TSTP Solution File: SEV222^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV222^5 : 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.g6tnLzfQQ3 true
% Computer : n012.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 20:00:05 EDT 2023
% Result : Theorem 1.48s 0.95s
% Output : Refutation 1.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV222^5 : 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.g6tnLzfQQ3 true
% 0.14/0.35 % Computer : n012.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 : Thu Aug 24 02:26:27 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /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
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.48/0.95 % Solved by lams/35_full_unif4.sh.
% 1.48/0.95 % done 44 iterations in 0.147s
% 1.48/0.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.48/0.95 % SZS output start Refutation
% 1.48/0.95 thf(a_type, type, a: $tType).
% 1.48/0.95 thf('#sk80_type', type, '#sk80': a > $o).
% 1.48/0.95 thf('#sk62_type', type, '#sk62': a > $o).
% 1.48/0.95 thf(cW_type, type, cW: (a > $o) > $o).
% 1.48/0.95 thf('#sk1_type', type, '#sk1': a).
% 1.48/0.95 thf('#form79_type', type, '#form79': $o).
% 1.48/0.95 thf('#sk2_type', type, '#sk2': a > $o).
% 1.48/0.95 thf(cZ_type, type, cZ: a > $o).
% 1.48/0.95 thf(cTHM60_pme, conjecture,
% 1.48/0.95 (![Xx:a]:
% 1.48/0.95 ( ( ( cZ @ Xx ) | ( ![S:( a > $o )]: ( ( cW @ S ) => ( S @ Xx ) ) ) ) <=>
% 1.48/0.95 ( ![S:( a > $o )]:
% 1.48/0.95 ( ( ?[Xt:( a > $o )]:
% 1.48/0.95 ( ( cW @ Xt ) &
% 1.48/0.95 ( ( S ) = ( ^[Xz:a]: ( ( Xt @ Xz ) | ( cZ @ Xz ) ) ) ) ) ) =>
% 1.48/0.95 ( S @ Xx ) ) ) ))).
% 1.48/0.95 thf(zf_stmt_0, negated_conjecture,
% 1.48/0.95 (~( ![Xx:a]:
% 1.48/0.95 ( ( ( cZ @ Xx ) | ( ![S:( a > $o )]: ( ( cW @ S ) => ( S @ Xx ) ) ) ) <=>
% 1.48/0.95 ( ![S:( a > $o )]:
% 1.48/0.95 ( ( ?[Xt:( a > $o )]:
% 1.48/0.95 ( ( cW @ Xt ) &
% 1.48/0.95 ( ( S ) = ( ^[Xz:a]: ( ( Xt @ Xz ) | ( cZ @ Xz ) ) ) ) ) ) =>
% 1.48/0.95 ( S @ Xx ) ) ) ) )),
% 1.48/0.95 inference('cnf.neg', [status(esa)], [cTHM60_pme])).
% 1.48/0.95 thf(zip_derived_cl0, plain,
% 1.48/0.95 (~ (((!!) @ (^[Y0 : a]:
% 1.48/0.95 (((((cZ @ Y0) |
% 1.48/0.95 (((!!) @ (^[Y1 : a > $o]: (((cW @ Y1) => (Y1 @ Y0)))))))) <=>
% 1.48/0.95 (((!!) @ (^[Y1 : a > $o]:
% 1.48/0.95 (((((??) @ (^[Y2 : a > $o]:
% 1.48/0.95 (((cW @ Y2) &
% 1.48/0.95 (((Y1) =
% 1.48/0.95 ((^[Y3 : a]:
% 1.48/0.95 (((Y2 @ Y3) | (cZ @
% 1.48/0.95 Y3)))))))))))) =>
% 1.48/0.95 (Y1 @ Y0)))))))))))),
% 1.48/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.48/0.95 thf(zip_derived_cl1, plain,
% 1.48/0.95 (~ (((((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))) <=>
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((((??) @ (^[Y1 : a > $o]:
% 1.48/0.95 (((cW @ Y1) &
% 1.48/0.95 (((Y0) =
% 1.48/0.95 ((^[Y2 : a]: (((Y1 @ Y2) | (cZ @ Y2)))))))))))) =>
% 1.48/0.95 (Y0 @ '#sk1'))))))))),
% 1.48/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 1.48/0.95 thf(zip_derived_cl2, plain,
% 1.48/0.95 (((((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1'))))))))
% 1.48/0.95 != (((!!) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((((??) @ (^[Y1 : a > $o]:
% 1.48/0.95 (((cW @ Y1) &
% 1.48/0.95 (((Y0) =
% 1.48/0.95 ((^[Y2 : a]:
% 1.48/0.95 (((Y1 @ Y2) | (cZ @ Y2)))))))))))) =>
% 1.48/0.95 (Y0 @ '#sk1')))))))),
% 1.48/0.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])).
% 1.48/0.95 thf(zip_derived_cl5, plain,
% 1.48/0.95 (((((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1'))))))))
% 1.48/0.95 != ((^[Y0 : a > $o]:
% 1.48/0.95 (((((??) @ (^[Y1 : a > $o]:
% 1.48/0.95 (((cW @ (^[Y2 : a]: (Y1 @ Y2))) &
% 1.48/0.95 ((((^[Y2 : a]: (Y0 @ Y2))) =
% 1.48/0.95 ((^[Y2 : a]: (((Y1 @ Y2) | (cZ @ Y2)))))))))))) =>
% 1.48/0.95 (Y0 @ '#sk1')))) @
% 1.48/0.95 '#sk2'))),
% 1.48/0.95 inference('quantifier_rw', [status(thm)], [zip_derived_cl2])).
% 1.48/0.95 thf(zip_derived_cl6, plain,
% 1.48/0.95 (((((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1'))))))))
% 1.48/0.95 != (((((??) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((cW @ Y0) &
% 1.48/0.95 ((('#sk2') =
% 1.48/0.95 ((^[Y1 : a]: (((Y0 @ Y1) | (cZ @ Y1)))))))))))) =>
% 1.48/0.95 ('#sk2' @ '#sk1'))))),
% 1.48/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl5])).
% 1.48/0.95 thf(zip_derived_cl19, plain,
% 1.48/0.95 ((~ (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1'))))))))
% 1.48/0.95 | ~ (((((??) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((cW @ Y0) &
% 1.48/0.95 ((('#sk2') =
% 1.48/0.95 ((^[Y1 : a]: (((Y0 @ Y1) | (cZ @ Y1)))))))))))) =>
% 1.48/0.95 ('#sk2' @ '#sk1'))))),
% 1.48/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl6])).
% 1.48/0.95 thf(zip_derived_cl51, plain,
% 1.48/0.95 (( ('#form79')
% 1.48/0.95 | ~ (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))))),
% 1.48/0.95 define([status(thm)])).
% 1.48/0.95 thf(zip_derived_cl53, plain,
% 1.48/0.95 ((~ (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1'))))))
% 1.48/0.95 | ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl51])).
% 1.48/0.95 thf(zip_derived_cl62, plain,
% 1.48/0.95 ((~ (((cW @ '#sk80') => ('#sk80' @ '#sk1'))) | ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl53])).
% 1.48/0.95 thf(zip_derived_cl65, plain, ((~ ('#sk80' @ '#sk1') | ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])).
% 1.48/0.95 thf(zip_derived_cl19, plain,
% 1.48/0.95 ((~ (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1'))))))))
% 1.48/0.95 | ~ (((((??) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((cW @ Y0) &
% 1.48/0.95 ((('#sk2') =
% 1.48/0.95 ((^[Y1 : a]: (((Y0 @ Y1) | (cZ @ Y1)))))))))))) =>
% 1.48/0.95 ('#sk2' @ '#sk1'))))),
% 1.48/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl6])).
% 1.48/0.95 thf(zip_derived_cl51, plain,
% 1.48/0.95 (( ('#form79')
% 1.48/0.95 | ~ (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))))),
% 1.48/0.95 define([status(thm)])).
% 1.48/0.95 thf(zip_derived_cl54, plain,
% 1.48/0.95 ((~ ('#form79')
% 1.48/0.95 | ~ (((((??) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((cW @ Y0) &
% 1.48/0.95 ((('#sk2') =
% 1.48/0.95 ((^[Y1 : a]: (((Y0 @ Y1) | (cZ @ Y1)))))))))))) =>
% 1.48/0.95 ('#sk2' @ '#sk1'))))),
% 1.48/0.95 inference('renaming', [status(thm)], [zip_derived_cl19, zip_derived_cl51])).
% 1.48/0.95 thf(zip_derived_cl55, plain,
% 1.48/0.95 (( (((??) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((cW @ Y0) &
% 1.48/0.95 ((('#sk2') = ((^[Y1 : a]: (((Y0 @ Y1) | (cZ @ Y1))))))))))))
% 1.48/0.95 | ~ ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])).
% 1.48/0.95 thf(zip_derived_cl63, plain,
% 1.48/0.95 (( (((cW @ '#sk62') &
% 1.48/0.95 ((('#sk2') = ((^[Y0 : a]: ((('#sk62' @ Y0) | (cZ @ Y0)))))))))
% 1.48/0.95 | ~ ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl55])).
% 1.48/0.95 thf(zip_derived_cl67, plain,
% 1.48/0.95 (( ((('#sk2') = ((^[Y0 : a]: ((('#sk62' @ Y0) | (cZ @ Y0)))))))
% 1.48/0.95 | ~ ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])).
% 1.48/0.95 thf(zip_derived_cl68, plain,
% 1.48/0.95 (((('#sk2') = ((^[Y0 : a]: ((('#sk62' @ Y0) | (cZ @ Y0))))))
% 1.48/0.95 | ~ ('#form79'))),
% 1.48/0.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl67])).
% 1.48/0.95 thf(zip_derived_cl83, plain,
% 1.48/0.95 (![X1 : a]:
% 1.48/0.95 ((('#sk2' @ X1) = ((^[Y0 : a]: ((('#sk62' @ Y0) | (cZ @ Y0)))) @ X1))
% 1.48/0.95 | ~ ('#form79'))),
% 1.48/0.95 inference('ho_complete_eq', [status(thm)], [zip_derived_cl68])).
% 1.48/0.95 thf(zip_derived_cl84, plain,
% 1.48/0.95 (![X1 : a]:
% 1.48/0.95 ((('#sk2' @ X1) = ((('#sk62' @ X1) | (cZ @ X1)))) | ~ ('#form79'))),
% 1.48/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl83])).
% 1.48/0.95 thf(zip_derived_cl120, plain,
% 1.48/0.95 (![X1 : a]:
% 1.48/0.95 ( ('#sk62' @ X1)
% 1.48/0.95 | (('#sk2' @ X1) = ((($false) | (cZ @ X1))))
% 1.48/0.95 | ~ ('#form79'))),
% 1.48/0.95 inference('bool_hoist', [status(thm)], [zip_derived_cl84])).
% 1.48/0.95 thf(zip_derived_cl121, plain,
% 1.48/0.95 (![X1 : a]:
% 1.48/0.95 ( ('#sk62' @ X1) | (('#sk2' @ X1) = (cZ @ X1)) | ~ ('#form79'))),
% 1.48/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl120])).
% 1.48/0.95 thf(zip_derived_cl66, plain, (( (cW @ '#sk62') | ~ ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])).
% 1.48/0.95 thf(zip_derived_cl2, plain,
% 1.48/0.95 (((((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1'))))))))
% 1.48/0.95 != (((!!) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((((??) @ (^[Y1 : a > $o]:
% 1.48/0.95 (((cW @ Y1) &
% 1.48/0.95 (((Y0) =
% 1.48/0.95 ((^[Y2 : a]:
% 1.48/0.95 (((Y1 @ Y2) | (cZ @ Y2)))))))))))) =>
% 1.48/0.95 (Y0 @ '#sk1')))))))),
% 1.48/0.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])).
% 1.48/0.95 thf(zip_derived_cl3, plain,
% 1.48/0.95 (![X-81 : a > $o]:
% 1.48/0.95 ( ((^[Y0 : a > $o]:
% 1.48/0.95 (((((??) @ (^[Y1 : a > $o]:
% 1.48/0.95 (((cW @ Y1) &
% 1.48/0.95 (((Y0) =
% 1.48/0.95 ((^[Y2 : a]: (((Y1 @ Y2) | (cZ @ Y2)))))))))))) =>
% 1.48/0.95 (Y0 @ '#sk1')))) @
% 1.48/0.95 X-81)
% 1.48/0.95 | (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))))),
% 1.48/0.95 inference('forall_hoist', [status(thm)], [zip_derived_cl2])).
% 1.48/0.95 thf(zip_derived_cl4, plain,
% 1.48/0.95 (( (((((??) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((cW @ Y0) &
% 1.48/0.95 ((('#sk2') = ((^[Y1 : a]: (((Y0 @ Y1) | (cZ @ Y1)))))))))))) =>
% 1.48/0.95 ('#sk2' @ '#sk1')))
% 1.48/0.95 | (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))))),
% 1.48/0.95 inference('triggered_bool_instantiation', [status(thm)],
% 1.48/0.95 [zip_derived_cl3])).
% 1.48/0.95 thf(zip_derived_cl85, plain,
% 1.48/0.95 ((~ ('#form79')
% 1.48/0.95 | (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))))),
% 1.48/0.95 define([status(thm)])).
% 1.48/0.95 thf(zip_derived_cl86, plain,
% 1.48/0.95 (( (cZ @ '#sk1')
% 1.48/0.95 | (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1'))))))
% 1.48/0.95 | ~ ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl85])).
% 1.48/0.95 thf(zip_derived_cl89, plain,
% 1.48/0.95 (![X2 : a > $o]:
% 1.48/0.95 ( (((cW @ X2) => (X2 @ '#sk1'))) | ~ ('#form79') | (cZ @ '#sk1'))),
% 1.48/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl86])).
% 1.48/0.95 thf(zip_derived_cl99, plain,
% 1.48/0.95 (![X2 : a > $o]:
% 1.48/0.95 (~ (cW @ X2) | (X2 @ '#sk1') | (cZ @ '#sk1') | ~ ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl89])).
% 1.48/0.95 thf(zip_derived_cl103, plain,
% 1.48/0.95 ((~ ('#form79') | ~ ('#form79') | (cZ @ '#sk1') | ('#sk62' @ '#sk1'))),
% 1.48/0.95 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl99])).
% 1.48/0.95 thf(zip_derived_cl106, plain,
% 1.48/0.95 (( ('#sk62' @ '#sk1') | (cZ @ '#sk1') | ~ ('#form79'))),
% 1.48/0.95 inference('simplify', [status(thm)], [zip_derived_cl103])).
% 1.48/0.95 thf(zip_derived_cl122, plain,
% 1.48/0.95 (( ('#sk2' @ '#sk1')
% 1.48/0.95 | ~ ('#form79')
% 1.48/0.95 | ('#sk62' @ '#sk1')
% 1.48/0.95 | ~ ('#form79')
% 1.48/0.95 | ('#sk62' @ '#sk1'))),
% 1.48/0.95 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl106])).
% 1.48/0.95 thf(zip_derived_cl132, plain,
% 1.48/0.95 (( ('#sk62' @ '#sk1') | ~ ('#form79') | ('#sk2' @ '#sk1'))),
% 1.48/0.95 inference('simplify', [status(thm)], [zip_derived_cl122])).
% 1.48/0.95 thf(zip_derived_cl56, plain, ((~ ('#sk2' @ '#sk1') | ~ ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])).
% 1.48/0.95 thf(zip_derived_cl138, plain, ((~ ('#form79') | ('#sk62' @ '#sk1'))),
% 1.48/0.95 inference('clc', [status(thm)], [zip_derived_cl132, zip_derived_cl56])).
% 1.48/0.95 thf(zip_derived_cl84, plain,
% 1.48/0.95 (![X1 : a]:
% 1.48/0.95 ((('#sk2' @ X1) = ((('#sk62' @ X1) | (cZ @ X1)))) | ~ ('#form79'))),
% 1.48/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl83])).
% 1.48/0.95 thf(zip_derived_cl139, plain,
% 1.48/0.95 (((('#sk2' @ '#sk1') = ((($true) | (cZ @ '#sk1'))))
% 1.48/0.95 | ~ ('#form79')
% 1.48/0.95 | ~ ('#form79'))),
% 1.48/0.95 inference('sup+', [status(thm)], [zip_derived_cl138, zip_derived_cl84])).
% 1.48/0.95 thf(zip_derived_cl141, plain,
% 1.48/0.95 ((~ ('#form79') | (('#sk2' @ '#sk1') = ((($true) | (cZ @ '#sk1')))))),
% 1.48/0.95 inference('simplify', [status(thm)], [zip_derived_cl139])).
% 1.48/0.95 thf(zip_derived_cl142, plain, ((~ ('#form79') | ('#sk2' @ '#sk1'))),
% 1.48/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl141])).
% 1.48/0.95 thf(zip_derived_cl56, plain, ((~ ('#sk2' @ '#sk1') | ~ ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])).
% 1.48/0.95 thf(zip_derived_cl145, plain, (~ ('#form79')),
% 1.48/0.95 inference('clc', [status(thm)], [zip_derived_cl142, zip_derived_cl56])).
% 1.48/0.95 thf(zip_derived_cl148, plain, (~ ('#sk80' @ '#sk1')),
% 1.48/0.95 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl145])).
% 1.48/0.95 thf(zip_derived_cl64, plain, (( (cW @ '#sk80') | ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])).
% 1.48/0.95 thf(zip_derived_cl145, plain, (~ ('#form79')),
% 1.48/0.95 inference('clc', [status(thm)], [zip_derived_cl142, zip_derived_cl56])).
% 1.48/0.95 thf(zip_derived_cl147, plain, ( (cW @ '#sk80')),
% 1.48/0.95 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl145])).
% 1.48/0.95 thf(zip_derived_cl3, plain,
% 1.48/0.95 (![X-81 : a > $o]:
% 1.48/0.95 ( ((^[Y0 : a > $o]:
% 1.48/0.95 (((((??) @ (^[Y1 : a > $o]:
% 1.48/0.95 (((cW @ Y1) &
% 1.48/0.95 (((Y0) =
% 1.48/0.95 ((^[Y2 : a]: (((Y1 @ Y2) | (cZ @ Y2)))))))))))) =>
% 1.48/0.95 (Y0 @ '#sk1')))) @
% 1.48/0.95 X-81)
% 1.48/0.95 | (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))))),
% 1.48/0.95 inference('forall_hoist', [status(thm)], [zip_derived_cl2])).
% 1.48/0.95 thf(zip_derived_cl7, plain,
% 1.48/0.95 (![X-81 : a > $o]:
% 1.48/0.95 ( (((((??) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((cW @ Y0) &
% 1.48/0.95 (((X-81) = ((^[Y1 : a]: (((Y0 @ Y1) | (cZ @ Y1)))))))))))) =>
% 1.48/0.95 (X-81 @ '#sk1')))
% 1.48/0.95 | (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))))),
% 1.48/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl3])).
% 1.48/0.95 thf(zip_derived_cl8, plain,
% 1.48/0.95 (![X0 : a > $o]:
% 1.48/0.95 ( (((((??) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((cW @ Y0) &
% 1.48/0.95 (((X0) = ((^[Y1 : a]: (((Y0 @ Y1) | (cZ @ Y1)))))))))))) =>
% 1.48/0.95 (X0 @ '#sk1')))
% 1.48/0.95 | (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))))),
% 1.48/0.95 inference('cannonize vars', [status(thm)], [zip_derived_cl7])).
% 1.48/0.95 thf(zip_derived_cl9, plain,
% 1.48/0.95 (![X0 : a > $o]:
% 1.48/0.95 (~ (((??) @ (^[Y0 : a > $o]:
% 1.48/0.95 (((cW @ Y0) &
% 1.48/0.95 (((X0) = ((^[Y1 : a]: (((Y0 @ Y1) | (cZ @ Y1))))))))))))
% 1.48/0.95 | (X0 @ '#sk1')
% 1.48/0.95 | (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))))),
% 1.48/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])).
% 1.48/0.95 thf(zip_derived_cl10, plain,
% 1.48/0.95 (![X0 : a > $o, X2 : a > $o]:
% 1.48/0.95 (~ (((cW @ X2) & (((X0) = ((^[Y0 : a]: (((X2 @ Y0) | (cZ @ Y0)))))))))
% 1.48/0.95 | (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1'))))))))
% 1.48/0.95 | (X0 @ '#sk1'))),
% 1.48/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])).
% 1.48/0.95 thf(zip_derived_cl12, plain,
% 1.48/0.95 (![X0 : a > $o, X2 : a > $o]:
% 1.48/0.95 (~ (cW @ X2)
% 1.48/0.95 | ~ (((X0) = ((^[Y0 : a]: (((X2 @ Y0) | (cZ @ Y0)))))))
% 1.48/0.95 | (X0 @ '#sk1')
% 1.48/0.95 | (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))))),
% 1.48/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])).
% 1.48/0.95 thf(zip_derived_cl13, plain,
% 1.48/0.95 (![X0 : a > $o, X2 : a > $o]:
% 1.48/0.95 (~ (cW @ X2)
% 1.48/0.95 | ((X0) != ((^[Y0 : a]: (((X2 @ Y0) | (cZ @ Y0))))))
% 1.48/0.95 | (X0 @ '#sk1')
% 1.48/0.95 | (((cZ @ '#sk1') |
% 1.48/0.95 (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1')))))))))),
% 1.48/0.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])).
% 1.48/0.95 thf(zip_derived_cl14, plain,
% 1.48/0.95 (![X0 : a > $o, X2 : a > $o]:
% 1.48/0.95 ( (cZ @ '#sk1')
% 1.48/0.95 | (((!!) @ (^[Y0 : a > $o]: (((cW @ Y0) => (Y0 @ '#sk1'))))))
% 1.48/0.95 | (X0 @ '#sk1')
% 1.48/0.95 | ((X0) != ((^[Y0 : a]: (((X2 @ Y0) | (cZ @ Y0))))))
% 1.48/0.95 | ~ (cW @ X2))),
% 1.48/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
% 1.48/0.95 thf(zip_derived_cl15, plain,
% 1.48/0.95 (![X0 : a > $o, X2 : a > $o, X4 : a > $o]:
% 1.48/0.95 ( (((cW @ X4) => (X4 @ '#sk1')))
% 1.48/0.95 | ~ (cW @ X2)
% 1.48/0.95 | ((X0) != ((^[Y0 : a]: (((X2 @ Y0) | (cZ @ Y0))))))
% 1.48/0.95 | (X0 @ '#sk1')
% 1.48/0.95 | (cZ @ '#sk1'))),
% 1.48/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])).
% 1.48/0.95 thf(zip_derived_cl17, plain,
% 1.48/0.95 (![X0 : a > $o, X2 : a > $o, X4 : a > $o]:
% 1.48/0.95 (~ (cW @ X4)
% 1.48/0.95 | (X4 @ '#sk1')
% 1.48/0.95 | (cZ @ '#sk1')
% 1.48/0.95 | (X0 @ '#sk1')
% 1.48/0.95 | ((X0) != ((^[Y0 : a]: (((X2 @ Y0) | (cZ @ Y0))))))
% 1.48/0.95 | ~ (cW @ X2))),
% 1.48/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])).
% 1.48/0.95 thf(zip_derived_cl52, plain, ((~ (cZ @ '#sk1') | ('#form79'))),
% 1.48/0.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl51])).
% 1.48/0.95 thf(zip_derived_cl145, plain, (~ ('#form79')),
% 1.48/0.95 inference('clc', [status(thm)], [zip_derived_cl142, zip_derived_cl56])).
% 1.48/0.95 thf(zip_derived_cl146, plain, (~ (cZ @ '#sk1')),
% 1.48/0.95 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl145])).
% 1.48/0.95 thf(zip_derived_cl221, plain,
% 1.48/0.95 (![X0 : a > $o, X2 : a > $o, X4 : a > $o]:
% 1.48/0.95 (~ (cW @ X4)
% 1.48/0.95 | (X4 @ '#sk1')
% 1.48/0.95 | (X0 @ '#sk1')
% 1.48/0.95 | ((X0) != ((^[Y0 : a]: (((X2 @ Y0) | (cZ @ Y0))))))
% 1.48/0.95 | ~ (cW @ X2))),
% 1.48/0.95 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl146])).
% 1.48/0.95 thf(zip_derived_cl224, plain,
% 1.48/0.95 (![X0 : a > $o, X1 : a > $o]:
% 1.48/0.95 (~ (cW @ X0)
% 1.48/0.95 | ((^[Y0 : a]: (((X0 @ Y0) | (cZ @ Y0)))) @ '#sk1')
% 1.48/0.95 | (X1 @ '#sk1')
% 1.48/0.95 | ~ (cW @ X1))),
% 1.48/0.95 inference('eq_res', [status(thm)], [zip_derived_cl221])).
% 1.48/0.95 thf(zip_derived_cl225, plain,
% 1.48/0.95 (![X0 : a > $o, X1 : a > $o]:
% 1.48/0.95 (~ (cW @ X0)
% 1.48/0.95 | (((X0 @ '#sk1') | (cZ @ '#sk1')))
% 1.48/0.95 | (X1 @ '#sk1')
% 1.48/0.95 | ~ (cW @ X1))),
% 1.48/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl224])).
% 1.48/0.95 thf(zip_derived_cl146, plain, (~ (cZ @ '#sk1')),
% 1.48/0.95 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl145])).
% 1.48/0.95 thf(zip_derived_cl228, plain,
% 1.48/0.95 (![X0 : a > $o, X1 : a > $o]:
% 1.48/0.95 (~ (cW @ X0)
% 1.48/0.95 | (((X0 @ '#sk1') | ($false)))
% 1.48/0.95 | (X1 @ '#sk1')
% 1.48/0.95 | ~ (cW @ X1))),
% 1.48/0.95 inference('demod', [status(thm)], [zip_derived_cl225, zip_derived_cl146])).
% 1.48/0.95 thf(zip_derived_cl229, plain,
% 1.48/0.95 (![X0 : a > $o, X1 : a > $o]:
% 1.48/0.95 (~ (cW @ X0) | (X0 @ '#sk1') | (X1 @ '#sk1') | ~ (cW @ X1))),
% 1.48/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl228])).
% 1.48/0.95 thf(zip_derived_cl239, plain,
% 1.48/0.95 (![X0 : a > $o]: (~ (cW @ X0) | (X0 @ '#sk1') | (X0 @ '#sk1'))),
% 1.48/0.95 inference('eq_fact', [status(thm)], [zip_derived_cl229])).
% 1.48/0.95 thf(zip_derived_cl241, plain,
% 1.48/0.95 (![X0 : a > $o]: ( (X0 @ '#sk1') | ~ (cW @ X0))),
% 1.48/0.95 inference('simplify', [status(thm)], [zip_derived_cl239])).
% 1.48/0.95 thf(zip_derived_cl248, plain, ( ('#sk80' @ '#sk1')),
% 1.48/0.95 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl241])).
% 1.48/0.95 thf(zip_derived_cl250, plain, ($false),
% 1.48/0.95 inference('demod', [status(thm)], [zip_derived_cl148, zip_derived_cl248])).
% 1.48/0.95
% 1.48/0.95 % SZS output end Refutation
% 1.48/0.95
% 1.48/0.95
% 1.48/0.95 % Terminating...
% 1.64/1.07 % Runner terminated.
% 1.64/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------