TSTP Solution File: SYO246^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO246^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xBxhq6gJj2 true
% Computer : n026.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 : Fri Sep 1 05:50:27 EDT 2023
% Result : Theorem 24.20s 3.74s
% Output : Refutation 24.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO246^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xBxhq6gJj2 true
% 0.18/0.35 % Computer : n026.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sat Aug 26 07:30:18 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.38/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.38/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.38/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.38/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 24.20/3.74 % Solved by lams/35_full_unif4.sh.
% 24.20/3.74 % done 377 iterations in 2.925s
% 24.20/3.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 24.20/3.74 % SZS output start Refutation
% 24.20/3.74 thf(a_type, type, a: $tType).
% 24.20/3.74 thf('#sk206_type', type, '#sk206': a > $o).
% 24.20/3.74 thf('#sk191_type', type, '#sk191': (((a > $o) > $o) > a > $o) > (a > $o) > $o).
% 24.20/3.74 thf('#sk183_type', type, '#sk183': ((a > $o) > $o) > a > $o).
% 24.20/3.74 thf('#form213_type', type, '#form213': $o).
% 24.20/3.74 thf('#sk51_type', type, '#sk51': a).
% 24.20/3.74 thf('#form196_type', type, '#form196': $o).
% 24.20/3.74 thf('#sk236_type', type, '#sk236': ((a > $o) > $o) > a > $o).
% 24.20/3.74 thf('#form221_type', type, '#form221': $o).
% 24.20/3.74 thf('#sk1_type', type, '#sk1': ((a > $o) > $o) > $o).
% 24.20/3.74 thf('#sk184_type', type, '#sk184': (a > $o) > $o).
% 24.20/3.74 thf(cTHM535, conjecture,
% 24.20/3.74 (( ![Xs:( ( ( a > $o ) > $o ) > $o )]:
% 24.20/3.74 ( ( ![X:( ( a > $o ) > $o )]:
% 24.20/3.74 ( ( Xs @ X ) => ( ?[Xt:( a > $o )]: ( X @ Xt ) ) ) ) =>
% 24.20/3.74 ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
% 24.20/3.74 ( ![X:( ( a > $o ) > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) =>
% 24.20/3.74 ( ![A:( ( ( a > $o ) > $o ) > $o )]:
% 24.20/3.74 ( ( ( ![X:( ( a > $o ) > $o )]:
% 24.20/3.74 ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) &
% 24.20/3.74 ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) ) =>
% 24.20/3.74 ( ( ^[Xx:a]:
% 24.20/3.74 ( ![Xa:( ( a > $o ) > $o )]:
% 24.20/3.74 ( ( A @ Xa ) =>
% 24.20/3.74 ( ?[Xb:( a > $o )]: ( ( Xa @ Xb ) & ( Xb @ Xx ) ) ) ) ) ) =
% 24.20/3.74 ( ^[Xx:a]:
% 24.20/3.74 ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
% 24.20/3.74 ( ![Xa:( ( a > $o ) > $o )]:
% 24.20/3.74 ( ( A @ Xa ) => ( ( Xf @ Xa @ Xx ) & ( Xa @ ( Xf @ Xa ) ) ) ) ) ) ) ) ) ))).
% 24.20/3.74 thf(zf_stmt_0, negated_conjecture,
% 24.20/3.74 (~( ( ![Xs:( ( ( a > $o ) > $o ) > $o )]:
% 24.20/3.74 ( ( ![X:( ( a > $o ) > $o )]:
% 24.20/3.74 ( ( Xs @ X ) => ( ?[Xt:( a > $o )]: ( X @ Xt ) ) ) ) =>
% 24.20/3.74 ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
% 24.20/3.74 ( ![X:( ( a > $o ) > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) =>
% 24.20/3.74 ( ![A:( ( ( a > $o ) > $o ) > $o )]:
% 24.20/3.74 ( ( ( ![X:( ( a > $o ) > $o )]:
% 24.20/3.74 ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) &
% 24.20/3.74 ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) ) =>
% 24.20/3.74 ( ( ^[Xx:a]:
% 24.20/3.74 ( ![Xa:( ( a > $o ) > $o )]:
% 24.20/3.74 ( ( A @ Xa ) =>
% 24.20/3.74 ( ?[Xb:( a > $o )]: ( ( Xa @ Xb ) & ( Xb @ Xx ) ) ) ) ) ) =
% 24.20/3.74 ( ^[Xx:a]:
% 24.20/3.74 ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
% 24.20/3.74 ( ![Xa:( ( a > $o ) > $o )]:
% 24.20/3.74 ( ( A @ Xa ) => ( ( Xf @ Xa @ Xx ) & ( Xa @ ( Xf @ Xa ) ) ) ) ) ) ) ) ) ) )),
% 24.20/3.74 inference('cnf.neg', [status(esa)], [cTHM535])).
% 24.20/3.74 thf(zip_derived_cl0, plain,
% 24.20/3.74 (~ (((((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
% 24.20/3.74 (((((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 (((Y0 @ Y1) =>
% 24.20/3.74 (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))) =>
% 24.20/3.74 (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y2 : (a > $o) > $o]:
% 24.20/3.74 (((Y0 @ Y2) => (Y2 @
% 24.20/3.74 (Y1 @ Y2))))))))))))))) =>
% 24.20/3.74 (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
% 24.20/3.74 (((((((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 (((Y0 @ Y1) =>
% 24.20/3.74 (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))) &
% 24.20/3.74 (((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))))) =>
% 24.20/3.74 ((((^[Y1 : a]:
% 24.20/3.74 (((!!) @ (^[Y2 : (a > $o) > $o]:
% 24.20/3.74 (((Y0 @ Y2) =>
% 24.20/3.74 (((??) @ (^[Y3 : a > $o]:
% 24.20/3.74 (((Y2 @ Y3) & (Y3 @
% 24.20/3.74 Y1))))))))))))) =
% 24.20/3.74 ((^[Y1 : a]:
% 24.20/3.74 (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y3 : (a > $o) > $o]:
% 24.20/3.74 (((Y0 @ Y3) =>
% 24.20/3.74 (((Y2 @ Y3 @ Y1) &
% 24.20/3.74 (Y3 @ (Y2 @ Y3)))))))))))))))))))))))),
% 24.20/3.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 24.20/3.74 thf(zip_derived_cl2, plain,
% 24.20/3.74 (~ (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
% 24.20/3.74 (((((((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 (((Y0 @ Y1) =>
% 24.20/3.74 (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))) &
% 24.20/3.74 (((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))))) =>
% 24.20/3.74 ((((^[Y1 : a]:
% 24.20/3.74 (((!!) @ (^[Y2 : (a > $o) > $o]:
% 24.20/3.74 (((Y0 @ Y2) =>
% 24.20/3.74 (((??) @ (^[Y3 : a > $o]:
% 24.20/3.74 (((Y2 @ Y3) & (Y3 @ Y1))))))))))))) =
% 24.20/3.74 ((^[Y1 : a]:
% 24.20/3.74 (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y3 : (a > $o) > $o]:
% 24.20/3.74 (((Y0 @ Y3) =>
% 24.20/3.74 (((Y2 @ Y3 @ Y1) &
% 24.20/3.74 (Y3 @ (Y2 @ Y3)))))))))))))))))))))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
% 24.20/3.74 thf(zip_derived_cl5, plain,
% 24.20/3.74 (~ (((((((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]: (Y0 @ Y1))))))))) &
% 24.20/3.74 (((??) @ (^[Y0 : (a > $o) > $o]: ('#sk1' @ Y0)))))) =>
% 24.20/3.74 ((((^[Y0 : a]:
% 24.20/3.74 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y1) =>
% 24.20/3.74 (((??) @ (^[Y2 : a > $o]:
% 24.20/3.74 (((Y1 @ Y2) & (Y2 @ Y0))))))))))))) =
% 24.20/3.74 ((^[Y0 : a]:
% 24.20/3.74 (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y2 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y2) =>
% 24.20/3.74 (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2))))))))))))))))))),
% 24.20/3.74 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
% 24.20/3.74 thf(zip_derived_cl8, plain,
% 24.20/3.74 (~ ((((^[Y0 : a]:
% 24.20/3.74 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y1) =>
% 24.20/3.74 (((??) @ (^[Y2 : a > $o]:
% 24.20/3.74 (((Y1 @ Y2) & (Y2 @ Y0))))))))))))) =
% 24.20/3.74 ((^[Y0 : a]:
% 24.20/3.74 (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y2 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y2) =>
% 24.20/3.74 (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2))))))))))))))))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])).
% 24.20/3.74 thf(zip_derived_cl12, plain,
% 24.20/3.74 ((((^[Y0 : a]:
% 24.20/3.74 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y1) =>
% 24.20/3.74 (((??) @ (^[Y2 : a > $o]: (((Y1 @ Y2) & (Y2 @ Y0)))))))))))))
% 24.20/3.74 != ((^[Y0 : a]:
% 24.20/3.74 (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y2 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y2) =>
% 24.20/3.74 (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2)))))))))))))))),
% 24.20/3.74 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])).
% 24.20/3.74 thf(zip_derived_cl35, plain,
% 24.20/3.74 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @
% 24.20/3.74 (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ (^[Y2 : a]: (Y1 @ Y2))) & (Y1 @
% 24.20/3.74 '#sk51')))))))))))
% 24.20/3.74 != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @
% 24.20/3.74 (^[Y2 : a > $o]:
% 24.20/3.74 (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
% 24.20/3.74 (((Y0 @
% 24.20/3.74 (^[Y2 : a > $o]:
% 24.20/3.74 (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @
% 24.20/3.74 '#sk51') & (Y1 @
% 24.20/3.74 (^[Y2 : a]:
% 24.20/3.74 (Y0 @
% 24.20/3.74 (^[Y3 : a > $o]:
% 24.20/3.74 (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @
% 24.20/3.74 Y2))))))))))))))),
% 24.20/3.74 inference('neg_ext', [status(thm)], [zip_derived_cl12])).
% 24.20/3.74 thf(zip_derived_cl36, plain,
% 24.20/3.74 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk51')))))))))))
% 24.20/3.74 != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y1) =>
% 24.20/3.74 (((Y0 @ Y1 @ '#sk51') & (Y1 @ (Y0 @ Y1)))))))))))))),
% 24.20/3.74 inference('ho_norm', [status(thm)], [zip_derived_cl35])).
% 24.20/3.74 thf(zip_derived_cl123, plain,
% 24.20/3.74 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk51')))))))))))
% 24.20/3.74 != ((^[Y0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @
% 24.20/3.74 (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
% 24.20/3.74 (((Y0 @
% 24.20/3.74 (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @
% 24.20/3.74 '#sk51') & (Y1 @
% 24.20/3.74 (^[Y2 : a]:
% 24.20/3.74 (Y0 @
% 24.20/3.74 (^[Y3 : a > $o]:
% 24.20/3.74 (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @
% 24.20/3.74 Y2))))))))))) @
% 24.20/3.74 '#sk183'))),
% 24.20/3.74 inference('quantifier_rw', [status(thm)], [zip_derived_cl36])).
% 24.20/3.74 thf(zip_derived_cl124, plain,
% 24.20/3.74 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk51')))))))))))
% 24.20/3.74 != (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 inference('ho_norm', [status(thm)], [zip_derived_cl123])).
% 24.20/3.74 thf(zip_derived_cl125, plain,
% 24.20/3.74 (![X-289 : (a > $o) > $o]:
% 24.20/3.74 ( ((^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))) @
% 24.20/3.74 X-289)
% 24.20/3.74 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 inference('forall_hoist', [status(thm)], [zip_derived_cl124])).
% 24.20/3.74 thf(zip_derived_cl144, plain,
% 24.20/3.74 (![X-289 : (a > $o) > $o]:
% 24.20/3.74 ( ((('#sk1' @ X-289) =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: (((X-289 @ Y0) & (Y0 @ '#sk51'))))))))
% 24.20/3.74 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 inference('ho_norm', [status(thm)], [zip_derived_cl125])).
% 24.20/3.74 thf(zip_derived_cl145, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( ((('#sk1' @ X0) =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: (((X0 @ Y0) & (Y0 @ '#sk51'))))))))
% 24.20/3.74 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 inference('cannonize vars', [status(thm)], [zip_derived_cl144])).
% 24.20/3.74 thf(zip_derived_cl145, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( ((('#sk1' @ X0) =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: (((X0 @ Y0) & (Y0 @ '#sk51'))))))))
% 24.20/3.74 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 inference('cannonize vars', [status(thm)], [zip_derived_cl144])).
% 24.20/3.74 thf(zip_derived_cl146, plain,
% 24.20/3.74 ((~ ('#form196')
% 24.20/3.74 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 define([status(thm)])).
% 24.20/3.74 thf(zip_derived_cl151, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( ('#form196')
% 24.20/3.74 | ((('#sk1' @ X0) =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: (((X0 @ Y0) & (Y0 @ '#sk51')))))))))),
% 24.20/3.74 inference('renaming', [status(thm)],
% 24.20/3.74 [zip_derived_cl145, zip_derived_cl146])).
% 24.20/3.74 thf(zip_derived_cl168, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 (~ ('#sk1' @ X0)
% 24.20/3.74 | (((??) @ (^[Y0 : a > $o]: (((X0 @ Y0) & (Y0 @ '#sk51'))))))
% 24.20/3.74 | ('#form196'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl151])).
% 24.20/3.74 thf(zip_derived_cl181, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( (((X0 @ ('#sk236' @ X0)) & ('#sk236' @ X0 @ '#sk51')))
% 24.20/3.74 | ('#form196')
% 24.20/3.74 | ~ ('#sk1' @ X0))),
% 24.20/3.74 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl168])).
% 24.20/3.74 thf(zip_derived_cl194, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( ('#sk236' @ X0 @ '#sk51') | ~ ('#sk1' @ X0) | ('#form196'))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl181])).
% 24.20/3.74 thf(zip_derived_cl146, plain,
% 24.20/3.74 ((~ ('#form196')
% 24.20/3.74 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 define([status(thm)])).
% 24.20/3.74 thf(zip_derived_cl147, plain,
% 24.20/3.74 (![X2 : (a > $o) > $o]:
% 24.20/3.74 ( ((('#sk1' @ X2) =>
% 24.20/3.74 ((('#sk183' @ X2 @ '#sk51') & (X2 @ ('#sk183' @ X2))))))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl146])).
% 24.20/3.74 thf(zip_derived_cl169, plain,
% 24.20/3.74 (![X2 : (a > $o) > $o]:
% 24.20/3.74 (~ ('#sk1' @ X2)
% 24.20/3.74 | ((('#sk183' @ X2 @ '#sk51') & (X2 @ ('#sk183' @ X2))))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])).
% 24.20/3.74 thf(zip_derived_cl182, plain,
% 24.20/3.74 (![X2 : (a > $o) > $o]:
% 24.20/3.74 ( ('#sk183' @ X2 @ '#sk51') | ~ ('#form196') | ~ ('#sk1' @ X2))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
% 24.20/3.74 thf(zip_derived_cl182, plain,
% 24.20/3.74 (![X2 : (a > $o) > $o]:
% 24.20/3.74 ( ('#sk183' @ X2 @ '#sk51') | ~ ('#form196') | ~ ('#sk1' @ X2))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
% 24.20/3.74 thf(zip_derived_cl36, plain,
% 24.20/3.74 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk51')))))))))))
% 24.20/3.74 != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y1) =>
% 24.20/3.74 (((Y0 @ Y1 @ '#sk51') & (Y1 @ (Y0 @ Y1)))))))))))))),
% 24.20/3.74 inference('ho_norm', [status(thm)], [zip_derived_cl35])).
% 24.20/3.74 thf(zip_derived_cl120, plain,
% 24.20/3.74 (![X-288 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ ((^[Y0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y1) =>
% 24.20/3.74 (((Y0 @ Y1 @ '#sk51') & (Y1 @ (Y0 @ Y1)))))))))) @
% 24.20/3.74 X-288)
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 inference('exists_hoist', [status(thm)], [zip_derived_cl36])).
% 24.20/3.74 thf(zip_derived_cl135, plain,
% 24.20/3.74 (![X-288 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((X-288 @ Y0 @ '#sk51') & (Y0 @ (X-288 @ Y0)))))))))
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 inference('ho_norm', [status(thm)], [zip_derived_cl120])).
% 24.20/3.74 thf(zip_derived_cl136, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((X0 @ Y0 @ '#sk51') & (Y0 @ (X0 @ Y0)))))))))
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 inference('cannonize vars', [status(thm)], [zip_derived_cl135])).
% 24.20/3.74 thf(zip_derived_cl137, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ ((('#sk1' @ ('#sk191' @ X0)) =>
% 24.20/3.74 (((X0 @ ('#sk191' @ X0) @ '#sk51') & ('#sk191' @ X0 @
% 24.20/3.74 (X0 @ ('#sk191' @ X0)))))))
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl136])).
% 24.20/3.74 thf(zip_derived_cl152, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 ( ('#sk1' @ ('#sk191' @ X0))
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])).
% 24.20/3.74 thf(zip_derived_cl152, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 ( ('#sk1' @ ('#sk191' @ X0))
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])).
% 24.20/3.74 thf(zip_derived_cl170, plain,
% 24.20/3.74 (( ('#form221')
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 define([status(thm)])).
% 24.20/3.74 thf(zip_derived_cl172, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ ('#form221') | ('#sk1' @ ('#sk191' @ X0)))),
% 24.20/3.74 inference('renaming', [status(thm)],
% 24.20/3.74 [zip_derived_cl152, zip_derived_cl170])).
% 24.20/3.74 thf(zip_derived_cl183, plain,
% 24.20/3.74 (![X2 : (a > $o) > $o]:
% 24.20/3.74 ( (X2 @ ('#sk183' @ X2)) | ~ ('#form196') | ~ ('#sk1' @ X2))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
% 24.20/3.74 thf(zip_derived_cl359, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ ('#form221')
% 24.20/3.74 | ~ ('#form196')
% 24.20/3.74 | ('#sk191' @ X0 @ ('#sk183' @ ('#sk191' @ X0))))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl183])).
% 24.20/3.74 thf(zip_derived_cl170, plain,
% 24.20/3.74 (( ('#form221')
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 define([status(thm)])).
% 24.20/3.74 thf(zip_derived_cl171, plain,
% 24.20/3.74 ((~ ((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51'))))))))
% 24.20/3.74 | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl170])).
% 24.20/3.74 thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
% 24.20/3.74 thf(zip_derived_cl183, plain,
% 24.20/3.74 (![X2 : (a > $o) > $o]:
% 24.20/3.74 ( (X2 @ ('#sk183' @ X2)) | ~ ('#form196') | ~ ('#sk1' @ X2))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
% 24.20/3.74 thf(zip_derived_cl360, plain,
% 24.20/3.74 (( ('#form221') | ~ ('#form196') | ('#sk184' @ ('#sk183' @ '#sk184')))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl183])).
% 24.20/3.74 thf(zip_derived_cl185, plain,
% 24.20/3.74 ((~ (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51'))))))
% 24.20/3.74 | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
% 24.20/3.74 thf(zip_derived_cl195, plain,
% 24.20/3.74 (![X2 : a > $o]: (~ ((('#sk184' @ X2) & (X2 @ '#sk51'))) | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl185])).
% 24.20/3.74 thf(zip_derived_cl201, plain,
% 24.20/3.74 (![X2 : a > $o]: (~ ('#sk184' @ X2) | ~ (X2 @ '#sk51') | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl195])).
% 24.20/3.74 thf(zip_derived_cl469, plain,
% 24.20/3.74 ((~ ('#form196')
% 24.20/3.74 | ('#form221')
% 24.20/3.74 | ('#form221')
% 24.20/3.74 | ~ ('#sk183' @ '#sk184' @ '#sk51'))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl360, zip_derived_cl201])).
% 24.20/3.74 thf(zip_derived_cl472, plain,
% 24.20/3.74 ((~ ('#sk183' @ '#sk184' @ '#sk51') | ('#form221') | ~ ('#form196'))),
% 24.20/3.74 inference('simplify', [status(thm)], [zip_derived_cl469])).
% 24.20/3.74 thf(zip_derived_cl124, plain,
% 24.20/3.74 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk51')))))))))))
% 24.20/3.74 != (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 inference('ho_norm', [status(thm)], [zip_derived_cl123])).
% 24.20/3.74 thf(zip_derived_cl134, plain,
% 24.20/3.74 ((((^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ (^[Y2 : a]: (Y1 @ Y2))) & (Y1 @ '#sk51'))))))))) @
% 24.20/3.74 '#sk184')
% 24.20/3.74 != (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 inference('quantifier_rw', [status(thm)], [zip_derived_cl124])).
% 24.20/3.74 thf(zip_derived_cl138, plain,
% 24.20/3.74 ((((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51'))))))))
% 24.20/3.74 != (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 inference('ho_norm', [status(thm)], [zip_derived_cl134])).
% 24.20/3.74 thf(zip_derived_cl139, plain,
% 24.20/3.74 (![X-307 : (a > $o) > $o]:
% 24.20/3.74 ( ((^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))) @
% 24.20/3.74 X-307)
% 24.20/3.74 | ((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51')))))))))),
% 24.20/3.74 inference('forall_hoist', [status(thm)], [zip_derived_cl138])).
% 24.20/3.74 thf(zip_derived_cl163, plain,
% 24.20/3.74 (![X-307 : (a > $o) > $o]:
% 24.20/3.74 ( ((('#sk1' @ X-307) =>
% 24.20/3.74 ((('#sk183' @ X-307 @ '#sk51') & (X-307 @ ('#sk183' @ X-307))))))
% 24.20/3.74 | ((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51')))))))))),
% 24.20/3.74 inference('ho_norm', [status(thm)], [zip_derived_cl139])).
% 24.20/3.74 thf(zip_derived_cl164, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( ((('#sk1' @ X0) =>
% 24.20/3.74 ((('#sk183' @ X0 @ '#sk51') & (X0 @ ('#sk183' @ X0))))))
% 24.20/3.74 | ((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51')))))))))),
% 24.20/3.74 inference('cannonize vars', [status(thm)], [zip_derived_cl163])).
% 24.20/3.74 thf(zip_derived_cl164, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( ((('#sk1' @ X0) =>
% 24.20/3.74 ((('#sk183' @ X0 @ '#sk51') & (X0 @ ('#sk183' @ X0))))))
% 24.20/3.74 | ((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51')))))))))),
% 24.20/3.74 inference('cannonize vars', [status(thm)], [zip_derived_cl163])).
% 24.20/3.74 thf(zip_derived_cl165, plain,
% 24.20/3.74 ((~ ('#form213')
% 24.20/3.74 | ((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51')))))))))),
% 24.20/3.74 define([status(thm)])).
% 24.20/3.74 thf(zip_derived_cl167, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( ('#form213')
% 24.20/3.74 | ((('#sk1' @ X0) =>
% 24.20/3.74 ((('#sk183' @ X0 @ '#sk51') & (X0 @ ('#sk183' @ X0)))))))),
% 24.20/3.74 inference('renaming', [status(thm)],
% 24.20/3.74 [zip_derived_cl164, zip_derived_cl165])).
% 24.20/3.74 thf(zip_derived_cl179, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 (~ ('#sk1' @ X0)
% 24.20/3.74 | ((('#sk183' @ X0 @ '#sk51') & (X0 @ ('#sk183' @ X0))))
% 24.20/3.74 | ('#form213'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl167])).
% 24.20/3.74 thf(zip_derived_cl189, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( ('#sk183' @ X0 @ '#sk51') | ('#form213') | ~ ('#sk1' @ X0))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl179])).
% 24.20/3.74 thf(zip_derived_cl475, plain,
% 24.20/3.74 ((~ ('#form196') | ('#form221') | ~ ('#sk1' @ '#sk184') | ('#form213'))),
% 24.20/3.74 inference('sup+', [status(thm)], [zip_derived_cl472, zip_derived_cl189])).
% 24.20/3.74 thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
% 24.20/3.74 thf(zip_derived_cl493, plain,
% 24.20/3.74 (( ('#form213') | ('#form221') | ~ ('#form196'))),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl475, zip_derived_cl184])).
% 24.20/3.74 thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
% 24.20/3.74 thf(zip_derived_cl165, plain,
% 24.20/3.74 ((~ ('#form213')
% 24.20/3.74 | ((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51')))))))))),
% 24.20/3.74 define([status(thm)])).
% 24.20/3.74 thf(zip_derived_cl166, plain,
% 24.20/3.74 ((~ ('#sk1' @ '#sk184')
% 24.20/3.74 | (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51'))))))
% 24.20/3.74 | ~ ('#form213'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl165])).
% 24.20/3.74 thf(zip_derived_cl180, plain,
% 24.20/3.74 (( ((('#sk184' @ '#sk206') & ('#sk206' @ '#sk51')))
% 24.20/3.74 | ~ ('#form213')
% 24.20/3.74 | ~ ('#sk1' @ '#sk184'))),
% 24.20/3.74 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl166])).
% 24.20/3.74 thf(zip_derived_cl191, plain,
% 24.20/3.74 (( ('#sk184' @ '#sk206') | ~ ('#sk1' @ '#sk184') | ~ ('#form213'))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl180])).
% 24.20/3.74 thf(zip_derived_cl210, plain,
% 24.20/3.74 (( ('#form221') | ~ ('#form213') | ('#sk184' @ '#sk206'))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl191])).
% 24.20/3.74 thf(zip_derived_cl195, plain,
% 24.20/3.74 (![X2 : a > $o]: (~ ((('#sk184' @ X2) & (X2 @ '#sk51'))) | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl185])).
% 24.20/3.74 thf(zip_derived_cl196, plain,
% 24.20/3.74 ((~ ((('#sk184' @ '#sk206') & ('#sk206' @ '#sk51'))) | ('#form221'))),
% 24.20/3.74 inference('triggered_bool_instantiation', [status(thm)],
% 24.20/3.74 [zip_derived_cl195])).
% 24.20/3.74 thf(zip_derived_cl280, plain,
% 24.20/3.74 ((~ ('#sk184' @ '#sk206') | ~ ('#sk206' @ '#sk51') | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl196])).
% 24.20/3.74 thf(zip_derived_cl281, plain,
% 24.20/3.74 ((~ ('#form213') | ('#form221') | ('#form221') | ~ ('#sk206' @ '#sk51'))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl280])).
% 24.20/3.74 thf(zip_derived_cl284, plain,
% 24.20/3.74 ((~ ('#sk206' @ '#sk51') | ('#form221') | ~ ('#form213'))),
% 24.20/3.74 inference('simplify', [status(thm)], [zip_derived_cl281])).
% 24.20/3.74 thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
% 24.20/3.74 thf(zip_derived_cl192, plain,
% 24.20/3.74 (( ('#sk206' @ '#sk51') | ~ ('#sk1' @ '#sk184') | ~ ('#form213'))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl180])).
% 24.20/3.74 thf(zip_derived_cl216, plain,
% 24.20/3.74 (( ('#form221') | ~ ('#form213') | ('#sk206' @ '#sk51'))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl192])).
% 24.20/3.74 thf(zip_derived_cl285, plain, ((~ ('#form213') | ('#form221'))),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl216])).
% 24.20/3.74 thf(zip_derived_cl494, plain, ((~ ('#form196') | ('#form221'))),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl493, zip_derived_cl285])).
% 24.20/3.74 thf(zip_derived_cl505, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 ( ('#sk191' @ X0 @ ('#sk183' @ ('#sk191' @ X0))) | ~ ('#form196'))),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl359, zip_derived_cl494])).
% 24.20/3.74 thf(zip_derived_cl138, plain,
% 24.20/3.74 ((((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51'))))))))
% 24.20/3.74 != (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 inference('ho_norm', [status(thm)], [zip_derived_cl134])).
% 24.20/3.74 thf(zip_derived_cl143, plain,
% 24.20/3.74 ((((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51'))))))))
% 24.20/3.74 != ((^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
% 24.20/3.74 ((('#sk183' @
% 24.20/3.74 (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2)))) @
% 24.20/3.74 '#sk51') & (Y0 @
% 24.20/3.74 (^[Y1 : a]:
% 24.20/3.74 ('#sk183' @
% 24.20/3.74 (^[Y2 : a > $o]: (Y0 @ (^[Y3 : a]: (Y2 @ Y3)))) @ Y1)))))))) @
% 24.20/3.74 ('#sk191' @ '#sk183')))),
% 24.20/3.74 inference('quantifier_rw', [status(thm)], [zip_derived_cl138])).
% 24.20/3.74 thf(zip_derived_cl154, plain,
% 24.20/3.74 ((((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51'))))))))
% 24.20/3.74 != ((('#sk1' @ ('#sk191' @ '#sk183')) =>
% 24.20/3.74 ((('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51') & ('#sk191' @
% 24.20/3.74 '#sk183' @ ('#sk183' @ ('#sk191' @ '#sk183'))))))))),
% 24.20/3.74 inference('ho_norm', [status(thm)], [zip_derived_cl143])).
% 24.20/3.74 thf(zip_derived_cl162, plain,
% 24.20/3.74 ((((('#sk1' @ '#sk184') =>
% 24.20/3.74 ((^[Y0 : a > $o]:
% 24.20/3.74 ((('#sk184' @ (^[Y1 : a]: (Y0 @ Y1))) & (Y0 @ '#sk51')))) @
% 24.20/3.74 '#sk206')))
% 24.20/3.74 != ((('#sk1' @ ('#sk191' @ '#sk183')) =>
% 24.20/3.74 ((('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51') & ('#sk191' @
% 24.20/3.74 '#sk183' @ ('#sk183' @ ('#sk191' @ '#sk183'))))))))),
% 24.20/3.74 inference('quantifier_rw', [status(thm)], [zip_derived_cl154])).
% 24.20/3.74 thf(zip_derived_cl174, plain,
% 24.20/3.74 ((((('#sk1' @ '#sk184') =>
% 24.20/3.74 ((('#sk184' @ '#sk206') & ('#sk206' @ '#sk51')))))
% 24.20/3.74 != ((('#sk1' @ ('#sk191' @ '#sk183')) =>
% 24.20/3.74 ((('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51') & ('#sk191' @
% 24.20/3.74 '#sk183' @ ('#sk183' @ ('#sk191' @ '#sk183'))))))))),
% 24.20/3.74 inference('ho_norm', [status(thm)], [zip_derived_cl162])).
% 24.20/3.74 thf(zip_derived_cl506, plain,
% 24.20/3.74 (((((('#sk1' @ '#sk184') =>
% 24.20/3.74 ((('#sk184' @ '#sk206') & ('#sk206' @ '#sk51')))))
% 24.20/3.74 != ((('#sk1' @ ('#sk191' @ '#sk183')) =>
% 24.20/3.74 ((('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51') & ($true))))))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl505, zip_derived_cl174])).
% 24.20/3.74 thf(zip_derived_cl507, plain,
% 24.20/3.74 (((((('#sk1' @ '#sk184') =>
% 24.20/3.74 ((('#sk184' @ '#sk206') & ('#sk206' @ '#sk51')))))
% 24.20/3.74 != ((('#sk1' @ ('#sk191' @ '#sk183')) => ('#sk183' @
% 24.20/3.74 ('#sk191' @ '#sk183') @ '#sk51'))))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl506])).
% 24.20/3.74 thf(zip_derived_cl172, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ ('#form221') | ('#sk1' @ ('#sk191' @ X0)))),
% 24.20/3.74 inference('renaming', [status(thm)],
% 24.20/3.74 [zip_derived_cl152, zip_derived_cl170])).
% 24.20/3.74 thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
% 24.20/3.74 thf(zip_derived_cl190, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( (X0 @ ('#sk183' @ X0)) | ('#form213') | ~ ('#sk1' @ X0))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl179])).
% 24.20/3.74 thf(zip_derived_cl544, plain,
% 24.20/3.74 (( ('#form221') | ('#form213') | ('#sk184' @ ('#sk183' @ '#sk184')))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl190])).
% 24.20/3.74 thf(zip_derived_cl285, plain, ((~ ('#form213') | ('#form221'))),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl216])).
% 24.20/3.74 thf(zip_derived_cl548, plain,
% 24.20/3.74 (( ('#sk184' @ ('#sk183' @ '#sk184')) | ('#form221'))),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl544, zip_derived_cl285])).
% 24.20/3.74 thf(zip_derived_cl201, plain,
% 24.20/3.74 (![X2 : a > $o]: (~ ('#sk184' @ X2) | ~ (X2 @ '#sk51') | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl195])).
% 24.20/3.74 thf(zip_derived_cl549, plain,
% 24.20/3.74 (( ('#form221') | ('#form221') | ~ ('#sk183' @ '#sk184' @ '#sk51'))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl548, zip_derived_cl201])).
% 24.20/3.74 thf(zip_derived_cl551, plain,
% 24.20/3.74 ((~ ('#sk183' @ '#sk184' @ '#sk51') | ('#form221'))),
% 24.20/3.74 inference('simplify', [status(thm)], [zip_derived_cl549])).
% 24.20/3.74 thf(zip_derived_cl189, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( ('#sk183' @ X0 @ '#sk51') | ('#form213') | ~ ('#sk1' @ X0))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl179])).
% 24.20/3.74 thf(zip_derived_cl552, plain,
% 24.20/3.74 (( ('#form221') | ~ ('#sk1' @ '#sk184') | ('#form213'))),
% 24.20/3.74 inference('sup+', [status(thm)], [zip_derived_cl551, zip_derived_cl189])).
% 24.20/3.74 thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') | ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
% 24.20/3.74 thf(zip_derived_cl564, plain, (( ('#form213') | ('#form221'))),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl552, zip_derived_cl184])).
% 24.20/3.74 thf(zip_derived_cl285, plain, ((~ ('#form213') | ('#form221'))),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl216])).
% 24.20/3.74 thf(zip_derived_cl565, plain, ( ('#form221')),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl564, zip_derived_cl285])).
% 24.20/3.74 thf(zip_derived_cl566, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]: ('#sk1' @ ('#sk191' @ X0))),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl565])).
% 24.20/3.74 thf(zip_derived_cl708, plain,
% 24.20/3.74 (((((('#sk1' @ '#sk184') =>
% 24.20/3.74 ((('#sk184' @ '#sk206') & ('#sk206' @ '#sk51')))))
% 24.20/3.74 != ((($true) => ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl507, zip_derived_cl566])).
% 24.20/3.74 thf(zip_derived_cl709, plain,
% 24.20/3.74 (((((('#sk1' @ '#sk184') =>
% 24.20/3.74 ((('#sk184' @ '#sk206') & ('#sk206' @ '#sk51')))))
% 24.20/3.74 != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl708])).
% 24.20/3.74 thf(zip_derived_cl719, plain,
% 24.20/3.74 (( ('#sk206' @ '#sk51')
% 24.20/3.74 | (((('#sk1' @ '#sk184') => ((('#sk184' @ '#sk206') & ($false)))))
% 24.20/3.74 != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('bool_hoist', [status(thm)], [zip_derived_cl709])).
% 24.20/3.74 thf(zip_derived_cl720, plain,
% 24.20/3.74 (( ('#sk206' @ '#sk51')
% 24.20/3.74 | ((((~) @ ('#sk1' @ '#sk184')))
% 24.20/3.74 != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl719])).
% 24.20/3.74 thf(zip_derived_cl721, plain,
% 24.20/3.74 (( ('#sk206' @ '#sk51')
% 24.20/3.74 | (('#sk1' @ '#sk184') = ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('simplify nested equalities', [status(thm)],
% 24.20/3.74 [zip_derived_cl720])).
% 24.20/3.74 thf(zip_derived_cl182, plain,
% 24.20/3.74 (![X2 : (a > $o) > $o]:
% 24.20/3.74 ( ('#sk183' @ X2 @ '#sk51') | ~ ('#form196') | ~ ('#sk1' @ X2))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
% 24.20/3.74 thf(zip_derived_cl741, plain,
% 24.20/3.74 (( ('#sk1' @ '#sk184')
% 24.20/3.74 | ~ ('#form196')
% 24.20/3.74 | ('#sk206' @ '#sk51')
% 24.20/3.74 | ~ ('#sk1' @ ('#sk191' @ '#sk183'))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('sup+', [status(thm)], [zip_derived_cl721, zip_derived_cl182])).
% 24.20/3.74 thf(zip_derived_cl566, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]: ('#sk1' @ ('#sk191' @ X0))),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl565])).
% 24.20/3.74 thf(zip_derived_cl752, plain,
% 24.20/3.74 (( ('#sk1' @ '#sk184')
% 24.20/3.74 | ~ ('#form196')
% 24.20/3.74 | ('#sk206' @ '#sk51')
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl741, zip_derived_cl566])).
% 24.20/3.74 thf(zip_derived_cl753, plain,
% 24.20/3.74 (( ('#sk206' @ '#sk51') | ~ ('#form196') | ('#sk1' @ '#sk184'))),
% 24.20/3.74 inference('simplify', [status(thm)], [zip_derived_cl752])).
% 24.20/3.74 thf(zip_derived_cl709, plain,
% 24.20/3.74 (((((('#sk1' @ '#sk184') =>
% 24.20/3.74 ((('#sk184' @ '#sk206') & ('#sk206' @ '#sk51')))))
% 24.20/3.74 != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl708])).
% 24.20/3.74 thf(zip_derived_cl768, plain,
% 24.20/3.74 (((((('#sk1' @ '#sk184') => ((('#sk184' @ '#sk206') & ($true)))))
% 24.20/3.74 != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
% 24.20/3.74 | ('#sk1' @ '#sk184')
% 24.20/3.74 | ~ ('#form196')
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl753, zip_derived_cl709])).
% 24.20/3.74 thf(zip_derived_cl786, plain,
% 24.20/3.74 ((~ ('#form196')
% 24.20/3.74 | ('#sk1' @ '#sk184')
% 24.20/3.74 | (((('#sk1' @ '#sk184') => ((('#sk184' @ '#sk206') & ($true)))))
% 24.20/3.74 != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51')))),
% 24.20/3.74 inference('simplify', [status(thm)], [zip_derived_cl768])).
% 24.20/3.74 thf(zip_derived_cl787, plain,
% 24.20/3.74 ((~ ('#form196')
% 24.20/3.74 | ('#sk1' @ '#sk184')
% 24.20/3.74 | (((('#sk1' @ '#sk184') => ('#sk184' @ '#sk206')))
% 24.20/3.74 != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51')))),
% 24.20/3.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl786])).
% 24.20/3.74 thf(zip_derived_cl788, plain,
% 24.20/3.74 ((~ ('#form196')
% 24.20/3.74 | ('#sk1' @ '#sk184')
% 24.20/3.74 | (((($false) => ('#sk184' @ '#sk206')))
% 24.20/3.74 != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51')))),
% 24.20/3.74 inference('local_rewriting', [status(thm)], [zip_derived_cl787])).
% 24.20/3.74 thf(zip_derived_cl789, plain,
% 24.20/3.74 ((~ ('#form196')
% 24.20/3.74 | ('#sk1' @ '#sk184')
% 24.20/3.74 | ~ ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))),
% 24.20/3.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl788])).
% 24.20/3.74 thf(zip_derived_cl852, plain,
% 24.20/3.74 ((~ ('#sk1' @ ('#sk191' @ '#sk183'))
% 24.20/3.74 | ~ ('#form196')
% 24.20/3.74 | ('#sk1' @ '#sk184')
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl182, zip_derived_cl789])).
% 24.20/3.74 thf(zip_derived_cl566, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]: ('#sk1' @ ('#sk191' @ X0))),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl565])).
% 24.20/3.74 thf(zip_derived_cl863, plain,
% 24.20/3.74 ((~ ('#form196') | ('#sk1' @ '#sk184') | ~ ('#form196'))),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl852, zip_derived_cl566])).
% 24.20/3.74 thf(zip_derived_cl864, plain, (( ('#sk1' @ '#sk184') | ~ ('#form196'))),
% 24.20/3.74 inference('simplify', [status(thm)], [zip_derived_cl863])).
% 24.20/3.74 thf(zip_derived_cl183, plain,
% 24.20/3.74 (![X2 : (a > $o) > $o]:
% 24.20/3.74 ( (X2 @ ('#sk183' @ X2)) | ~ ('#form196') | ~ ('#sk1' @ X2))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
% 24.20/3.74 thf(zip_derived_cl883, plain,
% 24.20/3.74 ((~ ('#form196') | ~ ('#form196') | ('#sk184' @ ('#sk183' @ '#sk184')))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl864, zip_derived_cl183])).
% 24.20/3.74 thf(zip_derived_cl893, plain,
% 24.20/3.74 (( ('#sk184' @ ('#sk183' @ '#sk184')) | ~ ('#form196'))),
% 24.20/3.74 inference('simplify', [status(thm)], [zip_derived_cl883])).
% 24.20/3.74 thf(zip_derived_cl120, plain,
% 24.20/3.74 (![X-288 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ ((^[Y0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y1) =>
% 24.20/3.74 (((Y0 @ Y1 @ '#sk51') & (Y1 @ (Y0 @ Y1)))))))))) @
% 24.20/3.74 X-288)
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 inference('exists_hoist', [status(thm)], [zip_derived_cl36])).
% 24.20/3.74 thf(zip_derived_cl122, plain,
% 24.20/3.74 ((~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0)))))))))
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 inference('triggered_bool_instantiation', [status(thm)],
% 24.20/3.74 [zip_derived_cl120])).
% 24.20/3.74 thf(zip_derived_cl122, plain,
% 24.20/3.74 ((~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0)))))))))
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 inference('triggered_bool_instantiation', [status(thm)],
% 24.20/3.74 [zip_derived_cl120])).
% 24.20/3.74 thf(zip_derived_cl1613, plain,
% 24.20/3.74 (( ('#form196')
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 define([status(thm)])).
% 24.20/3.74 thf(zip_derived_cl146, plain,
% 24.20/3.74 ((~ ('#form196')
% 24.20/3.74 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
% 24.20/3.74 define([status(thm)])).
% 24.20/3.74 thf(zip_derived_cl1615, plain,
% 24.20/3.74 ((~ ('#form196')
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 inference('renaming', [status(thm)],
% 24.20/3.74 [zip_derived_cl122, zip_derived_cl1613, zip_derived_cl146])).
% 24.20/3.74 thf(zip_derived_cl1616, plain,
% 24.20/3.74 ((~ ((('#sk1' @ '#sk184') =>
% 24.20/3.74 (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51'))))))))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1615])).
% 24.20/3.74 thf(zip_derived_cl1621, plain,
% 24.20/3.74 ((~ (((??) @ (^[Y0 : a > $o]: ((('#sk184' @ Y0) & (Y0 @ '#sk51'))))))
% 24.20/3.74 | ~ ('#form196'))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1616])).
% 24.20/3.74 thf(zip_derived_cl1622, plain,
% 24.20/3.74 (![X2 : a > $o]:
% 24.20/3.74 (~ ((('#sk184' @ X2) & (X2 @ '#sk51'))) | ~ ('#form196'))),
% 24.20/3.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1621])).
% 24.20/3.74 thf(zip_derived_cl1630, plain,
% 24.20/3.74 (![X2 : a > $o]: (~ ('#sk184' @ X2) | ~ (X2 @ '#sk51') | ~ ('#form196'))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1622])).
% 24.20/3.74 thf(zip_derived_cl1724, plain,
% 24.20/3.74 ((~ ('#form196') | ~ ('#form196') | ~ ('#sk183' @ '#sk184' @ '#sk51'))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl893, zip_derived_cl1630])).
% 24.20/3.74 thf(zip_derived_cl1739, plain,
% 24.20/3.74 ((~ ('#sk183' @ '#sk184' @ '#sk51') | ~ ('#form196'))),
% 24.20/3.74 inference('simplify', [status(thm)], [zip_derived_cl1724])).
% 24.20/3.74 thf(zip_derived_cl1750, plain,
% 24.20/3.74 ((~ ('#sk1' @ '#sk184') | ~ ('#form196') | ~ ('#form196'))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl182, zip_derived_cl1739])).
% 24.20/3.74 thf(zip_derived_cl1757, plain, ((~ ('#form196') | ~ ('#sk1' @ '#sk184'))),
% 24.20/3.74 inference('simplify', [status(thm)], [zip_derived_cl1750])).
% 24.20/3.74 thf(zip_derived_cl864, plain, (( ('#sk1' @ '#sk184') | ~ ('#form196'))),
% 24.20/3.74 inference('simplify', [status(thm)], [zip_derived_cl863])).
% 24.20/3.74 thf(zip_derived_cl1775, plain, (~ ('#form196')),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl1757, zip_derived_cl864])).
% 24.20/3.74 thf(zip_derived_cl1777, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]: ( ('#sk236' @ X0 @ '#sk51') | ~ ('#sk1' @ X0))),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl1775])).
% 24.20/3.74 thf(zip_derived_cl566, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]: ('#sk1' @ ('#sk191' @ X0))),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl565])).
% 24.20/3.74 thf(zip_derived_cl193, plain,
% 24.20/3.74 (![X0 : (a > $o) > $o]:
% 24.20/3.74 ( (X0 @ ('#sk236' @ X0)) | ~ ('#sk1' @ X0) | ('#form196'))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl181])).
% 24.20/3.74 thf(zip_derived_cl597, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 ( ('#form196') | ('#sk191' @ X0 @ ('#sk236' @ ('#sk191' @ X0))))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl566, zip_derived_cl193])).
% 24.20/3.74 thf(zip_derived_cl1775, plain, (~ ('#form196')),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl1757, zip_derived_cl864])).
% 24.20/3.74 thf(zip_derived_cl1778, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 ('#sk191' @ X0 @ ('#sk236' @ ('#sk191' @ X0)))),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl597, zip_derived_cl1775])).
% 24.20/3.74 thf(zip_derived_cl153, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ (((X0 @ ('#sk191' @ X0) @ '#sk51') & ('#sk191' @ X0 @
% 24.20/3.74 (X0 @ ('#sk191' @ X0)))))
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])).
% 24.20/3.74 thf(zip_derived_cl170, plain,
% 24.20/3.74 (( ('#form221')
% 24.20/3.74 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 24.20/3.74 ((('#sk1' @ Y0) =>
% 24.20/3.74 (((??) @ (^[Y1 : a > $o]:
% 24.20/3.74 (((Y0 @ Y1) & (Y1 @ '#sk51'))))))))))))),
% 24.20/3.74 define([status(thm)])).
% 24.20/3.74 thf(zip_derived_cl173, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ ('#form221')
% 24.20/3.74 | ~ (((X0 @ ('#sk191' @ X0) @ '#sk51') & ('#sk191' @ X0 @
% 24.20/3.74 (X0 @ ('#sk191' @ X0))))))),
% 24.20/3.74 inference('renaming', [status(thm)],
% 24.20/3.74 [zip_derived_cl153, zip_derived_cl170])).
% 24.20/3.74 thf(zip_derived_cl186, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ (X0 @ ('#sk191' @ X0) @ '#sk51')
% 24.20/3.74 | ~ ('#sk191' @ X0 @ (X0 @ ('#sk191' @ X0)))
% 24.20/3.74 | ~ ('#form221'))),
% 24.20/3.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl173])).
% 24.20/3.74 thf(zip_derived_cl565, plain, ( ('#form221')),
% 24.20/3.74 inference('clc', [status(thm)], [zip_derived_cl564, zip_derived_cl285])).
% 24.20/3.74 thf(zip_derived_cl2106, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]:
% 24.20/3.74 (~ (X0 @ ('#sk191' @ X0) @ '#sk51')
% 24.20/3.74 | ~ ('#sk191' @ X0 @ (X0 @ ('#sk191' @ X0))))),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl565])).
% 24.20/3.74 thf(zip_derived_cl2107, plain,
% 24.20/3.74 (~ ('#sk236' @ ('#sk191' @ '#sk236') @ '#sk51')),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl1778, zip_derived_cl2106])).
% 24.20/3.74 thf(zip_derived_cl2118, plain, (~ ('#sk1' @ ('#sk191' @ '#sk236'))),
% 24.20/3.74 inference('sup-', [status(thm)], [zip_derived_cl1777, zip_derived_cl2107])).
% 24.20/3.74 thf(zip_derived_cl566, plain,
% 24.20/3.74 (![X0 : ((a > $o) > $o) > a > $o]: ('#sk1' @ ('#sk191' @ X0))),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl565])).
% 24.20/3.74 thf(zip_derived_cl2119, plain, ($false),
% 24.20/3.74 inference('demod', [status(thm)], [zip_derived_cl2118, zip_derived_cl566])).
% 24.20/3.74
% 24.20/3.74 % SZS output end Refutation
% 24.20/3.74
% 24.20/3.74
% 24.20/3.74 % Terminating...
% 24.20/3.79 % Runner terminated.
% 24.20/3.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------