0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VaBLLc0CQZ true 0.12/0.34 % Computer : n023.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Thu Jul 4 04:48:54 EDT 2024 0.12/0.35 % CPUTime : 0.12/0.35 % Running portfolio for 1440 s 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.12/0.35 % Number of cores: 8 0.12/0.35 % Python version: Python 3.6.8 0.12/0.35 % Running in HO mode 0.50/0.64 % Total configuration time : 828 0.50/0.64 % Estimated wc time : 1656 0.50/0.64 % Estimated cpu time (8 cpus) : 207.0 0.50/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.50/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 51.71/7.09 % Solved by lams/20_acsne_simpl.sh. 51.71/7.09 % done 322 iterations in 6.284s 51.71/7.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 51.71/7.09 % SZS output start Refutation 51.71/7.09 thf(a_type, type, a: $tType). 51.71/7.09 thf('#sk1_type', type, '#sk1': a). 51.71/7.09 thf('#sk365_type', type, '#sk365': (a > $o) > a > $o). 51.71/7.09 thf('#sk189_type', type, '#sk189': a). 51.71/7.09 thf('#sk12_type', type, '#sk12': (a > $o) > (a > $o) > a). 51.71/7.09 thf('#sk194_type', type, '#sk194': a > $o). 51.71/7.09 thf('#sk292_type', type, '#sk292': (a > $o) > a). 51.71/7.09 thf('#sk359_type', type, '#sk359': (a > $o) > a). 51.71/7.09 thf('#form1082_type', type, '#form1082': (a > $o) > $o). 51.71/7.09 thf(cK_type, type, cK: (a > $o) > a > $o). 51.71/7.09 thf('#l_lift15147_type', type, '#l_lift15147': a > $o). 51.71/7.09 thf('#form188_type', type, '#form188': $o). 51.71/7.09 thf(cTHM116_1S, conjecture, 51.71/7.09 (( ![X:( a > $o ),Y:( a > $o )]: 51.71/7.09 ( ( ![Xx:a]: ( ( X @ Xx ) => ( Y @ Xx ) ) ) => 51.71/7.09 ( ![Xx:a]: ( ( cK @ X @ Xx ) => ( cK @ Y @ Xx ) ) ) ) ) => 51.71/7.09 ( ![Xx:a]: 51.71/7.09 ( ( cK @ 51.71/7.09 ( ^[Xx0:a]: 51.71/7.09 ( ?[S:( a > $o )]: 51.71/7.09 ( ( S @ Xx0 ) & 51.71/7.09 ( ![Xx1:a]: ( ( S @ Xx1 ) => ( cK @ S @ Xx1 ) ) ) ) ) ) @ 51.71/7.09 Xx ) => 51.71/7.09 ( ?[S:( a > $o )]: 51.71/7.09 ( ( S @ Xx ) & ( ![Xx0:a]: ( ( S @ Xx0 ) => ( cK @ S @ Xx0 ) ) ) ) ) ) ))). 51.71/7.09 thf(zf_stmt_0, negated_conjecture, 51.71/7.09 (~( ( ![X:( a > $o ),Y:( a > $o )]: 51.71/7.09 ( ( ![Xx:a]: ( ( X @ Xx ) => ( Y @ Xx ) ) ) => 51.71/7.09 ( ![Xx:a]: ( ( cK @ X @ Xx ) => ( cK @ Y @ Xx ) ) ) ) ) => 51.71/7.09 ( ![Xx:a]: 51.71/7.09 ( ( cK @ 51.71/7.09 ( ^[Xx0:a]: 51.71/7.09 ( ?[S:( a > $o )]: 51.71/7.09 ( ( S @ Xx0 ) & 51.71/7.09 ( ![Xx1:a]: ( ( S @ Xx1 ) => ( cK @ S @ Xx1 ) ) ) ) ) ) @ 51.71/7.09 Xx ) => 51.71/7.09 ( ?[S:( a > $o )]: 51.71/7.09 ( ( S @ Xx ) & ( ![Xx0:a]: ( ( S @ Xx0 ) => ( cK @ S @ Xx0 ) ) ) ) ) ) ) )), 51.71/7.09 inference('cnf.neg', [status(esa)], [cTHM116_1S])). 51.71/7.09 thf(zip_derived_cl0, plain, 51.71/7.09 (~ (((((!!) @ (^[Y0 : a > $o]: 51.71/7.09 (((!!) @ (^[Y1 : a > $o]: 51.71/7.09 (((((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y0 @ Y2) => (Y1 @ Y2)))))) => 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((cK @ Y0 @ Y2) => (cK @ 51.71/7.09 Y1 @ Y2)))))))))))))) => 51.71/7.09 (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0) => 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2))))))))))))))))))), 51.71/7.09 inference('cnf', [status(esa)], [zf_stmt_0])). 51.71/7.09 thf(zip_derived_cl1, plain, 51.71/7.09 ( (((!!) @ (^[Y0 : a > $o]: 51.71/7.09 (((!!) @ (^[Y1 : a > $o]: 51.71/7.09 (((((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y0 @ Y2) => (Y1 @ Y2)))))) => 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((cK @ Y0 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2))))))))))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 51.71/7.09 thf(zip_derived_cl3, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 (((!!) @ (^[Y0 : a > $o]: 51.71/7.09 (((((!!) @ (^[Y1 : a]: (((X2 @ Y1) => (Y0 @ Y1)))))) => 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((cK @ X2 @ Y1) => (cK @ Y0 @ Y1)))))))))))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 51.71/7.09 thf(zip_derived_cl23, plain, 51.71/7.09 ( (((!!) @ (^[Y0 : a > $o]: 51.71/7.09 (((((!!) @ (^[Y1 : a]: 51.71/7.09 (((((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => 51.71/7.09 (cK @ Y2 @ Y3))))))))))) => 51.71/7.09 (Y0 @ Y1)))))) => 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y2 : a]: 51.71/7.09 (((??) @ (^[Y3 : a > $o]: 51.71/7.09 (((Y3 @ Y2) & 51.71/7.09 (((!!) @ (^[Y4 : a]: 51.71/7.09 (((Y3 @ Y4) => 51.71/7.09 (cK @ Y3 @ 51.71/7.09 Y4)))))))))))) @ 51.71/7.09 Y1) => (cK @ Y0 @ Y1)))))))))))), 51.71/7.09 inference('triggered_bool_instantiation', [status(thm)], 51.71/7.09 [zip_derived_cl3])). 51.71/7.09 thf(zip_derived_cl102, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 (((((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2))))))))))) => 51.71/7.09 (X2 @ Y0)))))) => 51.71/7.09 (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0) => (cK @ X2 @ Y0))))))))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])). 51.71/7.09 thf(zip_derived_cl105, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 (~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2))))))))))) => 51.71/7.09 (X2 @ Y0)))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0) => (cK @ X2 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl102])). 51.71/7.09 thf(zip_derived_cl106, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 (~ (((((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk359' @ X2)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) => 51.71/7.09 (X2 @ ('#sk359' @ X2)))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0) => (cK @ X2 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl105])). 51.71/7.09 thf(zip_derived_cl107, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 ( (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk359' @ X2)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0) => (cK @ X2 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl106])). 51.71/7.09 thf(zip_derived_cl109, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 ( ((('#sk365' @ X2 @ ('#sk359' @ X2)) & 51.71/7.09 (((!!) @ (^[Y0 : a]: 51.71/7.09 ((('#sk365' @ X2 @ Y0) => (cK @ ('#sk365' @ X2) @ Y0)))))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0) => (cK @ X2 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl107])). 51.71/7.09 thf(zip_derived_cl112, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 ( (((!!) @ (^[Y0 : a]: 51.71/7.09 ((('#sk365' @ X2 @ Y0) => (cK @ ('#sk365' @ X2) @ Y0)))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0) => (cK @ X2 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl109])). 51.71/7.09 thf(zip_derived_cl115, plain, 51.71/7.09 (![X2 : a > $o, X4 : a]: 51.71/7.09 ( ((('#sk365' @ X2 @ X4) => (cK @ ('#sk365' @ X2) @ X4))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0) => (cK @ X2 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl112])). 51.71/7.09 thf(zip_derived_cl117, plain, 51.71/7.09 (![X2 : a > $o, X4 : a]: 51.71/7.09 (~ ('#sk365' @ X2 @ X4) 51.71/7.09 | (cK @ ('#sk365' @ X2) @ X4) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0) => (cK @ X2 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl115])). 51.71/7.09 thf(zip_derived_cl118, plain, 51.71/7.09 (![X2 : a > $o, X4 : a, X6 : a]: 51.71/7.09 ( (((cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X6) => (cK @ X2 @ X6))) 51.71/7.09 | (cK @ ('#sk365' @ X2) @ X4) 51.71/7.09 | ~ ('#sk365' @ X2 @ X4))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl117])). 51.71/7.09 thf(zip_derived_cl119, plain, 51.71/7.09 (![X2 : a > $o, X4 : a, X6 : a]: 51.71/7.09 (~ (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X6) 51.71/7.09 | (cK @ X2 @ X6) 51.71/7.09 | ~ ('#sk365' @ X2 @ X4) 51.71/7.09 | (cK @ ('#sk365' @ X2) @ X4))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl118])). 51.71/7.09 thf(zip_derived_cl2, plain, 51.71/7.09 (~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ Y2 @ 51.71/7.09 Y3)))))))))))) @ 51.71/7.09 Y0) => 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 51.71/7.09 thf(zip_derived_cl4, plain, 51.71/7.09 (~ (((cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 '#sk1') => 51.71/7.09 (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ '#sk1') & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1)))))))))))))), 51.71/7.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 51.71/7.09 thf(zip_derived_cl6, plain, 51.71/7.09 ( (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 '#sk1')), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 51.71/7.09 thf(zip_derived_cl4254, plain, 51.71/7.09 (![X1 : a]: 51.71/7.09 (('#l_lift15147' @ X1) 51.71/7.09 = (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ X1) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl4262, plain, 51.71/7.09 (![X2 : a > $o, X4 : a, X6 : a]: 51.71/7.09 (~ (cK @ '#l_lift15147' @ X6) 51.71/7.09 | (cK @ X2 @ X6) 51.71/7.09 | ~ ('#sk365' @ X2 @ X4) 51.71/7.09 | (cK @ ('#sk365' @ X2) @ X4))), 51.71/7.09 inference('lambda_lifting', [status(thm)], 51.71/7.09 [zip_derived_cl119, zip_derived_cl4254])). 51.71/7.09 thf(zip_derived_cl108, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 (~ (X2 @ ('#sk359' @ X2)) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0) => (cK @ X2 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl106])). 51.71/7.09 thf(zip_derived_cl110, plain, 51.71/7.09 (![X2 : a > $o, X4 : a]: 51.71/7.09 ( (((cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X4) => (cK @ X2 @ X4))) 51.71/7.09 | ~ (X2 @ ('#sk359' @ X2)))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl108])). 51.71/7.09 thf(zip_derived_cl113, plain, 51.71/7.09 (![X2 : a > $o, X4 : a]: 51.71/7.09 (~ (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X4) 51.71/7.09 | (cK @ X2 @ X4) 51.71/7.09 | ~ (X2 @ ('#sk359' @ X2)))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl110])). 51.71/7.09 thf(zip_derived_cl4254, plain, 51.71/7.09 (![X1 : a]: 51.71/7.09 (('#l_lift15147' @ X1) 51.71/7.09 = (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ X1) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl4260, plain, 51.71/7.09 (![X2 : a > $o, X4 : a]: 51.71/7.09 (~ (cK @ '#l_lift15147' @ X4) 51.71/7.09 | (cK @ X2 @ X4) 51.71/7.09 | ~ (X2 @ ('#sk359' @ X2)))), 51.71/7.09 inference('lambda_lifting', [status(thm)], 51.71/7.09 [zip_derived_cl113, zip_derived_cl4254])). 51.71/7.09 thf(zip_derived_cl111, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 ( ('#sk365' @ X2 @ ('#sk359' @ X2)) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0) => (cK @ X2 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl109])). 51.71/7.09 thf(zip_derived_cl114, plain, 51.71/7.09 (![X2 : a > $o, X4 : a]: 51.71/7.09 ( (((cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X4) => (cK @ X2 @ X4))) 51.71/7.09 | ('#sk365' @ X2 @ ('#sk359' @ X2)))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl111])). 51.71/7.09 thf(zip_derived_cl116, plain, 51.71/7.09 (![X2 : a > $o, X4 : a]: 51.71/7.09 (~ (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X4) 51.71/7.09 | (cK @ X2 @ X4) 51.71/7.09 | ('#sk365' @ X2 @ ('#sk359' @ X2)))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 51.71/7.09 thf(zip_derived_cl4254, plain, 51.71/7.09 (![X1 : a]: 51.71/7.09 (('#l_lift15147' @ X1) 51.71/7.09 = (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ X1) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl4261, plain, 51.71/7.09 (![X2 : a > $o, X4 : a]: 51.71/7.09 (~ (cK @ '#l_lift15147' @ X4) 51.71/7.09 | (cK @ X2 @ X4) 51.71/7.09 | ('#sk365' @ X2 @ ('#sk359' @ X2)))), 51.71/7.09 inference('lambda_lifting', [status(thm)], 51.71/7.09 [zip_derived_cl116, zip_derived_cl4254])). 51.71/7.09 thf(zip_derived_cl6, plain, 51.71/7.09 ( (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 '#sk1')), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 51.71/7.09 thf(zip_derived_cl4254, plain, 51.71/7.09 (![X1 : a]: 51.71/7.09 (('#l_lift15147' @ X1) 51.71/7.09 = (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ X1) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl4255, plain, ( (cK @ '#l_lift15147' @ '#sk1')), 51.71/7.09 inference('lambda_lifting', [status(thm)], 51.71/7.09 [zip_derived_cl6, zip_derived_cl4254])). 51.71/7.09 thf(zip_derived_cl3, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 (((!!) @ (^[Y0 : a > $o]: 51.71/7.09 (((((!!) @ (^[Y1 : a]: (((X2 @ Y1) => (Y0 @ Y1)))))) => 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((cK @ X2 @ Y1) => (cK @ Y0 @ Y1)))))))))))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 51.71/7.09 thf(zip_derived_cl5, plain, 51.71/7.09 (![X2 : a > $o, X4 : a > $o]: 51.71/7.09 (((((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (X4 @ Y0)))))) => 51.71/7.09 (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0))))))))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 51.71/7.09 thf(zip_derived_cl8, plain, 51.71/7.09 (![X2 : a > $o, X4 : a > $o]: 51.71/7.09 (~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (X4 @ Y0)))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 51.71/7.09 thf(zip_derived_cl10, plain, 51.71/7.09 (![X2 : a > $o, X4 : a > $o]: 51.71/7.09 (~ (((X2 @ ('#sk12' @ X2 @ X4)) => (X4 @ ('#sk12' @ X2 @ X4)))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 51.71/7.09 thf(zip_derived_cl13, plain, 51.71/7.09 (![X2 : a > $o, X4 : a > $o]: 51.71/7.09 (~ (X4 @ ('#sk12' @ X2 @ X4)) 51.71/7.09 | (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 51.71/7.09 thf(zip_derived_cl16, plain, 51.71/7.09 (![X2 : a > $o, X4 : a > $o, X6 : a]: 51.71/7.09 ( (((cK @ X2 @ X6) => (cK @ X4 @ X6))) | ~ (X4 @ ('#sk12' @ X2 @ X4)))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 51.71/7.09 thf(zip_derived_cl20, plain, 51.71/7.09 (![X2 : a > $o, X4 : a > $o, X6 : a]: 51.71/7.09 (~ (cK @ X2 @ X6) | (cK @ X4 @ X6) | ~ (X4 @ ('#sk12' @ X2 @ X4)))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 51.71/7.09 thf(zip_derived_cl12, plain, 51.71/7.09 (![X2 : a > $o, X4 : a > $o]: 51.71/7.09 ( (X2 @ ('#sk12' @ X2 @ X4)) 51.71/7.09 | (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 51.71/7.09 thf(zip_derived_cl15, plain, 51.71/7.09 (![X2 : a > $o, X4 : a > $o, X6 : a]: 51.71/7.09 ( (((cK @ X2 @ X6) => (cK @ X4 @ X6))) | (X2 @ ('#sk12' @ X2 @ X4)))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 51.71/7.09 thf(zip_derived_cl19, plain, 51.71/7.09 (![X2 : a > $o, X4 : a > $o, X6 : a]: 51.71/7.09 (~ (cK @ X2 @ X6) | (cK @ X4 @ X6) | (X2 @ ('#sk12' @ X2 @ X4)))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 51.71/7.09 thf(zip_derived_cl7, plain, 51.71/7.09 (~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ '#sk1') & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1)))))))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 51.71/7.09 thf(zip_derived_cl9, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 ~ (((X2 @ '#sk1') & 51.71/7.09 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0))))))))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 51.71/7.09 thf(zip_derived_cl11, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 (~ (X2 @ '#sk1') 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))))), 51.71/7.09 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 51.71/7.09 thf(zip_derived_cl14, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 (~ (((X2 @ ('#sk12' @ X2 @ (cK @ X2))) => (cK @ X2 @ 51.71/7.09 ('#sk12' @ X2 @ (cK @ X2))))) 51.71/7.09 | ~ (X2 @ '#sk1'))), 51.71/7.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 51.71/7.09 thf(zip_derived_cl17, plain, 51.71/7.09 (![X2 : a > $o]: ( (X2 @ ('#sk12' @ X2 @ (cK @ X2))) | ~ (X2 @ '#sk1'))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 51.71/7.09 thf(zip_derived_cl18, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 (~ (cK @ X2 @ ('#sk12' @ X2 @ (cK @ X2))) | ~ (X2 @ '#sk1'))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 51.71/7.09 thf(zip_derived_cl4254, plain, 51.71/7.09 (![X1 : a]: 51.71/7.09 (('#l_lift15147' @ X1) 51.71/7.09 = (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ X1) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl5, plain, 51.71/7.09 (![X2 : a > $o, X4 : a > $o]: 51.71/7.09 (((((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (X4 @ Y0)))))) => 51.71/7.09 (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0))))))))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 51.71/7.09 thf(zip_derived_cl22, plain, 51.71/7.09 (![X0 : a > $o]: 51.71/7.09 (((((!!) @ (^[Y0 : a]: 51.71/7.09 (((X0 @ Y0) => 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2)))))))))))))))) => 51.71/7.09 (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0))))))))), 51.71/7.09 inference('triggered_bool_instantiation', [status(thm)], 51.71/7.09 [zip_derived_cl5])). 51.71/7.09 thf(zip_derived_cl85, plain, 51.71/7.09 (![X0 : a > $o]: 51.71/7.09 (~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((X0 @ Y0) => 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2)))))))))))))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 51.71/7.09 thf(zip_derived_cl86, plain, 51.71/7.09 (![X0 : a > $o]: 51.71/7.09 (~ (((X0 @ ('#sk292' @ X0)) => 51.71/7.09 (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl85])). 51.71/7.09 thf(zip_derived_cl88, plain, 51.71/7.09 (![X0 : a > $o]: 51.71/7.09 (~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl86])). 51.71/7.09 thf(zip_derived_cl90, plain, 51.71/7.09 (![X0 : a > $o, X2 : a > $o]: 51.71/7.09 (~ (((X2 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl88])). 51.71/7.09 thf(zip_derived_cl92, plain, 51.71/7.09 (![X0 : a > $o]: 51.71/7.09 (~ (((((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) & 51.71/7.09 (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ 51.71/7.09 Y1 @ Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 inference('triggered_bool_instantiation', [status(thm)], 51.71/7.09 [zip_derived_cl90])). 51.71/7.09 thf(zip_derived_cl247, plain, 51.71/7.09 (![X0 : a > $o]: 51.71/7.09 (~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ 51.71/7.09 Y1 @ Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl92])). 51.71/7.09 thf(zip_derived_cl9, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 ~ (((X2 @ '#sk1') & 51.71/7.09 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0))))))))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 51.71/7.09 thf(zip_derived_cl21, plain, 51.71/7.09 (~ (((((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ '#sk1') & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) & 51.71/7.09 (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0))))))))), 51.71/7.09 inference('triggered_bool_instantiation', [status(thm)], 51.71/7.09 [zip_derived_cl9])). 51.71/7.09 thf(zip_derived_cl50, plain, 51.71/7.09 ((~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ '#sk1') & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 51.71/7.09 thf(zip_derived_cl51, plain, 51.71/7.09 (![X2 : a > $o]: 51.71/7.09 (~ (((X2 @ '#sk1') & 51.71/7.09 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))))) 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ 51.71/7.09 Y1 @ Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl50])). 51.71/7.09 thf(zip_derived_cl54, plain, 51.71/7.09 (( ('#form188') 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl248, plain, 51.71/7.09 (![X0 : a > $o]: 51.71/7.09 (~ ('#form188') 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))) 51.71/7.09 | ~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 inference('renaming', [status(thm)], 51.71/7.09 [zip_derived_cl247, zip_derived_cl54])). 51.71/7.09 thf(zip_derived_cl249, plain, 51.71/7.09 (![X0 : a > $o, X2 : a]: 51.71/7.09 ( (((cK @ X0 @ X2) => (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X2))) 51.71/7.09 | ~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 51.71/7.09 | ~ ('#form188'))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl248])). 51.71/7.09 thf(zip_derived_cl250, plain, 51.71/7.09 (![X0 : a > $o, X2 : a]: 51.71/7.09 (~ (cK @ X0 @ X2) 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X2) 51.71/7.09 | ~ ('#form188') 51.71/7.09 | ~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl249])). 51.71/7.09 thf(zip_derived_cl251, plain, 51.71/7.09 (![X0 : a > $o, X2 : a, X4 : a > $o]: 51.71/7.09 (~ (((X4 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y0 : a]: (((X4 @ Y0) => (cK @ X4 @ Y0)))))))) 51.71/7.09 | ~ ('#form188') 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X2) 51.71/7.09 | ~ (cK @ X0 @ X2))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl250])). 51.71/7.09 thf(zip_derived_cl253, plain, 51.71/7.09 (![X0 : a > $o, X1 : a]: 51.71/7.09 (~ (((((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) & 51.71/7.09 (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ 51.71/7.09 Y1 @ Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))) 51.71/7.09 | ~ ('#form188') 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X1) 51.71/7.09 | ~ (cK @ X0 @ X1))), 51.71/7.09 inference('triggered_bool_instantiation', [status(thm)], 51.71/7.09 [zip_derived_cl251])). 51.71/7.09 thf(zip_derived_cl285, plain, 51.71/7.09 (![X0 : a > $o, X1 : a]: 51.71/7.09 (~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ 51.71/7.09 Y1 @ Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))) 51.71/7.09 | ~ (cK @ X0 @ X1) 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X1) 51.71/7.09 | ~ ('#form188'))), 51.71/7.09 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl253])). 51.71/7.09 thf(zip_derived_cl54, plain, 51.71/7.09 (( ('#form188') 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl286, plain, 51.71/7.09 (![X0 : a > $o, X1 : a]: 51.71/7.09 (~ ('#form188') 51.71/7.09 | ~ ('#form188') 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X1) 51.71/7.09 | ~ (cK @ X0 @ X1) 51.71/7.09 | ~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 inference('renaming', [status(thm)], 51.71/7.09 [zip_derived_cl285, zip_derived_cl54])). 51.71/7.09 thf(zip_derived_cl287, plain, 51.71/7.09 (![X0 : a > $o, X1 : a]: 51.71/7.09 (~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 51.71/7.09 | ~ (cK @ X0 @ X1) 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X1) 51.71/7.09 | ~ ('#form188'))), 51.71/7.09 inference('simplify', [status(thm)], [zip_derived_cl286])). 51.71/7.09 thf(zip_derived_cl288, plain, 51.71/7.09 (![X0 : a > $o, X1 : a, X3 : a > $o]: 51.71/7.09 (~ (((X3 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y0 : a]: (((X3 @ Y0) => (cK @ X3 @ Y0)))))))) 51.71/7.09 | ~ ('#form188') 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X1) 51.71/7.09 | ~ (cK @ X0 @ X1))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl287])). 51.71/7.09 thf(zip_derived_cl290, plain, 51.71/7.09 (![X0 : a > $o, X1 : a]: 51.71/7.09 (~ (((((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) & 51.71/7.09 (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ 51.71/7.09 Y1 @ Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))) 51.71/7.09 | ~ ('#form188') 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X1) 51.71/7.09 | ~ (cK @ X0 @ X1))), 51.71/7.09 inference('triggered_bool_instantiation', [status(thm)], 51.71/7.09 [zip_derived_cl288])). 51.71/7.09 thf(zip_derived_cl303, plain, 51.71/7.09 (![X0 : a > $o, X1 : a]: 51.71/7.09 (~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ 51.71/7.09 Y1 @ Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))) 51.71/7.09 | ~ (cK @ X0 @ X1) 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X1) 51.71/7.09 | ~ ('#form188'))), 51.71/7.09 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl290])). 51.71/7.09 thf(zip_derived_cl304, plain, 51.71/7.09 (![X0 : a > $o]: 51.71/7.09 ( ('#form1082' @ X0) 51.71/7.09 | ~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl305, plain, 51.71/7.09 (![X0 : a > $o, X2 : a > $o]: 51.71/7.09 (~ (((X2 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))))) 51.71/7.09 | ('#form1082' @ X0))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl304])). 51.71/7.09 thf(zip_derived_cl310, plain, 51.71/7.09 (![X0 : a > $o, X2 : a > $o]: 51.71/7.09 (~ (X2 @ ('#sk292' @ X0)) 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))) 51.71/7.09 | ('#form1082' @ X0))), 51.71/7.09 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl305])). 51.71/7.09 thf(zip_derived_cl312, plain, 51.71/7.09 (![X0 : a > $o, X2 : a > $o]: 51.71/7.09 (~ (((X2 @ ('#sk12' @ X2 @ (cK @ X2))) => (cK @ X2 @ 51.71/7.09 ('#sk12' @ X2 @ (cK @ X2))))) 51.71/7.09 | ('#form1082' @ X0) 51.71/7.09 | ~ (X2 @ ('#sk292' @ X0)))), 51.71/7.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl310])). 51.71/7.09 thf(zip_derived_cl313, plain, 51.71/7.09 (![X0 : a > $o, X2 : a > $o]: 51.71/7.09 ( (X2 @ ('#sk12' @ X2 @ (cK @ X2))) 51.71/7.09 | ~ (X2 @ ('#sk292' @ X0)) 51.71/7.09 | ('#form1082' @ X0))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl312])). 51.71/7.09 thf(zip_derived_cl314, plain, 51.71/7.09 (![X0 : a > $o, X2 : a > $o]: 51.71/7.09 (~ (cK @ X2 @ ('#sk12' @ X2 @ (cK @ X2))) 51.71/7.09 | ~ (X2 @ ('#sk292' @ X0)) 51.71/7.09 | ('#form1082' @ X0))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl312])). 51.71/7.09 thf(zip_derived_cl303, plain, 51.71/7.09 (![X0 : a > $o, X1 : a]: 51.71/7.09 (~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ 51.71/7.09 Y1 @ Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))) 51.71/7.09 | ~ (cK @ X0 @ X1) 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X1) 51.71/7.09 | ~ ('#form188'))), 51.71/7.09 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl290])). 51.71/7.09 thf(zip_derived_cl304, plain, 51.71/7.09 (![X0 : a > $o]: 51.71/7.09 ( ('#form1082' @ X0) 51.71/7.09 | ~ (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y1 : a]: 51.71/7.09 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl308, plain, 51.71/7.09 (![X0 : a > $o, X1 : a]: 51.71/7.09 (~ ('#form1082' @ X0) 51.71/7.09 | ~ ('#form188') 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X1) 51.71/7.09 | ~ (cK @ X0 @ X1) 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ 51.71/7.09 Y1 @ Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 inference('renaming', [status(thm)], 51.71/7.09 [zip_derived_cl303, zip_derived_cl304])). 51.71/7.09 thf(zip_derived_cl54, plain, 51.71/7.09 (( ('#form188') 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl309, plain, 51.71/7.09 (![X0 : a > $o, X1 : a]: 51.71/7.09 (~ ('#form188') 51.71/7.09 | ~ (cK @ X0 @ X1) 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X1) 51.71/7.09 | ~ ('#form188') 51.71/7.09 | ~ ('#form1082' @ X0))), 51.71/7.09 inference('renaming', [status(thm)], 51.71/7.09 [zip_derived_cl308, zip_derived_cl54])). 51.71/7.09 thf(zip_derived_cl311, plain, 51.71/7.09 (![X0 : a > $o, X1 : a]: 51.71/7.09 (~ ('#form1082' @ X0) 51.71/7.09 | (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 X1) 51.71/7.09 | ~ (cK @ X0 @ X1) 51.71/7.09 | ~ ('#form188'))), 51.71/7.09 inference('simplify', [status(thm)], [zip_derived_cl309])). 51.71/7.09 thf(zip_derived_cl4254, plain, 51.71/7.09 (![X1 : a]: 51.71/7.09 (('#l_lift15147' @ X1) 51.71/7.09 = (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ X1) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl4263, plain, 51.71/7.09 (![X0 : a > $o, X1 : a]: 51.71/7.09 (~ ('#form1082' @ X0) 51.71/7.09 | (cK @ '#l_lift15147' @ X1) 51.71/7.09 | ~ (cK @ X0 @ X1) 51.71/7.09 | ~ ('#form188'))), 51.71/7.09 inference('lambda_lifting', [status(thm)], 51.71/7.09 [zip_derived_cl311, zip_derived_cl4254])). 51.71/7.09 thf(zip_derived_cl54, plain, 51.71/7.09 (( ('#form188') 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: 51.71/7.09 (((((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ 51.71/7.09 Y2))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl55, plain, 51.71/7.09 ((~ (((((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ '#sk189') & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) => 51.71/7.09 (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 '#sk189'))) 51.71/7.09 | ('#form188'))), 51.71/7.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl54])). 51.71/7.09 thf(zip_derived_cl58, plain, 51.71/7.09 (( (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ '#sk189') & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 51.71/7.09 | ('#form188'))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl55])). 51.71/7.09 thf(zip_derived_cl61, plain, 51.71/7.09 (( ((('#sk194' @ '#sk189') & 51.71/7.09 (((!!) @ (^[Y0 : a]: ((('#sk194' @ Y0) => (cK @ '#sk194' @ Y0)))))))) 51.71/7.09 | ('#form188'))), 51.71/7.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl58])). 51.71/7.09 thf(zip_derived_cl64, plain, (( ('#sk194' @ '#sk189') | ('#form188'))), 51.71/7.09 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl61])). 51.71/7.09 thf(zip_derived_cl59, plain, 51.71/7.09 ((~ (cK @ 51.71/7.09 (^[Y0 : a]: 51.71/7.09 (((??) @ (^[Y1 : a > $o]: 51.71/7.09 (((Y1 @ Y0) & 51.71/7.09 (((!!) @ (^[Y2 : a]: 51.71/7.09 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.09 '#sk189') 51.71/7.09 | ('#form188'))), 51.71/7.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl55])). 51.71/7.09 thf(zip_derived_cl4254, plain, 51.71/7.09 (![X1 : a]: 51.71/7.09 (('#l_lift15147' @ X1) 51.71/7.09 = (((??) @ (^[Y0 : a > $o]: 51.71/7.09 (((Y0 @ X1) & 51.71/7.09 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.09 define([status(thm)])). 51.71/7.09 thf(zip_derived_cl4256, plain, 51.71/7.09 ((~ (cK @ '#l_lift15147' @ '#sk189') | ('#form188'))), 51.71/7.09 inference('lambda_lifting', [status(thm)], 51.71/7.09 [zip_derived_cl59, zip_derived_cl4254])). 51.71/7.09 thf(zip_derived_cl90, plain, 51.71/7.09 (![X0 : a > $o, X2 : a > $o]: 51.71/7.09 (~ (((X2 @ ('#sk292' @ X0)) & 51.71/7.09 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl88])). 51.71/7.09 thf(zip_derived_cl94, plain, 51.71/7.09 (![X0 : a > $o, X2 : a > $o]: 51.71/7.09 (~ (X2 @ ('#sk292' @ X0)) 51.71/7.09 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))))), 51.71/7.09 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl90])). 51.71/7.09 thf(zip_derived_cl95, plain, 51.71/7.09 (![X0 : a > $o, X2 : a > $o]: 51.71/7.09 (~ (((X2 @ ('#sk12' @ X2 @ (cK @ X2))) => (cK @ X2 @ 51.71/7.09 ('#sk12' @ X2 @ (cK @ X2))))) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.09 (^[Y1 : a]: 51.71/7.09 (((??) @ (^[Y2 : a > $o]: 51.71/7.09 (((Y2 @ Y1) & 51.71/7.09 (((!!) @ (^[Y3 : a]: 51.71/7.09 (((Y2 @ Y3) => (cK @ 51.71/7.09 Y2 @ Y3)))))))))))) @ 51.71/7.09 Y0)))))) 51.71/7.09 | ~ (X2 @ ('#sk292' @ X0)))), 51.71/7.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl94])). 51.71/7.09 thf(zip_derived_cl96, plain, 51.71/7.09 (![X0 : a > $o, X2 : a > $o]: 51.71/7.09 ( (X2 @ ('#sk12' @ X2 @ (cK @ X2))) 51.71/7.09 | ~ (X2 @ ('#sk292' @ X0)) 51.71/7.09 | (((!!) @ (^[Y0 : a]: 51.71/7.09 (((cK @ X0 @ Y0) => (cK @ 51.71/7.10 (^[Y1 : a]: 51.71/7.10 (((??) @ (^[Y2 : a > $o]: 51.71/7.10 (((Y2 @ Y1) & 51.71/7.10 (((!!) @ (^[Y3 : a]: 51.71/7.10 (((Y2 @ Y3) => (cK @ 51.71/7.10 Y2 @ Y3)))))))))))) @ 51.71/7.10 Y0)))))))), 51.71/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl95])). 51.71/7.10 thf(zip_derived_cl98, plain, 51.71/7.10 (![X0 : a > $o, X2 : a > $o, X4 : a]: 51.71/7.10 ( (((cK @ X0 @ X4) => (cK @ 51.71/7.10 (^[Y0 : a]: 51.71/7.10 (((??) @ (^[Y1 : a > $o]: 51.71/7.10 (((Y1 @ Y0) & 51.71/7.10 (((!!) @ (^[Y2 : a]: 51.71/7.10 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.10 X4))) 51.71/7.10 | ~ (X2 @ ('#sk292' @ X0)) 51.71/7.10 | (X2 @ ('#sk12' @ X2 @ (cK @ X2))))), 51.71/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl96])). 51.71/7.10 thf(zip_derived_cl100, plain, 51.71/7.10 (![X0 : a > $o, X2 : a > $o, X4 : a]: 51.71/7.10 (~ (cK @ X0 @ X4) 51.71/7.10 | (cK @ 51.71/7.10 (^[Y0 : a]: 51.71/7.10 (((??) @ (^[Y1 : a > $o]: 51.71/7.10 (((Y1 @ Y0) & 51.71/7.10 (((!!) @ (^[Y2 : a]: 51.71/7.10 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.10 X4) 51.71/7.10 | (X2 @ ('#sk12' @ X2 @ (cK @ X2))) 51.71/7.10 | ~ (X2 @ ('#sk292' @ X0)))), 51.71/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl98])). 51.71/7.10 thf(zip_derived_cl4254, plain, 51.71/7.10 (![X1 : a]: 51.71/7.10 (('#l_lift15147' @ X1) 51.71/7.10 = (((??) @ (^[Y0 : a > $o]: 51.71/7.10 (((Y0 @ X1) & 51.71/7.10 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.10 define([status(thm)])). 51.71/7.10 thf(zip_derived_cl4258, plain, 51.71/7.10 (![X0 : a > $o, X2 : a > $o, X4 : a]: 51.71/7.10 (~ (cK @ X0 @ X4) 51.71/7.10 | (cK @ '#l_lift15147' @ X4) 51.71/7.10 | (X2 @ ('#sk12' @ X2 @ (cK @ X2))) 51.71/7.10 | ~ (X2 @ ('#sk292' @ X0)))), 51.71/7.10 inference('lambda_lifting', [status(thm)], 51.71/7.10 [zip_derived_cl100, zip_derived_cl4254])). 51.71/7.10 thf(zip_derived_cl97, plain, 51.71/7.10 (![X0 : a > $o, X2 : a > $o]: 51.71/7.10 (~ (cK @ X2 @ ('#sk12' @ X2 @ (cK @ X2))) 51.71/7.10 | ~ (X2 @ ('#sk292' @ X0)) 51.71/7.10 | (((!!) @ (^[Y0 : a]: 51.71/7.10 (((cK @ X0 @ Y0) => (cK @ 51.71/7.10 (^[Y1 : a]: 51.71/7.10 (((??) @ (^[Y2 : a > $o]: 51.71/7.10 (((Y2 @ Y1) & 51.71/7.10 (((!!) @ (^[Y3 : a]: 51.71/7.10 (((Y2 @ Y3) => (cK @ 51.71/7.10 Y2 @ Y3)))))))))))) @ 51.71/7.10 Y0)))))))), 51.71/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl95])). 51.71/7.10 thf(zip_derived_cl99, plain, 51.71/7.10 (![X0 : a > $o, X2 : a > $o, X4 : a]: 51.71/7.10 ( (((cK @ X0 @ X4) => (cK @ 51.71/7.10 (^[Y0 : a]: 51.71/7.10 (((??) @ (^[Y1 : a > $o]: 51.71/7.10 (((Y1 @ Y0) & 51.71/7.10 (((!!) @ (^[Y2 : a]: 51.71/7.10 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.10 X4))) 51.71/7.10 | ~ (X2 @ ('#sk292' @ X0)) 51.71/7.10 | ~ (cK @ X2 @ ('#sk12' @ X2 @ (cK @ X2))))), 51.71/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl97])). 51.71/7.10 thf(zip_derived_cl101, plain, 51.71/7.10 (![X0 : a > $o, X2 : a > $o, X4 : a]: 51.71/7.10 (~ (cK @ X0 @ X4) 51.71/7.10 | (cK @ 51.71/7.10 (^[Y0 : a]: 51.71/7.10 (((??) @ (^[Y1 : a > $o]: 51.71/7.10 (((Y1 @ Y0) & 51.71/7.10 (((!!) @ (^[Y2 : a]: 51.71/7.10 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.10 X4) 51.71/7.10 | ~ (cK @ X2 @ ('#sk12' @ X2 @ (cK @ X2))) 51.71/7.10 | ~ (X2 @ ('#sk292' @ X0)))), 51.71/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl99])). 51.71/7.10 thf(zip_derived_cl4254, plain, 51.71/7.10 (![X1 : a]: 51.71/7.10 (('#l_lift15147' @ X1) 51.71/7.10 = (((??) @ (^[Y0 : a > $o]: 51.71/7.10 (((Y0 @ X1) & 51.71/7.10 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.10 define([status(thm)])). 51.71/7.10 thf(zip_derived_cl4259, plain, 51.71/7.10 (![X0 : a > $o, X2 : a > $o, X4 : a]: 51.71/7.10 (~ (cK @ X0 @ X4) 51.71/7.10 | (cK @ '#l_lift15147' @ X4) 51.71/7.10 | ~ (cK @ X2 @ ('#sk12' @ X2 @ (cK @ X2))) 51.71/7.10 | ~ (X2 @ ('#sk292' @ X0)))), 51.71/7.10 inference('lambda_lifting', [status(thm)], 51.71/7.10 [zip_derived_cl101, zip_derived_cl4254])). 51.71/7.10 thf(zip_derived_cl65, plain, 51.71/7.10 (( (((!!) @ (^[Y0 : a]: ((('#sk194' @ Y0) => (cK @ '#sk194' @ Y0)))))) 51.71/7.10 | ('#form188'))), 51.71/7.10 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl61])). 51.71/7.10 thf(zip_derived_cl68, plain, 51.71/7.10 (![X2 : a]: 51.71/7.10 ( ((('#sk194' @ X2) => (cK @ '#sk194' @ X2))) | ('#form188'))), 51.71/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl65])). 51.71/7.10 thf(zip_derived_cl69, plain, 51.71/7.10 (![X2 : a]: (~ ('#sk194' @ X2) | (cK @ '#sk194' @ X2) | ('#form188'))), 51.71/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl68])). 51.71/7.10 thf(zip_derived_cl87, plain, 51.71/7.10 (![X0 : a > $o]: 51.71/7.10 ( (X0 @ ('#sk292' @ X0)) 51.71/7.10 | (((!!) @ (^[Y0 : a]: 51.71/7.10 (((cK @ X0 @ Y0) => (cK @ 51.71/7.10 (^[Y1 : a]: 51.71/7.10 (((??) @ (^[Y2 : a > $o]: 51.71/7.10 (((Y2 @ Y1) & 51.71/7.10 (((!!) @ (^[Y3 : a]: 51.71/7.10 (((Y2 @ Y3) => (cK @ 51.71/7.10 Y2 @ Y3)))))))))))) @ 51.71/7.10 Y0)))))))), 51.71/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl86])). 51.71/7.10 thf(zip_derived_cl89, plain, 51.71/7.10 (![X0 : a > $o, X2 : a]: 51.71/7.10 ( (((cK @ X0 @ X2) => (cK @ 51.71/7.10 (^[Y0 : a]: 51.71/7.10 (((??) @ (^[Y1 : a > $o]: 51.71/7.10 (((Y1 @ Y0) & 51.71/7.10 (((!!) @ (^[Y2 : a]: 51.71/7.10 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.10 X2))) 51.71/7.10 | (X0 @ ('#sk292' @ X0)))), 51.71/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl87])). 51.71/7.10 thf(zip_derived_cl93, plain, 51.71/7.10 (![X0 : a > $o, X2 : a]: 51.71/7.10 (~ (cK @ X0 @ X2) 51.71/7.10 | (cK @ 51.71/7.10 (^[Y0 : a]: 51.71/7.10 (((??) @ (^[Y1 : a > $o]: 51.71/7.10 (((Y1 @ Y0) & 51.71/7.10 (((!!) @ (^[Y2 : a]: 51.71/7.10 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 51.71/7.10 X2) 51.71/7.10 | (X0 @ ('#sk292' @ X0)))), 51.71/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl89])). 51.71/7.10 thf(zip_derived_cl4254, plain, 51.71/7.10 (![X1 : a]: 51.71/7.10 (('#l_lift15147' @ X1) 51.71/7.10 = (((??) @ (^[Y0 : a > $o]: 51.71/7.10 (((Y0 @ X1) & 51.71/7.10 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 51.71/7.10 define([status(thm)])). 51.71/7.10 thf(zip_derived_cl4257, plain, 51.71/7.10 (![X0 : a > $o, X2 : a]: 51.71/7.10 (~ (cK @ X0 @ X2) 51.71/7.10 | (cK @ '#l_lift15147' @ X2) 51.71/7.10 | (X0 @ ('#sk292' @ X0)))), 51.71/7.10 inference('lambda_lifting', [status(thm)], 51.71/7.10 [zip_derived_cl93, zip_derived_cl4254])). 51.71/7.10 thf(zip_derived_cl4273, plain, ($false), 51.71/7.10 inference('eprover', [status(thm)], 51.71/7.10 [zip_derived_cl4262, zip_derived_cl4260, zip_derived_cl4261, 51.71/7.10 zip_derived_cl4255, zip_derived_cl20, zip_derived_cl19, 51.71/7.10 zip_derived_cl17, zip_derived_cl18, zip_derived_cl4254, 51.71/7.10 zip_derived_cl313, zip_derived_cl314, zip_derived_cl4263, 51.71/7.10 zip_derived_cl64, zip_derived_cl4256, zip_derived_cl4258, 51.71/7.10 zip_derived_cl4259, zip_derived_cl69, zip_derived_cl4257])). 51.71/7.10 51.71/7.10 % SZS output end Refutation 51.71/7.10 51.71/7.10 51.71/7.10 % Terminating... 52.17/7.18 % Runner terminated. 52.17/7.19 % Zipperpin 1.5 exiting 52.17/7.21 EOF