TSTP Solution File: SYO244^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO244^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AqoRIKNwqa true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 05:50:26 EDT 2023
% Result : Theorem 19.35s 3.18s
% Output : Refutation 20.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO244^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AqoRIKNwqa true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 05:36:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.16/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.16/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.16/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.16/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.16/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.16/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 19.35/3.18 % Solved by lams/35_full_unif4.sh.
% 19.35/3.18 % done 305 iterations in 2.386s
% 19.35/3.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.35/3.18 % SZS output start Refutation
% 19.35/3.18 thf(a_type, type, a: $tType).
% 19.35/3.18 thf('#sk88_type', type, '#sk88': ((a > $o) > $o) > a > $o).
% 19.35/3.18 thf('#sk2_type', type, '#sk2': ((a > $o) > $o) > $o).
% 19.35/3.18 thf('#form72_type', type, '#form72': $o).
% 19.35/3.18 thf('#form85_type', type, '#form85': $o).
% 19.35/3.18 thf('#sk46_type', type, '#sk46': (((a > $o) > $o) > a > $o) > (a > $o) > $o).
% 19.35/3.18 thf('#form69_type', type, '#form69': $o).
% 19.35/3.18 thf('#sk39_type', type, '#sk39': (a > $o) > $o).
% 19.35/3.18 thf('#sk38_type', type, '#sk38': ((a > $o) > $o) > a > $o).
% 19.35/3.18 thf('#sk60_type', type, '#sk60': a > $o).
% 19.35/3.18 thf('#sk17_type', type, '#sk17': a).
% 19.35/3.18 thf(cTHM535B, conjecture,
% 19.35/3.18 (( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
% 19.35/3.18 ( ![X:( ( a > $o ) > $o )]:
% 19.35/3.18 ( ( ?[Xt:( a > $o )]: ( X @ Xt ) ) => ( X @ ( Xf @ X ) ) ) ) ) =>
% 19.35/3.18 ( ![A:( ( ( a > $o ) > $o ) > $o )]:
% 19.35/3.18 ( ( ( ![X:( ( a > $o ) > $o )]:
% 19.35/3.18 ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) &
% 19.35/3.18 ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) ) =>
% 19.35/3.18 ( ( ^[Xx:a]:
% 19.35/3.18 ( ![Xa:( ( a > $o ) > $o )]:
% 19.35/3.18 ( ( A @ Xa ) =>
% 19.35/3.18 ( ?[Xb:( a > $o )]: ( ( Xa @ Xb ) & ( Xb @ Xx ) ) ) ) ) ) =
% 19.35/3.18 ( ^[Xx:a]:
% 19.35/3.18 ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
% 19.35/3.18 ( ![Xa:( ( a > $o ) > $o )]:
% 19.35/3.18 ( ( A @ Xa ) => ( ( Xf @ Xa @ Xx ) & ( Xa @ ( Xf @ Xa ) ) ) ) ) ) ) ) ) ))).
% 19.35/3.18 thf(zf_stmt_0, negated_conjecture,
% 19.35/3.18 (~( ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
% 19.35/3.18 ( ![X:( ( a > $o ) > $o )]:
% 19.35/3.18 ( ( ?[Xt:( a > $o )]: ( X @ Xt ) ) => ( X @ ( Xf @ X ) ) ) ) ) =>
% 19.35/3.18 ( ![A:( ( ( a > $o ) > $o ) > $o )]:
% 19.35/3.18 ( ( ( ![X:( ( a > $o ) > $o )]:
% 19.35/3.18 ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) &
% 19.35/3.18 ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) ) =>
% 19.35/3.18 ( ( ^[Xx:a]:
% 19.35/3.18 ( ![Xa:( ( a > $o ) > $o )]:
% 19.35/3.18 ( ( A @ Xa ) =>
% 19.35/3.18 ( ?[Xb:( a > $o )]: ( ( Xa @ Xb ) & ( Xb @ Xx ) ) ) ) ) ) =
% 19.35/3.18 ( ^[Xx:a]:
% 19.35/3.18 ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
% 19.35/3.18 ( ![Xa:( ( a > $o ) > $o )]:
% 19.35/3.18 ( ( A @ Xa ) => ( ( Xf @ Xa @ Xx ) & ( Xa @ ( Xf @ Xa ) ) ) ) ) ) ) ) ) ) )),
% 19.35/3.18 inference('cnf.neg', [status(esa)], [cTHM535B])).
% 19.35/3.18 thf(zip_derived_cl0, plain,
% 19.35/3.18 (~ (((((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
% 19.35/3.18 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 19.35/3.18 (((((??) @ (^[Y2 : a > $o]: (Y1 @ Y2)))) =>
% 19.35/3.18 (Y1 @ (Y0 @ Y1)))))))))) =>
% 19.35/3.18 (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
% 19.35/3.18 (((((((!!) @ (^[Y1 : (a > $o) > $o]:
% 19.35/3.18 (((Y0 @ Y1) =>
% 19.35/3.18 (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))) &
% 19.35/3.18 (((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))))) =>
% 19.35/3.18 ((((^[Y1 : a]:
% 19.35/3.18 (((!!) @ (^[Y2 : (a > $o) > $o]:
% 19.35/3.18 (((Y0 @ Y2) =>
% 19.35/3.18 (((??) @ (^[Y3 : a > $o]:
% 19.35/3.18 (((Y2 @ Y3) & (Y3 @
% 19.35/3.18 Y1))))))))))))) =
% 19.35/3.18 ((^[Y1 : a]:
% 19.35/3.18 (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
% 19.35/3.18 (((!!) @ (^[Y3 : (a > $o) > $o]:
% 19.35/3.18 (((Y0 @ Y3) =>
% 19.35/3.18 (((Y2 @ Y3 @ Y1) &
% 19.35/3.18 (Y3 @ (Y2 @ Y3)))))))))))))))))))))))),
% 19.35/3.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 19.35/3.18 thf(zip_derived_cl2, plain,
% 19.35/3.18 (~ (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
% 19.35/3.18 (((((((!!) @ (^[Y1 : (a > $o) > $o]:
% 19.35/3.18 (((Y0 @ Y1) =>
% 19.35/3.18 (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))) &
% 19.35/3.18 (((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))))) =>
% 19.35/3.18 ((((^[Y1 : a]:
% 19.35/3.18 (((!!) @ (^[Y2 : (a > $o) > $o]:
% 19.35/3.18 (((Y0 @ Y2) =>
% 19.35/3.18 (((??) @ (^[Y3 : a > $o]:
% 19.35/3.18 (((Y2 @ Y3) & (Y3 @ Y1))))))))))))) =
% 19.35/3.18 ((^[Y1 : a]:
% 19.35/3.18 (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
% 19.35/3.18 (((!!) @ (^[Y3 : (a > $o) > $o]:
% 19.35/3.18 (((Y0 @ Y3) =>
% 19.35/3.18 (((Y2 @ Y3 @ Y1) &
% 19.35/3.18 (Y3 @ (Y2 @ Y3)))))))))))))))))))))),
% 19.35/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
% 19.35/3.18 thf(zip_derived_cl4, plain,
% 19.35/3.18 (~ (((((((!!) @ (^[Y0 : (a > $o) > $o]:
% 19.35/3.18 ((('#sk2' @ Y0) =>
% 19.35/3.18 (((??) @ (^[Y1 : a > $o]: (Y0 @ Y1))))))))) &
% 19.35/3.18 (((??) @ (^[Y0 : (a > $o) > $o]: ('#sk2' @ Y0)))))) =>
% 19.35/3.18 ((((^[Y0 : a]:
% 19.35/3.18 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 19.35/3.18 ((('#sk2' @ Y1) =>
% 19.35/3.18 (((??) @ (^[Y2 : a > $o]:
% 19.35/3.18 (((Y1 @ Y2) & (Y2 @ Y0))))))))))))) =
% 19.35/3.18 ((^[Y0 : a]:
% 19.35/3.18 (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
% 19.35/3.18 (((!!) @ (^[Y2 : (a > $o) > $o]:
% 19.35/3.18 ((('#sk2' @ Y2) =>
% 19.35/3.18 (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2))))))))))))))))))),
% 19.35/3.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
% 19.35/3.18 thf(zip_derived_cl7, plain,
% 19.35/3.18 (~ ((((^[Y0 : a]:
% 19.35/3.18 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 19.35/3.18 ((('#sk2' @ Y1) =>
% 19.35/3.18 (((??) @ (^[Y2 : a > $o]:
% 19.35/3.18 (((Y1 @ Y2) & (Y2 @ Y0))))))))))))) =
% 19.35/3.18 ((^[Y0 : a]:
% 19.35/3.18 (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
% 19.35/3.18 (((!!) @ (^[Y2 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y2) =>
% 20.07/3.18 (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2))))))))))))))))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
% 20.07/3.18 thf(zip_derived_cl11, plain,
% 20.07/3.18 ((((^[Y0 : a]:
% 20.07/3.18 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y1) =>
% 20.07/3.18 (((??) @ (^[Y2 : a > $o]: (((Y1 @ Y2) & (Y2 @ Y0)))))))))))))
% 20.07/3.18 != ((^[Y0 : a]:
% 20.07/3.18 (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (((!!) @ (^[Y2 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y2) =>
% 20.07/3.18 (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2)))))))))))))))),
% 20.07/3.18 inference('simplify nested equalities', [status(thm)], [zip_derived_cl7])).
% 20.07/3.18 thf(zip_derived_cl22, plain,
% 20.07/3.18 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @
% 20.07/3.18 (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ (^[Y2 : a]: (Y1 @ Y2))) & (Y1 @
% 20.07/3.18 '#sk17')))))))))))
% 20.07/3.18 != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @
% 20.07/3.18 (^[Y2 : a > $o]:
% 20.07/3.18 (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
% 20.07/3.18 (((Y0 @
% 20.07/3.18 (^[Y2 : a > $o]:
% 20.07/3.18 (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @
% 20.07/3.18 '#sk17') & (Y1 @
% 20.07/3.18 (^[Y2 : a]:
% 20.07/3.18 (Y0 @
% 20.07/3.18 (^[Y3 : a > $o]:
% 20.07/3.18 (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @
% 20.07/3.18 Y2))))))))))))))),
% 20.07/3.18 inference('neg_ext', [status(thm)], [zip_derived_cl11])).
% 20.07/3.18 thf(zip_derived_cl23, plain,
% 20.07/3.18 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk17')))))))))))
% 20.07/3.18 != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y1) =>
% 20.07/3.18 (((Y0 @ Y1 @ '#sk17') & (Y1 @ (Y0 @ Y1)))))))))))))),
% 20.07/3.18 inference('ho_norm', [status(thm)], [zip_derived_cl22])).
% 20.07/3.18 thf(zip_derived_cl52, plain,
% 20.07/3.18 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk17')))))))))))
% 20.07/3.18 != ((^[Y0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @
% 20.07/3.18 (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
% 20.07/3.18 (((Y0 @
% 20.07/3.18 (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @
% 20.07/3.18 '#sk17') & (Y1 @
% 20.07/3.18 (^[Y2 : a]:
% 20.07/3.18 (Y0 @
% 20.07/3.18 (^[Y3 : a > $o]:
% 20.07/3.18 (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @
% 20.07/3.18 Y2))))))))))) @
% 20.07/3.18 '#sk38'))),
% 20.07/3.18 inference('quantifier_rw', [status(thm)], [zip_derived_cl23])).
% 20.07/3.18 thf(zip_derived_cl53, plain,
% 20.07/3.18 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk17')))))))))))
% 20.07/3.18 != (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('ho_norm', [status(thm)], [zip_derived_cl52])).
% 20.07/3.18 thf(zip_derived_cl54, plain,
% 20.07/3.18 (![X-83 : (a > $o) > $o]:
% 20.07/3.18 ( ((^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))) @
% 20.07/3.18 X-83)
% 20.07/3.18 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('forall_hoist', [status(thm)], [zip_derived_cl53])).
% 20.07/3.18 thf(zip_derived_cl68, plain,
% 20.07/3.18 (![X-83 : (a > $o) > $o]:
% 20.07/3.18 ( ((('#sk2' @ X-83) =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: (((X-83 @ Y0) & (Y0 @ '#sk17'))))))))
% 20.07/3.18 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('ho_norm', [status(thm)], [zip_derived_cl54])).
% 20.07/3.18 thf(zip_derived_cl69, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 ( ((('#sk2' @ X0) =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: (((X0 @ Y0) & (Y0 @ '#sk17'))))))))
% 20.07/3.18 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('cannonize vars', [status(thm)], [zip_derived_cl68])).
% 20.07/3.18 thf(zip_derived_cl70, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 (~ ('#sk2' @ X0)
% 20.07/3.18 | (((??) @ (^[Y0 : a > $o]: (((X0 @ Y0) & (Y0 @ '#sk17'))))))
% 20.07/3.18 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])).
% 20.07/3.18 thf(zip_derived_cl70, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 (~ ('#sk2' @ X0)
% 20.07/3.18 | (((??) @ (^[Y0 : a > $o]: (((X0 @ Y0) & (Y0 @ '#sk17'))))))
% 20.07/3.18 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])).
% 20.07/3.18 thf(zip_derived_cl85, plain,
% 20.07/3.18 ((~ ('#form69')
% 20.07/3.18 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 define([status(thm)])).
% 20.07/3.18 thf(zip_derived_cl89, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 ( ('#form69')
% 20.07/3.18 | (((??) @ (^[Y0 : a > $o]: (((X0 @ Y0) & (Y0 @ '#sk17'))))))
% 20.07/3.18 | ~ ('#sk2' @ X0))),
% 20.07/3.18 inference('renaming', [status(thm)], [zip_derived_cl70, zip_derived_cl85])).
% 20.07/3.18 thf(zip_derived_cl102, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 ( (((X0 @ ('#sk88' @ X0)) & ('#sk88' @ X0 @ '#sk17')))
% 20.07/3.18 | ~ ('#sk2' @ X0)
% 20.07/3.18 | ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl89])).
% 20.07/3.18 thf(zip_derived_cl113, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 ( ('#sk88' @ X0 @ '#sk17') | ('#form69') | ~ ('#sk2' @ X0))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl102])).
% 20.07/3.18 thf(zip_derived_cl85, plain,
% 20.07/3.18 ((~ ('#form69')
% 20.07/3.18 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 define([status(thm)])).
% 20.07/3.18 thf(zip_derived_cl86, plain,
% 20.07/3.18 (![X2 : (a > $o) > $o]:
% 20.07/3.18 ( ((('#sk2' @ X2) =>
% 20.07/3.18 ((('#sk38' @ X2 @ '#sk17') & (X2 @ ('#sk38' @ X2))))))
% 20.07/3.18 | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])).
% 20.07/3.18 thf(zip_derived_cl87, plain,
% 20.07/3.18 (( ((('#sk2' @ '#sk39') =>
% 20.07/3.18 ((('#sk38' @ '#sk39' @ '#sk17') & ('#sk39' @ ('#sk38' @ '#sk39'))))))
% 20.07/3.18 | ~ ('#form69'))),
% 20.07/3.18 inference('triggered_bool_instantiation', [status(thm)],
% 20.07/3.18 [zip_derived_cl86])).
% 20.07/3.18 thf(zip_derived_cl463, plain,
% 20.07/3.18 ((~ ('#sk2' @ '#sk39')
% 20.07/3.18 | ((('#sk38' @ '#sk39' @ '#sk17') & ('#sk39' @ ('#sk38' @ '#sk39'))))
% 20.07/3.18 | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl87])).
% 20.07/3.18 thf(zip_derived_cl464, plain,
% 20.07/3.18 (( ('#sk38' @ '#sk39' @ '#sk17') | ~ ('#form69') | ~ ('#sk2' @ '#sk39'))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl463])).
% 20.07/3.18 thf(zip_derived_cl23, plain,
% 20.07/3.18 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk17')))))))))))
% 20.07/3.18 != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y1) =>
% 20.07/3.18 (((Y0 @ Y1 @ '#sk17') & (Y1 @ (Y0 @ Y1)))))))))))))),
% 20.07/3.18 inference('ho_norm', [status(thm)], [zip_derived_cl22])).
% 20.07/3.18 thf(zip_derived_cl49, plain,
% 20.07/3.18 (![X-82 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (~ ((^[Y0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y1) =>
% 20.07/3.18 (((Y0 @ Y1 @ '#sk17') & (Y1 @ (Y0 @ Y1)))))))))) @
% 20.07/3.18 X-82)
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 inference('exists_hoist', [status(thm)], [zip_derived_cl23])).
% 20.07/3.18 thf(zip_derived_cl51, plain,
% 20.07/3.18 ((~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0)))))))))
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 inference('triggered_bool_instantiation', [status(thm)],
% 20.07/3.18 [zip_derived_cl49])).
% 20.07/3.18 thf(zip_derived_cl51, plain,
% 20.07/3.18 ((~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0)))))))))
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 inference('triggered_bool_instantiation', [status(thm)],
% 20.07/3.18 [zip_derived_cl49])).
% 20.07/3.18 thf(zip_derived_cl640, plain,
% 20.07/3.18 (( ('#form69')
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 define([status(thm)])).
% 20.07/3.18 thf(zip_derived_cl85, plain,
% 20.07/3.18 ((~ ('#form69')
% 20.07/3.18 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 define([status(thm)])).
% 20.07/3.18 thf(zip_derived_cl642, plain,
% 20.07/3.18 ((~ ('#form69')
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 inference('renaming', [status(thm)],
% 20.07/3.18 [zip_derived_cl51, zip_derived_cl640, zip_derived_cl85])).
% 20.07/3.18 thf(zip_derived_cl643, plain,
% 20.07/3.18 ((~ ((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17'))))))))
% 20.07/3.18 | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl642])).
% 20.07/3.18 thf(zip_derived_cl646, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl643])).
% 20.07/3.18 thf(zip_derived_cl54, plain,
% 20.07/3.18 (![X-83 : (a > $o) > $o]:
% 20.07/3.18 ( ((^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))) @
% 20.07/3.18 X-83)
% 20.07/3.18 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('forall_hoist', [status(thm)], [zip_derived_cl53])).
% 20.07/3.18 thf(zip_derived_cl56, plain,
% 20.07/3.18 (( ((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17'))))))))
% 20.07/3.18 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('triggered_bool_instantiation', [status(thm)],
% 20.07/3.18 [zip_derived_cl54])).
% 20.07/3.18 thf(zip_derived_cl53, plain,
% 20.07/3.18 (((((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]: (((Y0 @ Y1) & (Y1 @ '#sk17')))))))))))
% 20.07/3.18 != (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('ho_norm', [status(thm)], [zip_derived_cl52])).
% 20.07/3.18 thf(zip_derived_cl59, plain,
% 20.07/3.18 ((((^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ (^[Y2 : a]: (Y1 @ Y2))) & (Y1 @ '#sk17'))))))))) @
% 20.07/3.18 '#sk39')
% 20.07/3.18 != (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('quantifier_rw', [status(thm)], [zip_derived_cl53])).
% 20.07/3.18 thf(zip_derived_cl63, plain,
% 20.07/3.18 ((((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17'))))))))
% 20.07/3.18 != (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('ho_norm', [status(thm)], [zip_derived_cl59])).
% 20.07/3.18 thf(zip_derived_cl64, plain,
% 20.07/3.18 (![X-100 : (a > $o) > $o]:
% 20.07/3.18 ( ((^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))) @
% 20.07/3.18 X-100)
% 20.07/3.18 | ((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17')))))))))),
% 20.07/3.18 inference('forall_hoist', [status(thm)], [zip_derived_cl63])).
% 20.07/3.18 thf(zip_derived_cl82, plain,
% 20.07/3.18 (![X-100 : (a > $o) > $o]:
% 20.07/3.18 ( ((('#sk2' @ X-100) =>
% 20.07/3.18 ((('#sk38' @ X-100 @ '#sk17') & (X-100 @ ('#sk38' @ X-100))))))
% 20.07/3.18 | ((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17')))))))))),
% 20.07/3.18 inference('ho_norm', [status(thm)], [zip_derived_cl64])).
% 20.07/3.18 thf(zip_derived_cl83, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 ( ((('#sk2' @ X0) =>
% 20.07/3.18 ((('#sk38' @ X0 @ '#sk17') & (X0 @ ('#sk38' @ X0))))))
% 20.07/3.18 | ((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17')))))))))),
% 20.07/3.18 inference('cannonize vars', [status(thm)], [zip_derived_cl82])).
% 20.07/3.18 thf(zip_derived_cl84, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 (~ ('#sk2' @ X0)
% 20.07/3.18 | ((('#sk38' @ X0 @ '#sk17') & (X0 @ ('#sk38' @ X0))))
% 20.07/3.18 | ((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17')))))))))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])).
% 20.07/3.18 thf(zip_derived_cl99, plain,
% 20.07/3.18 ((~ ('#form85')
% 20.07/3.18 | ((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17')))))))))),
% 20.07/3.18 define([status(thm)])).
% 20.07/3.18 thf(zip_derived_cl703, plain,
% 20.07/3.18 (( ('#form85')
% 20.07/3.18 | (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
% 20.07/3.18 inference('renaming', [status(thm)], [zip_derived_cl56, zip_derived_cl99])).
% 20.07/3.18 thf(zip_derived_cl704, plain,
% 20.07/3.18 (![X2 : (a > $o) > $o]:
% 20.07/3.18 ( ((('#sk2' @ X2) =>
% 20.07/3.18 ((('#sk38' @ X2 @ '#sk17') & (X2 @ ('#sk38' @ X2))))))
% 20.07/3.18 | ('#form85'))),
% 20.07/3.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl703])).
% 20.07/3.18 thf(zip_derived_cl708, plain,
% 20.07/3.18 (![X2 : (a > $o) > $o]:
% 20.07/3.18 (~ ('#sk2' @ X2)
% 20.07/3.18 | ((('#sk38' @ X2 @ '#sk17') & (X2 @ ('#sk38' @ X2))))
% 20.07/3.18 | ('#form85'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl704])).
% 20.07/3.18 thf(zip_derived_cl710, plain,
% 20.07/3.18 (![X2 : (a > $o) > $o]:
% 20.07/3.18 ( (X2 @ ('#sk38' @ X2)) | ('#form85') | ~ ('#sk2' @ X2))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl708])).
% 20.07/3.18 thf(zip_derived_cl713, plain,
% 20.07/3.18 ((~ ('#form69') | ('#form85') | ('#sk39' @ ('#sk38' @ '#sk39')))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl646, zip_derived_cl710])).
% 20.07/3.18 thf(zip_derived_cl646, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl643])).
% 20.07/3.18 thf(zip_derived_cl99, plain,
% 20.07/3.18 ((~ ('#form85')
% 20.07/3.18 | ((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17')))))))))),
% 20.07/3.18 define([status(thm)])).
% 20.07/3.18 thf(zip_derived_cl100, plain,
% 20.07/3.18 ((~ ('#sk2' @ '#sk39')
% 20.07/3.18 | (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17'))))))
% 20.07/3.18 | ~ ('#form85'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl99])).
% 20.07/3.18 thf(zip_derived_cl111, plain,
% 20.07/3.18 (( ((('#sk39' @ '#sk60') & ('#sk60' @ '#sk17')))
% 20.07/3.18 | ~ ('#form85')
% 20.07/3.18 | ~ ('#sk2' @ '#sk39'))),
% 20.07/3.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl100])).
% 20.07/3.18 thf(zip_derived_cl122, plain,
% 20.07/3.18 (( ('#sk39' @ '#sk60') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
% 20.07/3.18 thf(zip_derived_cl658, plain,
% 20.07/3.18 ((~ ('#form69') | ~ ('#form85') | ('#sk39' @ '#sk60'))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl646, zip_derived_cl122])).
% 20.07/3.18 thf(zip_derived_cl647, plain,
% 20.07/3.18 ((~ (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17'))))))
% 20.07/3.18 | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl643])).
% 20.07/3.18 thf(zip_derived_cl649, plain,
% 20.07/3.18 (![X2 : a > $o]: (~ ((('#sk39' @ X2) & (X2 @ '#sk17'))) | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl647])).
% 20.07/3.18 thf(zip_derived_cl651, plain,
% 20.07/3.18 ((~ ((('#sk39' @ '#sk60') & ('#sk60' @ '#sk17'))) | ~ ('#form69'))),
% 20.07/3.18 inference('triggered_bool_instantiation', [status(thm)],
% 20.07/3.18 [zip_derived_cl649])).
% 20.07/3.18 thf(zip_derived_cl684, plain,
% 20.07/3.18 ((~ ('#sk39' @ '#sk60') | ~ ('#sk60' @ '#sk17') | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl651])).
% 20.07/3.18 thf(zip_derived_cl742, plain,
% 20.07/3.18 ((~ ('#form85') | ~ ('#form69') | ~ ('#form69') | ~ ('#sk60' @ '#sk17'))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl658, zip_derived_cl684])).
% 20.07/3.18 thf(zip_derived_cl757, plain,
% 20.07/3.18 ((~ ('#sk60' @ '#sk17') | ~ ('#form69') | ~ ('#form85'))),
% 20.07/3.18 inference('simplify', [status(thm)], [zip_derived_cl742])).
% 20.07/3.18 thf(zip_derived_cl646, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl643])).
% 20.07/3.18 thf(zip_derived_cl123, plain,
% 20.07/3.18 (( ('#sk60' @ '#sk17') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
% 20.07/3.18 thf(zip_derived_cl657, plain,
% 20.07/3.18 ((~ ('#form69') | ~ ('#form85') | ('#sk60' @ '#sk17'))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl646, zip_derived_cl123])).
% 20.07/3.18 thf(zip_derived_cl762, plain, ((~ ('#form85') | ~ ('#form69'))),
% 20.07/3.18 inference('clc', [status(thm)], [zip_derived_cl757, zip_derived_cl657])).
% 20.07/3.18 thf(zip_derived_cl845, plain,
% 20.07/3.18 (( ('#sk39' @ ('#sk38' @ '#sk39')) | ~ ('#form69'))),
% 20.07/3.18 inference('clc', [status(thm)], [zip_derived_cl713, zip_derived_cl762])).
% 20.07/3.18 thf(zip_derived_cl649, plain,
% 20.07/3.18 (![X2 : a > $o]: (~ ((('#sk39' @ X2) & (X2 @ '#sk17'))) | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl647])).
% 20.07/3.18 thf(zip_derived_cl655, plain,
% 20.07/3.18 (![X2 : a > $o]: (~ ('#sk39' @ X2) | ~ (X2 @ '#sk17') | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl649])).
% 20.07/3.18 thf(zip_derived_cl846, plain,
% 20.07/3.18 ((~ ('#form69') | ~ ('#form69') | ~ ('#sk38' @ '#sk39' @ '#sk17'))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl845, zip_derived_cl655])).
% 20.07/3.18 thf(zip_derived_cl849, plain,
% 20.07/3.18 ((~ ('#sk38' @ '#sk39' @ '#sk17') | ~ ('#form69'))),
% 20.07/3.18 inference('simplify', [status(thm)], [zip_derived_cl846])).
% 20.07/3.18 thf(zip_derived_cl854, plain,
% 20.07/3.18 ((~ ('#sk2' @ '#sk39') | ~ ('#form69') | ~ ('#form69'))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl464, zip_derived_cl849])).
% 20.07/3.18 thf(zip_derived_cl858, plain, ((~ ('#form69') | ~ ('#sk2' @ '#sk39'))),
% 20.07/3.18 inference('simplify', [status(thm)], [zip_derived_cl854])).
% 20.07/3.18 thf(zip_derived_cl646, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl643])).
% 20.07/3.18 thf(zip_derived_cl864, plain, (~ ('#form69')),
% 20.07/3.18 inference('clc', [status(thm)], [zip_derived_cl858, zip_derived_cl646])).
% 20.07/3.18 thf(zip_derived_cl865, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]: ( ('#sk88' @ X0 @ '#sk17') | ~ ('#sk2' @ X0))),
% 20.07/3.18 inference('demod', [status(thm)], [zip_derived_cl113, zip_derived_cl864])).
% 20.07/3.18 thf(zip_derived_cl49, plain,
% 20.07/3.18 (![X-82 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (~ ((^[Y0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (((!!) @ (^[Y1 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y1) =>
% 20.07/3.18 (((Y0 @ Y1 @ '#sk17') & (Y1 @ (Y0 @ Y1)))))))))) @
% 20.07/3.18 X-82)
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 inference('exists_hoist', [status(thm)], [zip_derived_cl23])).
% 20.07/3.18 thf(zip_derived_cl60, plain,
% 20.07/3.18 (![X-82 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((X-82 @ Y0 @ '#sk17') & (Y0 @ (X-82 @ Y0)))))))))
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 inference('ho_norm', [status(thm)], [zip_derived_cl49])).
% 20.07/3.18 thf(zip_derived_cl61, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((X0 @ Y0 @ '#sk17') & (Y0 @ (X0 @ Y0)))))))))
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 inference('cannonize vars', [status(thm)], [zip_derived_cl60])).
% 20.07/3.18 thf(zip_derived_cl62, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (~ ((('#sk2' @ ('#sk46' @ X0)) =>
% 20.07/3.18 (((X0 @ ('#sk46' @ X0) @ '#sk17') & ('#sk46' @ X0 @
% 20.07/3.18 (X0 @ ('#sk46' @ X0)))))))
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])).
% 20.07/3.18 thf(zip_derived_cl71, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 ( ('#sk2' @ ('#sk46' @ X0))
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])).
% 20.07/3.18 thf(zip_derived_cl71, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 ( ('#sk2' @ ('#sk46' @ X0))
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])).
% 20.07/3.18 thf(zip_derived_cl90, plain,
% 20.07/3.18 (( ('#form72')
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 define([status(thm)])).
% 20.07/3.18 thf(zip_derived_cl92, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (~ ('#form72') | ('#sk2' @ ('#sk46' @ X0)))),
% 20.07/3.18 inference('renaming', [status(thm)], [zip_derived_cl71, zip_derived_cl90])).
% 20.07/3.18 thf(zip_derived_cl90, plain,
% 20.07/3.18 (( ('#form72')
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 define([status(thm)])).
% 20.07/3.18 thf(zip_derived_cl91, plain,
% 20.07/3.18 ((~ ((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17'))))))))
% 20.07/3.18 | ('#form72'))),
% 20.07/3.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl90])).
% 20.07/3.18 thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') | ('#form72'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
% 20.07/3.18 thf(zip_derived_cl710, plain,
% 20.07/3.18 (![X2 : (a > $o) > $o]:
% 20.07/3.18 ( (X2 @ ('#sk38' @ X2)) | ('#form85') | ~ ('#sk2' @ X2))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl708])).
% 20.07/3.18 thf(zip_derived_cl714, plain,
% 20.07/3.18 (( ('#form72') | ('#form85') | ('#sk39' @ ('#sk38' @ '#sk39')))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl710])).
% 20.07/3.18 thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') | ('#form72'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
% 20.07/3.18 thf(zip_derived_cl122, plain,
% 20.07/3.18 (( ('#sk39' @ '#sk60') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
% 20.07/3.18 thf(zip_derived_cl129, plain,
% 20.07/3.18 (( ('#form72') | ~ ('#form85') | ('#sk39' @ '#sk60'))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl122])).
% 20.07/3.18 thf(zip_derived_cl105, plain,
% 20.07/3.18 ((~ (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17'))))))
% 20.07/3.18 | ('#form72'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
% 20.07/3.18 thf(zip_derived_cl116, plain,
% 20.07/3.18 (![X2 : a > $o]: (~ ((('#sk39' @ X2) & (X2 @ '#sk17'))) | ('#form72'))),
% 20.07/3.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])).
% 20.07/3.18 thf(zip_derived_cl117, plain,
% 20.07/3.18 ((~ ((('#sk39' @ '#sk60') & ('#sk60' @ '#sk17'))) | ('#form72'))),
% 20.07/3.18 inference('triggered_bool_instantiation', [status(thm)],
% 20.07/3.18 [zip_derived_cl116])).
% 20.07/3.18 thf(zip_derived_cl378, plain,
% 20.07/3.18 ((~ ('#sk39' @ '#sk60') | ~ ('#sk60' @ '#sk17') | ('#form72'))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl117])).
% 20.07/3.18 thf(zip_derived_cl379, plain,
% 20.07/3.18 ((~ ('#form85') | ('#form72') | ('#form72') | ~ ('#sk60' @ '#sk17'))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl378])).
% 20.07/3.18 thf(zip_derived_cl382, plain,
% 20.07/3.18 ((~ ('#sk60' @ '#sk17') | ('#form72') | ~ ('#form85'))),
% 20.07/3.18 inference('simplify', [status(thm)], [zip_derived_cl379])).
% 20.07/3.18 thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') | ('#form72'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
% 20.07/3.18 thf(zip_derived_cl123, plain,
% 20.07/3.18 (( ('#sk60' @ '#sk17') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
% 20.07/3.18 thf(zip_derived_cl186, plain,
% 20.07/3.18 (( ('#form72') | ~ ('#form85') | ('#sk60' @ '#sk17'))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl123])).
% 20.07/3.18 thf(zip_derived_cl385, plain, ((~ ('#form85') | ('#form72'))),
% 20.07/3.18 inference('clc', [status(thm)], [zip_derived_cl382, zip_derived_cl186])).
% 20.07/3.18 thf(zip_derived_cl840, plain,
% 20.07/3.18 (( ('#sk39' @ ('#sk38' @ '#sk39')) | ('#form72'))),
% 20.07/3.18 inference('clc', [status(thm)], [zip_derived_cl714, zip_derived_cl385])).
% 20.07/3.18 thf(zip_derived_cl116, plain,
% 20.07/3.18 (![X2 : a > $o]: (~ ((('#sk39' @ X2) & (X2 @ '#sk17'))) | ('#form72'))),
% 20.07/3.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])).
% 20.07/3.18 thf(zip_derived_cl124, plain,
% 20.07/3.18 (![X2 : a > $o]: (~ ('#sk39' @ X2) | ~ (X2 @ '#sk17') | ('#form72'))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl116])).
% 20.07/3.18 thf(zip_derived_cl843, plain,
% 20.07/3.18 (( ('#form72') | ('#form72') | ~ ('#sk38' @ '#sk39' @ '#sk17'))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl840, zip_derived_cl124])).
% 20.07/3.18 thf(zip_derived_cl844, plain,
% 20.07/3.18 ((~ ('#sk38' @ '#sk39' @ '#sk17') | ('#form72'))),
% 20.07/3.18 inference('simplify', [status(thm)], [zip_derived_cl843])).
% 20.07/3.18 thf(zip_derived_cl84, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 (~ ('#sk2' @ X0)
% 20.07/3.18 | ((('#sk38' @ X0 @ '#sk17') & (X0 @ ('#sk38' @ X0))))
% 20.07/3.18 | ((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17')))))))))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])).
% 20.07/3.18 thf(zip_derived_cl99, plain,
% 20.07/3.18 ((~ ('#form85')
% 20.07/3.18 | ((('#sk2' @ '#sk39') =>
% 20.07/3.18 (((??) @ (^[Y0 : a > $o]: ((('#sk39' @ Y0) & (Y0 @ '#sk17')))))))))),
% 20.07/3.18 define([status(thm)])).
% 20.07/3.18 thf(zip_derived_cl101, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 ( ('#form85')
% 20.07/3.18 | ((('#sk38' @ X0 @ '#sk17') & (X0 @ ('#sk38' @ X0))))
% 20.07/3.18 | ~ ('#sk2' @ X0))),
% 20.07/3.18 inference('renaming', [status(thm)], [zip_derived_cl84, zip_derived_cl99])).
% 20.07/3.18 thf(zip_derived_cl109, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 ( ('#sk38' @ X0 @ '#sk17') | ~ ('#sk2' @ X0) | ('#form85'))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl101])).
% 20.07/3.18 thf(zip_derived_cl917, plain,
% 20.07/3.18 (( ('#form72') | ('#form85') | ~ ('#sk2' @ '#sk39'))),
% 20.07/3.18 inference('sup+', [status(thm)], [zip_derived_cl844, zip_derived_cl109])).
% 20.07/3.18 thf(zip_derived_cl385, plain, ((~ ('#form85') | ('#form72'))),
% 20.07/3.18 inference('clc', [status(thm)], [zip_derived_cl382, zip_derived_cl186])).
% 20.07/3.18 thf(zip_derived_cl943, plain, ((~ ('#sk2' @ '#sk39') | ('#form72'))),
% 20.07/3.18 inference('clc', [status(thm)], [zip_derived_cl917, zip_derived_cl385])).
% 20.07/3.18 thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') | ('#form72'))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
% 20.07/3.18 thf(zip_derived_cl944, plain, ( ('#form72')),
% 20.07/3.18 inference('clc', [status(thm)], [zip_derived_cl943, zip_derived_cl104])).
% 20.07/3.18 thf(zip_derived_cl945, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]: ('#sk2' @ ('#sk46' @ X0))),
% 20.07/3.18 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl944])).
% 20.07/3.18 thf(zip_derived_cl112, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]:
% 20.07/3.18 ( (X0 @ ('#sk88' @ X0)) | ('#form69') | ~ ('#sk2' @ X0))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl102])).
% 20.07/3.18 thf(zip_derived_cl864, plain, (~ ('#form69')),
% 20.07/3.18 inference('clc', [status(thm)], [zip_derived_cl858, zip_derived_cl646])).
% 20.07/3.18 thf(zip_derived_cl1223, plain,
% 20.07/3.18 (![X0 : (a > $o) > $o]: ( (X0 @ ('#sk88' @ X0)) | ~ ('#sk2' @ X0))),
% 20.07/3.18 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl864])).
% 20.07/3.18 thf(zip_derived_cl1224, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 ('#sk46' @ X0 @ ('#sk88' @ ('#sk46' @ X0)))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl945, zip_derived_cl1223])).
% 20.07/3.18 thf(zip_derived_cl72, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (~ (((X0 @ ('#sk46' @ X0) @ '#sk17') & ('#sk46' @ X0 @
% 20.07/3.18 (X0 @ ('#sk46' @ X0)))))
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])).
% 20.07/3.18 thf(zip_derived_cl90, plain,
% 20.07/3.18 (( ('#form72')
% 20.07/3.18 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 20.07/3.18 ((('#sk2' @ Y0) =>
% 20.07/3.18 (((??) @ (^[Y1 : a > $o]:
% 20.07/3.18 (((Y0 @ Y1) & (Y1 @ '#sk17'))))))))))))),
% 20.07/3.18 define([status(thm)])).
% 20.07/3.18 thf(zip_derived_cl93, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (~ ('#form72')
% 20.07/3.18 | ~ (((X0 @ ('#sk46' @ X0) @ '#sk17') & ('#sk46' @ X0 @
% 20.07/3.18 (X0 @ ('#sk46' @ X0))))))),
% 20.07/3.18 inference('renaming', [status(thm)], [zip_derived_cl72, zip_derived_cl90])).
% 20.07/3.18 thf(zip_derived_cl106, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (~ (X0 @ ('#sk46' @ X0) @ '#sk17')
% 20.07/3.18 | ~ ('#sk46' @ X0 @ (X0 @ ('#sk46' @ X0)))
% 20.07/3.18 | ~ ('#form72'))),
% 20.07/3.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl93])).
% 20.07/3.18 thf(zip_derived_cl944, plain, ( ('#form72')),
% 20.07/3.18 inference('clc', [status(thm)], [zip_derived_cl943, zip_derived_cl104])).
% 20.07/3.18 thf(zip_derived_cl1083, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]:
% 20.07/3.18 (~ (X0 @ ('#sk46' @ X0) @ '#sk17')
% 20.07/3.18 | ~ ('#sk46' @ X0 @ (X0 @ ('#sk46' @ X0))))),
% 20.07/3.18 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl944])).
% 20.07/3.18 thf(zip_derived_cl1254, plain, (~ ('#sk88' @ ('#sk46' @ '#sk88') @ '#sk17')),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl1224, zip_derived_cl1083])).
% 20.07/3.18 thf(zip_derived_cl1256, plain, (~ ('#sk2' @ ('#sk46' @ '#sk88'))),
% 20.07/3.18 inference('sup-', [status(thm)], [zip_derived_cl865, zip_derived_cl1254])).
% 20.07/3.18 thf(zip_derived_cl945, plain,
% 20.07/3.18 (![X0 : ((a > $o) > $o) > a > $o]: ('#sk2' @ ('#sk46' @ X0))),
% 20.07/3.18 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl944])).
% 20.07/3.18 thf(zip_derived_cl1257, plain, ($false),
% 20.07/3.18 inference('demod', [status(thm)], [zip_derived_cl1256, zip_derived_cl945])).
% 20.07/3.18
% 20.07/3.18 % SZS output end Refutation
% 20.07/3.18
% 20.07/3.18
% 20.07/3.18 % Terminating...
% 20.34/3.34 % Runner terminated.
% 20.34/3.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------