%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET597^5 : 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.eWpt6lOmk2 true
% Computer : n031.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 04:52:21 PM UTC 2025
% Result : Theorem 1.50s 0.95s
% Output : Refutation 1.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET597^5 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eWpt6lOmk2 true
% 0.11/0.30 % Computer : n031.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Wed Oct 1 13:23:23 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.11/0.31 % Python version: Python 3.6.8
% 0.11/0.31 % Running in HO mode
% 0.16/0.54 % Total configuration time : 828
% 0.16/0.54 % Estimated wc time : 1656
% 0.16/0.54 % Estimated cpu time (8 cpus) : 207.0
% 0.75/0.60 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.05/0.64 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.05/0.64 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.41/0.67 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.41/0.68 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.41/0.68 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.41/0.69 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.41/0.69 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.50/0.95 % Solved by lams/35_full_unif4.sh.
% 1.50/0.95 % done 211 iterations in 0.266s
% 1.50/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.50/0.95 % SZS output start Refutation
% 1.50/0.95 thf(a_type, type, a: $tType).
% 1.50/0.95 thf('#sk2_type', type, '#sk2': a > $o).
% 1.50/0.95 thf('#sk5_type', type, '#sk5': a > $o).
% 1.50/0.95 thf('#form68_type', type, '#form68': $o).
% 1.50/0.95 thf('#sk4_type', type, '#sk4': a).
% 1.50/0.95 thf('#form7_type', type, '#form7': $o).
% 1.50/0.95 thf('#sk10_type', type, '#sk10': a).
% 1.50/0.95 thf('#form8_type', type, '#form8': $o).
% 1.50/0.95 thf('#form152_type', type, '#form152': a > $o).
% 1.50/0.95 thf('#sk9_type', type, '#sk9': a).
% 1.50/0.95 thf('#sk6_type', type, '#sk6': a).
% 1.50/0.95 thf('#sk1_type', type, '#sk1': a > $o).
% 1.50/0.95 thf('#sk3_type', type, '#sk3': a > $o).
% 1.50/0.95 thf(cBOOL_PROP_56_pme, conjecture,
% 1.50/0.95 (![X:( a > $o ),Y:( a > $o ),Z:( a > $o )]:
% 1.50/0.95 ( ( ( X ) = ( ^[Xz:a]: ( ( Z @ Xz ) | ( Y @ Xz ) ) ) ) <=>
% 1.50/0.95 ( ( ![V:( a > $o )]:
% 1.50/0.95 ( ( ( ![Xx:a]: ( ( Z @ Xx ) => ( V @ Xx ) ) ) &
% 1.50/0.95 ( ![Xx:a]: ( ( Y @ Xx ) => ( V @ Xx ) ) ) ) =>
% 1.50/0.95 ( ![Xx:a]: ( ( X @ Xx ) => ( V @ Xx ) ) ) ) ) &
% 1.50/0.95 ( ![Xx:a]: ( ( Z @ Xx ) => ( X @ Xx ) ) ) &
% 1.50/0.95 ( ![Xx:a]: ( ( Y @ Xx ) => ( X @ Xx ) ) ) ) ))).
% 1.50/0.95 thf(zf_stmt_0, negated_conjecture,
% 1.50/0.95 (~( ![X:( a > $o ),Y:( a > $o ),Z:( a > $o )]:
% 1.50/0.95 ( ( ( X ) = ( ^[Xz:a]: ( ( Z @ Xz ) | ( Y @ Xz ) ) ) ) <=>
% 1.50/0.95 ( ( ![V:( a > $o )]:
% 1.50/0.95 ( ( ( ![Xx:a]: ( ( Z @ Xx ) => ( V @ Xx ) ) ) &
% 1.50/0.95 ( ![Xx:a]: ( ( Y @ Xx ) => ( V @ Xx ) ) ) ) =>
% 1.50/0.95 ( ![Xx:a]: ( ( X @ Xx ) => ( V @ Xx ) ) ) ) ) &
% 1.50/0.95 ( ![Xx:a]: ( ( Z @ Xx ) => ( X @ Xx ) ) ) &
% 1.50/0.95 ( ![Xx:a]: ( ( Y @ Xx ) => ( X @ Xx ) ) ) ) ) )),
% 1.50/0.95 inference('cnf.neg', [status(esa)], [cBOOL_PROP_56_pme])).
% 1.50/0.95 thf(zip_derived_cl0, plain,
% 1.50/0.95 (~ (((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((!!) @ (^[Y1 : a > $o]:
% 1.50/0.95 (((!!) @ (^[Y2 : a > $o]:
% 1.50/0.95 (((((Y0) =
% 1.50/0.95 ((^[Y3 : a]:
% 1.50/0.95 (((Y2 @ Y3) | (Y1 @ Y3))))))) <=>
% 1.50/0.95 (((((!!) @ (^[Y3 : a > $o]:
% 1.50/0.95 (((((((!!) @ (
% 1.50/0.95 ^[Y4 : a]:
% 1.50/0.95 ((
% 1.50/0.95 (Y2 @
% 1.50/0.95 Y4) =>
% 1.50/0.95 (Y3 @ Y4)))))) &
% 1.50/0.95 (((!!) @ (
% 1.50/0.95 ^[Y4 : a]:
% 1.50/0.95 ((
% 1.50/0.95 (Y1 @
% 1.50/0.95 Y4) =>
% 1.50/0.95 (Y3 @ Y4)))))))) =>
% 1.50/0.95 (((!!) @ (
% 1.50/0.95 ^[Y4 : a]:
% 1.50/0.95 (((Y0 @
% 1.50/0.95 Y4) =>
% 1.50/0.95 (Y3 @ Y4))))))))))) &
% 1.50/0.95 (((!!) @ (^[Y3 : a]:
% 1.50/0.95 (((Y2 @ Y3) =>
% 1.50/0.95 (Y0 @ Y3)))))) &
% 1.50/0.95 (((!!) @ (^[Y3 : a]:
% 1.50/0.95 (((Y1 @ Y3) =>
% 1.50/0.95 (Y0 @ Y3)))))))))))))))))))),
% 1.50/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.50/0.95 thf(zip_derived_cl1, plain,
% 1.50/0.95 (~ (((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((!!) @ (^[Y1 : a > $o]:
% 1.50/0.95 ((((('#sk1') =
% 1.50/0.95 ((^[Y2 : a]: (((Y1 @ Y2) | (Y0 @ Y2))))))) <=>
% 1.50/0.95 (((((!!) @ (^[Y2 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y3 : a]:
% 1.50/0.95 (((Y1 @ Y3) =>
% 1.50/0.95 (Y2 @ Y3)))))) &
% 1.50/0.95 (((!!) @ (^[Y3 : a]:
% 1.50/0.95 (((Y0 @ Y3) =>
% 1.50/0.95 (Y2 @ Y3)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y3 : a]:
% 1.50/0.95 ((('#sk1' @
% 1.50/0.95 Y3) => (Y2 @
% 1.50/0.95 Y3))))))))))) &
% 1.50/0.95 (((!!) @ (^[Y2 : a]:
% 1.50/0.95 (((Y1 @ Y2) => ('#sk1' @ Y2)))))) &
% 1.50/0.95 (((!!) @ (^[Y2 : a]:
% 1.50/0.95 (((Y0 @ Y2) => ('#sk1' @ Y2))))))))))))))))),
% 1.50/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 1.50/0.95 thf(zip_derived_cl2, plain,
% 1.50/0.95 (~ (((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 ((((('#sk1') =
% 1.50/0.95 ((^[Y1 : a]: (((Y0 @ Y1) | ('#sk2' @ Y1))))))) <=>
% 1.50/0.95 (((((!!) @ (^[Y1 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y2 : a]:
% 1.50/0.95 (((Y0 @ Y2) => (Y1 @ Y2)))))) &
% 1.50/0.95 (((!!) @ (^[Y2 : a]:
% 1.50/0.95 ((('#sk2' @ Y2) => (Y1 @
% 1.50/0.95 Y2)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y2 : a]:
% 1.50/0.95 ((('#sk1' @ Y2) => (Y1 @ Y2))))))))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => ('#sk1' @ Y1)))))))))))))),
% 1.50/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])).
% 1.50/0.95 thf(zip_derived_cl3, plain,
% 1.50/0.95 (~ ((((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))) <=>
% 1.50/0.95 (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk3' @ Y0) => ('#sk1' @ Y0)))))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))))))),
% 1.50/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
% 1.50/0.95 thf(zip_derived_cl4, plain,
% 1.50/0.95 ((((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))
% 1.50/0.95 != (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk3' @ Y0) => ('#sk1' @ Y0)))))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])).
% 1.50/0.95 thf(zip_derived_cl6, plain,
% 1.50/0.95 ((((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))
% 1.50/0.95 != (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 ((^[Y0 : a]: ((('#sk3' @ Y0) => ('#sk1' @ Y0)))) @ '#sk4') &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))))),
% 1.50/0.95 inference('quantifier_rw', [status(thm)], [zip_derived_cl4])).
% 1.50/0.95 thf(zip_derived_cl7, plain,
% 1.50/0.95 ((((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))
% 1.50/0.95 != (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))))),
% 1.50/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl6])).
% 1.50/0.95 thf(zip_derived_cl14, plain,
% 1.50/0.95 ((~ ((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))
% 1.50/0.95 | ~ (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))))),
% 1.50/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl7])).
% 1.50/0.95 thf(zip_derived_cl18, plain,
% 1.50/0.95 (((('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl14])).
% 1.50/0.95 thf(zip_derived_cl19, plain,
% 1.50/0.95 ((~ (((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]: ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1)))))))))))
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4')))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])).
% 1.50/0.95 thf(zip_derived_cl20, plain,
% 1.50/0.95 ((~ (((((((!!) @ (^[Y0 : a]: ((('#sk3' @ Y0) => ('#sk5' @ Y0)))))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk5' @ Y0)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk5' @ Y0))))))))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))))),
% 1.50/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])).
% 1.50/0.95 thf(zip_derived_cl22, plain,
% 1.50/0.95 ((~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk5' @ Y0))))))
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4')))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])).
% 1.50/0.95 thf(zip_derived_cl25, plain,
% 1.50/0.95 ((~ ((('#sk1' @ '#sk6') => ('#sk5' @ '#sk6')))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))))),
% 1.50/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl22])).
% 1.50/0.95 thf(zip_derived_cl29, plain,
% 1.50/0.95 ((~ ('#sk5' @ '#sk6')
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4')))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])).
% 1.50/0.95 thf(zip_derived_cl21, plain,
% 1.50/0.95 (( (((((!!) @ (^[Y0 : a]: ((('#sk3' @ Y0) => ('#sk5' @ Y0)))))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk5' @ Y0))))))))
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4')))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])).
% 1.50/0.95 thf(zip_derived_cl23, plain,
% 1.50/0.95 (( (((!!) @ (^[Y0 : a]: ((('#sk3' @ Y0) => ('#sk5' @ Y0))))))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))))),
% 1.50/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
% 1.50/0.95 thf(zip_derived_cl26, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ( ((('#sk3' @ X2) => ('#sk5' @ X2)))
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4')))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])).
% 1.50/0.95 thf(zip_derived_cl30, plain,
% 1.50/0.95 (( ('#form7') | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl36, plain,
% 1.50/0.95 ((~ ('#form7')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | ~ ('#sk5' @ '#sk6'))),
% 1.50/0.95 inference('renaming', [status(thm)], [zip_derived_cl29, zip_derived_cl30])).
% 1.50/0.95 thf(zip_derived_cl26, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ( ((('#sk3' @ X2) => ('#sk5' @ X2)))
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4')))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])).
% 1.50/0.95 thf(zip_derived_cl30, plain,
% 1.50/0.95 (( ('#form7') | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl33, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#form7')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | ((('#sk3' @ X2) => ('#sk5' @ X2))))),
% 1.50/0.95 inference('renaming', [status(thm)], [zip_derived_cl26, zip_derived_cl30])).
% 1.50/0.95 thf(zip_derived_cl37, plain,
% 1.50/0.95 (( ('#form8')
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl42, plain,
% 1.50/0.95 ((~ ('#form8')
% 1.50/0.95 | ~ ('#sk5' @ '#sk6')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#form7'))),
% 1.50/0.95 inference('renaming', [status(thm)], [zip_derived_cl36, zip_derived_cl37])).
% 1.50/0.95 thf(zip_derived_cl30, plain,
% 1.50/0.95 (( ('#form7') | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl31, plain, (( ('#sk3' @ '#sk4') | ('#form7'))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl30])).
% 1.50/0.95 thf(zip_derived_cl31, plain, (( ('#sk3' @ '#sk4') | ('#form7'))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl30])).
% 1.50/0.95 thf(zip_derived_cl4, plain,
% 1.50/0.95 ((((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))
% 1.50/0.95 != (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk3' @ Y0) => ('#sk1' @ Y0)))))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])).
% 1.50/0.95 thf(zip_derived_cl5, plain,
% 1.50/0.95 (![X-81 : a]:
% 1.50/0.95 ( ((^[Y0 : a]: ((('#sk3' @ Y0) => ('#sk1' @ Y0)))) @ X-81)
% 1.50/0.95 | (((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))
% 1.50/0.95 != (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 ($false) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))))))),
% 1.50/0.95 inference('forall_hoist', [status(thm)], [zip_derived_cl4])).
% 1.50/0.95 thf(zip_derived_cl8, plain,
% 1.50/0.95 (![X-81 : a]:
% 1.50/0.95 ( ((('#sk3' @ X-81) => ('#sk1' @ X-81)))
% 1.50/0.95 | (((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))
% 1.50/0.95 != (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 ($false) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))))))),
% 1.50/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl5])).
% 1.50/0.95 thf(zip_derived_cl9, plain,
% 1.50/0.95 (![X-81 : a]:
% 1.50/0.95 ( ((('#sk3' @ X-81) => ('#sk1' @ X-81)))
% 1.50/0.95 | ((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))))),
% 1.50/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl8])).
% 1.50/0.95 thf(zip_derived_cl10, plain,
% 1.50/0.95 (![X0 : a]:
% 1.50/0.95 ( ((('#sk3' @ X0) => ('#sk1' @ X0)))
% 1.50/0.95 | ((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))))),
% 1.50/0.95 inference('cannonize vars', [status(thm)], [zip_derived_cl9])).
% 1.50/0.95 thf(zip_derived_cl11, plain,
% 1.50/0.95 (![X0 : a]:
% 1.50/0.95 ( ((('#sk3' @ X0) => ('#sk1' @ X0)))
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])).
% 1.50/0.95 thf(zip_derived_cl12, plain,
% 1.50/0.95 (![X0 : a]:
% 1.50/0.95 (~ ('#sk3' @ X0)
% 1.50/0.95 | ('#sk1' @ X0)
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])).
% 1.50/0.95 thf(zip_derived_cl47, plain,
% 1.50/0.95 (( ('#form7')
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ('#sk1' @ '#sk4'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl12])).
% 1.50/0.95 thf(zip_derived_cl32, plain, ((~ ('#sk1' @ '#sk4') | ('#form7'))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl30])).
% 1.50/0.95 thf(zip_derived_cl49, plain,
% 1.50/0.95 (((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ('#form7'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl47, zip_derived_cl32])).
% 1.50/0.95 thf(zip_derived_cl50, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1)
% 1.50/0.95 = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))) @ X1))
% 1.50/0.95 | ('#form7'))),
% 1.50/0.95 inference('ho_complete_eq', [status(thm)], [zip_derived_cl49])).
% 1.50/0.95 thf(zip_derived_cl51, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1) = ((('#sk3' @ X1) | ('#sk2' @ X1)))) | ('#form7'))),
% 1.50/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl50])).
% 1.50/0.95 thf(zip_derived_cl77, plain,
% 1.50/0.95 (((('#sk1' @ '#sk4') = ((($true) | ('#sk2' @ '#sk4'))))
% 1.50/0.95 | ('#form7')
% 1.50/0.95 | ('#form7'))),
% 1.50/0.95 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl51])).
% 1.50/0.95 thf(zip_derived_cl83, plain,
% 1.50/0.95 (( ('#form7') | (('#sk1' @ '#sk4') = ((($true) | ('#sk2' @ '#sk4')))))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl77])).
% 1.50/0.95 thf(zip_derived_cl84, plain, (( ('#form7') | ('#sk1' @ '#sk4'))),
% 1.50/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl83])).
% 1.50/0.95 thf(zip_derived_cl32, plain, ((~ ('#sk1' @ '#sk4') | ('#form7'))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl30])).
% 1.50/0.95 thf(zip_derived_cl87, plain, ( ('#form7')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl84, zip_derived_cl32])).
% 1.50/0.95 thf(zip_derived_cl88, plain,
% 1.50/0.95 ((~ ('#form8')
% 1.50/0.95 | ~ ('#sk5' @ '#sk6')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl87])).
% 1.50/0.95 thf(zip_derived_cl37, plain,
% 1.50/0.95 (( ('#form8')
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl38, plain,
% 1.50/0.95 ((~ ((('#sk2' @ '#sk9') => ('#sk1' @ '#sk9'))) | ('#form8'))),
% 1.50/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl37])).
% 1.50/0.95 thf(zip_derived_cl45, plain, ((~ ('#sk1' @ '#sk9') | ('#form8'))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl38])).
% 1.50/0.95 thf(zip_derived_cl7, plain,
% 1.50/0.95 ((((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))
% 1.50/0.95 != (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))))),
% 1.50/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl6])).
% 1.50/0.95 thf(zip_derived_cl13, plain,
% 1.50/0.95 (( ((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))
% 1.50/0.95 | (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))))),
% 1.50/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl7])).
% 1.50/0.95 thf(zip_derived_cl17, plain,
% 1.50/0.95 (((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | (((((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]:
% 1.50/0.95 ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1))))))))))) &
% 1.50/0.95 ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl13])).
% 1.50/0.95 thf(zip_derived_cl105, plain,
% 1.50/0.95 (( (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])).
% 1.50/0.95 thf(zip_derived_cl105, plain,
% 1.50/0.95 (( (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])).
% 1.50/0.95 thf(zip_derived_cl115, plain,
% 1.50/0.95 ((~ ('#form8')
% 1.50/0.95 | (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl37, plain,
% 1.50/0.95 (( ('#form8')
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl117, plain,
% 1.50/0.95 (( ('#form8')
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('renaming', [status(thm)],
% 1.50/0.95 [zip_derived_cl105, zip_derived_cl115, zip_derived_cl37])).
% 1.50/0.95 thf(zip_derived_cl141, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1)
% 1.50/0.95 = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))) @ X1))
% 1.50/0.95 | ('#form8'))),
% 1.50/0.95 inference('ho_complete_eq', [status(thm)], [zip_derived_cl117])).
% 1.50/0.95 thf(zip_derived_cl142, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1) = ((('#sk3' @ X1) | ('#sk2' @ X1)))) | ('#form8'))),
% 1.50/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl141])).
% 1.50/0.95 thf(zip_derived_cl150, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ( ('#sk3' @ X1)
% 1.50/0.95 | (('#sk1' @ X1) = ((($false) | ('#sk2' @ X1))))
% 1.50/0.95 | ('#form8'))),
% 1.50/0.95 inference('bool_hoist', [status(thm)], [zip_derived_cl142])).
% 1.50/0.95 thf(zip_derived_cl151, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ( ('#sk3' @ X1) | (('#sk1' @ X1) = ('#sk2' @ X1)) | ('#form8'))),
% 1.50/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl150])).
% 1.50/0.95 thf(zip_derived_cl164, plain,
% 1.50/0.95 ((~ ('#sk2' @ '#sk9') | ('#form8') | ('#form8') | ('#sk3' @ '#sk9'))),
% 1.50/0.95 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl151])).
% 1.50/0.95 thf(zip_derived_cl180, plain,
% 1.50/0.95 (( ('#sk3' @ '#sk9') | ('#form8') | ~ ('#sk2' @ '#sk9'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl164])).
% 1.50/0.95 thf(zip_derived_cl44, plain, (( ('#sk2' @ '#sk9') | ('#form8'))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl38])).
% 1.50/0.95 thf(zip_derived_cl216, plain, (( ('#form8') | ('#sk3' @ '#sk9'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl180, zip_derived_cl44])).
% 1.50/0.95 thf(zip_derived_cl142, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1) = ((('#sk3' @ X1) | ('#sk2' @ X1)))) | ('#form8'))),
% 1.50/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl141])).
% 1.50/0.95 thf(zip_derived_cl217, plain,
% 1.50/0.95 (((('#sk1' @ '#sk9') = ((($true) | ('#sk2' @ '#sk9'))))
% 1.50/0.95 | ('#form8')
% 1.50/0.95 | ('#form8'))),
% 1.50/0.95 inference('sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl142])).
% 1.50/0.95 thf(zip_derived_cl221, plain,
% 1.50/0.95 (( ('#form8') | (('#sk1' @ '#sk9') = ((($true) | ('#sk2' @ '#sk9')))))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl217])).
% 1.50/0.95 thf(zip_derived_cl222, plain, (( ('#form8') | ('#sk1' @ '#sk9'))),
% 1.50/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl221])).
% 1.50/0.95 thf(zip_derived_cl45, plain, ((~ ('#sk1' @ '#sk9') | ('#form8'))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl38])).
% 1.50/0.95 thf(zip_derived_cl225, plain, ( ('#form8')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl222, zip_derived_cl45])).
% 1.50/0.95 thf(zip_derived_cl226, plain,
% 1.50/0.95 ((~ ('#sk5' @ '#sk6')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl225])).
% 1.50/0.95 thf(zip_derived_cl28, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk6')
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4')))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])).
% 1.50/0.95 thf(zip_derived_cl30, plain,
% 1.50/0.95 (( ('#form7') | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl35, plain,
% 1.50/0.95 ((~ ('#form7')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('renaming', [status(thm)], [zip_derived_cl28, zip_derived_cl30])).
% 1.50/0.95 thf(zip_derived_cl37, plain,
% 1.50/0.95 (( ('#form8')
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl41, plain,
% 1.50/0.95 ((~ ('#form8')
% 1.50/0.95 | ('#sk1' @ '#sk6')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#form7'))),
% 1.50/0.95 inference('renaming', [status(thm)], [zip_derived_cl35, zip_derived_cl37])).
% 1.50/0.95 thf(zip_derived_cl225, plain, ( ('#form8')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl222, zip_derived_cl45])).
% 1.50/0.95 thf(zip_derived_cl87, plain, ( ('#form7')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl84, zip_derived_cl32])).
% 1.50/0.95 thf(zip_derived_cl238, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk6')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('demod', [status(thm)],
% 1.50/0.95 [zip_derived_cl41, zip_derived_cl225, zip_derived_cl87])).
% 1.50/0.95 thf(zip_derived_cl239, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk6')
% 1.50/0.95 | (('#sk1' @ '#sk10') != ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10')))))),
% 1.50/0.95 inference('neg_ext', [status(thm)], [zip_derived_cl238])).
% 1.50/0.95 thf(zip_derived_cl262, plain,
% 1.50/0.95 ((('#form68') = ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl264, plain,
% 1.50/0.95 ((~ ('#form68') | ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10'))))),
% 1.50/0.95 inference('lazy_cnf_equiv', [status(thm)], [zip_derived_cl262])).
% 1.50/0.95 thf(zip_derived_cl267, plain,
% 1.50/0.95 (( ('#sk3' @ '#sk10') | ('#sk2' @ '#sk10') | ~ ('#form68'))),
% 1.50/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl264])).
% 1.50/0.95 thf(zip_derived_cl115, plain,
% 1.50/0.95 ((~ ('#form8')
% 1.50/0.95 | (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl116, plain,
% 1.50/0.95 (![X2 : a]: ( ((('#sk2' @ X2) => ('#sk1' @ X2))) | ~ ('#form8'))),
% 1.50/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl115])).
% 1.50/0.95 thf(zip_derived_cl121, plain,
% 1.50/0.95 (![X2 : a]: (~ ('#sk2' @ X2) | ('#sk1' @ X2) | ~ ('#form8'))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl116])).
% 1.50/0.95 thf(zip_derived_cl225, plain, ( ('#form8')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl222, zip_derived_cl45])).
% 1.50/0.95 thf(zip_derived_cl231, plain,
% 1.50/0.95 (![X2 : a]: (~ ('#sk2' @ X2) | ('#sk1' @ X2))),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl225])).
% 1.50/0.95 thf(zip_derived_cl288, plain,
% 1.50/0.95 ((~ ('#form68') | ('#sk3' @ '#sk10') | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl231])).
% 1.50/0.95 thf(zip_derived_cl12, plain,
% 1.50/0.95 (![X0 : a]:
% 1.50/0.95 (~ ('#sk3' @ X0)
% 1.50/0.95 | ('#sk1' @ X0)
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])).
% 1.50/0.95 thf(zip_derived_cl314, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk10')
% 1.50/0.95 | ~ ('#form68')
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl12])).
% 1.50/0.95 thf(zip_derived_cl328, plain,
% 1.50/0.95 (((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#form68')
% 1.50/0.95 | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl314])).
% 1.50/0.95 thf(zip_derived_cl238, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk6')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('demod', [status(thm)],
% 1.50/0.95 [zip_derived_cl41, zip_derived_cl225, zip_derived_cl87])).
% 1.50/0.95 thf(zip_derived_cl372, plain,
% 1.50/0.95 (((('#sk1') != ('#sk1'))
% 1.50/0.95 | ('#sk1' @ '#sk10')
% 1.50/0.95 | ~ ('#form68')
% 1.50/0.95 | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl238])).
% 1.50/0.95 thf(zip_derived_cl378, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk6') | ~ ('#form68') | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl372])).
% 1.50/0.95 thf(zip_derived_cl239, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk6')
% 1.50/0.95 | (('#sk1' @ '#sk10') != ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10')))))),
% 1.50/0.95 inference('neg_ext', [status(thm)], [zip_derived_cl238])).
% 1.50/0.95 thf(zip_derived_cl262, plain,
% 1.50/0.95 ((('#form68') = ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl265, plain,
% 1.50/0.95 ((~ ((('#sk1' @ '#sk10') = ('#form68'))) | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('renaming', [status(thm)],
% 1.50/0.95 [zip_derived_cl239, zip_derived_cl262])).
% 1.50/0.95 thf(zip_derived_cl266, plain,
% 1.50/0.95 (((('#sk1' @ '#sk10') != ('#form68')) | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)],
% 1.50/0.95 [zip_derived_cl265])).
% 1.50/0.95 thf(zip_derived_cl270, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk10') | ('#form68') | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl266])).
% 1.50/0.95 thf(zip_derived_cl380, plain, (( ('#sk1' @ '#sk10') | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl378, zip_derived_cl270])).
% 1.50/0.95 thf(zip_derived_cl103, plain,
% 1.50/0.95 (( (((!!) @ (^[Y0 : a > $o]:
% 1.50/0.95 (((((((!!) @ (^[Y1 : a]: ((('#sk3' @ Y1) => (Y0 @ Y1)))))) &
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk2' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1)))))))))))
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])).
% 1.50/0.95 thf(zip_derived_cl106, plain,
% 1.50/0.95 (![X2 : a > $o]:
% 1.50/0.95 ( (((((((!!) @ (^[Y0 : a]: ((('#sk3' @ Y0) => (X2 @ Y0)))))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => (X2 @ Y0)))))))) =>
% 1.50/0.95 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => (X2 @ Y0))))))))
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl103])).
% 1.50/0.95 thf(zip_derived_cl108, plain,
% 1.50/0.95 (( (((((((!!) @ (^[Y0 : a]:
% 1.50/0.95 ((('#sk3' @ Y0) => ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))) &
% 1.50/0.95 (((!!) @ (^[Y0 : a]:
% 1.50/0.95 ((('#sk2' @ Y0) => ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))))) =>
% 1.50/0.95 (((!!) @ (^[Y0 : a]:
% 1.50/0.95 ((('#sk1' @ Y0) => ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))))))
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('triggered_bool_instantiation', [status(thm)],
% 1.50/0.95 [zip_derived_cl106])).
% 1.50/0.95 thf(zip_derived_cl584, plain,
% 1.50/0.95 (( (((!!) @ (^[Y0 : a]:
% 1.50/0.95 ((('#sk1' @ Y0) => ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))))
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl108])).
% 1.50/0.95 thf(zip_derived_cl585, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ( ((('#sk1' @ X2) => ((('#sk3' @ X2) | ('#sk2' @ X2)))))
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl584])).
% 1.50/0.95 thf(zip_derived_cl586, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#sk1' @ X2)
% 1.50/0.95 | ((('#sk3' @ X2) | ('#sk2' @ X2)))
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl585])).
% 1.50/0.95 thf(zip_derived_cl587, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ( ('#sk3' @ X2)
% 1.50/0.95 | ('#sk2' @ X2)
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#sk1' @ X2))),
% 1.50/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl586])).
% 1.50/0.95 thf(zip_derived_cl589, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk6')
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ('#sk2' @ '#sk10')
% 1.50/0.95 | ('#sk3' @ '#sk10'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl380, zip_derived_cl587])).
% 1.50/0.95 thf(zip_derived_cl238, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk6')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('demod', [status(thm)],
% 1.50/0.95 [zip_derived_cl41, zip_derived_cl225, zip_derived_cl87])).
% 1.50/0.95 thf(zip_derived_cl711, plain,
% 1.50/0.95 (( ('#sk3' @ '#sk10') | ('#sk2' @ '#sk10') | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl589, zip_derived_cl238])).
% 1.50/0.95 thf(zip_derived_cl262, plain,
% 1.50/0.95 ((('#form68') = ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl263, plain,
% 1.50/0.95 (( ('#form68') | ~ ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10'))))),
% 1.50/0.95 inference('lazy_cnf_equiv', [status(thm)], [zip_derived_cl262])).
% 1.50/0.95 thf(zip_derived_cl269, plain, ((~ ('#sk2' @ '#sk10') | ('#form68'))),
% 1.50/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl263])).
% 1.50/0.95 thf(zip_derived_cl717, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk6') | ('#sk3' @ '#sk10') | ('#form68'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl711, zip_derived_cl269])).
% 1.50/0.95 thf(zip_derived_cl268, plain, ((~ ('#sk3' @ '#sk10') | ('#form68'))),
% 1.50/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl263])).
% 1.50/0.95 thf(zip_derived_cl758, plain, (( ('#form68') | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl717, zip_derived_cl268])).
% 1.50/0.95 thf(zip_derived_cl380, plain, (( ('#sk1' @ '#sk10') | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl378, zip_derived_cl270])).
% 1.50/0.95 thf(zip_derived_cl266, plain,
% 1.50/0.95 (((('#sk1' @ '#sk10') != ('#form68')) | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)],
% 1.50/0.95 [zip_derived_cl265])).
% 1.50/0.95 thf(zip_derived_cl271, plain,
% 1.50/0.95 ((~ ('#sk1' @ '#sk10') | ~ ('#form68') | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl266])).
% 1.50/0.95 thf(zip_derived_cl381, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk6') | ('#sk1' @ '#sk6') | ~ ('#form68'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl380, zip_derived_cl271])).
% 1.50/0.95 thf(zip_derived_cl387, plain, ((~ ('#form68') | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 1.50/0.95 thf(zip_derived_cl759, plain, ( ('#sk1' @ '#sk6')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl758, zip_derived_cl387])).
% 1.50/0.95 thf(zip_derived_cl587, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ( ('#sk3' @ X2)
% 1.50/0.95 | ('#sk2' @ X2)
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#sk1' @ X2))),
% 1.50/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl586])).
% 1.50/0.95 thf(zip_derived_cl763, plain,
% 1.50/0.95 (((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ('#sk2' @ '#sk6')
% 1.50/0.95 | ('#sk3' @ '#sk6'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl759, zip_derived_cl587])).
% 1.50/0.95 thf(zip_derived_cl773, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1)
% 1.50/0.95 = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))) @ X1))
% 1.50/0.95 | ('#sk3' @ '#sk6')
% 1.50/0.95 | ('#sk2' @ '#sk6'))),
% 1.50/0.95 inference('ho_complete_eq', [status(thm)], [zip_derived_cl763])).
% 1.50/0.95 thf(zip_derived_cl774, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1) = ((('#sk3' @ X1) | ('#sk2' @ X1))))
% 1.50/0.95 | ('#sk3' @ '#sk6')
% 1.50/0.95 | ('#sk2' @ '#sk6'))),
% 1.50/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl773])).
% 1.50/0.95 thf(zip_derived_cl774, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1) = ((('#sk3' @ X1) | ('#sk2' @ X1))))
% 1.50/0.95 | ('#sk3' @ '#sk6')
% 1.50/0.95 | ('#sk2' @ '#sk6'))),
% 1.50/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl773])).
% 1.50/0.95 thf(zip_derived_cl797, plain,
% 1.50/0.95 (![X1 : a]: (~ ('#form152' @ X1) | ((('#sk3' @ X1) | ('#sk2' @ X1))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl387, plain, ((~ ('#form68') | ('#sk1' @ '#sk6'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 1.50/0.95 thf(zip_derived_cl587, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ( ('#sk3' @ X2)
% 1.50/0.95 | ('#sk2' @ X2)
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#sk1' @ X2))),
% 1.50/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl586])).
% 1.50/0.95 thf(zip_derived_cl590, plain,
% 1.50/0.95 ((~ ('#form68')
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ('#sk2' @ '#sk6')
% 1.50/0.95 | ('#sk3' @ '#sk6'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl587])).
% 1.50/0.95 thf(zip_derived_cl660, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1)
% 1.50/0.95 = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))) @ X1))
% 1.50/0.95 | ('#sk3' @ '#sk6')
% 1.50/0.95 | ('#sk2' @ '#sk6')
% 1.50/0.95 | ~ ('#form68'))),
% 1.50/0.95 inference('ho_complete_eq', [status(thm)], [zip_derived_cl590])).
% 1.50/0.95 thf(zip_derived_cl661, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1) = ((('#sk3' @ X1) | ('#sk2' @ X1))))
% 1.50/0.95 | ('#sk3' @ '#sk6')
% 1.50/0.95 | ('#sk2' @ '#sk6')
% 1.50/0.95 | ~ ('#form68'))),
% 1.50/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl660])).
% 1.50/0.95 thf(zip_derived_cl692, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ( ('#sk1' @ X1)
% 1.50/0.95 | ~ ((('#sk3' @ X1) | ('#sk2' @ X1)))
% 1.50/0.95 | ~ ('#form68')
% 1.50/0.95 | ('#sk2' @ '#sk6')
% 1.50/0.95 | ('#sk3' @ '#sk6'))),
% 1.50/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl661])).
% 1.50/0.95 thf(zip_derived_cl701, plain,
% 1.50/0.95 (![X1 : a]: ( ('#form152' @ X1) | ~ ((('#sk3' @ X1) | ('#sk2' @ X1))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl799, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ( ((('#sk1' @ X1) = ('#form152' @ X1)))
% 1.50/0.95 | ('#sk2' @ '#sk6')
% 1.50/0.95 | ('#sk3' @ '#sk6'))),
% 1.50/0.95 inference('renaming', [status(thm)],
% 1.50/0.95 [zip_derived_cl774, zip_derived_cl797, zip_derived_cl701])).
% 1.50/0.95 thf(zip_derived_cl800, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1) = ('#form152' @ X1))
% 1.50/0.95 | ('#sk2' @ '#sk6')
% 1.50/0.95 | ('#sk3' @ '#sk6'))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)],
% 1.50/0.95 [zip_derived_cl799])).
% 1.50/0.95 thf(zip_derived_cl759, plain, ( ('#sk1' @ '#sk6')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl758, zip_derived_cl387])).
% 1.50/0.95 thf(zip_derived_cl869, plain,
% 1.50/0.95 (( ('#form152' @ '#sk6') | ('#sk3' @ '#sk6') | ('#sk2' @ '#sk6'))),
% 1.50/0.95 inference('sup+', [status(thm)], [zip_derived_cl800, zip_derived_cl759])).
% 1.50/0.95 thf(zip_derived_cl797, plain,
% 1.50/0.95 (![X1 : a]: (~ ('#form152' @ X1) | ((('#sk3' @ X1) | ('#sk2' @ X1))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl798, plain,
% 1.50/0.95 (![X1 : a]: ( ('#sk3' @ X1) | ('#sk2' @ X1) | ~ ('#form152' @ X1))),
% 1.50/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl797])).
% 1.50/0.95 thf(zip_derived_cl954, plain, (( ('#sk2' @ '#sk6') | ('#sk3' @ '#sk6'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl869, zip_derived_cl798])).
% 1.50/0.95 thf(zip_derived_cl33, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#form7')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | ((('#sk3' @ X2) => ('#sk5' @ X2))))),
% 1.50/0.95 inference('renaming', [status(thm)], [zip_derived_cl26, zip_derived_cl30])).
% 1.50/0.95 thf(zip_derived_cl37, plain,
% 1.50/0.95 (( ('#form8')
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl39, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#form8')
% 1.50/0.95 | ((('#sk3' @ X2) => ('#sk5' @ X2)))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#form7'))),
% 1.50/0.95 inference('renaming', [status(thm)], [zip_derived_cl33, zip_derived_cl37])).
% 1.50/0.95 thf(zip_derived_cl43, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#sk3' @ X2)
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | ~ ('#form7')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#form8'))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])).
% 1.50/0.95 thf(zip_derived_cl87, plain, ( ('#form7')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl84, zip_derived_cl32])).
% 1.50/0.95 thf(zip_derived_cl225, plain, ( ('#form8')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl222, zip_derived_cl45])).
% 1.50/0.95 thf(zip_derived_cl253, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#sk3' @ X2)
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('demod', [status(thm)],
% 1.50/0.95 [zip_derived_cl43, zip_derived_cl87, zip_derived_cl225])).
% 1.50/0.95 thf(zip_derived_cl254, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#sk3' @ X2)
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | (('#sk1' @ '#sk10') != ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10')))))),
% 1.50/0.95 inference('neg_ext', [status(thm)], [zip_derived_cl253])).
% 1.50/0.95 thf(zip_derived_cl262, plain,
% 1.50/0.95 ((('#form68') = ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl521, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ((('#sk1' @ '#sk10') = ('#form68')))
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | ~ ('#sk3' @ X2))),
% 1.50/0.95 inference('renaming', [status(thm)],
% 1.50/0.95 [zip_derived_cl254, zip_derived_cl262])).
% 1.50/0.95 thf(zip_derived_cl522, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ((('#sk1' @ '#sk10') != ('#form68'))
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | ~ ('#sk3' @ X2))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)],
% 1.50/0.95 [zip_derived_cl521])).
% 1.50/0.95 thf(zip_derived_cl525, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ( ('#sk1' @ '#sk10') | ('#form68') | ~ ('#sk3' @ X2) | ('#sk5' @ X2))),
% 1.50/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl522])).
% 1.50/0.95 thf(zip_derived_cl288, plain,
% 1.50/0.95 ((~ ('#form68') | ('#sk3' @ '#sk10') | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl231])).
% 1.50/0.95 thf(zip_derived_cl328, plain,
% 1.50/0.95 (((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#form68')
% 1.50/0.95 | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl314])).
% 1.50/0.95 thf(zip_derived_cl374, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1)
% 1.50/0.95 = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))) @ X1))
% 1.50/0.95 | ('#sk1' @ '#sk10')
% 1.50/0.95 | ~ ('#form68'))),
% 1.50/0.95 inference('ho_complete_eq', [status(thm)], [zip_derived_cl328])).
% 1.50/0.95 thf(zip_derived_cl375, plain,
% 1.50/0.95 (![X1 : a]:
% 1.50/0.95 ((('#sk1' @ X1) = ((('#sk3' @ X1) | ('#sk2' @ X1))))
% 1.50/0.95 | ('#sk1' @ '#sk10')
% 1.50/0.95 | ~ ('#form68'))),
% 1.50/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl374])).
% 1.50/0.95 thf(zip_derived_cl445, plain,
% 1.50/0.95 (((('#sk1' @ '#sk10') = ((($true) | ('#sk2' @ '#sk10'))))
% 1.50/0.95 | ('#sk1' @ '#sk10')
% 1.50/0.95 | ~ ('#form68')
% 1.50/0.95 | ~ ('#form68')
% 1.50/0.95 | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl375])).
% 1.50/0.95 thf(zip_derived_cl453, plain,
% 1.50/0.95 ((~ ('#form68')
% 1.50/0.95 | ('#sk1' @ '#sk10')
% 1.50/0.95 | (('#sk1' @ '#sk10') = ((($true) | ('#sk2' @ '#sk10')))))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl445])).
% 1.50/0.95 thf(zip_derived_cl454, plain,
% 1.50/0.95 ((~ ('#form68') | ('#sk1' @ '#sk10') | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl453])).
% 1.50/0.95 thf(zip_derived_cl455, plain, (( ('#sk1' @ '#sk10') | ~ ('#form68'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl454])).
% 1.50/0.95 thf(zip_derived_cl596, plain,
% 1.50/0.95 (![X2 : a]: ( ('#sk5' @ X2) | ~ ('#sk3' @ X2) | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl525, zip_derived_cl455])).
% 1.50/0.95 thf(zip_derived_cl956, plain,
% 1.50/0.95 (( ('#sk2' @ '#sk6') | ('#sk1' @ '#sk10') | ('#sk5' @ '#sk6'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl954, zip_derived_cl596])).
% 1.50/0.95 thf(zip_derived_cl24, plain,
% 1.50/0.95 (( (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk5' @ Y0))))))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))))),
% 1.50/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
% 1.50/0.95 thf(zip_derived_cl27, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ( ((('#sk2' @ X2) => ('#sk5' @ X2)))
% 1.50/0.95 | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4')))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])).
% 1.50/0.95 thf(zip_derived_cl30, plain,
% 1.50/0.95 (( ('#form7') | ~ ((('#sk3' @ '#sk4') => ('#sk1' @ '#sk4'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl34, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#form7')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0))))))
% 1.50/0.95 | ((('#sk2' @ X2) => ('#sk5' @ X2))))),
% 1.50/0.95 inference('renaming', [status(thm)], [zip_derived_cl27, zip_derived_cl30])).
% 1.50/0.95 thf(zip_derived_cl37, plain,
% 1.50/0.95 (( ('#form8')
% 1.50/0.95 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ Y0)))))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl40, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#form8')
% 1.50/0.95 | ((('#sk2' @ X2) => ('#sk5' @ X2)))
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#form7'))),
% 1.50/0.95 inference('renaming', [status(thm)], [zip_derived_cl34, zip_derived_cl37])).
% 1.50/0.95 thf(zip_derived_cl46, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#sk2' @ X2)
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | ~ ('#form7')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#form8'))),
% 1.50/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])).
% 1.50/0.95 thf(zip_derived_cl87, plain, ( ('#form7')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl84, zip_derived_cl32])).
% 1.50/0.95 thf(zip_derived_cl225, plain, ( ('#form8')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl222, zip_derived_cl45])).
% 1.50/0.95 thf(zip_derived_cl284, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#sk2' @ X2)
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('demod', [status(thm)],
% 1.50/0.95 [zip_derived_cl46, zip_derived_cl87, zip_derived_cl225])).
% 1.50/0.95 thf(zip_derived_cl285, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#sk2' @ X2)
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | (('#sk1' @ '#sk10') != ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10')))))),
% 1.50/0.95 inference('neg_ext', [status(thm)], [zip_derived_cl284])).
% 1.50/0.95 thf(zip_derived_cl262, plain,
% 1.50/0.95 ((('#form68') = ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl602, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ((('#sk1' @ '#sk10') = ('#form68')))
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | ~ ('#sk2' @ X2))),
% 1.50/0.95 inference('renaming', [status(thm)],
% 1.50/0.95 [zip_derived_cl285, zip_derived_cl262])).
% 1.50/0.95 thf(zip_derived_cl603, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ((('#sk1' @ '#sk10') != ('#form68'))
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | ~ ('#sk2' @ X2))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)],
% 1.50/0.95 [zip_derived_cl602])).
% 1.50/0.95 thf(zip_derived_cl606, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ( ('#sk1' @ '#sk10') | ('#form68') | ~ ('#sk2' @ X2) | ('#sk5' @ X2))),
% 1.50/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl603])).
% 1.50/0.95 thf(zip_derived_cl455, plain, (( ('#sk1' @ '#sk10') | ~ ('#form68'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl454])).
% 1.50/0.95 thf(zip_derived_cl647, plain,
% 1.50/0.95 (![X2 : a]: ( ('#sk5' @ X2) | ~ ('#sk2' @ X2) | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl606, zip_derived_cl455])).
% 1.50/0.95 thf(zip_derived_cl1041, plain, (( ('#sk5' @ '#sk6') | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl956, zip_derived_cl647])).
% 1.50/0.95 thf(zip_derived_cl328, plain,
% 1.50/0.95 (((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#form68')
% 1.50/0.95 | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl314])).
% 1.50/0.95 thf(zip_derived_cl226, plain,
% 1.50/0.95 ((~ ('#sk5' @ '#sk6')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl225])).
% 1.50/0.95 thf(zip_derived_cl373, plain,
% 1.50/0.95 (((('#sk1') != ('#sk1'))
% 1.50/0.95 | ('#sk1' @ '#sk10')
% 1.50/0.95 | ~ ('#form68')
% 1.50/0.95 | ~ ('#sk5' @ '#sk6'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl226])).
% 1.50/0.95 thf(zip_derived_cl379, plain,
% 1.50/0.95 ((~ ('#sk5' @ '#sk6') | ~ ('#form68') | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl373])).
% 1.50/0.95 thf(zip_derived_cl42, plain,
% 1.50/0.95 ((~ ('#form8')
% 1.50/0.95 | ~ ('#sk5' @ '#sk6')
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#form7'))),
% 1.50/0.95 inference('renaming', [status(thm)], [zip_derived_cl36, zip_derived_cl37])).
% 1.50/0.95 thf(zip_derived_cl54, plain,
% 1.50/0.95 ((~ ('#form8')
% 1.50/0.95 | ~ ('#sk5' @ '#sk6')
% 1.50/0.95 | (('#sk1' @ '#sk10') != ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10'))))
% 1.50/0.95 | ~ ('#form7'))),
% 1.50/0.95 inference('neg_ext', [status(thm)], [zip_derived_cl42])).
% 1.50/0.95 thf(zip_derived_cl87, plain, ( ('#form7')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl84, zip_derived_cl32])).
% 1.50/0.95 thf(zip_derived_cl89, plain,
% 1.50/0.95 ((~ ('#form8')
% 1.50/0.95 | ~ ('#sk5' @ '#sk6')
% 1.50/0.95 | (('#sk1' @ '#sk10') != ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10')))))),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl87])).
% 1.50/0.95 thf(zip_derived_cl225, plain, ( ('#form8')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl222, zip_derived_cl45])).
% 1.50/0.95 thf(zip_derived_cl227, plain,
% 1.50/0.95 ((~ ('#sk5' @ '#sk6')
% 1.50/0.95 | (('#sk1' @ '#sk10') != ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10')))))),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl225])).
% 1.50/0.95 thf(zip_derived_cl234, plain,
% 1.50/0.95 (( ('#sk1' @ '#sk10')
% 1.50/0.95 | ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10')))
% 1.50/0.95 | ~ ('#sk5' @ '#sk6'))),
% 1.50/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl227])).
% 1.50/0.95 thf(zip_derived_cl262, plain,
% 1.50/0.95 ((('#form68') = ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl369, plain,
% 1.50/0.95 (( ('#form68') | ~ ('#sk5' @ '#sk6') | ('#sk1' @ '#sk10'))),
% 1.50/0.95 inference('renaming', [status(thm)],
% 1.50/0.95 [zip_derived_cl234, zip_derived_cl262])).
% 1.50/0.95 thf(zip_derived_cl391, plain, (( ('#sk1' @ '#sk10') | ~ ('#sk5' @ '#sk6'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl379, zip_derived_cl369])).
% 1.50/0.95 thf(zip_derived_cl1042, plain, ( ('#sk1' @ '#sk10')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl1041, zip_derived_cl391])).
% 1.50/0.95 thf(zip_derived_cl587, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ( ('#sk3' @ X2)
% 1.50/0.95 | ('#sk2' @ X2)
% 1.50/0.95 | (('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ~ ('#sk1' @ X2))),
% 1.50/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl586])).
% 1.50/0.95 thf(zip_derived_cl1047, plain,
% 1.50/0.95 (((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))
% 1.50/0.95 | ('#sk2' @ '#sk10')
% 1.50/0.95 | ('#sk3' @ '#sk10'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl1042, zip_derived_cl587])).
% 1.50/0.95 thf(zip_derived_cl269, plain, ((~ ('#sk2' @ '#sk10') | ('#form68'))),
% 1.50/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl263])).
% 1.50/0.95 thf(zip_derived_cl954, plain, (( ('#sk2' @ '#sk6') | ('#sk3' @ '#sk6'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl869, zip_derived_cl798])).
% 1.50/0.95 thf(zip_derived_cl455, plain, (( ('#sk1' @ '#sk10') | ~ ('#form68'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl454])).
% 1.50/0.95 thf(zip_derived_cl522, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ((('#sk1' @ '#sk10') != ('#form68'))
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | ~ ('#sk3' @ X2))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)],
% 1.50/0.95 [zip_derived_cl521])).
% 1.50/0.95 thf(zip_derived_cl523, plain,
% 1.50/0.95 (![X0 : a]:
% 1.50/0.95 (~ ('#form68') | ~ ('#form68') | ~ ('#sk3' @ X0) | ('#sk5' @ X0))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl455, zip_derived_cl522])).
% 1.50/0.95 thf(zip_derived_cl530, plain,
% 1.50/0.95 (![X0 : a]: ( ('#sk5' @ X0) | ~ ('#sk3' @ X0) | ~ ('#form68'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl523])).
% 1.50/0.95 thf(zip_derived_cl957, plain,
% 1.50/0.95 (( ('#sk2' @ '#sk6') | ~ ('#form68') | ('#sk5' @ '#sk6'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl954, zip_derived_cl530])).
% 1.50/0.95 thf(zip_derived_cl455, plain, (( ('#sk1' @ '#sk10') | ~ ('#form68'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl454])).
% 1.50/0.95 thf(zip_derived_cl603, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 ((('#sk1' @ '#sk10') != ('#form68'))
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | ~ ('#sk2' @ X2))),
% 1.50/0.95 inference('simplify nested equalities', [status(thm)],
% 1.50/0.95 [zip_derived_cl602])).
% 1.50/0.95 thf(zip_derived_cl604, plain,
% 1.50/0.95 (![X0 : a]:
% 1.50/0.95 (~ ('#form68') | ~ ('#form68') | ~ ('#sk2' @ X0) | ('#sk5' @ X0))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl455, zip_derived_cl603])).
% 1.50/0.95 thf(zip_derived_cl611, plain,
% 1.50/0.95 (![X0 : a]: ( ('#sk5' @ X0) | ~ ('#sk2' @ X0) | ~ ('#form68'))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl604])).
% 1.50/0.95 thf(zip_derived_cl1003, plain, (( ('#sk5' @ '#sk6') | ~ ('#form68'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl957, zip_derived_cl611])).
% 1.50/0.95 thf(zip_derived_cl227, plain,
% 1.50/0.95 ((~ ('#sk5' @ '#sk6')
% 1.50/0.95 | (('#sk1' @ '#sk10') != ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10')))))),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl225])).
% 1.50/0.95 thf(zip_derived_cl235, plain,
% 1.50/0.95 ((~ ('#sk1' @ '#sk10')
% 1.50/0.95 | ~ ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10')))
% 1.50/0.95 | ~ ('#sk5' @ '#sk6'))),
% 1.50/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl227])).
% 1.50/0.95 thf(zip_derived_cl391, plain, (( ('#sk1' @ '#sk10') | ~ ('#sk5' @ '#sk6'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl379, zip_derived_cl369])).
% 1.50/0.95 thf(zip_derived_cl512, plain,
% 1.50/0.95 ((~ ('#sk5' @ '#sk6') | ~ ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10'))))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl235, zip_derived_cl391])).
% 1.50/0.95 thf(zip_derived_cl262, plain,
% 1.50/0.95 ((('#form68') = ((('#sk3' @ '#sk10') | ('#sk2' @ '#sk10'))))),
% 1.50/0.95 define([status(thm)])).
% 1.50/0.95 thf(zip_derived_cl513, plain, ((~ ('#form68') | ~ ('#sk5' @ '#sk6'))),
% 1.50/0.95 inference('renaming', [status(thm)],
% 1.50/0.95 [zip_derived_cl512, zip_derived_cl262])).
% 1.50/0.95 thf(zip_derived_cl1004, plain, (~ ('#form68')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl1003, zip_derived_cl513])).
% 1.50/0.95 thf(zip_derived_cl1006, plain, (~ ('#sk2' @ '#sk10')),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl269, zip_derived_cl1004])).
% 1.50/0.95 thf(zip_derived_cl268, plain, ((~ ('#sk3' @ '#sk10') | ('#form68'))),
% 1.50/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl263])).
% 1.50/0.95 thf(zip_derived_cl1004, plain, (~ ('#form68')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl1003, zip_derived_cl513])).
% 1.50/0.95 thf(zip_derived_cl1005, plain, (~ ('#sk3' @ '#sk10')),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl268, zip_derived_cl1004])).
% 1.50/0.95 thf(zip_derived_cl1055, plain,
% 1.50/0.95 ((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))),
% 1.50/0.95 inference('demod', [status(thm)],
% 1.50/0.95 [zip_derived_cl1047, zip_derived_cl1006, zip_derived_cl1005])).
% 1.50/0.95 thf(zip_derived_cl1063, plain,
% 1.50/0.95 ((~ ('#sk5' @ '#sk6') | (('#sk1') != ('#sk1')))),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl226, zip_derived_cl1055])).
% 1.50/0.95 thf(zip_derived_cl1064, plain, (~ ('#sk5' @ '#sk6')),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl1063])).
% 1.50/0.95 thf(zip_derived_cl954, plain, (( ('#sk2' @ '#sk6') | ('#sk3' @ '#sk6'))),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl869, zip_derived_cl798])).
% 1.50/0.95 thf(zip_derived_cl253, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#sk3' @ X2)
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('demod', [status(thm)],
% 1.50/0.95 [zip_derived_cl43, zip_derived_cl87, zip_derived_cl225])).
% 1.50/0.95 thf(zip_derived_cl1055, plain,
% 1.50/0.95 ((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))),
% 1.50/0.95 inference('demod', [status(thm)],
% 1.50/0.95 [zip_derived_cl1047, zip_derived_cl1006, zip_derived_cl1005])).
% 1.50/0.95 thf(zip_derived_cl1065, plain,
% 1.50/0.95 (![X2 : a]: (~ ('#sk3' @ X2) | ('#sk5' @ X2) | (('#sk1') != ('#sk1')))),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl253, zip_derived_cl1055])).
% 1.50/0.95 thf(zip_derived_cl1066, plain,
% 1.50/0.95 (![X2 : a]: ( ('#sk5' @ X2) | ~ ('#sk3' @ X2))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl1065])).
% 1.50/0.95 thf(zip_derived_cl1082, plain, (( ('#sk2' @ '#sk6') | ('#sk5' @ '#sk6'))),
% 1.50/0.95 inference('sup-', [status(thm)], [zip_derived_cl954, zip_derived_cl1066])).
% 1.50/0.95 thf(zip_derived_cl284, plain,
% 1.50/0.95 (![X2 : a]:
% 1.50/0.95 (~ ('#sk2' @ X2)
% 1.50/0.95 | ('#sk5' @ X2)
% 1.50/0.95 | (('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0)))))))),
% 1.50/0.95 inference('demod', [status(thm)],
% 1.50/0.95 [zip_derived_cl46, zip_derived_cl87, zip_derived_cl225])).
% 1.50/0.95 thf(zip_derived_cl1055, plain,
% 1.50/0.95 ((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) | ('#sk2' @ Y0))))))),
% 1.50/0.95 inference('demod', [status(thm)],
% 1.50/0.95 [zip_derived_cl1047, zip_derived_cl1006, zip_derived_cl1005])).
% 1.50/0.95 thf(zip_derived_cl1067, plain,
% 1.50/0.95 (![X2 : a]: (~ ('#sk2' @ X2) | ('#sk5' @ X2) | (('#sk1') != ('#sk1')))),
% 1.50/0.95 inference('demod', [status(thm)], [zip_derived_cl284, zip_derived_cl1055])).
% 1.50/0.95 thf(zip_derived_cl1068, plain,
% 1.50/0.95 (![X2 : a]: ( ('#sk5' @ X2) | ~ ('#sk2' @ X2))),
% 1.50/0.95 inference('simplify', [status(thm)], [zip_derived_cl1067])).
% 1.50/0.95 thf(zip_derived_cl1091, plain, ( ('#sk5' @ '#sk6')),
% 1.50/0.95 inference('clc', [status(thm)], [zip_derived_cl1082, zip_derived_cl1068])).
% 1.50/0.95 thf(zip_derived_cl1092, plain, ($false),
% 1.50/0.95 inference('demod', [status(thm)],
% 1.50/0.95 [zip_derived_cl1064, zip_derived_cl1091])).
% 1.50/0.95
% 1.50/0.95 % SZS output end Refutation
% 1.50/0.95
% 1.50/0.95
% 1.50/0.95 % Terminating...
% 1.89/1.07 % Runner terminated.
% 1.89/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------