%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM654^4 : 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.232I4h0yrA true
% Computer : n014.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 04:47:50 PM UTC 2025
% Result : Theorem 17.29s 2.81s
% Output : Refutation 17.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM654^4 : TPTP v9.2.0. Released v7.1.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.232I4h0yrA true
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 16:20:08 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in HO mode
% 0.54/0.63 % Total configuration time : 828
% 0.54/0.63 % Estimated wc time : 1656
% 0.54/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 3.93/1.12 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 17.29/2.81 % Solved by lams/40_b.comb.sh.
% 17.29/2.81 % done 174 iterations in 2.038s
% 17.29/2.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.29/2.81 % SZS output start Refutation
% 17.29/2.81 thf(d_29_ii_type, type, d_29_ii: $i > $i > $o).
% 17.29/2.81 thf(orec3_type, type, orec3: $o > $o > $o > $o).
% 17.29/2.81 thf(nat_type, type, nat: $i).
% 17.29/2.81 thf(lessis_type, type, lessis: $i > $i > $o).
% 17.29/2.81 thf(and3_type, type, and3: $o > $o > $o > $o).
% 17.29/2.81 thf(is_of_type, type, is_of: $i > ($i > $o) > $o).
% 17.29/2.81 thf(in_type, type, in: $i > $i > $o).
% 17.29/2.81 thf(l_some_type, type, l_some: $i > ($i > $o) > $o).
% 17.29/2.81 thf(d_Sep_type, type, d_Sep: $i > ($i > $o) > $i).
% 17.29/2.81 thf(emptyset_type, type, emptyset: $i).
% 17.29/2.81 thf(n_is_type, type, n_is: $i > $i > $o).
% 17.29/2.81 thf(l_ec_type, type, l_ec: $o > $o > $o).
% 17.29/2.81 thf('#sk2_type', type, '#sk2': $i).
% 17.29/2.81 thf(imp_type, type, imp: $o > $o > $o).
% 17.29/2.81 thf(ec3_type, type, ec3: $o > $o > $o > $o).
% 17.29/2.81 thf(d_and_type, type, d_and: $o > $o > $o).
% 17.29/2.81 thf(omega_type, type, omega: $i).
% 17.29/2.81 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o).
% 17.29/2.81 thf(diffprop_type, type, diffprop: $i > $i > $i > $o).
% 17.29/2.81 thf('#sk3_type', type, '#sk3': $i).
% 17.29/2.81 thf(n_some_type, type, n_some: ($i > $o) > $o).
% 17.29/2.81 thf(l_or_type, type, l_or: $o > $o > $o).
% 17.29/2.81 thf(d_not_type, type, d_not: $o > $o).
% 17.29/2.81 thf(iii_type, type, iii: $i > $i > $o).
% 17.29/2.81 thf(or3_type, type, or3: $o > $o > $o > $o).
% 17.29/2.81 thf(e_is_type, type, e_is: $i > $i > $i > $o).
% 17.29/2.81 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 17.29/2.81 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 17.29/2.81 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 17.29/2.81 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 17.29/2.81 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 17.29/2.81 thf(satz10e, conjecture,
% 17.29/2.81 (all_of @
% 17.29/2.81 ( ^[X0:$i]: ( in @ X0 @ nat ) ) @
% 17.29/2.81 ( ^[X0:$i]:
% 17.29/2.81 ( all_of @
% 17.29/2.81 ( ^[X1:$i]: ( in @ X1 @ nat ) ) @
% 17.29/2.81 ( ^[X1:$i]:
% 17.29/2.81 ( ( d_not @ ( d_29_ii @ X0 @ X1 ) ) => ( lessis @ X0 @ X1 ) ) ) ) ))).
% 17.29/2.81 thf(zf_stmt_0, negated_conjecture,
% 17.29/2.81 (~( all_of @
% 17.29/2.81 ( ^[X0:$i]: ( in @ X0 @ nat ) ) @
% 17.29/2.81 ( ^[X0:$i]:
% 17.29/2.81 ( all_of @
% 17.29/2.81 ( ^[X1:$i]: ( in @ X1 @ nat ) ) @
% 17.29/2.81 ( ^[X1:$i]:
% 17.29/2.81 ( ( d_not @ ( d_29_ii @ X0 @ X1 ) ) => ( lessis @ X0 @ X1 ) ) ) ) ) )),
% 17.29/2.81 inference('cnf.neg', [status(esa)], [satz10e])).
% 17.29/2.81 thf(zip_derived_cl97, plain,
% 17.29/2.81 (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @
% 17.29/2.81 (^[Y0 : $i]:
% 17.29/2.81 (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @
% 17.29/2.81 (^[Y1 : $i]:
% 17.29/2.81 (((d_not @ (d_29_ii @ Y0 @ Y1)) => (lessis @ Y0 @ Y1)))))))),
% 17.29/2.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.29/2.81 thf(zip_derived_cl98, plain,
% 17.29/2.81 (~ (all_of @ ((('#C') @ in @ nat)) @
% 17.29/2.81 ((('#B') @ (all_of @ ((('#C') @ in @ nat))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#B') @ ((('#B') @ (=>))) @
% 17.29/2.81 ((('#B') @ ((('#B') @ d_not)) @ d_29_ii)))))) @
% 17.29/2.81 lessis)))))),
% 17.29/2.81 inference('lams2combs', [status(thm)], [zip_derived_cl97])).
% 17.29/2.81 thf(def_nat, axiom,(( nat ) =
% 17.29/2.81 ((d_Sep @ omega @ (^[Y0 : $i]: (((Y0) != (emptyset)))))))).
% 17.29/2.81 thf('0', plain,
% 17.29/2.81 (( nat ) = ( d_Sep @ omega @ ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(zip_derived_cl165, plain,
% 17.29/2.81 (~ (all_of @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @
% 17.29/2.81 ((('#B') @ (all_of @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#B') @ ((('#B') @ (=>))) @
% 17.29/2.81 ((('#B') @ ((('#B') @ d_not)) @ d_29_ii)))))) @
% 17.29/2.81 lessis)))))),
% 17.29/2.81 inference('rw', [status(thm)], [zip_derived_cl98, '0'])).
% 17.29/2.81 thf(def_all_of, axiom, ~ (all_of @ X0 @ X1) =>
% 17.29/2.81 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) != ($true))).
% 17.29/2.81 thf('1', plain,
% 17.29/2.81 (![X0:( $i > $o ),X1:( $i > $o )]:
% 17.29/2.81 ( ( ~( all_of @ X0 @ X1 ) ) <=>
% 17.29/2.81 ( ~( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) ) )),
% 17.29/2.81 inference('rw.lit', [status(esa)], [def_all_of])).
% 17.29/2.81 thf(zip_derived_cl166, plain,
% 17.29/2.81 (~ (((!!) @ (^[Y0 : $i]:
% 17.29/2.81 (((is_of @ Y0 @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) =>
% 17.29/2.81 ((('#B') @ (all_of @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @
% 17.29/2.81 ((('#C') @ (!=) @ emptyset)))))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#B') @ ((('#B') @ (=>))) @
% 17.29/2.81 ((('#B') @ ((('#B') @ d_not)) @ d_29_ii)))))) @
% 17.29/2.81 lessis)) @
% 17.29/2.81 Y0)))))))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl165, '1'])).
% 17.29/2.81 thf(zip_derived_cl167, plain,
% 17.29/2.81 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 17.29/2.81 ((('#C') @ is_of @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @
% 17.29/2.81 ((('#C') @ (!=) @ emptyset))))))))) @
% 17.29/2.81 ((('#B') @ (all_of @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#B') @ ((('#B') @ (=>))) @
% 17.29/2.81 ((('#B') @ ((('#B') @ d_not)) @ d_29_ii)))))) @
% 17.29/2.81 lessis))))))))),
% 17.29/2.81 inference('comb-normalize', [status(thm)], [zip_derived_cl166])).
% 17.29/2.81 thf(zip_derived_cl168, plain,
% 17.29/2.81 (~ (((is_of @ '#sk2' @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) =>
% 17.29/2.81 (all_of @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ (=>) @ ((('#B') @ d_not @ (d_29_ii @ '#sk2'))))) @
% 17.29/2.81 (lessis @ '#sk2'))))))),
% 17.29/2.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl167])).
% 17.29/2.81 thf(def_is_of, axiom,(( is_of @ (X1)@ (X0)) = ((X0 @ X1)))).
% 17.29/2.81 thf('2', plain,
% 17.29/2.81 (![X0:( $i > $o ),X1:$i]: ( ( is_of @ X1 @ X0 ) = ( X0 @ X1 ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(zip_derived_cl169, plain,
% 17.29/2.81 (~ (((in @ '#sk2' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) =>
% 17.29/2.81 (all_of @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ (=>) @ ((('#B') @ d_not @ (d_29_ii @ '#sk2'))))) @
% 17.29/2.81 (lessis @ '#sk2'))))))),
% 17.29/2.81 inference('rw', [status(thm)], [zip_derived_cl168, '2'])).
% 17.29/2.81 thf(zip_derived_cl171, plain,
% 17.29/2.81 (~ (all_of @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ (=>) @ ((('#B') @ d_not @ (d_29_ii @ '#sk2'))))) @
% 17.29/2.81 (lessis @ '#sk2'))))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl169])).
% 17.29/2.81 thf(zip_derived_cl172, plain,
% 17.29/2.81 (~ (((!!) @ (^[Y0 : $i]:
% 17.29/2.81 (((is_of @ Y0 @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) =>
% 17.29/2.81 ((('#S') @ ((('#B') @ (=>) @
% 17.29/2.81 ((('#B') @ d_not @ (d_29_ii @ '#sk2'))))) @
% 17.29/2.81 (lessis @ '#sk2') @ Y0)))))))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl171, '1'])).
% 17.29/2.81 thf(zip_derived_cl173, plain,
% 17.29/2.81 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 17.29/2.81 ((('#C') @ is_of @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @
% 17.29/2.81 ((('#C') @ (!=) @ emptyset))))))))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ (=>) @
% 17.29/2.81 ((('#B') @ d_not @ (d_29_ii @ '#sk2'))))) @
% 17.29/2.81 (lessis @ '#sk2')))))))),
% 17.29/2.81 inference('comb-normalize', [status(thm)], [zip_derived_cl172])).
% 17.29/2.81 thf(zip_derived_cl174, plain,
% 17.29/2.81 (~ (((is_of @ '#sk3' @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) =>
% 17.29/2.81 (((d_not @ (d_29_ii @ '#sk2' @ '#sk3')) => (lessis @ '#sk2' @
% 17.29/2.81 '#sk3')))))),
% 17.29/2.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl173])).
% 17.29/2.81 thf(def_d_not, axiom,(( d_not @ (X0)) = ((imp @ X0 @ ($false))))).
% 17.29/2.81 thf('3', plain, (![X0:$o]: ( ( d_not @ X0 ) = ( imp @ X0 @ $false ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_l_or, axiom,(( l_or @ (X0)@ (X1)) = ((imp @ (d_not @ X0) @ X1)))).
% 17.29/2.81 thf('4', plain,
% 17.29/2.81 (![X1:$o,X0:$o]: ( ( l_or @ X0 @ X1 ) = ( imp @ ( d_not @ X0 ) @ X1 ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_e_is, axiom,(( e_is @ (X2)@ (X0)@ (X1)) = ((((X0) = (X1)))))).
% 17.29/2.81 thf('5', plain,
% 17.29/2.81 (![X2:$i,X1:$i,X0:$i]: ( ( e_is @ X2 @ X0 @ X1 ) = ( ( X0 ) = ( X1 ) ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_n_is, axiom,(( n_is @ (X0)@ (X1)) = ((e_is @ nat @ X0 @ X1)))).
% 17.29/2.81 thf('6', plain,
% 17.29/2.81 (![X1:$i,X0:$i]: ( ( n_is @ X0 @ X1 ) = ( e_is @ nat @ X0 @ X1 ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_n_some, axiom,(( n_some @ (X0)) = ((l_some @ nat @ X0)))).
% 17.29/2.81 thf('7', plain,
% 17.29/2.81 (![X0:( $i > $o )]: ( ( n_some @ X0 ) = ( l_some @ nat @ X0 ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_d_29_ii, axiom,(( d_29_ii @ (X0)@ (X1)) =
% 17.29/2.81 ((n_some @ (diffprop @ X0 @ X1))))).
% 17.29/2.81 thf('8', plain,
% 17.29/2.81 (![X1:$i,X0:$i]:
% 17.29/2.81 ( ( d_29_ii @ X0 @ X1 ) = ( n_some @ ( diffprop @ X0 @ X1 ) ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_iii, axiom,(( iii @ (X1)@ (X0)) = ((n_some @ (diffprop @ X0 @ X1))))).
% 17.29/2.81 thf('9', plain,
% 17.29/2.81 (![X1:$i,X0:$i]:
% 17.29/2.81 ( ( iii @ X1 @ X0 ) = ( n_some @ ( diffprop @ X0 @ X1 ) ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_lessis, axiom,(( lessis @ (X0)@ (X1)) =
% 17.29/2.81 ((l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))))).
% 17.29/2.81 thf('10', plain,
% 17.29/2.81 (![X1:$i,X0:$i]:
% 17.29/2.81 ( ( lessis @ X0 @ X1 ) =
% 17.29/2.81 ( l_or @ ( iii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(zip_derived_cl175, plain,
% 17.29/2.81 (~ (((in @ '#sk3' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) =>
% 17.29/2.81 (((imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk2' @ '#sk3')) @
% 17.29/2.81 ($false)) => (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk3' @ '#sk2')) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ((('#sk2') = ('#sk3'))))))))),
% 17.29/2.81 inference('rw', [status(thm)],
% 17.29/2.81 [zip_derived_cl174, '2', '3', '3', '4', '5', '0', '6', '7',
% 17.29/2.81 '7', '8', '9', '10'])).
% 17.29/2.81 thf(zip_derived_cl177, plain,
% 17.29/2.81 (~ (((imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk2' @ '#sk3')) @
% 17.29/2.81 ($false)) => (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk3' @ '#sk2')) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ((('#sk2') = ('#sk3'))))))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl175])).
% 17.29/2.81 thf(zip_derived_cl179, plain,
% 17.29/2.81 (~ (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk3' @ '#sk2')) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ((('#sk2') = ('#sk3'))))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl177])).
% 17.29/2.81 thf(def_imp, axiom, ~ (imp @ X0 @ X1) => ((((X0) => (X1))) != ($true))).
% 17.29/2.81 thf('11', plain,
% 17.29/2.81 (![X0:$o,X1:$o]: ( ( ~( imp @ X0 @ X1 ) ) <=> ( ~( ( X0 ) => ( X1 ) ) ) )),
% 17.29/2.81 inference('rw.lit', [status(esa)], [def_imp])).
% 17.29/2.81 thf(zip_derived_cl181, plain,
% 17.29/2.81 (~ (((imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk3' @ '#sk2')) @
% 17.29/2.81 ($false)) => ((('#sk2') = ('#sk3')))))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl179, '11'])).
% 17.29/2.81 thf(zip_derived_cl184, plain,
% 17.29/2.81 ( (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk3' @ '#sk2')) @
% 17.29/2.81 ($false))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl181])).
% 17.29/2.81 thf(def_imp, axiom, (imp @ X0 @ X1) => ((((X0) => (X1))) = ($true))).
% 17.29/2.81 thf('12', plain,
% 17.29/2.81 (![X0:$o,X1:$o]: ( ( imp @ X0 @ X1 ) <=> ( ( X0 ) => ( X1 ) ) )),
% 17.29/2.81 inference('rw.lit', [status(esa)], [def_imp])).
% 17.29/2.81 thf(zip_derived_cl186, plain,
% 17.29/2.81 ( (((l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk3' @ '#sk2')) => ($false)))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl184, '12'])).
% 17.29/2.81 thf(zip_derived_cl188, plain,
% 17.29/2.81 ( (((~) @ (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk3' @ '#sk2'))))),
% 17.29/2.81 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl186])).
% 17.29/2.81 thf(zip_derived_cl189, plain,
% 17.29/2.81 (~ (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk3' @ '#sk2'))),
% 17.29/2.81 inference('simplify nested equalities', [status(thm)],
% 17.29/2.81 [zip_derived_cl188])).
% 17.29/2.81 thf(zip_derived_cl178, plain,
% 17.29/2.81 ( (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk2' @ '#sk3')) @
% 17.29/2.81 ($false))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl177])).
% 17.29/2.81 thf(zip_derived_cl180, plain,
% 17.29/2.81 ( (((l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk2' @ '#sk3')) => ($false)))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl178, '12'])).
% 17.29/2.81 thf(zip_derived_cl182, plain,
% 17.29/2.81 ( (((~) @ (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk2' @ '#sk3'))))),
% 17.29/2.81 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl180])).
% 17.29/2.81 thf(zip_derived_cl183, plain,
% 17.29/2.81 (~ (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk2' @ '#sk3'))),
% 17.29/2.81 inference('simplify nested equalities', [status(thm)],
% 17.29/2.81 [zip_derived_cl182])).
% 17.29/2.81 thf(satz10, axiom,
% 17.29/2.81 (all_of @
% 17.29/2.81 ( ^[X0:$i]: ( in @ X0 @ nat ) ) @
% 17.29/2.81 ( ^[X0:$i]:
% 17.29/2.81 ( all_of @
% 17.29/2.81 ( ^[X1:$i]: ( in @ X1 @ nat ) ) @
% 17.29/2.81 ( ^[X1:$i]:
% 17.29/2.81 ( orec3 @
% 17.29/2.81 ( n_is @ X0 @ X1 ) @ ( d_29_ii @ X0 @ X1 ) @ ( iii @ X0 @ X1 ) ) ) ) ))).
% 17.29/2.81 thf(zip_derived_cl79, plain,
% 17.29/2.81 ( (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @
% 17.29/2.81 (^[Y0 : $i]:
% 17.29/2.81 (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @
% 17.29/2.81 (^[Y1 : $i]:
% 17.29/2.81 (orec3 @ (n_is @ Y0 @ Y1) @ (d_29_ii @ Y0 @ Y1) @
% 17.29/2.81 (iii @ Y0 @ Y1))))))),
% 17.29/2.81 inference('cnf', [status(esa)], [satz10])).
% 17.29/2.81 thf(zip_derived_cl80, plain,
% 17.29/2.81 ( (all_of @ ((('#C') @ in @ nat)) @
% 17.29/2.81 ((('#B') @ (all_of @ ((('#C') @ in @ nat))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#B') @ ((('#B') @ orec3)) @ n_is)))) @
% 17.29/2.81 d_29_ii)))) @
% 17.29/2.81 iii)))))),
% 17.29/2.81 inference('lams2combs', [status(thm)], [zip_derived_cl79])).
% 17.29/2.81 thf(zip_derived_cl395, plain,
% 17.29/2.81 ( (all_of @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @
% 17.29/2.81 ((('#B') @ (all_of @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#B') @ ((('#B') @ orec3)) @ n_is)))) @
% 17.29/2.81 d_29_ii)))) @
% 17.29/2.81 iii)))))),
% 17.29/2.81 inference('rw', [status(thm)], [zip_derived_cl80, '0'])).
% 17.29/2.81 thf(def_all_of, axiom, (all_of @ X0 @ X1) =>
% 17.29/2.81 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) = ($true))).
% 17.29/2.81 thf('13', plain,
% 17.29/2.81 (![X0:( $i > $o ),X1:( $i > $o )]:
% 17.29/2.81 ( ( all_of @ X0 @ X1 ) <=>
% 17.29/2.81 ( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) )),
% 17.29/2.81 inference('rw.lit', [status(esa)], [def_all_of])).
% 17.29/2.81 thf(zip_derived_cl396, plain,
% 17.29/2.81 ( (((!!) @ (^[Y0 : $i]:
% 17.29/2.81 (((is_of @ Y0 @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) =>
% 17.29/2.81 ((('#B') @ (all_of @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @
% 17.29/2.81 ((('#C') @ (!=) @ emptyset)))))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#B') @ ((('#B') @ orec3)) @
% 17.29/2.81 n_is)))) @
% 17.29/2.81 d_29_ii)))) @
% 17.29/2.81 iii)) @
% 17.29/2.81 Y0)))))))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl395, '13'])).
% 17.29/2.81 thf(zip_derived_cl397, plain,
% 17.29/2.81 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 17.29/2.81 ((('#C') @ is_of @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))))))) @
% 17.29/2.81 ((('#B') @ (all_of @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#S') @ ((('#B') @ ('#S') @
% 17.29/2.81 ((('#B') @ ((('#B') @ orec3)) @
% 17.29/2.81 n_is)))) @
% 17.29/2.81 d_29_ii)))) @
% 17.29/2.81 iii))))))))),
% 17.29/2.81 inference('comb-normalize', [status(thm)], [zip_derived_cl396])).
% 17.29/2.81 thf(zip_derived_cl398, plain,
% 17.29/2.81 (![X2 : $i]:
% 17.29/2.81 (((is_of @ X2 @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) =>
% 17.29/2.81 (all_of @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @
% 17.29/2.81 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (n_is @ X2))) @
% 17.29/2.81 (d_29_ii @ X2))) @
% 17.29/2.81 (iii @ X2))))))),
% 17.29/2.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl397])).
% 17.29/2.81 thf(zip_derived_cl399, plain,
% 17.29/2.81 (![X2 : $i]:
% 17.29/2.81 (((in @ X2 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) =>
% 17.29/2.81 (all_of @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @
% 17.29/2.81 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (n_is @ X2))) @
% 17.29/2.81 (d_29_ii @ X2))) @
% 17.29/2.81 (iii @ X2))))))),
% 17.29/2.81 inference('rw', [status(thm)], [zip_derived_cl398, '2'])).
% 17.29/2.81 thf(zip_derived_cl400, plain,
% 17.29/2.81 (![X2 : $i]:
% 17.29/2.81 (~ (in @ X2 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | (all_of @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @
% 17.29/2.81 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (n_is @ X2))) @
% 17.29/2.81 (d_29_ii @ X2))) @
% 17.29/2.81 (iii @ X2)))))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl399])).
% 17.29/2.81 thf(zip_derived_cl401, plain,
% 17.29/2.81 (![X0 : $i]:
% 17.29/2.81 ( (((!!) @ (^[Y0 : $i]:
% 17.29/2.81 (((is_of @ Y0 @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) =>
% 17.29/2.81 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (n_is @ X0))) @
% 17.29/2.81 (d_29_ii @ X0))) @
% 17.29/2.81 (iii @ X0) @ Y0)))))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl400, '13'])).
% 17.29/2.81 thf(zip_derived_cl402, plain,
% 17.29/2.81 (![X0 : $i]:
% 17.29/2.81 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 17.29/2.81 ((('#C') @ is_of @
% 17.29/2.81 ((('#C') @ in @
% 17.29/2.81 (d_Sep @ omega @
% 17.29/2.81 ((('#C') @ (!=) @ emptyset))))))))) @
% 17.29/2.81 ((('#S') @ ((('#S') @ ((('#B') @ orec3 @ (n_is @ X0))) @
% 17.29/2.81 (d_29_ii @ X0))) @
% 17.29/2.81 (iii @ X0)))))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('comb-normalize', [status(thm)], [zip_derived_cl401])).
% 17.29/2.81 thf(zip_derived_cl403, plain,
% 17.29/2.81 (![X0 : $i, X2 : $i]:
% 17.29/2.81 ( (((is_of @ X2 @
% 17.29/2.81 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) =>
% 17.29/2.81 (orec3 @ (n_is @ X0 @ X2) @ (d_29_ii @ X0 @ X2) @ (iii @ X0 @ X2))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl402])).
% 17.29/2.81 thf(def_l_ec, axiom,(( l_ec @ (X0)@ (X1)) = ((imp @ X0 @ (d_not @ X1))))).
% 17.29/2.81 thf('14', plain,
% 17.29/2.81 (![X1:$o,X0:$o]: ( ( l_ec @ X0 @ X1 ) = ( imp @ X0 @ ( d_not @ X1 ) ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_d_and, axiom,(( d_and @ (X0)@ (X1)) = ((d_not @ (l_ec @ X0 @ X1))))).
% 17.29/2.81 thf('15', plain,
% 17.29/2.81 (![X1:$o,X0:$o]: ( ( d_and @ X0 @ X1 ) = ( d_not @ ( l_ec @ X0 @ X1 ) ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_or3, axiom,(( or3 @ (X0)@ (X1)@ (X2)) =
% 17.29/2.81 ((l_or @ X0 @ (l_or @ X1 @ X2))))).
% 17.29/2.81 thf('16', plain,
% 17.29/2.81 (![X2:$o,X1:$o,X0:$o]:
% 17.29/2.81 ( ( or3 @ X0 @ X1 @ X2 ) = ( l_or @ X0 @ ( l_or @ X1 @ X2 ) ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_and3, axiom,(( and3 @ (X0)@ (X1)@ (X2)) =
% 17.29/2.81 ((d_and @ X0 @ (d_and @ X1 @ X2))))).
% 17.29/2.81 thf('17', plain,
% 17.29/2.81 (![X2:$o,X1:$o,X0:$o]:
% 17.29/2.81 ( ( and3 @ X0 @ X1 @ X2 ) = ( d_and @ X0 @ ( d_and @ X1 @ X2 ) ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_ec3, axiom,(( ec3 @ (X0)@ (X1)@ (X2)) =
% 17.29/2.81 ((and3 @ (l_ec @ X0 @ X1) @ (l_ec @ X1 @ X2) @ (l_ec @ X2 @ X0))))).
% 17.29/2.81 thf('18', plain,
% 17.29/2.81 (![X2:$o,X1:$o,X0:$o]:
% 17.29/2.81 ( ( ec3 @ X0 @ X1 @ X2 ) =
% 17.29/2.81 ( and3 @ ( l_ec @ X0 @ X1 ) @ ( l_ec @ X1 @ X2 ) @ ( l_ec @ X2 @ X0 ) ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(def_orec3, axiom,(( orec3 @ (X0)@ (X1)@ (X2)) =
% 17.29/2.81 ((d_and @ (or3 @ X0 @ X1 @ X2) @ (ec3 @ X0 @ X1 @ X2))))).
% 17.29/2.81 thf('19', plain,
% 17.29/2.81 (![X2:$o,X1:$o,X0:$o]:
% 17.29/2.81 ( ( orec3 @ X0 @ X1 @ X2 ) =
% 17.29/2.81 ( d_and @ ( or3 @ X0 @ X1 @ X2 ) @ ( ec3 @ X0 @ X1 @ X2 ) ) )),
% 17.29/2.81 define([status(thm)])).
% 17.29/2.81 thf(zip_derived_cl404, plain,
% 17.29/2.81 (![X0 : $i, X2 : $i]:
% 17.29/2.81 ( (((in @ X2 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) =>
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @ (imp @ (((X0) = (X2))) @ ($false)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X2)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X2 @ X0)))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @ (((X0) = (X2))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X2)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X2)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X2 @ X0)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X2 @ X0)) @
% 17.29/2.81 (imp @ (((X0) = (X2))) @ ($false))) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('rw', [status(thm)],
% 17.29/2.81 [zip_derived_cl403, '2', '3', '3', '3', '3', '3', '3', '3',
% 17.29/2.81 '3', '3', '14', '14', '14', '14', '14', '14', '15', '15',
% 17.29/2.81 '15', '4', '4', '16', '17', '18', '19', '5', '0', '6', '7',
% 17.29/2.81 '7', '8', '9'])).
% 17.29/2.81 thf(zip_derived_cl405, plain,
% 17.29/2.81 (![X0 : $i, X2 : $i]:
% 17.29/2.81 (~ (in @ X2 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @ (imp @ (((X0) = (X2))) @ ($false)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X2)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X2 @ X0)))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @ (((X0) = (X2))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X2)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X2)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X2 @ X0)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X2 @ X0)) @
% 17.29/2.81 (imp @ (((X0) = (X2))) @ ($false))) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl404])).
% 17.29/2.81 thf(zip_derived_cl406, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 ( (((imp @
% 17.29/2.81 (imp @ (imp @ (((X0) = (X1))) @ ($false)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @ (((X0) = (X1))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 (imp @ (((X0) = (X1))) @ ($false))) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false))) =>
% 17.29/2.81 ($false)))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl405, '12'])).
% 17.29/2.81 thf(zip_derived_cl407, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 ( (((~) @ (imp @
% 17.29/2.81 (imp @ (imp @ (((X0) = (X1))) @ ($false)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @ (((X0) = (X1))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 (imp @ (((X0) = (X1))) @ ($false))) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false)))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl406])).
% 17.29/2.81 thf(zip_derived_cl408, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 (~ (imp @
% 17.29/2.81 (imp @ (imp @ (((X0) = (X1))) @ ($false)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @ (((X0) = (X1))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 (imp @ (((X0) = (X1))) @ ($false))) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false)))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('simplify nested equalities', [status(thm)],
% 17.29/2.81 [zip_derived_cl407])).
% 17.29/2.81 thf(zip_derived_cl409, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 (~ (((imp @ (imp @ (((X1) = (X0))) @ ($false)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)))) =>
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @ (((X1) = (X0))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 (imp @ (((X1) = (X0))) @ ($false))) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false))) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 ($false))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl408, '11'])).
% 17.29/2.81 thf(zip_derived_cl410, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 ( (imp @ (imp @ (((X1) = (X0))) @ ($false)) @
% 17.29/2.81 (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl409])).
% 17.29/2.81 thf(zip_derived_cl412, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 ( (((imp @ (((X1) = (X0))) @ ($false)) => (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl410, '12'])).
% 17.29/2.81 thf(zip_derived_cl414, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 (~ (imp @ (((X1) = (X0))) @ ($false))
% 17.29/2.81 | (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl412])).
% 17.29/2.81 thf(zip_derived_cl418, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 (~ (((((X1) = (X0))) => ($false)))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1))))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl414, '11'])).
% 17.29/2.81 thf(zip_derived_cl422, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 (~ (((~) @ (((X1) = (X0)))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1))))),
% 17.29/2.81 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl418])).
% 17.29/2.81 thf(zip_derived_cl423, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 (((X1) = (X0))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | (imp @
% 17.29/2.81 (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)) @
% 17.29/2.81 ($false)) @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1))))),
% 17.29/2.81 inference('simplify nested equalities', [status(thm)],
% 17.29/2.81 [zip_derived_cl422])).
% 17.29/2.81 thf(zip_derived_cl424, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 ( (((imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 ($false)) => (l_some @
% 17.29/2.81 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ((X0) = (X1)))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl423, '12'])).
% 17.29/2.81 thf(zip_derived_cl427, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 (~ (imp @
% 17.29/2.81 (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) @
% 17.29/2.81 ($false))
% 17.29/2.81 | (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0))
% 17.29/2.81 | ((X0) = (X1))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl424])).
% 17.29/2.81 thf(zip_derived_cl430, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 (~ (((l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1)) => ($false)))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ((X0) = (X1))
% 17.29/2.81 | (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)))),
% 17.29/2.81 inference('rw_clause', [status(thm)], [zip_derived_cl427, '11'])).
% 17.29/2.81 thf(zip_derived_cl435, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 (~ (((~) @ (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1))))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ((X0) = (X1))
% 17.29/2.81 | (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)))),
% 17.29/2.81 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl430])).
% 17.29/2.81 thf(zip_derived_cl436, plain,
% 17.29/2.81 (![X0 : $i, X1 : $i]:
% 17.29/2.81 ( (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X0 @ X1))
% 17.29/2.81 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ X1 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ((X0) = (X1))
% 17.29/2.81 | (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ X1 @ X0)))),
% 17.29/2.81 inference('simplify nested equalities', [status(thm)],
% 17.29/2.81 [zip_derived_cl435])).
% 17.29/2.81 thf(zip_derived_cl1774, plain,
% 17.29/2.81 (( (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk3' @ '#sk2'))
% 17.29/2.81 | (('#sk2') = ('#sk3'))
% 17.29/2.81 | ~ (in @ '#sk3' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))
% 17.29/2.81 | ~ (in @ '#sk2' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))),
% 17.29/2.81 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl436])).
% 17.29/2.81 thf(zip_derived_cl176, plain,
% 17.29/2.81 ( (in @ '#sk3' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl175])).
% 17.29/2.81 thf(zip_derived_cl170, plain,
% 17.29/2.81 ( (in @ '#sk2' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl169])).
% 17.29/2.81 thf(zip_derived_cl1792, plain,
% 17.29/2.81 (( (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk3' @ '#sk2'))
% 17.29/2.81 | (('#sk2') = ('#sk3')))),
% 17.29/2.81 inference('demod', [status(thm)],
% 17.29/2.81 [zip_derived_cl1774, zip_derived_cl176, zip_derived_cl170])).
% 17.29/2.81 thf(zip_derived_cl185, plain, (~ ((('#sk2') = ('#sk3')))),
% 17.29/2.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl181])).
% 17.29/2.81 thf(zip_derived_cl187, plain, ((('#sk2') != ('#sk3'))),
% 17.29/2.81 inference('simplify nested equalities', [status(thm)],
% 17.29/2.81 [zip_derived_cl185])).
% 17.29/2.81 thf(zip_derived_cl1793, plain,
% 17.29/2.81 ( (l_some @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))) @
% 17.29/2.81 (diffprop @ '#sk3' @ '#sk2'))),
% 17.29/2.81 inference('simplify_reflect-', [status(thm)],
% 17.29/2.81 [zip_derived_cl1792, zip_derived_cl187])).
% 17.29/2.81 thf(zip_derived_cl2101, plain, ($false),
% 17.29/2.81 inference('demod', [status(thm)], [zip_derived_cl189, zip_derived_cl1793])).
% 17.29/2.81
% 17.29/2.81 % SZS output end Refutation
% 17.29/2.81
% 17.29/2.81
% 17.29/2.81 % Terminating...
% 17.29/2.86 % Runner terminated.
% 17.29/2.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------