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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU853^5 : 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.EtV2iIIJ7h true

% Computer : n011.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 1.72s 2.40s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.57  % Problem  : SEU853^5 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.64  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EtV2iIIJ7h true
% 0.10/1.07  % Computer : n011.cluster.edu
% 0.10/1.07  % Model    : x86_64 x86_64
% 0.10/1.07  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/1.07  % Memory   : 8042.1875MB
% 0.10/1.07  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/1.07  % CPULimit : 300
% 0.10/1.07  % WCLimit  : 300
% 0.10/1.07  % DateTime : Wed Oct  1 16:05:24 EDT 2025
% 0.16/1.09  % CPUTime  : 
% 0.16/1.09  % Running portfolio for 300 s
% 0.16/1.09  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/1.10  % Number of cores: 8
% 0.16/1.12  % Python version: Python 3.6.8
% 0.16/1.13  % Running in HO mode
% 0.51/1.82  % Total configuration time : 828
% 0.51/1.82  % Estimated wc time : 1656
% 0.51/1.82  % Estimated cpu time (8 cpus) : 207.0
% 0.51/2.09  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/2.13  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/2.16  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/2.31  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.63/2.34  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.63/2.38  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.63/2.38  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.63/2.39  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.72/2.40  % Solved by lams/35_full_unif4.sh.
% 1.72/2.40  % done 33 iterations in 0.101s
% 1.72/2.40  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.72/2.40  % SZS output start Refutation
% 1.72/2.40  thf(a_type, type, a: $tType).
% 1.72/2.40  thf('#sk5_type', type, '#sk5': a).
% 1.72/2.40  thf('#sk3_type', type, '#sk3': a > $o).
% 1.72/2.40  thf('#sk1_type', type, '#sk1': a > $o).
% 1.72/2.40  thf('#sk2_type', type, '#sk2': a > $o).
% 1.72/2.40  thf('#sk4_type', type, '#sk4': a).
% 1.72/2.40  thf(cGAZING_THM35_pme, conjecture,
% 1.72/2.40    (![S:( a > $o ),T:( a > $o ),U:( a > $o )]:
% 1.72/2.40     ( ( ( ![Xx:a]: ( ( T @ Xx ) => ( U @ Xx ) ) ) & 
% 1.72/2.40         ( ![Xx:a]: ( ( S @ Xx ) => ( U @ Xx ) ) ) ) =>
% 1.72/2.40       ( ( ![Xx:a]: ( ( S @ Xx ) => ( T @ Xx ) ) ) <=>
% 1.72/2.40         ( ![Xx:a]:
% 1.72/2.40           ( ( ( ~( T @ Xx ) ) & ( U @ Xx ) & ( S @ Xx ) ) =>
% 1.72/2.40             ( ( ~( S @ Xx ) ) & ( U @ Xx ) ) ) ) ) ))).
% 1.72/2.40  thf(zf_stmt_0, negated_conjecture,
% 1.72/2.40    (~( ![S:( a > $o ),T:( a > $o ),U:( a > $o )]:
% 1.72/2.40        ( ( ( ![Xx:a]: ( ( T @ Xx ) => ( U @ Xx ) ) ) & 
% 1.72/2.40            ( ![Xx:a]: ( ( S @ Xx ) => ( U @ Xx ) ) ) ) =>
% 1.72/2.40          ( ( ![Xx:a]: ( ( S @ Xx ) => ( T @ Xx ) ) ) <=>
% 1.72/2.40            ( ![Xx:a]:
% 1.72/2.40              ( ( ( ~( T @ Xx ) ) & ( U @ Xx ) & ( S @ Xx ) ) =>
% 1.72/2.40                ( ( ~( S @ Xx ) ) & ( U @ Xx ) ) ) ) ) ) )),
% 1.72/2.40    inference('cnf.neg', [status(esa)], [cGAZING_THM35_pme])).
% 1.72/2.40  thf(zip_derived_cl0, plain,
% 1.72/2.40      (~ (((!!) @ (^[Y0 : a > $o]:
% 1.72/2.40                     (((!!) @ (^[Y1 : a > $o]:
% 1.72/2.40                                 (((!!) @ (^[Y2 : a > $o]:
% 1.72/2.40                                             (((((((!!) @ (^[Y3 : a]:
% 1.72/2.40                                                             (((Y1 @ Y3) =>
% 1.72/2.40                                                               (Y2 @ Y3)))))) &
% 1.72/2.40                                                 (((!!) @ (^[Y3 : a]:
% 1.72/2.40                                                             (((Y0 @ Y3) =>
% 1.72/2.40                                                               (Y2 @ Y3)))))))) =>
% 1.72/2.40                                               (((((!!) @ (^[Y3 : a]:
% 1.72/2.40                                                             (((Y0 @ Y3) =>
% 1.72/2.40                                                               (Y1 @ Y3)))))) <=>
% 1.72/2.40                                                 (((!!) @ (^[Y3 : a]:
% 1.72/2.40                                                             (((((((~) @ (
% 1.72/2.40                                                                   Y1 @ Y3))) & 
% 1.72/2.40                                                                 (Y2 @ Y3) & 
% 1.72/2.40                                                                 (Y0 @ Y3))) =>
% 1.72/2.40                                                               (((((~) @ (
% 1.72/2.40                                                                   Y0 @ Y3))) &
% 1.72/2.40                                                                 (Y2 @ Y3)))))))))))))))))))))),
% 1.72/2.40      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.72/2.40  thf(zip_derived_cl1, plain,
% 1.72/2.40      (~ (((!!) @ (^[Y0 : a > $o]:
% 1.72/2.40                     (((!!) @ (^[Y1 : a > $o]:
% 1.72/2.40                                 (((((((!!) @ (^[Y2 : a]:
% 1.72/2.40                                                 (((Y0 @ Y2) => (Y1 @ Y2)))))) &
% 1.72/2.40                                     (((!!) @ (^[Y2 : a]:
% 1.72/2.40                                                 ((('#sk1' @ Y2) => (Y1 @ Y2)))))))) =>
% 1.72/2.40                                   (((((!!) @ (^[Y2 : a]:
% 1.72/2.40                                                 ((('#sk1' @ Y2) => (Y0 @ Y2)))))) <=>
% 1.72/2.40                                     (((!!) @ (^[Y2 : a]:
% 1.72/2.40                                                 (((((((~) @ (Y0 @ Y2))) & 
% 1.72/2.40                                                     (Y1 @ Y2) & ('#sk1' @ Y2))) =>
% 1.72/2.40                                                   (((((~) @ ('#sk1' @ Y2))) &
% 1.72/2.40                                                     (Y1 @ Y2))))))))))))))))))),
% 1.72/2.40      inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 1.72/2.40  thf(zip_derived_cl2, plain,
% 1.72/2.40      (~ (((!!) @ (^[Y0 : a > $o]:
% 1.72/2.40                     (((((((!!) @ (^[Y1 : a]: ((('#sk2' @ Y1) => (Y0 @ Y1)))))) &
% 1.72/2.40                         (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1)))))))) =>
% 1.72/2.40                       (((((!!) @ (^[Y1 : a]:
% 1.72/2.40                                     ((('#sk1' @ Y1) => ('#sk2' @ Y1)))))) <=>
% 1.72/2.40                         (((!!) @ (^[Y1 : a]:
% 1.72/2.40                                     (((((((~) @ ('#sk2' @ Y1))) & (Y0 @ Y1) & 
% 1.72/2.40                                         ('#sk1' @ Y1))) =>
% 1.72/2.40                                       (((((~) @ ('#sk1' @ Y1))) & (Y0 @ Y1)))))))))))))))),
% 1.72/2.40      inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])).
% 1.72/2.40  thf(zip_derived_cl3, plain,
% 1.72/2.40      (~ (((((((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk3' @ Y0)))))) &
% 1.72/2.40             (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))) =>
% 1.72/2.40           (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) <=>
% 1.72/2.40             (((!!) @ (^[Y0 : a]:
% 1.72/2.40                         (((((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & 
% 1.72/2.40                             ('#sk1' @ Y0))) =>
% 1.72/2.40                           (((((~) @ ('#sk1' @ Y0))) & ('#sk3' @ Y0))))))))))))),
% 1.72/2.40      inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
% 1.72/2.40  thf(zip_derived_cl5, plain,
% 1.72/2.40      (~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) <=>
% 1.72/2.40           (((!!) @ (^[Y0 : a]:
% 1.72/2.40                       (((((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & 
% 1.72/2.40                           ('#sk1' @ Y0))) =>
% 1.72/2.40                         (((((~) @ ('#sk1' @ Y0))) & ('#sk3' @ Y0))))))))))),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
% 1.72/2.40  thf(zip_derived_cl8, plain,
% 1.72/2.40      (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0))))))
% 1.72/2.40         != (((!!) @ (^[Y0 : a]:
% 1.72/2.40                        (((((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & 
% 1.72/2.40                            ('#sk1' @ Y0))) =>
% 1.72/2.40                          (((((~) @ ('#sk1' @ Y0))) & ('#sk3' @ Y0)))))))))),
% 1.72/2.40      inference('simplify nested equalities', [status(thm)], [zip_derived_cl5])).
% 1.72/2.40  thf(zip_derived_cl10, plain,
% 1.72/2.40      (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0))))))
% 1.72/2.40         != ((^[Y0 : a]:
% 1.72/2.40                (((((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))) =>
% 1.72/2.40                  (((((~) @ ('#sk1' @ Y0))) & ('#sk3' @ Y0)))))) @ 
% 1.72/2.40             '#sk4'))),
% 1.72/2.40      inference('quantifier_rw', [status(thm)], [zip_derived_cl8])).
% 1.72/2.40  thf(zip_derived_cl13, plain,
% 1.72/2.40      (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0))))))
% 1.72/2.40         != (((((((~) @ ('#sk2' @ '#sk4'))) & ('#sk3' @ '#sk4') & 
% 1.72/2.40                ('#sk1' @ '#sk4'))) =>
% 1.72/2.40              (((((~) @ ('#sk1' @ '#sk4'))) & ('#sk3' @ '#sk4'))))))),
% 1.72/2.40      inference('ho_norm', [status(thm)], [zip_derived_cl10])).
% 1.72/2.40  thf(zip_derived_cl15, plain,
% 1.72/2.40      ((((^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))) @ '#sk5')
% 1.72/2.40         != (((((((~) @ ('#sk2' @ '#sk4'))) & ('#sk3' @ '#sk4') & 
% 1.72/2.40                ('#sk1' @ '#sk4'))) =>
% 1.72/2.40              (((((~) @ ('#sk1' @ '#sk4'))) & ('#sk3' @ '#sk4'))))))),
% 1.72/2.40      inference('quantifier_rw', [status(thm)], [zip_derived_cl13])).
% 1.72/2.40  thf(zip_derived_cl21, plain,
% 1.72/2.40      ((((('#sk1' @ '#sk5') => ('#sk2' @ '#sk5')))
% 1.72/2.40         != (((((((~) @ ('#sk2' @ '#sk4'))) & ('#sk3' @ '#sk4') & 
% 1.72/2.40                ('#sk1' @ '#sk4'))) =>
% 1.72/2.40              (((((~) @ ('#sk1' @ '#sk4'))) & ('#sk3' @ '#sk4'))))))),
% 1.72/2.40      inference('ho_norm', [status(thm)], [zip_derived_cl15])).
% 1.72/2.40  thf(zip_derived_cl21, plain,
% 1.72/2.40      ((((('#sk1' @ '#sk5') => ('#sk2' @ '#sk5')))
% 1.72/2.40         != (((((((~) @ ('#sk2' @ '#sk4'))) & ('#sk3' @ '#sk4') & 
% 1.72/2.40                ('#sk1' @ '#sk4'))) =>
% 1.72/2.40              (((((~) @ ('#sk1' @ '#sk4'))) & ('#sk3' @ '#sk4'))))))),
% 1.72/2.40      inference('ho_norm', [status(thm)], [zip_derived_cl15])).
% 1.72/2.40  thf(zip_derived_cl47, plain,
% 1.72/2.40      (( ('#sk1' @ '#sk4')
% 1.72/2.40        | (((('#sk1' @ '#sk5') => ('#sk2' @ '#sk5')))
% 1.72/2.40            != (((((((~) @ ('#sk2' @ '#sk4'))) & ('#sk3' @ '#sk4') & ($false))) =>
% 1.72/2.40                 (((((~) @ ($false))) & ('#sk3' @ '#sk4')))))))),
% 1.72/2.40      inference('bool_hoist', [status(thm)], [zip_derived_cl21])).
% 1.72/2.40  thf(zip_derived_cl48, plain,
% 1.72/2.40      (( ('#sk1' @ '#sk4') | ~ ((('#sk1' @ '#sk5') => ('#sk2' @ '#sk5'))))),
% 1.72/2.40      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl47])).
% 1.72/2.40  thf(zip_derived_cl50, plain, (( ('#sk1' @ '#sk5') |  ('#sk1' @ '#sk4'))),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl48])).
% 1.72/2.40  thf(zip_derived_cl8, plain,
% 1.72/2.40      (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0))))))
% 1.72/2.40         != (((!!) @ (^[Y0 : a]:
% 1.72/2.40                        (((((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & 
% 1.72/2.40                            ('#sk1' @ Y0))) =>
% 1.72/2.40                          (((((~) @ ('#sk1' @ Y0))) & ('#sk3' @ Y0)))))))))),
% 1.72/2.40      inference('simplify nested equalities', [status(thm)], [zip_derived_cl5])).
% 1.72/2.40  thf(zip_derived_cl9, plain,
% 1.72/2.40      (![X-81 : a]:
% 1.72/2.40         ( ((^[Y0 : a]:
% 1.72/2.40               (((((((~) @ ('#sk2' @ Y0))) & ('#sk3' @ Y0) & ('#sk1' @ Y0))) =>
% 1.72/2.40                 (((((~) @ ('#sk1' @ Y0))) & ('#sk3' @ Y0)))))) @ 
% 1.72/2.40            X-81)
% 1.72/2.40          |  (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))))),
% 1.72/2.40      inference('forall_hoist', [status(thm)], [zip_derived_cl8])).
% 1.72/2.40  thf(zip_derived_cl16, plain,
% 1.72/2.40      (![X-81 : a]:
% 1.72/2.40         ( (((((((~) @ ('#sk2' @ X-81))) & ('#sk3' @ X-81) & ('#sk1' @ X-81))) =>
% 1.72/2.40             (((((~) @ ('#sk1' @ X-81))) & ('#sk3' @ X-81)))))
% 1.72/2.40          |  (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))))),
% 1.72/2.40      inference('ho_norm', [status(thm)], [zip_derived_cl9])).
% 1.72/2.40  thf(zip_derived_cl17, plain,
% 1.72/2.40      (![X0 : a]:
% 1.72/2.40         ( (((((((~) @ ('#sk2' @ X0))) & ('#sk3' @ X0) & ('#sk1' @ X0))) =>
% 1.72/2.40             (((((~) @ ('#sk1' @ X0))) & ('#sk3' @ X0)))))
% 1.72/2.40          |  (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))))),
% 1.72/2.40      inference('cannonize vars', [status(thm)], [zip_derived_cl16])).
% 1.72/2.40  thf(zip_derived_cl18, plain,
% 1.72/2.40      (![X0 : a]:
% 1.72/2.40         (~ (((((~) @ ('#sk2' @ X0))) & ('#sk3' @ X0) & ('#sk1' @ X0)))
% 1.72/2.40          |  (((((~) @ ('#sk1' @ X0))) & ('#sk3' @ X0)))
% 1.72/2.40          |  (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))))),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])).
% 1.72/2.40  thf(zip_derived_cl25, plain,
% 1.72/2.40      (![X0 : a]:
% 1.72/2.40         ( ('#sk2' @ X0)
% 1.72/2.40          | ~ ('#sk3' @ X0)
% 1.72/2.40          | ~ ('#sk1' @ X0)
% 1.72/2.40          |  (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0))))))
% 1.72/2.40          |  (((((~) @ ('#sk1' @ X0))) & ('#sk3' @ X0))))),
% 1.72/2.40      inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])).
% 1.72/2.40  thf(zip_derived_cl27, plain,
% 1.72/2.40      (![X0 : a]:
% 1.72/2.40         ( ('#sk2' @ X0)
% 1.72/2.40          | ~ ('#sk3' @ X0)
% 1.72/2.40          | ~ ('#sk1' @ X0)
% 1.72/2.40          |  (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0))))))
% 1.72/2.40          |  (((((~) @ ($true))) & ($true))))),
% 1.72/2.40      inference('local_rewriting', [status(thm)], [zip_derived_cl25])).
% 1.72/2.40  thf(zip_derived_cl28, plain,
% 1.72/2.40      (![X0 : a]:
% 1.72/2.40         ( ('#sk2' @ X0)
% 1.72/2.40          | ~ ('#sk3' @ X0)
% 1.72/2.40          | ~ ('#sk1' @ X0)
% 1.72/2.40          |  (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))))),
% 1.72/2.40      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl27])).
% 1.72/2.40  thf(zip_derived_cl29, plain,
% 1.72/2.40      (![X0 : a, X2 : a]:
% 1.72/2.40         ( ((('#sk1' @ X2) => ('#sk2' @ X2)))
% 1.72/2.40          | ~ ('#sk1' @ X0)
% 1.72/2.40          | ~ ('#sk3' @ X0)
% 1.72/2.40          |  ('#sk2' @ X0))),
% 1.72/2.40      inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])).
% 1.72/2.40  thf(zip_derived_cl31, plain,
% 1.72/2.40      (![X0 : a, X2 : a]:
% 1.72/2.40         (~ ('#sk1' @ X2)
% 1.72/2.40          |  ('#sk2' @ X2)
% 1.72/2.40          |  ('#sk2' @ X0)
% 1.72/2.40          | ~ ('#sk3' @ X0)
% 1.72/2.40          | ~ ('#sk1' @ X0))),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])).
% 1.72/2.40  thf(zip_derived_cl4, plain,
% 1.72/2.40      ( (((((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk3' @ Y0)))))) &
% 1.72/2.40          (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0))))))))),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
% 1.72/2.40  thf(zip_derived_cl7, plain,
% 1.72/2.40      ( (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0))))))),
% 1.72/2.40      inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])).
% 1.72/2.40  thf(zip_derived_cl12, plain,
% 1.72/2.40      (![X2 : a]:  ((('#sk1' @ X2) => ('#sk3' @ X2)))),
% 1.72/2.40      inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])).
% 1.72/2.40  thf(zip_derived_cl20, plain, (![X2 : a]: (~ ('#sk1' @ X2) |  ('#sk3' @ X2))),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
% 1.72/2.40  thf(zip_derived_cl39, plain,
% 1.72/2.40      (![X0 : a, X2 : a]:
% 1.72/2.40         (~ ('#sk1' @ X0) |  ('#sk2' @ X0) |  ('#sk2' @ X2) | ~ ('#sk1' @ X2))),
% 1.72/2.40      inference('clc', [status(thm)], [zip_derived_cl31, zip_derived_cl20])).
% 1.72/2.40  thf(zip_derived_cl40, plain,
% 1.72/2.40      (![X0 : a]: (~ ('#sk1' @ X0) |  ('#sk2' @ X0) |  ('#sk2' @ X0))),
% 1.72/2.40      inference('eq_fact', [status(thm)], [zip_derived_cl39])).
% 1.72/2.40  thf(zip_derived_cl41, plain, (![X0 : a]: ( ('#sk2' @ X0) | ~ ('#sk1' @ X0))),
% 1.72/2.40      inference('simplify', [status(thm)], [zip_derived_cl40])).
% 1.72/2.40  thf(zip_derived_cl85, plain, (( ('#sk1' @ '#sk4') |  ('#sk2' @ '#sk5'))),
% 1.72/2.40      inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl41])).
% 1.72/2.40  thf(zip_derived_cl51, plain, ((~ ('#sk2' @ '#sk5') |  ('#sk1' @ '#sk4'))),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl48])).
% 1.72/2.40  thf(zip_derived_cl120, plain, ( ('#sk1' @ '#sk4')),
% 1.72/2.40      inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl51])).
% 1.72/2.40  thf(zip_derived_cl120, plain, ( ('#sk1' @ '#sk4')),
% 1.72/2.40      inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl51])).
% 1.72/2.40  thf(zip_derived_cl121, plain,
% 1.72/2.40      ((((('#sk1' @ '#sk5') => ('#sk2' @ '#sk5')))
% 1.72/2.40         != (((((((~) @ ('#sk2' @ '#sk4'))) & ('#sk3' @ '#sk4') & ($true))) =>
% 1.72/2.40              (((((~) @ ($true))) & ('#sk3' @ '#sk4'))))))),
% 1.72/2.40      inference('demod', [status(thm)],
% 1.72/2.40                [zip_derived_cl21, zip_derived_cl120, zip_derived_cl120])).
% 1.72/2.40  thf(zip_derived_cl122, plain,
% 1.72/2.40      ((((('#sk1' @ '#sk5') => ('#sk2' @ '#sk5')))
% 1.72/2.40         != (((~) @ (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk3' @ '#sk4'))))))),
% 1.72/2.40      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl121])).
% 1.72/2.40  thf(zip_derived_cl123, plain,
% 1.72/2.40      ((((('#sk1' @ '#sk5') => ('#sk2' @ '#sk5')))
% 1.72/2.40         = (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk3' @ '#sk4'))))),
% 1.72/2.40      inference('simplify nested equalities', [status(thm)],
% 1.72/2.40                [zip_derived_cl122])).
% 1.72/2.40  thf(zip_derived_cl120, plain, ( ('#sk1' @ '#sk4')),
% 1.72/2.40      inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl51])).
% 1.72/2.40  thf(zip_derived_cl41, plain, (![X0 : a]: ( ('#sk2' @ X0) | ~ ('#sk1' @ X0))),
% 1.72/2.40      inference('simplify', [status(thm)], [zip_derived_cl40])).
% 1.72/2.40  thf(zip_derived_cl124, plain, ( ('#sk2' @ '#sk4')),
% 1.72/2.40      inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl41])).
% 1.72/2.40  thf(zip_derived_cl46, plain,
% 1.72/2.40      (( ('#sk3' @ '#sk4')
% 1.72/2.40        | (((('#sk1' @ '#sk5') => ('#sk2' @ '#sk5')))
% 1.72/2.40            != (((((((~) @ ('#sk2' @ '#sk4'))) & ($false) & ('#sk1' @ '#sk4'))) =>
% 1.72/2.40                 (((((~) @ ('#sk1' @ '#sk4'))) & ($false)))))))),
% 1.72/2.40      inference('bool_hoist', [status(thm)], [zip_derived_cl21])).
% 1.72/2.40  thf(zip_derived_cl49, plain,
% 1.72/2.40      (( ('#sk3' @ '#sk4') | ~ ((('#sk1' @ '#sk5') => ('#sk2' @ '#sk5'))))),
% 1.72/2.40      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl46])).
% 1.72/2.40  thf(zip_derived_cl131, plain, ((~ ('#sk2' @ '#sk5') |  ('#sk3' @ '#sk4'))),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl49])).
% 1.72/2.40  thf(zip_derived_cl50, plain, (( ('#sk1' @ '#sk5') |  ('#sk1' @ '#sk4'))),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl48])).
% 1.72/2.40  thf(zip_derived_cl20, plain, (![X2 : a]: (~ ('#sk1' @ X2) |  ('#sk3' @ X2))),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
% 1.72/2.40  thf(zip_derived_cl55, plain, (( ('#sk1' @ '#sk5') |  ('#sk3' @ '#sk4'))),
% 1.72/2.40      inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl20])).
% 1.72/2.40  thf(zip_derived_cl41, plain, (![X0 : a]: ( ('#sk2' @ X0) | ~ ('#sk1' @ X0))),
% 1.72/2.40      inference('simplify', [status(thm)], [zip_derived_cl40])).
% 1.72/2.40  thf(zip_derived_cl84, plain, (( ('#sk3' @ '#sk4') |  ('#sk2' @ '#sk5'))),
% 1.72/2.40      inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl41])).
% 1.72/2.40  thf(zip_derived_cl132, plain, ( ('#sk3' @ '#sk4')),
% 1.72/2.40      inference('clc', [status(thm)], [zip_derived_cl131, zip_derived_cl84])).
% 1.72/2.40  thf(zip_derived_cl133, plain,
% 1.72/2.40      ((((('#sk1' @ '#sk5') => ('#sk2' @ '#sk5')))
% 1.72/2.40         = (((((~) @ ($true))) & ($true))))),
% 1.72/2.40      inference('demod', [status(thm)],
% 1.72/2.40                [zip_derived_cl123, zip_derived_cl124, zip_derived_cl132])).
% 1.72/2.40  thf(zip_derived_cl134, plain, (~ ((('#sk1' @ '#sk5') => ('#sk2' @ '#sk5')))),
% 1.72/2.40      inference('simplify boolean subterms', [status(thm)], [zip_derived_cl133])).
% 1.72/2.40  thf(zip_derived_cl136, plain, (~ ('#sk2' @ '#sk5')),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl134])).
% 1.72/2.40  thf(zip_derived_cl135, plain, ( ('#sk1' @ '#sk5')),
% 1.72/2.40      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl134])).
% 1.72/2.40  thf(zip_derived_cl41, plain, (![X0 : a]: ( ('#sk2' @ X0) | ~ ('#sk1' @ X0))),
% 1.72/2.40      inference('simplify', [status(thm)], [zip_derived_cl40])).
% 1.72/2.40  thf(zip_derived_cl137, plain, ( ('#sk2' @ '#sk5')),
% 1.72/2.40      inference('sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl41])).
% 1.72/2.40  thf(zip_derived_cl141, plain, ($false),
% 1.72/2.40      inference('demod', [status(thm)], [zip_derived_cl136, zip_derived_cl137])).
% 1.72/2.40  
% 1.72/2.40  % SZS output end Refutation
% 1.72/2.40  
% 1.72/2.40  
% 1.72/2.40  % Terminating...
% 1.80/2.67  % Runner terminated.
% 1.84/2.71  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------