%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET624^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X7fw3DY4gi true
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:52:29 PM UTC 2025
% Result : Theorem 0.58s 0.79s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET624^5 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X7fw3DY4gi true
% 0.14/0.35 % Computer : n028.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 : Wed Oct 1 12:58:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/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
% 0.56/0.66 % Total configuration time : 828
% 0.56/0.66 % Estimated wc time : 1656
% 0.56/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.79 % Solved by lams/35_full_unif4.sh.
% 0.58/0.79 % done 58 iterations in 0.053s
% 0.58/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.79 % SZS output start Refutation
% 0.58/0.79 thf(a_type, type, a: $tType).
% 0.58/0.79 thf('#sk6_type', type, '#sk6': a).
% 0.58/0.79 thf('#sk4_type', type, '#sk4': a).
% 0.58/0.79 thf('#sk1_type', type, '#sk1': a > $o).
% 0.58/0.79 thf('#sk2_type', type, '#sk2': a > $o).
% 0.58/0.79 thf('#sk3_type', type, '#sk3': a > $o).
% 0.58/0.79 thf('#sk5_type', type, '#sk5': a).
% 0.58/0.79 thf('#form7_type', type, '#form7': $o).
% 0.58/0.79 thf(cBOOL_PROP_100_pme, conjecture,
% 0.58/0.79 (![X:( a > $o ),Y:( a > $o ),Z:( a > $o )]:
% 0.58/0.79 ( ( ?[Xx:a]: ( ( X @ Xx ) & ( ( Y @ Xx ) | ( Z @ Xx ) ) ) ) <=>
% 0.58/0.79 ( ( ?[Xx:a]: ( ( X @ Xx ) & ( Z @ Xx ) ) ) |
% 0.58/0.79 ( ?[Xx:a]: ( ( X @ Xx ) & ( Y @ Xx ) ) ) ) ))).
% 0.58/0.79 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.79 (~( ![X:( a > $o ),Y:( a > $o ),Z:( a > $o )]:
% 0.58/0.79 ( ( ?[Xx:a]: ( ( X @ Xx ) & ( ( Y @ Xx ) | ( Z @ Xx ) ) ) ) <=>
% 0.58/0.79 ( ( ?[Xx:a]: ( ( X @ Xx ) & ( Z @ Xx ) ) ) |
% 0.58/0.79 ( ?[Xx:a]: ( ( X @ Xx ) & ( Y @ Xx ) ) ) ) ) )),
% 0.58/0.79 inference('cnf.neg', [status(esa)], [cBOOL_PROP_100_pme])).
% 0.58/0.79 thf(zip_derived_cl0, plain,
% 0.58/0.79 (~ (((!!) @ (^[Y0 : a > $o]:
% 0.58/0.79 (((!!) @ (^[Y1 : a > $o]:
% 0.58/0.79 (((!!) @ (^[Y2 : a > $o]:
% 0.58/0.79 (((((??) @ (^[Y3 : a]:
% 0.58/0.79 (((Y0 @ Y3) &
% 0.58/0.79 (((Y1 @ Y3) |
% 0.58/0.79 (Y2 @ Y3)))))))) <=>
% 0.58/0.79 (((((??) @ (^[Y3 : a]:
% 0.58/0.79 (((Y0 @ Y3) &
% 0.58/0.79 (Y2 @ Y3)))))) |
% 0.58/0.79 (((??) @ (^[Y3 : a]:
% 0.58/0.79 (((Y0 @ Y3) &
% 0.58/0.79 (Y1 @ Y3)))))))))))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.79 thf(zip_derived_cl1, plain,
% 0.58/0.79 (~ (((!!) @ (^[Y0 : a > $o]:
% 0.58/0.79 (((!!) @ (^[Y1 : a > $o]:
% 0.58/0.79 (((((??) @ (^[Y2 : a]:
% 0.58/0.79 ((('#sk1' @ Y2) &
% 0.58/0.79 (((Y0 @ Y2) | (Y1 @ Y2)))))))) <=>
% 0.58/0.79 (((((??) @ (^[Y2 : a]:
% 0.58/0.79 ((('#sk1' @ Y2) & (Y1 @ Y2)))))) |
% 0.58/0.79 (((??) @ (^[Y2 : a]:
% 0.58/0.79 ((('#sk1' @ Y2) & (Y0 @ Y2))))))))))))))))),
% 0.58/0.79 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 0.58/0.79 thf(zip_derived_cl2, plain,
% 0.58/0.79 (~ (((!!) @ (^[Y0 : a > $o]:
% 0.58/0.79 (((((??) @ (^[Y1 : a]:
% 0.58/0.79 ((('#sk1' @ Y1) &
% 0.58/0.79 ((('#sk2' @ Y1) | (Y0 @ Y1)))))))) <=>
% 0.58/0.79 (((((??) @ (^[Y1 : a]: ((('#sk1' @ Y1) & (Y0 @ Y1)))))) |
% 0.58/0.79 (((??) @ (^[Y1 : a]: ((('#sk1' @ Y1) & ('#sk2' @ Y1)))))))))))))),
% 0.58/0.79 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])).
% 0.58/0.79 thf(zip_derived_cl3, plain,
% 0.58/0.79 (~ (((((??) @ (^[Y0 : a]:
% 0.58/0.79 ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0)))))))) <=>
% 0.58/0.79 (((((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk3' @ Y0)))))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0))))))))))),
% 0.58/0.79 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
% 0.58/0.79 thf(zip_derived_cl4, plain,
% 0.58/0.79 (((((??) @ (^[Y0 : a]:
% 0.58/0.79 ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0))))))))
% 0.58/0.79 != (((((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk3' @ Y0)))))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])).
% 0.58/0.79 thf(zip_derived_cl6, plain,
% 0.58/0.79 (((((??) @ (^[Y0 : a]:
% 0.58/0.79 ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0))))))))
% 0.58/0.79 != ((((^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk3' @ Y0)))) @ '#sk4') |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('quantifier_rw', [status(thm)], [zip_derived_cl4])).
% 0.58/0.79 thf(zip_derived_cl7, plain,
% 0.58/0.79 (((((??) @ (^[Y0 : a]:
% 0.58/0.79 ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0))))))))
% 0.58/0.79 != ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('ho_norm', [status(thm)], [zip_derived_cl6])).
% 0.58/0.79 thf(zip_derived_cl9, plain,
% 0.58/0.79 ((((^[Y0 : a]: ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0)))))) @
% 0.58/0.79 '#sk5')
% 0.58/0.79 != ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('quantifier_rw', [status(thm)], [zip_derived_cl7])).
% 0.58/0.79 thf(zip_derived_cl14, plain,
% 0.58/0.79 ((((('#sk1' @ '#sk5') & ((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))))
% 0.58/0.79 != ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('ho_norm', [status(thm)], [zip_derived_cl9])).
% 0.58/0.79 thf(zip_derived_cl14, plain,
% 0.58/0.79 ((((('#sk1' @ '#sk5') & ((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))))
% 0.58/0.79 != ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('ho_norm', [status(thm)], [zip_derived_cl9])).
% 0.58/0.79 thf(zip_derived_cl34, plain,
% 0.58/0.79 (( ((('#sk1' @ '#sk5') & ((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))))
% 0.58/0.79 | ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('eq_elim', [status(thm)], [zip_derived_cl14])).
% 0.58/0.79 thf(zip_derived_cl208, plain,
% 0.58/0.79 (( ('#sk1' @ '#sk5')
% 0.58/0.79 | ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl34])).
% 0.58/0.79 thf(zip_derived_cl210, plain,
% 0.58/0.79 (( ((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4')))
% 0.58/0.79 | (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0))))))
% 0.58/0.79 | ('#sk1' @ '#sk5'))),
% 0.58/0.79 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl208])).
% 0.58/0.79 thf(zip_derived_cl212, plain,
% 0.58/0.79 (( ('#sk1' @ '#sk4')
% 0.58/0.79 | ('#sk1' @ '#sk5')
% 0.58/0.79 | (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl210])).
% 0.58/0.79 thf(zip_derived_cl14, plain,
% 0.58/0.79 ((((('#sk1' @ '#sk5') & ((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))))
% 0.58/0.79 != ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('ho_norm', [status(thm)], [zip_derived_cl9])).
% 0.58/0.79 thf(zip_derived_cl36, plain,
% 0.58/0.79 (( ('#sk3' @ '#sk4')
% 0.58/0.79 | (((('#sk1' @ '#sk5') & ((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))))
% 0.58/0.79 != ((((('#sk1' @ '#sk4') & ($false))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0))))))))))),
% 0.58/0.79 inference('bool_hoist', [status(thm)], [zip_derived_cl14])).
% 0.58/0.79 thf(zip_derived_cl37, plain,
% 0.58/0.79 (( ('#sk3' @ '#sk4')
% 0.58/0.79 | (((('#sk1' @ '#sk5') & ((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))))
% 0.58/0.79 != (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0))))))))),
% 0.58/0.79 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl36])).
% 0.58/0.79 thf(zip_derived_cl45, plain,
% 0.58/0.79 (( ('#sk3' @ '#sk4')
% 0.58/0.79 | (((('#sk1' @ '#sk5') & ((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))))
% 0.58/0.79 != ((^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))) @ '#sk6')))),
% 0.58/0.79 inference('quantifier_rw', [status(thm)], [zip_derived_cl37])).
% 0.58/0.79 thf(zip_derived_cl46, plain,
% 0.58/0.79 (( ('#sk3' @ '#sk4')
% 0.58/0.79 | (((('#sk1' @ '#sk5') & ((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))))
% 0.58/0.79 != ((('#sk1' @ '#sk6') & ('#sk2' @ '#sk6')))))),
% 0.58/0.79 inference('ho_norm', [status(thm)], [zip_derived_cl45])).
% 0.58/0.79 thf(zip_derived_cl55, plain,
% 0.58/0.79 (( ('#sk1' @ '#sk5')
% 0.58/0.79 | ('#sk3' @ '#sk4')
% 0.58/0.79 | (((($false) & ((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))))
% 0.58/0.79 != ((('#sk1' @ '#sk6') & ('#sk2' @ '#sk6')))))),
% 0.58/0.79 inference('bool_hoist', [status(thm)], [zip_derived_cl46])).
% 0.58/0.79 thf(zip_derived_cl56, plain,
% 0.58/0.79 (( ('#sk1' @ '#sk5')
% 0.58/0.79 | ('#sk3' @ '#sk4')
% 0.58/0.79 | ((('#sk1' @ '#sk6') & ('#sk2' @ '#sk6'))))),
% 0.58/0.79 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl55])).
% 0.58/0.79 thf(zip_derived_cl57, plain,
% 0.58/0.79 (( ('#sk1' @ '#sk6') | ('#sk3' @ '#sk4') | ('#sk1' @ '#sk5'))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])).
% 0.58/0.79 thf(zip_derived_cl7, plain,
% 0.58/0.79 (((((??) @ (^[Y0 : a]:
% 0.58/0.79 ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0))))))))
% 0.58/0.79 != ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('ho_norm', [status(thm)], [zip_derived_cl6])).
% 0.58/0.79 thf(zip_derived_cl8, plain,
% 0.58/0.79 (![X-82 : a]:
% 0.58/0.79 (~ ((^[Y0 : a]: ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0)))))) @
% 0.58/0.79 X-82)
% 0.58/0.79 | ~ ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('exists_hoist', [status(thm)], [zip_derived_cl7])).
% 0.58/0.79 thf(zip_derived_cl15, plain,
% 0.58/0.79 (![X-82 : a]:
% 0.58/0.79 (~ ((('#sk1' @ X-82) & ((('#sk2' @ X-82) | ('#sk3' @ X-82)))))
% 0.58/0.79 | ~ ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('ho_norm', [status(thm)], [zip_derived_cl8])).
% 0.58/0.79 thf(zip_derived_cl16, plain,
% 0.58/0.79 (![X0 : a]:
% 0.58/0.79 (~ ((('#sk1' @ X0) & ((('#sk2' @ X0) | ('#sk3' @ X0)))))
% 0.58/0.79 | ~ ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('cannonize vars', [status(thm)], [zip_derived_cl15])).
% 0.58/0.79 thf(zip_derived_cl17, plain,
% 0.58/0.79 (![X0 : a]:
% 0.58/0.79 (~ ('#sk1' @ X0)
% 0.58/0.79 | ~ ((('#sk2' @ X0) | ('#sk3' @ X0)))
% 0.58/0.79 | ~ ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])).
% 0.58/0.79 thf(zip_derived_cl19, plain,
% 0.58/0.79 (![X0 : a]:
% 0.58/0.79 (~ ('#sk2' @ X0)
% 0.58/0.79 | ~ ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0))))))))
% 0.58/0.79 | ~ ('#sk1' @ X0))),
% 0.58/0.79 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])).
% 0.58/0.79 thf(zip_derived_cl23, plain,
% 0.58/0.79 (![X0 : a]:
% 0.58/0.79 (~ (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0))))))
% 0.58/0.79 | ~ ('#sk1' @ X0)
% 0.58/0.79 | ~ ('#sk2' @ X0))),
% 0.58/0.79 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])).
% 0.58/0.79 thf(zip_derived_cl29, plain,
% 0.58/0.79 (![X0 : a, X2 : a]:
% 0.58/0.79 (~ ((('#sk1' @ X2) & ('#sk2' @ X2)))
% 0.58/0.79 | ~ ('#sk2' @ X0)
% 0.58/0.79 | ~ ('#sk1' @ X0))),
% 0.58/0.79 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])).
% 0.58/0.79 thf(zip_derived_cl32, plain,
% 0.58/0.79 (![X0 : a, X2 : a]:
% 0.58/0.79 (~ ('#sk1' @ X2) | ~ ('#sk2' @ X2) | ~ ('#sk1' @ X0) | ~ ('#sk2' @ X0))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl29])).
% 0.58/0.79 thf(zip_derived_cl163, plain,
% 0.58/0.79 (![X0 : a]: (~ ('#sk2' @ X0) | ~ ('#sk1' @ X0) | ~ ('#sk2' @ X0))),
% 0.58/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl32])).
% 0.58/0.79 thf(zip_derived_cl164, plain,
% 0.58/0.79 (![X0 : a]: (~ ('#sk1' @ X0) | ~ ('#sk2' @ X0))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl163])).
% 0.58/0.79 thf(zip_derived_cl172, plain,
% 0.58/0.79 (( ('#sk1' @ '#sk5') | ('#sk3' @ '#sk4') | ~ ('#sk2' @ '#sk6'))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl164])).
% 0.58/0.79 thf(zip_derived_cl58, plain,
% 0.58/0.79 (( ('#sk2' @ '#sk6') | ('#sk3' @ '#sk4') | ('#sk1' @ '#sk5'))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])).
% 0.58/0.79 thf(zip_derived_cl179, plain, (( ('#sk3' @ '#sk4') | ('#sk1' @ '#sk5'))),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl172, zip_derived_cl58])).
% 0.58/0.79 thf(zip_derived_cl4, plain,
% 0.58/0.79 (((((??) @ (^[Y0 : a]:
% 0.58/0.79 ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0))))))))
% 0.58/0.79 != (((((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk3' @ Y0)))))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])).
% 0.58/0.79 thf(zip_derived_cl5, plain,
% 0.58/0.79 (![X-81 : a]:
% 0.58/0.79 (~ ((^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk3' @ Y0)))) @ X-81)
% 0.58/0.79 | ((((??) @ (^[Y0 : a]:
% 0.58/0.79 ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0))))))))
% 0.58/0.79 != ((($true) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0))))))))))),
% 0.58/0.79 inference('exists_hoist', [status(thm)], [zip_derived_cl4])).
% 0.58/0.79 thf(zip_derived_cl10, plain,
% 0.58/0.79 (![X-81 : a]:
% 0.58/0.79 (~ ((('#sk1' @ X-81) & ('#sk3' @ X-81)))
% 0.58/0.79 | ((((??) @ (^[Y0 : a]:
% 0.58/0.79 ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0))))))))
% 0.58/0.79 != ((($true) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0))))))))))),
% 0.58/0.79 inference('ho_norm', [status(thm)], [zip_derived_cl5])).
% 0.58/0.79 thf(zip_derived_cl11, plain,
% 0.58/0.79 (![X-81 : a]:
% 0.58/0.79 (~ ((('#sk1' @ X-81) & ('#sk3' @ X-81)))
% 0.58/0.79 | ~ (((??) @ (^[Y0 : a]:
% 0.58/0.79 ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0)))))))))),
% 0.58/0.79 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl10])).
% 0.58/0.79 thf(zip_derived_cl12, plain,
% 0.58/0.79 (![X0 : a]:
% 0.58/0.79 (~ ((('#sk1' @ X0) & ('#sk3' @ X0)))
% 0.58/0.79 | ~ (((??) @ (^[Y0 : a]:
% 0.58/0.79 ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0)))))))))),
% 0.58/0.79 inference('cannonize vars', [status(thm)], [zip_derived_cl11])).
% 0.58/0.79 thf(zip_derived_cl13, plain,
% 0.58/0.79 (![X0 : a]:
% 0.58/0.79 (~ ('#sk1' @ X0)
% 0.58/0.79 | ~ ('#sk3' @ X0)
% 0.58/0.79 | ~ (((??) @ (^[Y0 : a]:
% 0.58/0.79 ((('#sk1' @ Y0) & ((('#sk2' @ Y0) | ('#sk3' @ Y0)))))))))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])).
% 0.58/0.79 thf(zip_derived_cl18, plain,
% 0.58/0.79 (![X0 : a, X2 : a]:
% 0.58/0.79 (~ ((('#sk1' @ X2) & ((('#sk2' @ X2) | ('#sk3' @ X2)))))
% 0.58/0.79 | ~ ('#sk3' @ X0)
% 0.58/0.79 | ~ ('#sk1' @ X0))),
% 0.58/0.79 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])).
% 0.58/0.79 thf(zip_derived_cl21, plain,
% 0.58/0.79 (![X0 : a, X2 : a]:
% 0.58/0.79 (~ ('#sk1' @ X2)
% 0.58/0.79 | ~ ((('#sk2' @ X2) | ('#sk3' @ X2)))
% 0.58/0.79 | ~ ('#sk1' @ X0)
% 0.58/0.79 | ~ ('#sk3' @ X0))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])).
% 0.58/0.79 thf(zip_derived_cl27, plain,
% 0.58/0.79 (![X0 : a, X2 : a]:
% 0.58/0.79 (~ ('#sk3' @ X2) | ~ ('#sk3' @ X0) | ~ ('#sk1' @ X0) | ~ ('#sk1' @ X2))),
% 0.58/0.79 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl21])).
% 0.58/0.79 thf(zip_derived_cl103, plain,
% 0.58/0.79 (![X0 : a]: (~ ('#sk1' @ X0) | ~ ('#sk1' @ X0) | ~ ('#sk3' @ X0))),
% 0.58/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl27])).
% 0.58/0.79 thf(zip_derived_cl104, plain,
% 0.58/0.79 (![X0 : a]: (~ ('#sk3' @ X0) | ~ ('#sk1' @ X0))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl103])).
% 0.58/0.79 thf(zip_derived_cl183, plain, (( ('#sk1' @ '#sk5') | ~ ('#sk1' @ '#sk4'))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl179, zip_derived_cl104])).
% 0.58/0.79 thf(zip_derived_cl215, plain,
% 0.58/0.79 (( (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0))))))
% 0.58/0.79 | ('#sk1' @ '#sk5'))),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl212, zip_derived_cl183])).
% 0.58/0.79 thf(zip_derived_cl216, plain,
% 0.58/0.79 (( ((('#sk1' @ '#sk6') & ('#sk2' @ '#sk6'))) | ('#sk1' @ '#sk5'))),
% 0.58/0.79 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl215])).
% 0.58/0.79 thf(zip_derived_cl220, plain, (( ('#sk1' @ '#sk6') | ('#sk1' @ '#sk5'))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl216])).
% 0.58/0.79 thf(zip_derived_cl164, plain,
% 0.58/0.79 (![X0 : a]: (~ ('#sk1' @ X0) | ~ ('#sk2' @ X0))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl163])).
% 0.58/0.79 thf(zip_derived_cl231, plain, (( ('#sk1' @ '#sk5') | ~ ('#sk2' @ '#sk6'))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl164])).
% 0.58/0.79 thf(zip_derived_cl221, plain, (( ('#sk2' @ '#sk6') | ('#sk1' @ '#sk5'))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl216])).
% 0.58/0.79 thf(zip_derived_cl271, plain, ( ('#sk1' @ '#sk5')),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl231, zip_derived_cl221])).
% 0.58/0.79 thf(zip_derived_cl272, plain,
% 0.58/0.79 ((((($true) & ((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))))
% 0.58/0.79 != ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl271])).
% 0.58/0.79 thf(zip_derived_cl273, plain,
% 0.58/0.79 ((((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))
% 0.58/0.79 != ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl272])).
% 0.58/0.79 thf(zip_derived_cl271, plain, ( ('#sk1' @ '#sk5')),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl231, zip_derived_cl221])).
% 0.58/0.79 thf(zip_derived_cl164, plain,
% 0.58/0.79 (![X0 : a]: (~ ('#sk1' @ X0) | ~ ('#sk2' @ X0))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl163])).
% 0.58/0.79 thf(zip_derived_cl276, plain, (~ ('#sk2' @ '#sk5')),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl164])).
% 0.58/0.79 thf(zip_derived_cl209, plain,
% 0.58/0.79 (( ((('#sk2' @ '#sk5') | ('#sk3' @ '#sk5')))
% 0.58/0.79 | ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl34])).
% 0.58/0.79 thf(zip_derived_cl211, plain,
% 0.58/0.79 (( ('#sk2' @ '#sk5')
% 0.58/0.79 | ('#sk3' @ '#sk5')
% 0.58/0.79 | ((((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4'))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl209])).
% 0.58/0.79 thf(zip_derived_cl214, plain,
% 0.58/0.79 (( ((('#sk1' @ '#sk4') & ('#sk3' @ '#sk4')))
% 0.58/0.79 | (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0))))))
% 0.58/0.79 | ('#sk3' @ '#sk5')
% 0.58/0.79 | ('#sk2' @ '#sk5'))),
% 0.58/0.79 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl211])).
% 0.58/0.79 thf(zip_derived_cl219, plain,
% 0.58/0.79 (( ('#sk3' @ '#sk4')
% 0.58/0.79 | ('#sk2' @ '#sk5')
% 0.58/0.79 | ('#sk3' @ '#sk5')
% 0.58/0.79 | (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl214])).
% 0.58/0.79 thf(zip_derived_cl179, plain, (( ('#sk3' @ '#sk4') | ('#sk1' @ '#sk5'))),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl172, zip_derived_cl58])).
% 0.58/0.79 thf(zip_derived_cl164, plain,
% 0.58/0.79 (![X0 : a]: (~ ('#sk1' @ X0) | ~ ('#sk2' @ X0))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl163])).
% 0.58/0.79 thf(zip_derived_cl181, plain, (( ('#sk3' @ '#sk4') | ~ ('#sk2' @ '#sk5'))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl179, zip_derived_cl164])).
% 0.58/0.79 thf(zip_derived_cl225, plain,
% 0.58/0.79 (( (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0))))))
% 0.58/0.79 | ('#sk3' @ '#sk5')
% 0.58/0.79 | ('#sk3' @ '#sk4'))),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl219, zip_derived_cl181])).
% 0.58/0.79 thf(zip_derived_cl218, plain,
% 0.58/0.79 (( ('#sk1' @ '#sk4')
% 0.58/0.79 | ('#sk2' @ '#sk5')
% 0.58/0.79 | ('#sk3' @ '#sk5')
% 0.58/0.79 | (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl214])).
% 0.58/0.79 thf(zip_derived_cl222, plain,
% 0.58/0.79 ((~ ('#form7')
% 0.58/0.79 | (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))),
% 0.58/0.79 define([status(thm)])).
% 0.58/0.79 thf(zip_derived_cl226, plain,
% 0.58/0.79 (( ('#form7') | ('#sk3' @ '#sk4') | ('#sk3' @ '#sk5'))),
% 0.58/0.79 inference('renaming', [status(thm)],
% 0.58/0.79 [zip_derived_cl225, zip_derived_cl222])).
% 0.58/0.79 thf(zip_derived_cl222, plain,
% 0.58/0.79 ((~ ('#form7')
% 0.58/0.79 | (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))),
% 0.58/0.79 define([status(thm)])).
% 0.58/0.79 thf(zip_derived_cl223, plain,
% 0.58/0.79 (( ((('#sk1' @ '#sk6') & ('#sk2' @ '#sk6'))) | ~ ('#form7'))),
% 0.58/0.79 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl222])).
% 0.58/0.79 thf(zip_derived_cl228, plain, (( ('#sk2' @ '#sk6') | ~ ('#form7'))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl223])).
% 0.58/0.79 thf(zip_derived_cl227, plain, (( ('#sk1' @ '#sk6') | ~ ('#form7'))),
% 0.58/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl223])).
% 0.58/0.79 thf(zip_derived_cl164, plain,
% 0.58/0.79 (![X0 : a]: (~ ('#sk1' @ X0) | ~ ('#sk2' @ X0))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl163])).
% 0.58/0.79 thf(zip_derived_cl241, plain, ((~ ('#form7') | ~ ('#sk2' @ '#sk6'))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl227, zip_derived_cl164])).
% 0.58/0.79 thf(zip_derived_cl247, plain, (~ ('#form7')),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl228, zip_derived_cl241])).
% 0.58/0.79 thf(zip_derived_cl258, plain, (( ('#sk3' @ '#sk4') | ('#sk3' @ '#sk5'))),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl226, zip_derived_cl247])).
% 0.58/0.79 thf(zip_derived_cl104, plain,
% 0.58/0.79 (![X0 : a]: (~ ('#sk3' @ X0) | ~ ('#sk1' @ X0))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl103])).
% 0.58/0.79 thf(zip_derived_cl259, plain, (( ('#sk3' @ '#sk4') | ~ ('#sk1' @ '#sk5'))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl104])).
% 0.58/0.79 thf(zip_derived_cl271, plain, ( ('#sk1' @ '#sk5')),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl231, zip_derived_cl221])).
% 0.58/0.79 thf(zip_derived_cl278, plain, ( ('#sk3' @ '#sk4')),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl271])).
% 0.58/0.79 thf(zip_derived_cl104, plain,
% 0.58/0.79 (![X0 : a]: (~ ('#sk3' @ X0) | ~ ('#sk1' @ X0))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl103])).
% 0.58/0.79 thf(zip_derived_cl279, plain, (~ ('#sk1' @ '#sk4')),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl278, zip_derived_cl104])).
% 0.58/0.79 thf(zip_derived_cl278, plain, ( ('#sk3' @ '#sk4')),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl271])).
% 0.58/0.79 thf(zip_derived_cl295, plain,
% 0.58/0.79 ((((($false) | ('#sk3' @ '#sk5')))
% 0.58/0.79 != ((((($false) & ($true))) |
% 0.58/0.79 (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl273, zip_derived_cl276, zip_derived_cl279,
% 0.58/0.79 zip_derived_cl278])).
% 0.58/0.79 thf(zip_derived_cl296, plain,
% 0.58/0.79 ((('#sk3' @ '#sk5')
% 0.58/0.79 != (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))),
% 0.58/0.79 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl295])).
% 0.58/0.79 thf(zip_derived_cl296, plain,
% 0.58/0.79 ((('#sk3' @ '#sk5')
% 0.58/0.79 != (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))),
% 0.58/0.79 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl295])).
% 0.58/0.79 thf(zip_derived_cl297, plain,
% 0.58/0.79 (( ('#form7')
% 0.58/0.79 | ~ (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))),
% 0.58/0.79 define([status(thm)])).
% 0.58/0.79 thf(zip_derived_cl222, plain,
% 0.58/0.79 ((~ ('#form7')
% 0.58/0.79 | (((??) @ (^[Y0 : a]: ((('#sk1' @ Y0) & ('#sk2' @ Y0)))))))),
% 0.58/0.79 define([status(thm)])).
% 0.58/0.79 thf(zip_derived_cl299, plain, (~ ((('#sk3' @ '#sk5') = ('#form7')))),
% 0.58/0.79 inference('renaming', [status(thm)],
% 0.58/0.79 [zip_derived_cl296, zip_derived_cl297, zip_derived_cl222])).
% 0.58/0.79 thf(zip_derived_cl300, plain, ((('#sk3' @ '#sk5') != ('#form7'))),
% 0.58/0.79 inference('simplify nested equalities', [status(thm)],
% 0.58/0.79 [zip_derived_cl299])).
% 0.58/0.79 thf(zip_derived_cl247, plain, (~ ('#form7')),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl228, zip_derived_cl241])).
% 0.58/0.79 thf(zip_derived_cl301, plain, ( ('#sk3' @ '#sk5')),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl300, zip_derived_cl247])).
% 0.58/0.79 thf(zip_derived_cl104, plain,
% 0.58/0.79 (![X0 : a]: (~ ('#sk3' @ X0) | ~ ('#sk1' @ X0))),
% 0.58/0.79 inference('simplify', [status(thm)], [zip_derived_cl103])).
% 0.58/0.79 thf(zip_derived_cl304, plain, (~ ('#sk1' @ '#sk5')),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl301, zip_derived_cl104])).
% 0.58/0.79 thf(zip_derived_cl271, plain, ( ('#sk1' @ '#sk5')),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl231, zip_derived_cl221])).
% 0.58/0.79 thf(zip_derived_cl306, plain, ($false),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl304, zip_derived_cl271])).
% 0.58/0.79
% 0.58/0.79 % SZS output end Refutation
% 0.58/0.79
% 0.58/0.79
% 0.58/0.79 % Terminating...
% 0.61/0.86 % Runner terminated.
% 1.74/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------