%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL717^1 : TPTP v9.3.1. Bugfixed v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TSSaSuohH4 true
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:37:06 PM UTC 2026
% Result : Theorem 84.12s 11.95s
% Output : Refutation 84.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL717^1 : TPTP v9.3.1. Bugfixed v5.1.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TSSaSuohH4 true
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 21:46:01 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Running portfolio for 300 s
% 0.11/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Number of cores: 8
% 0.11/0.38 % Python version: Python 3.12.3
% 0.11/0.38 % Running in HO mode
% 0.46/0.67 % Total configuration time : 828
% 0.46/0.67 % Estimated wc time : 1656
% 0.46/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.88 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.89 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 10.23/2.12 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 84.12/11.95 % Solved by lams/40_b.comb.sh.
% 84.12/11.95 % done 39 iterations in 11.069s
% 84.12/11.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 84.12/11.95 % SZS output start Refutation
% 84.12/11.95 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 84.12/11.95 thf('#sk1_type', type, '#sk1': $i > $i > $o).
% 84.12/11.95 thf('#sk2_type', type, '#sk2': $i).
% 84.12/11.95 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 84.12/11.95 thf('#sk3_type', type, '#sk3': $i).
% 84.12/11.95 thf(mweakly_connected_type, type, mweakly_connected: ($i > $i > $o) > $o).
% 84.12/11.95 thf('#sk4_type', type, '#sk4': $i).
% 84.12/11.95 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 84.12/11.95 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 84.12/11.95 thf('#sk5_type', type, '#sk5': ($i > $o) > $i > $i).
% 84.12/11.95 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 84.12/11.95 thf(mforall_prop_type, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 84.12/11.95 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 84.12/11.95 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 84.12/11.95 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 84.12/11.95 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 84.12/11.95 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 84.12/11.95 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 84.12/11.95 thf(conj, conjecture,
% 84.12/11.95 (![R:( $i > $i > $o )]:
% 84.12/11.95 ( ( mvalid @
% 84.12/11.95 ( mforall_prop @
% 84.12/11.95 ( ^[A:( $i > $o )]:
% 84.12/11.95 ( mforall_prop @
% 84.12/11.95 ( ^[B:( $i > $o )]:
% 84.12/11.95 ( mor @
% 84.12/11.95 ( mbox @
% 84.12/11.95 R @ ( mimplies @ ( mand @ A @ ( mbox @ R @ A ) ) @ B ) ) @
% 84.12/11.95 ( mbox @
% 84.12/11.95 R @ ( mimplies @ ( mand @ B @ ( mbox @ R @ B ) ) @ A ) ) ) ) ) ) ) ) =>
% 84.12/11.95 ( mweakly_connected @ R ) ))).
% 84.12/11.95 thf(zf_stmt_0, negated_conjecture,
% 84.12/11.95 (~( ![R:( $i > $i > $o )]:
% 84.12/11.95 ( ( mvalid @
% 84.12/11.95 ( mforall_prop @
% 84.12/11.95 ( ^[A:( $i > $o )]:
% 84.12/11.95 ( mforall_prop @
% 84.12/11.95 ( ^[B:( $i > $o )]:
% 84.12/11.95 ( mor @
% 84.12/11.95 ( mbox @
% 84.12/11.95 R @ ( mimplies @ ( mand @ A @ ( mbox @ R @ A ) ) @ B ) ) @
% 84.12/11.95 ( mbox @
% 84.12/11.95 R @ ( mimplies @ ( mand @ B @ ( mbox @ R @ B ) ) @ A ) ) ) ) ) ) ) ) =>
% 84.12/11.95 ( mweakly_connected @ R ) ) )),
% 84.12/11.95 inference('cnf.neg', [status(esa)], [conj])).
% 84.12/11.95 thf(zip_derived_cl0, plain,
% 84.12/11.95 (~ (((!!) @ (^[Y0 : $i > $i > $o]:
% 84.12/11.95 (((mvalid @
% 84.12/11.95 (mforall_prop @
% 84.12/11.95 (^[Y1 : $i > $o]:
% 84.12/11.95 (mforall_prop @
% 84.12/11.95 (^[Y2 : $i > $o]:
% 84.12/11.95 (mor @
% 84.12/11.95 (mbox @ Y0 @
% 84.12/11.95 (mimplies @ (mand @ Y1 @ (mbox @ Y0 @ Y1)) @
% 84.12/11.95 Y2)) @
% 84.12/11.95 (mbox @ Y0 @
% 84.12/11.95 (mimplies @ (mand @ Y2 @ (mbox @ Y0 @ Y2)) @
% 84.12/11.95 Y1)))))))) =>
% 84.12/11.95 (mweakly_connected @ Y0))))))),
% 84.12/11.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 84.12/11.95 thf(zip_derived_cl1, plain,
% 84.12/11.95 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 84.12/11.95 ((('#B') @ mvalid @
% 84.12/11.95 ((('#B') @ mforall_prop @
% 84.12/11.95 ((('#B') @ ((('#B') @ mforall_prop)) @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ ('#S'))) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (
% 84.12/11.95 (('#B') @ mor)))) @
% 84.12/11.95 ((('#S') @ ((('#B') @ (
% 84.12/11.95 '#B') @
% 84.12/11.95 ((('#B') @ (
% 84.12/11.95 '#B') @
% 84.12/11.95 mbox)))) @
% 84.12/11.95 ((('#B') @ ((('#B') @ mimplies)) @
% 84.12/11.95 ((('#B') @ ((
% 84.12/11.95 ('#S') @ mand)) @
% 84.12/11.95 mbox)))))))))))) @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#B') @
% 84.12/11.95 ((('#B') @ ('#B') @ mbox)))) @
% 84.12/11.95 ((('#B') @ ('#C') @
% 84.12/11.95 ((('#B') @ ((('#B') @ mimplies)) @
% 84.12/11.95 ((('#B') @ ((('#S') @ mand)) @
% 84.12/11.95 mbox)))))))))))))))))) @
% 84.12/11.95 mweakly_connected))))),
% 84.12/11.95 inference('lams2combs', [status(thm)], [zip_derived_cl0])).
% 84.12/11.95 thf(zip_derived_cl2, plain,
% 84.12/11.95 (~ (((mvalid @
% 84.12/11.95 (mforall_prop @
% 84.12/11.95 ((('#B') @ mforall_prop @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ mor)) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))))))))) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#C') @ ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))))))))))))) =>
% 84.12/11.95 (mweakly_connected @ '#sk1')))),
% 84.12/11.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])).
% 84.12/11.95 thf(zip_derived_cl4, plain, (~ (mweakly_connected @ '#sk1')),
% 84.12/11.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])).
% 84.12/11.95 thf(mweakly_connected, axiom, ~ (mweakly_connected @ X0) =>
% 84.12/11.95 ((((!!) @ (^[Y0 : $i]:
% 84.12/11.95 (((!!) @ (^[Y1 : $i]:
% 84.12/11.95 (((!!) @ (^[Y2 : $i]:
% 84.12/11.95 (((((X0 @ Y0 @ Y2) & (X0 @ Y0 @ Y1))) =>
% 84.12/11.95 (((X0 @ Y2 @ Y1) |
% 84.12/11.95 (((Y1) = (Y2))) | (X0 @ Y1 @ Y2))))))))))))))
% 84.12/11.95 != ($true))).
% 84.12/11.95 thf('0', plain,
% 84.12/11.95 (![X0:( $i > $i > $o )]:
% 84.12/11.95 ( ( ~( mweakly_connected @ X0 ) ) <=>
% 84.12/11.95 ( ~( ![X5:$i,X7:$i,X9:$i]:
% 84.12/11.95 ( ( ( X0 @ X5 @ X9 ) & ( X0 @ X5 @ X7 ) ) =>
% 84.12/11.95 ( ( X0 @ X9 @ X7 ) | ( ( X7 ) = ( X9 ) ) | ( X0 @ X7 @ X9 ) ) ) ) ) )),
% 84.12/11.95 inference('rw.lit', [status(esa)], [mweakly_connected])).
% 84.12/11.95 thf(zip_derived_cl6, plain,
% 84.12/11.95 (~ (((!!) @ (^[Y0 : $i]:
% 84.12/11.95 (((!!) @ (^[Y1 : $i]:
% 84.12/11.95 (((!!) @ (^[Y2 : $i]:
% 84.12/11.95 ((((('#sk1' @ Y0 @ Y2) &
% 84.12/11.95 ('#sk1' @ Y0 @ Y1))) =>
% 84.12/11.95 ((('#sk1' @ Y2 @ Y1) |
% 84.12/11.95 (((Y1) = (Y2))) |
% 84.12/11.95 ('#sk1' @ Y1 @ Y2))))))))))))))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl4, '0'])).
% 84.12/11.95 thf(zip_derived_cl9, plain,
% 84.12/11.95 (~ (((!!) @ ((('#B') @ (!!) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (!!))) @
% 84.12/11.95 ((('#C') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ ('#S'))) @
% 84.12/11.95 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#B') @
% 84.12/11.95 ((('#B') @ ('#C') @
% 84.12/11.95 ((('#B') @ ((('#B') @ (&))) @
% 84.12/11.95 '#sk1')))))) @
% 84.12/11.95 '#sk1')))))))) @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ (|))) @
% 84.12/11.95 ((('#C') @ '#sk1')))))) @
% 84.12/11.95 (=))))) @
% 84.12/11.95 '#sk1'))))))))))),
% 84.12/11.95 inference('comb-normalize', [status(thm)], [zip_derived_cl6])).
% 84.12/11.95 thf(zip_derived_cl10, plain,
% 84.12/11.95 (~ (((!!) @ ((('#B') @ (!!) @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ (=>))) @
% 84.12/11.95 ((('#B') @ ((('#C') @ ((('#B') @ (&) @
% 84.12/11.95 ('#sk1' @ '#sk2'))))) @
% 84.12/11.95 ('#sk1' @ '#sk2'))))))) @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ (|))) @
% 84.12/11.95 ((('#C') @ '#sk1')))))) @
% 84.12/11.95 (=))))) @
% 84.12/11.95 '#sk1'))))))))),
% 84.12/11.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 84.12/11.95 thf(zip_derived_cl12, plain,
% 84.12/11.95 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 84.12/11.95 ((('#C') @ ((('#B') @ (&) @ ('#sk1' @ '#sk2'))) @
% 84.12/11.95 ('#sk1' @ '#sk2' @ '#sk3'))))) @
% 84.12/11.95 ((('#S') @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#C') @ '#sk1' @ '#sk3')))) @
% 84.12/11.95 ((($i) = ('#sk3'))))) @
% 84.12/11.95 ('#sk1' @ '#sk3')))))))),
% 84.12/11.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl10])).
% 84.12/11.95 thf(zip_derived_cl15, plain,
% 84.12/11.95 (~ ((((('#sk1' @ '#sk2' @ '#sk4') & ('#sk1' @ '#sk2' @ '#sk3'))) =>
% 84.12/11.95 ((('#sk1' @ '#sk4' @ '#sk3') | ((('#sk3') = ('#sk4'))) |
% 84.12/11.95 ('#sk1' @ '#sk3' @ '#sk4')))))),
% 84.12/11.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])).
% 84.12/11.95 thf(zip_derived_cl18, plain,
% 84.12/11.95 (~ ((('#sk1' @ '#sk4' @ '#sk3') | ((('#sk3') = ('#sk4'))) |
% 84.12/11.95 ('#sk1' @ '#sk3' @ '#sk4')))),
% 84.12/11.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])).
% 84.12/11.95 thf(zip_derived_cl23, plain, (~ ('#sk1' @ '#sk4' @ '#sk3')),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl18])).
% 84.12/11.95 thf(zip_derived_cl25, plain, (~ ('#sk1' @ '#sk3' @ '#sk4')),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl18])).
% 84.12/11.95 thf(zip_derived_cl24, plain, (~ ((('#sk3') = ('#sk4')))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl18])).
% 84.12/11.95 thf(zip_derived_cl27, plain, ((('#sk3') != ('#sk4'))),
% 84.12/11.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl24])).
% 84.12/11.95 thf(zip_derived_cl17, plain,
% 84.12/11.95 ( ((('#sk1' @ '#sk2' @ '#sk4') & ('#sk1' @ '#sk2' @ '#sk3')))),
% 84.12/11.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])).
% 84.12/11.95 thf(zip_derived_cl22, plain, ( ('#sk1' @ '#sk2' @ '#sk3')),
% 84.12/11.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])).
% 84.12/11.95 thf(zip_derived_cl3, plain,
% 84.12/11.95 ( (mvalid @
% 84.12/11.95 (mforall_prop @
% 84.12/11.95 ((('#B') @ mforall_prop @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ mor)) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))))))))) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#C') @ ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1')))))))))))))))),
% 84.12/11.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])).
% 84.12/11.95 thf(mvalid, axiom, (mvalid @ X0) =>
% 84.12/11.95 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
% 84.12/11.95 thf('1', plain,
% 84.12/11.95 (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
% 84.12/11.95 inference('rw.lit', [status(esa)], [mvalid])).
% 84.12/11.95 thf(zip_derived_cl5, plain,
% 84.12/11.95 ( (((!!) @ (^[Y0 : $i]:
% 84.12/11.95 (mforall_prop @
% 84.12/11.95 ((('#B') @ mforall_prop @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ mor)) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))))))))) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#C') @ ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))))))))))) @
% 84.12/11.95 Y0))))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl3, '1'])).
% 84.12/11.95 thf(zip_derived_cl7, plain,
% 84.12/11.95 ( (((!!) @ (mforall_prop @
% 84.12/11.95 ((('#B') @ mforall_prop @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ mor)) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))))))))) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#C') @ ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))))))))))))))),
% 84.12/11.95 inference('comb-normalize', [status(thm)], [zip_derived_cl5])).
% 84.12/11.95 thf(zip_derived_cl8, plain,
% 84.12/11.95 (![X2 : $i]:
% 84.12/11.95 (mforall_prop @
% 84.12/11.95 ((('#B') @ mforall_prop @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ mor)) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))))))))) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#C') @ ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))))))))))) @
% 84.12/11.95 X2)),
% 84.12/11.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])).
% 84.12/11.95 thf(mforall_prop, axiom, (mforall_prop @ X0 @ X1) =>
% 84.12/11.95 ((((!!) @ (^[Y0 : $i > $o]: (X0 @ Y0 @ X1)))) = ($true))).
% 84.12/11.95 thf('2', plain,
% 84.12/11.95 (![X0:( ( $i > $o ) > $i > $o ),X1:$i]:
% 84.12/11.95 ( ( mforall_prop @ X0 @ X1 ) <=> ( ![X6:( $i > $o )]: ( X0 @ X6 @ X1 ) ) )),
% 84.12/11.95 inference('rw.lit', [status(esa)], [mforall_prop])).
% 84.12/11.95 thf(zip_derived_cl11, plain,
% 84.12/11.95 (![X0 : $i]:
% 84.12/11.95 (((!!) @ (^[Y0 : $i > $o]:
% 84.12/11.95 ((('#B') @ mforall_prop @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ mor)) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))))))))) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#C') @ ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))))))))) @
% 84.12/11.95 Y0 @ X0)))))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl8, '2'])).
% 84.12/11.95 thf(zip_derived_cl13, plain,
% 84.12/11.95 (![X0 : $i]:
% 84.12/11.95 (((!!) @ ((('#C') @ ((('#B') @ mforall_prop @
% 84.12/11.95 ((('#S') @ ((('#B') @ ('#S') @
% 84.12/11.95 ((('#B') @ ((('#B') @ mor)) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @
% 84.12/11.95 '#sk1'))) @
% 84.12/11.95 ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @
% 84.12/11.95 (mbox @ '#sk1'))))))))))) @
% 84.12/11.95 ((('#B') @ ((('#B') @ (mbox @ '#sk1'))) @
% 84.12/11.95 ((('#C') @ ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @
% 84.12/11.95 (mbox @ '#sk1'))))))))))))) @
% 84.12/11.95 X0))))),
% 84.12/11.95 inference('comb-normalize', [status(thm)], [zip_derived_cl11])).
% 84.12/11.95 thf(zip_derived_cl14, plain,
% 84.12/11.95 (![X0 : $i, X2 : $i > $o]:
% 84.12/11.95 (mforall_prop @
% 84.12/11.95 ((('#S') @ ((('#B') @ mor @
% 84.12/11.95 ((('#B') @ (mbox @ '#sk1') @
% 84.12/11.95 (mimplies @ (mand @ X2 @ (mbox @ '#sk1' @ X2))))))) @
% 84.12/11.95 ((('#B') @ (mbox @ '#sk1') @
% 84.12/11.95 ((('#C') @ ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))) @
% 84.12/11.95 X2)))))) @
% 84.12/11.95 X0)),
% 84.12/11.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])).
% 84.12/11.95 thf(zip_derived_cl16, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i]:
% 84.12/11.95 (((!!) @ (^[Y0 : $i > $o]:
% 84.12/11.95 ((('#S') @ ((('#B') @ mor @
% 84.12/11.95 ((('#B') @ (mbox @ '#sk1') @
% 84.12/11.95 (mimplies @
% 84.12/11.95 (mand @ X0 @ (mbox @ '#sk1' @ X0))))))) @
% 84.12/11.95 ((('#B') @ (mbox @ '#sk1') @
% 84.12/11.95 ((('#C') @ ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @ (mbox @ '#sk1'))))) @
% 84.12/11.95 X0)))) @
% 84.12/11.95 Y0 @ X1)))))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl14, '2'])).
% 84.12/11.95 thf(zip_derived_cl19, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i]:
% 84.12/11.95 (((!!) @ ((('#C') @ ((('#S') @ ((('#B') @ mor @
% 84.12/11.95 ((('#B') @ (mbox @ '#sk1') @
% 84.12/11.95 (mimplies @
% 84.12/11.95 (mand @ X0 @ (mbox @ '#sk1' @ X0))))))) @
% 84.12/11.95 ((('#B') @ (mbox @ '#sk1') @
% 84.12/11.95 ((('#C') @ ((('#B') @ mimplies @
% 84.12/11.95 ((('#S') @ mand @
% 84.12/11.95 (mbox @ '#sk1'))))) @
% 84.12/11.95 X0)))))) @
% 84.12/11.95 X1))))),
% 84.12/11.95 inference('comb-normalize', [status(thm)], [zip_derived_cl16])).
% 84.12/11.95 thf(zip_derived_cl20, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X3 : $i > $o]:
% 84.12/11.95 (mor @
% 84.12/11.95 (mbox @ '#sk1' @
% 84.12/11.95 (mimplies @ (mand @ X0 @ (mbox @ '#sk1' @ X0)) @ X3)) @
% 84.12/11.95 (mbox @ '#sk1' @
% 84.12/11.95 (mimplies @ (mand @ X3 @ (mbox @ '#sk1' @ X3)) @ X0)) @
% 84.12/11.95 X1)),
% 84.12/11.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])).
% 84.12/11.95 thf(mor, axiom, (mor @ X0 @ X1 @ X2) =>
% 84.12/11.95 ((((X1 @ X2) | (X0 @ X2))) = ($true))).
% 84.12/11.95 thf('3', plain,
% 84.12/11.95 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 84.12/11.95 ( ( mor @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) | ( X1 @ X2 ) ) )),
% 84.12/11.95 inference('rw.lit', [status(esa)], [mor])).
% 84.12/11.95 thf(zip_derived_cl26, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]:
% 84.12/11.95 (((mbox @ '#sk1' @
% 84.12/11.95 (mimplies @ (mand @ X0 @ (mbox @ '#sk1' @ X0)) @ X1) @ X2) |
% 84.12/11.95 (mbox @ '#sk1' @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0) @ X2)))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl20, '3'])).
% 84.12/11.95 thf(zip_derived_cl28, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]:
% 84.12/11.95 ( (mbox @ '#sk1' @
% 84.12/11.95 (mimplies @ (mand @ X0 @ (mbox @ '#sk1' @ X0)) @ X1) @ X2)
% 84.12/11.95 | (mbox @ '#sk1' @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0) @ X2))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl26])).
% 84.12/11.95 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
% 84.12/11.95 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) =
% 84.12/11.95 ($true))).
% 84.12/11.95 thf('4', plain,
% 84.12/11.95 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 84.12/11.95 ( ( mbox @ X0 @ X1 @ X2 ) <=>
% 84.12/11.95 ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )),
% 84.12/11.95 inference('rw.lit', [status(esa)], [mbox])).
% 84.12/11.95 thf(zip_derived_cl29, plain,
% 84.12/11.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]:
% 84.12/11.95 ( (((!!) @ (^[Y0 : $i]:
% 84.12/11.95 (((((~) @ ('#sk1' @ X0 @ Y0))) | (mimplies @
% 84.12/11.95 (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X2 @ Y0))))))
% 84.12/11.95 | (mbox @ '#sk1' @
% 84.12/11.95 (mimplies @ (mand @ X2 @ (mbox @ '#sk1' @ X2)) @ X1) @ X0))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl28, '4'])).
% 84.12/11.95 thf(zip_derived_cl30, plain,
% 84.12/11.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]:
% 84.12/11.95 ( (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X0))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X2)))))
% 84.12/11.95 | (mbox @ '#sk1' @
% 84.12/11.95 (mimplies @ (mand @ X2 @ (mbox @ '#sk1' @ X2)) @ X1) @ X0))),
% 84.12/11.95 inference('comb-normalize', [status(thm)], [zip_derived_cl29])).
% 84.12/11.95 thf(zip_derived_cl31, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]:
% 84.12/11.95 ( (((!!) @ (^[Y0 : $i]:
% 84.12/11.95 (((((~) @ ('#sk1' @ X2 @ Y0))) | (mimplies @
% 84.12/11.95 (mand @ X0 @ (mbox @ '#sk1' @ X0)) @ X1 @ Y0))))))
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0))))))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl30, '4'])).
% 84.12/11.95 thf(zip_derived_cl32, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]:
% 84.12/11.95 ( (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X0 @ (mbox @ '#sk1' @ X0)) @ X1)))))
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0))))))),
% 84.12/11.95 inference('comb-normalize', [status(thm)], [zip_derived_cl31])).
% 84.12/11.95 thf(zip_derived_cl33, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X4 : $i]:
% 84.12/11.95 ( (((((~) @ ('#sk1' @ X2 @ X4))) | (mimplies @
% 84.12/11.95 (mand @ X0 @ (mbox @ '#sk1' @ X0)) @ X1 @ X4)))
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0))))))),
% 84.12/11.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])).
% 84.12/11.95 thf(mimplies, axiom,(( mimplies @ (X0)@ (X1)@ (X2)) =
% 84.12/11.95 ((mor @ (mnot @ X0) @ X1 @ X2)))).
% 84.12/11.95 thf('5', plain,
% 84.12/11.95 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 84.12/11.95 ( ( mimplies @ X0 @ X1 @ X2 ) = ( mor @ ( mnot @ X0 ) @ X1 @ X2 ) )),
% 84.12/11.95 define([status(thm)])).
% 84.12/11.95 thf(zip_derived_cl34, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X4 : $i]:
% 84.12/11.95 ( (((((~) @ ('#sk1' @ X2 @ X4))) | (mor @
% 84.12/11.95 (mnot @ (mand @ X0 @ (mbox @ '#sk1' @ X0))) @ X1 @ X4)))
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0))))))),
% 84.12/11.95 inference('rw', [status(thm)], [zip_derived_cl33, '5'])).
% 84.12/11.95 thf(zip_derived_cl35, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X4 : $i]:
% 84.12/11.95 (~ ('#sk1' @ X2 @ X4)
% 84.12/11.95 | (mor @ (mnot @ (mand @ X0 @ (mbox @ '#sk1' @ X0))) @ X1 @ X4)
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0))))))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl34])).
% 84.12/11.95 thf(zip_derived_cl36, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i]:
% 84.12/11.95 ( (((X1 @ X3) | (mnot @ (mand @ X0 @ (mbox @ '#sk1' @ X0)) @ X3)))
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0)))))
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl35, '3'])).
% 84.12/11.95 thf(zip_derived_cl37, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i]:
% 84.12/11.95 ( (X1 @ X3)
% 84.12/11.95 | (mnot @ (mand @ X0 @ (mbox @ '#sk1' @ X0)) @ X3)
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0))))))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl36])).
% 84.12/11.95 thf(mnot, axiom, (mnot @ X0 @ X1) => ((X0 @ X1) != ($true))).
% 84.12/11.95 thf('6', plain,
% 84.12/11.95 (![X0:( $i > $o ),X1:$i]: ( ( mnot @ X0 @ X1 ) <=> ( ~( X0 @ X1 ) ) )),
% 84.12/11.95 inference('rw.lit', [status(esa)], [mnot])).
% 84.12/11.95 thf(zip_derived_cl38, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i]:
% 84.12/11.95 (~ (mand @ X0 @ (mbox @ '#sk1' @ X0) @ X3)
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0)))))
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | (X1 @ X3))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl37, '6'])).
% 84.12/11.95 thf(mand, axiom,(( mand @ (X0)@ (X1)@ (X2)) =
% 84.12/11.95 ((mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)) @ X2)))).
% 84.12/11.95 thf('7', plain,
% 84.12/11.95 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 84.12/11.95 ( ( mand @ X0 @ X1 @ X2 ) =
% 84.12/11.95 ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) @ X2 ) )),
% 84.12/11.95 define([status(thm)])).
% 84.12/11.95 thf(zip_derived_cl39, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i]:
% 84.12/11.95 (~ (mnot @ (mor @ (mnot @ X0) @ (mnot @ (mbox @ '#sk1' @ X0))) @ X3)
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0)))))
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | (X1 @ X3))),
% 84.12/11.95 inference('rw', [status(thm)], [zip_derived_cl38, '7'])).
% 84.12/11.95 thf(mnot, axiom, ~ (mnot @ X0 @ X1) => ((X0 @ X1) = ($true))).
% 84.12/11.95 thf('8', plain,
% 84.12/11.95 (![X0:( $i > $o ),X1:$i]: ( ( ~( mnot @ X0 @ X1 ) ) <=> ( X0 @ X1 ) )),
% 84.12/11.95 inference('rw.lit', [status(esa)], [mnot])).
% 84.12/11.95 thf(zip_derived_cl40, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i, X3 : $i > $o]:
% 84.12/11.95 ( (mor @ (mnot @ X3) @ (mnot @ (mbox @ '#sk1' @ X3)) @ X1)
% 84.12/11.95 | (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X1)
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X0 @ (mbox @ '#sk1' @ X0)) @ X3))))))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl39, '8'])).
% 84.12/11.95 thf(zip_derived_cl41, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i]:
% 84.12/11.95 ( (((mnot @ (mbox @ '#sk1' @ X0) @ X3) | (mnot @ X0 @ X3)))
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0)))))
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | (X1 @ X3))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl40, '3'])).
% 84.12/11.95 thf(zip_derived_cl42, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i]:
% 84.12/11.95 ( (mnot @ (mbox @ '#sk1' @ X0) @ X3)
% 84.12/11.95 | (mnot @ X0 @ X3)
% 84.12/11.95 | (X1 @ X3)
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0))))))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl41])).
% 84.12/11.95 thf(zip_derived_cl43, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i]:
% 84.12/11.95 (~ (mbox @ '#sk1' @ X0 @ X3)
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0)))))
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | (X1 @ X3)
% 84.12/11.95 | (mnot @ X0 @ X3))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl42, '6'])).
% 84.12/11.95 thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
% 84.12/11.95 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) !=
% 84.12/11.95 ($true))).
% 84.12/11.95 thf('9', plain,
% 84.12/11.95 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 84.12/11.95 ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
% 84.12/11.95 ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )),
% 84.12/11.95 inference('rw.lit', [status(esa)], [mbox])).
% 84.12/11.95 thf(zip_derived_cl44, plain,
% 84.12/11.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o, X3 : $i]:
% 84.12/11.95 (~ (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk1' @ X0 @ Y0))) | (X1 @ Y0))))))
% 84.12/11.95 | (mnot @ X1 @ X0)
% 84.12/11.95 | (X2 @ X0)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X0)
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X3))))) @
% 84.12/11.95 (mimplies @ (mand @ X2 @ (mbox @ '#sk1' @ X2)) @ X1))))))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl43, '9'])).
% 84.12/11.95 thf(zip_derived_cl45, plain,
% 84.12/11.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o, X3 : $i]:
% 84.12/11.95 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X0))))) @
% 84.12/11.95 X1))))
% 84.12/11.95 | (mnot @ X1 @ X0)
% 84.12/11.95 | (X2 @ X0)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X0)
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X3))))) @
% 84.12/11.95 (mimplies @ (mand @ X2 @ (mbox @ '#sk1' @ X2)) @ X1))))))),
% 84.12/11.95 inference('comb-normalize', [status(thm)], [zip_derived_cl44])).
% 84.12/11.95 thf(zip_derived_cl46, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i]:
% 84.12/11.95 (~ (X0 @ X3)
% 84.12/11.95 | (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X2))))) @
% 84.12/11.95 (mimplies @ (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0)))))
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | (X1 @ X3)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X3))))) @
% 84.12/11.95 X0)))))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl45, '6'])).
% 84.12/11.95 thf(zip_derived_cl47, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i, X5 : $i]:
% 84.12/11.95 ( (((((~) @ ('#sk1' @ X2 @ X5))) | (mimplies @
% 84.12/11.95 (mand @ X1 @ (mbox @ '#sk1' @ X1)) @ X0 @ X5)))
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X3))))) @
% 84.12/11.95 X0))))
% 84.12/11.95 | (X1 @ X3)
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | ~ (X0 @ X3))),
% 84.12/11.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl46])).
% 84.12/11.95 thf(zip_derived_cl48, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i, X5 : $i]:
% 84.12/11.95 ( (((((~) @ ('#sk1' @ X2 @ X5))) | (mor @
% 84.12/11.95 (mnot @ (mand @ X1 @ (mbox @ '#sk1' @ X1))) @ X0 @ X5)))
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X3))))) @
% 84.12/11.95 X0))))
% 84.12/11.95 | (X1 @ X3)
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | ~ (X0 @ X3))),
% 84.12/11.95 inference('rw', [status(thm)], [zip_derived_cl47, '5'])).
% 84.12/11.95 thf(zip_derived_cl49, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i, X5 : $i]:
% 84.12/11.95 (~ ('#sk1' @ X2 @ X5)
% 84.12/11.95 | (mor @ (mnot @ (mand @ X1 @ (mbox @ '#sk1' @ X1))) @ X0 @ X5)
% 84.12/11.95 | ~ (X0 @ X3)
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | (X1 @ X3)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X3))))) @
% 84.12/11.95 X0)))))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl48])).
% 84.12/11.95 thf(zip_derived_cl50, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 ( (((X0 @ X4) | (mnot @ (mand @ X2 @ (mbox @ '#sk1' @ X2)) @ X4)))
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X1))))) @
% 84.12/11.95 X0))))
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl49, '3'])).
% 84.12/11.95 thf(zip_derived_cl51, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 ( (X0 @ X4)
% 84.12/11.95 | (mnot @ (mand @ X2 @ (mbox @ '#sk1' @ X2)) @ X4)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X1))))) @
% 84.12/11.95 X0)))))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl50])).
% 84.12/11.95 thf(zip_derived_cl52, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (mand @ X2 @ (mbox @ '#sk1' @ X2) @ X4)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X1))))) @
% 84.12/11.95 X0))))
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X0 @ X4))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl51, '6'])).
% 84.12/11.95 thf(zip_derived_cl53, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (mnot @ (mor @ (mnot @ X2) @ (mnot @ (mbox @ '#sk1' @ X2))) @ X4)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X1))))) @
% 84.12/11.95 X0))))
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X0 @ X4))),
% 84.12/11.95 inference('rw', [status(thm)], [zip_derived_cl52, '7'])).
% 84.12/11.95 thf(zip_derived_cl54, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i, X3 : $i, X4 : $i > $o]:
% 84.12/11.95 ( (mor @ (mnot @ X4) @ (mnot @ (mbox @ '#sk1' @ X4)) @ X1)
% 84.12/11.95 | (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X1)
% 84.12/11.95 | ~ (X0 @ X3)
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | (X4 @ X3)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X3))))) @
% 84.12/11.95 X0)))))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl53, '8'])).
% 84.12/11.95 thf(zip_derived_cl55, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 ( (((mnot @ (mbox @ '#sk1' @ X2) @ X4) | (mnot @ X2 @ X4)))
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X1))))) @
% 84.12/11.95 X0))))
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X0 @ X4))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl54, '3'])).
% 84.12/11.95 thf(zip_derived_cl56, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 ( (mnot @ (mbox @ '#sk1' @ X2) @ X4)
% 84.12/11.95 | (mnot @ X2 @ X4)
% 84.12/11.95 | (X0 @ X4)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X1))))) @
% 84.12/11.95 X0)))))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl55])).
% 84.12/11.95 thf(zip_derived_cl57, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (mbox @ '#sk1' @ X2 @ X4)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X1))))) @
% 84.12/11.95 X0))))
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X0 @ X4)
% 84.12/11.95 | (mnot @ X2 @ X4))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl56, '6'])).
% 84.12/11.95 thf(zip_derived_cl58, plain,
% 84.12/11.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk1' @ X0 @ Y0))) | (X1 @ Y0))))))
% 84.12/11.95 | (mnot @ X1 @ X0)
% 84.12/11.95 | (X2 @ X0)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X0)
% 84.12/11.95 | ~ (X2 @ X4)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X1 @ X4)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X4))))) @
% 84.12/11.95 X2)))))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl57, '9'])).
% 84.12/11.95 thf(zip_derived_cl59, plain,
% 84.12/11.95 (![X0 : $i, X1 : $i > $o, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X0))))) @
% 84.12/11.95 X1))))
% 84.12/11.95 | (mnot @ X1 @ X0)
% 84.12/11.95 | (X2 @ X0)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X0)
% 84.12/11.95 | ~ (X2 @ X4)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X1 @ X4)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X4))))) @
% 84.12/11.95 X2)))))),
% 84.12/11.95 inference('comb-normalize', [status(thm)], [zip_derived_cl58])).
% 84.12/11.95 thf(zip_derived_cl60, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (X2 @ X4)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X1))))) @
% 84.12/11.95 X0))))
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X0 @ X4)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X4))))) @
% 84.12/11.95 X2)))))),
% 84.12/11.95 inference('rw_clause', [status(thm)], [zip_derived_cl59, '6'])).
% 84.12/11.95 thf(zip_derived_cl61, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (((((~) @ ('#sk1' @ X1 @ ('#sk5' @ X0 @ X1)))) | (X0 @
% 84.12/11.95 ('#sk5' @ X0 @ X1))))
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X4))))) @
% 84.12/11.95 X2))))
% 84.12/11.95 | (X0 @ X4)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ (X2 @ X4))),
% 84.12/11.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl60])).
% 84.12/11.95 thf(zip_derived_cl63, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (X0 @ ('#sk5' @ X0 @ X1))
% 84.12/11.95 | ~ (X2 @ X4)
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X0 @ X4)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X4))))) @
% 84.12/11.95 X2)))))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl61])).
% 84.12/11.95 thf(zip_derived_cl65, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (((((~) @ ('#sk1' @ X4 @ ('#sk5' @ X2 @ X4)))) | (X2 @
% 84.12/11.95 ('#sk5' @ X2 @ X4))))
% 84.12/11.95 | (X0 @ X4)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ (X2 @ X4)
% 84.12/11.95 | ~ (X0 @ ('#sk5' @ X0 @ X1)))),
% 84.12/11.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl63])).
% 84.12/11.95 thf(zip_derived_cl69, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (X2 @ ('#sk5' @ X2 @ X4))
% 84.12/11.95 | ~ (X0 @ ('#sk5' @ X0 @ X1))
% 84.12/11.95 | ~ (X2 @ X4)
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X0 @ X4))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl65])).
% 84.12/11.95 thf(zip_derived_cl22, plain, ( ('#sk1' @ '#sk2' @ '#sk3')),
% 84.12/11.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])).
% 84.12/11.95 thf(zip_derived_cl86, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o]:
% 84.12/11.95 ( (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ '#sk2' @ X1)
% 84.12/11.95 | ~ (X0 @ '#sk3')
% 84.12/11.95 | (X2 @ '#sk3')
% 84.12/11.95 | ~ (X2 @ X1)
% 84.12/11.95 | ~ (X0 @ ('#sk5' @ X0 @ '#sk3'))
% 84.12/11.95 | ~ (X2 @ ('#sk5' @ X2 @ X1)))),
% 84.12/11.95 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl22])).
% 84.12/11.95 thf(zip_derived_cl21, plain, ( ('#sk1' @ '#sk2' @ '#sk4')),
% 84.12/11.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])).
% 84.12/11.95 thf(zip_derived_cl62, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 ( ('#sk1' @ X1 @ ('#sk5' @ X0 @ X1))
% 84.12/11.95 | ~ (X2 @ X4)
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X0 @ X4)
% 84.12/11.95 | ~ (((!!) @ ((('#S') @ ((('#B') @ (|) @
% 84.12/11.95 ((('#B') @ (~) @ ('#sk1' @ X4))))) @
% 84.12/11.95 X2)))))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl61])).
% 84.12/11.95 thf(zip_derived_cl64, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (((((~) @ ('#sk1' @ X4 @ ('#sk5' @ X2 @ X4)))) | (X2 @
% 84.12/11.95 ('#sk5' @ X2 @ X4))))
% 84.12/11.95 | (X0 @ X4)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ (X2 @ X4)
% 84.12/11.95 | ('#sk1' @ X1 @ ('#sk5' @ X0 @ X1)))),
% 84.12/11.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl62])).
% 84.12/11.95 thf(zip_derived_cl66, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 ( ('#sk1' @ X4 @ ('#sk5' @ X2 @ X4))
% 84.12/11.95 | ('#sk1' @ X1 @ ('#sk5' @ X0 @ X1))
% 84.12/11.95 | ~ (X2 @ X4)
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X0 @ X4))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl64])).
% 84.12/11.95 thf(zip_derived_cl67, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i]:
% 84.12/11.95 (~ (X2 @ ('#sk5' @ X2 @ X4))
% 84.12/11.95 | ('#sk1' @ X1 @ ('#sk5' @ X0 @ X1))
% 84.12/11.95 | ~ (X2 @ X4)
% 84.12/11.95 | (X2 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X1)
% 84.12/11.95 | ~ (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X3 @ X4)
% 84.12/11.95 | (X0 @ X4))),
% 84.12/11.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl64])).
% 84.12/11.95 thf(zip_derived_cl1630, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i, X3 : $i, X4 : $i > $o]:
% 84.12/11.95 (((X0 @ X1) != ('#sk1' @ X3 @ ('#sk5' @ X0 @ X3)))
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X1)
% 84.12/11.95 | ~ (X0 @ X3)
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | (X4 @ X3)
% 84.12/11.95 | ~ (X4 @ X1)
% 84.12/11.95 | ('#sk1' @ X3 @ ('#sk5' @ X0 @ X3))
% 84.12/11.95 | ~ (X4 @ ('#sk5' @ X4 @ X1)))),
% 84.12/11.95 inference('eq_fact', [status(thm)], [zip_derived_cl67])).
% 84.12/11.95 thf(zip_derived_cl1702, plain,
% 84.12/11.95 (![X0 : $i > $o, X1 : $i, X2 : $i, X3 : $i, X4 : $i > $o]:
% 84.12/11.95 ( (X0 @ X1)
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X1)
% 84.12/11.95 | ~ (X0 @ X3)
% 84.12/11.95 | ~ ('#sk1' @ X2 @ X3)
% 84.12/11.95 | (X4 @ X3)
% 84.12/11.95 | ~ (X4 @ X1)
% 84.12/11.95 | ('#sk1' @ X3 @ ('#sk5' @ X0 @ X3))
% 84.12/11.95 | ~ (X4 @ ('#sk5' @ X4 @ X1)))),
% 84.12/11.95 inference('local_rewriting', [status(thm)], [zip_derived_cl1630])).
% 84.12/11.95 thf(zip_derived_cl2751, plain, ($false),
% 84.12/11.95 inference('eprover', [status(thm)],
% 84.12/11.95 [zip_derived_cl23, zip_derived_cl25, zip_derived_cl27,
% 84.12/11.95 zip_derived_cl22, zip_derived_cl86, zip_derived_cl21,
% 84.12/11.95 zip_derived_cl66, zip_derived_cl1702])).
% 84.12/11.95
% 84.12/11.95 % SZS output end Refutation
% 84.12/11.95
% 84.12/11.95
% 84.12/11.95 % Terminating...
% 84.12/12.01 % Runner terminated.
% 84.12/12.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------