0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.M1FKsbDV48 true 0.12/0.34 % Computer : n027.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Mon Jul 3 04:02:16 EDT 2023 0.12/0.34 % CPUTime : 0.12/0.34 % Running portfolio for 1440 s 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 % Running in HO mode 0.53/0.68 % Total configuration time : 828 0.53/0.68 % Estimated wc time : 1656 0.53/0.68 % Estimated cpu time (8 cpus) : 207.0 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.56/0.92 % Solved by lams/20_acsne_simpl.sh. 0.56/0.92 % done 112 iterations in 0.114s 0.56/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.56/0.92 % SZS output start Refutation 0.56/0.92 thf(mworld_type, type, mworld: $tType). 0.56/0.92 thf(mforall_di_type, type, mforall_di: ($i > mworld > $o) > mworld > $o). 0.56/0.92 thf('#sk4_type', type, '#sk4': $i > $i > $i > $i > mworld). 0.56/0.92 thf(mimplies_type, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o). 0.56/0.92 thf(one_type, type, one: $i). 0.56/0.92 thf('#sk5_type', type, '#sk5': $i > $i > mworld). 0.56/0.92 thf(mbox_type, type, mbox: (mworld > $o) > mworld > $o). 0.56/0.92 thf(userid_type, type, userid: $i > $i > mworld > $o). 0.56/0.92 thf(entry_box_type, type, entry_box: $i > mworld > $o). 0.56/0.92 thf(mactual_type, type, mactual: mworld). 0.56/0.92 thf(mand_type, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o). 0.56/0.92 thf(mexists_di_type, type, mexists_di: ($i > mworld > $o) > mworld > $o). 0.56/0.92 thf(do_type, type, do: $i > $i > $i > mworld > $o). 0.56/0.92 thf(mlocal_type, type, mlocal: (mworld > $o) > $o). 0.56/0.92 thf('#sk6_type', type, '#sk6': $i > $i > $i > $i > $i). 0.56/0.92 thf(u_type, type, u: $i). 0.56/0.92 thf(string_type, type, string: $i > mworld > $o). 0.56/0.92 thf('#sk3_type', type, '#sk3': mworld). 0.56/0.92 thf('#sk7_type', type, '#sk7': mworld > $i > $i > $i > $i). 0.56/0.92 thf('#sk1_type', type, '#sk1': $i). 0.56/0.92 thf(mrel_type, type, mrel: mworld > mworld > $o). 0.56/0.92 thf(in_type, type, in: $i > $i > $i > mworld > $o). 0.56/0.92 thf('#sk2_type', type, '#sk2': mworld > $i). 0.56/0.92 thf(number_type, type, number: $i > $i > mworld > $o). 0.56/0.92 thf(mexists_di_def, axiom,(( mexists_di ) = 0.56/0.92 (^[A:( $i > mworld > $o ),W:mworld]: ( ?[X:$i]: ( A @ X @ W ) )))). 0.56/0.92 thf('0', plain, 0.56/0.92 (( mexists_di ) = 0.56/0.92 ( ^[A:( $i > mworld > $o ),W:mworld]: ( ?[X:$i]: ( A @ X @ W ) ) )), 0.56/0.92 inference('simplify_rw_rule', [status(thm)], [mexists_di_def])). 0.56/0.92 thf('1', plain, 0.56/0.92 (( mexists_di ) = 0.56/0.92 ( ^[V_1:( $i > mworld > $o ),V_2:mworld]: 0.56/0.92 ( ?[X4:$i]: ( V_1 @ X4 @ V_2 ) ) )), 0.56/0.92 define([status(thm)])). 0.56/0.92 thf(mbox_def, axiom,(( mbox ) = 0.56/0.92 (^[Phi:( mworld > $o ),W:mworld]: 0.56/0.92 ( ![V:mworld]: ( ( mrel @ W @ V ) => ( Phi @ V ) ) )))). 0.56/0.92 thf('2', plain, 0.56/0.92 (( mbox ) = 0.56/0.92 ( ^[Phi:( mworld > $o ),W:mworld]: 0.56/0.92 ( ![V:mworld]: ( ( mrel @ W @ V ) => ( Phi @ V ) ) ) )), 0.56/0.92 inference('simplify_rw_rule', [status(thm)], [mbox_def])). 0.56/0.92 thf('3', plain, 0.56/0.92 (( mbox ) = 0.56/0.92 ( ^[V_1:( mworld > $o ),V_2:mworld]: 0.56/0.92 ( ![X4:mworld]: ( ( mrel @ V_2 @ X4 ) => ( V_1 @ X4 ) ) ) )), 0.56/0.92 define([status(thm)])). 0.56/0.92 thf(mand_def, axiom,(( mand ) = 0.56/0.92 (^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: ( ( A @ W ) & ( B @ W ) )))). 0.56/0.92 thf('4', plain, 0.56/0.92 (( mand ) = 0.56/0.92 ( ^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: 0.56/0.92 ( ( A @ W ) & ( B @ W ) ) )), 0.56/0.92 inference('simplify_rw_rule', [status(thm)], [mand_def])). 0.56/0.92 thf('5', plain, 0.56/0.92 (( mand ) = 0.56/0.92 ( ^[V_1:( mworld > $o ),V_2:( mworld > $o ),V_3:mworld]: 0.56/0.92 ( ( V_1 @ V_3 ) & ( V_2 @ V_3 ) ) )), 0.56/0.92 define([status(thm)])). 0.56/0.92 thf(mlocal_def, axiom,(( mlocal ) = 0.56/0.92 (^[Phi:( mworld > $o )]: ( Phi @ mactual )))). 0.56/0.92 thf('6', plain, (( mlocal ) = ( ^[Phi:( mworld > $o )]: ( Phi @ mactual ) )), 0.56/0.92 inference('simplify_rw_rule', [status(thm)], [mlocal_def])). 0.56/0.92 thf('7', plain, (( mlocal ) = ( ^[V_1:( mworld > $o )]: ( V_1 @ mactual ) )), 0.56/0.92 define([status(thm)])). 0.56/0.92 thf(ax1, axiom, 0.56/0.92 (mlocal @ 0.56/0.92 ( mbox @ 0.56/0.92 ( mexists_di @ 0.56/0.92 ( ^[I:$i]: ( mbox @ ( mand @ ( userid @ u @ I ) @ ( string @ I ) ) ) ) ) ))). 0.56/0.92 thf(zf_stmt_0, axiom, 0.56/0.92 (![X4:mworld]: 0.56/0.92 ( ( mrel @ mactual @ X4 ) => 0.56/0.92 ( ?[X6:$i]: 0.56/0.92 ( ![X8:mworld]: 0.56/0.92 ( ( mrel @ X4 @ X8 ) => 0.56/0.92 ( ( string @ X6 @ X8 ) & ( userid @ u @ X6 @ X8 ) ) ) ) ) ))). 0.56/0.92 thf(zip_derived_cl2, plain, 0.56/0.92 ( (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ mactual @ Y0) => 0.56/0.92 (((??) @ (^[Y1 : $i]: 0.56/0.92 (((!!) @ (^[Y2 : mworld]: 0.56/0.92 (((mrel @ Y0 @ Y2) => 0.56/0.92 (((string @ Y1 @ Y2) & 0.56/0.92 (userid @ u @ Y1 @ Y2))))))))))))))))), 0.56/0.92 inference('cnf', [status(esa)], [zf_stmt_0])). 0.56/0.92 thf(zip_derived_cl17, plain, 0.56/0.92 (![X2 : mworld]: 0.56/0.92 (((mrel @ mactual @ X2) => 0.56/0.92 (((??) @ (^[Y0 : $i]: 0.56/0.92 (((!!) @ (^[Y1 : mworld]: 0.56/0.92 (((mrel @ X2 @ Y1) => 0.56/0.92 (((string @ Y0 @ Y1) & (userid @ u @ 0.56/0.92 Y0 @ Y1)))))))))))))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 0.56/0.92 thf(zip_derived_cl18, plain, 0.56/0.92 (![X2 : mworld]: 0.56/0.92 (~ (mrel @ mactual @ X2) 0.56/0.92 | (((??) @ (^[Y0 : $i]: 0.56/0.92 (((!!) @ (^[Y1 : mworld]: 0.56/0.92 (((mrel @ X2 @ Y1) => 0.56/0.92 (((string @ Y0 @ Y1) & (userid @ u @ 0.56/0.92 Y0 @ Y1))))))))))))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])). 0.56/0.92 thf(zip_derived_cl19, plain, 0.56/0.92 (![X2 : mworld]: 0.56/0.92 ( (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ X2 @ Y0) => 0.56/0.92 (((string @ ('#sk2' @ X2) @ Y0) & (userid @ u @ 0.56/0.92 ('#sk2' @ X2) @ Y0)))))))) 0.56/0.92 | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl18])). 0.56/0.92 thf(zip_derived_cl20, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld]: 0.56/0.92 ( (((mrel @ X2 @ X4) => 0.56/0.92 (((string @ ('#sk2' @ X2) @ X4) & (userid @ u @ ('#sk2' @ X2) @ 0.56/0.92 X4))))) 0.56/0.92 | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])). 0.56/0.92 thf(zip_derived_cl21, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld]: 0.56/0.92 (~ (mrel @ X2 @ X4) 0.56/0.92 | (((string @ ('#sk2' @ X2) @ X4) & (userid @ u @ ('#sk2' @ X2) @ 0.56/0.92 X4))) 0.56/0.92 | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 0.56/0.92 thf(zip_derived_cl23, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld]: 0.56/0.92 ( (userid @ u @ ('#sk2' @ X2) @ X4) 0.56/0.92 | ~ (mrel @ mactual @ X2) 0.56/0.92 | ~ (mrel @ X2 @ X4))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 0.56/0.92 thf(ax2, axiom, 0.56/0.92 (mlocal @ 0.56/0.92 ( mexists_di @ 0.56/0.92 ( ^[B:$i]: 0.56/0.92 ( mbox @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) ) ))). 0.56/0.92 thf(zf_stmt_1, axiom, 0.56/0.92 (?[X4:$i]: 0.56/0.92 ( ![X6:mworld]: 0.56/0.92 ( ( mrel @ mactual @ X6 ) => 0.56/0.92 ( ( number @ X4 @ one @ X6 ) & ( entry_box @ X4 @ X6 ) ) ) ))). 0.56/0.92 thf(zip_derived_cl4, plain, 0.56/0.92 ( (((??) @ (^[Y0 : $i]: 0.56/0.92 (((!!) @ (^[Y1 : mworld]: 0.56/0.92 (((mrel @ mactual @ Y1) => 0.56/0.92 (((number @ Y0 @ one @ Y1) & (entry_box @ 0.56/0.92 Y0 @ Y1)))))))))))), 0.56/0.92 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.92 thf(zip_derived_cl12, plain, 0.56/0.92 ( (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ mactual @ Y0) => 0.56/0.92 (((number @ '#sk1' @ one @ Y0) & (entry_box @ '#sk1' @ 0.56/0.92 Y0))))))))), 0.56/0.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 0.56/0.92 thf(zip_derived_cl13, plain, 0.56/0.92 (![X2 : mworld]: 0.56/0.92 (((mrel @ mactual @ X2) => 0.56/0.92 (((number @ '#sk1' @ one @ X2) & (entry_box @ '#sk1' @ X2)))))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 0.56/0.92 thf(zip_derived_cl14, plain, 0.56/0.92 (![X2 : mworld]: 0.56/0.92 (~ (mrel @ mactual @ X2) 0.56/0.92 | (((number @ '#sk1' @ one @ X2) & (entry_box @ '#sk1' @ X2))))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 0.56/0.92 thf(zip_derived_cl15, plain, 0.56/0.92 (![X2 : mworld]: 0.56/0.92 ( (number @ '#sk1' @ one @ X2) | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl14])). 0.56/0.92 thf(zip_derived_cl16, plain, 0.56/0.92 (![X2 : mworld]: ( (entry_box @ '#sk1' @ X2) | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl14])). 0.56/0.92 thf(zip_derived_cl22, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld]: 0.56/0.92 ( (string @ ('#sk2' @ X2) @ X4) 0.56/0.92 | ~ (mrel @ mactual @ X2) 0.56/0.92 | ~ (mrel @ X2 @ X4))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 0.56/0.92 thf(zip_derived_cl16, plain, 0.56/0.92 (![X2 : mworld]: ( (entry_box @ '#sk1' @ X2) | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl14])). 0.56/0.92 thf(mforall_di_def, axiom,(( mforall_di ) = 0.56/0.92 (^[A:( $i > mworld > $o ),W:mworld]: ( ![X:$i]: ( A @ X @ W ) )))). 0.56/0.92 thf('8', plain, 0.56/0.92 (( mforall_di ) = 0.56/0.92 ( ^[A:( $i > mworld > $o ),W:mworld]: ( ![X:$i]: ( A @ X @ W ) ) )), 0.56/0.92 inference('simplify_rw_rule', [status(thm)], [mforall_di_def])). 0.56/0.92 thf('9', plain, 0.56/0.92 (( mforall_di ) = 0.56/0.92 ( ^[V_1:( $i > mworld > $o ),V_2:mworld]: 0.56/0.92 ( ![X4:$i]: ( V_1 @ X4 @ V_2 ) ) )), 0.56/0.92 define([status(thm)])). 0.56/0.92 thf(mimplies_def, axiom,(( mimplies ) = 0.56/0.92 (^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: 0.56/0.92 ( ( A @ W ) => ( B @ W ) )))). 0.56/0.92 thf('10', plain, 0.56/0.92 (( mimplies ) = 0.56/0.92 ( ^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: 0.56/0.92 ( ( A @ W ) => ( B @ W ) ) )), 0.56/0.92 inference('simplify_rw_rule', [status(thm)], [mimplies_def])). 0.56/0.92 thf('11', plain, 0.56/0.92 (( mimplies ) = 0.56/0.92 ( ^[V_1:( mworld > $o ),V_2:( mworld > $o ),V_3:mworld]: 0.56/0.92 ( ( V_1 @ V_3 ) => ( V_2 @ V_3 ) ) )), 0.56/0.92 define([status(thm)])). 0.56/0.92 thf(con, conjecture, 0.56/0.92 (mlocal @ 0.56/0.92 ( mbox @ 0.56/0.92 ( mexists_di @ 0.56/0.92 ( ^[I:$i]: 0.56/0.92 ( mexists_di @ 0.56/0.92 ( ^[B:$i]: 0.56/0.92 ( mexists_di @ 0.56/0.92 ( ^[A:$i]: 0.56/0.92 ( mexists_di @ 0.56/0.92 ( ^[S:$i]: 0.56/0.92 ( mand @ 0.56/0.92 ( mbox @ 0.56/0.92 ( mand @ 0.56/0.92 ( userid @ u @ I ) @ 0.56/0.92 ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) ) @ 0.56/0.92 ( mbox @ 0.56/0.92 ( mforall_di @ 0.56/0.92 ( ^[S2:$i]: 0.56/0.92 ( mimplies @ 0.56/0.92 ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.56/0.92 thf(zf_stmt_2, conjecture, 0.56/0.92 (![X4:mworld]: 0.56/0.92 ( ( mrel @ mactual @ X4 ) => 0.56/0.92 ( ?[X6:$i,X8:$i,X10:$i,X12:$i]: 0.56/0.92 ( ( ![X16:mworld]: 0.56/0.92 ( ( mrel @ X4 @ X16 ) => 0.56/0.92 ( ![X18:$i]: 0.56/0.92 ( ( do @ X12 @ X10 @ X18 @ X16 ) => 0.56/0.92 ( in @ X6 @ X8 @ X18 @ X16 ) ) ) ) ) & 0.56/0.92 ( ![X14:mworld]: 0.56/0.92 ( ( mrel @ X4 @ X14 ) => 0.56/0.92 ( ( number @ X8 @ one @ X14 ) & ( entry_box @ X8 @ X14 ) & 0.56/0.92 ( userid @ u @ X6 @ X14 ) ) ) ) ) ) ))). 0.56/0.92 thf(zf_stmt_3, negated_conjecture, 0.56/0.92 (~( ![X4:mworld]: 0.56/0.92 ( ( mrel @ mactual @ X4 ) => 0.56/0.92 ( ?[X6:$i,X8:$i,X10:$i,X12:$i]: 0.56/0.92 ( ( ![X16:mworld]: 0.56/0.92 ( ( mrel @ X4 @ X16 ) => 0.56/0.92 ( ![X18:$i]: 0.56/0.92 ( ( do @ X12 @ X10 @ X18 @ X16 ) => 0.56/0.92 ( in @ X6 @ X8 @ X18 @ X16 ) ) ) ) ) & 0.56/0.92 ( ![X14:mworld]: 0.56/0.92 ( ( mrel @ X4 @ X14 ) => 0.56/0.92 ( ( number @ X8 @ one @ X14 ) & ( entry_box @ X8 @ X14 ) & 0.56/0.92 ( userid @ u @ X6 @ X14 ) ) ) ) ) ) ) )), 0.56/0.92 inference('cnf.neg', [status(esa)], [zf_stmt_2])). 0.56/0.92 thf(zip_derived_cl5, plain, 0.56/0.92 (~ (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ mactual @ Y0) => 0.56/0.92 (((??) @ (^[Y1 : $i]: 0.56/0.92 (((??) @ (^[Y2 : $i]: 0.56/0.92 (((??) @ (^[Y3 : $i]: 0.56/0.92 (((??) @ (^[Y4 : $i]: 0.56/0.92 (( 0.56/0.92 (( 0.56/0.92 (!!) @ ( 0.56/0.92 ^[Y5 : mworld]: 0.56/0.92 (( 0.56/0.92 (mrel @ 0.56/0.92 Y0 @ 0.56/0.92 Y5) => 0.56/0.92 (( 0.56/0.92 (!!) @ ( 0.56/0.92 ^[Y6 : $i]: 0.56/0.92 (( 0.56/0.92 (do @ 0.56/0.92 Y4 @ 0.56/0.92 Y3 @ 0.56/0.92 Y6 @ 0.56/0.92 Y5) => 0.56/0.92 (in @ 0.56/0.92 Y1 @ 0.56/0.92 Y2 @ 0.56/0.92 Y6 @ Y5))))))))))) & 0.56/0.92 (( 0.56/0.92 (!!) @ ( 0.56/0.92 ^[Y5 : mworld]: 0.56/0.92 (( 0.56/0.92 (mrel @ 0.56/0.92 Y0 @ 0.56/0.92 Y5) => 0.56/0.92 (( 0.56/0.92 ( 0.56/0.92 number @ 0.56/0.92 Y2 @ 0.56/0.92 one @ Y5) & 0.56/0.92 ( 0.56/0.92 entry_box @ 0.56/0.92 Y2 @ Y5) & 0.56/0.92 ( 0.56/0.92 userid @ 0.56/0.92 u @ Y1 @ 0.56/0.92 Y5)))))))))))))))))))))))))))), 0.56/0.92 inference('cnf', [status(esa)], [zf_stmt_3])). 0.56/0.92 thf(zip_derived_cl24, plain, 0.56/0.92 (~ (((mrel @ mactual @ '#sk3') => 0.56/0.92 (((??) @ (^[Y0 : $i]: 0.56/0.92 (((??) @ (^[Y1 : $i]: 0.56/0.92 (((??) @ (^[Y2 : $i]: 0.56/0.92 (((??) @ (^[Y3 : $i]: 0.56/0.92 (((((!!) @ ( 0.56/0.92 ^[Y4 : mworld]: 0.56/0.92 (((mrel @ 0.56/0.92 '#sk3' @ 0.56/0.92 Y4) => 0.56/0.92 (((!!) @ ( 0.56/0.92 ^[Y5 : $i]: 0.56/0.92 (( 0.56/0.92 (do @ 0.56/0.92 Y3 @ 0.56/0.92 Y2 @ 0.56/0.92 Y5 @ 0.56/0.92 Y4) => 0.56/0.92 (in @ 0.56/0.92 Y0 @ 0.56/0.92 Y1 @ 0.56/0.92 Y5 @ Y4))))))))))) & 0.56/0.92 (((!!) @ ( 0.56/0.92 ^[Y4 : mworld]: 0.56/0.92 (((mrel @ 0.56/0.92 '#sk3' @ 0.56/0.92 Y4) => 0.56/0.92 (((number @ 0.56/0.92 Y1 @ 0.56/0.92 one @ Y4) & 0.56/0.92 (entry_box @ 0.56/0.92 Y1 @ Y4) & 0.56/0.92 (userid @ 0.56/0.92 u @ Y0 @ 0.56/0.92 Y4))))))))))))))))))))))))), 0.56/0.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 0.56/0.92 thf(zip_derived_cl26, plain, 0.56/0.92 (~ (((??) @ (^[Y0 : $i]: 0.56/0.92 (((??) @ (^[Y1 : $i]: 0.56/0.92 (((??) @ (^[Y2 : $i]: 0.56/0.92 (((??) @ (^[Y3 : $i]: 0.56/0.92 (((((!!) @ (^[Y4 : mworld]: 0.56/0.92 (( 0.56/0.92 (mrel @ 0.56/0.92 '#sk3' @ 0.56/0.92 Y4) => 0.56/0.92 (( 0.56/0.92 (!!) @ ( 0.56/0.92 ^[Y5 : $i]: 0.56/0.92 (( 0.56/0.92 (do @ 0.56/0.92 Y3 @ 0.56/0.92 Y2 @ 0.56/0.92 Y5 @ 0.56/0.92 Y4) => 0.56/0.92 (in @ 0.56/0.92 Y0 @ 0.56/0.92 Y1 @ 0.56/0.92 Y5 @ Y4))))))))))) & 0.56/0.92 (((!!) @ (^[Y4 : mworld]: 0.56/0.92 (( 0.56/0.92 (mrel @ 0.56/0.92 '#sk3' @ 0.56/0.92 Y4) => 0.56/0.92 (( 0.56/0.92 ( 0.56/0.92 number @ 0.56/0.92 Y1 @ 0.56/0.92 one @ Y4) & 0.56/0.92 ( 0.56/0.92 entry_box @ 0.56/0.92 Y1 @ Y4) & 0.56/0.92 ( 0.56/0.92 userid @ 0.56/0.92 u @ Y0 @ 0.56/0.92 Y4))))))))))))))))))))))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 0.56/0.92 thf(zip_derived_cl27, plain, 0.56/0.92 (![X2 : $i]: 0.56/0.92 ~ (((??) @ (^[Y0 : $i]: 0.56/0.92 (((??) @ (^[Y1 : $i]: 0.56/0.92 (((??) @ (^[Y2 : $i]: 0.56/0.92 (((((!!) @ (^[Y3 : mworld]: 0.56/0.92 (((mrel @ 0.56/0.92 '#sk3' @ Y3) => 0.56/0.92 (((!!) @ ( 0.56/0.92 ^[Y4 : $i]: 0.56/0.92 (((do @ 0.56/0.92 Y2 @ Y1 @ 0.56/0.92 Y4 @ 0.56/0.92 Y3) => 0.56/0.92 (in @ 0.56/0.92 X2 @ Y0 @ 0.56/0.92 Y4 @ Y3))))))))))) & 0.56/0.92 (((!!) @ (^[Y3 : mworld]: 0.56/0.92 (((mrel @ 0.56/0.92 '#sk3' @ Y3) => 0.56/0.92 (((number @ 0.56/0.92 Y0 @ one @ Y3) & 0.56/0.92 (entry_box @ 0.56/0.92 Y0 @ Y3) & 0.56/0.92 (userid @ u @ 0.56/0.92 X2 @ Y3)))))))))))))))))))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl26])). 0.56/0.92 thf(zip_derived_cl28, plain, 0.56/0.92 (![X2 : $i, X4 : $i]: 0.56/0.92 ~ (((??) @ (^[Y0 : $i]: 0.56/0.92 (((??) @ (^[Y1 : $i]: 0.56/0.92 (((((!!) @ (^[Y2 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y2) => 0.56/0.92 (((!!) @ (^[Y3 : $i]: 0.56/0.92 (((do @ Y1 @ 0.56/0.92 Y0 @ Y3 @ 0.56/0.92 Y2) => (in @ 0.56/0.92 X2 @ X4 @ 0.56/0.92 Y3 @ Y2))))))))))) & 0.56/0.92 (((!!) @ (^[Y2 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y2) => 0.56/0.92 (((number @ X4 @ one @ Y2) & 0.56/0.92 (entry_box @ X4 @ Y2) & 0.56/0.92 (userid @ u @ X2 @ Y2))))))))))))))))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])). 0.56/0.92 thf(zip_derived_cl29, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i]: 0.56/0.92 ~ (((??) @ (^[Y0 : $i]: 0.56/0.92 (((((!!) @ (^[Y1 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y1) => 0.56/0.92 (((!!) @ (^[Y2 : $i]: 0.56/0.92 (((do @ Y0 @ X6 @ Y2 @ 0.56/0.92 Y1) => (in @ X2 @ X4 @ 0.56/0.92 Y2 @ Y1))))))))))) & 0.56/0.92 (((!!) @ (^[Y1 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y1) => 0.56/0.92 (((number @ X4 @ one @ Y1) & 0.56/0.92 (entry_box @ X4 @ Y1) & 0.56/0.92 (userid @ u @ X2 @ Y1)))))))))))))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])). 0.56/0.92 thf(zip_derived_cl30, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 ~ (((((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y0) => 0.56/0.92 (((!!) @ (^[Y1 : $i]: 0.56/0.92 (((do @ X8 @ X6 @ Y1 @ Y0) => (in @ 0.56/0.92 X2 @ X4 @ Y1 @ Y0))))))))))) & 0.56/0.92 (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y0) => 0.56/0.92 (((number @ X4 @ one @ Y0) & 0.56/0.92 (entry_box @ X4 @ Y0) & (userid @ u @ X2 @ Y0))))))))))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 0.56/0.92 thf(zip_derived_cl31, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y0) => 0.56/0.92 (((!!) @ (^[Y1 : $i]: 0.56/0.92 (((do @ X8 @ X6 @ Y1 @ Y0) => (in @ X2 @ 0.56/0.92 X4 @ Y1 @ Y0))))))))))) 0.56/0.92 | ~ (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y0) => 0.56/0.92 (((number @ X4 @ one @ Y0) & 0.56/0.92 (entry_box @ X4 @ Y0) & (userid @ u @ X2 @ Y0)))))))))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 0.56/0.92 thf(zip_derived_cl32, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (((mrel @ '#sk3' @ ('#sk4' @ X2 @ X4 @ X6 @ X8)) => 0.56/0.92 (((!!) @ (^[Y0 : $i]: 0.56/0.92 (((do @ X8 @ X6 @ Y0 @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)) => (in @ X2 @ X4 @ 0.56/0.92 Y0 @ ('#sk4' @ X2 @ X4 @ X6 @ X8))))))))) 0.56/0.92 | ~ (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y0) => 0.56/0.92 (((number @ X4 @ one @ Y0) & 0.56/0.92 (entry_box @ X4 @ Y0) & (userid @ u @ X2 @ Y0)))))))))), 0.56/0.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl31])). 0.56/0.92 thf(zip_derived_cl34, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (((!!) @ (^[Y0 : $i]: 0.56/0.92 (((do @ X8 @ X6 @ Y0 @ ('#sk4' @ X2 @ X4 @ X6 @ X8)) => 0.56/0.92 (in @ X2 @ X4 @ Y0 @ ('#sk4' @ X2 @ X4 @ X6 @ X8))))))) 0.56/0.92 | ~ (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y0) => 0.56/0.92 (((number @ X4 @ one @ Y0) & 0.56/0.92 (entry_box @ X4 @ Y0) & (userid @ u @ X2 @ Y0)))))))))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 0.56/0.92 thf(zip_derived_cl36, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (((do @ X8 @ X6 @ ('#sk6' @ X2 @ X4 @ X6 @ X8) @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)) => (in @ X2 @ X4 @ 0.56/0.92 ('#sk6' @ X2 @ X4 @ X6 @ X8) @ ('#sk4' @ X2 @ X4 @ X6 @ X8)))) 0.56/0.92 | ~ (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y0) => 0.56/0.92 (((number @ X4 @ one @ Y0) & 0.56/0.92 (entry_box @ X4 @ Y0) & (userid @ u @ X2 @ Y0)))))))))), 0.56/0.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl34])). 0.56/0.92 thf(zip_derived_cl40, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (in @ X2 @ X4 @ ('#sk6' @ X2 @ X4 @ X6 @ X8) @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)) 0.56/0.92 | ~ (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y0) => 0.56/0.92 (((number @ X4 @ one @ Y0) & 0.56/0.92 (entry_box @ X4 @ Y0) & (userid @ u @ X2 @ Y0)))))))))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 0.56/0.92 thf(zip_derived_cl43, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (((mrel @ '#sk3' @ ('#sk5' @ X2 @ X4)) => 0.56/0.92 (((number @ X4 @ one @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (entry_box @ X4 @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (userid @ u @ X2 @ ('#sk5' @ X2 @ X4)))))) 0.56/0.92 | ~ (in @ X2 @ X4 @ ('#sk6' @ X2 @ X4 @ X6 @ X8) @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl40])). 0.56/0.92 thf(zip_derived_cl46, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | ~ (in @ X2 @ X4 @ ('#sk6' @ X2 @ X4 @ X6 @ X8) @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl43])). 0.56/0.92 thf(mrel_reflexive, axiom, (![W:mworld]: ( mrel @ W @ W ))). 0.56/0.92 thf(zip_derived_cl3, plain, ( (((!!) @ (^[Y0 : mworld]: (mrel @ Y0 @ Y0))))), 0.56/0.92 inference('cnf', [status(esa)], [mrel_reflexive])). 0.56/0.92 thf(zip_derived_cl6, plain, (![X2 : mworld]: (mrel @ X2 @ X2)), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 0.56/0.92 thf(zip_derived_cl22, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld]: 0.56/0.92 ( (string @ ('#sk2' @ X2) @ X4) 0.56/0.92 | ~ (mrel @ mactual @ X2) 0.56/0.92 | ~ (mrel @ X2 @ X4))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 0.56/0.92 thf(zip_derived_cl16, plain, 0.56/0.92 (![X2 : mworld]: ( (entry_box @ '#sk1' @ X2) | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl14])). 0.56/0.92 thf(zip_derived_cl33, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk4' @ X2 @ X4 @ X6 @ X8)) 0.56/0.92 | ~ (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y0) => 0.56/0.92 (((number @ X4 @ one @ Y0) & 0.56/0.92 (entry_box @ X4 @ Y0) & (userid @ u @ X2 @ Y0)))))))))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 0.56/0.92 thf(zip_derived_cl35, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (((mrel @ '#sk3' @ ('#sk5' @ X2 @ X4)) => 0.56/0.92 (((number @ X4 @ one @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (entry_box @ X4 @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (userid @ u @ X2 @ ('#sk5' @ X2 @ X4)))))) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl33])). 0.56/0.92 thf(zip_derived_cl37, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])). 0.56/0.92 thf(ax3, axiom, 0.56/0.92 (mlocal @ 0.56/0.92 ( mbox @ 0.56/0.92 ( mforall_di @ 0.56/0.92 ( ^[S:$i]: 0.56/0.92 ( mforall_di @ 0.56/0.92 ( ^[I:$i]: 0.56/0.92 ( mforall_di @ 0.56/0.92 ( ^[B:$i]: 0.56/0.92 ( mimplies @ 0.56/0.92 ( mand @ ( string @ I ) @ ( entry_box @ B ) ) @ 0.56/0.92 ( mexists_di @ 0.56/0.92 ( ^[A:$i]: 0.56/0.92 ( mbox @ 0.56/0.92 ( mforall_di @ 0.56/0.92 ( ^[S2:$i]: 0.56/0.92 ( mimplies @ 0.56/0.92 ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.56/0.92 thf(zf_stmt_4, axiom, 0.56/0.92 (![X4:mworld]: 0.56/0.92 ( ( mrel @ mactual @ X4 ) => 0.56/0.92 ( ![X6:$i,X8:$i,X10:$i]: 0.56/0.92 ( ( ( entry_box @ X10 @ X4 ) & ( string @ X8 @ X4 ) ) => 0.56/0.92 ( ?[X12:$i]: 0.56/0.92 ( ![X14:mworld]: 0.56/0.92 ( ( mrel @ X4 @ X14 ) => 0.56/0.92 ( ![X16:$i]: 0.56/0.92 ( ( do @ X6 @ X12 @ X16 @ X14 ) => 0.56/0.92 ( in @ X8 @ X10 @ X16 @ X14 ) ) ) ) ) ) ) ) ))). 0.56/0.92 thf(zip_derived_cl0, plain, 0.56/0.92 ( (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ mactual @ Y0) => 0.56/0.92 (((!!) @ (^[Y1 : $i]: 0.56/0.92 (((!!) @ (^[Y2 : $i]: 0.56/0.92 (((!!) @ (^[Y3 : $i]: 0.56/0.92 (((((entry_box @ 0.56/0.92 Y3 @ Y0) & 0.56/0.92 (string @ Y2 @ 0.56/0.92 Y0))) => 0.56/0.92 (((??) @ (^[Y4 : $i]: 0.56/0.92 (( 0.56/0.92 (!!) @ ( 0.56/0.92 ^[Y5 : mworld]: 0.56/0.92 (( 0.56/0.92 (mrel @ 0.56/0.92 Y0 @ 0.56/0.92 Y5) => 0.56/0.92 (( 0.56/0.92 (!!) @ ( 0.56/0.92 ^[Y6 : $i]: 0.56/0.92 (( 0.56/0.92 (do @ 0.56/0.92 Y1 @ 0.56/0.92 Y4 @ 0.56/0.92 Y6 @ 0.56/0.92 Y5) => 0.56/0.92 (in @ 0.56/0.92 Y2 @ 0.56/0.92 Y3 @ 0.56/0.92 Y6 @ Y5))))))))))))))))))))))))))))))), 0.56/0.92 inference('cnf', [status(esa)], [zf_stmt_4])). 0.56/0.92 thf(zip_derived_cl50, plain, 0.56/0.92 (![X2 : mworld]: 0.56/0.92 (((mrel @ mactual @ X2) => 0.56/0.92 (((!!) @ (^[Y0 : $i]: 0.56/0.92 (((!!) @ (^[Y1 : $i]: 0.56/0.92 (((!!) @ (^[Y2 : $i]: 0.56/0.92 (((((entry_box @ Y2 @ X2) & 0.56/0.92 (string @ Y1 @ X2))) => 0.56/0.92 (((??) @ (^[Y3 : $i]: 0.56/0.92 (((!!) @ ( 0.56/0.92 ^[Y4 : mworld]: 0.56/0.92 (((mrel @ 0.56/0.92 X2 @ Y4) => 0.56/0.92 (((!!) @ ( 0.56/0.92 ^[Y5 : $i]: 0.56/0.92 (( 0.56/0.92 (do @ 0.56/0.92 Y0 @ 0.56/0.92 Y3 @ 0.56/0.92 Y5 @ 0.56/0.92 Y4) => 0.56/0.92 (in @ 0.56/0.92 Y1 @ 0.56/0.92 Y2 @ 0.56/0.92 Y5 @ Y4)))))))))))))))))))))))))))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 0.56/0.92 thf(zip_derived_cl51, plain, 0.56/0.92 (![X2 : mworld]: 0.56/0.92 (~ (mrel @ mactual @ X2) 0.56/0.92 | (((!!) @ (^[Y0 : $i]: 0.56/0.92 (((!!) @ (^[Y1 : $i]: 0.56/0.92 (((!!) @ (^[Y2 : $i]: 0.56/0.92 (((((entry_box @ Y2 @ X2) & 0.56/0.92 (string @ Y1 @ X2))) => 0.56/0.92 (((??) @ (^[Y3 : $i]: 0.56/0.92 (((!!) @ ( 0.56/0.92 ^[Y4 : mworld]: 0.56/0.92 (((mrel @ 0.56/0.92 X2 @ 0.56/0.92 Y4) => 0.56/0.92 (( 0.56/0.92 (!!) @ ( 0.56/0.92 ^[Y5 : $i]: 0.56/0.92 (( 0.56/0.92 (do @ 0.56/0.92 Y0 @ 0.56/0.92 Y3 @ 0.56/0.92 Y5 @ 0.56/0.92 Y4) => 0.56/0.92 (in @ 0.56/0.92 Y1 @ 0.56/0.92 Y2 @ 0.56/0.92 Y5 @ Y4))))))))))))))))))))))))))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 0.56/0.92 thf(zip_derived_cl52, plain, 0.56/0.92 (![X2 : mworld, X4 : $i]: 0.56/0.92 ( (((!!) @ (^[Y0 : $i]: 0.56/0.92 (((!!) @ (^[Y1 : $i]: 0.56/0.92 (((((entry_box @ Y1 @ X2) & (string @ Y0 @ 0.56/0.92 X2))) => 0.56/0.92 (((??) @ (^[Y2 : $i]: 0.56/0.92 (((!!) @ (^[Y3 : mworld]: 0.56/0.92 (((mrel @ X2 @ 0.56/0.92 Y3) => 0.56/0.92 (((!!) @ ( 0.56/0.92 ^[Y4 : $i]: 0.56/0.92 (((do @ 0.56/0.92 X4 @ Y2 @ 0.56/0.92 Y4 @ 0.56/0.92 Y3) => 0.56/0.92 (in @ 0.56/0.92 Y0 @ Y1 @ 0.56/0.92 Y4 @ Y3)))))))))))))))))))))) 0.56/0.92 | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl51])). 0.56/0.92 thf(zip_derived_cl53, plain, 0.56/0.92 (![X2 : mworld, X4 : $i, X6 : $i]: 0.56/0.92 ( (((!!) @ (^[Y0 : $i]: 0.56/0.92 (((((entry_box @ Y0 @ X2) & (string @ X6 @ X2))) => 0.56/0.92 (((??) @ (^[Y1 : $i]: 0.56/0.92 (((!!) @ (^[Y2 : mworld]: 0.56/0.92 (((mrel @ X2 @ Y2) => 0.56/0.92 (((!!) @ (^[Y3 : $i]: 0.56/0.92 (((do @ X4 @ 0.56/0.92 Y1 @ Y3 @ 0.56/0.92 Y2) => (in @ 0.56/0.92 X6 @ Y0 @ 0.56/0.92 Y3 @ Y2))))))))))))))))))) 0.56/0.92 | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])). 0.56/0.92 thf(zip_derived_cl54, plain, 0.56/0.92 (![X2 : mworld, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 ( (((((entry_box @ X8 @ X2) & (string @ X6 @ X2))) => 0.56/0.92 (((??) @ (^[Y0 : $i]: 0.56/0.92 (((!!) @ (^[Y1 : mworld]: 0.56/0.92 (((mrel @ X2 @ Y1) => 0.56/0.92 (((!!) @ (^[Y2 : $i]: 0.56/0.92 (((do @ X4 @ Y0 @ Y2 @ 0.56/0.92 Y1) => (in @ X6 @ X8 @ 0.56/0.92 Y2 @ Y1)))))))))))))))) 0.56/0.92 | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl53])). 0.56/0.92 thf(zip_derived_cl55, plain, 0.56/0.92 (![X2 : mworld, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (((entry_box @ X8 @ X2) & (string @ X6 @ X2))) 0.56/0.92 | (((??) @ (^[Y0 : $i]: 0.56/0.92 (((!!) @ (^[Y1 : mworld]: 0.56/0.92 (((mrel @ X2 @ Y1) => 0.56/0.92 (((!!) @ (^[Y2 : $i]: 0.56/0.92 (((do @ X4 @ Y0 @ Y2 @ 0.56/0.92 Y1) => (in @ X6 @ X8 @ 0.56/0.92 Y2 @ Y1)))))))))))))) 0.56/0.92 | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 0.56/0.92 thf(zip_derived_cl56, plain, 0.56/0.92 (![X2 : mworld, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (entry_box @ X8 @ X2) 0.56/0.92 | ~ (string @ X6 @ X2) 0.56/0.92 | ~ (mrel @ mactual @ X2) 0.56/0.92 | (((??) @ (^[Y0 : $i]: 0.56/0.92 (((!!) @ (^[Y1 : mworld]: 0.56/0.92 (((mrel @ X2 @ Y1) => 0.56/0.92 (((!!) @ (^[Y2 : $i]: 0.56/0.92 (((do @ X4 @ Y0 @ Y2 @ 0.56/0.92 Y1) => (in @ X6 @ X8 @ 0.56/0.92 Y2 @ Y1)))))))))))))))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 0.56/0.92 thf(zip_derived_cl57, plain, 0.56/0.92 (![X2 : mworld, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 ( (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ X2 @ Y0) => 0.56/0.92 (((!!) @ (^[Y1 : $i]: 0.56/0.92 (((do @ X4 @ 0.56/0.92 ('#sk7' @ X2 @ X4 @ X6 @ X8) @ Y1 @ 0.56/0.92 Y0) => (in @ X6 @ X8 @ Y1 @ Y0))))))))))) 0.56/0.92 | ~ (mrel @ mactual @ X2) 0.56/0.92 | ~ (string @ X6 @ X2) 0.56/0.92 | ~ (entry_box @ X8 @ X2))), 0.56/0.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl56])). 0.56/0.92 thf(zip_derived_cl58, plain, 0.56/0.92 (![X2 : mworld, X4 : $i, X6 : $i, X8 : $i, X10 : mworld]: 0.56/0.92 ( (((mrel @ X2 @ X10) => 0.56/0.92 (((!!) @ (^[Y0 : $i]: 0.56/0.92 (((do @ X4 @ ('#sk7' @ X2 @ X4 @ X6 @ X8) @ Y0 @ 0.56/0.92 X10) => (in @ X6 @ X8 @ Y0 @ X10)))))))) 0.56/0.92 | ~ (entry_box @ X8 @ X2) 0.56/0.92 | ~ (string @ X6 @ X2) 0.56/0.92 | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])). 0.56/0.92 thf(zip_derived_cl59, plain, 0.56/0.92 (![X2 : mworld, X4 : $i, X6 : $i, X8 : $i, X10 : mworld]: 0.56/0.92 (~ (mrel @ X2 @ X10) 0.56/0.92 | (((!!) @ (^[Y0 : $i]: 0.56/0.92 (((do @ X4 @ ('#sk7' @ X2 @ X4 @ X6 @ X8) @ Y0 @ 0.56/0.92 X10) => (in @ X6 @ X8 @ Y0 @ X10)))))) 0.56/0.92 | ~ (mrel @ mactual @ X2) 0.56/0.92 | ~ (string @ X6 @ X2) 0.56/0.92 | ~ (entry_box @ X8 @ X2))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 0.56/0.92 thf(zip_derived_cl60, plain, 0.56/0.92 (![X2 : mworld, X4 : $i, X6 : $i, X8 : $i, X10 : mworld, X12 : $i]: 0.56/0.92 ( (((do @ X4 @ ('#sk7' @ X2 @ X4 @ X6 @ X8) @ X12 @ X10) => (in @ 0.56/0.92 X6 @ X8 @ X12 @ X10))) 0.56/0.92 | ~ (entry_box @ X8 @ X2) 0.56/0.92 | ~ (string @ X6 @ X2) 0.56/0.92 | ~ (mrel @ mactual @ X2) 0.56/0.92 | ~ (mrel @ X2 @ X10))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl59])). 0.56/0.92 thf(zip_derived_cl61, plain, 0.56/0.92 (![X2 : mworld, X4 : $i, X6 : $i, X8 : $i, X10 : mworld, X12 : $i]: 0.56/0.92 (~ (do @ X4 @ ('#sk7' @ X2 @ X4 @ X6 @ X8) @ X12 @ X10) 0.56/0.92 | (in @ X6 @ X8 @ X12 @ X10) 0.56/0.92 | ~ (mrel @ X2 @ X10) 0.56/0.92 | ~ (mrel @ mactual @ X2) 0.56/0.92 | ~ (string @ X6 @ X2) 0.56/0.92 | ~ (entry_box @ X8 @ X2))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl60])). 0.56/0.92 thf(zip_derived_cl39, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 ( (do @ X8 @ X6 @ ('#sk6' @ X2 @ X4 @ X6 @ X8) @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)) 0.56/0.92 | ~ (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((mrel @ '#sk3' @ Y0) => 0.56/0.92 (((number @ X4 @ one @ Y0) & 0.56/0.92 (entry_box @ X4 @ Y0) & (userid @ u @ X2 @ Y0)))))))))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 0.56/0.92 thf(zip_derived_cl42, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (((mrel @ '#sk3' @ ('#sk5' @ X2 @ X4)) => 0.56/0.92 (((number @ X4 @ one @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (entry_box @ X4 @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (userid @ u @ X2 @ ('#sk5' @ X2 @ X4)))))) 0.56/0.92 | (do @ X8 @ X6 @ ('#sk6' @ X2 @ X4 @ X6 @ X8) @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])). 0.56/0.92 thf(zip_derived_cl44, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | (do @ X8 @ X6 @ ('#sk6' @ X2 @ X4 @ X6 @ X8) @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl42])). 0.56/0.92 thf(zip_derived_cl93, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : mworld, X4 : $i, X5 : $i]: 0.56/0.92 (~ (entry_box @ X1 @ X3) 0.56/0.92 | ~ (string @ X2 @ X3) 0.56/0.92 | ~ (mrel @ mactual @ X3) 0.56/0.92 | ~ (mrel @ X3 @ 0.56/0.92 ('#sk4' @ X5 @ X4 @ ('#sk7' @ X3 @ X0 @ X2 @ X1) @ X0)) 0.56/0.92 | (in @ X2 @ X1 @ 0.56/0.92 ('#sk6' @ X5 @ X4 @ ('#sk7' @ X3 @ X0 @ X2 @ X1) @ X0) @ 0.56/0.92 ('#sk4' @ X5 @ X4 @ ('#sk7' @ X3 @ X0 @ X2 @ X1) @ X0)) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk5' @ X5 @ X4)))), 0.56/0.92 inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl44])). 0.56/0.92 thf(zip_derived_cl102, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk5' @ X4 @ X3)) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk5' @ X4 @ X3)) 0.56/0.92 | (in @ X2 @ X1 @ 0.56/0.92 ('#sk6' @ X4 @ X3 @ ('#sk7' @ '#sk3' @ X0 @ X2 @ X1) @ X0) @ 0.56/0.92 ('#sk4' @ X4 @ X3 @ ('#sk7' @ '#sk3' @ X0 @ X2 @ X1) @ X0)) 0.56/0.92 | ~ (mrel @ mactual @ '#sk3') 0.56/0.92 | ~ (string @ X2 @ '#sk3') 0.56/0.92 | ~ (entry_box @ X1 @ '#sk3'))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl93])). 0.56/0.92 thf(zip_derived_cl25, plain, ( (mrel @ mactual @ '#sk3')), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 0.56/0.92 thf(zip_derived_cl106, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk5' @ X4 @ X3)) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk5' @ X4 @ X3)) 0.56/0.92 | (in @ X2 @ X1 @ 0.56/0.92 ('#sk6' @ X4 @ X3 @ ('#sk7' @ '#sk3' @ X0 @ X2 @ X1) @ X0) @ 0.56/0.92 ('#sk4' @ X4 @ X3 @ ('#sk7' @ '#sk3' @ X0 @ X2 @ X1) @ X0)) 0.56/0.92 | ~ (string @ X2 @ '#sk3') 0.56/0.92 | ~ (entry_box @ X1 @ '#sk3'))), 0.56/0.92 inference('demod', [status(thm)], [zip_derived_cl102, zip_derived_cl25])). 0.56/0.92 thf(zip_derived_cl107, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]: 0.56/0.92 (~ (entry_box @ X1 @ '#sk3') 0.56/0.92 | ~ (string @ X2 @ '#sk3') 0.56/0.92 | (in @ X2 @ X1 @ 0.56/0.92 ('#sk6' @ X4 @ X3 @ ('#sk7' @ '#sk3' @ X0 @ X2 @ X1) @ X0) @ 0.56/0.92 ('#sk4' @ X4 @ X3 @ ('#sk7' @ '#sk3' @ X0 @ X2 @ X1) @ X0)) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk5' @ X4 @ X3)))), 0.56/0.92 inference('simplify', [status(thm)], [zip_derived_cl106])). 0.56/0.92 thf(zip_derived_cl114, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 0.56/0.92 (~ (mrel @ mactual @ '#sk3') 0.56/0.92 | (mrel @ '#sk3' @ ('#sk5' @ X1 @ X0)) 0.56/0.92 | (in @ X3 @ '#sk1' @ 0.56/0.92 ('#sk6' @ X1 @ X0 @ ('#sk7' @ '#sk3' @ X2 @ X3 @ '#sk1') @ X2) @ 0.56/0.92 ('#sk4' @ X1 @ X0 @ ('#sk7' @ '#sk3' @ X2 @ X3 @ '#sk1') @ X2)) 0.56/0.92 | ~ (string @ X3 @ '#sk3'))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl107])). 0.56/0.92 thf(zip_derived_cl25, plain, ( (mrel @ mactual @ '#sk3')), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 0.56/0.92 thf(zip_derived_cl116, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk5' @ X1 @ X0)) 0.56/0.92 | (in @ X3 @ '#sk1' @ 0.56/0.92 ('#sk6' @ X1 @ X0 @ ('#sk7' @ '#sk3' @ X2 @ X3 @ '#sk1') @ X2) @ 0.56/0.92 ('#sk4' @ X1 @ X0 @ ('#sk7' @ '#sk3' @ X2 @ X3 @ '#sk1') @ X2)) 0.56/0.92 | ~ (string @ X3 @ '#sk3'))), 0.56/0.92 inference('demod', [status(thm)], [zip_derived_cl114, zip_derived_cl25])). 0.56/0.92 thf(zip_derived_cl118, plain, 0.56/0.92 (![X0 : mworld, X1 : $i, X2 : $i, X3 : $i]: 0.56/0.92 (~ (mrel @ X0 @ '#sk3') 0.56/0.92 | ~ (mrel @ mactual @ X0) 0.56/0.92 | (in @ ('#sk2' @ X0) @ '#sk1' @ 0.56/0.92 ('#sk6' @ X3 @ X2 @ 0.56/0.92 ('#sk7' @ '#sk3' @ X1 @ ('#sk2' @ X0) @ '#sk1') @ X1) @ 0.56/0.92 ('#sk4' @ X3 @ X2 @ 0.56/0.92 ('#sk7' @ '#sk3' @ X1 @ ('#sk2' @ X0) @ '#sk1') @ X1)) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk5' @ X3 @ X2)))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl116])). 0.56/0.92 thf(zip_derived_cl121, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i]: 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk5' @ X1 @ X0)) 0.56/0.92 | (in @ ('#sk2' @ '#sk3') @ '#sk1' @ 0.56/0.92 ('#sk6' @ X1 @ X0 @ 0.56/0.92 ('#sk7' @ '#sk3' @ X2 @ ('#sk2' @ '#sk3') @ '#sk1') @ X2) @ 0.56/0.92 ('#sk4' @ X1 @ X0 @ 0.56/0.92 ('#sk7' @ '#sk3' @ X2 @ ('#sk2' @ '#sk3') @ '#sk1') @ X2)) 0.56/0.92 | ~ (mrel @ mactual @ '#sk3'))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl118])). 0.56/0.92 thf(zip_derived_cl25, plain, ( (mrel @ mactual @ '#sk3')), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 0.56/0.92 thf(zip_derived_cl125, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i]: 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk5' @ X1 @ X0)) 0.56/0.92 | (in @ ('#sk2' @ '#sk3') @ '#sk1' @ 0.56/0.92 ('#sk6' @ X1 @ X0 @ 0.56/0.92 ('#sk7' @ '#sk3' @ X2 @ ('#sk2' @ '#sk3') @ '#sk1') @ X2) @ 0.56/0.92 ('#sk4' @ X1 @ X0 @ 0.56/0.92 ('#sk7' @ '#sk3' @ X2 @ ('#sk2' @ '#sk3') @ '#sk1') @ X2)))), 0.56/0.92 inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl25])). 0.56/0.92 thf(zip_derived_cl192, plain, 0.56/0.92 (( (mrel @ '#sk3' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')))), 0.56/0.92 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl125])). 0.56/0.92 thf(zip_derived_cl196, plain, 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1'))), 0.56/0.92 inference('simplify', [status(thm)], [zip_derived_cl192])). 0.56/0.92 thf(zip_derived_cl23, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld]: 0.56/0.92 ( (userid @ u @ ('#sk2' @ X2) @ X4) 0.56/0.92 | ~ (mrel @ mactual @ X2) 0.56/0.92 | ~ (mrel @ X2 @ X4))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 0.56/0.92 thf(zip_derived_cl15, plain, 0.56/0.92 (![X2 : mworld]: 0.56/0.92 ( (number @ '#sk1' @ one @ X2) | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl14])). 0.56/0.92 thf(zip_derived_cl38, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (((number @ X4 @ one @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (entry_box @ X4 @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (userid @ u @ X2 @ ('#sk5' @ X2 @ X4)))) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])). 0.56/0.92 thf(zip_derived_cl41, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (number @ X4 @ one @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | ~ (entry_box @ X4 @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | ~ (userid @ u @ X2 @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl38])). 0.56/0.92 thf(zip_derived_cl86, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i]: 0.56/0.92 (~ (mrel @ mactual @ ('#sk5' @ X0 @ '#sk1')) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk4' @ X0 @ '#sk1' @ X2 @ X1)) 0.56/0.92 | ~ (userid @ u @ X0 @ ('#sk5' @ X0 @ '#sk1')) 0.56/0.92 | ~ (entry_box @ '#sk1' @ ('#sk5' @ X0 @ '#sk1')))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl41])). 0.56/0.92 thf(zip_derived_cl16, plain, 0.56/0.92 (![X2 : mworld]: ( (entry_box @ '#sk1' @ X2) | ~ (mrel @ mactual @ X2))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl14])). 0.56/0.92 thf(zip_derived_cl88, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i]: 0.56/0.92 (~ (userid @ u @ X0 @ ('#sk5' @ X0 @ '#sk1')) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk4' @ X0 @ '#sk1' @ X2 @ X1)) 0.56/0.92 | ~ (mrel @ mactual @ ('#sk5' @ X0 @ '#sk1')))), 0.56/0.92 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl16])). 0.56/0.92 thf(zip_derived_cl89, plain, 0.56/0.92 (![X0 : mworld, X1 : $i, X2 : $i]: 0.56/0.92 (~ (mrel @ X0 @ ('#sk5' @ ('#sk2' @ X0) @ '#sk1')) 0.56/0.92 | ~ (mrel @ mactual @ X0) 0.56/0.92 | ~ (mrel @ mactual @ ('#sk5' @ ('#sk2' @ X0) @ '#sk1')) 0.56/0.92 | (mrel @ '#sk3' @ ('#sk4' @ ('#sk2' @ X0) @ '#sk1' @ X2 @ X1)))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl88])). 0.56/0.92 thf(mrel_transitive, axiom, 0.56/0.92 (![W:mworld,V:mworld,U:mworld]: 0.56/0.92 ( ( ( mrel @ V @ U ) & ( mrel @ W @ V ) ) => ( mrel @ W @ U ) ))). 0.56/0.92 thf(zip_derived_cl1, plain, 0.56/0.92 ( (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((!!) @ (^[Y1 : mworld]: 0.56/0.92 (((!!) @ (^[Y2 : mworld]: 0.56/0.92 (((((mrel @ Y1 @ Y2) & (mrel @ 0.56/0.92 Y0 @ Y1))) => 0.56/0.92 (mrel @ Y0 @ Y2))))))))))))), 0.56/0.92 inference('cnf', [status(esa)], [mrel_transitive])). 0.56/0.92 thf(zip_derived_cl7, plain, 0.56/0.92 (![X2 : mworld]: 0.56/0.92 (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((!!) @ (^[Y1 : mworld]: 0.56/0.92 (((((mrel @ Y0 @ Y1) & (mrel @ X2 @ Y0))) => 0.56/0.92 (mrel @ X2 @ Y1)))))))))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 0.56/0.92 thf(zip_derived_cl8, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld]: 0.56/0.92 (((!!) @ (^[Y0 : mworld]: 0.56/0.92 (((((mrel @ X4 @ Y0) & (mrel @ X2 @ X4))) => (mrel @ 0.56/0.92 X2 @ Y0))))))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 0.56/0.92 thf(zip_derived_cl9, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld, X6 : mworld]: 0.56/0.92 (((((mrel @ X4 @ X6) & (mrel @ X2 @ X4))) => (mrel @ X2 @ X6)))), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 0.56/0.92 thf(zip_derived_cl10, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld, X6 : mworld]: 0.56/0.92 (~ (((mrel @ X4 @ X6) & (mrel @ X2 @ X4))) | (mrel @ X2 @ X6))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 0.56/0.92 thf(zip_derived_cl11, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld, X6 : mworld]: 0.56/0.92 (~ (mrel @ X4 @ X6) | ~ (mrel @ X2 @ X4) | (mrel @ X2 @ X6))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 0.56/0.92 thf(zip_derived_cl91, plain, 0.56/0.92 (![X0 : mworld, X1 : $i, X2 : $i]: 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk4' @ ('#sk2' @ X0) @ '#sk1' @ X2 @ X1)) 0.56/0.92 | ~ (mrel @ mactual @ X0) 0.56/0.92 | ~ (mrel @ X0 @ ('#sk5' @ ('#sk2' @ X0) @ '#sk1')))), 0.56/0.92 inference('clc', [status(thm)], [zip_derived_cl89, zip_derived_cl11])). 0.56/0.92 thf(zip_derived_cl200, plain, 0.56/0.92 (![X0 : $i, X1 : $i]: 0.56/0.92 (~ (mrel @ mactual @ '#sk3') 0.56/0.92 | (mrel @ '#sk3' @ ('#sk4' @ ('#sk2' @ '#sk3') @ '#sk1' @ X1 @ X0)))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl91])). 0.56/0.92 thf(zip_derived_cl25, plain, ( (mrel @ mactual @ '#sk3')), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 0.56/0.92 thf(zip_derived_cl204, plain, 0.56/0.92 (![X0 : $i, X1 : $i]: 0.56/0.92 (mrel @ '#sk3' @ ('#sk4' @ ('#sk2' @ '#sk3') @ '#sk1' @ X1 @ X0))), 0.56/0.92 inference('demod', [status(thm)], [zip_derived_cl200, zip_derived_cl25])). 0.56/0.92 thf(zip_derived_cl45, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (((number @ X4 @ one @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (entry_box @ X4 @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (userid @ u @ X2 @ ('#sk5' @ X2 @ X4)))) 0.56/0.92 | (do @ X8 @ X6 @ ('#sk6' @ X2 @ X4 @ X6 @ X8) @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl42])). 0.56/0.92 thf(zip_derived_cl48, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (number @ X4 @ one @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | ~ (entry_box @ X4 @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | ~ (userid @ u @ X2 @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | (do @ X8 @ X6 @ ('#sk6' @ X2 @ X4 @ X6 @ X8) @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl45])). 0.56/0.92 thf(zip_derived_cl61, plain, 0.56/0.92 (![X2 : mworld, X4 : $i, X6 : $i, X8 : $i, X10 : mworld, X12 : $i]: 0.56/0.92 (~ (do @ X4 @ ('#sk7' @ X2 @ X4 @ X6 @ X8) @ X12 @ X10) 0.56/0.92 | (in @ X6 @ X8 @ X12 @ X10) 0.56/0.92 | ~ (mrel @ X2 @ X10) 0.56/0.92 | ~ (mrel @ mactual @ X2) 0.56/0.92 | ~ (string @ X6 @ X2) 0.56/0.92 | ~ (entry_box @ X8 @ X2))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl60])). 0.56/0.92 thf(zip_derived_cl98, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : mworld, X4 : $i, X5 : $i]: 0.56/0.92 (~ (userid @ u @ X5 @ ('#sk5' @ X5 @ X4)) 0.56/0.92 | ~ (entry_box @ X4 @ ('#sk5' @ X5 @ X4)) 0.56/0.92 | ~ (number @ X4 @ one @ ('#sk5' @ X5 @ X4)) 0.56/0.92 | ~ (entry_box @ X1 @ X3) 0.56/0.92 | ~ (string @ X2 @ X3) 0.56/0.92 | ~ (mrel @ mactual @ X3) 0.56/0.92 | ~ (mrel @ X3 @ 0.56/0.92 ('#sk4' @ X5 @ X4 @ ('#sk7' @ X3 @ X0 @ X2 @ X1) @ X0)) 0.56/0.92 | (in @ X2 @ X1 @ 0.56/0.92 ('#sk6' @ X5 @ X4 @ ('#sk7' @ X3 @ X0 @ X2 @ X1) @ X0) @ 0.56/0.92 ('#sk4' @ X5 @ X4 @ ('#sk7' @ X3 @ X0 @ X2 @ X1) @ X0)))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl61])). 0.56/0.92 thf(zip_derived_cl47, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (((number @ X4 @ one @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (entry_box @ X4 @ ('#sk5' @ X2 @ X4)) & 0.56/0.92 (userid @ u @ X2 @ ('#sk5' @ X2 @ X4)))) 0.56/0.92 | ~ (in @ X2 @ X4 @ ('#sk6' @ X2 @ X4 @ X6 @ X8) @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl43])). 0.56/0.92 thf(zip_derived_cl49, plain, 0.56/0.92 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 0.56/0.92 (~ (number @ X4 @ one @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | ~ (entry_box @ X4 @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | ~ (userid @ u @ X2 @ ('#sk5' @ X2 @ X4)) 0.56/0.92 | ~ (in @ X2 @ X4 @ ('#sk6' @ X2 @ X4 @ X6 @ X8) @ 0.56/0.92 ('#sk4' @ X2 @ X4 @ X6 @ X8)))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl47])). 0.56/0.92 thf(zip_derived_cl222, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : mworld]: 0.56/0.92 (~ (mrel @ X3 @ ('#sk4' @ X2 @ X1 @ ('#sk7' @ X3 @ X0 @ X2 @ X1) @ X0)) 0.56/0.92 | ~ (mrel @ mactual @ X3) 0.56/0.92 | ~ (string @ X2 @ X3) 0.56/0.92 | ~ (entry_box @ X1 @ X3) 0.56/0.92 | ~ (number @ X1 @ one @ ('#sk5' @ X2 @ X1)) 0.56/0.92 | ~ (entry_box @ X1 @ ('#sk5' @ X2 @ X1)) 0.56/0.92 | ~ (userid @ u @ X2 @ ('#sk5' @ X2 @ X1)) 0.56/0.92 | ~ (userid @ u @ X2 @ ('#sk5' @ X2 @ X1)) 0.56/0.92 | ~ (entry_box @ X1 @ ('#sk5' @ X2 @ X1)) 0.56/0.92 | ~ (number @ X1 @ one @ ('#sk5' @ X2 @ X1)))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl49])). 0.56/0.92 thf(zip_derived_cl228, plain, 0.56/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : mworld]: 0.56/0.92 (~ (userid @ u @ X2 @ ('#sk5' @ X2 @ X1)) 0.56/0.92 | ~ (entry_box @ X1 @ ('#sk5' @ X2 @ X1)) 0.56/0.92 | ~ (number @ X1 @ one @ ('#sk5' @ X2 @ X1)) 0.56/0.92 | ~ (entry_box @ X1 @ X3) 0.56/0.92 | ~ (string @ X2 @ X3) 0.56/0.92 | ~ (mrel @ mactual @ X3) 0.56/0.92 | ~ (mrel @ X3 @ 0.56/0.92 ('#sk4' @ X2 @ X1 @ ('#sk7' @ X3 @ X0 @ X2 @ X1) @ X0)))), 0.56/0.92 inference('simplify', [status(thm)], [zip_derived_cl222])). 0.56/0.92 thf(zip_derived_cl236, plain, 0.56/0.92 ((~ (mrel @ mactual @ '#sk3') 0.56/0.92 | ~ (string @ ('#sk2' @ '#sk3') @ '#sk3') 0.56/0.92 | ~ (entry_box @ '#sk1' @ '#sk3') 0.56/0.92 | ~ (number @ '#sk1' @ one @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (entry_box @ '#sk1' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (userid @ u @ ('#sk2' @ '#sk3') @ 0.56/0.92 ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl228])). 0.56/0.92 thf(zip_derived_cl25, plain, ( (mrel @ mactual @ '#sk3')), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 0.56/0.92 thf(zip_derived_cl248, plain, 0.56/0.92 ((~ (string @ ('#sk2' @ '#sk3') @ '#sk3') 0.56/0.92 | ~ (entry_box @ '#sk1' @ '#sk3') 0.56/0.92 | ~ (number @ '#sk1' @ one @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (entry_box @ '#sk1' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (userid @ u @ ('#sk2' @ '#sk3') @ 0.56/0.92 ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')))), 0.56/0.92 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl25])). 0.56/0.92 thf(zip_derived_cl256, plain, 0.56/0.92 ((~ (mrel @ mactual @ '#sk3') 0.56/0.92 | ~ (userid @ u @ ('#sk2' @ '#sk3') @ 0.56/0.92 ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (entry_box @ '#sk1' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (number @ '#sk1' @ one @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (string @ ('#sk2' @ '#sk3') @ '#sk3'))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl248])). 0.56/0.92 thf(zip_derived_cl25, plain, ( (mrel @ mactual @ '#sk3')), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 0.56/0.92 thf(zip_derived_cl258, plain, 0.56/0.92 ((~ (userid @ u @ ('#sk2' @ '#sk3') @ 0.56/0.92 ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (entry_box @ '#sk1' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (number @ '#sk1' @ one @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (string @ ('#sk2' @ '#sk3') @ '#sk3'))), 0.56/0.92 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl25])). 0.56/0.92 thf(zip_derived_cl260, plain, 0.56/0.92 ((~ (mrel @ '#sk3' @ '#sk3') 0.56/0.92 | ~ (mrel @ mactual @ '#sk3') 0.56/0.92 | ~ (number @ '#sk1' @ one @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (entry_box @ '#sk1' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (userid @ u @ ('#sk2' @ '#sk3') @ 0.56/0.92 ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl258])). 0.56/0.92 thf(zip_derived_cl6, plain, (![X2 : mworld]: (mrel @ X2 @ X2)), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 0.56/0.92 thf(zip_derived_cl25, plain, ( (mrel @ mactual @ '#sk3')), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 0.56/0.92 thf(zip_derived_cl262, plain, 0.56/0.92 ((~ (number @ '#sk1' @ one @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (entry_box @ '#sk1' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (userid @ u @ ('#sk2' @ '#sk3') @ 0.56/0.92 ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')))), 0.56/0.92 inference('demod', [status(thm)], 0.56/0.92 [zip_derived_cl260, zip_derived_cl6, zip_derived_cl25])). 0.56/0.92 thf(zip_derived_cl264, plain, 0.56/0.92 ((~ (mrel @ mactual @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (userid @ u @ ('#sk2' @ '#sk3') @ 0.56/0.92 ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (number @ '#sk1' @ one @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl262])). 0.56/0.92 thf(zip_derived_cl25, plain, ( (mrel @ mactual @ '#sk3')), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 0.56/0.92 thf(zip_derived_cl196, plain, 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1'))), 0.56/0.92 inference('simplify', [status(thm)], [zip_derived_cl192])). 0.56/0.92 thf(zip_derived_cl11, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld, X6 : mworld]: 0.56/0.92 (~ (mrel @ X4 @ X6) | ~ (mrel @ X2 @ X4) | (mrel @ X2 @ X6))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 0.56/0.92 thf(zip_derived_cl201, plain, 0.56/0.92 (![X0 : mworld]: 0.56/0.92 ( (mrel @ X0 @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (mrel @ X0 @ '#sk3'))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl11])). 0.56/0.92 thf(zip_derived_cl11, plain, 0.56/0.92 (![X2 : mworld, X4 : mworld, X6 : mworld]: 0.56/0.92 (~ (mrel @ X4 @ X6) | ~ (mrel @ X2 @ X4) | (mrel @ X2 @ X6))), 0.56/0.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 0.56/0.92 thf(zip_derived_cl207, plain, 0.56/0.92 (![X0 : mworld, X1 : mworld]: 0.56/0.92 (~ (mrel @ X0 @ '#sk3') 0.56/0.92 | (mrel @ X1 @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (mrel @ X1 @ X0))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl11])). 0.56/0.92 thf(zip_derived_cl212, plain, 0.56/0.92 (![X0 : mworld]: 0.56/0.92 (~ (mrel @ X0 @ mactual) 0.56/0.92 | (mrel @ X0 @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl207])). 0.56/0.92 thf(zip_derived_cl6, plain, (![X2 : mworld]: (mrel @ X2 @ X2)), 0.56/0.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 0.56/0.92 thf(zip_derived_cl216, plain, 0.56/0.92 ( (mrel @ mactual @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1'))), 0.56/0.92 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl6])). 0.56/0.92 thf(zip_derived_cl266, plain, 0.56/0.92 ((~ (userid @ u @ ('#sk2' @ '#sk3') @ 0.56/0.92 ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (number @ '#sk1' @ one @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')))), 0.56/0.92 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl216])). 0.56/0.92 thf(zip_derived_cl268, plain, 0.56/0.92 ((~ (mrel @ mactual @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (userid @ u @ ('#sk2' @ '#sk3') @ 0.56/0.92 ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl266])). 0.56/0.92 thf(zip_derived_cl216, plain, 0.56/0.92 ( (mrel @ mactual @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1'))), 0.56/0.92 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl6])). 0.56/0.92 thf(zip_derived_cl270, plain, 0.56/0.92 (~ (userid @ u @ ('#sk2' @ '#sk3') @ 0.56/0.92 ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1'))), 0.56/0.92 inference('demod', [status(thm)], [zip_derived_cl268, zip_derived_cl216])). 0.56/0.92 thf(zip_derived_cl272, plain, 0.56/0.92 ((~ (mrel @ '#sk3' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1')) 0.56/0.92 | ~ (mrel @ mactual @ '#sk3'))), 0.56/0.92 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl270])). 0.56/0.92 thf(zip_derived_cl196, plain, 0.56/0.92 ( (mrel @ '#sk3' @ ('#sk5' @ ('#sk2' @ '#sk3') @ '#sk1'))), 0.56/0.92 inference('simplify', [status(thm)], [zip_derived_cl192])). 0.56/0.92 thf(zip_derived_cl25, plain, ( (mrel @ mactual @ '#sk3')), 0.56/0.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 0.56/0.92 thf(zip_derived_cl274, plain, ($false), 0.56/0.92 inference('demod', [status(thm)], 0.56/0.92 [zip_derived_cl272, zip_derived_cl196, zip_derived_cl25])). 0.56/0.92 0.56/0.92 % SZS output end Refutation 0.56/0.92 0.56/0.92 0.56/0.92 % Terminating... 0.57/0.97 % Runner terminated. 0.57/0.98 % Zipperpin 1.5 exiting 0.57/0.98 EOF