%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV223^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AoAtbIAYxC true
% Computer : n021.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 5.08s 1.36s
% Output : Refutation 5.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV223^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AoAtbIAYxC true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 15:36:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.56/0.71 % Total configuration time : 828
% 0.56/0.71 % Estimated wc time : 1656
% 0.56/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.83 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 5.08/1.36 % Solved by lams/35_full_unif4.sh.
% 5.08/1.36 % done 67 iterations in 0.527s
% 5.08/1.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.08/1.36 % SZS output start Refutation
% 5.08/1.36 thf(b_type, type, b: $tType).
% 5.08/1.36 thf(a_type, type, a: $tType).
% 5.08/1.36 thf('#sk1_type', type, '#sk1': a).
% 5.08/1.36 thf(f_type, type, f: b > a).
% 5.08/1.36 thf('#sk71_type', type, '#sk71': b).
% 5.08/1.36 thf('#sk73_type', type, '#sk73': b > $o).
% 5.08/1.36 thf('#sk235_type', type, '#sk235': a > b).
% 5.08/1.36 thf(w_type, type, w: (b > $o) > $o).
% 5.08/1.36 thf('#sk72_type', type, '#sk72': b > $o).
% 5.08/1.36 thf('#form70_type', type, '#form70': $o).
% 5.08/1.36 thf('#sk2_type', type, '#sk2': a > $o).
% 5.08/1.36 thf(cX5204_pme, conjecture,
% 5.08/1.36 (( ^[Xz:a]:
% 5.08/1.36 ( ?[Xt:b]:
% 5.08/1.36 ( ( ?[S:( b > $o )]: ( ( w @ S ) & ( S @ Xt ) ) ) &
% 5.08/1.36 ( ( Xz ) = ( f @ Xt ) ) ) ) ) =
% 5.08/1.36 ( ^[Xx:a]:
% 5.08/1.36 ( ?[S:( a > $o )]:
% 5.08/1.36 ( ( ?[Xt:( b > $o )]:
% 5.08/1.36 ( ( w @ Xt ) &
% 5.08/1.36 ( ( S ) =
% 5.08/1.36 ( ^[Xz:a]:
% 5.08/1.36 ( ?[Xt0:b]: ( ( Xt @ Xt0 ) & ( ( Xz ) = ( f @ Xt0 ) ) ) ) ) ) ) ) &
% 5.08/1.36 ( S @ Xx ) ) ) ))).
% 5.08/1.36 thf(zf_stmt_0, negated_conjecture,
% 5.08/1.36 (( ^[Xz:a]:
% 5.08/1.36 ( ?[Xt:b]:
% 5.08/1.36 ( ( ?[S:( b > $o )]: ( ( w @ S ) & ( S @ Xt ) ) ) &
% 5.08/1.36 ( ( Xz ) = ( f @ Xt ) ) ) ) ) !=
% 5.08/1.36 ( ^[Xx:a]:
% 5.08/1.36 ( ?[S:( a > $o )]:
% 5.08/1.36 ( ( ?[Xt:( b > $o )]:
% 5.08/1.36 ( ( w @ Xt ) &
% 5.08/1.36 ( ( S ) =
% 5.08/1.36 ( ^[Xz:a]:
% 5.08/1.36 ( ?[Xt0:b]: ( ( Xt @ Xt0 ) & ( ( Xz ) = ( f @ Xt0 ) ) ) ) ) ) ) ) &
% 5.08/1.36 ( S @ Xx ) ) ) )),
% 5.08/1.36 inference('cnf.neg', [status(esa)], [cX5204_pme])).
% 5.08/1.36 thf(zip_derived_cl0, plain,
% 5.08/1.36 ((((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]:
% 5.08/1.36 (((((??) @ (^[Y2 : b > $o]: (((w @ Y2) & (Y2 @ Y1)))))) &
% 5.08/1.36 (((Y0) = (f @ Y1))))))))))
% 5.08/1.36 != ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : a > $o]:
% 5.08/1.36 (((((??) @ (^[Y2 : b > $o]:
% 5.08/1.36 (((w @ Y2) &
% 5.08/1.36 (((Y1) =
% 5.08/1.36 ((^[Y3 : a]:
% 5.08/1.36 (((??) @ (^[Y4 : b]:
% 5.08/1.36 (((Y2 @ Y4) &
% 5.08/1.36 (((Y3) = (f @
% 5.08/1.36 Y4))))))))))))))))) &
% 5.08/1.36 (Y1 @ Y0)))))))))),
% 5.08/1.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.08/1.36 thf(zip_derived_cl1, plain,
% 5.08/1.36 (((((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]:
% 5.08/1.36 (((w @ (^[Y2 : b]: (Y1 @ Y2))) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 != (((??) @ (^[Y0 : a > $o]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]:
% 5.08/1.36 (((w @ (^[Y2 : b]: (Y1 @ Y2))) &
% 5.08/1.36 ((((^[Y2 : a]: (Y0 @ Y2))) =
% 5.08/1.36 ((^[Y2 : a]:
% 5.08/1.36 (((??) @ (^[Y3 : b]:
% 5.08/1.36 (((Y1 @ Y3) &
% 5.08/1.36 (((Y2) = (f @ Y3))))))))))))))))) &
% 5.08/1.36 (Y0 @ '#sk1')))))))),
% 5.08/1.36 inference('neg_ext', [status(thm)], [zip_derived_cl0])).
% 5.08/1.36 thf(zip_derived_cl2, plain,
% 5.08/1.36 (((((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 != (((??) @ (^[Y0 : a > $o]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]:
% 5.08/1.36 (((w @ Y1) &
% 5.08/1.36 (((Y0) =
% 5.08/1.36 ((^[Y2 : a]:
% 5.08/1.36 (((??) @ (^[Y3 : b]:
% 5.08/1.36 (((Y1 @ Y3) &
% 5.08/1.36 (((Y2) = (f @ Y3))))))))))))))))) &
% 5.08/1.36 (Y0 @ '#sk1')))))))),
% 5.08/1.36 inference('ho_norm', [status(thm)], [zip_derived_cl1])).
% 5.08/1.36 thf(zip_derived_cl7, plain,
% 5.08/1.36 (((((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 != ((^[Y0 : a > $o]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]:
% 5.08/1.36 (((w @ (^[Y2 : b]: (Y1 @ Y2))) &
% 5.08/1.36 ((((^[Y2 : a]: (Y0 @ Y2))) =
% 5.08/1.36 ((^[Y2 : a]:
% 5.08/1.36 (((??) @ (^[Y3 : b]:
% 5.08/1.36 (((Y1 @ Y3) &
% 5.08/1.36 (((Y2) = (f @ Y3))))))))))))))))) &
% 5.08/1.36 (Y0 @ '#sk1')))) @
% 5.08/1.36 '#sk2'))),
% 5.08/1.36 inference('quantifier_rw', [status(thm)], [zip_derived_cl2])).
% 5.08/1.36 thf(zip_derived_cl8, plain,
% 5.08/1.36 (((((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 != (((((??) @ (^[Y0 : b > $o]:
% 5.08/1.36 (((w @ Y0) &
% 5.08/1.36 ((('#sk2') =
% 5.08/1.36 ((^[Y1 : a]:
% 5.08/1.36 (((??) @ (^[Y2 : b]:
% 5.08/1.36 (((Y0 @ Y2) & (((Y1) = (f @ Y2))))))))))))))))) &
% 5.08/1.36 ('#sk2' @ '#sk1'))))),
% 5.08/1.36 inference('ho_norm', [status(thm)], [zip_derived_cl7])).
% 5.08/1.36 thf(zip_derived_cl22, plain,
% 5.08/1.36 (( ('#sk2' @ '#sk1')
% 5.08/1.36 | ((((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 != (((((??) @ (^[Y0 : b > $o]:
% 5.08/1.36 (((w @ Y0) &
% 5.08/1.36 ((('#sk2') =
% 5.08/1.36 ((^[Y1 : a]:
% 5.08/1.36 (((??) @ (^[Y2 : b]:
% 5.08/1.36 (((Y0 @ Y2) &
% 5.08/1.36 (((Y1) = (f @ Y2))))))))))))))))) &
% 5.08/1.36 ($false)))))),
% 5.08/1.36 inference('bool_hoist', [status(thm)], [zip_derived_cl8])).
% 5.08/1.36 thf(zip_derived_cl23, plain,
% 5.08/1.36 (( ('#sk2' @ '#sk1')
% 5.08/1.36 | (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl22])).
% 5.08/1.36 thf(zip_derived_cl28, plain,
% 5.08/1.36 ((~ ('#form70')
% 5.08/1.36 | (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 define([status(thm)])).
% 5.08/1.36 thf(zip_derived_cl29, plain,
% 5.08/1.36 (( (((((??) @ (^[Y0 : b > $o]: (((w @ Y0) & (Y0 @ '#sk71')))))) &
% 5.08/1.36 ((('#sk1') = (f @ '#sk71')))))
% 5.08/1.36 | ~ ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])).
% 5.08/1.36 thf(zip_derived_cl32, plain,
% 5.08/1.36 (( ((('#sk1') = (f @ '#sk71'))) | ~ ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl29])).
% 5.08/1.36 thf(zip_derived_cl34, plain, (((('#sk1') = (f @ '#sk71')) | ~ ('#form70'))),
% 5.08/1.36 inference('simplify nested equalities', [status(thm)], [zip_derived_cl32])).
% 5.08/1.36 thf(zip_derived_cl8, plain,
% 5.08/1.36 (((((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 != (((((??) @ (^[Y0 : b > $o]:
% 5.08/1.36 (((w @ Y0) &
% 5.08/1.36 ((('#sk2') =
% 5.08/1.36 ((^[Y1 : a]:
% 5.08/1.36 (((??) @ (^[Y2 : b]:
% 5.08/1.36 (((Y0 @ Y2) & (((Y1) = (f @ Y2))))))))))))))))) &
% 5.08/1.36 ('#sk2' @ '#sk1'))))),
% 5.08/1.36 inference('ho_norm', [status(thm)], [zip_derived_cl7])).
% 5.08/1.36 thf(zip_derived_cl20, plain,
% 5.08/1.36 (( (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 | (((((??) @ (^[Y0 : b > $o]:
% 5.08/1.36 (((w @ Y0) &
% 5.08/1.36 ((('#sk2') =
% 5.08/1.36 ((^[Y1 : a]:
% 5.08/1.36 (((??) @ (^[Y2 : b]:
% 5.08/1.36 (((Y0 @ Y2) & (((Y1) = (f @ Y2))))))))))))))))) &
% 5.08/1.36 ('#sk2' @ '#sk1'))))),
% 5.08/1.36 inference('eq_elim', [status(thm)], [zip_derived_cl8])).
% 5.08/1.36 thf(zip_derived_cl28, plain,
% 5.08/1.36 ((~ ('#form70')
% 5.08/1.36 | (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 define([status(thm)])).
% 5.08/1.36 thf(zip_derived_cl41, plain,
% 5.08/1.36 (( ('#form70')
% 5.08/1.36 | (((((??) @ (^[Y0 : b > $o]:
% 5.08/1.36 (((w @ Y0) &
% 5.08/1.36 ((('#sk2') =
% 5.08/1.36 ((^[Y1 : a]:
% 5.08/1.36 (((??) @ (^[Y2 : b]:
% 5.08/1.36 (((Y0 @ Y2) & (((Y1) = (f @ Y2))))))))))))))))) &
% 5.08/1.36 ('#sk2' @ '#sk1'))))),
% 5.08/1.36 inference('renaming', [status(thm)], [zip_derived_cl20, zip_derived_cl28])).
% 5.08/1.36 thf(zip_derived_cl42, plain,
% 5.08/1.36 (( (((??) @ (^[Y0 : b > $o]:
% 5.08/1.36 (((w @ Y0) &
% 5.08/1.36 ((('#sk2') =
% 5.08/1.36 ((^[Y1 : a]:
% 5.08/1.36 (((??) @ (^[Y2 : b]:
% 5.08/1.36 (((Y0 @ Y2) & (((Y1) = (f @ Y2)))))))))))))))))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl41])).
% 5.08/1.36 thf(zip_derived_cl44, plain,
% 5.08/1.36 (( (((w @ '#sk73') &
% 5.08/1.36 ((('#sk2') =
% 5.08/1.36 ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: ((('#sk73' @ Y1) & (((Y0) = (f @ Y1))))))))))))))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])).
% 5.08/1.36 thf(zip_derived_cl46, plain,
% 5.08/1.36 (( ((('#sk2') =
% 5.08/1.36 ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: ((('#sk73' @ Y1) & (((Y0) = (f @ Y1))))))))))))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])).
% 5.08/1.36 thf(zip_derived_cl47, plain,
% 5.08/1.36 (((('#sk2')
% 5.08/1.36 = ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: ((('#sk73' @ Y1) & (((Y0) = (f @ Y1)))))))))))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('simplify nested equalities', [status(thm)], [zip_derived_cl46])).
% 5.08/1.36 thf(zip_derived_cl50, plain,
% 5.08/1.36 (![X1 : a]:
% 5.08/1.36 ((('#sk2' @ X1)
% 5.08/1.36 = ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: ((('#sk73' @ Y1) & (((Y0) = (f @ Y1))))))))) @
% 5.08/1.36 X1))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('ho_complete_eq', [status(thm)], [zip_derived_cl47])).
% 5.08/1.36 thf(zip_derived_cl51, plain,
% 5.08/1.36 (![X1 : a]:
% 5.08/1.36 ((('#sk2' @ X1)
% 5.08/1.36 = (((??) @ (^[Y0 : b]: ((('#sk73' @ Y0) & (((X1) = (f @ Y0)))))))))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('ho_norm', [status(thm)], [zip_derived_cl50])).
% 5.08/1.36 thf(zip_derived_cl133, plain,
% 5.08/1.36 (![X1 : a]:
% 5.08/1.36 ((('#sk2' @ X1)
% 5.08/1.36 = ((^[Y0 : b]: ((('#sk73' @ Y0) & (((X1) = (f @ Y0)))))) @
% 5.08/1.36 ('#sk235' @ X1)))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('quantifier_rw', [status(thm)], [zip_derived_cl51])).
% 5.08/1.36 thf(zip_derived_cl134, plain,
% 5.08/1.36 (![X1 : a]:
% 5.08/1.36 ((('#sk2' @ X1)
% 5.08/1.36 = ((('#sk73' @ ('#sk235' @ X1)) & (((X1) = (f @ ('#sk235' @ X1)))))))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('ho_norm', [status(thm)], [zip_derived_cl133])).
% 5.08/1.36 thf(zip_derived_cl142, plain,
% 5.08/1.36 (![X1 : a]:
% 5.08/1.36 ( ('#sk73' @ ('#sk235' @ X1))
% 5.08/1.36 | (('#sk2' @ X1) = ((($false) & (((X1) = (f @ ('#sk235' @ X1)))))))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('bool_hoist', [status(thm)], [zip_derived_cl134])).
% 5.08/1.36 thf(zip_derived_cl143, plain,
% 5.08/1.36 (![X1 : a]:
% 5.08/1.36 ( ('#sk73' @ ('#sk235' @ X1)) | ~ ('#sk2' @ X1) | ('#form70'))),
% 5.08/1.36 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl142])).
% 5.08/1.36 thf(zip_derived_cl134, plain,
% 5.08/1.36 (![X1 : a]:
% 5.08/1.36 ((('#sk2' @ X1)
% 5.08/1.36 = ((('#sk73' @ ('#sk235' @ X1)) & (((X1) = (f @ ('#sk235' @ X1)))))))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('ho_norm', [status(thm)], [zip_derived_cl133])).
% 5.08/1.36 thf(zip_derived_cl149, plain,
% 5.08/1.36 (![X0 : a]:
% 5.08/1.36 ((('#sk2' @ X0) = ((($true) & (((X0) = (f @ ('#sk235' @ X0)))))))
% 5.08/1.36 | ('#form70')
% 5.08/1.36 | ~ ('#sk2' @ X0)
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl134])).
% 5.08/1.36 thf(zip_derived_cl152, plain,
% 5.08/1.36 (![X0 : a]:
% 5.08/1.36 (~ ('#sk2' @ X0)
% 5.08/1.36 | ('#form70')
% 5.08/1.36 | (('#sk2' @ X0) = ((($true) & (((X0) = (f @ ('#sk235' @ X0))))))))),
% 5.08/1.36 inference('simplify', [status(thm)], [zip_derived_cl149])).
% 5.08/1.36 thf(zip_derived_cl153, plain,
% 5.08/1.36 (![X0 : a]:
% 5.08/1.36 (~ ('#sk2' @ X0)
% 5.08/1.36 | ('#form70')
% 5.08/1.36 | (('#sk2' @ X0) = (((X0) = (f @ ('#sk235' @ X0))))))),
% 5.08/1.36 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl152])).
% 5.08/1.36 thf(zip_derived_cl154, plain,
% 5.08/1.36 (![X0 : a]:
% 5.08/1.36 (~ ('#sk2' @ X0) | ('#form70') | (((X0) = (f @ ('#sk235' @ X0)))))),
% 5.08/1.36 inference('local_rewriting', [status(thm)], [zip_derived_cl153])).
% 5.08/1.36 thf(zip_derived_cl155, plain,
% 5.08/1.36 (![X0 : a]:
% 5.08/1.36 (~ ('#sk2' @ X0) | ('#form70') | ((X0) = (f @ ('#sk235' @ X0))))),
% 5.08/1.36 inference('simplify nested equalities', [status(thm)],
% 5.08/1.36 [zip_derived_cl154])).
% 5.08/1.36 thf(zip_derived_cl45, plain, (( (w @ '#sk73') | ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])).
% 5.08/1.36 thf(zip_derived_cl8, plain,
% 5.08/1.36 (((((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 != (((((??) @ (^[Y0 : b > $o]:
% 5.08/1.36 (((w @ Y0) &
% 5.08/1.36 ((('#sk2') =
% 5.08/1.36 ((^[Y1 : a]:
% 5.08/1.36 (((??) @ (^[Y2 : b]:
% 5.08/1.36 (((Y0 @ Y2) & (((Y1) = (f @ Y2))))))))))))))))) &
% 5.08/1.36 ('#sk2' @ '#sk1'))))),
% 5.08/1.36 inference('ho_norm', [status(thm)], [zip_derived_cl7])).
% 5.08/1.36 thf(zip_derived_cl21, plain,
% 5.08/1.36 ((~ (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 | ~ (((((??) @ (^[Y0 : b > $o]:
% 5.08/1.36 (((w @ Y0) &
% 5.08/1.36 ((('#sk2') =
% 5.08/1.36 ((^[Y1 : a]:
% 5.08/1.36 (((??) @ (^[Y2 : b]:
% 5.08/1.36 (((Y0 @ Y2) & (((Y1) = (f @ Y2))))))))))))))))) &
% 5.08/1.36 ('#sk2' @ '#sk1'))))),
% 5.08/1.36 inference('eq_elim', [status(thm)], [zip_derived_cl8])).
% 5.08/1.36 thf(zip_derived_cl54, plain,
% 5.08/1.36 (( ('#form70')
% 5.08/1.36 | ~ (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 define([status(thm)])).
% 5.08/1.36 thf(zip_derived_cl55, plain,
% 5.08/1.36 (![X2 : b]:
% 5.08/1.36 (~ (((((??) @ (^[Y0 : b > $o]: (((w @ Y0) & (Y0 @ X2)))))) &
% 5.08/1.36 ((('#sk1') = (f @ X2)))))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl54])).
% 5.08/1.36 thf(zip_derived_cl58, plain,
% 5.08/1.36 (![X2 : b]:
% 5.08/1.36 (~ (((??) @ (^[Y0 : b > $o]: (((w @ Y0) & (Y0 @ X2))))))
% 5.08/1.36 | ~ ((('#sk1') = (f @ X2)))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])).
% 5.08/1.36 thf(zip_derived_cl60, plain,
% 5.08/1.36 (![X2 : b]:
% 5.08/1.36 (~ (((??) @ (^[Y0 : b > $o]: (((w @ Y0) & (Y0 @ X2))))))
% 5.08/1.36 | (('#sk1') != (f @ X2))
% 5.08/1.36 | ('#form70'))),
% 5.08/1.36 inference('simplify nested equalities', [status(thm)], [zip_derived_cl58])).
% 5.08/1.36 thf(zip_derived_cl61, plain,
% 5.08/1.36 (![X2 : b, X4 : b > $o]:
% 5.08/1.36 (~ (((w @ X4) & (X4 @ X2))) | ('#form70') | (('#sk1') != (f @ X2)))),
% 5.08/1.36 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl60])).
% 5.08/1.36 thf(zip_derived_cl63, plain,
% 5.08/1.36 (![X2 : b, X4 : b > $o]:
% 5.08/1.36 (~ (w @ X4) | ~ (X4 @ X2) | (('#sk1') != (f @ X2)) | ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl61])).
% 5.08/1.36 thf(zip_derived_cl65, plain,
% 5.08/1.36 (![X0 : b]:
% 5.08/1.36 ( ('#form70')
% 5.08/1.36 | ('#form70')
% 5.08/1.36 | (('#sk1') != (f @ X0))
% 5.08/1.36 | ~ ('#sk73' @ X0))),
% 5.08/1.36 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl63])).
% 5.08/1.36 thf(zip_derived_cl76, plain,
% 5.08/1.36 (![X0 : b]: (~ ('#sk73' @ X0) | (('#sk1') != (f @ X0)) | ('#form70'))),
% 5.08/1.36 inference('simplify', [status(thm)], [zip_derived_cl65])).
% 5.08/1.36 thf(zip_derived_cl205, plain,
% 5.08/1.36 (![X0 : a]:
% 5.08/1.36 ((('#sk1') != (X0))
% 5.08/1.36 | ('#form70')
% 5.08/1.36 | ~ ('#sk2' @ X0)
% 5.08/1.36 | ('#form70')
% 5.08/1.36 | ~ ('#sk73' @ ('#sk235' @ X0)))),
% 5.08/1.36 inference('sup-', [status(thm)], [zip_derived_cl155, zip_derived_cl76])).
% 5.08/1.36 thf(zip_derived_cl211, plain,
% 5.08/1.36 ((~ ('#sk73' @ ('#sk235' @ '#sk1')) | ~ ('#sk2' @ '#sk1') | ('#form70'))),
% 5.08/1.36 inference('simplify', [status(thm)], [zip_derived_cl205])).
% 5.08/1.36 thf(zip_derived_cl143, plain,
% 5.08/1.36 (![X1 : a]:
% 5.08/1.36 ( ('#sk73' @ ('#sk235' @ X1)) | ~ ('#sk2' @ X1) | ('#form70'))),
% 5.08/1.36 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl142])).
% 5.08/1.36 thf(zip_derived_cl225, plain, (( ('#form70') | ~ ('#sk2' @ '#sk1'))),
% 5.08/1.36 inference('clc', [status(thm)], [zip_derived_cl211, zip_derived_cl143])).
% 5.08/1.36 thf(zip_derived_cl23, plain,
% 5.08/1.36 (( ('#sk2' @ '#sk1')
% 5.08/1.36 | (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl22])).
% 5.08/1.36 thf(zip_derived_cl28, plain,
% 5.08/1.36 ((~ ('#form70')
% 5.08/1.36 | (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 define([status(thm)])).
% 5.08/1.36 thf(zip_derived_cl30, plain, (( ('#form70') | ('#sk2' @ '#sk1'))),
% 5.08/1.36 inference('renaming', [status(thm)], [zip_derived_cl23, zip_derived_cl28])).
% 5.08/1.36 thf(zip_derived_cl226, plain, ( ('#form70')),
% 5.08/1.36 inference('clc', [status(thm)], [zip_derived_cl225, zip_derived_cl30])).
% 5.08/1.36 thf(zip_derived_cl227, plain, ((('#sk1') = (f @ '#sk71'))),
% 5.08/1.36 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl226])).
% 5.08/1.36 thf(zip_derived_cl227, plain, ((('#sk1') = (f @ '#sk71'))),
% 5.08/1.36 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl226])).
% 5.08/1.36 thf(zip_derived_cl31, plain,
% 5.08/1.36 (( (((??) @ (^[Y0 : b > $o]: (((w @ Y0) & (Y0 @ '#sk71'))))))
% 5.08/1.36 | ~ ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl29])).
% 5.08/1.36 thf(zip_derived_cl33, plain,
% 5.08/1.36 (( (((w @ '#sk72') & ('#sk72' @ '#sk71'))) | ~ ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl31])).
% 5.08/1.36 thf(zip_derived_cl35, plain, (( (w @ '#sk72') | ~ ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])).
% 5.08/1.36 thf(zip_derived_cl226, plain, ( ('#form70')),
% 5.08/1.36 inference('clc', [status(thm)], [zip_derived_cl225, zip_derived_cl30])).
% 5.08/1.36 thf(zip_derived_cl228, plain, ( (w @ '#sk72')),
% 5.08/1.36 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl226])).
% 5.08/1.36 thf(zip_derived_cl228, plain, ( (w @ '#sk72')),
% 5.08/1.36 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl226])).
% 5.08/1.36 thf(zip_derived_cl2, plain,
% 5.08/1.36 (((((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 != (((??) @ (^[Y0 : a > $o]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]:
% 5.08/1.36 (((w @ Y1) &
% 5.08/1.36 (((Y0) =
% 5.08/1.36 ((^[Y2 : a]:
% 5.08/1.36 (((??) @ (^[Y3 : b]:
% 5.08/1.36 (((Y1 @ Y3) &
% 5.08/1.36 (((Y2) = (f @ Y3))))))))))))))))) &
% 5.08/1.36 (Y0 @ '#sk1')))))))),
% 5.08/1.36 inference('ho_norm', [status(thm)], [zip_derived_cl1])).
% 5.08/1.36 thf(zip_derived_cl3, plain,
% 5.08/1.36 (![X-81 : a > $o]:
% 5.08/1.36 (~ ((^[Y0 : a > $o]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]:
% 5.08/1.36 (((w @ Y1) &
% 5.08/1.36 (((Y0) =
% 5.08/1.36 ((^[Y2 : a]:
% 5.08/1.36 (((??) @ (^[Y3 : b]:
% 5.08/1.36 (((Y1 @ Y3) &
% 5.08/1.36 (((Y2) = (f @ Y3))))))))))))))))) &
% 5.08/1.36 (Y0 @ '#sk1')))) @
% 5.08/1.36 X-81)
% 5.08/1.36 | ~ (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 inference('exists_hoist', [status(thm)], [zip_derived_cl2])).
% 5.08/1.36 thf(zip_derived_cl9, plain,
% 5.08/1.36 (![X-81 : a > $o]:
% 5.08/1.36 (~ (((((??) @ (^[Y0 : b > $o]:
% 5.08/1.36 (((w @ Y0) &
% 5.08/1.36 (((X-81) =
% 5.08/1.36 ((^[Y1 : a]:
% 5.08/1.36 (((??) @ (^[Y2 : b]:
% 5.08/1.36 (((Y0 @ Y2) & (((Y1) = (f @ Y2))))))))))))))))) &
% 5.08/1.36 (X-81 @ '#sk1')))
% 5.08/1.36 | ~ (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 inference('ho_norm', [status(thm)], [zip_derived_cl3])).
% 5.08/1.36 thf(zip_derived_cl10, plain,
% 5.08/1.36 (![X0 : a > $o]:
% 5.08/1.36 (~ (((((??) @ (^[Y0 : b > $o]:
% 5.08/1.36 (((w @ Y0) &
% 5.08/1.36 (((X0) =
% 5.08/1.36 ((^[Y1 : a]:
% 5.08/1.36 (((??) @ (^[Y2 : b]:
% 5.08/1.36 (((Y0 @ Y2) & (((Y1) = (f @ Y2))))))))))))))))) &
% 5.08/1.36 (X0 @ '#sk1')))
% 5.08/1.36 | ~ (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 inference('cannonize vars', [status(thm)], [zip_derived_cl9])).
% 5.08/1.36 thf(zip_derived_cl11, plain,
% 5.08/1.36 (![X0 : a > $o]:
% 5.08/1.36 (~ (((??) @ (^[Y0 : b > $o]:
% 5.08/1.36 (((w @ Y0) &
% 5.08/1.36 (((X0) =
% 5.08/1.36 ((^[Y1 : a]:
% 5.08/1.36 (((??) @ (^[Y2 : b]:
% 5.08/1.36 (((Y0 @ Y2) & (((Y1) = (f @ Y2)))))))))))))))))
% 5.08/1.36 | ~ (X0 @ '#sk1')
% 5.08/1.36 | ~ (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])).
% 5.08/1.36 thf(zip_derived_cl12, plain,
% 5.08/1.36 (![X0 : a > $o, X2 : b > $o]:
% 5.08/1.36 (~ (((w @ X2) &
% 5.08/1.36 (((X0) =
% 5.08/1.36 ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: (((X2 @ Y1) & (((Y0) = (f @ Y1))))))))))))))
% 5.08/1.36 | ~ (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 | ~ (X0 @ '#sk1'))),
% 5.08/1.36 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])).
% 5.08/1.36 thf(zip_derived_cl13, plain,
% 5.08/1.36 (![X0 : a > $o, X2 : b > $o]:
% 5.08/1.36 (~ (w @ X2)
% 5.08/1.36 | ~ (((X0) =
% 5.08/1.36 ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: (((X2 @ Y1) & (((Y0) = (f @ Y1))))))))))))
% 5.08/1.36 | ~ (X0 @ '#sk1')
% 5.08/1.36 | ~ (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])).
% 5.08/1.36 thf(zip_derived_cl14, plain,
% 5.08/1.36 (![X0 : a > $o, X2 : b > $o]:
% 5.08/1.36 (~ (w @ X2)
% 5.08/1.36 | ((X0)
% 5.08/1.36 != ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: (((X2 @ Y1) & (((Y0) = (f @ Y1)))))))))))
% 5.08/1.36 | ~ (X0 @ '#sk1')
% 5.08/1.36 | ~ (((??) @ (^[Y0 : b]:
% 5.08/1.36 (((((??) @ (^[Y1 : b > $o]: (((w @ Y1) & (Y1 @ Y0)))))) &
% 5.08/1.36 ((('#sk1') = (f @ Y0)))))))))),
% 5.08/1.36 inference('simplify nested equalities', [status(thm)], [zip_derived_cl13])).
% 5.08/1.36 thf(zip_derived_cl15, plain,
% 5.08/1.36 (![X0 : a > $o, X2 : b > $o, X4 : b]:
% 5.08/1.36 (~ (((((??) @ (^[Y0 : b > $o]: (((w @ Y0) & (Y0 @ X4)))))) &
% 5.08/1.36 ((('#sk1') = (f @ X4)))))
% 5.08/1.36 | ~ (X0 @ '#sk1')
% 5.08/1.36 | ((X0)
% 5.08/1.36 != ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: (((X2 @ Y1) & (((Y0) = (f @ Y1)))))))))))
% 5.08/1.36 | ~ (w @ X2))),
% 5.08/1.36 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])).
% 5.08/1.36 thf(zip_derived_cl16, plain,
% 5.08/1.36 (![X0 : a > $o, X2 : b > $o, X4 : b]:
% 5.08/1.36 (~ (((??) @ (^[Y0 : b > $o]: (((w @ Y0) & (Y0 @ X4))))))
% 5.08/1.36 | ~ ((('#sk1') = (f @ X4)))
% 5.08/1.36 | ~ (w @ X2)
% 5.08/1.36 | ((X0)
% 5.08/1.36 != ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: (((X2 @ Y1) & (((Y0) = (f @ Y1)))))))))))
% 5.08/1.36 | ~ (X0 @ '#sk1'))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
% 5.08/1.36 thf(zip_derived_cl17, plain,
% 5.08/1.36 (![X0 : a > $o, X2 : b > $o, X4 : b]:
% 5.08/1.36 (~ (((??) @ (^[Y0 : b > $o]: (((w @ Y0) & (Y0 @ X4))))))
% 5.08/1.36 | (('#sk1') != (f @ X4))
% 5.08/1.36 | ~ (w @ X2)
% 5.08/1.36 | ((X0)
% 5.08/1.36 != ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: (((X2 @ Y1) & (((Y0) = (f @ Y1)))))))))))
% 5.08/1.36 | ~ (X0 @ '#sk1'))),
% 5.08/1.36 inference('simplify nested equalities', [status(thm)], [zip_derived_cl16])).
% 5.08/1.36 thf(zip_derived_cl18, plain,
% 5.08/1.36 (![X0 : a > $o, X2 : b > $o, X4 : b, X6 : b > $o]:
% 5.08/1.36 (~ (((w @ X6) & (X6 @ X4)))
% 5.08/1.36 | ~ (X0 @ '#sk1')
% 5.08/1.36 | ((X0)
% 5.08/1.36 != ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: (((X2 @ Y1) & (((Y0) = (f @ Y1)))))))))))
% 5.08/1.36 | ~ (w @ X2)
% 5.08/1.36 | (('#sk1') != (f @ X4)))),
% 5.08/1.36 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])).
% 5.08/1.36 thf(zip_derived_cl19, plain,
% 5.08/1.36 (![X0 : a > $o, X2 : b > $o, X4 : b, X6 : b > $o]:
% 5.08/1.36 (~ (w @ X6)
% 5.08/1.36 | ~ (X6 @ X4)
% 5.08/1.36 | (('#sk1') != (f @ X4))
% 5.08/1.36 | ~ (w @ X2)
% 5.08/1.36 | ((X0)
% 5.08/1.36 != ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: (((X2 @ Y1) & (((Y0) = (f @ Y1)))))))))))
% 5.08/1.36 | ~ (X0 @ '#sk1'))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])).
% 5.08/1.36 thf(zip_derived_cl26, plain,
% 5.08/1.36 (![X0 : b > $o, X1 : b, X2 : b > $o]:
% 5.08/1.36 (~ ((^[Y0 : a]:
% 5.08/1.36 (((??) @ (^[Y1 : b]: (((X0 @ Y1) & (((Y0) = (f @ Y1))))))))) @
% 5.08/1.36 '#sk1')
% 5.08/1.36 | ~ (w @ X0)
% 5.08/1.36 | (('#sk1') != (f @ X1))
% 5.08/1.36 | ~ (X2 @ X1)
% 5.08/1.36 | ~ (w @ X2))),
% 5.08/1.36 inference('eq_res', [status(thm)], [zip_derived_cl19])).
% 5.08/1.36 thf(zip_derived_cl27, plain,
% 5.08/1.36 (![X0 : b > $o, X1 : b, X2 : b > $o]:
% 5.08/1.36 (~ (((??) @ (^[Y0 : b]: (((X0 @ Y0) & ((('#sk1') = (f @ Y0))))))))
% 5.08/1.36 | ~ (w @ X0)
% 5.08/1.36 | (('#sk1') != (f @ X1))
% 5.08/1.36 | ~ (X2 @ X1)
% 5.08/1.36 | ~ (w @ X2))),
% 5.08/1.36 inference('ho_norm', [status(thm)], [zip_derived_cl26])).
% 5.08/1.36 thf(zip_derived_cl323, plain,
% 5.08/1.36 (![X0 : b > $o, X1 : b, X2 : b > $o, X4 : b]:
% 5.08/1.36 (~ (((X0 @ X4) & ((('#sk1') = (f @ X4)))))
% 5.08/1.36 | ~ (w @ X2)
% 5.08/1.36 | ~ (X2 @ X1)
% 5.08/1.36 | (('#sk1') != (f @ X1))
% 5.08/1.36 | ~ (w @ X0))),
% 5.08/1.36 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])).
% 5.08/1.36 thf(zip_derived_cl324, plain,
% 5.08/1.36 (![X0 : b > $o, X1 : b, X2 : b > $o, X4 : b]:
% 5.08/1.36 (~ (X0 @ X4)
% 5.08/1.36 | ~ ((('#sk1') = (f @ X4)))
% 5.08/1.36 | ~ (w @ X0)
% 5.08/1.36 | (('#sk1') != (f @ X1))
% 5.08/1.36 | ~ (X2 @ X1)
% 5.08/1.36 | ~ (w @ X2))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl323])).
% 5.08/1.36 thf(zip_derived_cl325, plain,
% 5.08/1.36 (![X0 : b > $o, X1 : b, X2 : b > $o, X4 : b]:
% 5.08/1.36 (~ (X0 @ X4)
% 5.08/1.36 | (('#sk1') != (f @ X4))
% 5.08/1.36 | ~ (w @ X0)
% 5.08/1.36 | (('#sk1') != (f @ X1))
% 5.08/1.36 | ~ (X2 @ X1)
% 5.08/1.36 | ~ (w @ X2))),
% 5.08/1.36 inference('simplify nested equalities', [status(thm)],
% 5.08/1.36 [zip_derived_cl324])).
% 5.08/1.36 thf(zip_derived_cl326, plain,
% 5.08/1.36 (![X0 : b > $o, X1 : b, X2 : b]:
% 5.08/1.36 (~ (w @ X0)
% 5.08/1.36 | ~ (X0 @ X1)
% 5.08/1.36 | (('#sk1') != (f @ X1))
% 5.08/1.36 | (('#sk1') != (f @ X2))
% 5.08/1.36 | ~ ('#sk72' @ X2))),
% 5.08/1.36 inference('sup-', [status(thm)], [zip_derived_cl228, zip_derived_cl325])).
% 5.08/1.36 thf(zip_derived_cl332, plain,
% 5.08/1.36 (![X0 : b, X1 : b]:
% 5.08/1.36 (~ ('#sk72' @ X0)
% 5.08/1.36 | (('#sk1') != (f @ X0))
% 5.08/1.36 | (('#sk1') != (f @ X1))
% 5.08/1.36 | ~ ('#sk72' @ X1))),
% 5.08/1.36 inference('sup-', [status(thm)], [zip_derived_cl228, zip_derived_cl326])).
% 5.08/1.36 thf(zip_derived_cl337, plain,
% 5.08/1.36 (![X0 : b]:
% 5.08/1.36 ((('#sk1') != ('#sk1'))
% 5.08/1.36 | ~ ('#sk72' @ X0)
% 5.08/1.36 | (('#sk1') != (f @ X0))
% 5.08/1.36 | ~ ('#sk72' @ '#sk71'))),
% 5.08/1.36 inference('sup-', [status(thm)], [zip_derived_cl227, zip_derived_cl332])).
% 5.08/1.36 thf(zip_derived_cl36, plain, (( ('#sk72' @ '#sk71') | ~ ('#form70'))),
% 5.08/1.36 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])).
% 5.08/1.36 thf(zip_derived_cl226, plain, ( ('#form70')),
% 5.08/1.36 inference('clc', [status(thm)], [zip_derived_cl225, zip_derived_cl30])).
% 5.08/1.36 thf(zip_derived_cl229, plain, ( ('#sk72' @ '#sk71')),
% 5.08/1.36 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl226])).
% 5.08/1.36 thf(zip_derived_cl342, plain,
% 5.08/1.36 (![X0 : b]:
% 5.08/1.36 ((('#sk1') != ('#sk1')) | ~ ('#sk72' @ X0) | (('#sk1') != (f @ X0)))),
% 5.08/1.36 inference('demod', [status(thm)], [zip_derived_cl337, zip_derived_cl229])).
% 5.08/1.36 thf(zip_derived_cl343, plain,
% 5.08/1.36 (![X0 : b]: ((('#sk1') != (f @ X0)) | ~ ('#sk72' @ X0))),
% 5.08/1.36 inference('simplify', [status(thm)], [zip_derived_cl342])).
% 5.08/1.36 thf(zip_derived_cl349, plain,
% 5.08/1.36 (((('#sk1') != ('#sk1')) | ~ ('#sk72' @ '#sk71'))),
% 5.08/1.36 inference('sup-', [status(thm)], [zip_derived_cl227, zip_derived_cl343])).
% 5.08/1.36 thf(zip_derived_cl229, plain, ( ('#sk72' @ '#sk71')),
% 5.08/1.36 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl226])).
% 5.08/1.36 thf(zip_derived_cl354, plain, ((('#sk1') != ('#sk1'))),
% 5.08/1.36 inference('demod', [status(thm)], [zip_derived_cl349, zip_derived_cl229])).
% 5.08/1.36 thf(zip_derived_cl355, plain, ($false),
% 5.08/1.36 inference('simplify', [status(thm)], [zip_derived_cl354])).
% 5.08/1.36
% 5.08/1.36 % SZS output end Refutation
% 5.08/1.36
% 5.08/1.36
% 5.08/1.36 % Terminating...
% 5.08/1.42 % Runner terminated.
% 5.08/1.44 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------