%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL718^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kfbEoXCFuj true
% Computer : n028.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 18.10s 2.97s
% Output : Refutation 18.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL718^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kfbEoXCFuj true
% 0.12/0.36 % Computer : n028.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Fri Sep 4 23:06:29 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Running portfolio for 300 s
% 0.12/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Number of cores: 8
% 0.12/0.37 % Python version: Python 3.12.3
% 0.12/0.38 % Running in HO mode
% 0.45/0.67 % Total configuration time : 828
% 0.45/0.67 % Estimated wc time : 1656
% 0.45/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.74 % /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
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 18.10/2.97 % Solved by lams/30_b.l.sh.
% 18.10/2.97 % done 78 iterations in 2.065s
% 18.10/2.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 18.10/2.97 % SZS output start Refutation
% 18.10/2.97 thf('#form63_type', type, '#form63': $i > ($i > $o) > $o).
% 18.10/2.97 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 18.10/2.97 thf('#sk1_type', type, '#sk1': $i > $i > $o).
% 18.10/2.97 thf('#sk2_type', type, '#sk2': $i).
% 18.10/2.97 thf('#sk3_type', type, '#sk3': $i).
% 18.10/2.97 thf('#sk4_type', type, '#sk4': $i).
% 18.10/2.97 thf(mweakly_directed_type, type, mweakly_directed: ($i > $i > $o) > $o).
% 18.10/2.97 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 18.10/2.97 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 18.10/2.97 thf(mdia_type, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 18.10/2.97 thf('#sk31_type', type, '#sk31': $i > ($i > $o) > $i).
% 18.10/2.97 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 18.10/2.97 thf(mforall_prop_type, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 18.10/2.97 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 18.10/2.97 thf(conj, conjecture,
% 18.10/2.97 (![R:( $i > $i > $o )]:
% 18.10/2.97 ( ( mvalid @
% 18.10/2.97 ( mforall_prop @
% 18.10/2.97 ( ^[A:( $i > $o )]:
% 18.10/2.97 ( mimplies @
% 18.10/2.97 ( mdia @ R @ ( mbox @ R @ A ) ) @
% 18.10/2.97 ( mbox @ R @ ( mdia @ R @ A ) ) ) ) ) ) =>
% 18.10/2.97 ( mweakly_directed @ R ) ))).
% 18.10/2.97 thf(zf_stmt_0, negated_conjecture,
% 18.10/2.97 (~( ![R:( $i > $i > $o )]:
% 18.10/2.97 ( ( mvalid @
% 18.10/2.97 ( mforall_prop @
% 18.10/2.97 ( ^[A:( $i > $o )]:
% 18.10/2.97 ( mimplies @
% 18.10/2.97 ( mdia @ R @ ( mbox @ R @ A ) ) @
% 18.10/2.97 ( mbox @ R @ ( mdia @ R @ A ) ) ) ) ) ) =>
% 18.10/2.97 ( mweakly_directed @ R ) ) )),
% 18.10/2.97 inference('cnf.neg', [status(esa)], [conj])).
% 18.10/2.97 thf(zip_derived_cl0, plain,
% 18.10/2.97 (~ (((!!) @ (^[Y0 : $i > $i > $o]:
% 18.10/2.97 (((mvalid @
% 18.10/2.97 (mforall_prop @
% 18.10/2.97 (^[Y1 : $i > $o]:
% 18.10/2.97 (mimplies @ (mdia @ Y0 @ (mbox @ Y0 @ Y1)) @
% 18.10/2.97 (mbox @ Y0 @ (mdia @ Y0 @ Y1)))))) =>
% 18.10/2.97 (mweakly_directed @ Y0))))))),
% 18.10/2.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 18.10/2.97 thf(zip_derived_cl1, plain,
% 18.10/2.97 (~ (((mvalid @
% 18.10/2.97 (mforall_prop @
% 18.10/2.97 (^[Y0 : $i > $o]:
% 18.10/2.97 (mimplies @ (mdia @ '#sk1' @ (mbox @ '#sk1' @ Y0)) @
% 18.10/2.97 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y0)))))) =>
% 18.10/2.97 (mweakly_directed @ '#sk1')))),
% 18.10/2.97 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 18.10/2.97 thf(zip_derived_cl3, plain, (~ (mweakly_directed @ '#sk1')),
% 18.10/2.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 18.10/2.97 thf(mweakly_directed, axiom, ~ (mweakly_directed @ X0) =>
% 18.10/2.97 ((((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((!!) @ (^[Y1 : $i]:
% 18.10/2.97 (((!!) @ (^[Y2 : $i]:
% 18.10/2.97 (((((X0 @ Y0 @ Y2) & (X0 @ Y0 @ Y1))) =>
% 18.10/2.97 (((??) @ (^[Y3 : $i]:
% 18.10/2.97 (((X0 @ Y1 @ Y3) &
% 18.10/2.97 (X0 @ Y2 @ Y3)))))))))))))))))
% 18.10/2.97 != ($true))).
% 18.10/2.97 thf('0', plain,
% 18.10/2.97 (![X0:( $i > $i > $o )]:
% 18.10/2.97 ( ( ~( mweakly_directed @ X0 ) ) <=>
% 18.10/2.97 ( ~( ![X5:$i,X7:$i,X9:$i]:
% 18.10/2.97 ( ( ( X0 @ X5 @ X9 ) & ( X0 @ X5 @ X7 ) ) =>
% 18.10/2.97 ( ?[X11:$i]: ( ( X0 @ X7 @ X11 ) & ( X0 @ X9 @ X11 ) ) ) ) ) ) )),
% 18.10/2.97 inference('rw.lit', [status(esa)], [mweakly_directed])).
% 18.10/2.97 thf(zip_derived_cl5, plain,
% 18.10/2.97 (~ (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((!!) @ (^[Y1 : $i]:
% 18.10/2.97 (((!!) @ (^[Y2 : $i]:
% 18.10/2.97 ((((('#sk1' @ Y0 @ Y2) &
% 18.10/2.97 ('#sk1' @ Y0 @ Y1))) =>
% 18.10/2.97 (((??) @ (^[Y3 : $i]:
% 18.10/2.97 ((('#sk1' @ Y1 @
% 18.10/2.97 Y3) & ('#sk1' @
% 18.10/2.97 Y2 @ Y3)))))))))))))))))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl3, '0'])).
% 18.10/2.97 thf(zip_derived_cl7, plain,
% 18.10/2.97 (~ (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((!!) @ (^[Y1 : $i]:
% 18.10/2.97 ((((('#sk1' @ '#sk2' @ Y1) & ('#sk1' @
% 18.10/2.97 '#sk2' @ Y0))) =>
% 18.10/2.97 (((??) @ (^[Y2 : $i]:
% 18.10/2.97 ((('#sk1' @ Y0 @ Y2) &
% 18.10/2.97 ('#sk1' @ Y1 @ Y2))))))))))))))),
% 18.10/2.97 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])).
% 18.10/2.97 thf(zip_derived_cl9, plain,
% 18.10/2.97 (~ (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 ((((('#sk1' @ '#sk2' @ Y0) & ('#sk1' @ '#sk2' @ '#sk3'))) =>
% 18.10/2.97 (((??) @ (^[Y1 : $i]:
% 18.10/2.97 ((('#sk1' @ '#sk3' @ Y1) & ('#sk1' @ Y0 @
% 18.10/2.97 Y1)))))))))))),
% 18.10/2.97 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])).
% 18.10/2.97 thf(zip_derived_cl12, plain,
% 18.10/2.97 (~ ((((('#sk1' @ '#sk2' @ '#sk4') & ('#sk1' @ '#sk2' @ '#sk3'))) =>
% 18.10/2.97 (((??) @ (^[Y0 : $i]:
% 18.10/2.97 ((('#sk1' @ '#sk3' @ Y0) & ('#sk1' @ '#sk4' @ Y0))))))))),
% 18.10/2.97 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 18.10/2.97 thf(zip_derived_cl15, plain,
% 18.10/2.97 ( ((('#sk1' @ '#sk2' @ '#sk4') & ('#sk1' @ '#sk2' @ '#sk3')))),
% 18.10/2.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
% 18.10/2.97 thf(zip_derived_cl18, plain, ( ('#sk1' @ '#sk2' @ '#sk4')),
% 18.10/2.97 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
% 18.10/2.97 thf(zip_derived_cl2, plain,
% 18.10/2.97 ( (mvalid @
% 18.10/2.97 (mforall_prop @
% 18.10/2.97 (^[Y0 : $i > $o]:
% 18.10/2.97 (mimplies @ (mdia @ '#sk1' @ (mbox @ '#sk1' @ Y0)) @
% 18.10/2.97 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y0))))))),
% 18.10/2.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 18.10/2.97 thf(mvalid, axiom, (mvalid @ X0) =>
% 18.10/2.97 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
% 18.10/2.97 thf('1', plain,
% 18.10/2.97 (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
% 18.10/2.97 inference('rw.lit', [status(esa)], [mvalid])).
% 18.10/2.97 thf(zip_derived_cl4, plain,
% 18.10/2.97 ( (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (mforall_prop @
% 18.10/2.97 (^[Y1 : $i > $o]:
% 18.10/2.97 (mimplies @ (mdia @ '#sk1' @ (mbox @ '#sk1' @ Y1)) @
% 18.10/2.97 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y1)))) @
% 18.10/2.97 Y0))))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl2, '1'])).
% 18.10/2.97 thf(zip_derived_cl6, plain,
% 18.10/2.97 (![X2 : $i]:
% 18.10/2.97 (mforall_prop @
% 18.10/2.97 (^[Y0 : $i > $o]:
% 18.10/2.97 (mimplies @ (mdia @ '#sk1' @ (mbox @ '#sk1' @ Y0)) @
% 18.10/2.97 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y0)))) @
% 18.10/2.97 X2)),
% 18.10/2.97 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])).
% 18.10/2.97 thf(mforall_prop, axiom, (mforall_prop @ X0 @ X1) =>
% 18.10/2.97 ((((!!) @ (^[Y0 : $i > $o]: (X0 @ Y0 @ X1)))) = ($true))).
% 18.10/2.97 thf('2', plain,
% 18.10/2.97 (![X0:( ( $i > $o ) > $i > $o ),X1:$i]:
% 18.10/2.97 ( ( mforall_prop @ X0 @ X1 ) <=> ( ![X6:( $i > $o )]: ( X0 @ X6 @ X1 ) ) )),
% 18.10/2.97 inference('rw.lit', [status(esa)], [mforall_prop])).
% 18.10/2.97 thf(zip_derived_cl8, plain,
% 18.10/2.97 (![X0 : $i]:
% 18.10/2.97 (((!!) @ (^[Y0 : $i > $o]:
% 18.10/2.97 ((^[Y1 : $i > $o]:
% 18.10/2.97 (mimplies @ (mdia @ '#sk1' @ (mbox @ '#sk1' @ Y1)) @
% 18.10/2.97 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y1)))) @
% 18.10/2.97 Y0 @ X0))))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl6, '2'])).
% 18.10/2.97 thf(zip_derived_cl10, plain,
% 18.10/2.97 (![X0 : $i]:
% 18.10/2.97 (((!!) @ (^[Y0 : $i > $o]:
% 18.10/2.97 (mimplies @ (mdia @ '#sk1' @ (mbox @ '#sk1' @ Y0)) @
% 18.10/2.97 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y0)) @ X0))))),
% 18.10/2.97 inference('ho_norm', [status(thm)], [zip_derived_cl8])).
% 18.10/2.97 thf(zip_derived_cl11, plain,
% 18.10/2.97 (![X0 : $i, X2 : $i > $o]:
% 18.10/2.97 (mimplies @ (mdia @ '#sk1' @ (mbox @ '#sk1' @ X2)) @
% 18.10/2.97 (mbox @ '#sk1' @ (mdia @ '#sk1' @ X2)) @ X0)),
% 18.10/2.97 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])).
% 18.10/2.97 thf(mimplies, axiom,(( mimplies @ (X0)@ (X1)@ (X2)) =
% 18.10/2.97 ((mor @ (mnot @ X0) @ X1 @ X2)))).
% 18.10/2.97 thf('3', plain,
% 18.10/2.97 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 18.10/2.97 ( ( mimplies @ X0 @ X1 @ X2 ) = ( mor @ ( mnot @ X0 ) @ X1 @ X2 ) )),
% 18.10/2.97 define([status(thm)])).
% 18.10/2.97 thf(zip_derived_cl13, plain,
% 18.10/2.97 (![X0 : $i, X2 : $i > $o]:
% 18.10/2.97 (mor @ (mnot @ (mdia @ '#sk1' @ (mbox @ '#sk1' @ X2))) @
% 18.10/2.97 (mbox @ '#sk1' @ (mdia @ '#sk1' @ X2)) @ X0)),
% 18.10/2.97 inference('rw', [status(thm)], [zip_derived_cl11, '3'])).
% 18.10/2.97 thf(mor, axiom, (mor @ X0 @ X1 @ X2) =>
% 18.10/2.97 ((((X1 @ X2) | (X0 @ X2))) = ($true))).
% 18.10/2.97 thf('4', plain,
% 18.10/2.97 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 18.10/2.97 ( ( mor @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) | ( X1 @ X2 ) ) )),
% 18.10/2.97 inference('rw.lit', [status(esa)], [mor])).
% 18.10/2.97 thf(zip_derived_cl14, plain,
% 18.10/2.97 (![X0 : $i > $o, X1 : $i]:
% 18.10/2.97 (((mbox @ '#sk1' @ (mdia @ '#sk1' @ X0) @ X1) | (mnot @
% 18.10/2.97 (mdia @ '#sk1' @ (mbox @ '#sk1' @ X0)) @ X1)))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl13, '4'])).
% 18.10/2.97 thf(zip_derived_cl17, plain,
% 18.10/2.97 (![X0 : $i > $o, X1 : $i]:
% 18.10/2.97 ( (mbox @ '#sk1' @ (mdia @ '#sk1' @ X0) @ X1)
% 18.10/2.97 | (mnot @ (mdia @ '#sk1' @ (mbox @ '#sk1' @ X0)) @ X1))),
% 18.10/2.97 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl14])).
% 18.10/2.97 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
% 18.10/2.97 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) =
% 18.10/2.97 ($true))).
% 18.10/2.97 thf('5', plain,
% 18.10/2.97 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 18.10/2.97 ( ( mbox @ X0 @ X1 @ X2 ) <=>
% 18.10/2.97 ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )),
% 18.10/2.97 inference('rw.lit', [status(esa)], [mbox])).
% 18.10/2.97 thf(zip_derived_cl21, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i > $o]:
% 18.10/2.97 ( (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X0 @ Y0))) | (mdia @ '#sk1' @ X1 @
% 18.10/2.97 Y0))))))
% 18.10/2.97 | (mnot @ (mdia @ '#sk1' @ (mbox @ '#sk1' @ X1)) @ X0))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl17, '5'])).
% 18.10/2.97 thf(mnot, axiom, (mnot @ X0 @ X1) => ((X0 @ X1) != ($true))).
% 18.10/2.97 thf('6', plain,
% 18.10/2.97 (![X0:( $i > $o ),X1:$i]: ( ( mnot @ X0 @ X1 ) <=> ( ~( X0 @ X1 ) ) )),
% 18.10/2.97 inference('rw.lit', [status(esa)], [mnot])).
% 18.10/2.97 thf(zip_derived_cl23, plain,
% 18.10/2.97 (![X0 : $i > $o, X1 : $i]:
% 18.10/2.97 (~ (mdia @ '#sk1' @ (mbox @ '#sk1' @ X0) @ X1)
% 18.10/2.97 | (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 18.10/2.97 X0 @ Y0)))))))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl21, '6'])).
% 18.10/2.97 thf(mdia, axiom,(( mdia @ (X0)@ (X1)@ (X2)) =
% 18.10/2.97 ((mnot @ (mbox @ X0 @ (mnot @ X1)) @ X2)))).
% 18.10/2.97 thf('7', plain,
% 18.10/2.97 (![X2:$i,X1:( $i > $o ),X0:( $i > $i > $o )]:
% 18.10/2.97 ( ( mdia @ X0 @ X1 @ X2 ) =
% 18.10/2.97 ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) @ X2 ) )),
% 18.10/2.97 define([status(thm)])).
% 18.10/2.97 thf(zip_derived_cl24, plain,
% 18.10/2.97 (![X0 : $i > $o, X1 : $i]:
% 18.10/2.97 (~ (mnot @ (mbox @ '#sk1' @ (mnot @ (mbox @ '#sk1' @ X0))) @ X1)
% 18.10/2.97 | (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 18.10/2.97 X0 @ Y0)))))))),
% 18.10/2.97 inference('rw', [status(thm)], [zip_derived_cl23, '7'])).
% 18.10/2.97 thf(mnot, axiom, ~ (mnot @ X0 @ X1) => ((X0 @ X1) = ($true))).
% 18.10/2.97 thf('8', plain,
% 18.10/2.97 (![X0:( $i > $o ),X1:$i]: ( ( ~( mnot @ X0 @ X1 ) ) <=> ( X0 @ X1 ) )),
% 18.10/2.97 inference('rw.lit', [status(esa)], [mnot])).
% 18.10/2.97 thf(zip_derived_cl25, plain,
% 18.10/2.97 (![X0 : $i > $o, X1 : $i]:
% 18.10/2.97 ( (mbox @ '#sk1' @ (mnot @ (mbox @ '#sk1' @ X0)) @ X1)
% 18.10/2.97 | (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 18.10/2.97 X0 @ Y0)))))))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl24, '8'])).
% 18.10/2.97 thf(zip_derived_cl26, plain,
% 18.10/2.97 (![X0 : $i > $o, X1 : $i]:
% 18.10/2.97 ( (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mnot @
% 18.10/2.97 (mbox @ '#sk1' @ X0) @ Y0))))))
% 18.10/2.97 | (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 18.10/2.97 X0 @ Y0)))))))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl25, '5'])).
% 18.10/2.97 thf(zip_derived_cl27, plain,
% 18.10/2.97 (![X0 : $i > $o, X1 : $i, X3 : $i]:
% 18.10/2.97 ( (((((~) @ ('#sk1' @ X1 @ X3))) | (mnot @ (mbox @ '#sk1' @ X0) @ X3)))
% 18.10/2.97 | (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 18.10/2.97 X0 @ Y0)))))))),
% 18.10/2.97 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl26])).
% 18.10/2.97 thf(zip_derived_cl28, plain,
% 18.10/2.97 (![X0 : $i > $o, X1 : $i, X3 : $i]:
% 18.10/2.97 (~ ('#sk1' @ X1 @ X3)
% 18.10/2.97 | (mnot @ (mbox @ '#sk1' @ X0) @ X3)
% 18.10/2.97 | (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 18.10/2.97 X0 @ Y0)))))))),
% 18.10/2.97 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])).
% 18.10/2.97 thf(zip_derived_cl29, plain,
% 18.10/2.97 (![X0 : $i > $o, X1 : $i, X2 : $i]:
% 18.10/2.97 (~ (mbox @ '#sk1' @ X0 @ X2)
% 18.10/2.97 | (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 18.10/2.97 X0 @ Y0))))))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X2))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl28, '6'])).
% 18.10/2.97 thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
% 18.10/2.97 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) !=
% 18.10/2.97 ($true))).
% 18.10/2.97 thf('9', plain,
% 18.10/2.97 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 18.10/2.97 ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
% 18.10/2.97 ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )),
% 18.10/2.97 inference('rw.lit', [status(esa)], [mbox])).
% 18.10/2.97 thf(zip_derived_cl30, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 18.10/2.97 (~ (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk1' @ X0 @ Y0))) | (X2 @ Y0))))))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 18.10/2.97 X2 @ Y0)))))))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl29, '9'])).
% 18.10/2.97 thf(zip_derived_cl31, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 18.10/2.97 (~ (((((~) @ ('#sk1' @ X0 @ ('#sk31' @ X0 @ X2)))) | (X2 @
% 18.10/2.97 ('#sk31' @ X0 @ X2))))
% 18.10/2.97 | (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 18.10/2.97 X2 @ Y0))))))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0))),
% 18.10/2.97 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl30])).
% 18.10/2.97 thf(zip_derived_cl33, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 18.10/2.97 (~ (X2 @ ('#sk31' @ X0 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 18.10/2.97 X2 @ Y0)))))))),
% 18.10/2.97 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])).
% 18.10/2.97 thf(zip_derived_cl35, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X4 : $i]:
% 18.10/2.97 ( (((((~) @ ('#sk1' @ X1 @ X4))) | (mdia @ '#sk1' @ X2 @ X4)))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | ~ (X2 @ ('#sk31' @ X0 @ X2)))),
% 18.10/2.97 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl33])).
% 18.10/2.97 thf(zip_derived_cl38, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X4 : $i]:
% 18.10/2.97 ( (((((~) @ ('#sk1' @ X1 @ X4))) | (mnot @
% 18.10/2.97 (mbox @ '#sk1' @ (mnot @ X2)) @ X4)))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | ~ (X2 @ ('#sk31' @ X0 @ X2)))),
% 18.10/2.97 inference('rw', [status(thm)], [zip_derived_cl35, '7'])).
% 18.10/2.97 thf(zip_derived_cl39, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X4 : $i]:
% 18.10/2.97 (~ ('#sk1' @ X1 @ X4)
% 18.10/2.97 | (mnot @ (mbox @ '#sk1' @ (mnot @ X2)) @ X4)
% 18.10/2.97 | ~ (X2 @ ('#sk31' @ X0 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0))),
% 18.10/2.97 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl38])).
% 18.10/2.97 thf(zip_derived_cl41, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 18.10/2.97 (~ (mbox @ '#sk1' @ (mnot @ X2) @ X3)
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | ~ (X2 @ ('#sk31' @ X0 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X3))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl39, '6'])).
% 18.10/2.97 thf(zip_derived_cl43, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 18.10/2.97 (~ (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X0 @ Y0))) | (mnot @ X2 @ Y0))))))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | ~ (X2 @ ('#sk31' @ X3 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X3))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl41, '9'])).
% 18.10/2.97 thf(zip_derived_cl45, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 18.10/2.97 (~ (((((~) @ ('#sk1' @ X0 @ ('#sk31' @ X0 @ (mnot @ X2))))) | (mnot @
% 18.10/2.97 X2 @ ('#sk31' @ X0 @ (mnot @ X2)))))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X3)
% 18.10/2.97 | ~ (X2 @ ('#sk31' @ X3 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0))),
% 18.10/2.97 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl43])).
% 18.10/2.97 thf(zip_derived_cl32, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 18.10/2.97 ( ('#sk1' @ X0 @ ('#sk31' @ X0 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 18.10/2.97 X2 @ Y0)))))))),
% 18.10/2.97 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])).
% 18.10/2.97 thf(zip_derived_cl34, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X4 : $i]:
% 18.10/2.97 ( (((((~) @ ('#sk1' @ X1 @ X4))) | (mdia @ '#sk1' @ X2 @ X4)))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | ('#sk1' @ X0 @ ('#sk31' @ X0 @ X2)))),
% 18.10/2.97 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])).
% 18.10/2.97 thf(zip_derived_cl36, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X4 : $i]:
% 18.10/2.97 ( (((((~) @ ('#sk1' @ X1 @ X4))) | (mnot @
% 18.10/2.97 (mbox @ '#sk1' @ (mnot @ X2)) @ X4)))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | ('#sk1' @ X0 @ ('#sk31' @ X0 @ X2)))),
% 18.10/2.97 inference('rw', [status(thm)], [zip_derived_cl34, '7'])).
% 18.10/2.97 thf(zip_derived_cl37, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X4 : $i]:
% 18.10/2.97 (~ ('#sk1' @ X1 @ X4)
% 18.10/2.97 | (mnot @ (mbox @ '#sk1' @ (mnot @ X2)) @ X4)
% 18.10/2.97 | ('#sk1' @ X0 @ ('#sk31' @ X0 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0))),
% 18.10/2.97 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl36])).
% 18.10/2.97 thf(zip_derived_cl40, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 18.10/2.97 (~ (mbox @ '#sk1' @ (mnot @ X2) @ X3)
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | ('#sk1' @ X0 @ ('#sk31' @ X0 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X3))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl37, '6'])).
% 18.10/2.97 thf(zip_derived_cl42, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 18.10/2.97 (~ (((!!) @ (^[Y0 : $i]:
% 18.10/2.97 (((((~) @ ('#sk1' @ X0 @ Y0))) | (mnot @ X2 @ Y0))))))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | ('#sk1' @ X3 @ ('#sk31' @ X3 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X3))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl40, '9'])).
% 18.10/2.97 thf(zip_derived_cl44, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 18.10/2.97 (~ (((((~) @ ('#sk1' @ X0 @ ('#sk31' @ X0 @ (mnot @ X2))))) | (mnot @
% 18.10/2.97 X2 @ ('#sk31' @ X0 @ (mnot @ X2)))))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X3)
% 18.10/2.97 | ('#sk1' @ X3 @ ('#sk31' @ X3 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0))),
% 18.10/2.97 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])).
% 18.10/2.97 thf(zip_derived_cl46, plain,
% 18.10/2.97 (![X0 : $i, X2 : $i > $o]:
% 18.10/2.97 ( ('#form63' @ X0 @ X2)
% 18.10/2.97 | ~ (((((~) @ ('#sk1' @ X0 @ ('#sk31' @ X0 @ (mnot @ X2))))) |
% 18.10/2.97 (mnot @ X2 @ ('#sk31' @ X0 @ (mnot @ X2))))))),
% 18.10/2.97 define([status(thm)])).
% 18.10/2.97 thf(zip_derived_cl50, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 18.10/2.97 (~ ('#form63' @ X0 @ X2)
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | ~ (X2 @ ('#sk31' @ X3 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X3))),
% 18.10/2.97 inference('renaming', [status(thm)], [zip_derived_cl45, zip_derived_cl46])).
% 18.10/2.97 thf(zip_derived_cl18, plain, ( ('#sk1' @ '#sk2' @ '#sk4')),
% 18.10/2.97 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
% 18.10/2.97 thf(zip_derived_cl457, plain,
% 18.10/2.97 (![X0 : $i > $o, X1 : $i]:
% 18.10/2.97 (~ (X0 @ ('#sk31' @ '#sk4' @ X0))
% 18.10/2.97 | ~ ('#sk1' @ '#sk2' @ X1)
% 18.10/2.97 | ~ ('#form63' @ X1 @ X0))),
% 18.10/2.97 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl18])).
% 18.10/2.97 thf(zip_derived_cl19, plain, ( ('#sk1' @ '#sk2' @ '#sk3')),
% 18.10/2.97 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
% 18.10/2.97 thf(zip_derived_cl666, plain,
% 18.10/2.97 (![X0 : $i > $o]:
% 18.10/2.97 (~ ('#form63' @ '#sk3' @ X0) | ~ (X0 @ ('#sk31' @ '#sk4' @ X0)))),
% 18.10/2.97 inference('sup+', [status(thm)], [zip_derived_cl457, zip_derived_cl19])).
% 18.10/2.97 thf(zip_derived_cl44, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 18.10/2.97 (~ (((((~) @ ('#sk1' @ X0 @ ('#sk31' @ X0 @ (mnot @ X2))))) | (mnot @
% 18.10/2.97 X2 @ ('#sk31' @ X0 @ (mnot @ X2)))))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X3)
% 18.10/2.97 | ('#sk1' @ X3 @ ('#sk31' @ X3 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0))),
% 18.10/2.97 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])).
% 18.10/2.97 thf(zip_derived_cl46, plain,
% 18.10/2.97 (![X0 : $i, X2 : $i > $o]:
% 18.10/2.97 ( ('#form63' @ X0 @ X2)
% 18.10/2.97 | ~ (((((~) @ ('#sk1' @ X0 @ ('#sk31' @ X0 @ (mnot @ X2))))) |
% 18.10/2.97 (mnot @ X2 @ ('#sk31' @ X0 @ (mnot @ X2))))))),
% 18.10/2.97 define([status(thm)])).
% 18.10/2.97 thf(zip_derived_cl49, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 18.10/2.97 (~ ('#form63' @ X0 @ X2)
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X0)
% 18.10/2.97 | ('#sk1' @ X3 @ ('#sk31' @ X3 @ X2))
% 18.10/2.97 | ~ ('#sk1' @ X1 @ X3))),
% 18.10/2.97 inference('renaming', [status(thm)], [zip_derived_cl44, zip_derived_cl46])).
% 18.10/2.97 thf(zip_derived_cl966, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i]:
% 18.10/2.97 (~ ('#form63' @ '#sk3' @ ('#sk1' @ '#sk4'))
% 18.10/2.97 | ~ ('#sk1' @ X0 @ '#sk4')
% 18.10/2.97 | ~ ('#sk1' @ X0 @ X1)
% 18.10/2.97 | ~ ('#form63' @ X1 @ ('#sk1' @ '#sk4')))),
% 18.10/2.97 inference('sup+', [status(thm)], [zip_derived_cl666, zip_derived_cl49])).
% 18.10/2.97 thf(zip_derived_cl46, plain,
% 18.10/2.97 (![X0 : $i, X2 : $i > $o]:
% 18.10/2.97 ( ('#form63' @ X0 @ X2)
% 18.10/2.97 | ~ (((((~) @ ('#sk1' @ X0 @ ('#sk31' @ X0 @ (mnot @ X2))))) |
% 18.10/2.97 (mnot @ X2 @ ('#sk31' @ X0 @ (mnot @ X2))))))),
% 18.10/2.97 define([status(thm)])).
% 18.10/2.97 thf(zip_derived_cl48, plain,
% 18.10/2.97 (![X0 : $i, X2 : $i > $o]:
% 18.10/2.97 (~ (mnot @ X2 @ ('#sk31' @ X0 @ (mnot @ X2))) | ('#form63' @ X0 @ X2))),
% 18.10/2.97 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl46])).
% 18.10/2.97 thf(zip_derived_cl51, plain,
% 18.10/2.97 (![X0 : $i > $o, X1 : $i]:
% 18.10/2.97 ( (X0 @ ('#sk31' @ X1 @ (mnot @ X0))) | ('#form63' @ X1 @ X0))),
% 18.10/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl48, '8'])).
% 18.10/2.97 thf(zip_derived_cl47, plain,
% 18.10/2.97 (![X0 : $i, X2 : $i > $o]:
% 18.10/2.97 ( ('#sk1' @ X0 @ ('#sk31' @ X0 @ (mnot @ X2)))
% 18.10/2.97 | ('#form63' @ X0 @ X2))),
% 18.10/2.97 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl46])).
% 18.10/2.97 thf(zip_derived_cl16, plain,
% 18.10/2.97 (~ (((??) @ (^[Y0 : $i]:
% 18.10/2.97 ((('#sk1' @ '#sk3' @ Y0) & ('#sk1' @ '#sk4' @ Y0))))))),
% 18.10/2.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
% 18.10/2.97 thf(zip_derived_cl20, plain,
% 18.10/2.97 (![X2 : $i]: ~ ((('#sk1' @ '#sk3' @ X2) & ('#sk1' @ '#sk4' @ X2)))),
% 18.10/2.97 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])).
% 18.10/2.97 thf(zip_derived_cl22, plain,
% 18.10/2.97 (![X2 : $i]: (~ ('#sk1' @ '#sk3' @ X2) | ~ ('#sk1' @ '#sk4' @ X2))),
% 18.10/2.97 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])).
% 18.10/2.97 thf(zip_derived_cl92, plain,
% 18.10/2.97 (![X0 : $i > $o]:
% 18.10/2.97 ( ('#form63' @ '#sk3' @ X0)
% 18.10/2.97 | ~ ('#sk1' @ '#sk4' @ ('#sk31' @ '#sk3' @ (mnot @ X0))))),
% 18.10/2.97 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl22])).
% 18.10/2.97 thf(zip_derived_cl113, plain,
% 18.10/2.97 (( ('#form63' @ '#sk3' @ ('#sk1' @ '#sk4'))
% 18.10/2.97 | ('#form63' @ '#sk3' @ ('#sk1' @ '#sk4')))),
% 18.10/2.97 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl92])).
% 18.10/2.97 thf(zip_derived_cl118, plain, ( ('#form63' @ '#sk3' @ ('#sk1' @ '#sk4'))),
% 18.10/2.97 inference('simplify', [status(thm)], [zip_derived_cl113])).
% 18.10/2.97 thf(zip_derived_cl998, plain,
% 18.10/2.97 (![X0 : $i, X1 : $i]:
% 18.10/2.97 (~ ('#sk1' @ X0 @ '#sk4')
% 18.10/2.97 | ~ ('#sk1' @ X0 @ X1)
% 18.10/2.97 | ~ ('#form63' @ X1 @ ('#sk1' @ '#sk4')))),
% 18.10/2.97 inference('demod', [status(thm)], [zip_derived_cl966, zip_derived_cl118])).
% 18.10/2.97 thf(zip_derived_cl118, plain, ( ('#form63' @ '#sk3' @ ('#sk1' @ '#sk4'))),
% 18.10/2.97 inference('simplify', [status(thm)], [zip_derived_cl113])).
% 18.10/2.97 thf(zip_derived_cl1280, plain,
% 18.10/2.97 (![X0 : $i]: (~ ('#sk1' @ X0 @ '#sk3') | ~ ('#sk1' @ X0 @ '#sk4'))),
% 18.10/2.97 inference('sup+', [status(thm)], [zip_derived_cl998, zip_derived_cl118])).
% 18.10/2.97 thf(zip_derived_cl1377, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')),
% 18.10/2.97 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1280])).
% 18.10/2.97 thf(zip_derived_cl19, plain, ( ('#sk1' @ '#sk2' @ '#sk3')),
% 18.10/2.97 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
% 18.10/2.97 thf(zip_derived_cl1463, plain, ($false),
% 18.10/2.97 inference('demod', [status(thm)], [zip_derived_cl1377, zip_derived_cl19])).
% 18.10/2.97
% 18.10/2.97 % SZS output end Refutation
% 18.10/2.97
% 18.10/2.97
% 18.10/2.98 % Terminating...
% 18.10/3.02 % Runner terminated.
% 18.10/3.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------