0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.heWwIujmnO true 0.10/0.38 % Computer : n003.cluster.edu 0.10/0.38 % Model : x86_64 x86_64 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.38 % Memory : 8046.5625MB 0.10/0.38 % OS : Linux 6.8.0-71-generic 0.10/0.38 % CPULimit : 1440 0.10/0.38 % WCLimit : 180 0.10/0.38 % DateTime : Mon Jul 27 09:31:23 UTC 2026 0.10/0.39 % CPUTime : 0.10/0.39 % Running portfolio for 1440 s 0.10/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.39 % Number of cores: 8 0.10/0.39 % Python version: Python 3.12.3 0.10/0.39 % Running in HO mode 0.35/0.62 % Total configuration time : 828 0.35/0.62 % Estimated wc time : 1656 0.35/0.62 % Estimated cpu time (8 cpus) : 207.0 0.40/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.41/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.41/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.41/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.41/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.41/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.41/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.42/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 81.57/11.06 % Solved by lams/20_acsne_simpl.sh. 81.57/11.06 % done 309 iterations in 10.148s 81.57/11.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 81.57/11.06 % SZS output start Refutation 81.57/11.06 thf(a_type, type, a: $tType). 81.57/11.06 thf('#sk1_type', type, '#sk1': a). 81.57/11.06 thf('#sk12_type', type, '#sk12': (a > $o) > (a > $o) > a). 81.57/11.06 thf('#l_lift15969_type', type, '#l_lift15969': a > $o). 81.57/11.06 thf('#sk55_type', type, '#sk55': (a > $o) > a). 81.57/11.06 thf('#sk61_type', type, '#sk61': (a > $o) > a > $o). 81.57/11.06 thf(cK_type, type, cK: (a > $o) > a > $o). 81.57/11.06 thf('#sk101_type', type, '#sk101': (a > $o) > a). 81.57/11.06 thf('#form366_type', type, '#form366': (a > $o) > $o). 81.57/11.06 thf('#form193_type', type, '#form193': $o). 81.57/11.06 thf(cTHM116_C_pme, conjecture, 81.57/11.06 (( ![Y:( a > $o ),X:( a > $o )]: 81.57/11.06 ( ( ![Xx:a]: ( ( X @ Xx ) => ( Y @ Xx ) ) ) => 81.57/11.06 ( ![Xx:a]: ( ( cK @ X @ Xx ) => ( cK @ Y @ Xx ) ) ) ) ) => 81.57/11.06 ( ![Xx:a]: 81.57/11.06 ( ( cK @ 81.57/11.06 ( ^[Xx0:a]: 81.57/11.06 ( ?[S:( a > $o )]: 81.57/11.06 ( ( S @ Xx0 ) & 81.57/11.06 ( ![Xx1:a]: ( ( S @ Xx1 ) => ( cK @ S @ Xx1 ) ) ) ) ) ) @ 81.57/11.06 Xx ) <=> 81.57/11.06 ( ?[S:( a > $o )]: 81.57/11.06 ( ( ![Xx0:a]: ( ( S @ Xx0 ) => ( cK @ S @ Xx0 ) ) ) & ( S @ Xx ) ) ) ) ))). 81.57/11.06 thf(zf_stmt_0, negated_conjecture, 81.57/11.06 (~( ( ![Y:( a > $o ),X:( a > $o )]: 81.57/11.06 ( ( ![Xx:a]: ( ( X @ Xx ) => ( Y @ Xx ) ) ) => 81.57/11.06 ( ![Xx:a]: ( ( cK @ X @ Xx ) => ( cK @ Y @ Xx ) ) ) ) ) => 81.57/11.06 ( ![Xx:a]: 81.57/11.06 ( ( cK @ 81.57/11.06 ( ^[Xx0:a]: 81.57/11.06 ( ?[S:( a > $o )]: 81.57/11.06 ( ( S @ Xx0 ) & 81.57/11.06 ( ![Xx1:a]: ( ( S @ Xx1 ) => ( cK @ S @ Xx1 ) ) ) ) ) ) @ 81.57/11.06 Xx ) <=> 81.57/11.06 ( ?[S:( a > $o )]: 81.57/11.06 ( ( ![Xx0:a]: ( ( S @ Xx0 ) => ( cK @ S @ Xx0 ) ) ) & ( S @ Xx ) ) ) ) ) )), 81.57/11.06 inference('cnf.neg', [status(esa)], [cTHM116_C_pme])). 81.57/11.06 thf(zip_derived_cl0, plain, 81.57/11.06 (~ (((((!!) @ (^[Y0 : a > $o]: 81.57/11.06 (((!!) @ (^[Y1 : a > $o]: 81.57/11.06 (((((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (Y0 @ Y2)))))) => 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((cK @ Y1 @ Y2) => (cK @ 81.57/11.06 Y0 @ Y2)))))))))))))) => 81.57/11.06 (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0) <=> 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ 81.57/11.06 Y2)))))) & 81.57/11.06 (Y1 @ Y0)))))))))))))), 81.57/11.06 inference('cnf', [status(esa)], [zf_stmt_0])). 81.57/11.06 thf(zip_derived_cl1, plain, 81.57/11.06 ( (((!!) @ (^[Y0 : a > $o]: 81.57/11.06 (((!!) @ (^[Y1 : a > $o]: 81.57/11.06 (((((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (Y0 @ Y2)))))) => 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((cK @ Y1 @ Y2) => (cK @ Y0 @ 81.57/11.06 Y2))))))))))))))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 81.57/11.06 thf(zip_derived_cl3, plain, 81.57/11.06 (![X2 : a > $o]: 81.57/11.06 (((!!) @ (^[Y0 : a > $o]: 81.57/11.06 (((((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (X2 @ Y1)))))) => 81.57/11.06 (((!!) @ (^[Y1 : a]: 81.57/11.06 (((cK @ Y0 @ Y1) => (cK @ X2 @ Y1)))))))))))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 81.57/11.06 thf(zip_derived_cl5, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o]: 81.57/11.06 (((((!!) @ (^[Y0 : a]: (((X4 @ Y0) => (X2 @ Y0)))))) => 81.57/11.06 (((!!) @ (^[Y0 : a]: (((cK @ X4 @ Y0) => (cK @ X2 @ Y0))))))))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 81.57/11.06 thf(zip_derived_cl7, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o]: 81.57/11.06 (~ (((!!) @ (^[Y0 : a]: (((X4 @ Y0) => (X2 @ Y0)))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: (((cK @ X4 @ Y0) => (cK @ X2 @ Y0)))))))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 81.57/11.06 thf(zip_derived_cl8, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o]: 81.57/11.06 (~ (((X4 @ ('#sk12' @ X2 @ X4)) => (X2 @ ('#sk12' @ X2 @ X4)))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: (((cK @ X4 @ Y0) => (cK @ X2 @ Y0)))))))), 81.57/11.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 81.57/11.06 thf(zip_derived_cl10, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o]: 81.57/11.06 (~ (X2 @ ('#sk12' @ X2 @ X4)) 81.57/11.06 | (((!!) @ (^[Y0 : a]: (((cK @ X4 @ Y0) => (cK @ X2 @ Y0)))))))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 81.57/11.06 thf(zip_derived_cl12, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 81.57/11.06 ( (((cK @ X4 @ X6) => (cK @ X2 @ X6))) | ~ (X2 @ ('#sk12' @ X2 @ X4)))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 81.57/11.06 thf(zip_derived_cl14, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 81.57/11.06 (~ (cK @ X4 @ X6) | (cK @ X2 @ X6) | ~ (X2 @ ('#sk12' @ X2 @ X4)))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])). 81.57/11.06 thf(zip_derived_cl3, plain, 81.57/11.06 (![X2 : a > $o]: 81.57/11.06 (((!!) @ (^[Y0 : a > $o]: 81.57/11.06 (((((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (X2 @ Y1)))))) => 81.57/11.06 (((!!) @ (^[Y1 : a]: 81.57/11.06 (((cK @ Y0 @ Y1) => (cK @ X2 @ Y1)))))))))))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 81.57/11.06 thf(zip_derived_cl16, plain, 81.57/11.06 ( (((!!) @ (^[Y0 : a > $o]: 81.57/11.06 (((((!!) @ (^[Y1 : a]: 81.57/11.06 (((Y0 @ Y1) => 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => 81.57/11.06 (cK @ Y2 @ Y3)))))))))))))))) => 81.57/11.06 (((!!) @ (^[Y1 : a]: 81.57/11.06 (((cK @ Y0 @ Y1) => (cK @ 81.57/11.06 (^[Y2 : a]: 81.57/11.06 (((??) @ (^[Y3 : a > $o]: 81.57/11.06 (((Y3 @ Y2) & 81.57/11.06 (((!!) @ (^[Y4 : a]: 81.57/11.06 (((Y3 @ Y4) => 81.57/11.06 (cK @ Y3 @ 81.57/11.06 Y4)))))))))))) @ 81.57/11.06 Y1)))))))))))), 81.57/11.06 inference('triggered_bool_instantiation', [status(thm)], 81.57/11.06 [zip_derived_cl3])). 81.57/11.06 thf(zip_derived_cl32, plain, 81.57/11.06 (![X2 : a > $o]: 81.57/11.06 (((((!!) @ (^[Y0 : a]: 81.57/11.06 (((X2 @ Y0) => 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ 81.57/11.06 Y2)))))))))))))))) => 81.57/11.06 (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X2 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0))))))))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 81.57/11.06 thf(zip_derived_cl34, plain, 81.57/11.06 (![X2 : a > $o]: 81.57/11.06 (~ (((!!) @ (^[Y0 : a]: 81.57/11.06 (((X2 @ Y0) => 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ 81.57/11.06 Y2)))))))))))))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X2 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 81.57/11.06 thf(zip_derived_cl35, plain, 81.57/11.06 (![X2 : a > $o]: 81.57/11.06 (~ (((X2 @ ('#sk101' @ X2)) => 81.57/11.06 (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ ('#sk101' @ X2)) & 81.57/11.06 (((!!) @ (^[Y1 : a]: 81.57/11.06 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X2 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl34])). 81.57/11.06 thf(zip_derived_cl37, plain, 81.57/11.06 (![X2 : a > $o]: 81.57/11.06 (~ (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ ('#sk101' @ X2)) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X2 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])). 81.57/11.06 thf(zip_derived_cl39, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o]: 81.57/11.06 (~ (((X4 @ ('#sk101' @ X2)) & 81.57/11.06 (((!!) @ (^[Y0 : a]: (((X4 @ Y0) => (cK @ X4 @ Y0)))))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X2 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl37])). 81.57/11.06 thf(zip_derived_cl40, plain, 81.57/11.06 (![X0 : a > $o]: 81.57/11.06 (~ (((((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.06 (((!!) @ (^[Y1 : a]: 81.57/11.06 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) & 81.57/11.06 (((!!) @ (^[Y0 : a]: 81.57/11.06 (((((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ 81.57/11.06 Y1 @ Y2))))))))))) => 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X0 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('triggered_bool_instantiation', [status(thm)], 81.57/11.06 [zip_derived_cl39])). 81.57/11.06 thf(zip_derived_cl50, plain, 81.57/11.06 (![X0 : a > $o]: 81.57/11.06 (~ (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 81.57/11.06 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.06 (((((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ 81.57/11.06 Y1 @ Y2))))))))))) => 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X0 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])). 81.57/11.06 thf(zip_derived_cl51, plain, 81.57/11.06 (![X0 : a > $o, X2 : a > $o]: 81.57/11.06 (~ (((X2 @ ('#sk101' @ X0)) & 81.57/11.06 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X0 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))) 81.57/11.06 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.06 (((((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ 81.57/11.06 Y1 @ Y2))))))))))) => 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl50])). 81.57/11.06 thf(zip_derived_cl53, plain, 81.57/11.06 (![X0 : a > $o, X2 : a > $o]: 81.57/11.06 (~ (X2 @ ('#sk101' @ X0)) 81.57/11.06 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))) 81.57/11.06 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.06 (((((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ 81.57/11.06 Y1 @ Y2))))))))))) => 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X0 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl51])). 81.57/11.06 thf(zip_derived_cl54, plain, 81.57/11.06 (![X0 : a > $o, X2 : a > $o]: 81.57/11.06 (~ (((X2 @ ('#sk12' @ (cK @ X2) @ X2)) => (cK @ X2 @ 81.57/11.06 ('#sk12' @ (cK @ X2) @ X2)))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X0 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))) 81.57/11.06 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.06 (((((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ 81.57/11.06 Y1 @ Y2))))))))))) => 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))) 81.57/11.06 | ~ (X2 @ ('#sk101' @ X0)))), 81.57/11.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl53])). 81.57/11.06 thf(zip_derived_cl55, plain, 81.57/11.06 (![X0 : a > $o, X2 : a > $o]: 81.57/11.06 ( (X2 @ ('#sk12' @ (cK @ X2) @ X2)) 81.57/11.06 | ~ (X2 @ ('#sk101' @ X0)) 81.57/11.06 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.06 (((((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ 81.57/11.06 Y1 @ Y2))))))))))) => 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X0 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 81.57/11.06 thf(zip_derived_cl57, plain, 81.57/11.06 (( ('#form193') 81.57/11.06 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.06 (((((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ 81.57/11.06 Y2))))))))))) => 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 define([status(thm)])). 81.57/11.06 thf(zip_derived_cl58, plain, 81.57/11.06 ((~ (((((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ 81.57/11.06 ('#sk55' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3))))))))))))))) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) => 81.57/11.06 (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.06 ('#sk55' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))))))))) 81.57/11.06 | ('#form193'))), 81.57/11.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl57])). 81.57/11.06 thf(zip_derived_cl62, plain, 81.57/11.06 (( (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ 81.57/11.06 ('#sk55' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3))))))))))))))) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 81.57/11.06 | ('#form193'))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 81.57/11.06 thf(zip_derived_cl66, plain, 81.57/11.06 (( ((('#sk61' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))))) @ 81.57/11.06 ('#sk55' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))))))) & 81.57/11.06 (((!!) @ (^[Y0 : a]: 81.57/11.06 ((('#sk61' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3))))))))))))) @ 81.57/11.06 Y0) => (cK @ 81.57/11.06 ('#sk61' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))))) @ 81.57/11.06 Y0)))))))) 81.57/11.06 | ('#form193'))), 81.57/11.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl62])). 81.57/11.06 thf(zip_derived_cl69, plain, 81.57/11.06 (( ('#sk61' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))))) @ 81.57/11.06 ('#sk55' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))))))) 81.57/11.06 | ('#form193'))), 81.57/11.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl66])). 81.57/11.06 thf(zip_derived_cl2, plain, 81.57/11.06 (~ (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ Y2 @ 81.57/11.06 Y3)))))))))))) @ 81.57/11.06 Y0) <=> 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))) & 81.57/11.06 (Y1 @ Y0)))))))))))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 81.57/11.06 thf(zip_derived_cl4, plain, 81.57/11.06 (~ (((cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.06 '#sk1') <=> 81.57/11.06 (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1)))))) & 81.57/11.06 (Y0 @ '#sk1'))))))))), 81.57/11.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 81.57/11.06 thf(zip_derived_cl6, plain, 81.57/11.06 (((cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.06 '#sk1') 81.57/11.06 != (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1)))))) & 81.57/11.06 (Y0 @ '#sk1')))))))), 81.57/11.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl4])). 81.57/11.06 thf(zip_derived_cl4604, plain, 81.57/11.06 (![X1 : a]: 81.57/11.06 (('#l_lift15969' @ X1) 81.57/11.06 = (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ X1) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.06 define([status(thm)])). 81.57/11.06 thf(zip_derived_cl4604, plain, 81.57/11.06 (![X1 : a]: 81.57/11.06 (('#l_lift15969' @ X1) 81.57/11.06 = (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ X1) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.06 define([status(thm)])). 81.57/11.06 thf(zip_derived_cl4613, plain, 81.57/11.06 (( ('#sk61' @ (cK @ '#l_lift15969') @ ('#sk55' @ (cK @ '#l_lift15969'))) 81.57/11.06 | ('#form193'))), 81.57/11.06 inference('lambda_lifting', [status(thm)], 81.57/11.06 [zip_derived_cl69, zip_derived_cl4604, zip_derived_cl4604])). 81.57/11.06 thf(zip_derived_cl63, plain, 81.57/11.06 ((~ (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.06 ('#sk55' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))))))) 81.57/11.06 | ('#form193'))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 81.57/11.06 thf(zip_derived_cl4604, plain, 81.57/11.06 (![X1 : a]: 81.57/11.06 (('#l_lift15969' @ X1) 81.57/11.06 = (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ X1) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.06 define([status(thm)])). 81.57/11.06 thf(zip_derived_cl4604, plain, 81.57/11.06 (![X1 : a]: 81.57/11.06 (('#l_lift15969' @ X1) 81.57/11.06 = (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ X1) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.06 define([status(thm)])). 81.57/11.06 thf(zip_derived_cl4612, plain, 81.57/11.06 ((~ (cK @ '#l_lift15969' @ ('#sk55' @ (cK @ '#l_lift15969'))) 81.57/11.06 | ('#form193'))), 81.57/11.06 inference('lambda_lifting', [status(thm)], 81.57/11.06 [zip_derived_cl63, zip_derived_cl4604, zip_derived_cl4604])). 81.57/11.06 thf(zip_derived_cl9, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o]: 81.57/11.06 ( (X4 @ ('#sk12' @ X2 @ X4)) 81.57/11.06 | (((!!) @ (^[Y0 : a]: (((cK @ X4 @ Y0) => (cK @ X2 @ Y0)))))))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 81.57/11.06 thf(zip_derived_cl11, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 81.57/11.06 ( (((cK @ X4 @ X6) => (cK @ X2 @ X6))) | (X4 @ ('#sk12' @ X2 @ X4)))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 81.57/11.06 thf(zip_derived_cl13, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 81.57/11.06 (~ (cK @ X4 @ X6) | (cK @ X2 @ X6) | (X4 @ ('#sk12' @ X2 @ X4)))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 81.57/11.06 thf(zip_derived_cl70, plain, 81.57/11.06 (( (((!!) @ (^[Y0 : a]: 81.57/11.06 ((('#sk61' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ Y2 @ 81.57/11.06 Y3))))))))))))) @ 81.57/11.06 Y0) => (cK @ 81.57/11.06 ('#sk61' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))))) @ 81.57/11.06 Y0)))))) 81.57/11.06 | ('#form193'))), 81.57/11.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl66])). 81.57/11.06 thf(zip_derived_cl72, plain, 81.57/11.06 (![X2 : a]: 81.57/11.06 ( ((('#sk61' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))))) @ 81.57/11.06 X2) => (cK @ 81.57/11.06 ('#sk61' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))))) @ 81.57/11.06 X2))) 81.57/11.06 | ('#form193'))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl70])). 81.57/11.06 thf(zip_derived_cl73, plain, 81.57/11.06 (![X2 : a]: 81.57/11.06 (~ ('#sk61' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2))))))))))))) @ 81.57/11.06 X2) 81.57/11.06 | (cK @ 81.57/11.06 ('#sk61' @ 81.57/11.06 (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))))) @ 81.57/11.06 X2) 81.57/11.06 | ('#form193'))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl72])). 81.57/11.06 thf(zip_derived_cl4604, plain, 81.57/11.06 (![X1 : a]: 81.57/11.06 (('#l_lift15969' @ X1) 81.57/11.06 = (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ X1) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.06 define([status(thm)])). 81.57/11.06 thf(zip_derived_cl4604, plain, 81.57/11.06 (![X1 : a]: 81.57/11.06 (('#l_lift15969' @ X1) 81.57/11.06 = (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ X1) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.06 define([status(thm)])). 81.57/11.06 thf(zip_derived_cl4614, plain, 81.57/11.06 (![X2 : a]: 81.57/11.06 (~ ('#sk61' @ (cK @ '#l_lift15969') @ X2) 81.57/11.06 | (cK @ ('#sk61' @ (cK @ '#l_lift15969')) @ X2) 81.57/11.06 | ('#form193'))), 81.57/11.06 inference('lambda_lifting', [status(thm)], 81.57/11.06 [zip_derived_cl73, zip_derived_cl4604, zip_derived_cl4604])). 81.57/11.06 thf(zip_derived_cl4604, plain, 81.57/11.06 (![X1 : a]: 81.57/11.06 (('#l_lift15969' @ X1) 81.57/11.06 = (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ X1) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.06 define([status(thm)])). 81.57/11.06 thf(zip_derived_cl39, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o]: 81.57/11.06 (~ (((X4 @ ('#sk101' @ X2)) & 81.57/11.06 (((!!) @ (^[Y0 : a]: (((X4 @ Y0) => (cK @ X4 @ Y0)))))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X2 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl37])). 81.57/11.06 thf(zip_derived_cl42, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o]: 81.57/11.06 (~ (X4 @ ('#sk101' @ X2)) 81.57/11.06 | ~ (((!!) @ (^[Y0 : a]: (((X4 @ Y0) => (cK @ X4 @ Y0)))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X2 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl39])). 81.57/11.06 thf(zip_derived_cl43, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o]: 81.57/11.06 (~ (((X4 @ ('#sk12' @ (cK @ X4) @ X4)) => (cK @ X4 @ 81.57/11.06 ('#sk12' @ (cK @ X4) @ X4)))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X2 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))) 81.57/11.06 | ~ (X4 @ ('#sk101' @ X2)))), 81.57/11.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])). 81.57/11.06 thf(zip_derived_cl44, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o]: 81.57/11.06 ( (X4 @ ('#sk12' @ (cK @ X4) @ X4)) 81.57/11.06 | ~ (X4 @ ('#sk101' @ X2)) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X2 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl43])). 81.57/11.06 thf(zip_derived_cl46, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 81.57/11.06 ( (((cK @ X2 @ X6) => (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.06 X6))) 81.57/11.06 | ~ (X4 @ ('#sk101' @ X2)) 81.57/11.06 | (X4 @ ('#sk12' @ (cK @ X4) @ X4)))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl44])). 81.57/11.06 thf(zip_derived_cl48, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 81.57/11.06 (~ (cK @ X2 @ X6) 81.57/11.06 | (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.06 X6) 81.57/11.06 | (X4 @ ('#sk12' @ (cK @ X4) @ X4)) 81.57/11.06 | ~ (X4 @ ('#sk101' @ X2)))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])). 81.57/11.06 thf(zip_derived_cl4604, plain, 81.57/11.06 (![X1 : a]: 81.57/11.06 (('#l_lift15969' @ X1) 81.57/11.06 = (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ X1) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.06 define([status(thm)])). 81.57/11.06 thf(zip_derived_cl4610, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 81.57/11.06 (~ (cK @ X2 @ X6) 81.57/11.06 | (cK @ '#l_lift15969' @ X6) 81.57/11.06 | (X4 @ ('#sk12' @ (cK @ X4) @ X4)) 81.57/11.06 | ~ (X4 @ ('#sk101' @ X2)))), 81.57/11.06 inference('lambda_lifting', [status(thm)], 81.57/11.06 [zip_derived_cl48, zip_derived_cl4604])). 81.57/11.06 thf(zip_derived_cl45, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o]: 81.57/11.06 (~ (cK @ X4 @ ('#sk12' @ (cK @ X4) @ X4)) 81.57/11.06 | ~ (X4 @ ('#sk101' @ X2)) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X2 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl43])). 81.57/11.06 thf(zip_derived_cl47, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 81.57/11.06 ( (((cK @ X2 @ X6) => (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.06 X6))) 81.57/11.06 | ~ (X4 @ ('#sk101' @ X2)) 81.57/11.06 | ~ (cK @ X4 @ ('#sk12' @ (cK @ X4) @ X4)))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl45])). 81.57/11.06 thf(zip_derived_cl49, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 81.57/11.06 (~ (cK @ X2 @ X6) 81.57/11.06 | (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.06 X6) 81.57/11.06 | ~ (cK @ X4 @ ('#sk12' @ (cK @ X4) @ X4)) 81.57/11.06 | ~ (X4 @ ('#sk101' @ X2)))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 81.57/11.06 thf(zip_derived_cl4604, plain, 81.57/11.06 (![X1 : a]: 81.57/11.06 (('#l_lift15969' @ X1) 81.57/11.06 = (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ X1) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.06 define([status(thm)])). 81.57/11.06 thf(zip_derived_cl4611, plain, 81.57/11.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 81.57/11.06 (~ (cK @ X2 @ X6) 81.57/11.06 | (cK @ '#l_lift15969' @ X6) 81.57/11.06 | ~ (cK @ X4 @ ('#sk12' @ (cK @ X4) @ X4)) 81.57/11.06 | ~ (X4 @ ('#sk101' @ X2)))), 81.57/11.06 inference('lambda_lifting', [status(thm)], 81.57/11.06 [zip_derived_cl49, zip_derived_cl4604])). 81.57/11.06 thf(zip_derived_cl36, plain, 81.57/11.06 (![X2 : a > $o]: 81.57/11.06 ( (X2 @ ('#sk101' @ X2)) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X2 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.06 (((Y2 @ Y1) & 81.57/11.06 (((!!) @ (^[Y3 : a]: 81.57/11.06 (((Y2 @ Y3) => (cK @ 81.57/11.06 Y2 @ Y3)))))))))))) @ 81.57/11.06 Y0)))))))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])). 81.57/11.06 thf(zip_derived_cl38, plain, 81.57/11.06 (![X2 : a > $o, X4 : a]: 81.57/11.06 ( (((cK @ X2 @ X4) => (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.06 X4))) 81.57/11.06 | (X2 @ ('#sk101' @ X2)))), 81.57/11.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl36])). 81.57/11.06 thf(zip_derived_cl41, plain, 81.57/11.06 (![X2 : a > $o, X4 : a]: 81.57/11.06 (~ (cK @ X2 @ X4) 81.57/11.06 | (cK @ 81.57/11.06 (^[Y0 : a]: 81.57/11.06 (((??) @ (^[Y1 : a > $o]: 81.57/11.06 (((Y1 @ Y0) & 81.57/11.06 (((!!) @ (^[Y2 : a]: 81.57/11.06 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.06 X4) 81.57/11.06 | (X2 @ ('#sk101' @ X2)))), 81.57/11.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl38])). 81.57/11.06 thf(zip_derived_cl4604, plain, 81.57/11.06 (![X1 : a]: 81.57/11.06 (('#l_lift15969' @ X1) 81.57/11.06 = (((??) @ (^[Y0 : a > $o]: 81.57/11.06 (((Y0 @ X1) & 81.57/11.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.06 define([status(thm)])). 81.57/11.06 thf(zip_derived_cl4609, plain, 81.57/11.06 (![X2 : a > $o, X4 : a]: 81.57/11.06 (~ (cK @ X2 @ X4) 81.57/11.06 | (cK @ '#l_lift15969' @ X4) 81.57/11.06 | (X2 @ ('#sk101' @ X2)))), 81.57/11.06 inference('lambda_lifting', [status(thm)], 81.57/11.06 [zip_derived_cl41, zip_derived_cl4604])). 81.57/11.06 thf(zip_derived_cl51, plain, 81.57/11.06 (![X0 : a > $o, X2 : a > $o]: 81.57/11.06 (~ (((X2 @ ('#sk101' @ X0)) & 81.57/11.06 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))))) 81.57/11.06 | (((!!) @ (^[Y0 : a]: 81.57/11.06 (((cK @ X0 @ Y0) => (cK @ 81.57/11.06 (^[Y1 : a]: 81.57/11.06 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))) 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ 81.57/11.07 Y1 @ Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))))), 81.57/11.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl50])). 81.57/11.07 thf(zip_derived_cl52, plain, 81.57/11.07 (![X0 : a > $o]: 81.57/11.07 (~ (((((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: 81.57/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) & 81.57/11.07 (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ 81.57/11.07 Y1 @ Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))))) 81.57/11.07 | (((!!) @ (^[Y0 : a]: 81.57/11.07 (((cK @ X0 @ Y0) => (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))) 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ 81.57/11.07 Y1 @ Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))))), 81.57/11.07 inference('triggered_bool_instantiation', [status(thm)], 81.57/11.07 [zip_derived_cl51])). 81.57/11.07 thf(zip_derived_cl74, plain, 81.57/11.07 (![X0 : a > $o]: 81.57/11.07 (~ (((((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: 81.57/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) & 81.57/11.07 ($true))) 81.57/11.07 | (((!!) @ (^[Y0 : a]: 81.57/11.07 (((cK @ X0 @ Y0) => (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))) 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ 81.57/11.07 Y1 @ Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))))), 81.57/11.07 inference('local_rewriting', [status(thm)], [zip_derived_cl52])). 81.57/11.07 thf(zip_derived_cl75, plain, 81.57/11.07 (![X0 : a > $o]: 81.57/11.07 (~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 81.57/11.07 | (((!!) @ (^[Y0 : a]: 81.57/11.07 (((cK @ X0 @ Y0) => (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))) 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ 81.57/11.07 Y1 @ Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))))), 81.57/11.07 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl74])). 81.57/11.07 thf(zip_derived_cl57, plain, 81.57/11.07 (( ('#form193') 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ 81.57/11.07 Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))))), 81.57/11.07 define([status(thm)])). 81.57/11.07 thf(zip_derived_cl76, plain, 81.57/11.07 (![X0 : a > $o]: 81.57/11.07 (~ ('#form193') 81.57/11.07 | (((!!) @ (^[Y0 : a]: 81.57/11.07 (((cK @ X0 @ Y0) => (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))) 81.57/11.07 | ~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: 81.57/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.07 inference('renaming', [status(thm)], [zip_derived_cl75, zip_derived_cl57])). 81.57/11.07 thf(zip_derived_cl77, plain, 81.57/11.07 (![X0 : a > $o, X2 : a]: 81.57/11.07 ( (((cK @ X0 @ X2) => (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X2))) 81.57/11.07 | ~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: 81.57/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 81.57/11.07 | ~ ('#form193'))), 81.57/11.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl76])). 81.57/11.07 thf(zip_derived_cl78, plain, 81.57/11.07 (![X0 : a > $o, X2 : a]: 81.57/11.07 (~ (cK @ X0 @ X2) 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X2) 81.57/11.07 | ~ ('#form193') 81.57/11.07 | ~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: 81.57/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl77])). 81.57/11.07 thf(zip_derived_cl79, plain, 81.57/11.07 (![X0 : a > $o, X2 : a, X4 : a > $o]: 81.57/11.07 (~ (((X4 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y0 : a]: (((X4 @ Y0) => (cK @ X4 @ Y0)))))))) 81.57/11.07 | ~ ('#form193') 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X2) 81.57/11.07 | ~ (cK @ X0 @ X2))), 81.57/11.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl78])). 81.57/11.07 thf(zip_derived_cl80, plain, 81.57/11.07 (![X0 : a > $o, X1 : a]: 81.57/11.07 (~ (((((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: 81.57/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) & 81.57/11.07 (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ 81.57/11.07 Y1 @ Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))))) 81.57/11.07 | ~ ('#form193') 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ (cK @ X0 @ X1))), 81.57/11.07 inference('triggered_bool_instantiation', [status(thm)], 81.57/11.07 [zip_derived_cl79])). 81.57/11.07 thf(zip_derived_cl87, plain, 81.57/11.07 (![X0 : a > $o, X1 : a]: 81.57/11.07 (~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ 81.57/11.07 Y1 @ Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))) 81.57/11.07 | ~ (cK @ X0 @ X1) 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ ('#form193'))), 81.57/11.07 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl80])). 81.57/11.07 thf(zip_derived_cl57, plain, 81.57/11.07 (( ('#form193') 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ 81.57/11.07 Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))))), 81.57/11.07 define([status(thm)])). 81.57/11.07 thf(zip_derived_cl88, plain, 81.57/11.07 (![X0 : a > $o, X1 : a]: 81.57/11.07 (~ ('#form193') 81.57/11.07 | ~ ('#form193') 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ (cK @ X0 @ X1) 81.57/11.07 | ~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: 81.57/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.07 inference('renaming', [status(thm)], [zip_derived_cl87, zip_derived_cl57])). 81.57/11.07 thf(zip_derived_cl89, plain, 81.57/11.07 (![X0 : a > $o, X1 : a]: 81.57/11.07 (~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 81.57/11.07 | ~ (cK @ X0 @ X1) 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ ('#form193'))), 81.57/11.07 inference('simplify', [status(thm)], [zip_derived_cl88])). 81.57/11.07 thf(zip_derived_cl90, plain, 81.57/11.07 (![X0 : a > $o, X1 : a, X3 : a > $o]: 81.57/11.07 (~ (((X3 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y0 : a]: (((X3 @ Y0) => (cK @ X3 @ Y0)))))))) 81.57/11.07 | ~ ('#form193') 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ (cK @ X0 @ X1))), 81.57/11.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl89])). 81.57/11.07 thf(zip_derived_cl91, plain, 81.57/11.07 (![X0 : a > $o, X1 : a]: 81.57/11.07 (~ (((((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: 81.57/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) & 81.57/11.07 (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ 81.57/11.07 Y1 @ Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))))) 81.57/11.07 | ~ ('#form193') 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ (cK @ X0 @ X1))), 81.57/11.07 inference('triggered_bool_instantiation', [status(thm)], 81.57/11.07 [zip_derived_cl90])). 81.57/11.07 thf(zip_derived_cl98, plain, 81.57/11.07 (![X0 : a > $o, X1 : a]: 81.57/11.07 (~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ 81.57/11.07 Y1 @ Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))) 81.57/11.07 | ~ (cK @ X0 @ X1) 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ ('#form193'))), 81.57/11.07 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl91])). 81.57/11.07 thf(zip_derived_cl57, plain, 81.57/11.07 (( ('#form193') 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ 81.57/11.07 Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))))), 81.57/11.07 define([status(thm)])). 81.57/11.07 thf(zip_derived_cl99, plain, 81.57/11.07 (![X0 : a > $o, X1 : a]: 81.57/11.07 (~ ('#form193') 81.57/11.07 | ~ ('#form193') 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ (cK @ X0 @ X1) 81.57/11.07 | ~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: 81.57/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.07 inference('renaming', [status(thm)], [zip_derived_cl98, zip_derived_cl57])). 81.57/11.07 thf(zip_derived_cl100, plain, 81.57/11.07 (![X0 : a > $o, X1 : a]: 81.57/11.07 (~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 81.57/11.07 | ~ (cK @ X0 @ X1) 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ ('#form193'))), 81.57/11.07 inference('simplify', [status(thm)], [zip_derived_cl99])). 81.57/11.07 thf(zip_derived_cl101, plain, 81.57/11.07 (![X0 : a > $o, X1 : a, X3 : a > $o]: 81.57/11.07 (~ (((X3 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y0 : a]: (((X3 @ Y0) => (cK @ X3 @ Y0)))))))) 81.57/11.07 | ~ ('#form193') 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ (cK @ X0 @ X1))), 81.57/11.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl100])). 81.57/11.07 thf(zip_derived_cl102, plain, 81.57/11.07 (![X0 : a > $o, X1 : a]: 81.57/11.07 (~ (((((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: 81.57/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) & 81.57/11.07 (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ 81.57/11.07 Y1 @ Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))))) 81.57/11.07 | ~ ('#form193') 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ (cK @ X0 @ X1))), 81.57/11.07 inference('triggered_bool_instantiation', [status(thm)], 81.57/11.07 [zip_derived_cl101])). 81.57/11.07 thf(zip_derived_cl109, plain, 81.57/11.07 (![X0 : a > $o, X1 : a]: 81.57/11.07 (~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ 81.57/11.07 Y1 @ Y2))))))))))) => 81.57/11.07 (cK @ 81.57/11.07 (^[Y1 : a]: 81.57/11.07 (((??) @ (^[Y2 : a > $o]: 81.57/11.07 (((Y2 @ Y1) & 81.57/11.07 (((!!) @ (^[Y3 : a]: 81.57/11.07 (((Y2 @ Y3) => (cK @ 81.57/11.07 Y2 @ Y3)))))))))))) @ 81.57/11.07 Y0)))))) 81.57/11.07 | ~ (cK @ X0 @ X1) 81.57/11.07 | (cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: 81.57/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 X1) 81.57/11.07 | ~ ('#form193'))), 81.57/11.07 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl102])). 81.57/11.07 thf(zip_derived_cl110, plain, 81.57/11.07 (![X0 : a > $o]: 81.57/11.07 ( ('#form366' @ X0) 81.57/11.07 | ~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: 81.57/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.07 define([status(thm)])). 81.57/11.07 thf(zip_derived_cl111, plain, 81.57/11.07 (![X0 : a > $o, X2 : a > $o]: 81.57/11.07 (~ (((X2 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))))) 81.57/11.07 | ('#form366' @ X0))), 81.57/11.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl110])). 81.57/11.07 thf(zip_derived_cl115, plain, 81.57/11.07 (![X0 : a > $o, X2 : a > $o]: 81.57/11.07 (~ (X2 @ ('#sk101' @ X0)) 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cK @ X2 @ Y0)))))) 81.57/11.07 | ('#form366' @ X0))), 81.57/11.07 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])). 81.57/11.07 thf(zip_derived_cl117, plain, 81.57/11.07 (![X0 : a > $o, X2 : a > $o]: 81.57/11.07 (~ (((X2 @ ('#sk12' @ (cK @ X2) @ X2)) => (cK @ X2 @ 81.57/11.07 ('#sk12' @ (cK @ X2) @ X2)))) 81.57/11.07 | ('#form366' @ X0) 81.57/11.07 | ~ (X2 @ ('#sk101' @ X0)))), 81.57/11.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl115])). 81.57/11.07 thf(zip_derived_cl118, plain, 81.57/11.07 (![X0 : a > $o, X2 : a > $o]: 81.57/11.07 ( (X2 @ ('#sk12' @ (cK @ X2) @ X2)) 81.57/11.07 | ~ (X2 @ ('#sk101' @ X0)) 81.57/11.07 | ('#form366' @ X0))), 81.57/11.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl117])). 81.57/11.07 thf(zip_derived_cl119, plain, 81.57/11.07 (![X0 : a > $o, X2 : a > $o]: 81.57/11.07 (~ (cK @ X2 @ ('#sk12' @ (cK @ X2) @ X2)) 81.57/11.07 | ~ (X2 @ ('#sk101' @ X0)) 81.57/11.07 | ('#form366' @ X0))), 81.57/11.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl117])). 81.57/11.07 thf(zip_derived_cl6, plain, 81.57/11.07 (((cK @ 81.57/11.07 (^[Y0 : a]: 81.57/11.07 (((??) @ (^[Y1 : a > $o]: 81.57/11.07 (((Y1 @ Y0) & 81.57/11.07 (((!!) @ (^[Y2 : a]: (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 81.57/11.07 '#sk1') 81.57/11.07 != (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1)))))) & 81.57/11.07 (Y0 @ '#sk1')))))))), 81.57/11.07 inference('simplify nested equalities', [status(thm)], [zip_derived_cl4])). 81.57/11.07 thf(zip_derived_cl4604, plain, 81.57/11.07 (![X1 : a]: 81.57/11.07 (('#l_lift15969' @ X1) 81.57/11.07 = (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ X1) & 81.57/11.07 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 81.57/11.07 define([status(thm)])). 81.57/11.07 thf(zip_derived_cl4605, plain, 81.57/11.07 (((cK @ '#l_lift15969' @ '#sk1') 81.57/11.07 != (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1)))))) & 81.57/11.07 (Y0 @ '#sk1')))))))), 81.57/11.07 inference('lambda_lifting', [status(thm)], 81.57/11.07 [zip_derived_cl6, zip_derived_cl4604])). 81.57/11.07 thf(zip_derived_cl109, plain, 81.57/11.07 (![X0 : a > $o, X1 : a]: 81.57/11.07 (~ (((??) @ (^[Y0 : a > $o]: 81.57/11.07 (((Y0 @ ('#sk101' @ X0)) & 81.57/11.07 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))) 81.57/11.07 | ~ (((!!) @ (^[Y0 : a]: 81.57/11.07 (((((??) @ (^[Y1 : a > $o]: 82.81/11.07 (((Y1 @ Y0) & 82.81/11.07 (((!!) @ (^[Y2 : a]: 82.81/11.07 (((Y1 @ Y2) => (cK @ 82.81/11.07 Y1 @ Y2))))))))))) => 82.81/11.07 (cK @ 82.81/11.07 (^[Y1 : a]: 82.81/11.07 (((??) @ (^[Y2 : a > $o]: 82.81/11.07 (((Y2 @ Y1) & 82.81/11.07 (((!!) @ (^[Y3 : a]: 82.81/11.07 (((Y2 @ Y3) => (cK @ 82.81/11.07 Y2 @ Y3)))))))))))) @ 82.81/11.07 Y0)))))) 82.81/11.07 | ~ (cK @ X0 @ X1) 82.81/11.07 | (cK @ 82.81/11.07 (^[Y0 : a]: 82.81/11.07 (((??) @ (^[Y1 : a > $o]: 82.81/11.07 (((Y1 @ Y0) & 82.81/11.07 (((!!) @ (^[Y2 : a]: 82.81/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 82.81/11.07 X1) 82.81/11.07 | ~ ('#form193'))), 82.81/11.07 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl102])). 82.81/11.07 thf(zip_derived_cl110, plain, 82.81/11.07 (![X0 : a > $o]: 82.81/11.07 ( ('#form366' @ X0) 82.81/11.07 | ~ (((??) @ (^[Y0 : a > $o]: 82.81/11.07 (((Y0 @ ('#sk101' @ X0)) & 82.81/11.07 (((!!) @ (^[Y1 : a]: 82.81/11.07 (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 82.81/11.07 define([status(thm)])). 82.81/11.07 thf(zip_derived_cl113, plain, 82.81/11.07 (![X0 : a > $o, X1 : a]: 82.81/11.07 (~ ('#form366' @ X0) 82.81/11.07 | ~ ('#form193') 82.81/11.07 | (cK @ 82.81/11.07 (^[Y0 : a]: 82.81/11.07 (((??) @ (^[Y1 : a > $o]: 82.81/11.07 (((Y1 @ Y0) & 82.81/11.07 (((!!) @ (^[Y2 : a]: 82.81/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 82.81/11.07 X1) 82.81/11.07 | ~ (cK @ X0 @ X1) 82.81/11.07 | ~ (((!!) @ (^[Y0 : a]: 82.81/11.07 (((((??) @ (^[Y1 : a > $o]: 82.81/11.07 (((Y1 @ Y0) & 82.81/11.07 (((!!) @ (^[Y2 : a]: 82.81/11.07 (((Y1 @ Y2) => (cK @ 82.81/11.07 Y1 @ Y2))))))))))) => 82.81/11.07 (cK @ 82.81/11.07 (^[Y1 : a]: 82.81/11.07 (((??) @ (^[Y2 : a > $o]: 82.81/11.07 (((Y2 @ Y1) & 82.81/11.07 (((!!) @ (^[Y3 : a]: 82.81/11.07 (((Y2 @ Y3) => (cK @ 82.81/11.07 Y2 @ Y3)))))))))))) @ 82.81/11.07 Y0)))))))), 82.81/11.07 inference('renaming', [status(thm)], 82.81/11.07 [zip_derived_cl109, zip_derived_cl110])). 82.81/11.07 thf(zip_derived_cl57, plain, 82.81/11.07 (( ('#form193') 82.81/11.07 | ~ (((!!) @ (^[Y0 : a]: 82.81/11.07 (((((??) @ (^[Y1 : a > $o]: 82.81/11.07 (((Y1 @ Y0) & 82.81/11.07 (((!!) @ (^[Y2 : a]: 82.81/11.07 (((Y1 @ Y2) => (cK @ Y1 @ 82.81/11.07 Y2))))))))))) => 82.81/11.07 (cK @ 82.81/11.07 (^[Y1 : a]: 82.81/11.07 (((??) @ (^[Y2 : a > $o]: 82.81/11.07 (((Y2 @ Y1) & 82.81/11.07 (((!!) @ (^[Y3 : a]: 82.81/11.07 (((Y2 @ Y3) => (cK @ 82.81/11.07 Y2 @ Y3)))))))))))) @ 82.81/11.07 Y0)))))))), 82.81/11.07 define([status(thm)])). 82.81/11.07 thf(zip_derived_cl114, plain, 82.81/11.07 (![X0 : a > $o, X1 : a]: 82.81/11.07 (~ ('#form193') 82.81/11.07 | ~ (cK @ X0 @ X1) 82.81/11.07 | (cK @ 82.81/11.07 (^[Y0 : a]: 82.81/11.07 (((??) @ (^[Y1 : a > $o]: 82.81/11.07 (((Y1 @ Y0) & 82.81/11.07 (((!!) @ (^[Y2 : a]: 82.81/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 82.81/11.07 X1) 82.81/11.07 | ~ ('#form193') 82.81/11.07 | ~ ('#form366' @ X0))), 82.81/11.07 inference('renaming', [status(thm)], 82.81/11.07 [zip_derived_cl113, zip_derived_cl57])). 82.81/11.07 thf(zip_derived_cl116, plain, 82.81/11.07 (![X0 : a > $o, X1 : a]: 82.81/11.07 (~ ('#form366' @ X0) 82.81/11.07 | (cK @ 82.81/11.07 (^[Y0 : a]: 82.81/11.07 (((??) @ (^[Y1 : a > $o]: 82.81/11.07 (((Y1 @ Y0) & 82.81/11.07 (((!!) @ (^[Y2 : a]: 82.81/11.07 (((Y1 @ Y2) => (cK @ Y1 @ Y2)))))))))))) @ 82.81/11.07 X1) 82.81/11.07 | ~ (cK @ X0 @ X1) 82.81/11.07 | ~ ('#form193'))), 82.81/11.07 inference('simplify', [status(thm)], [zip_derived_cl114])). 82.81/11.07 thf(zip_derived_cl4604, plain, 82.81/11.07 (![X1 : a]: 82.81/11.07 (('#l_lift15969' @ X1) 82.81/11.07 = (((??) @ (^[Y0 : a > $o]: 82.81/11.07 (((Y0 @ X1) & 82.81/11.07 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => (cK @ Y0 @ Y1))))))))))))), 82.81/11.07 define([status(thm)])). 82.81/11.07 thf(zip_derived_cl4615, plain, 82.81/11.07 (![X0 : a > $o, X1 : a]: 82.81/11.07 (~ ('#form366' @ X0) 82.81/11.07 | (cK @ '#l_lift15969' @ X1) 82.81/11.07 | ~ (cK @ X0 @ X1) 82.81/11.07 | ~ ('#form193'))), 82.81/11.07 inference('lambda_lifting', [status(thm)], 82.81/11.07 [zip_derived_cl116, zip_derived_cl4604])). 82.81/11.07 thf(zip_derived_cl4619, plain, ($false), 82.81/11.07 inference('eprover', [status(thm)], 82.81/11.07 [zip_derived_cl14, zip_derived_cl4613, zip_derived_cl4612, 82.81/11.07 zip_derived_cl13, zip_derived_cl4614, zip_derived_cl4604, 82.81/11.07 zip_derived_cl4610, zip_derived_cl4611, zip_derived_cl4609, 82.81/11.07 zip_derived_cl118, zip_derived_cl119, zip_derived_cl4605, 82.81/11.07 zip_derived_cl4615])). 82.81/11.07 82.81/11.07 % SZS output end Refutation 82.81/11.07 82.81/11.07 82.81/11.07 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 82.81/11.07 % Terminating... 82.81/11.13 % Runner terminated. 82.81/11.15 % Zipperpin 1.5 exiting 82.81/11.16 EOF