%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL878^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aZce6Mh6Gr true
% Computer : n017.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 01:37:31 PM UTC 2026
% Result : Theorem 0.42s 1.04s
% Output : Refutation 3.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL878^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aZce6Mh6Gr true
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri Sep 4 12:25:23 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % Running portfolio for 300 s
% 0.10/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.12.3
% 0.14/0.36 % Running in HO mode
% 0.38/0.59 % Total configuration time : 828
% 0.38/0.59 % Estimated wc time : 1656
% 0.38/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.39/0.66 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.39/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.42/1.04 % Solved by lams/30_b.l.sh.
% 0.42/1.04 % done 32 iterations in 0.224s
% 0.42/1.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.42/1.04 % SZS output start Refutation
% 0.42/1.04 thf('#sk8_type', type, '#sk8': $i).
% 0.42/1.04 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.42/1.04 thf('#sk2_type', type, '#sk2': $i > $i > $o).
% 0.42/1.04 thf('#sk3_type', type, '#sk3': $i).
% 0.42/1.04 thf('#form4_type', type, '#form4': $o).
% 0.42/1.04 thf('#sk5_type', type, '#sk5': $i).
% 0.42/1.04 thf('#sk6_type', type, '#sk6': $i).
% 0.42/1.04 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 0.42/1.04 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.42/1.04 thf('#sk7_type', type, '#sk7': $i > $o).
% 0.42/1.04 thf('#sk1_type', type, '#sk1': $i > $i > $o).
% 0.42/1.04 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.42/1.04 thf(mforall_prop_type, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.42/1.04 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 0.42/1.04 thf('#sk23_type', type, '#sk23': ($i > $o) > $i > $i).
% 0.42/1.04 thf(conj, conjecture,
% 0.42/1.04 (![I:( $i > $i > $o ),J:( $i > $i > $o )]:
% 0.42/1.04 ( ( mvalid @
% 0.42/1.04 ( mforall_prop @
% 0.42/1.04 ( ^[Phi:( $i > $o )]:
% 0.42/1.04 ( mimplies @ ( mbox @ I @ Phi ) @ ( mbox @ J @ Phi ) ) ) ) ) <=>
% 0.42/1.04 ( ![U:$i,V:$i]: ( ( J @ U @ V ) => ( I @ U @ V ) ) ) ))).
% 0.42/1.04 thf(zf_stmt_0, negated_conjecture,
% 0.42/1.04 (~( ![I:( $i > $i > $o ),J:( $i > $i > $o )]:
% 0.42/1.04 ( ( mvalid @
% 0.42/1.04 ( mforall_prop @
% 0.42/1.04 ( ^[Phi:( $i > $o )]:
% 0.42/1.04 ( mimplies @ ( mbox @ I @ Phi ) @ ( mbox @ J @ Phi ) ) ) ) ) <=>
% 0.42/1.04 ( ![U:$i,V:$i]: ( ( J @ U @ V ) => ( I @ U @ V ) ) ) ) )),
% 0.42/1.04 inference('cnf.neg', [status(esa)], [conj])).
% 0.42/1.04 thf(zip_derived_cl0, plain,
% 0.42/1.04 (~ (((!!) @ (^[Y0 : $i > $i > $o]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i > $i > $o]:
% 0.42/1.04 (((mvalid @
% 0.42/1.04 (mforall_prop @
% 0.42/1.04 (^[Y2 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ Y0 @ Y2) @
% 0.42/1.04 (mbox @ Y1 @ Y2))))) <=>
% 0.42/1.04 (((!!) @ (^[Y2 : $i]:
% 0.42/1.04 (((!!) @ (^[Y3 : $i]:
% 0.42/1.04 (((Y1 @ Y2 @ Y3) =>
% 0.42/1.04 (Y0 @ Y2 @ Y3)))))))))))))))))),
% 0.42/1.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.42/1.04 thf(zip_derived_cl1, plain,
% 0.42/1.04 (~ (((!!) @ (^[Y0 : $i > $i > $o]:
% 0.42/1.04 (((mvalid @
% 0.42/1.04 (mforall_prop @
% 0.42/1.04 (^[Y1 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y1) @ (mbox @ Y0 @ Y1))))) <=>
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 (((!!) @ (^[Y2 : $i]:
% 0.42/1.04 (((Y0 @ Y1 @ Y2) => ('#sk1' @
% 0.42/1.04 Y1 @ Y2))))))))))))))),
% 0.42/1.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 0.42/1.04 thf(zip_derived_cl2, plain,
% 0.42/1.04 (~ (((mvalid @
% 0.42/1.04 (mforall_prop @
% 0.42/1.04 (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @ (mbox @ '#sk2' @ Y0))))) <=>
% 0.42/1.04 (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))))))))),
% 0.42/1.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])).
% 0.42/1.04 thf(zip_derived_cl3, plain,
% 0.42/1.04 (((mvalid @
% 0.42/1.04 (mforall_prop @
% 0.42/1.04 (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @ (mbox @ '#sk2' @ Y0)))))
% 0.42/1.04 != (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 inference('simplify nested equalities', [status(thm)], [zip_derived_cl2])).
% 0.42/1.04 thf(zip_derived_cl4, plain,
% 0.42/1.04 (( (mvalid @
% 0.42/1.04 (mforall_prop @
% 0.42/1.04 (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @ (mbox @ '#sk2' @ Y0)))))
% 0.42/1.04 | (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 inference('eq_elim', [status(thm)], [zip_derived_cl3])).
% 0.42/1.04 thf(zip_derived_cl4, plain,
% 0.42/1.04 (( (mvalid @
% 0.42/1.04 (mforall_prop @
% 0.42/1.04 (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @ (mbox @ '#sk2' @ Y0)))))
% 0.42/1.04 | (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 inference('eq_elim', [status(thm)], [zip_derived_cl3])).
% 0.42/1.04 thf(zip_derived_cl29, plain,
% 0.42/1.04 ((~ ('#form4')
% 0.42/1.04 | (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 define([status(thm)])).
% 0.42/1.04 thf(zip_derived_cl3, plain,
% 0.42/1.04 (((mvalid @
% 0.42/1.04 (mforall_prop @
% 0.42/1.04 (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @ (mbox @ '#sk2' @ Y0)))))
% 0.42/1.04 != (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 inference('simplify nested equalities', [status(thm)], [zip_derived_cl2])).
% 0.42/1.04 thf(zip_derived_cl5, plain,
% 0.42/1.04 ((~ (mvalid @
% 0.42/1.04 (mforall_prop @
% 0.42/1.04 (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @ (mbox @ '#sk2' @ Y0)))))
% 0.42/1.04 | ~ (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 inference('eq_elim', [status(thm)], [zip_derived_cl3])).
% 0.42/1.04 thf(mvalid, axiom, ~ (mvalid @ X0) =>
% 0.42/1.04 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))).
% 0.42/1.04 thf('0', plain,
% 0.42/1.04 (![X0:( $i > $o )]:
% 0.42/1.04 ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )),
% 0.42/1.04 inference('rw.lit', [status(esa)], [mvalid])).
% 0.42/1.04 thf(zip_derived_cl6, plain,
% 0.42/1.04 ((~ (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (mforall_prop @
% 0.42/1.04 (^[Y1 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y1) @
% 0.42/1.04 (mbox @ '#sk2' @ Y1))) @
% 0.42/1.04 Y0))))
% 0.42/1.04 | ~ (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl5, '0'])).
% 0.42/1.04 thf(zip_derived_cl7, plain,
% 0.42/1.04 ((~ (mforall_prop @
% 0.42/1.04 (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @ (mbox @ '#sk2' @ Y0))) @
% 0.42/1.04 '#sk3')
% 0.42/1.04 | ~ (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])).
% 0.42/1.04 thf(zip_derived_cl8, plain,
% 0.42/1.04 (( ('#form4')
% 0.42/1.04 | ~ (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 define([status(thm)])).
% 0.42/1.04 thf(zip_derived_cl31, plain,
% 0.42/1.04 (( ('#form4')
% 0.42/1.04 | (mvalid @
% 0.42/1.04 (mforall_prop @
% 0.42/1.04 (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @ (mbox @ '#sk2' @ Y0))))))),
% 0.42/1.04 inference('renaming', [status(thm)],
% 0.42/1.04 [zip_derived_cl4, zip_derived_cl29, zip_derived_cl8])).
% 0.42/1.04 thf(mvalid, axiom, (mvalid @ X0) =>
% 0.42/1.04 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
% 0.42/1.04 thf('1', plain,
% 0.42/1.04 (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
% 0.42/1.04 inference('rw.lit', [status(esa)], [mvalid])).
% 0.42/1.04 thf(zip_derived_cl32, plain,
% 0.42/1.04 (( (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (mforall_prop @
% 0.42/1.04 (^[Y1 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y1) @
% 0.42/1.04 (mbox @ '#sk2' @ Y1))) @
% 0.42/1.04 Y0))))
% 0.42/1.04 | ('#form4'))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl31, '1'])).
% 0.42/1.04 thf(zip_derived_cl34, plain,
% 0.42/1.04 (![X2 : $i]:
% 0.42/1.04 ( (mforall_prop @
% 0.42/1.04 (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @ (mbox @ '#sk2' @ Y0))) @
% 0.42/1.04 X2)
% 0.42/1.04 | ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])).
% 0.42/1.04 thf(mforall_prop, axiom, (mforall_prop @ X0 @ X1) =>
% 0.42/1.04 ((((!!) @ (^[Y0 : $i > $o]: (X0 @ Y0 @ X1)))) = ($true))).
% 0.42/1.04 thf('2', plain,
% 0.42/1.04 (![X0:( ( $i > $o ) > $i > $o ),X1:$i]:
% 0.42/1.04 ( ( mforall_prop @ X0 @ X1 ) <=> ( ![X6:( $i > $o )]: ( X0 @ X6 @ X1 ) ) )),
% 0.42/1.04 inference('rw.lit', [status(esa)], [mforall_prop])).
% 0.42/1.04 thf(zip_derived_cl36, plain,
% 0.42/1.04 (![X0 : $i]:
% 0.42/1.04 ( (((!!) @ (^[Y0 : $i > $o]:
% 0.42/1.04 ((^[Y1 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y1) @
% 0.42/1.04 (mbox @ '#sk2' @ Y1))) @
% 0.42/1.04 Y0 @ X0))))
% 0.42/1.04 | ('#form4'))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl34, '2'])).
% 0.42/1.04 thf(zip_derived_cl37, plain,
% 0.42/1.04 (![X0 : $i]:
% 0.42/1.04 ( (((!!) @ (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @
% 0.42/1.04 (mbox @ '#sk2' @ Y0) @ X0))))
% 0.42/1.04 | ('#form4'))),
% 0.42/1.04 inference('ho_norm', [status(thm)], [zip_derived_cl36])).
% 0.42/1.04 thf(zip_derived_cl38, plain,
% 0.42/1.04 (![X0 : $i, X2 : $i > $o]:
% 0.42/1.04 ( (mimplies @ (mbox @ '#sk1' @ X2) @ (mbox @ '#sk2' @ X2) @ X0)
% 0.42/1.04 | ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl37])).
% 0.42/1.04 thf(mimplies, axiom,(( mimplies @ (X0)@ (X1)@ (X2)) =
% 0.42/1.04 ((mor @ (mnot @ X0) @ X1 @ X2)))).
% 0.42/1.04 thf('3', plain,
% 0.42/1.04 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 0.42/1.04 ( ( mimplies @ X0 @ X1 @ X2 ) = ( mor @ ( mnot @ X0 ) @ X1 @ X2 ) )),
% 0.42/1.04 define([status(thm)])).
% 0.42/1.04 thf(zip_derived_cl39, plain,
% 0.42/1.04 (![X0 : $i, X2 : $i > $o]:
% 0.42/1.04 ( (mor @ (mnot @ (mbox @ '#sk1' @ X2)) @ (mbox @ '#sk2' @ X2) @ X0)
% 0.42/1.04 | ('#form4'))),
% 0.42/1.04 inference('rw', [status(thm)], [zip_derived_cl38, '3'])).
% 0.42/1.04 thf(mor, axiom, (mor @ X0 @ X1 @ X2) =>
% 0.42/1.04 ((((X1 @ X2) | (X0 @ X2))) = ($true))).
% 0.42/1.04 thf('4', plain,
% 0.42/1.04 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 0.42/1.04 ( ( mor @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) | ( X1 @ X2 ) ) )),
% 0.42/1.04 inference('rw.lit', [status(esa)], [mor])).
% 0.42/1.04 thf(zip_derived_cl40, plain,
% 0.42/1.04 (![X0 : $i > $o, X1 : $i]:
% 0.42/1.04 ( (((mbox @ '#sk2' @ X0 @ X1) | (mnot @ (mbox @ '#sk1' @ X0) @ X1)))
% 0.42/1.04 | ('#form4'))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl39, '4'])).
% 0.42/1.04 thf(zip_derived_cl41, plain,
% 0.42/1.04 (![X0 : $i > $o, X1 : $i]:
% 0.42/1.04 ( (mbox @ '#sk2' @ X0 @ X1)
% 0.42/1.04 | (mnot @ (mbox @ '#sk1' @ X0) @ X1)
% 0.42/1.04 | ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl40])).
% 0.42/1.04 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
% 0.42/1.04 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) =
% 0.42/1.04 ($true))).
% 0.42/1.04 thf('5', plain,
% 0.42/1.04 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 0.42/1.04 ( ( mbox @ X0 @ X1 @ X2 ) <=>
% 0.42/1.04 ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )),
% 0.42/1.04 inference('rw.lit', [status(esa)], [mbox])).
% 0.42/1.04 thf(zip_derived_cl42, plain,
% 0.42/1.04 (![X0 : $i, X1 : $i > $o]:
% 0.42/1.04 ( (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk2' @ X0 @ Y0))) | (X1 @ Y0))))))
% 0.42/1.04 | ('#form4')
% 0.42/1.04 | (mnot @ (mbox @ '#sk1' @ X1) @ X0))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl41, '5'])).
% 0.42/1.04 thf(mnot, axiom, (mnot @ X0 @ X1) => ((X0 @ X1) != ($true))).
% 0.42/1.04 thf('6', plain,
% 0.42/1.04 (![X0:( $i > $o ),X1:$i]: ( ( mnot @ X0 @ X1 ) <=> ( ~( X0 @ X1 ) ) )),
% 0.42/1.04 inference('rw.lit', [status(esa)], [mnot])).
% 0.42/1.04 thf(zip_derived_cl43, plain,
% 0.42/1.04 (![X0 : $i > $o, X1 : $i]:
% 0.42/1.04 (~ (mbox @ '#sk1' @ X0 @ X1)
% 0.42/1.04 | ('#form4')
% 0.42/1.04 | (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk2' @ X1 @ Y0))) | (X0 @ Y0)))))))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl42, '6'])).
% 0.42/1.04 thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
% 0.42/1.04 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) !=
% 0.42/1.04 ($true))).
% 0.42/1.04 thf('7', plain,
% 0.42/1.04 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 0.42/1.04 ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
% 0.42/1.04 ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )),
% 0.42/1.04 inference('rw.lit', [status(esa)], [mbox])).
% 0.42/1.04 thf(zip_derived_cl44, plain,
% 0.42/1.04 (![X0 : $i > $o, X1 : $i]:
% 0.42/1.04 (~ (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk1' @ X1 @ Y0))) | (X0 @ Y0))))))
% 0.42/1.04 | (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk2' @ X1 @ Y0))) | (X0 @ Y0))))))
% 0.42/1.04 | ('#form4'))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl43, '7'])).
% 0.42/1.04 thf(zip_derived_cl45, plain,
% 0.42/1.04 (![X0 : $i > $o, X1 : $i]:
% 0.42/1.04 (~ (((((~) @ ('#sk1' @ X1 @ ('#sk23' @ X0 @ X1)))) | (X0 @
% 0.42/1.04 ('#sk23' @ X0 @ X1))))
% 0.42/1.04 | ('#form4')
% 0.42/1.04 | (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk2' @ X1 @ Y0))) | (X0 @ Y0)))))))),
% 0.42/1.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl44])).
% 0.42/1.04 thf(zip_derived_cl47, plain,
% 0.42/1.04 (![X0 : $i > $o, X1 : $i]:
% 0.42/1.04 (~ (X0 @ ('#sk23' @ X0 @ X1))
% 0.42/1.04 | (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk2' @ X1 @ Y0))) | (X0 @ Y0))))))
% 0.42/1.04 | ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl45])).
% 0.42/1.04 thf(zip_derived_cl49, plain,
% 0.42/1.04 (![X0 : $i > $o, X1 : $i, X3 : $i]:
% 0.42/1.04 ( (((((~) @ ('#sk2' @ X1 @ X3))) | (X0 @ X3)))
% 0.42/1.04 | ('#form4')
% 0.42/1.04 | ~ (X0 @ ('#sk23' @ X0 @ X1)))),
% 0.42/1.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl47])).
% 0.42/1.04 thf(zip_derived_cl51, plain,
% 0.42/1.04 (![X0 : $i > $o, X1 : $i, X3 : $i]:
% 0.42/1.04 (~ ('#sk2' @ X1 @ X3)
% 0.42/1.04 | (X0 @ X3)
% 0.42/1.04 | ~ (X0 @ ('#sk23' @ X0 @ X1))
% 0.42/1.04 | ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl49])).
% 0.42/1.04 thf(zip_derived_cl7, plain,
% 0.42/1.04 ((~ (mforall_prop @
% 0.42/1.04 (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @ (mbox @ '#sk2' @ Y0))) @
% 0.42/1.04 '#sk3')
% 0.42/1.04 | ~ (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])).
% 0.42/1.04 thf(zip_derived_cl8, plain,
% 0.42/1.04 (( ('#form4')
% 0.42/1.04 | ~ (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 define([status(thm)])).
% 0.42/1.04 thf(zip_derived_cl10, plain,
% 0.42/1.04 ((~ ('#form4')
% 0.42/1.04 | ~ (mforall_prop @
% 0.42/1.04 (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @ (mbox @ '#sk2' @ Y0))) @
% 0.42/1.04 '#sk3'))),
% 0.42/1.04 inference('renaming', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 0.42/1.04 thf(mforall_prop, axiom, ~ (mforall_prop @ X0 @ X1) =>
% 0.42/1.04 ((((!!) @ (^[Y0 : $i > $o]: (X0 @ Y0 @ X1)))) != ($true))).
% 0.42/1.04 thf('8', plain,
% 0.42/1.04 (![X0:( ( $i > $o ) > $i > $o ),X1:$i]:
% 0.42/1.04 ( ( ~( mforall_prop @ X0 @ X1 ) ) <=>
% 0.42/1.04 ( ~( ![X6:( $i > $o )]: ( X0 @ X6 @ X1 ) ) ) )),
% 0.42/1.04 inference('rw.lit', [status(esa)], [mforall_prop])).
% 0.42/1.04 thf(zip_derived_cl11, plain,
% 0.42/1.04 ((~ (((!!) @ (^[Y0 : $i > $o]:
% 0.42/1.04 ((^[Y1 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y1) @
% 0.42/1.04 (mbox @ '#sk2' @ Y1))) @
% 0.42/1.04 Y0 @ '#sk3'))))
% 0.42/1.04 | ~ ('#form4'))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl10, '8'])).
% 0.42/1.04 thf(zip_derived_cl13, plain,
% 0.42/1.04 ((~ (((!!) @ (^[Y0 : $i > $o]:
% 0.42/1.04 (mimplies @ (mbox @ '#sk1' @ Y0) @
% 0.42/1.04 (mbox @ '#sk2' @ Y0) @ '#sk3'))))
% 0.42/1.04 | ~ ('#form4'))),
% 0.42/1.04 inference('ho_norm', [status(thm)], [zip_derived_cl11])).
% 0.42/1.04 thf(zip_derived_cl14, plain,
% 0.42/1.04 ((~ (mimplies @ (mbox @ '#sk1' @ '#sk7') @ (mbox @ '#sk2' @ '#sk7') @
% 0.42/1.04 '#sk3')
% 0.42/1.04 | ~ ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl13])).
% 0.42/1.04 thf(zip_derived_cl17, plain,
% 0.42/1.04 ((~ (mor @ (mnot @ (mbox @ '#sk1' @ '#sk7')) @
% 0.42/1.04 (mbox @ '#sk2' @ '#sk7') @ '#sk3')
% 0.42/1.04 | ~ ('#form4'))),
% 0.42/1.04 inference('rw', [status(thm)], [zip_derived_cl14, '3'])).
% 0.42/1.04 thf(mor, axiom, ~ (mor @ X0 @ X1 @ X2) =>
% 0.42/1.04 ((((X1 @ X2) | (X0 @ X2))) != ($true))).
% 0.42/1.04 thf('9', plain,
% 0.42/1.04 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 0.42/1.04 ( ( ~( mor @ X0 @ X1 @ X2 ) ) <=> ( ~( ( X1 @ X2 ) | ( X0 @ X2 ) ) ) )),
% 0.42/1.04 inference('rw.lit', [status(esa)], [mor])).
% 0.42/1.04 thf(zip_derived_cl18, plain,
% 0.42/1.04 ((~ (((mbox @ '#sk2' @ '#sk7' @ '#sk3') | (mnot @
% 0.42/1.04 (mbox @ '#sk1' @ '#sk7') @ '#sk3')))
% 0.42/1.04 | ~ ('#form4'))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl17, '9'])).
% 0.42/1.04 thf(zip_derived_cl20, plain,
% 0.42/1.04 ((~ (mnot @ (mbox @ '#sk1' @ '#sk7') @ '#sk3') | ~ ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl18])).
% 0.42/1.04 thf(mnot, axiom, ~ (mnot @ X0 @ X1) => ((X0 @ X1) = ($true))).
% 0.42/1.04 thf('10', plain,
% 0.42/1.04 (![X0:( $i > $o ),X1:$i]: ( ( ~( mnot @ X0 @ X1 ) ) <=> ( X0 @ X1 ) )),
% 0.42/1.04 inference('rw.lit', [status(esa)], [mnot])).
% 0.42/1.04 thf(zip_derived_cl22, plain,
% 0.42/1.04 (( (mbox @ '#sk1' @ '#sk7' @ '#sk3') | ~ ('#form4'))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl20, '10'])).
% 0.42/1.04 thf(zip_derived_cl24, plain,
% 0.42/1.04 (( (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((((~) @ ('#sk1' @ '#sk3' @ Y0))) | ('#sk7' @ Y0))))))
% 0.42/1.04 | ~ ('#form4'))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl22, '5'])).
% 0.42/1.04 thf(zip_derived_cl27, plain,
% 0.42/1.04 (![X2 : $i]:
% 0.42/1.04 ( (((((~) @ ('#sk1' @ '#sk3' @ X2))) | ('#sk7' @ X2))) | ~ ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])).
% 0.42/1.04 thf(zip_derived_cl28, plain,
% 0.42/1.04 (![X2 : $i]: (~ ('#sk1' @ '#sk3' @ X2) | ('#sk7' @ X2) | ~ ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])).
% 0.42/1.04 thf(zip_derived_cl19, plain,
% 0.42/1.04 ((~ (mbox @ '#sk2' @ '#sk7' @ '#sk3') | ~ ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl18])).
% 0.42/1.04 thf(zip_derived_cl21, plain,
% 0.42/1.04 ((~ (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((((~) @ ('#sk2' @ '#sk3' @ Y0))) | ('#sk7' @ Y0))))))
% 0.42/1.04 | ~ ('#form4'))),
% 0.42/1.04 inference('rw_clause', [status(thm)], [zip_derived_cl19, '7'])).
% 0.42/1.04 thf(zip_derived_cl23, plain,
% 0.42/1.04 ((~ (((((~) @ ('#sk2' @ '#sk3' @ '#sk8'))) | ('#sk7' @ '#sk8')))
% 0.42/1.04 | ~ ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])).
% 0.42/1.04 thf(zip_derived_cl25, plain, (( ('#sk2' @ '#sk3' @ '#sk8') | ~ ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 0.42/1.04 thf(zip_derived_cl29, plain,
% 0.42/1.04 ((~ ('#form4')
% 0.42/1.04 | (((!!) @ (^[Y0 : $i]:
% 0.42/1.04 (((!!) @ (^[Y1 : $i]:
% 0.42/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 0.42/1.04 define([status(thm)])).
% 0.42/1.04 thf(zip_derived_cl30, plain,
% 0.42/1.04 (![X2 : $i]:
% 0.42/1.04 ( (((!!) @ (^[Y0 : $i]: ((('#sk2' @ X2 @ Y0) => ('#sk1' @ X2 @ Y0))))))
% 0.42/1.04 | ~ ('#form4'))),
% 0.42/1.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])).
% 0.42/1.04 thf(zip_derived_cl33, plain,
% 3.81/1.04 (![X2 : $i, X4 : $i]:
% 3.81/1.04 ( ((('#sk2' @ X2 @ X4) => ('#sk1' @ X2 @ X4))) | ~ ('#form4'))),
% 3.81/1.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])).
% 3.81/1.04 thf(zip_derived_cl35, plain,
% 3.81/1.04 (![X2 : $i, X4 : $i]:
% 3.81/1.04 (~ ('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4) | ~ ('#form4'))),
% 3.81/1.04 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])).
% 3.81/1.04 thf(zip_derived_cl59, plain,
% 3.81/1.04 ((~ ('#form4') | ~ ('#form4') | ('#sk1' @ '#sk3' @ '#sk8'))),
% 3.81/1.04 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl35])).
% 3.81/1.04 thf(zip_derived_cl69, plain, (( ('#sk1' @ '#sk3' @ '#sk8') | ~ ('#form4'))),
% 3.81/1.04 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 3.81/1.04 thf(zip_derived_cl77, plain,
% 3.81/1.04 ((~ ('#form4') | ('#sk7' @ '#sk8') | ~ ('#form4'))),
% 3.81/1.04 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl69])).
% 3.81/1.04 thf(zip_derived_cl80, plain, (( ('#sk7' @ '#sk8') | ~ ('#form4'))),
% 3.81/1.04 inference('simplify', [status(thm)], [zip_derived_cl77])).
% 3.81/1.04 thf(zip_derived_cl26, plain, ((~ ('#sk7' @ '#sk8') | ~ ('#form4'))),
% 3.81/1.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 3.81/1.04 thf(zip_derived_cl84, plain, (~ ('#form4')),
% 3.81/1.04 inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl26])).
% 3.81/1.04 thf(zip_derived_cl136, plain,
% 3.81/1.04 (![X0 : $i > $o, X1 : $i, X3 : $i]:
% 3.81/1.04 (~ ('#sk2' @ X1 @ X3) | (X0 @ X3) | ~ (X0 @ ('#sk23' @ X0 @ X1)))),
% 3.81/1.04 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl84])).
% 3.81/1.04 thf(zip_derived_cl8, plain,
% 3.81/1.04 (( ('#form4')
% 3.81/1.04 | ~ (((!!) @ (^[Y0 : $i]:
% 3.81/1.04 (((!!) @ (^[Y1 : $i]:
% 3.81/1.04 ((('#sk2' @ Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))),
% 3.81/1.04 define([status(thm)])).
% 3.81/1.04 thf(zip_derived_cl9, plain,
% 3.81/1.04 ((~ (((!!) @ (^[Y0 : $i]:
% 3.81/1.04 ((('#sk2' @ '#sk5' @ Y0) => ('#sk1' @ '#sk5' @ Y0))))))
% 3.81/1.04 | ('#form4'))),
% 3.81/1.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])).
% 3.81/1.04 thf(zip_derived_cl12, plain,
% 3.81/1.04 ((~ ((('#sk2' @ '#sk5' @ '#sk6') => ('#sk1' @ '#sk5' @ '#sk6')))
% 3.81/1.04 | ('#form4'))),
% 3.81/1.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 3.81/1.04 thf(zip_derived_cl15, plain, (( ('#sk2' @ '#sk5' @ '#sk6') | ('#form4'))),
% 3.81/1.04 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
% 3.81/1.04 thf(zip_derived_cl84, plain, (~ ('#form4')),
% 3.81/1.04 inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl26])).
% 3.81/1.04 thf(zip_derived_cl85, plain, ( ('#sk2' @ '#sk5' @ '#sk6')),
% 3.81/1.04 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl84])).
% 3.81/1.04 thf(zip_derived_cl143, plain,
% 3.81/1.04 (![X0 : $i > $o]: (~ (X0 @ ('#sk23' @ X0 @ '#sk5')) | (X0 @ '#sk6'))),
% 3.81/1.04 inference('sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl85])).
% 3.81/1.04 thf(zip_derived_cl274, plain,
% 3.81/1.04 ((~ ((^[Y0 : $i]: ((('#sk6') != (Y0)))) @
% 3.81/1.04 ('#sk23' @ (^[Y0 : $i]: ((('#sk6') != (Y0)))) @ '#sk5'))
% 3.81/1.04 | ((^[Y0 : $i]: ((('#sk6') != (Y0)))) @ '#sk6'))),
% 3.81/1.04 inference('elim_leibniz_eq_+', [status(thm)], [zip_derived_cl143])).
% 3.81/1.04 thf(zip_derived_cl284, plain,
% 3.81/1.04 ((~ ((('#sk6') != ('#sk23' @ ((($i) != ('#sk6'))) @ '#sk5')))
% 3.81/1.04 | ((('#sk6') != ('#sk6'))))),
% 3.81/1.04 inference('ho_norm', [status(thm)], [zip_derived_cl274])).
% 3.81/1.04 thf(zip_derived_cl285, plain,
% 3.81/1.04 (~ ((('#sk6') != ('#sk23' @ ((($i) != ('#sk6'))) @ '#sk5')))),
% 3.81/1.04 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl284])).
% 3.81/1.04 thf(zip_derived_cl286, plain,
% 3.81/1.04 ((('#sk6') = ('#sk23' @ ((($i) != ('#sk6'))) @ '#sk5'))),
% 3.81/1.04 inference('simplify nested equalities', [status(thm)],
% 3.81/1.04 [zip_derived_cl285])).
% 3.81/1.04 thf(zip_derived_cl46, plain,
% 3.81/1.04 (![X0 : $i > $o, X1 : $i]:
% 3.81/1.04 ( ('#sk1' @ X1 @ ('#sk23' @ X0 @ X1))
% 3.81/1.04 | (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk2' @ X1 @ Y0))) | (X0 @ Y0))))))
% 3.81/1.04 | ('#form4'))),
% 3.81/1.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl45])).
% 3.81/1.04 thf(zip_derived_cl48, plain,
% 3.81/1.04 (![X0 : $i > $o, X1 : $i, X3 : $i]:
% 3.81/1.04 ( (((((~) @ ('#sk2' @ X1 @ X3))) | (X0 @ X3)))
% 3.81/1.04 | ('#form4')
% 3.81/1.04 | ('#sk1' @ X1 @ ('#sk23' @ X0 @ X1)))),
% 3.81/1.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl46])).
% 3.81/1.04 thf(zip_derived_cl50, plain,
% 3.81/1.04 (![X0 : $i > $o, X1 : $i, X3 : $i]:
% 3.81/1.04 (~ ('#sk2' @ X1 @ X3)
% 3.81/1.04 | (X0 @ X3)
% 3.81/1.04 | ('#sk1' @ X1 @ ('#sk23' @ X0 @ X1))
% 3.81/1.04 | ('#form4'))),
% 3.81/1.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl48])).
% 3.81/1.04 thf(zip_derived_cl84, plain, (~ ('#form4')),
% 3.81/1.04 inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl26])).
% 3.81/1.04 thf(zip_derived_cl87, plain,
% 3.81/1.04 (![X0 : $i > $o, X1 : $i, X3 : $i]:
% 3.81/1.04 (~ ('#sk2' @ X1 @ X3)
% 3.81/1.04 | (X0 @ X3)
% 3.81/1.04 | ('#sk1' @ X1 @ ('#sk23' @ X0 @ X1)))),
% 3.81/1.04 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl84])).
% 3.81/1.04 thf(zip_derived_cl374, plain,
% 3.81/1.04 (![X0 : $i]:
% 3.81/1.04 ( ('#sk1' @ '#sk5' @ '#sk6')
% 3.81/1.04 | ((('#sk6') != (X0)))
% 3.81/1.04 | ~ ('#sk2' @ '#sk5' @ X0))),
% 3.81/1.04 inference('sup+', [status(thm)], [zip_derived_cl286, zip_derived_cl87])).
% 3.81/1.04 thf(zip_derived_cl16, plain, ((~ ('#sk1' @ '#sk5' @ '#sk6') | ('#form4'))),
% 3.81/1.04 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
% 3.81/1.04 thf(zip_derived_cl84, plain, (~ ('#form4')),
% 3.81/1.04 inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl26])).
% 3.81/1.04 thf(zip_derived_cl86, plain, (~ ('#sk1' @ '#sk5' @ '#sk6')),
% 3.81/1.04 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl84])).
% 3.81/1.04 thf(zip_derived_cl382, plain,
% 3.81/1.04 (![X0 : $i]: ( ((('#sk6') != (X0))) | ~ ('#sk2' @ '#sk5' @ X0))),
% 3.81/1.04 inference('demod', [status(thm)], [zip_derived_cl374, zip_derived_cl86])).
% 3.81/1.04 thf(zip_derived_cl383, plain,
% 3.81/1.04 (![X0 : $i]: ((('#sk6') != (X0)) | ~ ('#sk2' @ '#sk5' @ X0))),
% 3.81/1.04 inference('simplify nested equalities', [status(thm)],
% 3.81/1.04 [zip_derived_cl382])).
% 3.81/1.04 thf(zip_derived_cl384, plain, (~ ('#sk2' @ '#sk5' @ '#sk6')),
% 3.81/1.04 inference('simplify', [status(thm)], [zip_derived_cl383])).
% 3.81/1.04 thf(zip_derived_cl85, plain, ( ('#sk2' @ '#sk5' @ '#sk6')),
% 3.81/1.04 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl84])).
% 3.81/1.04 thf(zip_derived_cl393, plain, ($false),
% 3.81/1.04 inference('demod', [status(thm)], [zip_derived_cl384, zip_derived_cl85])).
% 3.81/1.04
% 3.81/1.04 % SZS output end Refutation
% 3.81/1.04
% 3.81/1.04
% 3.81/1.04 % Terminating...
% 3.81/1.10 % Runner terminated.
% 3.81/1.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------