%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV016^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Lr107DabAm true
% Computer : n031.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 04:57:01 PM UTC 2025
% Result : Theorem 5.69s 1.33s
% Output : Refutation 5.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEV016^5 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Lr107DabAm true
% 0.14/0.35 % Computer : n031.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 15:37:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.55/0.68 % Total configuration time : 828
% 0.55/0.68 % Estimated wc time : 1656
% 0.55/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 5.69/1.33 % Solved by lams/35_full_unif4.sh.
% 5.69/1.33 % done 129 iterations in 0.597s
% 5.69/1.33 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.69/1.33 % SZS output start Refutation
% 5.69/1.33 thf(a_type, type, a: $tType).
% 5.69/1.33 thf('#sk113_type', type, '#sk113': (a > a > $o) > a).
% 5.69/1.33 thf('#sk11_type', type, '#sk11': (a > $o) > a).
% 5.69/1.33 thf('#sk6_type', type, '#sk6': a > a > $o).
% 5.69/1.33 thf('#sk1_type', type, '#sk1': (a > $o) > $o).
% 5.69/1.33 thf('#sk24_type', type, '#sk24': (a > a > $o) > a > $o).
% 5.69/1.33 thf(cTHM262_NEW_pme, conjecture,
% 5.69/1.33 (![P:( ( a > $o ) > $o )]:
% 5.69/1.33 ( ( ( ![Xx:a]:
% 5.69/1.33 ( ?[Xp:( a > $o )]:
% 5.69/1.33 ( ( P @ Xp ) & ( Xp @ Xx ) &
% 5.69/1.33 ( ![Xq:( a > $o )]:
% 5.69/1.33 ( ( ( Xq @ Xx ) & ( P @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) ) ) ) &
% 5.69/1.33 ( ![Xp:( a > $o )]: ( ( P @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) ) =>
% 5.69/1.33 ( ?[Q:( a > a > $o )]:
% 5.69/1.33 ( ( ^[Xs:( a > $o )]:
% 5.69/1.33 ( ?[Xz:a]: ( ( Xs ) = ( ^[Xx:a]: ( Q @ Xx @ Xz ) ) ) ) ) =
% 5.69/1.33 ( P ) ) ) ))).
% 5.69/1.33 thf(zf_stmt_0, negated_conjecture,
% 5.69/1.33 (~( ![P:( ( a > $o ) > $o )]:
% 5.69/1.33 ( ( ( ![Xx:a]:
% 5.69/1.33 ( ?[Xp:( a > $o )]:
% 5.69/1.33 ( ( P @ Xp ) & ( Xp @ Xx ) &
% 5.69/1.33 ( ![Xq:( a > $o )]:
% 5.69/1.33 ( ( ( Xq @ Xx ) & ( P @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) ) ) ) &
% 5.69/1.33 ( ![Xp:( a > $o )]: ( ( P @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) ) =>
% 5.69/1.33 ( ?[Q:( a > a > $o )]:
% 5.69/1.33 ( ( ^[Xs:( a > $o )]:
% 5.69/1.33 ( ?[Xz:a]: ( ( Xs ) = ( ^[Xx:a]: ( Q @ Xx @ Xz ) ) ) ) ) =
% 5.69/1.33 ( P ) ) ) ) )),
% 5.69/1.33 inference('cnf.neg', [status(esa)], [cTHM262_NEW_pme])).
% 5.69/1.33 thf(zip_derived_cl0, plain,
% 5.69/1.33 (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
% 5.69/1.33 (((((((!!) @ (^[Y1 : a]:
% 5.69/1.33 (((??) @ (^[Y2 : a > $o]:
% 5.69/1.33 (((Y0 @ Y2) & (Y2 @ Y1) &
% 5.69/1.33 (((!!) @ (^[Y3 : a > $o]:
% 5.69/1.33 (((((Y3 @ Y1) &
% 5.69/1.33 (Y0 @ Y3))) =>
% 5.69/1.33 (((Y3) = (Y2)))))))))))))))) &
% 5.69/1.33 (((!!) @ (^[Y1 : a > $o]:
% 5.69/1.33 (((Y0 @ Y1) =>
% 5.69/1.33 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))))) =>
% 5.69/1.33 (((??) @ (^[Y1 : a > a > $o]:
% 5.69/1.33 ((((^[Y2 : a > $o]:
% 5.69/1.33 (((??) @ (^[Y3 : a]:
% 5.69/1.33 (((Y2) =
% 5.69/1.33 ((^[Y4 : a]:
% 5.69/1.33 (Y1 @ Y4 @ Y3)))))))))) =
% 5.69/1.33 (Y0)))))))))))),
% 5.69/1.33 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.69/1.33 thf(zip_derived_cl1, plain,
% 5.69/1.33 (~ (((((((!!) @ (^[Y0 : a]:
% 5.69/1.33 (((??) @ (^[Y1 : a > $o]:
% 5.69/1.33 ((('#sk1' @ Y1) & (Y1 @ Y0) &
% 5.69/1.33 (((!!) @ (^[Y2 : a > $o]:
% 5.69/1.33 (((((Y2 @ Y0) & ('#sk1' @
% 5.69/1.33 Y2))) =>
% 5.69/1.33 (((Y2) = (Y1)))))))))))))))) &
% 5.69/1.33 (((!!) @ (^[Y0 : a > $o]:
% 5.69/1.33 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))) =>
% 5.69/1.33 (((??) @ (^[Y0 : a > a > $o]:
% 5.69/1.33 ((((^[Y1 : a > $o]:
% 5.69/1.33 (((??) @ (^[Y2 : a]:
% 5.69/1.33 (((Y1) = ((^[Y3 : a]: (Y0 @ Y3 @ Y2)))))))))) =
% 5.69/1.33 ('#sk1'))))))))),
% 5.69/1.33 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 5.69/1.33 thf(zip_derived_cl2, plain,
% 5.69/1.33 ( (((((!!) @ (^[Y0 : a]:
% 5.69/1.33 (((??) @ (^[Y1 : a > $o]:
% 5.69/1.33 ((('#sk1' @ Y1) & (Y1 @ Y0) &
% 5.69/1.33 (((!!) @ (^[Y2 : a > $o]:
% 5.69/1.33 (((((Y2 @ Y0) & ('#sk1' @ Y2))) =>
% 5.69/1.33 (((Y2) = (Y1)))))))))))))))) &
% 5.69/1.33 (((!!) @ (^[Y0 : a > $o]:
% 5.69/1.33 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))))),
% 5.69/1.33 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 5.69/1.33 thf(zip_derived_cl4, plain,
% 5.69/1.33 ( (((!!) @ (^[Y0 : a]:
% 5.69/1.33 (((??) @ (^[Y1 : a > $o]:
% 5.69/1.33 ((('#sk1' @ Y1) & (Y1 @ Y0) &
% 5.69/1.33 (((!!) @ (^[Y2 : a > $o]:
% 5.69/1.33 (((((Y2 @ Y0) & ('#sk1' @ Y2))) =>
% 5.69/1.33 (((Y2) = (Y1))))))))))))))))),
% 5.69/1.33 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])).
% 5.69/1.33 thf(zip_derived_cl7, plain,
% 5.69/1.33 (![X2 : a]:
% 5.69/1.33 (((??) @ (^[Y0 : a > $o]:
% 5.69/1.33 ((('#sk1' @ Y0) & (Y0 @ X2) &
% 5.69/1.33 (((!!) @ (^[Y1 : a > $o]:
% 5.69/1.33 (((((Y1 @ X2) & ('#sk1' @ Y1))) =>
% 5.69/1.33 (((Y1) = (Y0)))))))))))))),
% 5.69/1.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])).
% 5.69/1.33 thf(zip_derived_cl11, plain,
% 5.69/1.33 (![X2 : a]:
% 5.69/1.33 ((('#sk1' @ ('#sk6' @ X2)) & ('#sk6' @ X2 @ X2) &
% 5.69/1.33 (((!!) @ (^[Y0 : a > $o]:
% 5.69/1.33 (((((Y0 @ X2) & ('#sk1' @ Y0))) =>
% 5.69/1.33 (((Y0) = ('#sk6' @ X2))))))))))),
% 5.69/1.33 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])).
% 5.69/1.33 thf(zip_derived_cl15, plain,
% 5.69/1.33 (![X2 : a]:
% 5.69/1.33 (((!!) @ (^[Y0 : a > $o]:
% 5.69/1.33 (((((Y0 @ X2) & ('#sk1' @ Y0))) =>
% 5.69/1.33 (((Y0) = ('#sk6' @ X2))))))))),
% 5.69/1.33 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 5.69/1.33 thf(zip_derived_cl17, plain,
% 5.69/1.33 (![X2 : a, X4 : a > $o]:
% 5.69/1.33 (((((X4 @ X2) & ('#sk1' @ X4))) => (((X4) = ('#sk6' @ X2)))))),
% 5.69/1.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])).
% 5.69/1.33 thf(zip_derived_cl18, plain,
% 5.69/1.33 (![X0 : a, X1 : a]:
% 5.69/1.33 ((((('#sk6' @ X1 @ X0) & ('#sk1' @ ('#sk6' @ X1)))) =>
% 5.69/1.33 ((('#sk6' @ X1) = ('#sk6' @ X0)))))),
% 5.69/1.33 inference('triggered_bool_instantiation', [status(thm)],
% 5.69/1.33 [zip_derived_cl17])).
% 5.69/1.33 thf(zip_derived_cl13, plain, (![X2 : a]: ('#sk1' @ ('#sk6' @ X2))),
% 5.69/1.33 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 5.69/1.33 thf(zip_derived_cl40, plain,
% 5.69/1.33 (![X0 : a, X1 : a]:
% 5.69/1.33 ((((('#sk6' @ X1 @ X0) & ($true))) =>
% 5.69/1.33 ((('#sk6' @ X1) = ('#sk6' @ X0)))))),
% 5.69/1.33 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl13])).
% 5.69/1.33 thf(zip_derived_cl41, plain,
% 5.69/1.33 (![X0 : a, X1 : a]:
% 5.69/1.33 ((('#sk6' @ X1 @ X0) => ((('#sk6' @ X1) = ('#sk6' @ X0)))))),
% 5.69/1.33 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl40])).
% 5.69/1.33 thf(zip_derived_cl42, plain,
% 5.69/1.33 (![X0 : a, X1 : a]:
% 5.69/1.33 (~ ('#sk6' @ X1 @ X0) | ((('#sk6' @ X1) = ('#sk6' @ X0))))),
% 5.69/1.33 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])).
% 5.69/1.33 thf(zip_derived_cl43, plain,
% 5.69/1.33 (![X0 : a, X1 : a]:
% 5.69/1.33 (~ ('#sk6' @ X1 @ X0) | (('#sk6' @ X1) = ('#sk6' @ X0)))),
% 5.69/1.33 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])).
% 5.69/1.33 thf(zip_derived_cl5, plain,
% 5.69/1.33 ( (((!!) @ (^[Y0 : a > $o]:
% 5.69/1.33 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))),
% 5.69/1.33 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])).
% 5.69/1.33 thf(zip_derived_cl8, plain,
% 5.69/1.33 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))),
% 5.69/1.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
% 5.69/1.33 thf(zip_derived_cl10, plain,
% 5.69/1.33 (![X0 : a]:
% 5.69/1.33 ((('#sk1' @ ('#sk6' @ X0)) =>
% 5.69/1.33 (((??) @ (^[Y0 : a]: ('#sk6' @ X0 @ Y0))))))),
% 5.69/1.33 inference('triggered_bool_instantiation', [status(thm)],
% 5.69/1.33 [zip_derived_cl8])).
% 5.69/1.33 thf(zip_derived_cl13, plain, (![X2 : a]: ('#sk1' @ ('#sk6' @ X2))),
% 5.69/1.33 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 5.69/1.33 thf(zip_derived_cl26, plain,
% 5.69/1.33 (![X0 : a]: ((($true) => (((??) @ (^[Y0 : a]: ('#sk6' @ X0 @ Y0))))))),
% 5.69/1.33 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl13])).
% 5.69/1.33 thf(zip_derived_cl27, plain,
% 5.69/1.33 (![X0 : a]: (((??) @ (^[Y0 : a]: ('#sk6' @ X0 @ Y0))))),
% 5.69/1.33 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl26])).
% 5.69/1.33 thf(zip_derived_cl28, plain,
% 5.69/1.33 (![X0 : a]: ('#sk6' @ X0 @ ('#sk11' @ ('#sk6' @ X0)))),
% 5.69/1.33 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])).
% 5.69/1.33 thf(zip_derived_cl44, plain,
% 5.69/1.33 (![X0 : a]: (('#sk6' @ X0) = ('#sk6' @ ('#sk11' @ ('#sk6' @ X0))))),
% 5.69/1.33 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl28])).
% 5.69/1.33 thf(zip_derived_cl3, plain,
% 5.69/1.33 (~ (((??) @ (^[Y0 : a > a > $o]:
% 5.69/1.33 ((((^[Y1 : a > $o]:
% 5.69/1.33 (((??) @ (^[Y2 : a]:
% 5.69/1.33 (((Y1) = ((^[Y3 : a]: (Y0 @ Y3 @ Y2)))))))))) =
% 5.69/1.33 ('#sk1'))))))),
% 5.69/1.33 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 5.69/1.33 thf(zip_derived_cl6, plain,
% 5.69/1.33 (![X2 : a > a > $o]:
% 5.69/1.33 ~ ((((^[Y0 : a > $o]:
% 5.69/1.33 (((??) @ (^[Y1 : a]: (((Y0) = ((^[Y2 : a]: (X2 @ Y2 @ Y1)))))))))) =
% 5.69/1.33 ('#sk1')))),
% 5.69/1.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])).
% 5.69/1.33 thf(zip_derived_cl9, plain,
% 5.69/1.33 (![X2 : a > a > $o]:
% 5.69/1.33 (((^[Y0 : a > $o]:
% 5.69/1.33 (((??) @ (^[Y1 : a]: (((Y0) = ((^[Y2 : a]: (X2 @ Y2 @ Y1))))))))))
% 5.69/1.33 != ('#sk1'))),
% 5.69/1.33 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])).
% 5.69/1.33 thf(zip_derived_cl24, plain,
% 5.69/1.33 (![X2 : a > a > $o]:
% 5.69/1.33 ((((??) @ (^[Y0 : a]:
% 5.69/1.33 ((((^[Y1 : a]: ('#sk24' @ X2 @ Y1))) =
% 5.69/1.33 ((^[Y1 : a]: (X2 @ Y1 @ Y0))))))))
% 5.69/1.33 != ('#sk1' @ (^[Y0 : a]: ('#sk24' @ X2 @ Y0))))),
% 5.69/1.33 inference('neg_ext', [status(thm)], [zip_derived_cl9])).
% 5.69/1.33 thf(zip_derived_cl25, plain,
% 5.69/1.33 (![X2 : a > a > $o]:
% 5.69/1.33 ((((??) @ (^[Y0 : a]:
% 5.69/1.33 ((('#sk24' @ X2) = ((^[Y1 : a]: (X2 @ Y1 @ Y0))))))))
% 5.69/1.33 != ('#sk1' @ ('#sk24' @ X2)))),
% 5.69/1.33 inference('ho_norm', [status(thm)], [zip_derived_cl24])).
% 5.69/1.33 thf(zip_derived_cl95, plain,
% 5.69/1.33 (![X2 : a > a > $o]:
% 5.69/1.33 (((^[Y0 : a]:
% 5.69/1.33 ((((^[Y1 : a]:
% 5.69/1.33 ('#sk24' @ (^[Y2 : a,Y3 : a]: (X2 @ Y2 @ Y3)) @ Y1))) =
% 5.69/1.33 ((^[Y1 : a]: (X2 @ Y1 @ Y0)))))) @
% 5.69/1.33 ('#sk113' @ X2)) != ('#sk1' @ ('#sk24' @ X2)))),
% 5.69/1.33 inference('quantifier_rw', [status(thm)], [zip_derived_cl25])).
% 5.69/1.33 thf(zip_derived_cl96, plain,
% 5.69/1.33 (![X2 : a > a > $o]:
% 5.69/1.33 (((('#sk24' @ X2) = ((^[Y0 : a]: (X2 @ Y0 @ ('#sk113' @ X2))))))
% 5.69/1.33 != ('#sk1' @ ('#sk24' @ X2)))),
% 5.69/1.33 inference('ho_norm', [status(thm)], [zip_derived_cl95])).
% 5.69/1.33 thf(zip_derived_cl108, plain,
% 5.69/1.33 ((((('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]:
% 5.69/1.33 ('#sk6' @
% 5.69/1.33 ((^[Y2 : a,Y3 : a]:
% 5.69/1.33 ('#sk11' @
% 5.69/1.33 ((^[Y4 : a,Y5 : a,Y6 : a]:
% 5.69/1.33 ('#sk6' @
% 5.69/1.33 ((^[Y7 : a,Y8 : a,Y9 : a]: (Y8)) @ Y4 @ Y5 @ Y6) @
% 5.69/1.33 ((^[Y7 : a,Y8 : a,Y9 : a]: (Y9)) @ Y4 @ Y5 @ Y6))) @
% 5.69/1.33 Y2 @ Y3))) @
% 5.69/1.33 Y0 @ Y1) @
% 5.69/1.33 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1)))) =
% 5.69/1.33 ('#sk6' @
% 5.69/1.33 ('#sk113' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]:
% 5.69/1.33 ('#sk6' @ ('#sk11' @ (^[Y2 : a]: ('#sk6' @ Y1 @ Y2))) @ Y0))))))
% 5.69/1.33 != ('#sk1' @
% 5.69/1.33 ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]:
% 5.69/1.33 ('#sk6' @
% 5.69/1.33 ((^[Y2 : a,Y3 : a]:
% 5.69/1.33 ('#sk11' @
% 5.69/1.33 ((^[Y4 : a,Y5 : a,Y6 : a]:
% 5.69/1.33 ('#sk6' @
% 5.69/1.33 ((^[Y7 : a,Y8 : a,Y9 : a]: (Y8)) @ Y4 @ Y5 @ Y6) @
% 5.69/1.33 ((^[Y7 : a,Y8 : a,Y9 : a]: (Y9)) @ Y4 @ Y5 @ Y6))) @
% 5.69/1.33 Y2 @ Y3))) @
% 5.69/1.33 Y0 @ Y1) @
% 5.69/1.33 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))))))),
% 5.69/1.33 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl96])).
% 5.69/1.33 thf(zip_derived_cl111, plain,
% 5.69/1.33 ((((('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0))) =
% 5.69/1.33 ('#sk6' @
% 5.69/1.33 ('#sk113' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0))))))
% 5.69/1.33 != ('#sk1' @
% 5.69/1.33 ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)))))),
% 5.69/1.33 inference('ho_norm', [status(thm)], [zip_derived_cl108])).
% 5.69/1.33 thf(zip_derived_cl132, plain,
% 5.69/1.33 (((('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)))
% 5.69/1.33 = ('#sk6' @
% 5.69/1.33 ('#sk113' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)))))
% 5.69/1.33 | ('#sk1' @
% 5.69/1.33 ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)))))),
% 5.69/1.33 inference('eq_hoist', [status(thm)], [zip_derived_cl111])).
% 5.69/1.33 thf(zip_derived_cl13, plain, (![X2 : a]: ('#sk1' @ ('#sk6' @ X2))),
% 5.69/1.33 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 5.69/1.33 thf(zip_derived_cl143, plain,
% 5.69/1.33 (( ('#sk1' @
% 5.69/1.33 ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0))))
% 5.69/1.33 | ('#sk1' @
% 5.69/1.33 ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)))))),
% 5.69/1.33 inference('sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl13])).
% 5.69/1.33 thf(zip_derived_cl147, plain,
% 5.69/1.33 ( ('#sk1' @
% 5.69/1.33 ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0))))),
% 5.69/1.33 inference('simplify', [status(thm)], [zip_derived_cl143])).
% 5.69/1.33 thf(zip_derived_cl17, plain,
% 5.69/1.33 (![X2 : a, X4 : a > $o]:
% 5.69/1.33 (((((X4 @ X2) & ('#sk1' @ X4))) => (((X4) = ('#sk6' @ X2)))))),
% 5.69/1.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])).
% 5.69/1.33 thf(zip_derived_cl19, plain,
% 5.69/1.33 (![X2 : a, X4 : a > $o]:
% 5.69/1.33 (~ (((X4 @ X2) & ('#sk1' @ X4))) | (((X4) = ('#sk6' @ X2))))),
% 5.69/1.33 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])).
% 5.69/1.33 thf(zip_derived_cl20, plain,
% 5.69/1.33 (![X2 : a, X4 : a > $o]:
% 5.69/1.33 (~ (((X4 @ X2) & ('#sk1' @ X4))) | ((X4) = ('#sk6' @ X2)))),
% 5.69/1.33 inference('simplify nested equalities', [status(thm)], [zip_derived_cl19])).
% 5.69/1.33 thf(zip_derived_cl21, plain,
% 5.69/1.33 (![X2 : a, X4 : a > $o]:
% 5.69/1.33 (~ (X4 @ X2) | ~ ('#sk1' @ X4) | ((X4) = ('#sk6' @ X2)))),
% 5.69/1.33 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])).
% 5.69/1.33 thf(zip_derived_cl151, plain,
% 5.69/1.33 (![X0 : a]:
% 5.69/1.33 ((('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)))
% 5.69/1.33 = ('#sk6' @ X0))
% 5.69/1.33 | ~ ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)) @
% 5.69/1.33 X0))),
% 5.69/1.33 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl21])).
% 5.69/1.33 thf(zip_derived_cl147, plain,
% 5.69/1.33 ( ('#sk1' @
% 5.69/1.33 ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0))))),
% 5.69/1.33 inference('simplify', [status(thm)], [zip_derived_cl143])).
% 5.69/1.33 thf(zip_derived_cl25, plain,
% 5.69/1.33 (![X2 : a > a > $o]:
% 5.69/1.33 ((((??) @ (^[Y0 : a]:
% 5.69/1.33 ((('#sk24' @ X2) = ((^[Y1 : a]: (X2 @ Y1 @ Y0))))))))
% 5.69/1.33 != ('#sk1' @ ('#sk24' @ X2)))),
% 5.69/1.33 inference('ho_norm', [status(thm)], [zip_derived_cl24])).
% 5.69/1.33 thf(zip_derived_cl94, plain,
% 5.69/1.33 (![X-128 : a, X2 : a > a > $o]:
% 5.69/1.33 (~ ((^[Y0 : a]: ((('#sk24' @ X2) = ((^[Y1 : a]: (X2 @ Y1 @ Y0)))))) @
% 5.69/1.33 X-128)
% 5.69/1.33 | ~ ('#sk1' @ ('#sk24' @ X2)))),
% 5.69/1.33 inference('exists_hoist', [status(thm)], [zip_derived_cl25])).
% 5.69/1.33 thf(zip_derived_cl97, plain,
% 5.69/1.33 (![X-128 : a, X2 : a > a > $o]:
% 5.69/1.33 (~ ((('#sk24' @ X2) = ((^[Y0 : a]: (X2 @ Y0 @ X-128)))))
% 5.69/1.33 | ~ ('#sk1' @ ('#sk24' @ X2)))),
% 5.69/1.33 inference('ho_norm', [status(thm)], [zip_derived_cl94])).
% 5.69/1.33 thf(zip_derived_cl98, plain,
% 5.69/1.33 (![X2 : a > a > $o, X3 : a]:
% 5.69/1.33 (~ ((('#sk24' @ X2) = ((^[Y0 : a]: (X2 @ Y0 @ X3)))))
% 5.69/1.33 | ~ ('#sk1' @ ('#sk24' @ X2)))),
% 5.69/1.33 inference('cannonize vars', [status(thm)], [zip_derived_cl97])).
% 5.69/1.33 thf(zip_derived_cl99, plain,
% 5.69/1.33 (![X2 : a > a > $o, X3 : a]:
% 5.69/1.33 ((('#sk24' @ X2) != ((^[Y0 : a]: (X2 @ Y0 @ X3))))
% 5.69/1.33 | ~ ('#sk1' @ ('#sk24' @ X2)))),
% 5.69/1.33 inference('simplify nested equalities', [status(thm)], [zip_derived_cl98])).
% 5.69/1.33 thf(zip_derived_cl153, plain,
% 5.69/1.33 (![X0 : a]:
% 5.69/1.33 (('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)))
% 5.69/1.33 != ((^[Y0 : a]:
% 5.69/1.33 ((^[Y1 : a,Y2 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y2)) @ Y1)) @
% 5.69/1.33 Y0 @ X0))))),
% 5.69/1.33 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl99])).
% 5.69/1.33 thf(zip_derived_cl154, plain,
% 5.69/1.33 (![X0 : a]:
% 5.69/1.33 (('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)))
% 5.69/1.33 != ('#sk6' @ ('#sk11' @ ('#sk6' @ X0))))),
% 5.69/1.33 inference('ho_norm', [status(thm)], [zip_derived_cl153])).
% 5.69/1.33 thf(zip_derived_cl44, plain,
% 5.69/1.33 (![X0 : a]: (('#sk6' @ X0) = ('#sk6' @ ('#sk11' @ ('#sk6' @ X0))))),
% 5.69/1.33 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl28])).
% 5.69/1.33 thf(zip_derived_cl155, plain,
% 5.69/1.33 (![X0 : a]:
% 5.69/1.33 (('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)))
% 5.69/1.33 != ('#sk6' @ X0))),
% 5.69/1.33 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl44])).
% 5.69/1.33 thf(zip_derived_cl608, plain,
% 5.69/1.33 (![X0 : a]:
% 5.69/1.33 ~ ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)) @ X0)),
% 5.69/1.33 inference('simplify_reflect-', [status(thm)],
% 5.69/1.33 [zip_derived_cl151, zip_derived_cl155])).
% 5.69/1.33 thf(zip_derived_cl147, plain,
% 5.69/1.33 ( ('#sk1' @
% 5.69/1.33 ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0))))),
% 5.69/1.33 inference('simplify', [status(thm)], [zip_derived_cl143])).
% 5.69/1.33 thf(zip_derived_cl8, plain,
% 5.69/1.33 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))),
% 5.69/1.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
% 5.69/1.33 thf(zip_derived_cl12, plain,
% 5.69/1.33 (![X2 : a > $o]: (~ ('#sk1' @ X2) | (((??) @ (^[Y0 : a]: (X2 @ Y0)))))),
% 5.69/1.33 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])).
% 5.69/1.33 thf(zip_derived_cl16, plain,
% 5.69/1.33 (![X2 : a > $o]: ( (X2 @ ('#sk11' @ X2)) | ~ ('#sk1' @ X2))),
% 5.69/1.33 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])).
% 5.69/1.33 thf(zip_derived_cl152, plain,
% 5.69/1.33 ( ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)) @
% 5.69/1.33 ('#sk11' @
% 5.69/1.33 ('#sk24' @
% 5.69/1.33 (^[Y0 : a,Y1 : a]: ('#sk6' @ ('#sk11' @ ('#sk6' @ Y1)) @ Y0)))))),
% 5.69/1.33 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl16])).
% 5.69/1.33 thf(zip_derived_cl609, plain, ($false),
% 5.69/1.33 inference('sup+', [status(thm)], [zip_derived_cl608, zip_derived_cl152])).
% 5.69/1.33
% 5.69/1.33 % SZS output end Refutation
% 5.69/1.33
% 5.69/1.33
% 5.69/1.33 % Terminating...
% 6.16/1.39 % Runner terminated.
% 6.16/1.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------