TSTP Solution File: SEV018^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV018^5 : 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.7hLnVz04MP true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 19:59:18 EDT 2023
% Result : Theorem 15.95s 2.84s
% Output : Refutation 15.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEV018^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7hLnVz04MP true
% 0.13/0.36 % Computer : n013.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 24 02:37:32 EDT 2023
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % Running portfolio for 300 s
% 0.13/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.37 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.83/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 15.95/2.84 % Solved by lams/35_full_unif4.sh.
% 15.95/2.84 % done 179 iterations in 2.036s
% 15.95/2.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.95/2.84 % SZS output start Refutation
% 15.95/2.84 thf(a_type, type, a: $tType).
% 15.95/2.84 thf('#sk1_type', type, '#sk1': (a > $o) > $o).
% 15.95/2.84 thf('#sk11_type', type, '#sk11': (a > $o) > a).
% 15.95/2.84 thf('#sk173_type', type, '#sk173': (a > a > $o) > a).
% 15.95/2.84 thf('#sk6_type', type, '#sk6': a > a > $o).
% 15.95/2.84 thf('#sk24_type', type, '#sk24': (a > a > $o) > a > $o).
% 15.95/2.84 thf('#sk200_type', type, '#sk200': (a > a > $o) > a).
% 15.95/2.84 thf(cTHM262A_pme, conjecture,
% 15.95/2.84 (![P:( ( a > $o ) > $o )]:
% 15.95/2.84 ( ( ( ![Xx:a]:
% 15.95/2.84 ( ?[Xp:( a > $o )]:
% 15.95/2.84 ( ( P @ Xp ) & ( Xp @ Xx ) &
% 15.95/2.84 ( ![Xq:( a > $o )]:
% 15.95/2.84 ( ( ( Xq @ Xx ) & ( P @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) ) ) ) &
% 15.95/2.84 ( ![Xp:( a > $o )]: ( ( P @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) ) =>
% 15.95/2.84 ( ?[Q:( a > a > $o )]:
% 15.95/2.84 ( ( ^[Xs:( a > $o )]:
% 15.95/2.84 ( ( ![Xx:a]:
% 15.95/2.84 ( ( Xs @ Xx ) =>
% 15.95/2.84 ( ![Xy:a]: ( ( Xs @ Xy ) <=> ( Q @ Xx @ Xy ) ) ) ) ) &
% 15.95/2.84 ( ?[Xz:a]: ( Xs @ Xz ) ) ) ) =
% 15.95/2.84 ( P ) ) ) ))).
% 15.95/2.84 thf(zf_stmt_0, negated_conjecture,
% 15.95/2.84 (~( ![P:( ( a > $o ) > $o )]:
% 15.95/2.84 ( ( ( ![Xx:a]:
% 15.95/2.84 ( ?[Xp:( a > $o )]:
% 15.95/2.84 ( ( P @ Xp ) & ( Xp @ Xx ) &
% 15.95/2.84 ( ![Xq:( a > $o )]:
% 15.95/2.84 ( ( ( Xq @ Xx ) & ( P @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) ) ) ) &
% 15.95/2.84 ( ![Xp:( a > $o )]: ( ( P @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) ) =>
% 15.95/2.84 ( ?[Q:( a > a > $o )]:
% 15.95/2.84 ( ( ^[Xs:( a > $o )]:
% 15.95/2.84 ( ( ![Xx:a]:
% 15.95/2.84 ( ( Xs @ Xx ) =>
% 15.95/2.84 ( ![Xy:a]: ( ( Xs @ Xy ) <=> ( Q @ Xx @ Xy ) ) ) ) ) &
% 15.95/2.84 ( ?[Xz:a]: ( Xs @ Xz ) ) ) ) =
% 15.95/2.84 ( P ) ) ) ) )),
% 15.95/2.84 inference('cnf.neg', [status(esa)], [cTHM262A_pme])).
% 15.95/2.84 thf(zip_derived_cl0, plain,
% 15.95/2.84 (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 15.95/2.84 (((((((!!) @ (^[Y1 : a]:
% 15.95/2.84 (((??) @ (^[Y2 : a > $o]:
% 15.95/2.84 (((Y0 @ Y2) & (Y2 @ Y1) &
% 15.95/2.84 (((!!) @ (^[Y3 : a > $o]:
% 15.95/2.84 (((((Y3 @ Y1) &
% 15.95/2.84 (Y0 @ Y3))) =>
% 15.95/2.84 (((Y3) = (Y2)))))))))))))))) &
% 15.95/2.84 (((!!) @ (^[Y1 : a > $o]:
% 15.95/2.84 (((Y0 @ Y1) =>
% 15.95/2.84 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))))) =>
% 15.95/2.84 (((??) @ (^[Y1 : a > a > $o]:
% 15.95/2.84 ((((^[Y2 : a > $o]:
% 15.95/2.84 (((((!!) @ (^[Y3 : a]:
% 15.95/2.84 (((Y2 @ Y3) =>
% 15.95/2.84 (((!!) @ (^[Y4 : a]:
% 15.95/2.84 ((
% 15.95/2.84 (Y2 @
% 15.95/2.84 Y4) <=>
% 15.95/2.84 (Y1 @
% 15.95/2.84 Y3 @ Y4))))))))))) &
% 15.95/2.84 (((??) @ (^[Y3 : a]: (Y2 @ Y3)))))))) =
% 15.95/2.84 (Y0)))))))))))),
% 15.95/2.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 15.95/2.84 thf(zip_derived_cl1, plain,
% 15.95/2.84 (~ (((((((!!) @ (^[Y0 : a]:
% 15.95/2.84 (((??) @ (^[Y1 : a > $o]:
% 15.95/2.84 ((('#sk1' @ Y1) & (Y1 @ Y0) &
% 15.95/2.84 (((!!) @ (^[Y2 : a > $o]:
% 15.95/2.84 (((((Y2 @ Y0) & ('#sk1' @
% 15.95/2.84 Y2))) =>
% 15.95/2.84 (((Y2) = (Y1)))))))))))))))) &
% 15.95/2.84 (((!!) @ (^[Y0 : a > $o]:
% 15.95/2.84 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))) =>
% 15.95/2.84 (((??) @ (^[Y0 : a > a > $o]:
% 15.95/2.84 ((((^[Y1 : a > $o]:
% 15.95/2.84 (((((!!) @ (^[Y2 : a]:
% 15.95/2.84 (((Y1 @ Y2) =>
% 15.95/2.84 (((!!) @ (^[Y3 : a]:
% 15.95/2.84 (((Y1 @ Y3) <=> (Y0 @
% 15.95/2.84 Y2 @ Y3))))))))))) &
% 15.95/2.84 (((??) @ (^[Y2 : a]: (Y1 @ Y2)))))))) =
% 15.95/2.84 ('#sk1'))))))))),
% 15.95/2.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 15.95/2.84 thf(zip_derived_cl2, plain,
% 15.95/2.84 ( (((((!!) @ (^[Y0 : a]:
% 15.95/2.84 (((??) @ (^[Y1 : a > $o]:
% 15.95/2.84 ((('#sk1' @ Y1) & (Y1 @ Y0) &
% 15.95/2.84 (((!!) @ (^[Y2 : a > $o]:
% 15.95/2.84 (((((Y2 @ Y0) & ('#sk1' @ Y2))) =>
% 15.95/2.84 (((Y2) = (Y1)))))))))))))))) &
% 15.95/2.84 (((!!) @ (^[Y0 : a > $o]:
% 15.95/2.84 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))))),
% 15.95/2.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 15.95/2.84 thf(zip_derived_cl4, plain,
% 15.95/2.84 ( (((!!) @ (^[Y0 : a]:
% 15.95/2.84 (((??) @ (^[Y1 : a > $o]:
% 15.95/2.84 ((('#sk1' @ Y1) & (Y1 @ Y0) &
% 15.95/2.84 (((!!) @ (^[Y2 : a > $o]:
% 15.95/2.84 (((((Y2 @ Y0) & ('#sk1' @ Y2))) =>
% 15.95/2.84 (((Y2) = (Y1))))))))))))))))),
% 15.95/2.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])).
% 15.95/2.84 thf(zip_derived_cl7, plain,
% 15.95/2.84 (![X2 : a]:
% 15.95/2.84 (((??) @ (^[Y0 : a > $o]:
% 15.95/2.84 ((('#sk1' @ Y0) & (Y0 @ X2) &
% 15.95/2.84 (((!!) @ (^[Y1 : a > $o]:
% 15.95/2.84 (((((Y1 @ X2) & ('#sk1' @ Y1))) =>
% 15.95/2.84 (((Y1) = (Y0)))))))))))))),
% 15.95/2.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])).
% 15.95/2.84 thf(zip_derived_cl11, plain,
% 15.95/2.84 (![X2 : a]:
% 15.95/2.84 ((('#sk1' @ ('#sk6' @ X2)) & ('#sk6' @ X2 @ X2) &
% 15.95/2.84 (((!!) @ (^[Y0 : a > $o]:
% 15.95/2.84 (((((Y0 @ X2) & ('#sk1' @ Y0))) =>
% 15.95/2.84 (((Y0) = ('#sk6' @ X2))))))))))),
% 15.95/2.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])).
% 15.95/2.84 thf(zip_derived_cl15, plain,
% 15.95/2.84 (![X2 : a]:
% 15.95/2.84 (((!!) @ (^[Y0 : a > $o]:
% 15.95/2.84 (((((Y0 @ X2) & ('#sk1' @ Y0))) =>
% 15.95/2.84 (((Y0) = ('#sk6' @ X2))))))))),
% 15.95/2.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 15.95/2.84 thf(zip_derived_cl17, plain,
% 15.95/2.84 (![X2 : a, X4 : a > $o]:
% 15.95/2.84 (((((X4 @ X2) & ('#sk1' @ X4))) => (((X4) = ('#sk6' @ X2)))))),
% 15.95/2.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])).
% 15.95/2.84 thf(zip_derived_cl18, plain,
% 15.95/2.84 (![X0 : a, X1 : a]:
% 15.95/2.84 ((((('#sk6' @ X1 @ X0) & ('#sk1' @ ('#sk6' @ X1)))) =>
% 15.95/2.84 ((('#sk6' @ X1) = ('#sk6' @ X0)))))),
% 15.95/2.84 inference('triggered_bool_instantiation', [status(thm)],
% 15.95/2.84 [zip_derived_cl17])).
% 15.95/2.84 thf(zip_derived_cl13, plain, (![X2 : a]: ('#sk1' @ ('#sk6' @ X2))),
% 15.95/2.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 15.95/2.84 thf(zip_derived_cl40, plain,
% 15.95/2.84 (![X0 : a, X1 : a]:
% 15.95/2.84 ((((('#sk6' @ X1 @ X0) & ($true))) =>
% 15.95/2.84 ((('#sk6' @ X1) = ('#sk6' @ X0)))))),
% 15.95/2.84 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl13])).
% 15.95/2.84 thf(zip_derived_cl41, plain,
% 15.95/2.84 (![X0 : a, X1 : a]:
% 15.95/2.84 ((('#sk6' @ X1 @ X0) => ((('#sk6' @ X1) = ('#sk6' @ X0)))))),
% 15.95/2.84 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl40])).
% 15.95/2.84 thf(zip_derived_cl42, plain,
% 15.95/2.84 (![X0 : a, X1 : a]:
% 15.95/2.84 (~ ('#sk6' @ X1 @ X0) | ((('#sk6' @ X1) = ('#sk6' @ X0))))),
% 15.95/2.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])).
% 15.95/2.84 thf(zip_derived_cl43, plain,
% 15.95/2.84 (![X0 : a, X1 : a]:
% 15.95/2.84 (~ ('#sk6' @ X1 @ X0) | (('#sk6' @ X1) = ('#sk6' @ X0)))),
% 15.95/2.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])).
% 15.95/2.84 thf(zip_derived_cl3, plain,
% 15.95/2.84 (~ (((??) @ (^[Y0 : a > a > $o]:
% 15.95/2.84 ((((^[Y1 : a > $o]:
% 15.95/2.84 (((((!!) @ (^[Y2 : a]:
% 15.95/2.84 (((Y1 @ Y2) =>
% 15.95/2.84 (((!!) @ (^[Y3 : a]:
% 15.95/2.84 (((Y1 @ Y3) <=> (Y0 @
% 15.95/2.84 Y2 @ Y3))))))))))) &
% 15.95/2.84 (((??) @ (^[Y2 : a]: (Y1 @ Y2)))))))) =
% 15.95/2.84 ('#sk1'))))))),
% 15.95/2.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 15.95/2.84 thf(zip_derived_cl6, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 ~ ((((^[Y0 : a > $o]:
% 15.95/2.84 (((((!!) @ (^[Y1 : a]:
% 15.95/2.84 (((Y0 @ Y1) =>
% 15.95/2.84 (((!!) @ (^[Y2 : a]:
% 15.95/2.84 (((Y0 @ Y2) <=> (X2 @ Y1 @ Y2))))))))))) &
% 15.95/2.84 (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))) =
% 15.95/2.84 ('#sk1')))),
% 15.95/2.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])).
% 15.95/2.84 thf(zip_derived_cl9, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 (((^[Y0 : a > $o]:
% 15.95/2.84 (((((!!) @ (^[Y1 : a]:
% 15.95/2.84 (((Y0 @ Y1) =>
% 15.95/2.84 (((!!) @ (^[Y2 : a]:
% 15.95/2.84 (((Y0 @ Y2) <=> (X2 @ Y1 @ Y2))))))))))) &
% 15.95/2.84 (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))
% 15.95/2.84 != ('#sk1'))),
% 15.95/2.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])).
% 15.95/2.84 thf(zip_derived_cl24, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 ((((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1))))))))))) &
% 15.95/2.84 (((??) @ (^[Y0 : a]: ('#sk24' @ X2 @ Y0))))))
% 15.95/2.84 != ('#sk1' @ (^[Y0 : a]: ('#sk24' @ X2 @ Y0))))),
% 15.95/2.84 inference('neg_ext', [status(thm)], [zip_derived_cl9])).
% 15.95/2.84 thf(zip_derived_cl25, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 ((((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1))))))))))) &
% 15.95/2.84 (((??) @ (^[Y0 : a]: ('#sk24' @ X2 @ Y0))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('ho_norm', [status(thm)], [zip_derived_cl24])).
% 15.95/2.84 thf(zip_derived_cl94, plain,
% 15.95/2.84 (![X-128 : a, X2 : a > a > $o]:
% 15.95/2.84 (~ ((^[Y0 : a]: ('#sk24' @ X2 @ Y0)) @ X-128)
% 15.95/2.84 | ((((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @
% 15.95/2.84 Y1))))))))))) &
% 15.95/2.84 ($true)))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('exists_hoist', [status(thm)], [zip_derived_cl25])).
% 15.95/2.84 thf(zip_derived_cl97, plain,
% 15.95/2.84 (![X-128 : a, X2 : a > a > $o]:
% 15.95/2.84 (~ ('#sk24' @ X2 @ X-128)
% 15.95/2.84 | ((((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @
% 15.95/2.84 Y1))))))))))) &
% 15.95/2.84 ($true)))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('ho_norm', [status(thm)], [zip_derived_cl94])).
% 15.95/2.84 thf(zip_derived_cl98, plain,
% 15.95/2.84 (![X-128 : a, X2 : a > a > $o]:
% 15.95/2.84 (~ ('#sk24' @ X2 @ X-128)
% 15.95/2.84 | ((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1)))))))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl97])).
% 15.95/2.84 thf(zip_derived_cl99, plain,
% 15.95/2.84 (![X2 : a > a > $o, X3 : a]:
% 15.95/2.84 (~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | ((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1)))))))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('cannonize vars', [status(thm)], [zip_derived_cl98])).
% 15.95/2.84 thf(zip_derived_cl102, plain,
% 15.95/2.84 (![X-132 : a, X2 : a > a > $o, X3 : a]:
% 15.95/2.84 ( ((^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1))))))))) @
% 15.95/2.84 X-132)
% 15.95/2.84 | ~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('forall_hoist', [status(thm)], [zip_derived_cl99])).
% 15.95/2.84 thf(zip_derived_cl107, plain,
% 15.95/2.84 (![X-132 : a, X2 : a > a > $o, X3 : a]:
% 15.95/2.84 ( ((('#sk24' @ X2 @ X-132) =>
% 15.95/2.84 (((!!) @ (^[Y0 : a]: ((('#sk24' @ X2 @ Y0) <=> (X2 @ X-132 @ Y0))))))))
% 15.95/2.84 | ~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('ho_norm', [status(thm)], [zip_derived_cl102])).
% 15.95/2.84 thf(zip_derived_cl108, plain,
% 15.95/2.84 (![X2 : a > a > $o, X3 : a, X4 : a]:
% 15.95/2.84 ( ((('#sk24' @ X2 @ X4) =>
% 15.95/2.84 (((!!) @ (^[Y0 : a]: ((('#sk24' @ X2 @ Y0) <=> (X2 @ X4 @ Y0))))))))
% 15.95/2.84 | ~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('cannonize vars', [status(thm)], [zip_derived_cl107])).
% 15.95/2.84 thf(zip_derived_cl109, plain,
% 15.95/2.84 (![X2 : a > a > $o, X3 : a, X4 : a]:
% 15.95/2.84 (~ ('#sk24' @ X2 @ X4)
% 15.95/2.84 | (((!!) @ (^[Y0 : a]: ((('#sk24' @ X2 @ Y0) <=> (X2 @ X4 @ Y0))))))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ X2))
% 15.95/2.84 | ~ ('#sk24' @ X2 @ X3))),
% 15.95/2.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl108])).
% 15.95/2.84 thf(zip_derived_cl121, plain,
% 15.95/2.84 (![X0 : a, X1 : a > a > $o]:
% 15.95/2.84 (~ ('#sk24' @ X1 @ X0)
% 15.95/2.84 | (((!!) @ (^[Y0 : a]: ((('#sk24' @ X1 @ Y0) <=> (X1 @ X0 @ Y0))))))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ X1)))),
% 15.95/2.84 inference('condensation', [status(thm)], [zip_derived_cl109])).
% 15.95/2.84 thf(zip_derived_cl122, plain,
% 15.95/2.84 (![X0 : a, X1 : a > a > $o, X3 : a]:
% 15.95/2.84 ( ((('#sk24' @ X1 @ X3) <=> (X1 @ X0 @ X3)))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ X1))
% 15.95/2.84 | ~ ('#sk24' @ X1 @ X0))),
% 15.95/2.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl121])).
% 15.95/2.84 thf(zip_derived_cl130, plain,
% 15.95/2.84 (![X0 : a, X1 : a > a > $o, X3 : a]:
% 15.95/2.84 ((('#sk24' @ X1 @ X3) = (X1 @ X0 @ X3))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ X1))
% 15.95/2.84 | ~ ('#sk24' @ X1 @ X0))),
% 15.95/2.84 inference('simplify nested equalities', [status(thm)],
% 15.95/2.84 [zip_derived_cl122])).
% 15.95/2.84 thf(zip_derived_cl25, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 ((((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1))))))))))) &
% 15.95/2.84 (((??) @ (^[Y0 : a]: ('#sk24' @ X2 @ Y0))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('ho_norm', [status(thm)], [zip_derived_cl24])).
% 15.95/2.84 thf(zip_derived_cl95, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 ((((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1))))))))))) &
% 15.95/2.84 ((^[Y0 : a]: ('#sk24' @ (^[Y1 : a,Y2 : a]: (X2 @ Y1 @ Y2)) @ Y0)) @
% 15.95/2.84 ('#sk11' @ ('#sk24' @ X2)))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('quantifier_rw', [status(thm)], [zip_derived_cl25])).
% 15.95/2.84 thf(zip_derived_cl96, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 ((((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1))))))))))) &
% 15.95/2.84 ('#sk24' @ X2 @ ('#sk11' @ ('#sk24' @ X2)))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('ho_norm', [status(thm)], [zip_derived_cl95])).
% 15.95/2.84 thf(zip_derived_cl135, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 ( ('#sk24' @ X2 @ ('#sk11' @ ('#sk24' @ X2)))
% 15.95/2.84 | ((((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @
% 15.95/2.84 Y1))))))))))) &
% 15.95/2.84 ($false)))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('bool_hoist', [status(thm)], [zip_derived_cl96])).
% 15.95/2.84 thf(zip_derived_cl136, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 ( ('#sk24' @ X2 @ ('#sk11' @ ('#sk24' @ X2)))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl135])).
% 15.95/2.84 thf(zip_derived_cl5, plain,
% 15.95/2.84 ( (((!!) @ (^[Y0 : a > $o]:
% 15.95/2.84 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))),
% 15.95/2.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])).
% 15.95/2.84 thf(zip_derived_cl8, plain,
% 15.95/2.84 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))),
% 15.95/2.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
% 15.95/2.84 thf(zip_derived_cl12, plain,
% 15.95/2.84 (![X2 : a > $o]: (~ ('#sk1' @ X2) | (((??) @ (^[Y0 : a]: (X2 @ Y0)))))),
% 15.95/2.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])).
% 15.95/2.84 thf(zip_derived_cl16, plain,
% 15.95/2.84 (![X2 : a > $o]: ( (X2 @ ('#sk11' @ X2)) | ~ ('#sk1' @ X2))),
% 15.95/2.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])).
% 15.95/2.84 thf(zip_derived_cl156, plain,
% 15.95/2.84 (![X2 : a > a > $o]: ('#sk24' @ X2 @ ('#sk11' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('clc', [status(thm)], [zip_derived_cl136, zip_derived_cl16])).
% 15.95/2.84 thf(zip_derived_cl721, plain,
% 15.95/2.84 (![X0 : a > a > $o, X1 : a]:
% 15.95/2.84 ( ('#sk1' @ ('#sk24' @ X0))
% 15.95/2.84 | (('#sk24' @ X0 @ X1) = (X0 @ ('#sk11' @ ('#sk24' @ X0)) @ X1)))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl156])).
% 15.95/2.84 thf(zip_derived_cl891, plain,
% 15.95/2.84 (![X0 : a]:
% 15.95/2.84 (~ ('#sk24' @ '#sk6' @ X0)
% 15.95/2.84 | (('#sk6' @ ('#sk11' @ ('#sk24' @ '#sk6'))) = ('#sk6' @ X0))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6')))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl721])).
% 15.95/2.84 thf(zip_derived_cl43, plain,
% 15.95/2.84 (![X0 : a, X1 : a]:
% 15.95/2.84 (~ ('#sk6' @ X1 @ X0) | (('#sk6' @ X1) = ('#sk6' @ X0)))),
% 15.95/2.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])).
% 15.95/2.84 thf(zip_derived_cl8, plain,
% 15.95/2.84 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))),
% 15.95/2.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
% 15.95/2.84 thf(zip_derived_cl10, plain,
% 15.95/2.84 (![X0 : a]:
% 15.95/2.84 ((('#sk1' @ ('#sk6' @ X0)) =>
% 15.95/2.84 (((??) @ (^[Y0 : a]: ('#sk6' @ X0 @ Y0))))))),
% 15.95/2.84 inference('triggered_bool_instantiation', [status(thm)],
% 15.95/2.84 [zip_derived_cl8])).
% 15.95/2.84 thf(zip_derived_cl13, plain, (![X2 : a]: ('#sk1' @ ('#sk6' @ X2))),
% 15.95/2.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 15.95/2.84 thf(zip_derived_cl26, plain,
% 15.95/2.84 (![X0 : a]: ((($true) => (((??) @ (^[Y0 : a]: ('#sk6' @ X0 @ Y0))))))),
% 15.95/2.84 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl13])).
% 15.95/2.84 thf(zip_derived_cl27, plain,
% 15.95/2.84 (![X0 : a]: (((??) @ (^[Y0 : a]: ('#sk6' @ X0 @ Y0))))),
% 15.95/2.84 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl26])).
% 15.95/2.84 thf(zip_derived_cl28, plain,
% 15.95/2.84 (![X0 : a]: ('#sk6' @ X0 @ ('#sk11' @ ('#sk6' @ X0)))),
% 15.95/2.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])).
% 15.95/2.84 thf(zip_derived_cl44, plain,
% 15.95/2.84 (![X0 : a]: (('#sk6' @ X0) = ('#sk6' @ ('#sk11' @ ('#sk6' @ X0))))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl28])).
% 15.95/2.84 thf(zip_derived_cl1002, plain,
% 15.95/2.84 (![X0 : a]:
% 15.95/2.84 ((('#sk6' @ ('#sk11' @ ('#sk24' @ '#sk6')))
% 15.95/2.84 = ('#sk6' @ ('#sk11' @ ('#sk6' @ X0))))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6'))
% 15.95/2.84 | ~ ('#sk24' @ '#sk6' @ X0))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl891, zip_derived_cl44])).
% 15.95/2.84 thf(zip_derived_cl17, plain,
% 15.95/2.84 (![X2 : a, X4 : a > $o]:
% 15.95/2.84 (((((X4 @ X2) & ('#sk1' @ X4))) => (((X4) = ('#sk6' @ X2)))))),
% 15.95/2.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])).
% 15.95/2.84 thf(zip_derived_cl19, plain,
% 15.95/2.84 (![X2 : a, X4 : a > $o]:
% 15.95/2.84 (~ (((X4 @ X2) & ('#sk1' @ X4))) | (((X4) = ('#sk6' @ X2))))),
% 15.95/2.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])).
% 15.95/2.84 thf(zip_derived_cl20, plain,
% 15.95/2.84 (![X2 : a, X4 : a > $o]:
% 15.95/2.84 (~ (((X4 @ X2) & ('#sk1' @ X4))) | ((X4) = ('#sk6' @ X2)))),
% 15.95/2.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl19])).
% 15.95/2.84 thf(zip_derived_cl21, plain,
% 15.95/2.84 (![X2 : a, X4 : a > $o]:
% 15.95/2.84 (~ (X4 @ X2) | ~ ('#sk1' @ X4) | ((X4) = ('#sk6' @ X2)))),
% 15.95/2.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])).
% 15.95/2.84 thf(zip_derived_cl1096, plain,
% 15.95/2.84 (![X0 : a]:
% 15.95/2.84 (~ ('#sk24' @ '#sk6' @ X0)
% 15.95/2.84 | (('#sk6' @ ('#sk11' @ ('#sk24' @ '#sk6')))
% 15.95/2.84 = ('#sk6' @ ('#sk11' @ ('#sk6' @ X0)))))),
% 15.95/2.84 inference('clc', [status(thm)], [zip_derived_cl1002, zip_derived_cl21])).
% 15.95/2.84 thf(zip_derived_cl721, plain,
% 15.95/2.84 (![X0 : a > a > $o, X1 : a]:
% 15.95/2.84 ( ('#sk1' @ ('#sk24' @ X0))
% 15.95/2.84 | (('#sk24' @ X0 @ X1) = (X0 @ ('#sk11' @ ('#sk24' @ X0)) @ X1)))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl156])).
% 15.95/2.84 thf(zip_derived_cl897, plain,
% 15.95/2.84 (![X0 : a > a > $o]:
% 15.95/2.84 ((('#sk24' @ X0) = (X0 @ ('#sk11' @ ('#sk24' @ X0))))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ X0)))),
% 15.95/2.84 inference('ho_ext_pos_general', [status(thm)], [zip_derived_cl721])).
% 15.95/2.84 thf(zip_derived_cl1107, plain,
% 15.95/2.84 (![X0 : a]:
% 15.95/2.84 ((('#sk24' @ '#sk6') = ('#sk6' @ ('#sk11' @ ('#sk6' @ X0))))
% 15.95/2.84 | ~ ('#sk24' @ '#sk6' @ X0)
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6')))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl1096, zip_derived_cl897])).
% 15.95/2.84 thf(zip_derived_cl43, plain,
% 15.95/2.84 (![X0 : a, X1 : a]:
% 15.95/2.84 (~ ('#sk6' @ X1 @ X0) | (('#sk6' @ X1) = ('#sk6' @ X0)))),
% 15.95/2.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])).
% 15.95/2.84 thf(zip_derived_cl99, plain,
% 15.95/2.84 (![X2 : a > a > $o, X3 : a]:
% 15.95/2.84 (~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | ((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1)))))))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('cannonize vars', [status(thm)], [zip_derived_cl98])).
% 15.95/2.84 thf(zip_derived_cl103, plain,
% 15.95/2.84 (![X2 : a > a > $o, X3 : a]:
% 15.95/2.84 (~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | (((^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ (^[Y1 : a,Y2 : a]: (X2 @ Y1 @ Y2)) @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @
% 15.95/2.84 (^[Y2 : a,Y3 : a]: (X2 @ Y2 @ Y3)) @ Y1) <=>
% 15.95/2.84 (X2 @ Y0 @ Y1))))))))) @
% 15.95/2.84 ('#sk173' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('quantifier_rw', [status(thm)], [zip_derived_cl99])).
% 15.95/2.84 thf(zip_derived_cl104, plain,
% 15.95/2.84 (![X2 : a > a > $o, X3 : a]:
% 15.95/2.84 (~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | (((('#sk24' @ X2 @ ('#sk173' @ X2)) =>
% 15.95/2.84 (((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) <=> (X2 @ ('#sk173' @ X2) @
% 15.95/2.84 Y0))))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('ho_norm', [status(thm)], [zip_derived_cl103])).
% 15.95/2.84 thf(zip_derived_cl105, plain,
% 15.95/2.84 (![X-135 : a, X2 : a > a > $o, X3 : a]:
% 15.95/2.84 ( ((^[Y0 : a]: ((('#sk24' @ X2 @ Y0) <=> (X2 @ ('#sk173' @ X2) @ Y0)))) @
% 15.95/2.84 X-135)
% 15.95/2.84 | ~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | (((('#sk24' @ X2 @ ('#sk173' @ X2)) => ($false)))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('forall_hoist', [status(thm)], [zip_derived_cl104])).
% 15.95/2.84 thf(zip_derived_cl117, plain,
% 15.95/2.84 (![X-135 : a, X2 : a > a > $o, X3 : a]:
% 15.95/2.84 ( ((('#sk24' @ X2 @ X-135) <=> (X2 @ ('#sk173' @ X2) @ X-135)))
% 15.95/2.84 | ~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | (((('#sk24' @ X2 @ ('#sk173' @ X2)) => ($false)))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('ho_norm', [status(thm)], [zip_derived_cl105])).
% 15.95/2.84 thf(zip_derived_cl118, plain,
% 15.95/2.84 (![X-135 : a, X2 : a > a > $o, X3 : a]:
% 15.95/2.84 ( ((('#sk24' @ X2 @ X-135) <=> (X2 @ ('#sk173' @ X2) @ X-135)))
% 15.95/2.84 | ~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | ((((~) @ ('#sk24' @ X2 @ ('#sk173' @ X2))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl117])).
% 15.95/2.84 thf(zip_derived_cl119, plain,
% 15.95/2.84 (![X2 : a > a > $o, X3 : a, X4 : a]:
% 15.95/2.84 ( ((('#sk24' @ X2 @ X4) <=> (X2 @ ('#sk173' @ X2) @ X4)))
% 15.95/2.84 | ~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | ((((~) @ ('#sk24' @ X2 @ ('#sk173' @ X2))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('cannonize vars', [status(thm)], [zip_derived_cl118])).
% 15.95/2.84 thf(zip_derived_cl120, plain,
% 15.95/2.84 (![X2 : a > a > $o, X3 : a, X4 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ X4) = (X2 @ ('#sk173' @ X2) @ X4))
% 15.95/2.84 | ~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | (('#sk24' @ X2 @ ('#sk173' @ X2)) = ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('simplify nested equalities', [status(thm)],
% 15.95/2.84 [zip_derived_cl119])).
% 15.95/2.84 thf(zip_derived_cl237, plain,
% 15.95/2.84 (![X0 : a, X1 : a]:
% 15.95/2.84 (~ ('#sk24' @ '#sk6' @ X0)
% 15.95/2.84 | (('#sk6' @ ('#sk173' @ '#sk6')) = ('#sk6' @ X0))
% 15.95/2.84 | (('#sk24' @ '#sk6' @ ('#sk173' @ '#sk6'))
% 15.95/2.84 = ('#sk1' @ ('#sk24' @ '#sk6')))
% 15.95/2.84 | ~ ('#sk24' @ '#sk6' @ X1))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl120])).
% 15.95/2.84 thf(zip_derived_cl279, plain,
% 15.95/2.84 (![X0 : a]:
% 15.95/2.84 (~ ('#sk24' @ '#sk6' @ X0)
% 15.95/2.84 | (('#sk6' @ ('#sk173' @ '#sk6')) = ('#sk6' @ X0))
% 15.95/2.84 | (('#sk24' @ '#sk6' @ ('#sk173' @ '#sk6'))
% 15.95/2.84 = ('#sk1' @ ('#sk24' @ '#sk6'))))),
% 15.95/2.84 inference('condensation', [status(thm)], [zip_derived_cl237])).
% 15.95/2.84 thf(zip_derived_cl287, plain,
% 15.95/2.84 (![X0 : a]:
% 15.95/2.84 (~ ('#sk24' @ '#sk6' @ ('#sk173' @ '#sk6'))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6'))
% 15.95/2.84 | (('#sk6' @ ('#sk173' @ '#sk6')) = ('#sk6' @ X0))
% 15.95/2.84 | ~ ('#sk24' @ '#sk6' @ X0))),
% 15.95/2.84 inference('eq_elim', [status(thm)], [zip_derived_cl279])).
% 15.95/2.84 thf(zip_derived_cl897, plain,
% 15.95/2.84 (![X0 : a > a > $o]:
% 15.95/2.84 ((('#sk24' @ X0) = (X0 @ ('#sk11' @ ('#sk24' @ X0))))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ X0)))),
% 15.95/2.84 inference('ho_ext_pos_general', [status(thm)], [zip_derived_cl721])).
% 15.95/2.84 thf(zip_derived_cl156, plain,
% 15.95/2.84 (![X2 : a > a > $o]: ('#sk24' @ X2 @ ('#sk11' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('clc', [status(thm)], [zip_derived_cl136, zip_derived_cl16])).
% 15.95/2.84 thf(zip_derived_cl926, plain,
% 15.95/2.84 (![X0 : a > a > $o]:
% 15.95/2.84 ( ('#sk24' @ X0 @ ('#sk11' @ (X0 @ ('#sk11' @ ('#sk24' @ X0)))))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ X0)))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl897, zip_derived_cl156])).
% 15.95/2.84 thf(zip_derived_cl1078, plain,
% 15.95/2.84 (((('#sk6' @ ('#sk173' @ '#sk6'))
% 15.95/2.84 = ('#sk6' @ ('#sk11' @ ('#sk6' @ ('#sk11' @ ('#sk24' @ '#sk6'))))))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6'))
% 15.95/2.84 | ~ ('#sk24' @ '#sk6' @ ('#sk173' @ '#sk6'))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6')))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl287, zip_derived_cl926])).
% 15.95/2.84 thf(zip_derived_cl1084, plain,
% 15.95/2.84 ((~ ('#sk24' @ '#sk6' @ ('#sk173' @ '#sk6'))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6'))
% 15.95/2.84 | (('#sk6' @ ('#sk173' @ '#sk6'))
% 15.95/2.84 = ('#sk6' @ ('#sk11' @ ('#sk6' @ ('#sk11' @ ('#sk24' @ '#sk6')))))))),
% 15.95/2.84 inference('simplify', [status(thm)], [zip_derived_cl1078])).
% 15.95/2.84 thf(zip_derived_cl1388, plain,
% 15.95/2.84 (((('#sk6' @ ('#sk173' @ '#sk6')) = ('#sk24' @ '#sk6'))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6'))
% 15.95/2.84 | ~ ('#sk24' @ '#sk6' @ ('#sk11' @ ('#sk24' @ '#sk6')))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6'))
% 15.95/2.84 | ~ ('#sk24' @ '#sk6' @ ('#sk173' @ '#sk6')))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl1107, zip_derived_cl1084])).
% 15.95/2.84 thf(zip_derived_cl156, plain,
% 15.95/2.84 (![X2 : a > a > $o]: ('#sk24' @ X2 @ ('#sk11' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('clc', [status(thm)], [zip_derived_cl136, zip_derived_cl16])).
% 15.95/2.84 thf(zip_derived_cl1423, plain,
% 15.95/2.84 (((('#sk6' @ ('#sk173' @ '#sk6')) = ('#sk24' @ '#sk6'))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6'))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6'))
% 15.95/2.84 | ~ ('#sk24' @ '#sk6' @ ('#sk173' @ '#sk6')))),
% 15.95/2.84 inference('demod', [status(thm)], [zip_derived_cl1388, zip_derived_cl156])).
% 15.95/2.84 thf(zip_derived_cl1424, plain,
% 15.95/2.84 ((~ ('#sk24' @ '#sk6' @ ('#sk173' @ '#sk6'))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6'))
% 15.95/2.84 | (('#sk6' @ ('#sk173' @ '#sk6')) = ('#sk24' @ '#sk6')))),
% 15.95/2.84 inference('simplify', [status(thm)], [zip_derived_cl1423])).
% 15.95/2.84 thf(zip_derived_cl21, plain,
% 15.95/2.84 (![X2 : a, X4 : a > $o]:
% 15.95/2.84 (~ (X4 @ X2) | ~ ('#sk1' @ X4) | ((X4) = ('#sk6' @ X2)))),
% 15.95/2.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])).
% 15.95/2.84 thf(zip_derived_cl1429, plain,
% 15.95/2.84 (((('#sk6' @ ('#sk173' @ '#sk6')) = ('#sk24' @ '#sk6'))
% 15.95/2.84 | ~ ('#sk24' @ '#sk6' @ ('#sk173' @ '#sk6')))),
% 15.95/2.84 inference('clc', [status(thm)], [zip_derived_cl1424, zip_derived_cl21])).
% 15.95/2.84 thf(zip_derived_cl120, plain,
% 15.95/2.84 (![X2 : a > a > $o, X3 : a, X4 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ X4) = (X2 @ ('#sk173' @ X2) @ X4))
% 15.95/2.84 | ~ ('#sk24' @ X2 @ X3)
% 15.95/2.84 | (('#sk24' @ X2 @ ('#sk173' @ X2)) = ('#sk1' @ ('#sk24' @ X2))))),
% 15.95/2.84 inference('simplify nested equalities', [status(thm)],
% 15.95/2.84 [zip_derived_cl119])).
% 15.95/2.84 thf(zip_derived_cl156, plain,
% 15.95/2.84 (![X2 : a > a > $o]: ('#sk24' @ X2 @ ('#sk11' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('clc', [status(thm)], [zip_derived_cl136, zip_derived_cl16])).
% 15.95/2.84 thf(zip_derived_cl210, plain,
% 15.95/2.84 (![X0 : a > a > $o, X1 : a]:
% 15.95/2.84 ((('#sk24' @ X0 @ ('#sk173' @ X0)) = ('#sk1' @ ('#sk24' @ X0)))
% 15.95/2.84 | (('#sk24' @ X0 @ X1) = (X0 @ ('#sk173' @ X0) @ X1)))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl156])).
% 15.95/2.84 thf(zip_derived_cl96, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 ((((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1))))))))))) &
% 15.95/2.84 ('#sk24' @ X2 @ ('#sk11' @ ('#sk24' @ X2)))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('ho_norm', [status(thm)], [zip_derived_cl95])).
% 15.95/2.84 thf(zip_derived_cl156, plain,
% 15.95/2.84 (![X2 : a > a > $o]: ('#sk24' @ X2 @ ('#sk11' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('clc', [status(thm)], [zip_derived_cl136, zip_derived_cl16])).
% 15.95/2.84 thf(zip_derived_cl157, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 ((((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1))))))))))) &
% 15.95/2.84 ($true)))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl156])).
% 15.95/2.84 thf(zip_derived_cl158, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 ((((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y1) <=> (X2 @ Y0 @ Y1)))))))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl157])).
% 15.95/2.84 thf(zip_derived_cl383, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 (((^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ (^[Y1 : a,Y2 : a]: (X2 @ Y1 @ Y2)) @ Y0) =>
% 15.95/2.84 (((!!) @ (^[Y1 : a]:
% 15.95/2.84 ((('#sk24' @ (^[Y2 : a,Y3 : a]: (X2 @ Y2 @ Y3)) @
% 15.95/2.84 Y1) <=> (X2 @ Y0 @ Y1))))))))) @
% 15.95/2.84 ('#sk173' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('quantifier_rw', [status(thm)], [zip_derived_cl158])).
% 15.95/2.84 thf(zip_derived_cl384, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 (((('#sk24' @ X2 @ ('#sk173' @ X2)) =>
% 15.95/2.84 (((!!) @ (^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ X2 @ Y0) <=> (X2 @ ('#sk173' @ X2) @ Y0))))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('ho_norm', [status(thm)], [zip_derived_cl383])).
% 15.95/2.84 thf(zip_derived_cl386, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 (((('#sk24' @ X2 @ ('#sk173' @ X2)) =>
% 15.95/2.84 ((^[Y0 : a]:
% 15.95/2.84 ((('#sk24' @ (^[Y1 : a,Y2 : a]: (X2 @ Y1 @ Y2)) @ Y0) <=>
% 15.95/2.84 (X2 @ ('#sk173' @ (^[Y1 : a,Y2 : a]: (X2 @ Y1 @ Y2))) @ Y0)))) @
% 15.95/2.84 ('#sk200' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('quantifier_rw', [status(thm)], [zip_derived_cl384])).
% 15.95/2.84 thf(zip_derived_cl390, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 (((('#sk24' @ X2 @ ('#sk173' @ X2)) =>
% 15.95/2.84 ((('#sk24' @ X2 @ ('#sk200' @ X2)) <=> (X2 @ ('#sk173' @ X2) @
% 15.95/2.84 ('#sk200' @ X2))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('ho_norm', [status(thm)], [zip_derived_cl386])).
% 15.95/2.84 thf(zip_derived_cl478, plain,
% 15.95/2.84 (![X0 : a > a > $o]:
% 15.95/2.84 ((((('#sk24' @ X0 @ ('#sk173' @ X0)) =>
% 15.95/2.84 (((X0 @ ('#sk173' @ X0) @ ('#sk200' @ X0)) <=> (X0 @
% 15.95/2.84 ('#sk173' @ X0) @ ('#sk200' @ X0))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X0)))
% 15.95/2.84 | (('#sk24' @ X0 @ ('#sk173' @ X0)) = ('#sk1' @ ('#sk24' @ X0))))),
% 15.95/2.84 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl390])).
% 15.95/2.84 thf(zip_derived_cl513, plain,
% 15.95/2.84 (![X0 : a > a > $o]:
% 15.95/2.84 (~ ('#sk1' @ ('#sk24' @ X0))
% 15.95/2.84 | (('#sk24' @ X0 @ ('#sk173' @ X0)) = ('#sk1' @ ('#sk24' @ X0))))),
% 15.95/2.84 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl478])).
% 15.95/2.84 thf(zip_derived_cl514, plain,
% 15.95/2.84 (![X0 : a > a > $o]:
% 15.95/2.84 (~ ('#sk1' @ ('#sk24' @ X0)) | ('#sk24' @ X0 @ ('#sk173' @ X0)))),
% 15.95/2.84 inference('local_rewriting', [status(thm)], [zip_derived_cl513])).
% 15.95/2.84 thf(zip_derived_cl1432, plain,
% 15.95/2.84 (((('#sk6' @ ('#sk173' @ '#sk6')) = ('#sk24' @ '#sk6'))
% 15.95/2.84 | ~ ('#sk1' @ ('#sk24' @ '#sk6')))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl1429, zip_derived_cl514])).
% 15.95/2.84 thf(zip_derived_cl1107, plain,
% 15.95/2.84 (![X0 : a]:
% 15.95/2.84 ((('#sk24' @ '#sk6') = ('#sk6' @ ('#sk11' @ ('#sk6' @ X0))))
% 15.95/2.84 | ~ ('#sk24' @ '#sk6' @ X0)
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6')))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl1096, zip_derived_cl897])).
% 15.95/2.84 thf(zip_derived_cl13, plain, (![X2 : a]: ('#sk1' @ ('#sk6' @ X2))),
% 15.95/2.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 15.95/2.84 thf(zip_derived_cl1401, plain,
% 15.95/2.84 (![X0 : a]:
% 15.95/2.84 ( ('#sk1' @ ('#sk24' @ '#sk6'))
% 15.95/2.84 | ('#sk1' @ ('#sk24' @ '#sk6'))
% 15.95/2.84 | ~ ('#sk24' @ '#sk6' @ X0))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl1107, zip_derived_cl13])).
% 15.95/2.84 thf(zip_derived_cl1428, plain,
% 15.95/2.84 (![X0 : a]: (~ ('#sk24' @ '#sk6' @ X0) | ('#sk1' @ ('#sk24' @ '#sk6')))),
% 15.95/2.84 inference('simplify', [status(thm)], [zip_derived_cl1401])).
% 15.95/2.84 thf(zip_derived_cl156, plain,
% 15.95/2.84 (![X2 : a > a > $o]: ('#sk24' @ X2 @ ('#sk11' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('clc', [status(thm)], [zip_derived_cl136, zip_derived_cl16])).
% 15.95/2.84 thf(zip_derived_cl1448, plain, ( ('#sk1' @ ('#sk24' @ '#sk6'))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl1428, zip_derived_cl156])).
% 15.95/2.84 thf(zip_derived_cl1574, plain,
% 15.95/2.84 ((('#sk6' @ ('#sk173' @ '#sk6')) = ('#sk24' @ '#sk6'))),
% 15.95/2.84 inference('demod', [status(thm)],
% 15.95/2.84 [zip_derived_cl1432, zip_derived_cl1448])).
% 15.95/2.84 thf(zip_derived_cl1587, plain,
% 15.95/2.84 (![X1 : a]:
% 15.95/2.84 (('#sk6' @ ('#sk173' @ '#sk6') @ X1) = ('#sk24' @ '#sk6' @ X1))),
% 15.95/2.84 inference('ho_complete_eq', [status(thm)], [zip_derived_cl1574])).
% 15.95/2.84 thf(zip_derived_cl390, plain,
% 15.95/2.84 (![X2 : a > a > $o]:
% 15.95/2.84 (((('#sk24' @ X2 @ ('#sk173' @ X2)) =>
% 15.95/2.84 ((('#sk24' @ X2 @ ('#sk200' @ X2)) <=> (X2 @ ('#sk173' @ X2) @
% 15.95/2.84 ('#sk200' @ X2))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ X2)))),
% 15.95/2.84 inference('ho_norm', [status(thm)], [zip_derived_cl386])).
% 15.95/2.84 thf(zip_derived_cl1653, plain,
% 15.95/2.84 ((((('#sk24' @ '#sk6' @ ('#sk173' @ '#sk6')) =>
% 15.95/2.84 ((('#sk24' @ '#sk6' @ ('#sk200' @ '#sk6')) <=> ('#sk24' @ '#sk6' @
% 15.95/2.84 ('#sk200' @ '#sk6'))))))
% 15.95/2.84 != ('#sk1' @ ('#sk24' @ '#sk6')))),
% 15.95/2.84 inference('sup-', [status(thm)], [zip_derived_cl1587, zip_derived_cl390])).
% 15.95/2.84 thf(zip_derived_cl1448, plain, ( ('#sk1' @ ('#sk24' @ '#sk6'))),
% 15.95/2.84 inference('sup+', [status(thm)], [zip_derived_cl1428, zip_derived_cl156])).
% 15.95/2.84 thf(zip_derived_cl1670, plain,
% 15.95/2.84 (~ ((('#sk24' @ '#sk6' @ ('#sk173' @ '#sk6')) =>
% 15.95/2.84 ((('#sk24' @ '#sk6' @ ('#sk200' @ '#sk6')) <=> ('#sk24' @ '#sk6' @
% 15.95/2.84 ('#sk200' @ '#sk6'))))))),
% 15.95/2.84 inference('demod', [status(thm)],
% 15.95/2.84 [zip_derived_cl1653, zip_derived_cl1448])).
% 15.95/2.84 thf(zip_derived_cl1671, plain, ($false),
% 15.95/2.84 inference('simplify boolean subterms', [status(thm)],
% 15.95/2.84 [zip_derived_cl1670])).
% 15.95/2.84
% 15.95/2.84 % SZS output end Refutation
% 15.95/2.84
% 15.95/2.84
% 15.95/2.84 % Terminating...
% 16.43/2.92 % Runner terminated.
% 16.43/2.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------