0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cFNcBwj7nU true 0.13/0.34 % Computer : n007.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Mon Jul 3 09:24:13 EDT 2023 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 1440 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.55/0.67 % Total configuration time : 828 0.55/0.67 % Estimated wc time : 1656 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0 0.56/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.56/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.57/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.57/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 89.46/12.05 % Solved by lams/40_b.comb.sh. 89.46/12.05 % done 2823 iterations in 11.209s 89.46/12.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 89.46/12.05 % SZS output start Refutation 89.46/12.05 thf(mworld_type, type, mworld: $tType). 89.46/12.05 thf('#sk5_type', type, '#sk5': mworld). 89.46/12.05 thf(userid_type, type, userid: $i > $i > mworld > $o). 89.46/12.05 thf(eiw_di_type, type, eiw_di: $i > mworld > $o). 89.46/12.05 thf('#sk3_type', type, '#sk3': $i). 89.46/12.05 thf(mimplies_type, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o). 89.46/12.05 thf(u_type, type, u: $i). 89.46/12.05 thf(mbox_type, type, mbox: (mworld > $o) > mworld > $o). 89.46/12.05 thf(entry_box_type, type, entry_box: $i > mworld > $o). 89.46/12.05 thf(do_type, type, do: $i > $i > $i > mworld > $o). 89.46/12.05 thf('#sk2_type', type, '#sk2': mworld > $i). 89.46/12.05 thf(mforall_di_type, type, mforall_di: ($i > mworld > $o) > mworld > $o). 89.46/12.05 thf('#sk8_type', type, '#sk8': $i > $i > $i > $i > $i). 89.46/12.05 thf(mactual_type, type, mactual: mworld). 89.46/12.05 thf(mand_type, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o). 89.46/12.05 thf('#sk6_type', type, '#sk6': $i > $i > $i > $i > mworld). 89.46/12.05 thf('#sk4_type', type, '#sk4': mworld > $i > $i > $i > $i). 89.46/12.05 thf(in_type, type, in: $i > $i > $i > mworld > $o). 89.46/12.05 thf(mlocal_type, type, mlocal: (mworld > $o) > $o). 89.46/12.05 thf(number_type, type, number: $i > $i > mworld > $o). 89.46/12.05 thf(mrel_type, type, mrel: mworld > mworld > $o). 89.46/12.05 thf(mexists_di_type, type, mexists_di: ($i > mworld > $o) > mworld > $o). 89.46/12.05 thf(string_type, type, string: $i > mworld > $o). 89.46/12.05 thf(one_type, type, one: $i). 89.46/12.05 thf('#sk7_type', type, '#sk7': $i > $i > mworld). 89.46/12.05 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 89.46/12.05 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 89.46/12.05 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 89.46/12.05 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 89.46/12.05 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 89.46/12.05 thf(mrel_euclidean, axiom, 89.46/12.05 (![W:mworld,V:mworld,U:mworld]: 89.46/12.05 ( ( ( mrel @ W @ U ) & ( mrel @ W @ V ) ) => ( mrel @ U @ V ) ))). 89.46/12.05 thf(zip_derived_cl12, plain, 89.46/12.05 ( (((!!) @ (^[Y0 : mworld]: 89.46/12.05 (((!!) @ (^[Y1 : mworld]: 89.46/12.05 (((!!) @ (^[Y2 : mworld]: 89.46/12.05 (((((mrel @ Y0 @ Y2) & (mrel @ 89.46/12.05 Y0 @ Y1))) => 89.46/12.05 (mrel @ Y2 @ Y1))))))))))))), 89.46/12.05 inference('cnf', [status(esa)], [mrel_euclidean])). 89.46/12.05 thf(zip_derived_cl13, plain, 89.46/12.05 ( (((!!) @ ((('#B') @ (!!) @ 89.46/12.05 ((('#B') @ ((('#B') @ (!!))) @ 89.46/12.05 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.05 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 89.46/12.05 ((('#S') @ ((('#B') @ ('#B') @ 89.46/12.05 ((('#B') @ ('#C') @ 89.46/12.05 ((('#B') @ ((('#B') @ (&))) @ 89.46/12.05 mrel)))))) @ 89.46/12.05 mrel)))))))) @ 89.46/12.05 ((('#C') @ mrel))))))))))), 89.46/12.05 inference('lams2combs', [status(thm)], [zip_derived_cl12])). 89.46/12.05 thf(zip_derived_cl49, plain, 89.46/12.05 (![X2 : mworld]: 89.46/12.05 (((!!) @ ((('#B') @ (!!) @ 89.46/12.05 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.05 ((('#B') @ ((('#B') @ (=>))) @ 89.46/12.05 ((('#B') @ ((('#C') @ ((('#B') @ (&) @ 89.46/12.05 (mrel @ X2))))) @ 89.46/12.05 (mrel @ X2))))))) @ 89.46/12.05 ((('#C') @ mrel))))))))), 89.46/12.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 89.46/12.05 thf(zip_derived_cl50, plain, 89.46/12.05 (![X2 : mworld, X4 : mworld]: 89.46/12.05 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 89.46/12.05 ((('#C') @ ((('#B') @ (&) @ (mrel @ X2))) @ 89.46/12.05 (mrel @ X2 @ X4))))) @ 89.46/12.05 ((('#C') @ mrel @ X4))))))), 89.46/12.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl49])). 89.46/12.05 thf(zip_derived_cl51, plain, 89.46/12.05 (![X2 : mworld, X4 : mworld, X6 : mworld]: 89.46/12.05 (((((mrel @ X2 @ X6) & (mrel @ X2 @ X4))) => (mrel @ X6 @ X4)))), 89.46/12.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl50])). 89.46/12.05 thf(zip_derived_cl52, plain, 89.46/12.05 (![X2 : mworld, X4 : mworld, X6 : mworld]: 89.46/12.05 (~ (((mrel @ X2 @ X6) & (mrel @ X2 @ X4))) | (mrel @ X6 @ X4))), 89.46/12.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl51])). 89.46/12.05 thf(zip_derived_cl53, plain, 89.46/12.05 (![X2 : mworld, X4 : mworld, X6 : mworld]: 89.46/12.05 (~ (mrel @ X2 @ X6) | ~ (mrel @ X2 @ X4) | (mrel @ X6 @ X4))), 89.46/12.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl52])). 89.46/12.05 thf(zip_derived_cl53, plain, 89.46/12.05 (![X2 : mworld, X4 : mworld, X6 : mworld]: 89.46/12.05 (~ (mrel @ X2 @ X6) | ~ (mrel @ X2 @ X4) | (mrel @ X6 @ X4))), 89.46/12.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl52])). 89.46/12.05 thf(zip_derived_cl164, plain, 89.46/12.05 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : mworld]: 89.46/12.05 ( (mrel @ X0 @ X3) 89.46/12.05 | ~ (mrel @ X1 @ X3) 89.46/12.05 | ~ (mrel @ X2 @ X0) 89.46/12.05 | ~ (mrel @ X2 @ X1))), 89.46/12.05 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl53])). 89.46/12.05 thf(con, conjecture, 89.46/12.05 (mlocal @ 89.46/12.05 ( mbox @ 89.46/12.05 ( mexists_di @ 89.46/12.05 ( ^[I:$i]: 89.46/12.05 ( mexists_di @ 89.46/12.05 ( ^[B:$i]: 89.46/12.05 ( mexists_di @ 89.46/12.05 ( ^[A:$i]: 89.46/12.05 ( mexists_di @ 89.46/12.05 ( ^[S:$i]: 89.46/12.05 ( mand @ 89.46/12.05 ( mbox @ 89.46/12.05 ( mand @ 89.46/12.05 ( userid @ u @ I ) @ 89.46/12.05 ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) ) @ 89.46/12.05 ( mbox @ 89.46/12.05 ( mforall_di @ 89.46/12.05 ( ^[S2:$i]: 89.46/12.05 ( mimplies @ 89.46/12.05 ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 89.46/12.05 thf(zf_stmt_0, negated_conjecture, 89.46/12.05 (~( mlocal @ 89.46/12.05 ( mbox @ 89.46/12.05 ( mexists_di @ 89.46/12.05 ( ^[I:$i]: 89.46/12.05 ( mexists_di @ 89.46/12.05 ( ^[B:$i]: 89.46/12.05 ( mexists_di @ 89.46/12.05 ( ^[A:$i]: 89.46/12.05 ( mexists_di @ 89.46/12.05 ( ^[S:$i]: 89.46/12.05 ( mand @ 89.46/12.05 ( mbox @ 89.46/12.05 ( mand @ 89.46/12.05 ( userid @ u @ I ) @ 89.46/12.05 ( mand @ 89.46/12.05 ( entry_box @ B ) @ ( number @ B @ one ) ) ) ) @ 89.46/12.05 ( mbox @ 89.46/12.05 ( mforall_di @ 89.46/12.05 ( ^[S2:$i]: 89.46/12.05 ( mimplies @ 89.46/12.05 ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 89.46/12.05 inference('cnf.neg', [status(esa)], [con])). 89.46/12.05 thf(zip_derived_cl4, plain, 89.46/12.05 (~ (mlocal @ 89.46/12.05 (mbox @ 89.46/12.05 (mexists_di @ 89.46/12.05 (^[Y0 : $i]: 89.46/12.05 (mexists_di @ 89.46/12.05 (^[Y1 : $i]: 89.46/12.05 (mexists_di @ 89.46/12.05 (^[Y2 : $i]: 89.46/12.05 (mexists_di @ 89.46/12.05 (^[Y3 : $i]: 89.46/12.05 (mand @ 89.46/12.05 (mbox @ 89.46/12.05 (mand @ (userid @ u @ Y0) @ 89.46/12.05 (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ 89.46/12.05 (mbox @ 89.46/12.05 (mforall_di @ 89.46/12.05 (^[Y4 : $i]: 89.46/12.05 (mimplies @ (do @ Y3 @ Y2 @ Y4) @ 89.46/12.05 (in @ Y0 @ Y1 @ Y4))))))))))))))))), 89.46/12.05 inference('cnf', [status(esa)], [zf_stmt_0])). 89.46/12.05 thf(zip_derived_cl5, plain, 89.46/12.05 (~ (mlocal @ 89.46/12.05 (mbox @ 89.46/12.05 (mexists_di @ 89.46/12.05 ((('#B') @ mexists_di @ 89.46/12.05 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.05 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.05 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.05 ((('#B') @ ((('#B') @ mand)) @ 89.46/12.05 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.05 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.05 ((('#B') @ mand @ 89.46/12.05 (userid @ u))))) @ 89.46/12.05 ((('#S') @ ((('#B') @ mand @ entry_box)) @ 89.46/12.05 ((('#C') @ number @ one)))))))))))))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#C') @ ((('#B') @ ('#C') @ 89.46/12.05 ((('#B') @ ( 89.46/12.05 (('#B') @ ('#S'))) @ 89.46/12.05 ((('#B') @ ( 89.46/12.05 (('#B') @ ( 89.46/12.05 (('#B') @ mimplies)))) @ 89.46/12.05 ((('#C') @ do)))))))))))) @ 89.46/12.05 in)))))))))))))))))), 89.46/12.05 inference('lams2combs', [status(thm)], [zip_derived_cl4])). 89.46/12.05 thf(mlocal_def, axiom,(( mlocal @ (X0)) = ((X0 @ mactual)))). 89.46/12.05 thf('0', plain, 89.46/12.05 (![X0:( mworld > $o )]: ( ( mlocal @ X0 ) = ( X0 @ mactual ) )), 89.46/12.05 define([status(thm)])). 89.46/12.05 thf(zip_derived_cl96, plain, 89.46/12.05 (~ (mbox @ 89.46/12.05 (mexists_di @ 89.46/12.05 ((('#B') @ mexists_di @ 89.46/12.05 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.05 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.05 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.05 ((('#B') @ ((('#B') @ mand)) @ 89.46/12.05 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.05 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.05 ((('#B') @ mand @ 89.46/12.05 (userid @ u))))) @ 89.46/12.05 ((('#S') @ ((('#B') @ mand @ entry_box)) @ 89.46/12.05 ((('#C') @ number @ one)))))))))))))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#C') @ ((('#B') @ ('#C') @ 89.46/12.05 ((('#B') @ (( 89.46/12.05 ('#B') @ ( 89.46/12.05 '#S'))) @ 89.46/12.05 ((('#B') @ ( 89.46/12.05 (('#B') @ ( 89.46/12.05 (('#B') @ mimplies)))) @ 89.46/12.05 ((('#C') @ do)))))))))))) @ 89.46/12.05 in))))))))))))))) @ 89.46/12.05 mactual)), 89.46/12.05 inference('rw', [status(thm)], [zip_derived_cl5, '0'])). 89.46/12.05 thf(mbox_def, axiom, ~ (mbox @ X0 @ X1) => 89.46/12.05 ((((!!) @ (^[Y0 : mworld]: (((mrel @ X1 @ Y0) => (X0 @ Y0)))))) != ($true))). 89.46/12.05 thf('1', plain, 89.46/12.05 (![X0:( mworld > $o ),X1:mworld]: 89.46/12.05 ( ( ~( mbox @ X0 @ X1 ) ) <=> 89.46/12.05 ( ~( ![X6:mworld]: ( ( mrel @ X1 @ X6 ) => ( X0 @ X6 ) ) ) ) )), 89.46/12.05 inference('rw.lit', [status(esa)], [mbox_def])). 89.46/12.05 thf(zip_derived_cl97, plain, 89.46/12.05 (~ (((!!) @ (^[Y0 : mworld]: 89.46/12.05 (((mrel @ mactual @ Y0) => (mexists_di @ 89.46/12.05 ((('#B') @ mexists_di @ 89.46/12.05 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.05 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.05 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.05 ((('#B') @ ((('#B') @ mand)) @ 89.46/12.05 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.05 ((('#C') @ ((('#B') @ ( 89.46/12.05 '#B') @ 89.46/12.05 ((('#B') @ mand @ 89.46/12.05 (userid @ u))))) @ 89.46/12.05 ((('#S') @ ((('#B') @ mand @ 89.46/12.05 entry_box)) @ 89.46/12.05 ((('#C') @ number @ one)))))))))))))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#C') @ ((('#B') @ ( 89.46/12.05 '#C') @ 89.46/12.05 ( 89.46/12.05 ( 89.46/12.05 ('#B') @ ( 89.46/12.05 ( 89.46/12.05 ('#B') @ ( 89.46/12.05 '#S'))) @ 89.46/12.05 ( 89.46/12.05 ( 89.46/12.05 ('#B') @ ( 89.46/12.05 ( 89.46/12.05 ('#B') @ ( 89.46/12.05 ( 89.46/12.05 ('#B') @ mimplies)))) @ 89.46/12.05 ( 89.46/12.05 ( 89.46/12.05 ('#C') @ do)))))))))))) @ 89.46/12.05 in)))))))))))))) @ 89.46/12.05 Y0))))))), 89.46/12.05 inference('rw_clause', [status(thm)], [zip_derived_cl96, '1'])). 89.46/12.05 thf(zip_derived_cl98, plain, 89.46/12.05 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ mactual))) @ 89.46/12.05 (mexists_di @ 89.46/12.05 ((('#B') @ mexists_di @ 89.46/12.05 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.05 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.05 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.05 ((('#B') @ ((('#B') @ mand)) @ 89.46/12.05 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.05 ((('#C') @ ((('#B') @ ( 89.46/12.05 '#B') @ 89.46/12.05 ((('#B') @ mand @ 89.46/12.05 (userid @ u))))) @ 89.46/12.05 ((('#S') @ ((('#B') @ mand @ 89.46/12.05 entry_box)) @ 89.46/12.05 ((('#C') @ number @ one)))))))))))))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#C') @ ((('#B') @ ( 89.46/12.05 '#C') @ 89.46/12.05 ((('#B') @ ( 89.46/12.05 ( 89.46/12.05 ('#B') @ ( 89.46/12.05 '#S'))) @ 89.46/12.05 ( 89.46/12.05 ( 89.46/12.05 ('#B') @ ( 89.46/12.05 ( 89.46/12.05 ('#B') @ ( 89.46/12.05 ( 89.46/12.05 ('#B') @ mimplies)))) @ 89.46/12.05 ( 89.46/12.05 ( 89.46/12.05 ('#C') @ do)))))))))))) @ 89.46/12.05 in)))))))))))))))))))), 89.46/12.05 inference('comb-normalize', [status(thm)], [zip_derived_cl97])). 89.46/12.05 thf(zip_derived_cl99, plain, 89.46/12.05 (~ (((mrel @ mactual @ '#sk5') => (mexists_di @ 89.46/12.05 ((('#B') @ mexists_di @ 89.46/12.05 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.05 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.05 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.05 ((('#B') @ ((('#B') @ mand)) @ 89.46/12.05 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.05 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.05 ((('#B') @ mand @ 89.46/12.05 (userid @ u))))) @ 89.46/12.05 ((('#S') @ ((('#B') @ mand @ entry_box)) @ 89.46/12.05 ((('#C') @ number @ one)))))))))))))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.05 ((('#B') @ ((('#B') @ ((('#C') @ ((('#B') @ ('#C') @ 89.46/12.05 ((('#B') @ (( 89.46/12.05 ('#B') @ ( 89.46/12.05 '#S'))) @ 89.46/12.05 ((('#B') @ ( 89.46/12.05 (('#B') @ ( 89.46/12.05 (('#B') @ mimplies)))) @ 89.46/12.05 ((('#C') @ do)))))))))))) @ 89.46/12.05 in)))))))))))))) @ 89.46/12.05 '#sk5')))), 89.46/12.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl98])). 89.46/12.05 thf(zip_derived_cl100, plain, ( (mrel @ mactual @ '#sk5')), 89.46/12.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl99])). 89.46/12.05 thf(zip_derived_cl863, plain, 89.46/12.05 (![X0 : mworld, X1 : mworld]: 89.46/12.05 (~ (mrel @ mactual @ X0) | ~ (mrel @ '#sk5' @ X1) | (mrel @ X0 @ X1))), 89.46/12.05 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl100])). 89.46/12.05 thf(zip_derived_cl53, plain, 89.46/12.05 (![X2 : mworld, X4 : mworld, X6 : mworld]: 89.46/12.05 (~ (mrel @ X2 @ X6) | ~ (mrel @ X2 @ X4) | (mrel @ X6 @ X4))), 89.46/12.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl52])). 89.46/12.05 thf(zip_derived_cl100, plain, ( (mrel @ mactual @ '#sk5')), 89.46/12.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl99])). 89.46/12.05 thf(zip_derived_cl168, plain, 89.46/12.05 (![X0 : mworld]: ( (mrel @ X0 @ '#sk5') | ~ (mrel @ mactual @ X0))), 89.46/12.05 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl100])). 89.46/12.05 thf(ax1, axiom, 89.46/12.05 (mlocal @ 89.46/12.05 ( mbox @ 89.46/12.05 ( mexists_di @ 89.46/12.05 ( ^[I:$i]: ( mbox @ ( mand @ ( userid @ u @ I ) @ ( string @ I ) ) ) ) ) ))). 89.46/12.05 thf(zip_derived_cl2, plain, 89.46/12.05 ( (mlocal @ 89.46/12.05 (mbox @ 89.46/12.05 (mexists_di @ 89.46/12.05 (^[Y0 : $i]: (mbox @ (mand @ (userid @ u @ Y0) @ (string @ Y0)))))))), 89.46/12.05 inference('cnf', [status(esa)], [ax1])). 89.46/12.05 thf(zip_derived_cl3, plain, 89.46/12.05 ( (mlocal @ 89.46/12.05 (mbox @ 89.46/12.05 (mexists_di @ 89.46/12.05 ((('#B') @ mbox @ 89.46/12.05 ((('#S') @ ((('#B') @ mand @ (userid @ u))) @ string)))))))), 89.46/12.05 inference('lams2combs', [status(thm)], [zip_derived_cl2])). 89.46/12.05 thf(zip_derived_cl19, plain, 89.46/12.05 ( (mbox @ 89.46/12.05 (mexists_di @ 89.46/12.05 ((('#B') @ mbox @ 89.46/12.05 ((('#S') @ ((('#B') @ mand @ (userid @ u))) @ string))))) @ 89.46/12.05 mactual)), 89.46/12.05 inference('rw', [status(thm)], [zip_derived_cl3, '0'])). 89.46/12.05 thf(mbox_def, axiom, (mbox @ X0 @ X1) => 89.46/12.05 ((((!!) @ (^[Y0 : mworld]: (((mrel @ X1 @ Y0) => (X0 @ Y0)))))) = ($true))). 89.46/12.05 thf('2', plain, 89.46/12.05 (![X0:( mworld > $o ),X1:mworld]: 89.46/12.05 ( ( mbox @ X0 @ X1 ) <=> 89.46/12.05 ( ![X6:mworld]: ( ( mrel @ X1 @ X6 ) => ( X0 @ X6 ) ) ) )), 89.46/12.05 inference('rw.lit', [status(esa)], [mbox_def])). 89.46/12.05 thf(zip_derived_cl20, plain, 89.46/12.05 ( (((!!) @ (^[Y0 : mworld]: 89.46/12.05 (((mrel @ mactual @ Y0) => (mexists_di @ 89.46/12.05 ((('#B') @ mbox @ 89.46/12.05 ((('#S') @ ((('#B') @ mand @ (userid @ u))) @ string)))) @ 89.46/12.05 Y0))))))), 89.46/12.05 inference('rw_clause', [status(thm)], [zip_derived_cl19, '2'])). 89.46/12.05 thf(zip_derived_cl21, plain, 89.46/12.05 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ mactual))) @ 89.46/12.05 (mexists_di @ 89.46/12.05 ((('#B') @ mbox @ 89.46/12.05 ((('#S') @ ((('#B') @ mand @ (userid @ u))) @ string)))))))))), 89.46/12.05 inference('comb-normalize', [status(thm)], [zip_derived_cl20])). 89.46/12.05 thf(zip_derived_cl22, plain, 89.46/12.05 (![X2 : mworld]: 89.46/12.05 (((mrel @ mactual @ X2) => (mexists_di @ 89.46/12.05 ((('#B') @ mbox @ 89.46/12.05 ((('#S') @ ((('#B') @ mand @ (userid @ u))) @ string)))) @ 89.46/12.05 X2)))), 89.46/12.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])). 89.46/12.05 thf(zip_derived_cl23, plain, 89.46/12.05 (![X2 : mworld]: 89.46/12.05 (~ (mrel @ mactual @ X2) 89.46/12.05 | (mexists_di @ 89.46/12.05 ((('#B') @ mbox @ 89.46/12.05 ((('#S') @ ((('#B') @ mand @ (userid @ u))) @ string)))) @ 89.46/12.05 X2))), 89.46/12.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 89.46/12.05 thf(mexists_di_def, axiom, (mexists_di @ X0 @ X1) => 89.46/12.06 ((((??) @ (^[Y0 : $i]: (((eiw_di @ Y0 @ X1) & (X0 @ Y0 @ X1)))))) = ($true))). 89.46/12.06 thf('3', plain, 89.46/12.06 (![X0:( $i > mworld > $o ),X1:mworld]: 89.46/12.06 ( ( mexists_di @ X0 @ X1 ) <=> 89.46/12.06 ( ?[X6:$i]: ( ( eiw_di @ X6 @ X1 ) & ( X0 @ X6 @ X1 ) ) ) )), 89.46/12.06 inference('rw.lit', [status(esa)], [mexists_di_def])). 89.46/12.06 thf(zip_derived_cl24, plain, 89.46/12.06 (![X0 : mworld]: 89.46/12.06 ( (((??) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ X0) & 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#S') @ ((('#B') @ mand @ (userid @ u))) @ string)) @ 89.46/12.06 Y0 @ X0))))))) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl23, '3'])). 89.46/12.06 thf(zip_derived_cl25, plain, 89.46/12.06 (![X0 : mworld]: 89.46/12.06 ( (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ eiw_di @ X0)))) @ 89.46/12.06 ((('#C') @ ((('#B') @ mbox @ 89.46/12.06 ((('#S') @ ((('#B') @ mand @ (userid @ u))) @ 89.46/12.06 string)))) @ 89.46/12.06 X0)))))) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl24])). 89.46/12.06 thf(zip_derived_cl26, plain, 89.46/12.06 (![X0 : mworld]: 89.46/12.06 ( (((eiw_di @ ('#sk2' @ X0) @ X0) & (mbox @ 89.46/12.06 (mand @ (userid @ u @ ('#sk2' @ X0)) @ (string @ ('#sk2' @ X0))) @ 89.46/12.06 X0))) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl25])). 89.46/12.06 thf(zip_derived_cl28, plain, 89.46/12.06 (![X0 : mworld]: 89.46/12.06 ( (mbox @ 89.46/12.06 (mand @ (userid @ u @ ('#sk2' @ X0)) @ (string @ ('#sk2' @ X0))) @ 89.46/12.06 X0) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 89.46/12.06 thf(zip_derived_cl29, plain, 89.46/12.06 (![X0 : mworld]: 89.46/12.06 ( (((!!) @ (^[Y0 : mworld]: 89.46/12.06 (((mrel @ X0 @ Y0) => (mand @ 89.46/12.06 (userid @ u @ ('#sk2' @ X0)) @ 89.46/12.06 (string @ ('#sk2' @ X0)) @ Y0)))))) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl28, '2'])). 89.46/12.06 thf(zip_derived_cl30, plain, 89.46/12.06 (![X0 : mworld]: 89.46/12.06 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ X0))) @ 89.46/12.06 (mand @ (userid @ u @ ('#sk2' @ X0)) @ 89.46/12.06 (string @ ('#sk2' @ X0))))))) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl29])). 89.46/12.06 thf(zip_derived_cl31, plain, 89.46/12.06 (![X0 : mworld, X2 : mworld]: 89.46/12.06 ( (((mrel @ X0 @ X2) => (mand @ (userid @ u @ ('#sk2' @ X0)) @ 89.46/12.06 (string @ ('#sk2' @ X0)) @ X2))) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])). 89.46/12.06 thf(zip_derived_cl32, plain, 89.46/12.06 (![X0 : mworld, X2 : mworld]: 89.46/12.06 (~ (mrel @ X0 @ X2) 89.46/12.06 | (mand @ (userid @ u @ ('#sk2' @ X0)) @ (string @ ('#sk2' @ X0)) @ 89.46/12.06 X2) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 89.46/12.06 thf(mand_def, axiom, (mand @ X0 @ X1 @ X2) => 89.46/12.06 ((((X1 @ X2) & (X0 @ X2))) = ($true))). 89.46/12.06 thf('4', plain, 89.46/12.06 (![X0:( mworld > $o ),X1:( mworld > $o ),X2:mworld]: 89.46/12.06 ( ( mand @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) & ( X1 @ X2 ) ) )), 89.46/12.06 inference('rw.lit', [status(esa)], [mand_def])). 89.46/12.06 thf(zip_derived_cl33, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld]: 89.46/12.06 ( (((string @ ('#sk2' @ X0) @ X1) & (userid @ u @ ('#sk2' @ X0) @ X1))) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (mrel @ X0 @ X1))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl32, '4'])). 89.46/12.06 thf(zip_derived_cl34, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld]: 89.46/12.06 ( (string @ ('#sk2' @ X0) @ X1) 89.46/12.06 | ~ (mrel @ X0 @ X1) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])). 89.46/12.06 thf(zip_derived_cl35, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld]: 89.46/12.06 ( (userid @ u @ ('#sk2' @ X0) @ X1) 89.46/12.06 | ~ (mrel @ X0 @ X1) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])). 89.46/12.06 thf(zip_derived_cl100, plain, ( (mrel @ mactual @ '#sk5')), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl99])). 89.46/12.06 thf(zip_derived_cl101, plain, 89.46/12.06 (~ (mexists_di @ 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ mand)) @ 89.46/12.06 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 (userid @ u))))) @ 89.46/12.06 ((('#S') @ ((('#B') @ mand @ entry_box)) @ 89.46/12.06 ((('#C') @ number @ one)))))))))))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#C') @ ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ( 89.46/12.06 '#S'))) @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 (('#B') @ ( 89.46/12.06 (('#B') @ mimplies)))) @ 89.46/12.06 ((('#C') @ do)))))))))))) @ 89.46/12.06 in)))))))))))))) @ 89.46/12.06 '#sk5')), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl99])). 89.46/12.06 thf(mexists_di_def, axiom, ~ (mexists_di @ X0 @ X1) => 89.46/12.06 ((((??) @ (^[Y0 : $i]: (((eiw_di @ Y0 @ X1) & (X0 @ Y0 @ X1)))))) != 89.46/12.06 ($true))). 89.46/12.06 thf('5', plain, 89.46/12.06 (![X0:( $i > mworld > $o ),X1:mworld]: 89.46/12.06 ( ( ~( mexists_di @ X0 @ X1 ) ) <=> 89.46/12.06 ( ~( ?[X6:$i]: ( ( eiw_di @ X6 @ X1 ) & ( X0 @ X6 @ X1 ) ) ) ) )), 89.46/12.06 inference('rw.lit', [status(esa)], [mexists_di_def])). 89.46/12.06 thf(zip_derived_cl102, plain, 89.46/12.06 (~ (((??) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ '#sk5') & 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ mand)) @ 89.46/12.06 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ( 89.46/12.06 '#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 (userid @ u))))) @ 89.46/12.06 ((('#S') @ ((('#B') @ mand @ 89.46/12.06 entry_box)) @ 89.46/12.06 ((('#C') @ number @ one)))))))))))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#C') @ ((('#B') @ ( 89.46/12.06 '#C') @ 89.46/12.06 ( 89.46/12.06 ( 89.46/12.06 ('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ ( 89.46/12.06 '#S'))) @ 89.46/12.06 ( 89.46/12.06 ( 89.46/12.06 ('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ mimplies)))) @ 89.46/12.06 ( 89.46/12.06 ( 89.46/12.06 ('#C') @ do)))))))))))) @ 89.46/12.06 in)))))))))))) @ 89.46/12.06 Y0 @ '#sk5')))))))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl101, '5'])). 89.46/12.06 thf(zip_derived_cl103, plain, 89.46/12.06 (~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ eiw_di @ '#sk5')))) @ 89.46/12.06 ((('#C') @ ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#B'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ( 89.46/12.06 '#B'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ mand)) @ 89.46/12.06 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.06 ((('#C') @ (( 89.46/12.06 ('#B') @ ( 89.46/12.06 '#B') @ 89.46/12.06 ( 89.46/12.06 ( 89.46/12.06 ('#B') @ mand @ 89.46/12.06 ( 89.46/12.06 userid @ 89.46/12.06 u))))) @ 89.46/12.06 ((('#S') @ ( 89.46/12.06 (('#B') @ mand @ 89.46/12.06 entry_box)) @ 89.46/12.06 ((('#C') @ number @ 89.46/12.06 one)))))))))))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ( 89.46/12.06 (('#B') @ mbox)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ( 89.46/12.06 (('#B') @ mforall_di)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#C') @ ( 89.46/12.06 (('#B') @ ( 89.46/12.06 '#C') @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ ( 89.46/12.06 '#S'))) @ 89.46/12.06 ( 89.46/12.06 ( 89.46/12.06 ('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ mimplies)))) @ 89.46/12.06 ( 89.46/12.06 ( 89.46/12.06 ('#C') @ do)))))))))))) @ 89.46/12.06 in)))))))))))))) @ 89.46/12.06 '#sk5'))))))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl102])). 89.46/12.06 thf(zip_derived_cl104, plain, 89.46/12.06 (![X2 : $i]: 89.46/12.06 ~ (((eiw_di @ X2 @ '#sk5') & (mexists_di @ 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ (mand @ (userid @ u @ X2)) @ 89.46/12.06 ((('#S') @ ((('#B') @ mand @ entry_box)) @ 89.46/12.06 ((('#C') @ number @ one)))))))))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mbox)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))) @ 89.46/12.06 ((('#B') @ ((('#C') @ ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ( 89.46/12.06 (('#B') @ mimplies)))) @ 89.46/12.06 ((('#C') @ do)))))))))) @ 89.46/12.06 (in @ X2))))))))))))) @ 89.46/12.06 '#sk5')))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl103])). 89.46/12.06 thf(zip_derived_cl105, plain, 89.46/12.06 (![X2 : $i]: 89.46/12.06 (~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (mexists_di @ 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ (mand @ (userid @ u @ X2)) @ 89.46/12.06 ((('#S') @ ((('#B') @ mand @ entry_box)) @ 89.46/12.06 ((('#C') @ number @ one)))))))))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mbox)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))) @ 89.46/12.06 ((('#B') @ ((('#C') @ ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ( 89.46/12.06 (('#B') @ mimplies)))) @ 89.46/12.06 ((('#C') @ do)))))))))) @ 89.46/12.06 (in @ X2))))))))))))) @ 89.46/12.06 '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl104])). 89.46/12.06 thf(zip_derived_cl106, plain, 89.46/12.06 (![X0 : $i]: 89.46/12.06 (~ (((??) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ '#sk5') & 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ (mand @ 89.46/12.06 (userid @ u @ X0)) @ 89.46/12.06 ((('#S') @ ((('#B') @ mand @ 89.46/12.06 entry_box)) @ 89.46/12.06 ((('#C') @ number @ one)))))))))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mbox)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))) @ 89.46/12.06 ((('#B') @ ((('#C') @ ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 (('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 (('#B') @ ( 89.46/12.06 (('#B') @ mimplies)))) @ 89.46/12.06 ((('#C') @ do)))))))))) @ 89.46/12.06 (in @ X0))))))))))) @ 89.46/12.06 Y0 @ '#sk5'))))))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl105, '5'])). 89.46/12.06 thf(zip_derived_cl107, plain, 89.46/12.06 (![X0 : $i]: 89.46/12.06 (~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ eiw_di @ '#sk5')))) @ 89.46/12.06 ((('#C') @ ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ (mand @ 89.46/12.06 (userid @ 89.46/12.06 u @ X0)) @ 89.46/12.06 ((('#S') @ ( 89.46/12.06 (('#B') @ mand @ 89.46/12.06 entry_box)) @ 89.46/12.06 ((('#C') @ number @ 89.46/12.06 one)))))))))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mbox)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))) @ 89.46/12.06 ((('#B') @ ((('#C') @ ((('#B') @ ( 89.46/12.06 '#C') @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ ( 89.46/12.06 '#S'))) @ 89.46/12.06 ( 89.46/12.06 ( 89.46/12.06 ('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ mimplies)))) @ 89.46/12.06 ( 89.46/12.06 ( 89.46/12.06 ('#C') @ do)))))))))) @ 89.46/12.06 (in @ X0))))))))))))) @ 89.46/12.06 '#sk5')))))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl106])). 89.46/12.06 thf(zip_derived_cl108, plain, 89.46/12.06 (![X0 : $i, X2 : $i]: 89.46/12.06 (~ (((eiw_di @ X2 @ '#sk5') & (mexists_di @ 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ (mand @ 89.46/12.06 (mbox @ 89.46/12.06 (mand @ (userid @ u @ X0) @ 89.46/12.06 (mand @ (entry_box @ X2) @ 89.46/12.06 (number @ X2 @ one))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mimplies)))) @ 89.46/12.06 ((('#C') @ do)))))))) @ 89.46/12.06 (in @ X0 @ X2))))))))))) @ 89.46/12.06 '#sk5'))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl107])). 89.46/12.06 thf(zip_derived_cl109, plain, 89.46/12.06 (![X0 : $i, X2 : $i]: 89.46/12.06 (~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (mexists_di @ 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ (mand @ 89.46/12.06 (mbox @ 89.46/12.06 (mand @ (userid @ u @ X0) @ 89.46/12.06 (mand @ (entry_box @ X2) @ 89.46/12.06 (number @ X2 @ one))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mimplies)))) @ 89.46/12.06 ((('#C') @ do)))))))) @ 89.46/12.06 (in @ X0 @ X2))))))))))) @ 89.46/12.06 '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl108])). 89.46/12.06 thf(zip_derived_cl110, plain, 89.46/12.06 (![X0 : $i, X1 : $i]: 89.46/12.06 (~ (((??) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ '#sk5') & 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ (mand @ 89.46/12.06 (mbox @ 89.46/12.06 (mand @ 89.46/12.06 (userid @ u @ X0) @ 89.46/12.06 (mand @ 89.46/12.06 (entry_box @ X1) @ 89.46/12.06 (number @ X1 @ one))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ( 89.46/12.06 (('#B') @ mimplies)))) @ 89.46/12.06 ((('#C') @ do)))))))) @ 89.46/12.06 (in @ X0 @ X1))))))))) @ 89.46/12.06 Y0 @ '#sk5'))))))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5'))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl109, '5'])). 89.46/12.06 thf(zip_derived_cl111, plain, 89.46/12.06 (![X0 : $i, X1 : $i]: 89.46/12.06 (~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ eiw_di @ '#sk5')))) @ 89.46/12.06 ((('#C') @ ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ (mand @ 89.46/12.06 (mbox @ 89.46/12.06 (mand @ 89.46/12.06 (userid @ u @ X0) @ 89.46/12.06 (mand @ 89.46/12.06 (entry_box @ X1) @ 89.46/12.06 (number @ X1 @ 89.46/12.06 one))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ( 89.46/12.06 '#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ mimplies)))) @ 89.46/12.06 ((('#C') @ do)))))))) @ 89.46/12.06 (in @ X0 @ X1))))))))))) @ 89.46/12.06 '#sk5')))))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5'))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl110])). 89.46/12.06 thf(zip_derived_cl112, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X3 : $i]: 89.46/12.06 (~ (((eiw_di @ X3 @ '#sk5') & (mexists_di @ 89.46/12.06 ((('#B') @ (mand @ 89.46/12.06 (mbox @ 89.46/12.06 (mand @ (userid @ u @ X0) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one))))) @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ do @ X3)))))) @ 89.46/12.06 (in @ X0 @ X1))))))))) @ 89.46/12.06 '#sk5'))) 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl111])). 89.46/12.06 thf(zip_derived_cl113, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X3 : $i]: 89.46/12.06 (~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (mexists_di @ 89.46/12.06 ((('#B') @ (mand @ 89.46/12.06 (mbox @ 89.46/12.06 (mand @ (userid @ u @ X0) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one))))) @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ do @ X3)))))) @ 89.46/12.06 (in @ X0 @ X1))))))))) @ 89.46/12.06 '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl112])). 89.46/12.06 thf(zip_derived_cl114, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i]: 89.46/12.06 (~ (((??) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ '#sk5') & 89.46/12.06 ((('#B') @ (mand @ 89.46/12.06 (mbox @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X0) @ 89.46/12.06 (number @ X0 @ one))))) @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ do @ X2)))))) @ 89.46/12.06 (in @ X1 @ X0))))))) @ 89.46/12.06 Y0 @ '#sk5'))))))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5'))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl113, '5'])). 89.46/12.06 thf(zip_derived_cl115, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i]: 89.46/12.06 (~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ eiw_di @ '#sk5')))) @ 89.46/12.06 ((('#C') @ ((('#B') @ (mand @ 89.46/12.06 (mbox @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X0) @ 89.46/12.06 (number @ X0 @ one))))) @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ do @ X2)))))) @ 89.46/12.06 (in @ X1 @ X0))))))))) @ 89.46/12.06 '#sk5')))))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5'))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl114])). 89.46/12.06 thf(zip_derived_cl116, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]: 89.46/12.06 (~ (((eiw_di @ X4 @ '#sk5') & (mand @ 89.46/12.06 (mbox @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X0) @ (number @ X0 @ one)))) @ 89.46/12.06 (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ (do @ X4 @ X2))) @ 89.46/12.06 (in @ X1 @ X0))))) @ 89.46/12.06 '#sk5'))) 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl115])). 89.46/12.06 thf(zip_derived_cl117, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]: 89.46/12.06 (~ (eiw_di @ X4 @ '#sk5') 89.46/12.06 | ~ (mand @ 89.46/12.06 (mbox @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X0) @ (number @ X0 @ one)))) @ 89.46/12.06 (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ (do @ X4 @ X2))) @ 89.46/12.06 (in @ X1 @ X0))))) @ 89.46/12.06 '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl116])). 89.46/12.06 thf(mand_def, axiom, ~ (mand @ X0 @ X1 @ X2) => 89.46/12.06 ((((X0 @ X2) & (X1 @ X2))) != ($true))). 89.46/12.06 thf('6', plain, 89.46/12.06 (![X0:( mworld > $o ),X1:( mworld > $o ),X2:mworld]: 89.46/12.06 ( ( ~( mand @ X0 @ X1 @ X2 ) ) <=> ( ~( ( X0 @ X2 ) & ( X1 @ X2 ) ) ) )), 89.46/12.06 inference('rw.lit', [status(esa)], [mand_def])). 89.46/12.06 thf(zip_derived_cl118, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((mbox @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X2) @ (number @ X2 @ one))) @ 89.46/12.06 '#sk5') & (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ (do @ X3 @ X0))) @ 89.46/12.06 (in @ X1 @ X2)))) @ 89.46/12.06 '#sk5'))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5'))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl117, '6'])). 89.46/12.06 thf(zip_derived_cl119, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (mbox @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X2) @ (number @ X2 @ one))) @ 89.46/12.06 '#sk5') 89.46/12.06 | ~ (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ (do @ X3 @ X0))) @ 89.46/12.06 (in @ X1 @ X2)))) @ 89.46/12.06 '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl118])). 89.46/12.06 thf(zip_derived_cl120, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((!!) @ (^[Y0 : mworld]: 89.46/12.06 (((mrel @ '#sk5' @ Y0) => (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X2) @ (number @ X2 @ one)) @ Y0)))))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ (do @ X3 @ X0))) @ 89.46/12.06 (in @ X1 @ X2)))) @ 89.46/12.06 '#sk5'))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl119, '1'])). 89.46/12.06 thf(zip_derived_cl121, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X2) @ (number @ X2 @ one))))))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ (do @ X3 @ X0))) @ 89.46/12.06 (in @ X1 @ X2)))) @ 89.46/12.06 '#sk5'))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl120])). 89.46/12.06 thf(zip_derived_cl122, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((!!) @ (^[Y0 : mworld]: 89.46/12.06 (((mrel @ '#sk5' @ Y0) => (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ (do @ X0 @ X3))) @ 89.46/12.06 (in @ X2 @ X1))) @ 89.46/12.06 Y0)))))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one))))))))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl121, '1'])). 89.46/12.06 thf(zip_derived_cl123, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ (do @ X0 @ X3))) @ 89.46/12.06 (in @ X2 @ X1)))))))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one))))))))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl122])). 89.46/12.06 thf(zip_derived_cl124, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((mrel @ '#sk5' @ ('#sk6' @ X0 @ X1 @ X2 @ X3)) => (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ (do @ X0 @ X3))) @ 89.46/12.06 (in @ X2 @ X1))) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)))) 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one))))))) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl123])). 89.46/12.06 thf(zip_derived_cl126, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ (do @ X0 @ X3))) @ (in @ X2 @ X1))) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one))))))))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl124])). 89.46/12.06 thf(mforall_di_def, axiom, ~ (mforall_di @ X0 @ X1) => 89.46/12.06 ((((!!) @ (^[Y0 : $i]: (((eiw_di @ Y0 @ X1) => (X0 @ Y0 @ X1)))))) != 89.46/12.06 ($true))). 89.46/12.06 thf('7', plain, 89.46/12.06 (![X0:( $i > mworld > $o ),X1:mworld]: 89.46/12.06 ( ( ~( mforall_di @ X0 @ X1 ) ) <=> 89.46/12.06 ( ~( ![X6:$i]: ( ( eiw_di @ X6 @ X1 ) => ( X0 @ X6 @ X1 ) ) ) ) )), 89.46/12.06 inference('rw.lit', [status(esa)], [mforall_di_def])). 89.46/12.06 thf(zip_derived_cl128, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((!!) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ ('#sk6' @ X3 @ X0 @ X1 @ X2)) => 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ (do @ X3 @ X2))) @ 89.46/12.06 (in @ X1 @ X0) @ Y0 @ ('#sk6' @ X3 @ X0 @ X1 @ X2)))))))) 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X0) @ (number @ X0 @ one))))))) 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5'))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl126, '7'])). 89.46/12.06 thf(zip_derived_cl131, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 89.46/12.06 ((('#C') @ eiw_di @ 89.46/12.06 ('#sk6' @ X3 @ X0 @ X1 @ X2))))) @ 89.46/12.06 ((('#C') @ ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 (do @ X3 @ X2))) @ 89.46/12.06 (in @ X1 @ X0))) @ 89.46/12.06 ('#sk6' @ X3 @ X0 @ X1 @ X2))))))) 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X0) @ (number @ X0 @ one))))))) 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5'))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl128])). 89.46/12.06 thf(zip_derived_cl132, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((eiw_di @ ('#sk8' @ X0 @ X1 @ X2 @ X3) @ 89.46/12.06 ('#sk6' @ X3 @ X0 @ X1 @ X2)) => (mimplies @ 89.46/12.06 (do @ X3 @ X2 @ ('#sk8' @ X0 @ X1 @ X2 @ X3)) @ 89.46/12.06 (in @ X1 @ X0 @ ('#sk8' @ X0 @ X1 @ X2 @ X3)) @ 89.46/12.06 ('#sk6' @ X3 @ X0 @ X1 @ X2)))) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X0) @ (number @ X0 @ one))))))))), 89.46/12.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl131])). 89.46/12.06 thf(zip_derived_cl135, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (mimplies @ (do @ X3 @ X2 @ ('#sk8' @ X0 @ X1 @ X2 @ X3)) @ 89.46/12.06 (in @ X1 @ X0 @ ('#sk8' @ X0 @ X1 @ X2 @ X3)) @ 89.46/12.06 ('#sk6' @ X3 @ X0 @ X1 @ X2)) 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X0) @ (number @ X0 @ one))))))) 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl132])). 89.46/12.06 thf(mimplies_def, axiom, ~ (mimplies @ X0 @ X1 @ X2) => 89.46/12.06 ((((X0 @ X2) => (X1 @ X2))) != ($true))). 89.46/12.06 thf('8', plain, 89.46/12.06 (![X0:( mworld > $o ),X1:( mworld > $o ),X2:mworld]: 89.46/12.06 ( ( ~( mimplies @ X0 @ X1 @ X2 ) ) <=> 89.46/12.06 ( ~( ( X0 @ X2 ) => ( X1 @ X2 ) ) ) )), 89.46/12.06 inference('rw.lit', [status(esa)], [mimplies_def])). 89.46/12.06 thf(zip_derived_cl138, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((do @ X0 @ X3 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) => (in @ X2 @ X1 @ 89.46/12.06 ('#sk8' @ X1 @ X2 @ X3 @ X0) @ ('#sk6' @ X0 @ X1 @ X2 @ X3)))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one))))))))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl135, '8'])). 89.46/12.06 thf(zip_derived_cl143, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (in @ X2 @ X1 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one))))))) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl138])). 89.46/12.06 thf(zip_derived_cl147, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((mrel @ '#sk5' @ ('#sk7' @ X1 @ X2)) => (mand @ 89.46/12.06 (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one)) @ 89.46/12.06 ('#sk7' @ X1 @ X2)))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (in @ X2 @ X1 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)))), 89.46/12.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl143])). 89.46/12.06 thf(zip_derived_cl151, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (mrel @ '#sk5' @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (in @ X2 @ X1 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])). 89.46/12.06 thf(ax3, axiom, 89.46/12.06 (mlocal @ 89.46/12.06 ( mbox @ 89.46/12.06 ( mforall_di @ 89.46/12.06 ( ^[S:$i]: 89.46/12.06 ( mforall_di @ 89.46/12.06 ( ^[I:$i]: 89.46/12.06 ( mforall_di @ 89.46/12.06 ( ^[B:$i]: 89.46/12.06 ( mimplies @ 89.46/12.06 ( mand @ ( string @ I ) @ ( entry_box @ B ) ) @ 89.46/12.06 ( mexists_di @ 89.46/12.06 ( ^[A:$i]: 89.46/12.06 ( mbox @ 89.46/12.06 ( mforall_di @ 89.46/12.06 ( ^[S2:$i]: 89.46/12.06 ( mimplies @ 89.46/12.06 ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 89.46/12.06 thf(zip_derived_cl10, plain, 89.46/12.06 ( (mlocal @ 89.46/12.06 (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 (^[Y0 : $i]: 89.46/12.06 (mforall_di @ 89.46/12.06 (^[Y1 : $i]: 89.46/12.06 (mforall_di @ 89.46/12.06 (^[Y2 : $i]: 89.46/12.06 (mimplies @ (mand @ (string @ Y1) @ (entry_box @ Y2)) @ 89.46/12.06 (mexists_di @ 89.46/12.06 (^[Y3 : $i]: 89.46/12.06 (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 (^[Y4 : $i]: 89.46/12.06 (mimplies @ (do @ Y0 @ Y3 @ Y4) @ 89.46/12.06 (in @ Y1 @ Y2 @ Y4))))))))))))))))), 89.46/12.06 inference('cnf', [status(esa)], [ax3])). 89.46/12.06 thf(zip_derived_cl11, plain, 89.46/12.06 ( (mlocal @ 89.46/12.06 (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ string)))) @ 89.46/12.06 entry_box)))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mimplies)))) @ 89.46/12.06 do)))))))))) @ 89.46/12.06 in)))))))))))))))))), 89.46/12.06 inference('lams2combs', [status(thm)], [zip_derived_cl10])). 89.46/12.06 thf(zip_derived_cl59, plain, 89.46/12.06 ( (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ string)))) @ 89.46/12.06 entry_box)))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mimplies)))) @ 89.46/12.06 do)))))))))) @ 89.46/12.06 in))))))))))))))) @ 89.46/12.06 mactual)), 89.46/12.06 inference('rw', [status(thm)], [zip_derived_cl11, '0'])). 89.46/12.06 thf(zip_derived_cl60, plain, 89.46/12.06 ( (((!!) @ (^[Y0 : mworld]: 89.46/12.06 (((mrel @ mactual @ Y0) => (mforall_di @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ( 89.46/12.06 '#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 string)))) @ 89.46/12.06 entry_box)))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ( 89.46/12.06 (('#B') @ mimplies)))) @ 89.46/12.06 do)))))))))) @ 89.46/12.06 in)))))))))))))) @ 89.46/12.06 Y0))))))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl59, '2'])). 89.46/12.06 thf(zip_derived_cl61, plain, 89.46/12.06 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ mactual))) @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ( 89.46/12.06 '#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 string)))) @ 89.46/12.06 entry_box)))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ( 89.46/12.06 (('#B') @ mimplies)))) @ 89.46/12.06 do)))))))))) @ 89.46/12.06 in)))))))))))))))))))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl60])). 89.46/12.06 thf(zip_derived_cl62, plain, 89.46/12.06 (![X2 : mworld]: 89.46/12.06 (((mrel @ mactual @ X2) => (mforall_di @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ string)))) @ 89.46/12.06 entry_box)))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mimplies)))) @ 89.46/12.06 do)))))))))) @ 89.46/12.06 in)))))))))))))) @ 89.46/12.06 X2)))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl61])). 89.46/12.06 thf(zip_derived_cl63, plain, 89.46/12.06 (![X2 : mworld]: 89.46/12.06 (~ (mrel @ mactual @ X2) 89.46/12.06 | (mforall_di @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 string)))) @ 89.46/12.06 entry_box)))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mimplies)))) @ 89.46/12.06 do)))))))))) @ 89.46/12.06 in)))))))))))))) @ 89.46/12.06 X2))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 89.46/12.06 thf(mforall_di_def, axiom, (mforall_di @ X0 @ X1) => 89.46/12.06 ((((!!) @ (^[Y0 : $i]: (((eiw_di @ Y0 @ X1) => (X0 @ Y0 @ X1)))))) = 89.46/12.06 ($true))). 89.46/12.06 thf('9', plain, 89.46/12.06 (![X0:( $i > mworld > $o ),X1:mworld]: 89.46/12.06 ( ( mforall_di @ X0 @ X1 ) <=> 89.46/12.06 ( ![X6:$i]: ( ( eiw_di @ X6 @ X1 ) => ( X0 @ X6 @ X1 ) ) ) )), 89.46/12.06 inference('rw.lit', [status(esa)], [mforall_di_def])). 89.46/12.06 thf(zip_derived_cl64, plain, 89.46/12.06 (![X0 : mworld]: 89.46/12.06 ( (((!!) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ X0) => 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ( 89.46/12.06 '#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 string)))) @ 89.46/12.06 entry_box)))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mbox)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))))) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ ( 89.46/12.06 '#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ( 89.46/12.06 (('#B') @ mimplies)))) @ 89.46/12.06 do)))))))))) @ 89.46/12.06 in)))))))))))) @ 89.46/12.06 Y0 @ X0))))))) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl63, '9'])). 89.46/12.06 thf(zip_derived_cl65, plain, 89.46/12.06 (![X0 : mworld]: 89.46/12.06 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ eiw_di @ X0)))) @ 89.46/12.06 ((('#C') @ ((('#B') @ mforall_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#S') @ ((('#B') @ ( 89.46/12.06 '#S') @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 (('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ( 89.46/12.06 (('#B') @ ( 89.46/12.06 '#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 string)))) @ 89.46/12.06 entry_box)))))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mexists_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ( 89.46/12.06 (('#B') @ mbox)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ ( 89.46/12.06 (('#B') @ mforall_di)))))) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 '#C') @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 (('#B') @ ( 89.46/12.06 '#S'))) @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 (('#B') @ ( 89.46/12.06 (('#B') @ mimplies)))) @ 89.46/12.06 do)))))))))) @ 89.46/12.06 in)))))))))))))) @ 89.46/12.06 X0)))))) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl64])). 89.46/12.06 thf(zip_derived_cl66, plain, 89.46/12.06 (![X0 : mworld, X2 : $i]: 89.46/12.06 ( (((eiw_di @ X2 @ X0) => (mforall_di @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ string)))) @ 89.46/12.06 entry_box)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mbox)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ (( 89.46/12.06 ('#B') @ mimplies)) @ 89.46/12.06 (do @ X2))))))))) @ 89.46/12.06 in)))))))))))) @ 89.46/12.06 X0))) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl65])). 89.46/12.06 thf(zip_derived_cl67, plain, 89.46/12.06 (![X0 : mworld, X2 : $i]: 89.46/12.06 (~ (eiw_di @ X2 @ X0) 89.46/12.06 | (mforall_di @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ string)))) @ 89.46/12.06 entry_box)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mbox)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 (('#B') @ mimplies)) @ 89.46/12.06 (do @ X2))))))))) @ 89.46/12.06 in)))))))))))) @ 89.46/12.06 X0) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 89.46/12.06 thf(zip_derived_cl68, plain, 89.46/12.06 (![X0 : mworld, X1 : $i]: 89.46/12.06 ( (((!!) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ X0) => 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ mand @ string)))) @ 89.46/12.06 entry_box)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mbox)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#C') @ ((('#B') @ ( 89.46/12.06 '#S') @ 89.46/12.06 ( 89.46/12.06 ( 89.46/12.06 ('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ mimplies)) @ 89.46/12.06 ( 89.46/12.06 do @ X1))))))))) @ 89.46/12.06 in)))))))))) @ 89.46/12.06 Y0 @ X0))))))) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl67, '9'])). 89.46/12.06 thf(zip_derived_cl69, plain, 89.46/12.06 (![X0 : mworld, X1 : $i]: 89.46/12.06 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ eiw_di @ X0)))) @ 89.46/12.06 ((('#C') @ ((('#B') @ mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 ((('#C') @ ((('#B') @ ( 89.46/12.06 '#B') @ 89.46/12.06 ((('#B') @ mand @ 89.46/12.06 string)))) @ 89.46/12.06 entry_box)))))) @ 89.46/12.06 ((('#B') @ ((('#B') @ mexists_di)) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mbox)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ mforall_di)))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#C') @ ( 89.46/12.06 (('#B') @ ( 89.46/12.06 '#S') @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 ( 89.46/12.06 ('#B') @ mimplies)) @ 89.46/12.06 ( 89.46/12.06 do @ X1))))))))) @ 89.46/12.06 in)))))))))))) @ 89.46/12.06 X0)))))) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl68])). 89.46/12.06 thf(zip_derived_cl70, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X3 : $i]: 89.46/12.06 ( (((eiw_di @ X3 @ X0) => (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 ((('#B') @ (mand @ (string @ X3)) @ entry_box)))) @ 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 (do @ X1))))))) @ 89.46/12.06 (in @ X3))))))))))) @ 89.46/12.06 X0))) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl69])). 89.46/12.06 thf(zip_derived_cl71, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X3 : $i]: 89.46/12.06 (~ (eiw_di @ X3 @ X0) 89.46/12.06 | (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 ((('#B') @ (mand @ (string @ X3)) @ entry_box)))) @ 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 (do @ X1))))))) @ 89.46/12.06 (in @ X3))))))))))) @ 89.46/12.06 X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl70])). 89.46/12.06 thf(zip_derived_cl72, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i]: 89.46/12.06 ( (((!!) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ X0) => 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 ((('#B') @ (mand @ (string @ X2)) @ 89.46/12.06 entry_box)))) @ 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 (do @ X1))))))) @ 89.46/12.06 (in @ X2))))))))) @ 89.46/12.06 Y0 @ X0))))))) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl71, '9'])). 89.46/12.06 thf(zip_derived_cl73, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i]: 89.46/12.06 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ eiw_di @ X0)))) @ 89.46/12.06 ((('#C') @ ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 ((('#B') @ (mand @ (string @ X2)) @ 89.46/12.06 entry_box)))) @ 89.46/12.06 ((('#B') @ mexists_di @ 89.46/12.06 ((('#B') @ ((('#B') @ mbox)) @ 89.46/12.06 ((('#B') @ ((('#B') @ mforall_di)) @ 89.46/12.06 ((('#B') @ ((('#C') @ ((('#B') @ ( 89.46/12.06 '#S') @ 89.46/12.06 ((('#B') @ ( 89.46/12.06 (('#B') @ mimplies)) @ 89.46/12.06 (do @ X1))))))) @ 89.46/12.06 (in @ X2))))))))))) @ 89.46/12.06 X0)))))) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl72])). 89.46/12.06 thf(zip_derived_cl74, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X4 : $i]: 89.46/12.06 ( (((eiw_di @ X4 @ X0) => (mimplies @ 89.46/12.06 (mand @ (string @ X2) @ (entry_box @ X4)) @ 89.46/12.06 (mexists_di @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ (do @ X1))))) @ 89.46/12.06 (in @ X2 @ X4)))))))) @ 89.46/12.06 X0))) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl73])). 89.46/12.06 thf(zip_derived_cl75, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X4 : $i]: 89.46/12.06 (~ (eiw_di @ X4 @ X0) 89.46/12.06 | (mimplies @ (mand @ (string @ X2) @ (entry_box @ X4)) @ 89.46/12.06 (mexists_di @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ (do @ X1))))) @ 89.46/12.06 (in @ X2 @ X4)))))))) @ 89.46/12.06 X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl74])). 89.46/12.06 thf(mimplies_def, axiom, (mimplies @ X0 @ X1 @ X2) => 89.46/12.06 ((((X0 @ X2) => (X1 @ X2))) = ($true))). 89.46/12.06 thf('10', plain, 89.46/12.06 (![X0:( mworld > $o ),X1:( mworld > $o ),X2:mworld]: 89.46/12.06 ( ( mimplies @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) => ( X1 @ X2 ) ) )), 89.46/12.06 inference('rw.lit', [status(esa)], [mimplies_def])). 89.46/12.06 thf(zip_derived_cl76, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (((mand @ (string @ X1) @ (entry_box @ X3) @ X0) => (mexists_di @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ (do @ X2))))) @ 89.46/12.06 (in @ X1 @ X3))))))) @ 89.46/12.06 X0))) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl75, '10'])). 89.46/12.06 thf(zip_derived_cl77, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (mand @ (string @ X1) @ (entry_box @ X3) @ X0) 89.46/12.06 | (mexists_di @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ (do @ X2))))) @ 89.46/12.06 (in @ X1 @ X3))))))) @ 89.46/12.06 X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl76])). 89.46/12.06 thf(zip_derived_cl78, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((string @ X1 @ X0) & (entry_box @ X3 @ X0))) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | (mexists_di @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ (do @ X2))))) @ 89.46/12.06 (in @ X1 @ X3))))))) @ 89.46/12.06 X0))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl77, '6'])). 89.46/12.06 thf(zip_derived_cl79, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (((??) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ X0) & 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 (do @ X2))))) @ 89.46/12.06 (in @ X3 @ X1))))) @ 89.46/12.06 Y0 @ X0))))))) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (((string @ X3 @ X0) & (entry_box @ X1 @ X0))))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl78, '3'])). 89.46/12.06 thf(zip_derived_cl80, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ eiw_di @ X0)))) @ 89.46/12.06 ((('#C') @ ((('#B') @ mbox @ 89.46/12.06 ((('#B') @ mforall_di @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ mimplies)) @ 89.46/12.06 (do @ X2))))) @ 89.46/12.06 (in @ X3 @ X1))))))) @ 89.46/12.06 X0)))))) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (((string @ X3 @ X0) & (entry_box @ X1 @ X0))))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl79])). 89.46/12.06 thf(zip_derived_cl81, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (((eiw_di @ ('#sk4' @ X0 @ X1 @ X2 @ X3) @ X0) & (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 (do @ X2 @ ('#sk4' @ X0 @ X1 @ X2 @ X3)))) @ 89.46/12.06 (in @ X3 @ X1)))) @ 89.46/12.06 X0))) 89.46/12.06 | ~ (((string @ X3 @ X0) & (entry_box @ X1 @ X0))) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0))), 89.46/12.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl80])). 89.46/12.06 thf(zip_derived_cl82, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (eiw_di @ ('#sk4' @ X0 @ X1 @ X2 @ X3) @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (((string @ X3 @ X0) & (entry_box @ X1 @ X0))))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl81])). 89.46/12.06 thf(zip_derived_cl84, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (string @ X3 @ X0) 89.46/12.06 | ~ (entry_box @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | (eiw_di @ ('#sk4' @ X0 @ X1 @ X2 @ X3) @ X0))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl82])). 89.46/12.06 thf(eiw_di_decr, axiom, 89.46/12.06 (![W:mworld,V:mworld,X:$i]: 89.46/12.06 ( ( ( eiw_di @ X @ W ) & ( mrel @ V @ W ) ) => ( eiw_di @ X @ V ) ))). 89.46/12.06 thf(zip_derived_cl14, plain, 89.46/12.06 ( (((!!) @ (^[Y0 : mworld]: 89.46/12.06 (((!!) @ (^[Y1 : mworld]: 89.46/12.06 (((!!) @ (^[Y2 : $i]: 89.46/12.06 (((((eiw_di @ Y2 @ Y0) & (mrel @ 89.46/12.06 Y1 @ Y0))) => 89.46/12.06 (eiw_di @ Y2 @ Y1))))))))))))), 89.46/12.06 inference('cnf', [status(esa)], [eiw_di_decr])). 89.46/12.06 thf(zip_derived_cl15, plain, 89.46/12.06 ( (((!!) @ ((('#B') @ (!!) @ 89.46/12.06 ((('#B') @ ((('#B') @ (!!))) @ 89.46/12.06 ((('#C') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ ('#S'))) @ 89.46/12.06 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#B') @ 89.46/12.06 ((('#B') @ ('#C') @ 89.46/12.06 ((('#B') @ ((('#B') @ (&))) @ 89.46/12.06 ((('#C') @ eiw_di)))))))) @ 89.46/12.06 ((('#C') @ mrel)))))))))) @ 89.46/12.06 ((('#C') @ eiw_di))))))))))), 89.46/12.06 inference('lams2combs', [status(thm)], [zip_derived_cl14])). 89.46/12.06 thf(zip_derived_cl54, plain, 89.46/12.06 (![X2 : mworld]: 89.46/12.06 (((!!) @ ((('#B') @ (!!) @ 89.46/12.06 ((('#S') @ ((('#B') @ ('#S') @ 89.46/12.06 ((('#B') @ ((('#B') @ (=>))) @ 89.46/12.06 ((('#B') @ ((('#C') @ ((('#B') @ (&) @ 89.46/12.06 ((('#C') @ eiw_di @ 89.46/12.06 X2)))))) @ 89.46/12.06 ((('#C') @ mrel @ X2)))))))) @ 89.46/12.06 ((('#C') @ eiw_di))))))))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 89.46/12.06 thf(zip_derived_cl55, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld]: 89.46/12.06 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 89.46/12.06 ((('#C') @ ((('#B') @ (&) @ 89.46/12.06 ((('#C') @ eiw_di @ X2)))) @ 89.46/12.06 (mrel @ X4 @ X2))))) @ 89.46/12.06 ((('#C') @ eiw_di @ X4))))))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl54])). 89.46/12.06 thf(zip_derived_cl56, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : $i]: 89.46/12.06 (((((eiw_di @ X6 @ X2) & (mrel @ X4 @ X2))) => (eiw_di @ X6 @ X4)))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl55])). 89.46/12.06 thf(zip_derived_cl57, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : $i]: 89.46/12.06 (~ (((eiw_di @ X6 @ X2) & (mrel @ X4 @ X2))) | (eiw_di @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl56])). 89.46/12.06 thf(zip_derived_cl58, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : $i]: 89.46/12.06 (~ (eiw_di @ X6 @ X2) | ~ (mrel @ X4 @ X2) | (eiw_di @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 89.46/12.06 thf(zip_derived_cl309, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i, X4 : mworld]: 89.46/12.06 (~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (entry_box @ X3 @ X0) 89.46/12.06 | ~ (string @ X1 @ X0) 89.46/12.06 | (eiw_di @ ('#sk4' @ X0 @ X3 @ X2 @ X1) @ X4) 89.46/12.06 | ~ (mrel @ X4 @ X0))), 89.46/12.06 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl58])). 89.46/12.06 thf(zip_derived_cl84, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (string @ X3 @ X0) 89.46/12.06 | ~ (entry_box @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | (eiw_di @ ('#sk4' @ X0 @ X1 @ X2 @ X3) @ X0))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl82])). 89.46/12.06 thf(zip_derived_cl58, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : $i]: 89.46/12.06 (~ (eiw_di @ X6 @ X2) | ~ (mrel @ X4 @ X2) | (eiw_di @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 89.46/12.06 thf(zip_derived_cl53, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : mworld]: 89.46/12.06 (~ (mrel @ X2 @ X6) | ~ (mrel @ X2 @ X4) | (mrel @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl52])). 89.46/12.06 thf(zip_derived_cl271, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld, X2 : mworld, X3 : $i]: 89.46/12.06 ( (eiw_di @ X3 @ X1) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (mrel @ X2 @ X0) 89.46/12.06 | ~ (mrel @ X2 @ X1))), 89.46/12.06 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl53])). 89.46/12.06 thf(zip_derived_cl134, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (eiw_di @ ('#sk8' @ X0 @ X1 @ X2 @ X3) @ 89.46/12.06 ('#sk6' @ X3 @ X0 @ X1 @ X2)) 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X0) @ (number @ X0 @ one))))))) 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl132])). 89.46/12.06 thf(zip_derived_cl137, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((mrel @ '#sk5' @ ('#sk7' @ X0 @ X1)) => (mand @ 89.46/12.06 (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X0) @ (number @ X0 @ one)) @ 89.46/12.06 ('#sk7' @ X0 @ X1)))) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | (eiw_di @ ('#sk8' @ X0 @ X1 @ X2 @ X3) @ 89.46/12.06 ('#sk6' @ X3 @ X0 @ X1 @ X2)))), 89.46/12.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl134])). 89.46/12.06 thf(zip_derived_cl140, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (mrel @ '#sk5' @ ('#sk7' @ X0 @ X1)) 89.46/12.06 | (eiw_di @ ('#sk8' @ X0 @ X1 @ X2 @ X3) @ 89.46/12.06 ('#sk6' @ X3 @ X0 @ X1 @ X2)) 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])). 89.46/12.06 thf(zip_derived_cl142, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (do @ X0 @ X3 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one))))))) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl138])). 89.46/12.06 thf(zip_derived_cl146, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((mrel @ '#sk5' @ ('#sk7' @ X1 @ X2)) => (mand @ 89.46/12.06 (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one)) @ 89.46/12.06 ('#sk7' @ X1 @ X2)))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | (do @ X0 @ X3 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)))), 89.46/12.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl142])). 89.46/12.06 thf(zip_derived_cl149, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (mrel @ '#sk5' @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | (do @ X0 @ X3 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl146])). 89.46/12.06 thf(zip_derived_cl83, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (mbox @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 (do @ X2 @ ('#sk4' @ X0 @ X1 @ X2 @ X3)))) @ 89.46/12.06 (in @ X3 @ X1)))) @ 89.46/12.06 X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (((string @ X3 @ X0) & (entry_box @ X1 @ X0))))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl81])). 89.46/12.06 thf(zip_derived_cl85, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (((!!) @ (^[Y0 : mworld]: 89.46/12.06 (((mrel @ X0 @ Y0) => (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 (do @ X3 @ ('#sk4' @ X0 @ X1 @ X3 @ X2)))) @ 89.46/12.06 (in @ X2 @ X1))) @ 89.46/12.06 Y0)))))) 89.46/12.06 | ~ (((string @ X2 @ X0) & (entry_box @ X1 @ X0))) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl83, '2'])). 89.46/12.06 thf(zip_derived_cl86, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ X0))) @ 89.46/12.06 (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 (do @ X3 @ ('#sk4' @ X0 @ X1 @ X3 @ X2)))) @ 89.46/12.06 (in @ X2 @ X1)))))))) 89.46/12.06 | ~ (((string @ X2 @ X0) & (entry_box @ X1 @ X0))) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl85])). 89.46/12.06 thf(zip_derived_cl87, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i, X5 : mworld]: 89.46/12.06 ( (((mrel @ X0 @ X5) => (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 (do @ X3 @ ('#sk4' @ X0 @ X1 @ X3 @ X2)))) @ 89.46/12.06 (in @ X2 @ X1))) @ 89.46/12.06 X5))) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (((string @ X2 @ X0) & (entry_box @ X1 @ X0))))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl86])). 89.46/12.06 thf(zip_derived_cl88, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i, X5 : mworld]: 89.46/12.06 (~ (mrel @ X0 @ X5) 89.46/12.06 | (mforall_di @ 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 (do @ X3 @ ('#sk4' @ X0 @ X1 @ X3 @ X2)))) @ 89.46/12.06 (in @ X2 @ X1))) @ 89.46/12.06 X5) 89.46/12.06 | ~ (((string @ X2 @ X0) & (entry_box @ X1 @ X0))) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl87])). 89.46/12.06 thf(zip_derived_cl89, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i, X4 : mworld]: 89.46/12.06 ( (((!!) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ X4) => 89.46/12.06 ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 (do @ X2 @ ('#sk4' @ X0 @ X1 @ X2 @ X3)))) @ 89.46/12.06 (in @ X3 @ X1) @ Y0 @ X4))))))) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (((string @ X3 @ X0) & (entry_box @ X1 @ X0))) 89.46/12.06 | ~ (mrel @ X0 @ X4))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl88, '9'])). 89.46/12.06 thf(zip_derived_cl90, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i, X4 : mworld]: 89.46/12.06 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ eiw_di @ X4)))) @ 89.46/12.06 ((('#C') @ ((('#S') @ ((('#B') @ mimplies @ 89.46/12.06 (do @ X2 @ 89.46/12.06 ('#sk4' @ X0 @ X1 @ X2 @ X3)))) @ 89.46/12.06 (in @ X3 @ X1))) @ 89.46/12.06 X4)))))) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (((string @ X3 @ X0) & (entry_box @ X1 @ X0))) 89.46/12.06 | ~ (mrel @ X0 @ X4))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl89])). 89.46/12.06 thf(zip_derived_cl91, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i, X4 : mworld, X6 : $i]: 89.46/12.06 ( (((eiw_di @ X6 @ X4) => (mimplies @ 89.46/12.06 (do @ X2 @ ('#sk4' @ X0 @ X1 @ X2 @ X3) @ X6) @ 89.46/12.06 (in @ X3 @ X1 @ X6) @ X4))) 89.46/12.06 | ~ (mrel @ X0 @ X4) 89.46/12.06 | ~ (((string @ X3 @ X0) & (entry_box @ X1 @ X0))) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (eiw_di @ X1 @ X0))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl90])). 89.46/12.06 thf(zip_derived_cl92, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i, X4 : mworld, X6 : $i]: 89.46/12.06 (~ (eiw_di @ X6 @ X4) 89.46/12.06 | (mimplies @ (do @ X2 @ ('#sk4' @ X0 @ X1 @ X2 @ X3) @ X6) @ 89.46/12.06 (in @ X3 @ X1 @ X6) @ X4) 89.46/12.06 | ~ (eiw_di @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X0) 89.46/12.06 | ~ (((string @ X3 @ X0) & (entry_box @ X1 @ X0))) 89.46/12.06 | ~ (mrel @ X0 @ X4))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])). 89.46/12.06 thf(zip_derived_cl93, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 89.46/12.06 ( (((do @ X4 @ ('#sk4' @ X1 @ X2 @ X4 @ X3) @ X5 @ X0) => (in @ X3 @ 89.46/12.06 X2 @ X5 @ X0))) 89.46/12.06 | ~ (mrel @ X1 @ X0) 89.46/12.06 | ~ (((string @ X3 @ X1) & (entry_box @ X2 @ X1))) 89.46/12.06 | ~ (eiw_di @ X3 @ X1) 89.46/12.06 | ~ (mrel @ mactual @ X1) 89.46/12.06 | ~ (eiw_di @ X4 @ X1) 89.46/12.06 | ~ (eiw_di @ X2 @ X1) 89.46/12.06 | ~ (eiw_di @ X5 @ X0))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl92, '10'])). 89.46/12.06 thf(zip_derived_cl94, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 89.46/12.06 (~ (do @ X4 @ ('#sk4' @ X1 @ X2 @ X4 @ X3) @ X5 @ X0) 89.46/12.06 | (in @ X3 @ X2 @ X5 @ X0) 89.46/12.06 | ~ (eiw_di @ X5 @ X0) 89.46/12.06 | ~ (eiw_di @ X2 @ X1) 89.46/12.06 | ~ (eiw_di @ X4 @ X1) 89.46/12.06 | ~ (mrel @ mactual @ X1) 89.46/12.06 | ~ (eiw_di @ X3 @ X1) 89.46/12.06 | ~ (((string @ X3 @ X1) & (entry_box @ X2 @ X1))) 89.46/12.06 | ~ (mrel @ X1 @ X0))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl93])). 89.46/12.06 thf(zip_derived_cl95, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 89.46/12.06 (~ (string @ X3 @ X1) 89.46/12.06 | ~ (entry_box @ X2 @ X1) 89.46/12.06 | ~ (mrel @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X1) 89.46/12.06 | ~ (mrel @ mactual @ X1) 89.46/12.06 | ~ (eiw_di @ X4 @ X1) 89.46/12.06 | ~ (eiw_di @ X2 @ X1) 89.46/12.06 | ~ (eiw_di @ X5 @ X0) 89.46/12.06 | (in @ X3 @ X2 @ X5 @ X0) 89.46/12.06 | ~ (do @ X4 @ ('#sk4' @ X1 @ X2 @ X4 @ X3) @ X5 @ X0))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl94])). 89.46/12.06 thf(zip_derived_cl656, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : mworld, X4 : $i, X5 : $i]: 89.46/12.06 (~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X5 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X4 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ ('#sk4' @ X3 @ X2 @ X1 @ X0) @ '#sk5') 89.46/12.06 | (mrel @ '#sk5' @ ('#sk7' @ X5 @ X4)) 89.46/12.06 | (in @ X0 @ X2 @ 89.46/12.06 ('#sk8' @ X5 @ X4 @ ('#sk4' @ X3 @ X2 @ X1 @ X0) @ X1) @ 89.46/12.06 ('#sk6' @ X1 @ X5 @ X4 @ ('#sk4' @ X3 @ X2 @ X1 @ X0))) 89.46/12.06 | ~ (eiw_di @ 89.46/12.06 ('#sk8' @ X5 @ X4 @ ('#sk4' @ X3 @ X2 @ X1 @ X0) @ X1) @ 89.46/12.06 ('#sk6' @ X1 @ X5 @ X4 @ ('#sk4' @ X3 @ X2 @ X1 @ X0))) 89.46/12.06 | ~ (eiw_di @ X2 @ X3) 89.46/12.06 | ~ (eiw_di @ X1 @ X3) 89.46/12.06 | ~ (mrel @ mactual @ X3) 89.46/12.06 | ~ (eiw_di @ X0 @ X3) 89.46/12.06 | ~ (mrel @ X3 @ 89.46/12.06 ('#sk6' @ X1 @ X5 @ X4 @ ('#sk4' @ X3 @ X2 @ X1 @ X0))) 89.46/12.06 | ~ (entry_box @ X2 @ X3) 89.46/12.06 | ~ (string @ X0 @ X3))), 89.46/12.06 inference('sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl95])). 89.46/12.06 thf(zip_derived_cl58, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : $i]: 89.46/12.06 (~ (eiw_di @ X6 @ X2) | ~ (mrel @ X4 @ X2) | (eiw_di @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 89.46/12.06 thf(zip_derived_cl58, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : $i]: 89.46/12.06 (~ (eiw_di @ X6 @ X2) | ~ (mrel @ X4 @ X2) | (eiw_di @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 89.46/12.06 thf(zip_derived_cl266, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : mworld, X3 : mworld]: 89.46/12.06 ( (eiw_di @ X1 @ X3) 89.46/12.06 | ~ (mrel @ X3 @ X0) 89.46/12.06 | ~ (mrel @ X0 @ X2) 89.46/12.06 | ~ (eiw_di @ X1 @ X2))), 89.46/12.06 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl58])). 89.46/12.06 thf(zip_derived_cl125, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (mrel @ '#sk5' @ ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ '#sk5'))) @ 89.46/12.06 (mand @ (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one))))))))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl124])). 89.46/12.06 thf(zip_derived_cl127, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((mrel @ '#sk5' @ ('#sk7' @ X1 @ X2)) => (mand @ 89.46/12.06 (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one)) @ 89.46/12.06 ('#sk7' @ X1 @ X2)))) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | (mrel @ '#sk5' @ ('#sk6' @ X0 @ X1 @ X2 @ X3)))), 89.46/12.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl125])). 89.46/12.06 thf(zip_derived_cl129, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 ( (mrel @ '#sk5' @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | (mrel @ '#sk5' @ ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl127])). 89.46/12.06 thf(zip_derived_cl53, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : mworld]: 89.46/12.06 (~ (mrel @ X2 @ X6) | ~ (mrel @ X2 @ X4) | (mrel @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl52])). 89.46/12.06 thf(mrel_reflexive, axiom, (![W:mworld]: ( mrel @ W @ W ))). 89.46/12.06 thf(zip_derived_cl0, plain, ( (((!!) @ (^[Y0 : mworld]: (mrel @ Y0 @ Y0))))), 89.46/12.06 inference('cnf', [status(esa)], [mrel_reflexive])). 89.46/12.06 thf(zip_derived_cl1, plain, ( (((!!) @ ((('#S') @ mrel @ ('#I')))))), 89.46/12.06 inference('lams2combs', [status(thm)], [zip_derived_cl0])). 89.46/12.06 thf(zip_derived_cl16, plain, (![X2 : mworld]: (mrel @ X2 @ X2)), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 89.46/12.06 thf(zip_derived_cl166, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld]: ( (mrel @ X1 @ X0) | ~ (mrel @ X0 @ X1))), 89.46/12.06 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl16])). 89.46/12.06 thf(zip_derived_cl166, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld]: ( (mrel @ X1 @ X0) | ~ (mrel @ X0 @ X1))), 89.46/12.06 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl16])). 89.46/12.06 thf(zip_derived_cl53, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : mworld]: 89.46/12.06 (~ (mrel @ X2 @ X6) | ~ (mrel @ X2 @ X4) | (mrel @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl52])). 89.46/12.06 thf(zip_derived_cl184, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld, X2 : mworld]: 89.46/12.06 (~ (mrel @ X0 @ X1) | (mrel @ X2 @ X0) | ~ (mrel @ X1 @ X2))), 89.46/12.06 inference('sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl53])). 89.46/12.06 thf(ax2, axiom, 89.46/12.06 (mlocal @ 89.46/12.06 ( mexists_di @ 89.46/12.06 ( ^[B:$i]: 89.46/12.06 ( mbox @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) ) ))). 89.46/12.06 thf(zip_derived_cl6, plain, 89.46/12.06 ( (mlocal @ 89.46/12.06 (mexists_di @ 89.46/12.06 (^[Y0 : $i]: (mbox @ (mand @ (entry_box @ Y0) @ (number @ Y0 @ one))))))), 89.46/12.06 inference('cnf', [status(esa)], [ax2])). 89.46/12.06 thf(zip_derived_cl7, plain, 89.46/12.06 ( (mlocal @ 89.46/12.06 (mexists_di @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#S') @ ((('#B') @ mand @ entry_box)) @ 89.46/12.06 ((('#C') @ number @ one))))))))), 89.46/12.06 inference('lams2combs', [status(thm)], [zip_derived_cl6])). 89.46/12.06 thf(zip_derived_cl36, plain, 89.46/12.06 ( (mexists_di @ 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#S') @ ((('#B') @ mand @ entry_box)) @ ((('#C') @ number @ one)))))) @ 89.46/12.06 mactual)), 89.46/12.06 inference('rw', [status(thm)], [zip_derived_cl7, '0'])). 89.46/12.06 thf(zip_derived_cl37, plain, 89.46/12.06 ( (((??) @ (^[Y0 : $i]: 89.46/12.06 (((eiw_di @ Y0 @ mactual) & 89.46/12.06 ((('#B') @ mbox @ 89.46/12.06 ((('#S') @ ((('#B') @ mand @ entry_box)) @ 89.46/12.06 ((('#C') @ number @ one)))) @ 89.46/12.06 Y0 @ mactual)))))))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl36, '3'])). 89.46/12.06 thf(zip_derived_cl38, plain, 89.46/12.06 ( (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ eiw_di @ mactual)))) @ 89.46/12.06 ((('#C') @ ((('#B') @ mbox @ 89.46/12.06 ((('#S') @ ((('#B') @ mand @ entry_box)) @ 89.46/12.06 ((('#C') @ number @ one)))))) @ 89.46/12.06 mactual))))))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl37])). 89.46/12.06 thf(zip_derived_cl39, plain, 89.46/12.06 ( (((eiw_di @ '#sk3' @ mactual) & (mbox @ 89.46/12.06 (mand @ (entry_box @ '#sk3') @ (number @ '#sk3' @ one)) @ mactual)))), 89.46/12.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl38])). 89.46/12.06 thf(zip_derived_cl41, plain, 89.46/12.06 ( (mbox @ (mand @ (entry_box @ '#sk3') @ (number @ '#sk3' @ one)) @ 89.46/12.06 mactual)), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl39])). 89.46/12.06 thf(zip_derived_cl42, plain, 89.46/12.06 ( (((!!) @ (^[Y0 : mworld]: 89.46/12.06 (((mrel @ mactual @ Y0) => (mand @ (entry_box @ '#sk3') @ 89.46/12.06 (number @ '#sk3' @ one) @ Y0))))))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl41, '2'])). 89.46/12.06 thf(zip_derived_cl43, plain, 89.46/12.06 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (mrel @ mactual))) @ 89.46/12.06 (mand @ (entry_box @ '#sk3') @ (number @ '#sk3' @ one))))))), 89.46/12.06 inference('comb-normalize', [status(thm)], [zip_derived_cl42])). 89.46/12.06 thf(zip_derived_cl44, plain, 89.46/12.06 (![X2 : mworld]: 89.46/12.06 (((mrel @ mactual @ X2) => (mand @ (entry_box @ '#sk3') @ 89.46/12.06 (number @ '#sk3' @ one) @ X2)))), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])). 89.46/12.06 thf(zip_derived_cl45, plain, 89.46/12.06 (![X2 : mworld]: 89.46/12.06 (~ (mrel @ mactual @ X2) 89.46/12.06 | (mand @ (entry_box @ '#sk3') @ (number @ '#sk3' @ one) @ X2))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl44])). 89.46/12.06 thf(zip_derived_cl46, plain, 89.46/12.06 (![X0 : mworld]: 89.46/12.06 ( (((number @ '#sk3' @ one @ X0) & (entry_box @ '#sk3' @ X0))) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl45, '4'])). 89.46/12.06 thf(zip_derived_cl48, plain, 89.46/12.06 (![X0 : mworld]: ( (entry_box @ '#sk3' @ X0) | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 89.46/12.06 thf(zip_derived_cl53, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : mworld]: 89.46/12.06 (~ (mrel @ X2 @ X6) | ~ (mrel @ X2 @ X4) | (mrel @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl52])). 89.46/12.06 thf(zip_derived_cl16, plain, (![X2 : mworld]: (mrel @ X2 @ X2)), 89.46/12.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 89.46/12.06 thf(zip_derived_cl166, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld]: ( (mrel @ X1 @ X0) | ~ (mrel @ X0 @ X1))), 89.46/12.06 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl16])). 89.46/12.06 thf(zip_derived_cl100, plain, ( (mrel @ mactual @ '#sk5')), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl99])). 89.46/12.06 thf(zip_derived_cl189, plain, ( (mrel @ '#sk5' @ mactual)), 89.46/12.06 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl100])). 89.46/12.06 thf(zip_derived_cl47, plain, 89.46/12.06 (![X0 : mworld]: 89.46/12.06 ( (number @ '#sk3' @ one @ X0) | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 89.46/12.06 thf(zip_derived_cl130, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (mand @ (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one)) @ 89.46/12.06 ('#sk7' @ X1 @ X2)) 89.46/12.06 | (mrel @ '#sk5' @ ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl127])). 89.46/12.06 thf(zip_derived_cl133, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((userid @ u @ X1 @ ('#sk7' @ X2 @ X1)) & (mand @ 89.46/12.06 (entry_box @ X2) @ (number @ X2 @ one) @ ('#sk7' @ X2 @ X1)))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | (mrel @ '#sk5' @ ('#sk6' @ X3 @ X2 @ X1 @ X0)))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl130, '6'])). 89.46/12.06 thf(zip_derived_cl136, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (userid @ u @ X1 @ ('#sk7' @ X2 @ X1)) 89.46/12.06 | ~ (mand @ (entry_box @ X2) @ (number @ X2 @ one) @ 89.46/12.06 ('#sk7' @ X2 @ X1)) 89.46/12.06 | (mrel @ '#sk5' @ ('#sk6' @ X3 @ X2 @ X1 @ X0)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl133])). 89.46/12.06 thf(zip_derived_cl139, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((entry_box @ X2 @ ('#sk7' @ X2 @ X1)) & (number @ X2 @ one @ 89.46/12.06 ('#sk7' @ X2 @ X1)))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | (mrel @ '#sk5' @ ('#sk6' @ X3 @ X2 @ X1 @ X0)) 89.46/12.06 | ~ (userid @ u @ X1 @ ('#sk7' @ X2 @ X1)))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl136, '6'])). 89.46/12.06 thf(zip_derived_cl144, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (entry_box @ X2 @ ('#sk7' @ X2 @ X1)) 89.46/12.06 | ~ (number @ X2 @ one @ ('#sk7' @ X2 @ X1)) 89.46/12.06 | ~ (userid @ u @ X1 @ ('#sk7' @ X2 @ X1)) 89.46/12.06 | (mrel @ '#sk5' @ ('#sk6' @ X3 @ X2 @ X1 @ X0)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl139])). 89.46/12.06 thf(zip_derived_cl35, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld]: 89.46/12.06 ( (userid @ u @ ('#sk2' @ X0) @ X1) 89.46/12.06 | ~ (mrel @ X0 @ X1) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])). 89.46/12.06 thf(zip_derived_cl611, plain, 89.46/12.06 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ ('#sk2' @ X0) @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | (mrel @ '#sk5' @ ('#sk6' @ X3 @ X1 @ ('#sk2' @ X0) @ X2)) 89.46/12.06 | ~ (number @ X1 @ one @ ('#sk7' @ X1 @ ('#sk2' @ X0))) 89.46/12.06 | ~ (entry_box @ X1 @ ('#sk7' @ X1 @ ('#sk2' @ X0))) 89.46/12.06 | ~ (mrel @ mactual @ X0) 89.46/12.06 | ~ (mrel @ X0 @ ('#sk7' @ X1 @ ('#sk2' @ X0))))), 89.46/12.06 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl35])). 89.46/12.06 thf(zip_derived_cl152, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (mand @ (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one)) @ 89.46/12.06 ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (in @ X2 @ X1 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])). 89.46/12.06 thf(zip_derived_cl155, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((userid @ u @ X2 @ ('#sk7' @ X1 @ X2)) & (mand @ 89.46/12.06 (entry_box @ X1) @ (number @ X1 @ one) @ ('#sk7' @ X1 @ X2)))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (in @ X2 @ X1 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl152, '6'])). 89.46/12.06 thf(zip_derived_cl158, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (userid @ u @ X2 @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (mand @ (entry_box @ X1) @ (number @ X1 @ one) @ 89.46/12.06 ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (in @ X2 @ X1 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl155])). 89.46/12.06 thf(zip_derived_cl160, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((entry_box @ X1 @ ('#sk7' @ X1 @ X2)) & (number @ X1 @ one @ 89.46/12.06 ('#sk7' @ X1 @ X2)))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (in @ X2 @ X1 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (userid @ u @ X2 @ ('#sk7' @ X1 @ X2)))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl158, '6'])). 89.46/12.06 thf(zip_derived_cl162, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (entry_box @ X1 @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (number @ X1 @ one @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (userid @ u @ X2 @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (in @ X2 @ X1 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl160])). 89.46/12.06 thf(zip_derived_cl166, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld]: ( (mrel @ X1 @ X0) | ~ (mrel @ X0 @ X1))), 89.46/12.06 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl16])). 89.46/12.06 thf(zip_derived_cl53, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : mworld]: 89.46/12.06 (~ (mrel @ X2 @ X6) | ~ (mrel @ X2 @ X4) | (mrel @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl52])). 89.46/12.06 thf(zip_derived_cl185, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld, X2 : mworld]: 89.46/12.06 (~ (mrel @ X0 @ X1) | (mrel @ X0 @ X2) | ~ (mrel @ X1 @ X2))), 89.46/12.06 inference('sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl53])). 89.46/12.06 thf(zip_derived_cl58, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : $i]: 89.46/12.06 (~ (eiw_di @ X6 @ X2) | ~ (mrel @ X4 @ X2) | (eiw_di @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 89.46/12.06 thf(zip_derived_cl27, plain, 89.46/12.06 (![X0 : mworld]: 89.46/12.06 ( (eiw_di @ ('#sk2' @ X0) @ X0) | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 89.46/12.06 thf(zip_derived_cl268, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld]: 89.46/12.06 ( (eiw_di @ ('#sk2' @ X0) @ X1) 89.46/12.06 | ~ (mrel @ X1 @ X0) 89.46/12.06 | ~ (mrel @ mactual @ X0))), 89.46/12.06 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl27])). 89.46/12.06 thf(zip_derived_cl58, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : $i]: 89.46/12.06 (~ (eiw_di @ X6 @ X2) | ~ (mrel @ X4 @ X2) | (eiw_di @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 89.46/12.06 thf(zip_derived_cl40, plain, ( (eiw_di @ '#sk3' @ mactual)), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl39])). 89.46/12.06 thf(zip_derived_cl269, plain, 89.46/12.06 (![X0 : mworld]: ( (eiw_di @ '#sk3' @ X0) | ~ (mrel @ X0 @ mactual))), 89.46/12.06 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl40])). 89.46/12.06 thf(zip_derived_cl141, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (mand @ (userid @ u @ X1) @ 89.46/12.06 (mand @ (entry_box @ X0) @ (number @ X0 @ one)) @ 89.46/12.06 ('#sk7' @ X0 @ X1)) 89.46/12.06 | (eiw_di @ ('#sk8' @ X0 @ X1 @ X2 @ X3) @ 89.46/12.06 ('#sk6' @ X3 @ X0 @ X1 @ X2)) 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])). 89.46/12.06 thf(zip_derived_cl145, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((userid @ u @ X2 @ ('#sk7' @ X1 @ X2)) & (mand @ 89.46/12.06 (entry_box @ X1) @ (number @ X1 @ one) @ ('#sk7' @ X1 @ X2)))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | (eiw_di @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl141, '6'])). 89.46/12.06 thf(zip_derived_cl148, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (userid @ u @ X2 @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (mand @ (entry_box @ X1) @ (number @ X1 @ one) @ 89.46/12.06 ('#sk7' @ X1 @ X2)) 89.46/12.06 | (eiw_di @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl145])). 89.46/12.06 thf(zip_derived_cl153, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((entry_box @ X1 @ ('#sk7' @ X1 @ X2)) & (number @ X1 @ one @ 89.46/12.06 ('#sk7' @ X1 @ X2)))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | (eiw_di @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (userid @ u @ X2 @ ('#sk7' @ X1 @ X2)))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl148, '6'])). 89.46/12.06 thf(zip_derived_cl156, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (entry_box @ X1 @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (number @ X1 @ one @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (userid @ u @ X2 @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | (eiw_di @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl153])). 89.46/12.06 thf(zip_derived_cl150, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (mand @ (userid @ u @ X2) @ 89.46/12.06 (mand @ (entry_box @ X1) @ (number @ X1 @ one)) @ 89.46/12.06 ('#sk7' @ X1 @ X2)) 89.46/12.06 | (do @ X0 @ X3 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl146])). 89.46/12.06 thf(zip_derived_cl154, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((userid @ u @ X2 @ ('#sk7' @ X1 @ X2)) & (mand @ 89.46/12.06 (entry_box @ X1) @ (number @ X1 @ one) @ ('#sk7' @ X1 @ X2)))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | (do @ X0 @ X3 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl150, '6'])). 89.46/12.06 thf(zip_derived_cl157, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (userid @ u @ X2 @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (mand @ (entry_box @ X1) @ (number @ X1 @ one) @ 89.46/12.06 ('#sk7' @ X1 @ X2)) 89.46/12.06 | (do @ X0 @ X3 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl154])). 89.46/12.06 thf(zip_derived_cl159, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (((entry_box @ X1 @ ('#sk7' @ X1 @ X2)) & (number @ X1 @ one @ 89.46/12.06 ('#sk7' @ X1 @ X2)))) 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | (do @ X0 @ X3 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (userid @ u @ X2 @ ('#sk7' @ X1 @ X2)))), 89.46/12.06 inference('rw_clause', [status(thm)], [zip_derived_cl157, '6'])). 89.46/12.06 thf(zip_derived_cl161, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 89.46/12.06 (~ (entry_box @ X1 @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (number @ X1 @ one @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | ~ (userid @ u @ X2 @ ('#sk7' @ X1 @ X2)) 89.46/12.06 | (do @ X0 @ X3 @ ('#sk8' @ X1 @ X2 @ X3 @ X0) @ 89.46/12.06 ('#sk6' @ X0 @ X1 @ X2 @ X3)) 89.46/12.06 | ~ (eiw_di @ X3 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X2 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X0 @ '#sk5'))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl159])). 89.46/12.06 thf(zip_derived_cl95, plain, 89.46/12.06 (![X0 : mworld, X1 : mworld, X2 : $i, X3 : $i, X4 : $i, X5 : $i]: 89.46/12.06 (~ (string @ X3 @ X1) 89.46/12.06 | ~ (entry_box @ X2 @ X1) 89.46/12.06 | ~ (mrel @ X1 @ X0) 89.46/12.06 | ~ (eiw_di @ X3 @ X1) 89.46/12.06 | ~ (mrel @ mactual @ X1) 89.46/12.06 | ~ (eiw_di @ X4 @ X1) 89.46/12.06 | ~ (eiw_di @ X2 @ X1) 89.46/12.06 | ~ (eiw_di @ X5 @ X0) 89.46/12.06 | (in @ X3 @ X2 @ X5 @ X0) 89.46/12.06 | ~ (do @ X4 @ ('#sk4' @ X1 @ X2 @ X4 @ X3) @ X5 @ X0))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl94])). 89.46/12.06 thf(zip_derived_cl672, plain, 89.46/12.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : mworld, X4 : $i, X5 : $i]: 89.46/12.06 (~ (eiw_di @ X1 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X5 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ X4 @ '#sk5') 89.46/12.06 | ~ (eiw_di @ ('#sk4' @ X3 @ X2 @ X1 @ X0) @ '#sk5') 89.46/12.06 | ~ (userid @ u @ X4 @ ('#sk7' @ X5 @ X4)) 89.46/12.06 | ~ (number @ X5 @ one @ ('#sk7' @ X5 @ X4)) 89.46/12.06 | ~ (entry_box @ X5 @ ('#sk7' @ X5 @ X4)) 89.46/12.06 | (in @ X0 @ X2 @ 89.46/12.06 ('#sk8' @ X5 @ X4 @ ('#sk4' @ X3 @ X2 @ X1 @ X0) @ X1) @ 89.46/12.06 ('#sk6' @ X1 @ X5 @ X4 @ ('#sk4' @ X3 @ X2 @ X1 @ X0))) 89.46/12.06 | ~ (eiw_di @ 89.46/12.06 ('#sk8' @ X5 @ X4 @ ('#sk4' @ X3 @ X2 @ X1 @ X0) @ X1) @ 89.46/12.06 ('#sk6' @ X1 @ X5 @ X4 @ ('#sk4' @ X3 @ X2 @ X1 @ X0))) 89.46/12.06 | ~ (eiw_di @ X2 @ X3) 89.46/12.06 | ~ (eiw_di @ X1 @ X3) 89.46/12.06 | ~ (mrel @ mactual @ X3) 89.46/12.06 | ~ (eiw_di @ X0 @ X3) 89.46/12.06 | ~ (mrel @ X3 @ 89.46/12.06 ('#sk6' @ X1 @ X5 @ X4 @ ('#sk4' @ X3 @ X2 @ X1 @ X0))) 89.46/12.06 | ~ (entry_box @ X2 @ X3) 89.46/12.06 | ~ (string @ X0 @ X3))), 89.46/12.06 inference('sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl95])). 89.46/12.06 thf(zip_derived_cl58, plain, 89.46/12.06 (![X2 : mworld, X4 : mworld, X6 : $i]: 89.46/12.06 (~ (eiw_di @ X6 @ X2) | ~ (mrel @ X4 @ X2) | (eiw_di @ X6 @ X4))), 89.46/12.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 89.46/12.06 thf(zip_derived_cl37072, plain, ($false), 89.46/12.06 inference('eprover', [status(thm)], 89.46/12.06 [zip_derived_cl863, zip_derived_cl168, zip_derived_cl34, 89.46/12.06 zip_derived_cl35, zip_derived_cl100, zip_derived_cl151, 89.46/12.06 zip_derived_cl309, zip_derived_cl84, zip_derived_cl271, 89.46/12.06 zip_derived_cl140, zip_derived_cl656, zip_derived_cl266, 89.46/12.06 zip_derived_cl129, zip_derived_cl166, zip_derived_cl184, 89.46/12.06 zip_derived_cl48, zip_derived_cl53, zip_derived_cl16, 89.46/12.06 zip_derived_cl189, zip_derived_cl47, zip_derived_cl611, 89.46/12.06 zip_derived_cl162, zip_derived_cl185, zip_derived_cl268, 89.46/12.06 zip_derived_cl269, zip_derived_cl156, zip_derived_cl672, 89.46/12.06 zip_derived_cl58])). 89.46/12.06 89.46/12.06 % SZS output end Refutation 89.46/12.06 89.46/12.06 89.46/12.07 % Terminating... 89.87/12.15 % Runner terminated. 89.87/12.15 % Zipperpin 1.5 exiting 89.87/12.15 EOF