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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU855^5 : 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.jeE80shBnN true

% Computer : n019.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 04:56:44 PM UTC 2025

% Result   : Theorem 0.44s 0.84s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : SEU855^5 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jeE80shBnN true
% 0.08/0.32  % Computer : n019.cluster.edu
% 0.08/0.32  % Model    : x86_64 x86_64
% 0.08/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.32  % Memory   : 8042.1875MB
% 0.08/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.32  % CPULimit : 300
% 0.08/0.32  % WCLimit  : 300
% 0.08/0.32  % DateTime : Wed Oct  1 16:02:08 EDT 2025
% 0.08/0.32  % CPUTime  : 
% 0.08/0.32  % Running portfolio for 300 s
% 0.08/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.32  % Number of cores: 8
% 0.08/0.32  % Python version: Python 3.6.8
% 0.08/0.33  % Running in HO mode
% 0.40/0.58  % Total configuration time : 828
% 0.40/0.58  % Estimated wc time : 1656
% 0.40/0.58  % Estimated cpu time (8 cpus) : 207.0
% 0.42/0.68  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.42/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.42/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.42/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.43/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.43/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.43/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.43/0.81  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.44/0.84  % Solved by lams/35_full_unif4.sh.
% 0.44/0.84  % done 39 iterations in 0.052s
% 0.44/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.44/0.84  % SZS output start Refutation
% 0.44/0.84  thf(a_type, type, a: $tType).
% 0.44/0.84  thf('#sk4_type', type, '#sk4': a).
% 0.44/0.84  thf('#sk2_type', type, '#sk2': a > $o).
% 0.44/0.84  thf('#sk1_type', type, '#sk1': a > $o).
% 0.44/0.84  thf('#sk3_type', type, '#sk3': a > $o).
% 0.44/0.84  thf('#sk5_type', type, '#sk5': a).
% 0.44/0.84  thf(cGAZING_THM33_pme, conjecture,
% 0.44/0.84    (![S:( a > $o ),T:( a > $o ),U:( a > $o )]:
% 0.44/0.84     ( ( ( ![Xx:a]: ( ( T @ Xx ) => ( U @ Xx ) ) ) & 
% 0.44/0.84         ( ![Xx:a]: ( ( S @ Xx ) => ( U @ Xx ) ) ) ) =>
% 0.44/0.84       ( ( ![Xx:a]: ( ( S @ Xx ) => ( T @ Xx ) ) ) <=>
% 0.44/0.84         ( ( ^[Xx:a]: ( ( ~( T @ Xx ) ) & ( U @ Xx ) & ( S @ Xx ) ) ) =
% 0.44/0.84           ( ^[Xx:a]: ( $false ) ) ) ) ))).
% 0.44/0.84  thf(zf_stmt_0, negated_conjecture,
% 0.44/0.84    (~( ![S:( a > $o ),T:( a > $o ),U:( a > $o )]:
% 0.44/0.84        ( ( ( ![Xx:a]: ( ( T @ Xx ) => ( U @ Xx ) ) ) & 
% 0.44/0.84            ( ![Xx:a]: ( ( S @ Xx ) => ( U @ Xx ) ) ) ) =>
% 0.44/0.84          ( ( ![Xx:a]: ( ( S @ Xx ) => ( T @ Xx ) ) ) <=>
% 0.44/0.84            ( ( ^[Xx:a]: ( ( ~( T @ Xx ) ) & ( U @ Xx ) & ( S @ Xx ) ) ) =
% 0.44/0.84              ( ^[Xx:a]: ( $false ) ) ) ) ) )),
% 0.44/0.84    inference('cnf.neg', [status(esa)], [cGAZING_THM33_pme])).
% 0.44/0.84  thf(zip_derived_cl0, plain,
% 0.44/0.84      (~ (((!!) @ (^[Y0 : a > $o]:
% 0.44/0.84                     (((!!) @ (^[Y1 : a > $o]:
% 0.44/0.84                                 (((!!) @ (^[Y2 : a > $o]:
% 0.44/0.84                                             (((((((!!) @ (^[Y3 : a]:
% 0.44/0.84                                                             (((Y1 @ Y3) =>
% 0.44/0.84                                                               (Y2 @ Y3)))))) &
% 0.44/0.84                                                 (((!!) @ (^[Y3 : a]:
% 0.44/0.84                                                             (((Y0 @ Y3) =>
% 0.44/0.84                                                               (Y2 @ Y3)))))))) =>
% 0.44/0.84                                               (((((!!) @ (^[Y3 : a]:
% 0.44/0.84                                                             (((Y0 @ Y3) =>
% 0.44/0.84                                                               (Y1 @ Y3)))))) <=>
% 0.44/0.84                                                 ((((^[Y3 : a]:
% 0.44/0.84                                                       (((((~) @ (Y1 @ Y3))) & 
% 0.44/0.84                                                         (Y2 @ Y3) & (Y0 @ Y3))))) =
% 0.44/0.84                                                   ((^[Y3 : a]: ($false))))))))))))))))))),
% 0.44/0.84      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.84  thf(zip_derived_cl1, plain,
% 0.44/0.84      (~ (((!!) @ (^[Y0 : a > $o]:
% 0.44/0.84                     (((!!) @ (^[Y1 : a > $o]:
% 0.44/0.84                                 (((((((!!) @ (^[Y2 : a]:
% 0.44/0.84                                                 (((Y0 @ Y2) => (Y1 @ Y2)))))) &
% 0.44/0.84                                     (((!!) @ (^[Y2 : a]:
% 0.44/0.84                                                 ((('#sk1' @ Y2) => (Y1 @ Y2)))))))) =>
% 0.44/0.84                                   (((((!!) @ (^[Y2 : a]:
% 0.44/0.84                                                 ((('#sk1' @ Y2) => (Y0 @ Y2)))))) <=>
% 0.44/0.84                                     ((((^[Y2 : a]:
% 0.44/0.84                                           (((((~) @ (Y0 @ Y2))) & (Y1 @ Y2) & 
% 0.44/0.84                                             ('#sk1' @ Y2))))) =
% 0.44/0.84                                       ((^[Y2 : a]: ($false)))))))))))))))),
% 0.44/0.84      inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 0.44/0.84  thf(zip_derived_cl2, plain,
% 0.44/0.84      (~ (((!!) @ (^[Y0 : a > $o]:
% 0.44/0.84                     (((((((!!) @ (^[Y1 : a]: ((('#sk2' @ Y1) => (Y0 @ Y1)))))) &
% 0.44/0.84                         (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1)))))))) =>
% 0.44/0.84                       (((((!!) @ (^[Y1 : a]:
% 0.44/0.84                                     ((('#sk1' @ Y1) => ('#sk2' @ Y1)))))) <=>
% 0.44/0.84                         ((((^[Y1 : a]:
% 0.44/0.84                               (((((~) @ ('#sk2' @ Y1))) & (Y0 @ Y1) & 
% 0.44/0.84                                 ('#sk1' @ Y1))))) =
% 0.44/0.84                           ((^[Y1 : a]: ($false))))))))))))),
% 0.44/0.84      inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])).
% 0.44/0.84  thf(zip_derived_cl3, plain,
% 0.44/0.84      (~ (((((((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk3' @ Y0)))))) &
% 0.44/0.84             (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))) =>
% 0.44/0.84           (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) <=>
% 0.44/0.84             ((((^[Y0 : a]:
% 0.44/0.84                   (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))))) =
% 0.44/0.84               ((^[Y0 : a]: ($false)))))))))),
% 0.44/0.84      inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
% 0.44/0.84  thf(zip_derived_cl5, plain,
% 0.44/0.84      (~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) <=>
% 0.44/0.84           ((((^[Y0 : a]:
% 0.44/0.84                 (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))))) =
% 0.44/0.84             ((^[Y0 : a]: ($false)))))))),
% 0.44/0.84      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
% 0.44/0.84  thf(zip_derived_cl8, plain,
% 0.44/0.84      (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0))))))
% 0.44/0.84         != ((((^[Y0 : a]:
% 0.44/0.84                  (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))))) =
% 0.44/0.84              ((^[Y0 : a]: ($false))))))),
% 0.44/0.84      inference('simplify nested equalities', [status(thm)], [zip_derived_cl5])).
% 0.44/0.84  thf(zip_derived_cl10, plain,
% 0.44/0.84      ((((^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))) @ '#sk4')
% 0.44/0.84         != ((((^[Y0 : a]:
% 0.44/0.84                  (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))))) =
% 0.44/0.84              ((^[Y0 : a]: ($false))))))),
% 0.44/0.84      inference('quantifier_rw', [status(thm)], [zip_derived_cl8])).
% 0.44/0.84  thf(zip_derived_cl13, plain,
% 0.44/0.84      ((((('#sk1' @ '#sk4') => ('#sk2' @ '#sk4')))
% 0.44/0.84         != ((((^[Y0 : a]:
% 0.44/0.84                  (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))))) =
% 0.44/0.84              ((^[Y0 : a]: ($false))))))),
% 0.44/0.84      inference('ho_norm', [status(thm)], [zip_derived_cl10])).
% 0.44/0.84  thf(zip_derived_cl21, plain,
% 0.44/0.84      ((~ ((('#sk1' @ '#sk4') => ('#sk2' @ '#sk4')))
% 0.44/0.84        | ~ ((((^[Y0 : a]:
% 0.44/0.84                  (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))))) =
% 0.44/0.84              ((^[Y0 : a]: ($false))))))),
% 0.44/0.84      inference('eq_elim', [status(thm)], [zip_derived_cl13])).
% 0.44/0.84  thf(zip_derived_cl24, plain,
% 0.44/0.84      ((~ ((('#sk1' @ '#sk4') => ('#sk2' @ '#sk4')))
% 0.44/0.84        | (((^[Y0 : a]:
% 0.44/0.84               (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))))
% 0.44/0.84            != ((^[Y0 : a]: ($false)))))),
% 0.44/0.84      inference('simplify nested equalities', [status(thm)], [zip_derived_cl21])).
% 0.44/0.84  thf(zip_derived_cl34, plain,
% 0.44/0.84      ((~ ('#sk2' @ '#sk4')
% 0.44/0.84        | (((^[Y0 : a]:
% 0.44/0.84               (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))))
% 0.44/0.84            != ((^[Y0 : a]: ($false)))))),
% 0.44/0.84      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])).
% 0.44/0.84  thf(zip_derived_cl36, plain,
% 0.44/0.84      ((~ ('#sk2' @ '#sk4')
% 0.44/0.84        |  (((((~) @ ('#sk2' @ '#sk5'))) & ('#sk3' @ '#sk5') & 
% 0.44/0.84             ('#sk1' @ '#sk5'))))),
% 0.44/0.84      inference('neg_ext', [status(thm)], [zip_derived_cl34])).
% 0.44/0.84  thf(zip_derived_cl78, plain, ((~ ('#sk2' @ '#sk5') | ~ ('#sk2' @ '#sk4'))),
% 0.44/0.84      inference('lazy_cnf_and', [status(thm)], [zip_derived_cl36])).
% 0.44/0.84  thf(zip_derived_cl13, plain,
% 0.44/0.84      ((((('#sk1' @ '#sk4') => ('#sk2' @ '#sk4')))
% 0.44/0.84         != ((((^[Y0 : a]:
% 0.44/0.84                  (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))))) =
% 0.44/0.84              ((^[Y0 : a]: ($false))))))),
% 0.44/0.84      inference('ho_norm', [status(thm)], [zip_derived_cl10])).
% 0.44/0.84  thf(zip_derived_cl22, plain,
% 0.44/0.84      (((((^[Y0 : a]:
% 0.44/0.84             (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))))
% 0.44/0.84          = ((^[Y0 : a]: ($false))))
% 0.44/0.84        |  ((('#sk1' @ '#sk4') => ('#sk2' @ '#sk4'))))),
% 0.44/0.84      inference('eq_hoist', [status(thm)], [zip_derived_cl13])).
% 0.44/0.84  thf(zip_derived_cl25, plain,
% 0.44/0.84      ((~ ('#sk1' @ '#sk4')
% 0.44/0.84        |  ('#sk2' @ '#sk4')
% 0.44/0.84        | (((^[Y0 : a]:
% 0.44/0.84               (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))))
% 0.44/0.84            = ((^[Y0 : a]: ($false)))))),
% 0.44/0.84      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])).
% 0.44/0.84  thf(zip_derived_cl27, plain,
% 0.44/0.84      (![X1 : a]:
% 0.44/0.84         ((((^[Y0 : a]:
% 0.44/0.84               (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))) @ 
% 0.44/0.84            X1) = ((^[Y0 : a]: ($false)) @ X1))
% 0.44/0.84          |  ('#sk2' @ '#sk4')
% 0.44/0.84          | ~ ('#sk1' @ '#sk4'))),
% 0.44/0.84      inference('ho_complete_eq', [status(thm)], [zip_derived_cl25])).
% 0.44/0.84  thf(zip_derived_cl28, plain,
% 0.44/0.84      (![X1 : a]:
% 0.44/0.84         (~ (((((~) @ ('#sk2' @ X1))) & ('#sk3' @ X1) & ('#sk1' @ X1)))
% 0.44/0.84          |  ('#sk2' @ '#sk4')
% 0.44/0.84          | ~ ('#sk1' @ '#sk4'))),
% 0.44/0.84      inference('ho_norm', [status(thm)], [zip_derived_cl27])).
% 0.44/0.84  thf(zip_derived_cl52, plain,
% 0.44/0.84      (![X1 : a]:
% 0.44/0.84         ( ('#sk2' @ X1)
% 0.44/0.84          | ~ ('#sk3' @ X1)
% 0.44/0.84          | ~ ('#sk1' @ X1)
% 0.44/0.84          | ~ ('#sk1' @ '#sk4')
% 0.44/0.84          |  ('#sk2' @ '#sk4'))),
% 0.44/0.84      inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])).
% 0.44/0.84  thf(zip_derived_cl4, plain,
% 0.44/0.84      ( (((((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk3' @ Y0)))))) &
% 0.44/0.84          (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0))))))))),
% 0.44/0.84      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
% 0.44/0.84  thf(zip_derived_cl7, plain,
% 0.44/0.84      ( (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0))))))),
% 0.44/0.84      inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])).
% 0.44/0.84  thf(zip_derived_cl12, plain,
% 0.44/0.84      (![X2 : a]:  ((('#sk1' @ X2) => ('#sk3' @ X2)))),
% 0.44/0.84      inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])).
% 0.44/0.84  thf(zip_derived_cl19, plain, (![X2 : a]: (~ ('#sk1' @ X2) |  ('#sk3' @ X2))),
% 0.44/0.84      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
% 0.44/0.84  thf(zip_derived_cl53, plain,
% 0.44/0.84      (![X1 : a]:
% 0.44/0.84         ( ('#sk2' @ '#sk4')
% 0.44/0.84          | ~ ('#sk1' @ '#sk4')
% 0.44/0.84          | ~ ('#sk1' @ X1)
% 0.44/0.84          |  ('#sk2' @ X1))),
% 0.44/0.84      inference('clc', [status(thm)], [zip_derived_cl52, zip_derived_cl19])).
% 0.44/0.84  thf(zip_derived_cl56, plain,
% 0.44/0.84      (( ('#sk2' @ '#sk4') | ~ ('#sk1' @ '#sk4') |  ('#sk2' @ '#sk4'))),
% 0.44/0.84      inference('eq_fact', [status(thm)], [zip_derived_cl53])).
% 0.44/0.84  thf(zip_derived_cl57, plain, ((~ ('#sk1' @ '#sk4') |  ('#sk2' @ '#sk4'))),
% 0.44/0.84      inference('simplify', [status(thm)], [zip_derived_cl56])).
% 0.44/0.84  thf(zip_derived_cl80, plain, (( ('#sk1' @ '#sk5') | ~ ('#sk2' @ '#sk4'))),
% 0.44/0.84      inference('lazy_cnf_and', [status(thm)], [zip_derived_cl36])).
% 0.44/0.84  thf(zip_derived_cl33, plain,
% 0.44/0.84      (( ('#sk1' @ '#sk4')
% 0.44/0.84        | (((^[Y0 : a]:
% 0.44/0.84               (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))))
% 0.44/0.84            != ((^[Y0 : a]: ($false)))))),
% 0.44/0.84      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])).
% 0.44/0.84  thf(zip_derived_cl35, plain,
% 0.44/0.84      (( ('#sk1' @ '#sk4')
% 0.44/0.84        |  (((((~) @ ('#sk2' @ '#sk5'))) & ('#sk3' @ '#sk5') & 
% 0.44/0.84             ('#sk1' @ '#sk5'))))),
% 0.44/0.84      inference('neg_ext', [status(thm)], [zip_derived_cl33])).
% 0.44/0.84  thf(zip_derived_cl39, plain, (( ('#sk1' @ '#sk5') |  ('#sk1' @ '#sk4'))),
% 0.44/0.84      inference('lazy_cnf_and', [status(thm)], [zip_derived_cl35])).
% 0.44/0.84  thf(zip_derived_cl57, plain, ((~ ('#sk1' @ '#sk4') |  ('#sk2' @ '#sk4'))),
% 0.44/0.84      inference('simplify', [status(thm)], [zip_derived_cl56])).
% 0.44/0.84  thf(zip_derived_cl62, plain, (( ('#sk1' @ '#sk5') |  ('#sk2' @ '#sk4'))),
% 0.44/0.84      inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl57])).
% 0.44/0.84  thf(zip_derived_cl82, plain, ( ('#sk1' @ '#sk5')),
% 0.44/0.84      inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl62])).
% 0.44/0.84  thf(zip_derived_cl8, plain,
% 0.44/0.84      (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0))))))
% 0.44/0.84         != ((((^[Y0 : a]:
% 0.44/0.84                  (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))))) =
% 0.44/0.84              ((^[Y0 : a]: ($false))))))),
% 0.44/0.84      inference('simplify nested equalities', [status(thm)], [zip_derived_cl5])).
% 0.44/0.84  thf(zip_derived_cl9, plain,
% 0.44/0.84      (![X-81 : a]:
% 0.44/0.84         ( ((^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))) @ X-81)
% 0.44/0.84          |  ((((^[Y0 : a]:
% 0.44/0.84                   (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))))) =
% 0.44/0.84               ((^[Y0 : a]: ($false))))))),
% 0.44/0.84      inference('forall_hoist', [status(thm)], [zip_derived_cl8])).
% 0.44/0.84  thf(zip_derived_cl14, plain,
% 0.44/0.84      (![X-81 : a]:
% 0.44/0.84         ( ((('#sk1' @ X-81) => ('#sk2' @ X-81)))
% 0.44/0.84          |  ((((^[Y0 : a]:
% 0.44/0.84                   (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))))) =
% 0.44/0.84               ((^[Y0 : a]: ($false))))))),
% 0.44/0.84      inference('ho_norm', [status(thm)], [zip_derived_cl9])).
% 0.44/0.84  thf(zip_derived_cl15, plain,
% 0.44/0.84      (![X0 : a]:
% 0.44/0.84         ( ((('#sk1' @ X0) => ('#sk2' @ X0)))
% 0.44/0.84          |  ((((^[Y0 : a]:
% 0.44/0.84                   (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))))) =
% 0.44/0.84               ((^[Y0 : a]: ($false))))))),
% 0.44/0.84      inference('cannonize vars', [status(thm)], [zip_derived_cl14])).
% 0.44/0.84  thf(zip_derived_cl16, plain,
% 0.44/0.84      (![X0 : a]:
% 0.44/0.84         ( ((('#sk1' @ X0) => ('#sk2' @ X0)))
% 0.44/0.84          | (((^[Y0 : a]:
% 0.44/0.84                 (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))))
% 0.44/0.84              = ((^[Y0 : a]: ($false)))))),
% 0.44/0.84      inference('simplify nested equalities', [status(thm)], [zip_derived_cl15])).
% 0.44/0.84  thf(zip_derived_cl17, plain,
% 0.44/0.84      (![X0 : a]:
% 0.44/0.84         (~ ('#sk1' @ X0)
% 0.44/0.84          |  ('#sk2' @ X0)
% 0.44/0.84          | (((^[Y0 : a]:
% 0.44/0.84                 (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))))
% 0.44/0.84              = ((^[Y0 : a]: ($false)))))),
% 0.44/0.84      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])).
% 0.44/0.84  thf(zip_derived_cl83, plain,
% 0.44/0.84      (((((^[Y0 : a]:
% 0.44/0.84             (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))))
% 0.44/0.84          = ((^[Y0 : a]: ($false))))
% 0.44/0.84        |  ('#sk2' @ '#sk5'))),
% 0.44/0.84      inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl17])).
% 0.44/0.84  thf(zip_derived_cl33, plain,
% 0.44/0.84      (( ('#sk1' @ '#sk4')
% 0.44/0.84        | (((^[Y0 : a]:
% 0.44/0.84               (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))))
% 0.44/0.84            != ((^[Y0 : a]: ($false)))))),
% 0.44/0.84      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])).
% 0.44/0.84  thf(zip_derived_cl88, plain,
% 0.44/0.84      (((((^[Y0 : a]: ($false))) != ((^[Y0 : a]: ($false))))
% 0.44/0.84        |  ('#sk2' @ '#sk5')
% 0.44/0.84        |  ('#sk1' @ '#sk4'))),
% 0.44/0.84      inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl33])).
% 0.44/0.84  thf(zip_derived_cl93, plain, (( ('#sk1' @ '#sk4') |  ('#sk2' @ '#sk5'))),
% 0.44/0.84      inference('simplify', [status(thm)], [zip_derived_cl88])).
% 0.44/0.84  thf(zip_derived_cl37, plain, ((~ ('#sk2' @ '#sk5') |  ('#sk1' @ '#sk4'))),
% 0.44/0.84      inference('lazy_cnf_and', [status(thm)], [zip_derived_cl35])).
% 0.44/0.84  thf(zip_derived_cl95, plain, ( ('#sk1' @ '#sk4')),
% 0.44/0.84      inference('clc', [status(thm)], [zip_derived_cl93, zip_derived_cl37])).
% 0.44/0.84  thf(zip_derived_cl98, plain, ( ('#sk2' @ '#sk4')),
% 0.44/0.84      inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl95])).
% 0.44/0.84  thf(zip_derived_cl104, plain, (~ ('#sk2' @ '#sk5')),
% 0.44/0.84      inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl98])).
% 0.44/0.84  thf(zip_derived_cl83, plain,
% 0.44/0.84      (((((^[Y0 : a]:
% 0.44/0.84             (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))))
% 0.44/0.84          = ((^[Y0 : a]: ($false))))
% 0.44/0.84        |  ('#sk2' @ '#sk5'))),
% 0.44/0.84      inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl17])).
% 0.44/0.84  thf(zip_derived_cl34, plain,
% 0.44/0.84      ((~ ('#sk2' @ '#sk4')
% 0.44/0.84        | (((^[Y0 : a]:
% 0.44/0.84               (((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0)))))
% 0.44/0.84            != ((^[Y0 : a]: ($false)))))),
% 0.44/0.84      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])).
% 0.44/0.84  thf(zip_derived_cl87, plain,
% 0.44/0.84      (((((^[Y0 : a]: ($false))) != ((^[Y0 : a]: ($false))))
% 0.44/0.84        |  ('#sk2' @ '#sk5')
% 0.44/0.84        | ~ ('#sk2' @ '#sk4'))),
% 0.44/0.84      inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl34])).
% 0.44/0.84  thf(zip_derived_cl92, plain, ((~ ('#sk2' @ '#sk4') |  ('#sk2' @ '#sk5'))),
% 0.44/0.84      inference('simplify', [status(thm)], [zip_derived_cl87])).
% 0.44/0.84  thf(zip_derived_cl98, plain, ( ('#sk2' @ '#sk4')),
% 0.44/0.84      inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl95])).
% 0.44/0.84  thf(zip_derived_cl111, plain, ( ('#sk2' @ '#sk5')),
% 0.44/0.84      inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl98])).
% 0.44/0.84  thf(zip_derived_cl112, plain, ($false),
% 0.44/0.84      inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl111])).
% 0.44/0.84  
% 0.44/0.84  % SZS output end Refutation
% 0.44/0.84  
% 0.44/0.84  
% 0.44/0.84  % Terminating...
% 1.58/1.01  % Runner terminated.
% 1.58/1.02  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------