%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV221^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mPPkDOLuDP true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:57:24 PM UTC 2025
% Result : Theorem 3.62s 1.37s
% Output : Refutation 3.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEV221^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mPPkDOLuDP true
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 15:36:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.57/0.67 % Total configuration time : 828
% 0.57/0.67 % Estimated wc time : 1656
% 0.57/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.81 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.83 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.84 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.86 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.87 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.89 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.90 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 3.62/1.37 % Solved by lams/35_full_unif4.sh.
% 3.62/1.37 % done 88 iterations in 0.501s
% 3.62/1.37 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.62/1.37 % SZS output start Refutation
% 3.62/1.37 thf(a_type, type, a: $tType).
% 3.62/1.37 thf(cW_type, type, cW: (a > $o) > $o).
% 3.62/1.37 thf('#sk1_type', type, '#sk1': a).
% 3.62/1.37 thf('#form60_type', type, '#form60': $o).
% 3.62/1.37 thf('#sk61_type', type, '#sk61': a > $o).
% 3.62/1.37 thf('#sk2_type', type, '#sk2': a > $o).
% 3.62/1.37 thf(cZ_type, type, cZ: a > $o).
% 3.62/1.37 thf('#sk268_type', type, '#sk268': a > $o).
% 3.62/1.37 thf(cTHM61_pme, conjecture,
% 3.62/1.37 (![Xx:a]:
% 3.62/1.37 ( ( ( cZ @ Xx ) & ( ?[S:( a > $o )]: ( ( cW @ S ) & ( S @ Xx ) ) ) ) <=>
% 3.62/1.37 ( ?[S:( a > $o )]:
% 3.62/1.37 ( ( ?[Xt:( a > $o )]:
% 3.62/1.37 ( ( cW @ Xt ) &
% 3.62/1.37 ( ( S ) = ( ^[Xx0:a]: ( ( Xt @ Xx0 ) & ( cZ @ Xx0 ) ) ) ) ) ) &
% 3.62/1.37 ( S @ Xx ) ) ) ))).
% 3.62/1.37 thf(zf_stmt_0, negated_conjecture,
% 3.62/1.37 (~( ![Xx:a]:
% 3.62/1.37 ( ( ( cZ @ Xx ) & ( ?[S:( a > $o )]: ( ( cW @ S ) & ( S @ Xx ) ) ) ) <=>
% 3.62/1.37 ( ?[S:( a > $o )]:
% 3.62/1.37 ( ( ?[Xt:( a > $o )]:
% 3.62/1.37 ( ( cW @ Xt ) &
% 3.62/1.37 ( ( S ) = ( ^[Xx0:a]: ( ( Xt @ Xx0 ) & ( cZ @ Xx0 ) ) ) ) ) ) &
% 3.62/1.37 ( S @ Xx ) ) ) ) )),
% 3.62/1.37 inference('cnf.neg', [status(esa)], [cTHM61_pme])).
% 3.62/1.37 thf(zip_derived_cl0, plain,
% 3.62/1.37 (~ (((!!) @ (^[Y0 : a]:
% 3.62/1.37 (((((cZ @ Y0) &
% 3.62/1.37 (((??) @ (^[Y1 : a > $o]: (((cW @ Y1) & (Y1 @ Y0)))))))) <=>
% 3.62/1.37 (((??) @ (^[Y1 : a > $o]:
% 3.62/1.37 (((((??) @ (^[Y2 : a > $o]:
% 3.62/1.37 (((cW @ Y2) &
% 3.62/1.37 (((Y1) =
% 3.62/1.37 ((^[Y3 : a]:
% 3.62/1.37 (((Y2 @ Y3) & (cZ @
% 3.62/1.37 Y3)))))))))))) &
% 3.62/1.37 (Y1 @ Y0)))))))))))),
% 3.62/1.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.62/1.37 thf(zip_derived_cl1, plain,
% 3.62/1.37 (~ (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))) <=>
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((((??) @ (^[Y1 : a > $o]:
% 3.62/1.37 (((cW @ Y1) &
% 3.62/1.37 (((Y0) =
% 3.62/1.37 ((^[Y2 : a]: (((Y1 @ Y2) & (cZ @ Y2)))))))))))) &
% 3.62/1.37 (Y0 @ '#sk1'))))))))),
% 3.62/1.37 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 3.62/1.37 thf(zip_derived_cl2, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((((??) @ (^[Y1 : a > $o]:
% 3.62/1.37 (((cW @ Y1) &
% 3.62/1.37 (((Y0) =
% 3.62/1.37 ((^[Y2 : a]:
% 3.62/1.37 (((Y1 @ Y2) & (cZ @ Y2)))))))))))) &
% 3.62/1.37 (Y0 @ '#sk1')))))))),
% 3.62/1.37 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])).
% 3.62/1.37 thf(zip_derived_cl5, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != ((^[Y0 : a > $o]:
% 3.62/1.37 (((((??) @ (^[Y1 : a > $o]:
% 3.62/1.37 (((cW @ (^[Y2 : a]: (Y1 @ Y2))) &
% 3.62/1.37 ((((^[Y2 : a]: (Y0 @ Y2))) =
% 3.62/1.37 ((^[Y2 : a]: (((Y1 @ Y2) & (cZ @ Y2)))))))))))) &
% 3.62/1.37 (Y0 @ '#sk1')))) @
% 3.62/1.37 '#sk2'))),
% 3.62/1.37 inference('quantifier_rw', [status(thm)], [zip_derived_cl2])).
% 3.62/1.37 thf(zip_derived_cl6, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 ((('#sk2') =
% 3.62/1.37 ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))) &
% 3.62/1.37 ('#sk2' @ '#sk1'))))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl5])).
% 3.62/1.37 thf(zip_derived_cl6, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 ((('#sk2') =
% 3.62/1.37 ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))) &
% 3.62/1.37 ('#sk2' @ '#sk1'))))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl5])).
% 3.62/1.37 thf(zip_derived_cl20, plain,
% 3.62/1.37 (( ('#sk2' @ '#sk1')
% 3.62/1.37 | ((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 ((('#sk2') =
% 3.62/1.37 ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))) &
% 3.62/1.37 ($false)))))),
% 3.62/1.37 inference('bool_hoist', [status(thm)], [zip_derived_cl6])).
% 3.62/1.37 thf(zip_derived_cl21, plain,
% 3.62/1.37 (( ('#sk2' @ '#sk1')
% 3.62/1.37 | (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl20])).
% 3.62/1.37 thf(zip_derived_cl21, plain,
% 3.62/1.37 (( ('#sk2' @ '#sk1')
% 3.62/1.37 | (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl20])).
% 3.62/1.37 thf(zip_derived_cl33, plain,
% 3.62/1.37 ((~ ('#form60')
% 3.62/1.37 | (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 define([status(thm)])).
% 3.62/1.37 thf(zip_derived_cl36, plain, (( ('#form60') | ('#sk2' @ '#sk1'))),
% 3.62/1.37 inference('renaming', [status(thm)], [zip_derived_cl21, zip_derived_cl33])).
% 3.62/1.37 thf(zip_derived_cl33, plain,
% 3.62/1.37 ((~ ('#form60')
% 3.62/1.37 | (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 define([status(thm)])).
% 3.62/1.37 thf(zip_derived_cl35, plain,
% 3.62/1.37 (( (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))
% 3.62/1.37 | ~ ('#form60'))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])).
% 3.62/1.37 thf(zip_derived_cl37, plain,
% 3.62/1.37 (( (((cW @ '#sk61') & ('#sk61' @ '#sk1'))) | ~ ('#form60'))),
% 3.62/1.37 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl35])).
% 3.62/1.37 thf(zip_derived_cl38, plain, (( (cW @ '#sk61') | ~ ('#form60'))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl37])).
% 3.62/1.37 thf(zip_derived_cl38, plain, (( (cW @ '#sk61') | ~ ('#form60'))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl37])).
% 3.62/1.37 thf(zip_derived_cl2, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((((??) @ (^[Y1 : a > $o]:
% 3.62/1.37 (((cW @ Y1) &
% 3.62/1.37 (((Y0) =
% 3.62/1.37 ((^[Y2 : a]:
% 3.62/1.37 (((Y1 @ Y2) & (cZ @ Y2)))))))))))) &
% 3.62/1.37 (Y0 @ '#sk1')))))))),
% 3.62/1.37 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])).
% 3.62/1.37 thf(zip_derived_cl3, plain,
% 3.62/1.37 (![X-81 : a > $o]:
% 3.62/1.37 (~ ((^[Y0 : a > $o]:
% 3.62/1.37 (((((??) @ (^[Y1 : a > $o]:
% 3.62/1.37 (((cW @ Y1) &
% 3.62/1.37 (((Y0) =
% 3.62/1.37 ((^[Y2 : a]: (((Y1 @ Y2) & (cZ @ Y2)))))))))))) &
% 3.62/1.37 (Y0 @ '#sk1')))) @
% 3.62/1.37 X-81)
% 3.62/1.37 | ~ (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 inference('exists_hoist', [status(thm)], [zip_derived_cl2])).
% 3.62/1.37 thf(zip_derived_cl7, plain,
% 3.62/1.37 (![X-81 : a > $o]:
% 3.62/1.37 (~ (((((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 (((X-81) = ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))) &
% 3.62/1.37 (X-81 @ '#sk1')))
% 3.62/1.37 | ~ (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl3])).
% 3.62/1.37 thf(zip_derived_cl8, plain,
% 3.62/1.37 (![X0 : a > $o]:
% 3.62/1.37 (~ (((((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 (((X0) = ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))) &
% 3.62/1.37 (X0 @ '#sk1')))
% 3.62/1.37 | ~ (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 inference('cannonize vars', [status(thm)], [zip_derived_cl7])).
% 3.62/1.37 thf(zip_derived_cl9, plain,
% 3.62/1.37 (![X0 : a > $o]:
% 3.62/1.37 (~ (((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 (((X0) = ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1))))))))))))
% 3.62/1.37 | ~ (X0 @ '#sk1')
% 3.62/1.37 | ~ (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl8])).
% 3.62/1.37 thf(zip_derived_cl10, plain,
% 3.62/1.37 (![X0 : a > $o, X2 : a > $o]:
% 3.62/1.37 (~ (((cW @ X2) & (((X0) = ((^[Y0 : a]: (((X2 @ Y0) & (cZ @ Y0)))))))))
% 3.62/1.37 | ~ (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 | ~ (X0 @ '#sk1'))),
% 3.62/1.37 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])).
% 3.62/1.37 thf(zip_derived_cl12, plain,
% 3.62/1.37 (![X0 : a > $o, X2 : a > $o]:
% 3.62/1.37 (~ (cW @ X2)
% 3.62/1.37 | ~ (((X0) = ((^[Y0 : a]: (((X2 @ Y0) & (cZ @ Y0)))))))
% 3.62/1.37 | ~ (X0 @ '#sk1')
% 3.62/1.37 | ~ (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])).
% 3.62/1.37 thf(zip_derived_cl13, plain,
% 3.62/1.37 (![X0 : a > $o, X2 : a > $o]:
% 3.62/1.37 (~ (cW @ X2)
% 3.62/1.37 | ((X0) != ((^[Y0 : a]: (((X2 @ Y0) & (cZ @ Y0))))))
% 3.62/1.37 | ~ (X0 @ '#sk1')
% 3.62/1.37 | ~ (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])).
% 3.62/1.37 thf(zip_derived_cl14, plain,
% 3.62/1.37 (![X0 : a > $o, X2 : a > $o]:
% 3.62/1.37 (~ (cZ @ '#sk1')
% 3.62/1.37 | ~ (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))
% 3.62/1.37 | ~ (X0 @ '#sk1')
% 3.62/1.37 | ((X0) != ((^[Y0 : a]: (((X2 @ Y0) & (cZ @ Y0))))))
% 3.62/1.37 | ~ (cW @ X2))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl13])).
% 3.62/1.37 thf(zip_derived_cl15, plain,
% 3.62/1.37 (![X0 : a > $o, X2 : a > $o, X4 : a > $o]:
% 3.62/1.37 (~ (((cW @ X4) & (X4 @ '#sk1')))
% 3.62/1.37 | ~ (cW @ X2)
% 3.62/1.37 | ((X0) != ((^[Y0 : a]: (((X2 @ Y0) & (cZ @ Y0))))))
% 3.62/1.37 | ~ (X0 @ '#sk1')
% 3.62/1.37 | ~ (cZ @ '#sk1'))),
% 3.62/1.37 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])).
% 3.62/1.37 thf(zip_derived_cl17, plain,
% 3.62/1.37 (![X0 : a > $o, X2 : a > $o, X4 : a > $o]:
% 3.62/1.37 (~ (cW @ X4)
% 3.62/1.37 | ~ (X4 @ '#sk1')
% 3.62/1.37 | ~ (cZ @ '#sk1')
% 3.62/1.37 | ~ (X0 @ '#sk1')
% 3.62/1.37 | ((X0) != ((^[Y0 : a]: (((X2 @ Y0) & (cZ @ Y0))))))
% 3.62/1.37 | ~ (cW @ X2))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
% 3.62/1.37 thf(zip_derived_cl197, plain,
% 3.62/1.37 (![X0 : a > $o, X1 : a > $o]:
% 3.62/1.37 (~ (cW @ X0)
% 3.62/1.37 | ~ ((^[Y0 : a]: (((X0 @ Y0) & (cZ @ Y0)))) @ '#sk1')
% 3.62/1.37 | ~ (cZ @ '#sk1')
% 3.62/1.37 | ~ (X1 @ '#sk1')
% 3.62/1.37 | ~ (cW @ X1))),
% 3.62/1.37 inference('eq_res', [status(thm)], [zip_derived_cl17])).
% 3.62/1.37 thf(zip_derived_cl198, plain,
% 3.62/1.37 (![X0 : a > $o, X1 : a > $o]:
% 3.62/1.37 (~ (cW @ X0)
% 3.62/1.37 | ~ (((X0 @ '#sk1') & (cZ @ '#sk1')))
% 3.62/1.37 | ~ (cZ @ '#sk1')
% 3.62/1.37 | ~ (X1 @ '#sk1')
% 3.62/1.37 | ~ (cW @ X1))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl197])).
% 3.62/1.37 thf(zip_derived_cl199, plain,
% 3.62/1.37 (![X0 : a > $o, X1 : a > $o]:
% 3.62/1.37 (~ (cW @ X0)
% 3.62/1.37 | ~ (((X0 @ '#sk1') & ($true)))
% 3.62/1.37 | ~ (cZ @ '#sk1')
% 3.62/1.37 | ~ (X1 @ '#sk1')
% 3.62/1.37 | ~ (cW @ X1))),
% 3.62/1.37 inference('local_rewriting', [status(thm)], [zip_derived_cl198])).
% 3.62/1.37 thf(zip_derived_cl200, plain,
% 3.62/1.37 (![X0 : a > $o, X1 : a > $o]:
% 3.62/1.37 (~ (cW @ X0)
% 3.62/1.37 | ~ (X0 @ '#sk1')
% 3.62/1.37 | ~ (cZ @ '#sk1')
% 3.62/1.37 | ~ (X1 @ '#sk1')
% 3.62/1.37 | ~ (cW @ X1))),
% 3.62/1.37 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl199])).
% 3.62/1.37 thf(zip_derived_cl204, plain,
% 3.62/1.37 (![X0 : a > $o]:
% 3.62/1.37 (~ ('#form60')
% 3.62/1.37 | ~ (cW @ X0)
% 3.62/1.37 | ~ (X0 @ '#sk1')
% 3.62/1.37 | ~ (cZ @ '#sk1')
% 3.62/1.37 | ~ ('#sk61' @ '#sk1'))),
% 3.62/1.37 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl200])).
% 3.62/1.37 thf(zip_derived_cl6, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 ((('#sk2') =
% 3.62/1.37 ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))) &
% 3.62/1.37 ('#sk2' @ '#sk1'))))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl5])).
% 3.62/1.37 thf(zip_derived_cl19, plain,
% 3.62/1.37 ((~ (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 | ~ (((((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 ((('#sk2') =
% 3.62/1.37 ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))) &
% 3.62/1.37 ('#sk2' @ '#sk1'))))),
% 3.62/1.37 inference('eq_elim', [status(thm)], [zip_derived_cl6])).
% 3.62/1.37 thf(zip_derived_cl44, plain,
% 3.62/1.37 (( ('#form60')
% 3.62/1.37 | ~ (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 define([status(thm)])).
% 3.62/1.37 thf(zip_derived_cl45, plain,
% 3.62/1.37 ((~ (cZ @ '#sk1')
% 3.62/1.37 | ~ (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))
% 3.62/1.37 | ('#form60'))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])).
% 3.62/1.37 thf(zip_derived_cl48, plain,
% 3.62/1.37 (![X2 : a > $o]:
% 3.62/1.37 (~ (((cW @ X2) & (X2 @ '#sk1'))) | ('#form60') | ~ (cZ @ '#sk1'))),
% 3.62/1.37 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl45])).
% 3.62/1.37 thf(zip_derived_cl52, plain,
% 3.62/1.37 (![X2 : a > $o]:
% 3.62/1.37 (~ (cW @ X2) | ~ (X2 @ '#sk1') | ~ (cZ @ '#sk1') | ('#form60'))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl48])).
% 3.62/1.37 thf(zip_derived_cl212, plain,
% 3.62/1.37 (![X0 : a > $o]:
% 3.62/1.37 (~ ('#sk61' @ '#sk1')
% 3.62/1.37 | ~ (cZ @ '#sk1')
% 3.62/1.37 | ~ (X0 @ '#sk1')
% 3.62/1.37 | ~ (cW @ X0))),
% 3.62/1.37 inference('clc', [status(thm)], [zip_derived_cl204, zip_derived_cl52])).
% 3.62/1.37 thf(zip_derived_cl213, plain,
% 3.62/1.37 ((~ ('#form60')
% 3.62/1.37 | ~ ('#sk61' @ '#sk1')
% 3.62/1.37 | ~ (cZ @ '#sk1')
% 3.62/1.37 | ~ ('#sk61' @ '#sk1'))),
% 3.62/1.37 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl212])).
% 3.62/1.37 thf(zip_derived_cl215, plain,
% 3.62/1.37 ((~ (cZ @ '#sk1') | ~ ('#sk61' @ '#sk1') | ~ ('#form60'))),
% 3.62/1.37 inference('simplify', [status(thm)], [zip_derived_cl213])).
% 3.62/1.37 thf(zip_derived_cl34, plain, (( (cZ @ '#sk1') | ~ ('#form60'))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])).
% 3.62/1.37 thf(zip_derived_cl217, plain, ((~ ('#form60') | ~ ('#sk61' @ '#sk1'))),
% 3.62/1.37 inference('clc', [status(thm)], [zip_derived_cl215, zip_derived_cl34])).
% 3.62/1.37 thf(zip_derived_cl39, plain, (( ('#sk61' @ '#sk1') | ~ ('#form60'))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl37])).
% 3.62/1.37 thf(zip_derived_cl218, plain, (~ ('#form60')),
% 3.62/1.37 inference('clc', [status(thm)], [zip_derived_cl217, zip_derived_cl39])).
% 3.62/1.37 thf(zip_derived_cl219, plain, ( ('#sk2' @ '#sk1')),
% 3.62/1.37 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl218])).
% 3.62/1.37 thf(zip_derived_cl223, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 ((('#sk2') =
% 3.62/1.37 ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))) &
% 3.62/1.37 ($true))))),
% 3.62/1.37 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl219])).
% 3.62/1.37 thf(zip_derived_cl224, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 ((('#sk2') = ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))))),
% 3.62/1.37 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl223])).
% 3.62/1.37 thf(zip_derived_cl229, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != ((^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ (^[Y1 : a]: (Y0 @ Y1))) &
% 3.62/1.37 ((((^[Y1 : a]: ('#sk2' @ Y1))) =
% 3.62/1.37 ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))) @
% 3.62/1.37 '#sk268'))),
% 3.62/1.37 inference('quantifier_rw', [status(thm)], [zip_derived_cl224])).
% 3.62/1.37 thf(zip_derived_cl230, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((cW @ '#sk268') &
% 3.62/1.37 ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0))))))))))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl229])).
% 3.62/1.37 thf(zip_derived_cl237, plain,
% 3.62/1.37 (( (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 | (((cW @ '#sk268') &
% 3.62/1.37 ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0))))))))))),
% 3.62/1.37 inference('eq_elim', [status(thm)], [zip_derived_cl230])).
% 3.62/1.37 thf(zip_derived_cl44, plain,
% 3.62/1.37 (( ('#form60')
% 3.62/1.37 | ~ (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 define([status(thm)])).
% 3.62/1.37 thf(zip_derived_cl33, plain,
% 3.62/1.37 ((~ ('#form60')
% 3.62/1.37 | (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 define([status(thm)])).
% 3.62/1.37 thf(zip_derived_cl277, plain,
% 3.62/1.37 (( ('#form60')
% 3.62/1.37 | (((cW @ '#sk268') &
% 3.62/1.37 ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0))))))))))),
% 3.62/1.37 inference('renaming', [status(thm)],
% 3.62/1.37 [zip_derived_cl237, zip_derived_cl44, zip_derived_cl33])).
% 3.62/1.37 thf(zip_derived_cl218, plain, (~ ('#form60')),
% 3.62/1.37 inference('clc', [status(thm)], [zip_derived_cl217, zip_derived_cl39])).
% 3.62/1.37 thf(zip_derived_cl278, plain,
% 3.62/1.37 ( (((cW @ '#sk268') &
% 3.62/1.37 ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0)))))))))),
% 3.62/1.37 inference('demod', [status(thm)], [zip_derived_cl277, zip_derived_cl218])).
% 3.62/1.37 thf(zip_derived_cl279, plain, ( (cW @ '#sk268')),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl278])).
% 3.62/1.37 thf(zip_derived_cl200, plain,
% 3.62/1.37 (![X0 : a > $o, X1 : a > $o]:
% 3.62/1.37 (~ (cW @ X0)
% 3.62/1.37 | ~ (X0 @ '#sk1')
% 3.62/1.37 | ~ (cZ @ '#sk1')
% 3.62/1.37 | ~ (X1 @ '#sk1')
% 3.62/1.37 | ~ (cW @ X1))),
% 3.62/1.37 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl199])).
% 3.62/1.37 thf(zip_derived_cl205, plain,
% 3.62/1.37 (![X0 : a > $o]:
% 3.62/1.37 (~ (cW @ X0) | ~ (X0 @ '#sk1') | ~ (cZ @ '#sk1') | ~ (X0 @ '#sk1'))),
% 3.62/1.37 inference('eq_fact', [status(thm)], [zip_derived_cl200])).
% 3.62/1.37 thf(zip_derived_cl207, plain,
% 3.62/1.37 (![X0 : a > $o]: (~ (cZ @ '#sk1') | ~ (X0 @ '#sk1') | ~ (cW @ X0))),
% 3.62/1.37 inference('simplify', [status(thm)], [zip_derived_cl205])).
% 3.62/1.37 thf(zip_derived_cl284, plain, ((~ ('#sk268' @ '#sk1') | ~ (cZ @ '#sk1'))),
% 3.62/1.37 inference('sup-', [status(thm)], [zip_derived_cl279, zip_derived_cl207])).
% 3.62/1.37 thf(zip_derived_cl230, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((cW @ '#sk268') &
% 3.62/1.37 ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0))))))))))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl229])).
% 3.62/1.37 thf(zip_derived_cl239, plain,
% 3.62/1.37 (( (cZ @ '#sk1')
% 3.62/1.37 | (((($false) &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((cW @ '#sk268') &
% 3.62/1.37 ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0)))))))))))),
% 3.62/1.37 inference('bool_hoist', [status(thm)], [zip_derived_cl230])).
% 3.62/1.37 thf(zip_derived_cl240, plain,
% 3.62/1.37 (( (cZ @ '#sk1')
% 3.62/1.37 | (((cW @ '#sk268') &
% 3.62/1.37 ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0))))))))))),
% 3.62/1.37 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl239])).
% 3.62/1.37 thf(zip_derived_cl255, plain,
% 3.62/1.37 (( ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0)))))))
% 3.62/1.37 | (cZ @ '#sk1'))),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl240])).
% 3.62/1.37 thf(zip_derived_cl256, plain,
% 3.62/1.37 (((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0))))))
% 3.62/1.37 | (cZ @ '#sk1'))),
% 3.62/1.37 inference('simplify nested equalities', [status(thm)],
% 3.62/1.37 [zip_derived_cl255])).
% 3.62/1.37 thf(zip_derived_cl259, plain,
% 3.62/1.37 (![X1 : a]:
% 3.62/1.37 ((('#sk2' @ X1) = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0)))) @ X1))
% 3.62/1.37 | (cZ @ '#sk1'))),
% 3.62/1.37 inference('ho_complete_eq', [status(thm)], [zip_derived_cl256])).
% 3.62/1.37 thf(zip_derived_cl260, plain,
% 3.62/1.37 (![X1 : a]:
% 3.62/1.37 ((('#sk2' @ X1) = ((('#sk268' @ X1) & (cZ @ X1)))) | (cZ @ '#sk1'))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl259])).
% 3.62/1.37 thf(zip_derived_cl263, plain,
% 3.62/1.37 (![X1 : a]:
% 3.62/1.37 ( ('#sk268' @ X1)
% 3.62/1.37 | (('#sk2' @ X1) = ((($false) & (cZ @ X1))))
% 3.62/1.37 | (cZ @ '#sk1'))),
% 3.62/1.37 inference('bool_hoist', [status(thm)], [zip_derived_cl260])).
% 3.62/1.37 thf(zip_derived_cl264, plain,
% 3.62/1.37 (![X1 : a]: ( ('#sk268' @ X1) | ~ ('#sk2' @ X1) | (cZ @ '#sk1'))),
% 3.62/1.37 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl263])).
% 3.62/1.37 thf(zip_derived_cl260, plain,
% 3.62/1.37 (![X1 : a]:
% 3.62/1.37 ((('#sk2' @ X1) = ((('#sk268' @ X1) & (cZ @ X1)))) | (cZ @ '#sk1'))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl259])).
% 3.62/1.37 thf(zip_derived_cl306, plain,
% 3.62/1.37 (![X0 : a]:
% 3.62/1.37 ((('#sk2' @ X0) = ((($true) & (cZ @ X0))))
% 3.62/1.37 | (cZ @ '#sk1')
% 3.62/1.37 | ~ ('#sk2' @ X0)
% 3.62/1.37 | (cZ @ '#sk1'))),
% 3.62/1.37 inference('sup+', [status(thm)], [zip_derived_cl264, zip_derived_cl260])).
% 3.62/1.37 thf(zip_derived_cl311, plain,
% 3.62/1.37 (![X0 : a]:
% 3.62/1.37 (~ ('#sk2' @ X0)
% 3.62/1.37 | (cZ @ '#sk1')
% 3.62/1.37 | (('#sk2' @ X0) = ((($true) & (cZ @ X0)))))),
% 3.62/1.37 inference('simplify', [status(thm)], [zip_derived_cl306])).
% 3.62/1.37 thf(zip_derived_cl312, plain,
% 3.62/1.37 (![X0 : a]:
% 3.62/1.37 (~ ('#sk2' @ X0) | (cZ @ '#sk1') | (('#sk2' @ X0) = (cZ @ X0)))),
% 3.62/1.37 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl311])).
% 3.62/1.37 thf(zip_derived_cl313, plain,
% 3.62/1.37 (![X0 : a]: (~ ('#sk2' @ X0) | (cZ @ '#sk1') | (cZ @ X0))),
% 3.62/1.37 inference('local_rewriting', [status(thm)], [zip_derived_cl312])).
% 3.62/1.37 thf(zip_derived_cl322, plain, (( (cZ @ '#sk1') | ~ ('#sk2' @ '#sk1'))),
% 3.62/1.37 inference('eq_fact', [status(thm)], [zip_derived_cl313])).
% 3.62/1.37 thf(zip_derived_cl219, plain, ( ('#sk2' @ '#sk1')),
% 3.62/1.37 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl218])).
% 3.62/1.37 thf(zip_derived_cl329, plain, ( (cZ @ '#sk1')),
% 3.62/1.37 inference('demod', [status(thm)], [zip_derived_cl322, zip_derived_cl219])).
% 3.62/1.37 thf(zip_derived_cl341, plain, (~ ('#sk268' @ '#sk1')),
% 3.62/1.37 inference('demod', [status(thm)], [zip_derived_cl284, zip_derived_cl329])).
% 3.62/1.37 thf(zip_derived_cl36, plain, (( ('#form60') | ('#sk2' @ '#sk1'))),
% 3.62/1.37 inference('renaming', [status(thm)], [zip_derived_cl21, zip_derived_cl33])).
% 3.62/1.37 thf(zip_derived_cl6, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 ((('#sk2') =
% 3.62/1.37 ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))) &
% 3.62/1.37 ('#sk2' @ '#sk1'))))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl5])).
% 3.62/1.37 thf(zip_derived_cl41, plain,
% 3.62/1.37 ((((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 ((('#sk2') =
% 3.62/1.37 ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))) &
% 3.62/1.37 ($true))))
% 3.62/1.37 | ('#form60'))),
% 3.62/1.37 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl6])).
% 3.62/1.37 thf(zip_derived_cl43, plain,
% 3.62/1.37 ((((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 ((('#sk2') =
% 3.62/1.37 ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))))
% 3.62/1.37 | ('#form60'))),
% 3.62/1.37 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl41])).
% 3.62/1.37 thf(zip_derived_cl218, plain, (~ ('#form60')),
% 3.62/1.37 inference('clc', [status(thm)], [zip_derived_cl217, zip_derived_cl39])).
% 3.62/1.37 thf(zip_derived_cl286, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((??) @ (^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ Y0) &
% 3.62/1.37 ((('#sk2') = ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))))))),
% 3.62/1.37 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl218])).
% 3.62/1.37 thf(zip_derived_cl289, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != ((^[Y0 : a > $o]:
% 3.62/1.37 (((cW @ (^[Y1 : a]: (Y0 @ Y1))) &
% 3.62/1.37 ((((^[Y1 : a]: ('#sk2' @ Y1))) =
% 3.62/1.37 ((^[Y1 : a]: (((Y0 @ Y1) & (cZ @ Y1)))))))))) @
% 3.62/1.37 '#sk268'))),
% 3.62/1.37 inference('quantifier_rw', [status(thm)], [zip_derived_cl286])).
% 3.62/1.37 thf(zip_derived_cl290, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != (((cW @ '#sk268') &
% 3.62/1.37 ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0))))))))))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl289])).
% 3.62/1.37 thf(zip_derived_cl279, plain, ( (cW @ '#sk268')),
% 3.62/1.37 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl278])).
% 3.62/1.37 thf(zip_derived_cl291, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != ((($true) &
% 3.62/1.37 ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0))))))))))),
% 3.62/1.37 inference('demod', [status(thm)], [zip_derived_cl290, zip_derived_cl279])).
% 3.62/1.37 thf(zip_derived_cl292, plain,
% 3.62/1.37 (((((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1'))))))))
% 3.62/1.37 != ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0))))))))),
% 3.62/1.37 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl291])).
% 3.62/1.37 thf(zip_derived_cl44, plain,
% 3.62/1.37 (( ('#form60')
% 3.62/1.37 | ~ (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 define([status(thm)])).
% 3.62/1.37 thf(zip_derived_cl33, plain,
% 3.62/1.37 ((~ ('#form60')
% 3.62/1.37 | (((cZ @ '#sk1') &
% 3.62/1.37 (((??) @ (^[Y0 : a > $o]: (((cW @ Y0) & (Y0 @ '#sk1')))))))))),
% 3.62/1.37 define([status(thm)])).
% 3.62/1.37 thf(zip_derived_cl293, plain,
% 3.62/1.37 (~ ((('#form60') =
% 3.62/1.37 ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0)))))))))),
% 3.62/1.37 inference('renaming', [status(thm)],
% 3.62/1.37 [zip_derived_cl292, zip_derived_cl44, zip_derived_cl33])).
% 3.62/1.37 thf(zip_derived_cl297, plain,
% 3.62/1.37 ((('#form60')
% 3.62/1.37 != ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0))))))))),
% 3.62/1.37 inference('simplify nested equalities', [status(thm)],
% 3.62/1.37 [zip_derived_cl293])).
% 3.62/1.37 thf(zip_derived_cl218, plain, (~ ('#form60')),
% 3.62/1.37 inference('clc', [status(thm)], [zip_derived_cl217, zip_derived_cl39])).
% 3.62/1.37 thf(zip_derived_cl298, plain,
% 3.62/1.37 ( ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0)))))))),
% 3.62/1.37 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl218])).
% 3.62/1.37 thf(zip_derived_cl299, plain,
% 3.62/1.37 ((('#sk2') = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0))))))),
% 3.62/1.37 inference('simplify nested equalities', [status(thm)],
% 3.62/1.37 [zip_derived_cl298])).
% 3.62/1.37 thf(zip_derived_cl303, plain,
% 3.62/1.37 (![X1 : a]:
% 3.62/1.37 (('#sk2' @ X1) = ((^[Y0 : a]: ((('#sk268' @ Y0) & (cZ @ Y0)))) @ X1))),
% 3.62/1.37 inference('ho_complete_eq', [status(thm)], [zip_derived_cl299])).
% 3.62/1.37 thf(zip_derived_cl304, plain,
% 3.62/1.37 (![X1 : a]: (('#sk2' @ X1) = ((('#sk268' @ X1) & (cZ @ X1))))),
% 3.62/1.37 inference('ho_norm', [status(thm)], [zip_derived_cl303])).
% 3.62/1.37 thf(zip_derived_cl355, plain,
% 3.62/1.37 (![X1 : a]:
% 3.62/1.37 ( ('#sk268' @ X1) | (('#sk2' @ X1) = ((($false) & (cZ @ X1)))))),
% 3.62/1.37 inference('bool_hoist', [status(thm)], [zip_derived_cl304])).
% 3.62/1.37 thf(zip_derived_cl356, plain,
% 3.62/1.37 (![X1 : a]: ( ('#sk268' @ X1) | ~ ('#sk2' @ X1))),
% 3.62/1.37 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl355])).
% 3.62/1.37 thf(zip_derived_cl371, plain, (~ ('#sk2' @ '#sk1')),
% 3.62/1.37 inference('sup+', [status(thm)], [zip_derived_cl341, zip_derived_cl356])).
% 3.62/1.37 thf(zip_derived_cl219, plain, ( ('#sk2' @ '#sk1')),
% 3.62/1.37 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl218])).
% 3.62/1.37 thf(zip_derived_cl377, plain, ($false),
% 3.62/1.37 inference('demod', [status(thm)], [zip_derived_cl371, zip_derived_cl219])).
% 3.62/1.37
% 3.62/1.37 % SZS output end Refutation
% 3.62/1.37
% 3.62/1.37
% 3.62/1.37 % Terminating...
% 4.19/1.58 % Runner terminated.
% 4.19/1.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------