $o > $o).
% 163.64/33.25 thf(power_type, type, power: $i > $i).
% 163.64/33.25 thf('#ty_enc7_type', type, '#ty_enc7': ($i > $i > $o) > $i > $i > $o).
% 163.64/33.25 thf(rt_more_type, type, rt_more: $i > $i > $o).
% 163.64/33.25 thf(e_is_type, type, e_is: $i > $i > $i > $o).
% 163.64/33.25 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 163.64/33.25 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 163.64/33.25 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 163.64/33.25 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 163.64/33.25 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 163.64/33.25 thf(satz81k, conjecture,
% 163.64/33.25 (all_of @
% 163.64/33.25 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @
% 163.64/33.25 ( ^[X0:$i]:
% 163.64/33.25 ( all_of @
% 163.64/33.25 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @
% 163.64/33.25 ( ^[X1:$i]:
% 163.64/33.25 ( ( d_not @ ( rt_lessis @ X0 @ X1 ) ) => ( rt_more @ X0 @ X1 ) ) ) ) ))).
% 163.64/33.25 thf(zf_stmt_0, negated_conjecture,
% 163.64/33.25 (~( all_of @
% 163.64/33.25 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @
% 163.64/33.25 ( ^[X0:$i]:
% 163.64/33.25 ( all_of @
% 163.64/33.25 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @
% 163.64/33.25 ( ^[X1:$i]:
% 163.64/33.25 ( ( d_not @ ( rt_lessis @ X0 @ X1 ) ) => ( rt_more @ X0 @ X1 ) ) ) ) ) )),
% 163.64/33.25 inference('cnf.neg', [status(esa)], [satz81k])).
% 163.64/33.25 thf(zip_derived_cl507, plain,
% 163.64/33.25 (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @
% 163.64/33.25 (^[Y0 : $i]:
% 163.64/33.25 (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @
% 163.64/33.25 (^[Y1 : $i]:
% 163.64/33.25 (((d_not @ (rt_lessis @ Y0 @ Y1)) => (rt_more @ Y0 @ Y1)))))))),
% 163.64/33.25 inference('cnf', [status(esa)], [zf_stmt_0])).
% 163.64/33.25 thf(zip_derived_cl508, plain,
% 163.64/33.25 (~ (all_of @ ((('#C') @ in @ rat)) @
% 163.64/33.25 ((('#B') @ (all_of @ ((('#C') @ in @ rat))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#B') @ ((('#B') @ (=>))) @
% 163.64/33.25 ((('#B') @ ((('#B') @ d_not)) @ rt_lessis)))))) @
% 163.64/33.25 rt_more)))))),
% 163.64/33.25 inference('lams2combs', [status(thm)], [zip_derived_cl507])).
% 163.64/33.25 thf(def_ect, axiom,(( ect @ (X0)@ (X1)) =
% 163.64/33.25 ((d_Sep @ (power @ X0) @ (anec @ X0 @ X1))))).
% 163.64/33.25 thf('0', plain,
% 163.64/33.25 (![X1:( $i > $i > $o ),X0:$i]:
% 163.64/33.25 ( ( ect @ X0 @ X1 ) = ( d_Sep @ ( power @ X0 ) @ ( anec @ X0 @ X1 ) ) )),
% 163.64/33.25 define([status(thm)])).
% 163.64/33.25 thf(def_rat, axiom,(( rat ) = ((ect @ frac @ n_eq)))).
% 163.64/33.25 thf('1', plain, (( rat ) = ( ect @ frac @ n_eq )), define([status(thm)])).
% 163.64/33.25 thf(zip_derived_cl644, plain,
% 163.64/33.25 (~ (all_of @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 163.64/33.25 ((('#B') @ (all_of @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#B') @ ((('#B') @ (=>))) @
% 163.64/33.25 ((('#B') @ ((('#B') @ d_not)) @ rt_lessis)))))) @
% 163.64/33.25 rt_more)))))),
% 163.64/33.25 inference('rw', [status(thm)], [zip_derived_cl508, '0', '1'])).
% 163.64/33.25 thf(def_all_of, axiom, ~ (all_of @ X0 @ X1) =>
% 163.64/33.25 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) != ($true))).
% 163.64/33.25 thf('2', plain,
% 163.64/33.25 (![X0:( $i > $o ),X1:( $i > $o )]:
% 163.64/33.25 ( ( ~( all_of @ X0 @ X1 ) ) <=>
% 163.64/33.25 ( ~( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) ) )),
% 163.64/33.25 inference('rw.lit', [status(esa)], [def_all_of])).
% 163.64/33.25 thf(zip_derived_cl645, plain,
% 163.64/33.25 (~ (((!!) @ (^[Y0 : $i]:
% 163.64/33.25 (((is_of @ Y0 @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 163.64/33.25 ((('#B') @ (all_of @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @
% 163.64/33.25 (anec @ frac @ n_eq))))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#B') @ ((('#B') @ (=>))) @
% 163.64/33.25 ((('#B') @ ((('#B') @ d_not)) @
% 163.64/33.25 rt_lessis)))))) @
% 163.64/33.25 rt_more)) @
% 163.64/33.25 Y0)))))))),
% 163.64/33.25 inference('rw_clause', [status(thm)], [zip_derived_cl644, '2'])).
% 163.64/33.25 thf(zip_derived_cl646, plain,
% 163.64/33.25 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 163.64/33.25 ((('#C') @ is_of @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @
% 163.64/33.25 (anec @ frac @ n_eq)))))))) @
% 163.64/33.25 ((('#B') @ (all_of @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @
% 163.64/33.25 (anec @ frac @ n_eq))))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#B') @ ((('#B') @ (=>))) @
% 163.64/33.25 ((('#B') @ ((('#B') @ d_not)) @ rt_lessis)))))) @
% 163.64/33.25 rt_more))))))))),
% 163.64/33.25 inference('comb-normalize', [status(thm)], [zip_derived_cl645])).
% 163.64/33.25 thf(zip_derived_cl647, plain,
% 163.64/33.25 (~ (((is_of @ '#sk2' @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 163.64/33.25 (all_of @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ (=>) @
% 163.64/33.25 ((('#B') @ d_not @ (rt_lessis @ '#sk2'))))) @
% 163.64/33.25 (rt_more @ '#sk2'))))))),
% 163.64/33.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl646])).
% 163.64/33.25 thf(zip_derived_cl649, plain,
% 163.64/33.25 (~ (all_of @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ (=>) @
% 163.64/33.25 ((('#B') @ d_not @ (rt_lessis @ '#sk2'))))) @
% 163.64/33.25 (rt_more @ '#sk2'))))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl647])).
% 163.64/33.25 thf(zip_derived_cl650, plain,
% 163.64/33.25 (~ (((!!) @ (^[Y0 : $i]:
% 163.64/33.25 (((is_of @ Y0 @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 163.64/33.25 ((('#S') @ ((('#B') @ (=>) @
% 163.64/33.25 ((('#B') @ d_not @ (rt_lessis @ '#sk2'))))) @
% 163.64/33.25 (rt_more @ '#sk2') @ Y0)))))))),
% 163.64/33.25 inference('rw_clause', [status(thm)], [zip_derived_cl649, '2'])).
% 163.64/33.25 thf(zip_derived_cl651, plain,
% 163.64/33.25 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 163.64/33.25 ((('#C') @ is_of @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @
% 163.64/33.25 (anec @ frac @ n_eq)))))))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ (=>) @
% 163.64/33.25 ((('#B') @ d_not @ (rt_lessis @ '#sk2'))))) @
% 163.64/33.25 (rt_more @ '#sk2')))))))),
% 163.64/33.25 inference('comb-normalize', [status(thm)], [zip_derived_cl650])).
% 163.64/33.25 thf(zip_derived_cl652, plain,
% 163.64/33.25 (~ (((is_of @ '#sk3' @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 163.64/33.25 (((d_not @ (rt_lessis @ '#sk2' @ '#sk3')) => (rt_more @ '#sk2' @
% 163.64/33.25 '#sk3')))))),
% 163.64/33.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl651])).
% 163.64/33.25 thf(def_d_not, axiom,(( d_not @ (X0)) = ((imp @ X0 @ ($false))))).
% 163.64/33.25 thf('3', plain, (![X0:$o]: ( ( d_not @ X0 ) = ( imp @ X0 @ $false ) )),
% 163.64/33.25 define([status(thm)])).
% 163.64/33.25 thf(def_l_or, axiom,(( l_or @ (X0)@ (X1)) = ((imp @ (d_not @ X0) @ X1)))).
% 163.64/33.25 thf('4', plain,
% 163.64/33.25 (![X1:$o,X0:$o]: ( ( l_or @ X0 @ X1 ) = ( imp @ ( d_not @ X0 ) @ X1 ) )),
% 163.64/33.25 define([status(thm)])).
% 163.64/33.25 thf(def_e_is, axiom,(( e_is @ (X2)@ (X0)@ (X1)) = ((((X0) = (X1)))))).
% 163.64/33.25 thf('5', plain,
% 163.64/33.25 (![X2:$i,X1:$i,X0:$i]: ( ( e_is @ X2 @ X0 @ X1 ) = ( ( X0 ) = ( X1 ) ) )),
% 163.64/33.25 define([status(thm)])).
% 163.64/33.25 thf(def_e_in, axiom,(( e_in @ (X1)@ (X2)@ (X0)) = ((X0)))).
% 163.64/33.25 thf('6', plain,
% 163.64/33.25 (![X2:( $i > $o ),X1:$i,X0:$i]: ( ( e_in @ X1 @ X2 @ X0 ) = ( X0 ) )),
% 163.64/33.25 define([status(thm)])).
% 163.64/33.25 thf(def_ecect, axiom,(( ecect @ (X0)@ (X1)@ (X2)) =
% 163.64/33.25 ((e_in @ (power @ X0) @ (anec @ X0 @ X1) @ X2)))).
% 163.64/33.25 thf('7', plain,
% 163.64/33.25 (![X2:$i,X1:( $i > $i > $o ),X0:$i]:
% 163.64/33.25 ( ( ecect @ X0 @ X1 @ X2 ) =
% 163.64/33.25 ( e_in @ ( power @ X0 ) @ ( anec @ X0 @ X1 ) @ X2 ) )),
% 163.64/33.25 define([status(thm)])).
% 163.64/33.25 thf(def_rt_is, axiom,(( rt_is @ (X0)@ (X1)) = ((e_is @ rat @ X0 @ X1)))).
% 163.64/33.25 thf('8', plain,
% 163.64/33.25 (![X1:$i,X0:$i]: ( ( rt_is @ X0 @ X1 ) = ( e_is @ rat @ X0 @ X1 ) )),
% 163.64/33.25 define([status(thm)])).
% 163.64/33.25 thf(def_class, axiom,(( class @ (X0)) = ((ecect @ frac @ n_eq @ X0)))).
% 163.64/33.25 thf('9', plain,
% 163.64/33.25 (![X0:$i]: ( ( class @ X0 ) = ( ecect @ frac @ n_eq @ X0 ) )),
% 163.64/33.25 define([status(thm)])).
% 163.64/33.25 thf(def_rt_more, axiom,(( rt_more @ (X0)@ (X1)) =
% 163.64/33.25 ((l_some @ frac @
% 163.64/33.25 (^[Y0 : $i]:
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 (^[Y1 : $i]:
% 163.64/33.25 (and3 @ (inf @ Y0 @ (class @ X0)) @ (inf @ Y1 @ (class @ X1)) @
% 163.64/33.25 (moref @ Y0 @ Y1))))))))).
% 163.64/33.25 thf('10', plain,
% 163.64/33.25 (![X1:$i,X0:$i]:
% 163.64/33.25 ( ( rt_more @ X0 @ X1 ) =
% 163.64/33.25 ( l_some @
% 163.64/33.25 frac @
% 163.64/33.25 ( ^[V_1:$i]:
% 163.64/33.25 ( l_some @
% 163.64/33.25 frac @
% 163.64/33.25 ( ^[V_2:$i]:
% 163.64/33.25 ( and3 @
% 163.64/33.25 ( inf @ V_1 @ ( class @ X0 ) ) @
% 163.64/33.25 ( inf @ V_2 @ ( class @ X1 ) ) @ ( moref @ V_1 @ V_2 ) ) ) ) ) ) )),
% 163.64/33.25 define([status(thm)])).
% 163.64/33.25 thf(def_rt_less, axiom,(( rt_less @ (X0)@ (X1)) =
% 163.64/33.25 ((l_some @ frac @
% 163.64/33.25 (^[Y0 : $i]:
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 (^[Y1 : $i]:
% 163.64/33.25 (and3 @ (inf @ Y0 @ (class @ X0)) @ (inf @ Y1 @ (class @ X1)) @
% 163.64/33.25 (lessf @ Y0 @ Y1))))))))).
% 163.64/33.25 thf('11', plain,
% 163.64/33.25 (![X1:$i,X0:$i]:
% 163.64/33.25 ( ( rt_less @ X0 @ X1 ) =
% 163.64/33.25 ( l_some @
% 163.64/33.25 frac @
% 163.64/33.25 ( ^[V_1:$i]:
% 163.64/33.25 ( l_some @
% 163.64/33.25 frac @
% 163.64/33.25 ( ^[V_2:$i]:
% 163.64/33.25 ( and3 @
% 163.64/33.25 ( inf @ V_1 @ ( class @ X0 ) ) @
% 163.64/33.25 ( inf @ V_2 @ ( class @ X1 ) ) @ ( lessf @ V_1 @ V_2 ) ) ) ) ) ) )),
% 163.64/33.25 define([status(thm)])).
% 163.64/33.25 thf(def_rt_lessis, axiom,(( rt_lessis @ (X0)@ (X1)) =
% 163.64/33.25 ((l_or @ (rt_less @ X0 @ X1) @ (rt_is @ X0 @ X1))))).
% 163.64/33.25 thf('12', plain,
% 163.64/33.25 (![X1:$i,X0:$i]:
% 163.64/33.25 ( ( rt_lessis @ X0 @ X1 ) =
% 163.64/33.25 ( l_or @ ( rt_less @ X0 @ X1 ) @ ( rt_is @ X0 @ X1 ) ) )),
% 163.64/33.25 define([status(thm)])).
% 163.64/33.25 thf(zip_derived_cl653, plain,
% 163.64/33.25 (~ (((is_of @ '#sk3' @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 163.64/33.25 (((imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 ((('#sk2') = ('#sk3')))) @
% 163.64/33.25 ($false)) => (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 moref)))))))))),
% 163.64/33.25 inference('rw', [status(thm)],
% 163.64/33.25 [zip_derived_cl652, '3', '3', '4', '5', '6', '6', '0', '7',
% 163.64/33.25 '7', '1', '8', '9', '9', '10', '11', '12'])).
% 163.64/33.25 thf(zip_derived_cl655, plain,
% 163.64/33.25 (~ (((imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 ((('#sk2') = ('#sk3')))) @
% 163.64/33.25 ($false)) => (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 moref)))))))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl653])).
% 163.64/33.25 thf(zip_derived_cl656, plain,
% 163.64/33.25 ( (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 ((('#sk2') = ('#sk3')))) @
% 163.64/33.25 ($false))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl655])).
% 163.64/33.25 thf(def_imp, axiom, (imp @ X0 @ X1) => ((((X0) => (X1))) = ($true))).
% 163.64/33.25 thf('13', plain,
% 163.64/33.25 (![X0:$o,X1:$o]: ( ( imp @ X0 @ X1 ) <=> ( ( X0 ) => ( X1 ) ) )),
% 163.64/33.25 inference('rw.lit', [status(esa)], [def_imp])).
% 163.64/33.25 thf(zip_derived_cl658, plain,
% 163.64/33.25 ( (((imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 ((('#sk2') = ('#sk3')))) => ($false)))),
% 163.64/33.25 inference('rw_clause', [status(thm)], [zip_derived_cl656, '13'])).
% 163.64/33.25 thf(zip_derived_cl659, plain,
% 163.64/33.25 ( (((~) @ (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 ((('#sk2') = ('#sk3'))))))),
% 163.64/33.25 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl658])).
% 163.64/33.25 thf(zip_derived_cl660, plain,
% 163.64/33.25 (~ (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 ((('#sk2') = ('#sk3'))))),
% 163.64/33.25 inference('simplify nested equalities', [status(thm)],
% 163.64/33.25 [zip_derived_cl659])).
% 163.64/33.25 thf(def_imp, axiom, ~ (imp @ X0 @ X1) => ((((X0) => (X1))) != ($true))).
% 163.64/33.25 thf('14', plain,
% 163.64/33.25 (![X0:$o,X1:$o]: ( ( ~( imp @ X0 @ X1 ) ) <=> ( ~( ( X0 ) => ( X1 ) ) ) )),
% 163.64/33.25 inference('rw.lit', [status(esa)], [def_imp])).
% 163.64/33.25 thf(zip_derived_cl661, plain,
% 163.64/33.25 (~ (((imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) => ((('#sk2') = ('#sk3')))))),
% 163.64/33.25 inference('rw_clause', [status(thm)], [zip_derived_cl660, '14'])).
% 163.64/33.25 thf(zip_derived_cl663, plain, (~ ((('#sk2') = ('#sk3')))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl661])).
% 163.64/33.25 thf(zip_derived_cl665, plain, ((('#sk2') != ('#sk3'))),
% 163.64/33.25 inference('simplify nested equalities', [status(thm)],
% 163.64/33.25 [zip_derived_cl663])).
% 163.64/33.25 thf(zip_derived_cl648, plain,
% 163.64/33.25 ( (is_of @ '#sk2' @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl647])).
% 163.64/33.25 thf(zip_derived_cl5147, plain,
% 163.64/33.25 ( (is_of @ '#sk2' @
% 163.64/33.25 ('#ty_enc7' @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))),
% 163.64/33.25 inference('remove_ty_args', [status(thm)], [zip_derived_cl648])).
% 163.64/33.25 thf(zip_derived_cl654, plain,
% 163.64/33.25 ( (is_of @ '#sk3' @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl653])).
% 163.64/33.25 thf(zip_derived_cl5148, plain,
% 163.64/33.25 ( (is_of @ '#sk3' @
% 163.64/33.25 ('#ty_enc7' @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))),
% 163.64/33.25 inference('remove_ty_args', [status(thm)], [zip_derived_cl654])).
% 163.64/33.25 thf(zip_derived_cl662, plain,
% 163.64/33.25 ( (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl661])).
% 163.64/33.25 thf(zip_derived_cl664, plain,
% 163.64/33.25 ( (((l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 lessf))))) =>
% 163.64/33.25 ($false)))),
% 163.64/33.25 inference('rw_clause', [status(thm)], [zip_derived_cl662, '13'])).
% 163.64/33.25 thf(zip_derived_cl666, plain,
% 163.64/33.25 ( (((~) @ (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 lessf)))))))),
% 163.64/33.25 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl664])).
% 163.64/33.25 thf(zip_derived_cl667, plain,
% 163.64/33.25 (~ (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 lessf)))))),
% 163.64/33.25 inference('simplify nested equalities', [status(thm)],
% 163.64/33.25 [zip_derived_cl666])).
% 163.64/33.25 thf(zip_derived_cl5150, plain,
% 163.64/33.25 (~ (l_some @ frac @
% 163.64/33.25 ('#ty_enc8' @ (l_some @ frac) @
% 163.64/33.25 ('#ty_enc9' @
% 163.64/33.25 ('#ty_enc10' @ '#ty_enc15' @
% 163.64/33.25 ('#ty_enc11' @
% 163.64/33.25 ('#ty_enc12' @ '#ty_enc14' @
% 163.64/33.25 ('#ty_enc13' @ and3 @ ('#ty_enc7' @ inf @ '#sk2'))) @
% 163.64/33.25 ('#ty_enc7' @ inf @ '#sk3'))) @
% 163.64/33.25 lessf)))),
% 163.64/33.25 inference('remove_ty_args', [status(thm)], [zip_derived_cl667])).
% 163.64/33.25 thf(zip_derived_cl657, plain,
% 163.64/33.25 (~ (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ '#sk2')))))) @
% 163.64/33.25 ((('#C') @ inf @ '#sk3')))))) @
% 163.64/33.25 moref)))))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl655])).
% 163.64/33.25 thf(zip_derived_cl5149, plain,
% 163.64/33.25 (~ (l_some @ frac @
% 163.64/33.25 ('#ty_enc8' @ (l_some @ frac) @
% 163.64/33.25 ('#ty_enc9' @
% 163.64/33.25 ('#ty_enc10' @ '#ty_enc15' @
% 163.64/33.25 ('#ty_enc11' @
% 163.64/33.25 ('#ty_enc12' @ '#ty_enc14' @
% 163.64/33.25 ('#ty_enc13' @ and3 @ ('#ty_enc7' @ inf @ '#sk2'))) @
% 163.64/33.25 ('#ty_enc7' @ inf @ '#sk3'))) @
% 163.64/33.25 moref)))),
% 163.64/33.25 inference('remove_ty_args', [status(thm)], [zip_derived_cl657])).
% 163.64/33.25 thf(satz81e, axiom,
% 163.64/33.25 (all_of @
% 163.64/33.25 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @
% 163.64/33.25 ( ^[X0:$i]:
% 163.64/33.25 ( all_of @
% 163.64/33.25 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @
% 163.64/33.25 ( ^[X1:$i]:
% 163.64/33.25 ( ( d_not @ ( rt_more @ X0 @ X1 ) ) => ( rt_lessis @ X0 @ X1 ) ) ) ) ))).
% 163.64/33.25 thf(zip_derived_cl497, plain,
% 163.64/33.25 ( (all_of @ (^[Y0 : $i]: (in @ Y0 @ rat)) @
% 163.64/33.25 (^[Y0 : $i]:
% 163.64/33.25 (all_of @ (^[Y1 : $i]: (in @ Y1 @ rat)) @
% 163.64/33.25 (^[Y1 : $i]:
% 163.64/33.25 (((d_not @ (rt_more @ Y0 @ Y1)) => (rt_lessis @ Y0 @ Y1)))))))),
% 163.64/33.25 inference('cnf', [status(esa)], [satz81e])).
% 163.64/33.25 thf(zip_derived_cl498, plain,
% 163.64/33.25 ( (all_of @ ((('#C') @ in @ rat)) @
% 163.64/33.25 ((('#B') @ (all_of @ ((('#C') @ in @ rat))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#B') @ ((('#B') @ (=>))) @
% 163.64/33.25 ((('#B') @ ((('#B') @ d_not)) @ rt_more)))))) @
% 163.64/33.25 rt_lessis)))))),
% 163.64/33.25 inference('lams2combs', [status(thm)], [zip_derived_cl497])).
% 163.64/33.25 thf(zip_derived_cl1039, plain,
% 163.64/33.25 ( (all_of @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 163.64/33.25 ((('#B') @ (all_of @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#B') @ ((('#B') @ (=>))) @
% 163.64/33.25 ((('#B') @ ((('#B') @ d_not)) @ rt_more)))))) @
% 163.64/33.25 rt_lessis)))))),
% 163.64/33.25 inference('rw', [status(thm)], [zip_derived_cl498, '0', '1'])).
% 163.64/33.25 thf(def_all_of, axiom, (all_of @ X0 @ X1) =>
% 163.64/33.25 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) = ($true))).
% 163.64/33.25 thf('15', plain,
% 163.64/33.25 (![X0:( $i > $o ),X1:( $i > $o )]:
% 163.64/33.25 ( ( all_of @ X0 @ X1 ) <=>
% 163.64/33.25 ( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) )),
% 163.64/33.25 inference('rw.lit', [status(esa)], [def_all_of])).
% 163.64/33.25 thf(zip_derived_cl1040, plain,
% 163.64/33.25 ( (((!!) @ (^[Y0 : $i]:
% 163.64/33.25 (((is_of @ Y0 @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 163.64/33.25 ((('#B') @ (all_of @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @
% 163.64/33.25 (anec @ frac @ n_eq))))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#B') @ ((('#B') @ (=>))) @
% 163.64/33.25 ((('#B') @ ((('#B') @ d_not)) @ rt_more)))))) @
% 163.64/33.25 rt_lessis)) @
% 163.64/33.25 Y0)))))))),
% 163.64/33.25 inference('rw_clause', [status(thm)], [zip_derived_cl1039, '15'])).
% 163.64/33.25 thf(zip_derived_cl1041, plain,
% 163.64/33.25 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 163.64/33.25 ((('#C') @ is_of @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @
% 163.64/33.25 (anec @ frac @ n_eq)))))))) @
% 163.64/33.25 ((('#B') @ (all_of @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#B') @ ((('#B') @ (=>))) @
% 163.64/33.25 ((('#B') @ ((('#B') @ d_not)) @ rt_more)))))) @
% 163.64/33.25 rt_lessis))))))))),
% 163.64/33.25 inference('comb-normalize', [status(thm)], [zip_derived_cl1040])).
% 163.64/33.25 thf(zip_derived_cl1042, plain,
% 163.64/33.25 (![X2 : $i]:
% 163.64/33.25 (((is_of @ X2 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 163.64/33.25 (all_of @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ (=>) @ ((('#B') @ d_not @ (rt_more @ X2))))) @
% 163.64/33.25 (rt_lessis @ X2))))))),
% 163.64/33.25 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1041])).
% 163.64/33.25 thf(zip_derived_cl1043, plain,
% 163.64/33.25 (![X2 : $i]:
% 163.64/33.25 (~ (is_of @ X2 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | (all_of @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ (=>) @ ((('#B') @ d_not @ (rt_more @ X2))))) @
% 163.64/33.25 (rt_lessis @ X2)))))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1042])).
% 163.64/33.25 thf(zip_derived_cl1044, plain,
% 163.64/33.25 (![X0 : $i]:
% 163.64/33.25 ( (((!!) @ (^[Y0 : $i]:
% 163.64/33.25 (((is_of @ Y0 @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 163.64/33.25 ((('#S') @ ((('#B') @ (=>) @
% 163.64/33.25 ((('#B') @ d_not @ (rt_more @ X0))))) @
% 163.64/33.25 (rt_lessis @ X0) @ Y0)))))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 163.64/33.25 inference('rw_clause', [status(thm)], [zip_derived_cl1043, '15'])).
% 163.64/33.25 thf(zip_derived_cl1045, plain,
% 163.64/33.25 (![X0 : $i]:
% 163.64/33.25 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 163.64/33.25 ((('#C') @ is_of @
% 163.64/33.25 ((('#C') @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @
% 163.64/33.25 (anec @ frac @ n_eq)))))))) @
% 163.64/33.25 ((('#S') @ ((('#B') @ (=>) @
% 163.64/33.25 ((('#B') @ d_not @ (rt_more @ X0))))) @
% 163.64/33.25 (rt_lessis @ X0)))))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 163.64/33.25 inference('comb-normalize', [status(thm)], [zip_derived_cl1044])).
% 163.64/33.25 thf(zip_derived_cl1046, plain,
% 163.64/33.25 (![X0 : $i, X2 : $i]:
% 163.64/33.25 ( (((is_of @ X2 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 163.64/33.25 (((d_not @ (rt_more @ X0 @ X2)) => (rt_lessis @ X0 @ X2)))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 163.64/33.25 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1045])).
% 163.64/33.25 thf(zip_derived_cl1047, plain,
% 163.64/33.25 (![X0 : $i, X2 : $i]:
% 163.64/33.25 ( (((is_of @ X2 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))) =>
% 163.64/33.25 (((imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X2)))))) @
% 163.64/33.25 moref))))) @
% 163.64/33.25 ($false)) => (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X2)))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 (((X0) = (X2))))))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 163.64/33.25 inference('rw', [status(thm)],
% 163.64/33.25 [zip_derived_cl1046, '3', '3', '4', '5', '6', '6', '0', '7',
% 163.64/33.25 '7', '1', '8', '9', '9', '10', '11', '12'])).
% 163.64/33.25 thf(zip_derived_cl1048, plain,
% 163.64/33.25 (![X0 : $i, X2 : $i]:
% 163.64/33.25 (~ (is_of @ X2 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | (((imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X2)))))) @
% 163.64/33.25 moref))))) @
% 163.64/33.25 ($false)) => (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X2)))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 (((X0) = (X2))))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1047])).
% 163.64/33.25 thf(zip_derived_cl1049, plain,
% 163.64/33.25 (![X0 : $i, X2 : $i]:
% 163.64/33.25 (~ (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X2)))))) @
% 163.64/33.25 moref))))) @
% 163.64/33.25 ($false))
% 163.64/33.25 | (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X2)))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 (((X0) = (X2))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | ~ (is_of @ X2 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1048])).
% 163.64/33.25 thf(zip_derived_cl1050, plain,
% 163.64/33.25 (![X0 : $i, X1 : $i]:
% 163.64/33.25 (~ (((l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 moref))))) =>
% 163.64/33.25 ($false)))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | ~ (is_of @ X1 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 (((X1) = (X0)))))),
% 163.64/33.25 inference('rw_clause', [status(thm)], [zip_derived_cl1049, '14'])).
% 163.64/33.25 thf(zip_derived_cl1051, plain,
% 163.64/33.25 (![X0 : $i, X1 : $i]:
% 163.64/33.25 (~ (((~) @ (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 moref)))))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | ~ (is_of @ X1 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 (((X1) = (X0)))))),
% 163.64/33.25 inference('simplify boolean subterms', [status(thm)],
% 163.64/33.25 [zip_derived_cl1050])).
% 163.64/33.25 thf(zip_derived_cl1052, plain,
% 163.64/33.25 (![X0 : $i, X1 : $i]:
% 163.64/33.25 ( (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @ ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 moref)))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | ~ (is_of @ X1 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | (imp @
% 163.64/33.25 (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) @
% 163.64/33.25 (((X1) = (X0)))))),
% 163.64/33.25 inference('simplify nested equalities', [status(thm)],
% 163.64/33.25 [zip_derived_cl1051])).
% 163.64/33.25 thf(zip_derived_cl1053, plain,
% 163.64/33.25 (![X0 : $i, X1 : $i]:
% 163.64/33.25 ( (((imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false)) => (((X0) = (X1)))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | ~ (is_of @ X1 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 moref))))))),
% 163.64/33.25 inference('rw_clause', [status(thm)], [zip_derived_cl1052, '13'])).
% 163.64/33.25 thf(zip_derived_cl1054, plain,
% 163.64/33.25 (![X0 : $i, X1 : $i]:
% 163.64/33.25 (~ (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false))
% 163.64/33.25 | (((X0) = (X1)))
% 163.64/33.25 | (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 moref)))))
% 163.64/33.25 | ~ (is_of @ X1 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 163.64/33.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1053])).
% 163.64/33.25 thf(zip_derived_cl1055, plain,
% 163.64/33.25 (![X0 : $i, X1 : $i]:
% 163.64/33.25 (~ (imp @
% 163.64/33.25 (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 lessf))))) @
% 163.64/33.25 ($false))
% 163.64/33.25 | ((X0) = (X1))
% 163.64/33.25 | (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 moref)))))
% 163.64/33.25 | ~ (is_of @ X1 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))))),
% 163.64/33.25 inference('simplify nested equalities', [status(thm)],
% 163.64/33.25 [zip_derived_cl1054])).
% 163.64/33.25 thf(zip_derived_cl1056, plain,
% 163.64/33.25 (![X0 : $i, X1 : $i]:
% 163.64/33.25 (~ (((l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 lessf))))) =>
% 163.64/33.25 ($false)))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | ~ (is_of @ X1 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 moref)))))
% 163.64/33.25 | ((X0) = (X1)))),
% 163.64/33.25 inference('rw_clause', [status(thm)], [zip_derived_cl1055, '14'])).
% 163.64/33.25 thf(zip_derived_cl1057, plain,
% 163.64/33.25 (![X0 : $i, X1 : $i]:
% 163.64/33.25 (~ (((~) @ (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 lessf)))))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | ~ (is_of @ X1 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 moref)))))
% 163.64/33.25 | ((X0) = (X1)))),
% 163.64/33.25 inference('simplify boolean subterms', [status(thm)],
% 163.64/33.25 [zip_derived_cl1056])).
% 163.64/33.25 thf(zip_derived_cl1058, plain,
% 163.64/33.25 (![X0 : $i, X1 : $i]:
% 163.64/33.25 ( (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @ ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 lessf)))))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | ~ (is_of @ X1 @
% 163.64/33.25 ((('#C') @ in @ (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq)))))
% 163.64/33.25 | (l_some @ frac @
% 163.64/33.25 ((('#B') @ (l_some @ frac) @
% 163.64/33.25 ((('#S') @ ((('#B') @ ('#S') @
% 163.64/33.25 ((('#C') @ ((('#B') @ ('#B') @
% 163.64/33.25 ((('#B') @ and3 @
% 163.64/33.25 ((('#C') @ inf @ X0)))))) @
% 163.64/33.25 ((('#C') @ inf @ X1)))))) @
% 163.64/33.25 moref)))))
% 163.64/33.25 | ((X0) = (X1)))),
% 163.64/33.25 inference('simplify nested equalities', [status(thm)],
% 163.64/33.25 [zip_derived_cl1057])).
% 163.64/33.25 thf(zip_derived_cl5171, plain,
% 163.64/33.25 (![X0 : $i, X1 : $i]:
% 163.64/33.25 ( (l_some @ frac @
% 163.64/33.25 ('#ty_enc8' @ (l_some @ frac) @
% 163.64/33.25 ('#ty_enc9' @
% 163.64/33.25 ('#ty_enc10' @ '#ty_enc15' @
% 163.64/33.25 ('#ty_enc11' @
% 163.64/33.25 ('#ty_enc12' @ '#ty_enc14' @
% 163.64/33.25 ('#ty_enc13' @ and3 @ ('#ty_enc7' @ inf @ X0))) @
% 163.64/33.25 ('#ty_enc7' @ inf @ X1))) @
% 163.64/33.25 lessf)))
% 163.64/33.25 | ~ (is_of @ X0 @
% 163.64/33.25 ('#ty_enc7' @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))
% 163.64/33.25 | ~ (is_of @ X1 @
% 163.64/33.25 ('#ty_enc7' @ in @
% 163.64/33.25 (d_Sep @ (power @ frac) @ (anec @ frac @ n_eq))))
% 163.64/33.25 | (l_some @ frac @
% 163.64/33.25 ('#ty_enc8' @ (l_some @ frac) @
% 163.64/33.25 ('#ty_enc9' @
% 163.64/33.25 ('#ty_enc10' @ '#ty_enc15' @
% 163.64/33.25 ('#ty_enc11' @
% 163.64/33.25 ('#ty_enc12' @ '#ty_enc14' @
% 163.64/33.25 ('#ty_enc13' @ and3 @ ('#ty_enc7' @ inf @ X0))) @
% 163.64/33.25 ('#ty_enc7' @ inf @ X1))) @
% 163.64/33.25 moref)))
% 163.64/33.25 | ((X0) = (X1)))),
% 163.64/33.25 inference('remove_ty_args', [status(thm)], [zip_derived_cl1058])).
% 163.64/33.25 thf(zip_derived_cl5275, plain, ($false),
% 163.64/33.25 inference('eprover', [status(thm)],
% 163.64/33.25 [zip_derived_cl665, zip_derived_cl5147, zip_derived_cl5148,
% 163.64/33.25 zip_derived_cl5150, zip_derived_cl5149, zip_derived_cl5171])).
% 163.64/33.25
% 163.64/33.25 % SZS output end Refutation
% 163.64/33.25
% 163.64/33.25
% 163.64/33.25 % Terminating...
% 164.30/33.46 % Runner terminated.
% 164.33/33.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------