0.01/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hVc068mzRm true 0.14/0.36 % Computer : n007.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1200 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Jul 13 12:46:34 EDT 2021 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 120 s 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.37 % Running in HO mode 0.22/0.59 % Total configuration time : 828 0.22/0.59 % Estimated wc time : 983 0.22/0.59 % Estimated cpu time (8 cpus) : 122.875 0.50/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.50/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.51/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.51/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 83.02/11.62 % Solved by lams/20_acsne_simpl.sh. 83.02/11.62 % running E: timeout 13 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.hVc068mzRm/e_input9978eb --cpu-limit=11 --auto -s -p 83.02/11.62 % done 115 iterations in 10.803s 83.02/11.62 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 83.02/11.62 % SZS output start Refutation 83.02/11.62 thf(a_type, type, a: $tType). 83.02/11.62 thf('#sk336_type', type, '#sk336': (a > $o) > a). 83.02/11.62 thf('#sk236_type', type, '#sk236': (a > $o) > a). 83.02/11.62 thf('#l_lift12896_type', type, '#l_lift12896': a > $o). 83.02/11.62 thf(cK_type, type, cK: (a > $o) > a > $o). 83.02/11.62 thf('#form1076_type', type, '#form1076': (a > $o) > $o). 83.02/11.62 thf('#form811_type', type, '#form811': $o). 83.02/11.62 thf('#sk12_type', type, '#sk12': (a > $o) > (a > $o) > a). 83.02/11.62 thf('#sk244_type', type, '#sk244': (a > $o) > a > $o). 83.02/11.62 thf('#sk1_type', type, '#sk1': a). 83.02/11.62 thf(cTHM90A_pme, conjecture, 83.02/11.62 (( ![X:( a > $o ),Y:( a > $o )]: 83.02/11.62 ( ( ![Xx:a]: ( ( X @ Xx ) => ( Y @ Xx ) ) ) => 83.02/11.62 ( ![Xx:a]: ( ( cK @ X @ Xx ) => ( cK @ Y @ Xx ) ) ) ) ) => 83.02/11.62 ( ![Xx:a]: 83.02/11.62 ( ( ![S:( a > $o )]: 83.02/11.62 ( ( ![Xx0:a]: ( ( cK @ S @ Xx0 ) => ( S @ Xx0 ) ) ) => ( S @ Xx ) ) ) => 83.02/11.62 ( cK @ 83.02/11.62 ( ^[Xx0:a]: 83.02/11.62 ( ![S:( a > $o )]: 83.02/11.62 ( ( ![Xx1:a]: ( ( cK @ S @ Xx1 ) => ( S @ Xx1 ) ) ) => 83.02/11.62 ( S @ Xx0 ) ) ) ) @ 83.02/11.62 Xx ) ) ))). 83.02/11.62 thf(zf_stmt_0, negated_conjecture, 83.02/11.62 (~( ( ![X:( a > $o ),Y:( a > $o )]: 83.02/11.62 ( ( ![Xx:a]: ( ( X @ Xx ) => ( Y @ Xx ) ) ) => 83.02/11.62 ( ![Xx:a]: ( ( cK @ X @ Xx ) => ( cK @ Y @ Xx ) ) ) ) ) => 83.02/11.62 ( ![Xx:a]: 83.02/11.62 ( ( ![S:( a > $o )]: 83.02/11.62 ( ( ![Xx0:a]: ( ( cK @ S @ Xx0 ) => ( S @ Xx0 ) ) ) => ( S @ Xx ) ) ) => 83.02/11.62 ( cK @ 83.02/11.62 ( ^[Xx0:a]: 83.02/11.62 ( ![S:( a > $o )]: 83.02/11.62 ( ( ![Xx1:a]: ( ( cK @ S @ Xx1 ) => ( S @ Xx1 ) ) ) => 83.02/11.62 ( S @ Xx0 ) ) ) ) @ 83.02/11.62 Xx ) ) ) )), 83.02/11.62 inference('cnf.neg', [status(esa)], [cTHM90A_pme])). 83.02/11.62 thf(zip_derived_cl0, plain, 83.02/11.62 (~ (((((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((Y0 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y0 @ Y2) => (cK @ 83.02/11.62 Y1 @ Y2)))))))))))))) => 83.02/11.62 (((!!) @ (^[Y0 : a]: 83.02/11.62 (((((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))) => 83.02/11.62 (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0))))))))), 83.02/11.62 inference('cnf', [status(esa)], [zf_stmt_0])). 83.02/11.62 thf(zip_derived_cl1, plain, 83.02/11.62 ( (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((Y0 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y0 @ Y2) => (cK @ Y1 @ 83.02/11.62 Y2))))))))))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 83.02/11.62 thf(zip_derived_cl3, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((X2 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (((!!) @ (^[Y1 : a]: 83.02/11.62 (((cK @ X2 @ Y1) => (cK @ Y0 @ Y1)))))))))))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 83.02/11.62 thf(zip_derived_cl5, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (X4 @ Y0)))))) => 83.02/11.62 (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0))))))))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 83.02/11.62 thf(zip_derived_cl8, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 (~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (X4 @ Y0)))))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 83.02/11.62 thf(zip_derived_cl10, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 (~ (((X2 @ ('#sk12' @ X2 @ X4)) => (X4 @ ('#sk12' @ X2 @ X4)))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 83.02/11.62 thf(zip_derived_cl13, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 (~ (X4 @ ('#sk12' @ X2 @ X4)) 83.02/11.62 | (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 83.02/11.62 thf(zip_derived_cl16, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o, X6 : a]: 83.02/11.62 ( (((cK @ X2 @ X6) => (cK @ X4 @ X6))) | ~ (X4 @ ('#sk12' @ X2 @ X4)))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 83.02/11.62 thf(zip_derived_cl20, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o, X6 : a]: 83.02/11.62 (~ (cK @ X2 @ X6) | (cK @ X4 @ X6) | ~ (X4 @ ('#sk12' @ X2 @ X4)))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 83.02/11.62 thf(zip_derived_cl3, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((X2 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (((!!) @ (^[Y1 : a]: 83.02/11.62 (((cK @ X2 @ Y1) => (cK @ Y0 @ Y1)))))))))))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 83.02/11.62 thf(zip_derived_cl23, plain, 83.02/11.62 ( (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: 83.02/11.62 (((((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ 83.02/11.62 Y3) => (Y2 @ 83.02/11.62 Y3)))))) => 83.02/11.62 (Y2 @ Y1)))))) => 83.02/11.62 (Y0 @ Y1)))))) => 83.02/11.62 (((!!) @ (^[Y1 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y2 : a]: 83.02/11.62 (((!!) @ (^[Y3 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y4 : a]: 83.02/11.62 (((cK @ Y3 @ 83.02/11.62 Y4) => 83.02/11.62 (Y3 @ Y4)))))) => 83.02/11.62 (Y3 @ Y2))))))) @ 83.02/11.62 Y1) => (cK @ Y0 @ Y1)))))))))))), 83.02/11.62 inference('triggered_bool_instantiation', [status(thm)], 83.02/11.62 [zip_derived_cl3])). 83.02/11.62 thf(zip_derived_cl88, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y0 : a]: 83.02/11.62 (((((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))) => 83.02/11.62 (X2 @ Y0)))))) => 83.02/11.62 (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X2 @ Y0))))))))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])). 83.02/11.62 thf(zip_derived_cl91, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 (~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))) => 83.02/11.62 (X2 @ Y0)))))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X2 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl88])). 83.02/11.62 thf(zip_derived_cl92, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 (~ (((((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: 83.02/11.62 (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X2))))))) => 83.02/11.62 (X2 @ ('#sk336' @ X2)))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X2 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl91])). 83.02/11.62 thf(zip_derived_cl93, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 ( (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X2))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X2 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl92])). 83.02/11.62 thf(zip_derived_cl95, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 ( (((((!!) @ (^[Y0 : a]: (((cK @ X4 @ Y0) => (X4 @ Y0)))))) => (X4 @ 83.02/11.62 ('#sk336' @ X2)))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X2 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl93])). 83.02/11.62 thf(zip_derived_cl97, plain, 83.02/11.62 (![X0 : a > $o]: 83.02/11.62 ( (((((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) => 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X0 @ Y0)))))))), 83.02/11.62 inference('triggered_bool_instantiation', [status(thm)], 83.02/11.62 [zip_derived_cl95])). 83.02/11.62 thf(zip_derived_cl276, plain, 83.02/11.62 (![X0 : a > $o]: 83.02/11.62 (~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X0 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl97])). 83.02/11.62 thf(zip_derived_cl2, plain, 83.02/11.62 (~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))) => 83.02/11.62 (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => (Y2 @ 83.02/11.62 Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 83.02/11.62 thf(zip_derived_cl4, plain, 83.02/11.62 (~ (((((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1')))))) => 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 '#sk1')))), 83.02/11.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 83.02/11.62 thf(zip_derived_cl6, plain, 83.02/11.62 ( (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1'))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 83.02/11.62 thf(zip_derived_cl9, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (X2 @ Y0)))))) => (X2 @ 83.02/11.62 '#sk1')))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 83.02/11.62 thf(zip_derived_cl21, plain, 83.02/11.62 ( (((((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => (Y2 @ 83.02/11.62 Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) => 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1'))))))))), 83.02/11.62 inference('triggered_bool_instantiation', [status(thm)], 83.02/11.62 [zip_derived_cl9])). 83.02/11.62 thf(zip_derived_cl108, plain, 83.02/11.62 ((~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => (Y2 @ 83.02/11.62 Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1')))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 83.02/11.62 thf(zip_derived_cl109, plain, 83.02/11.62 ((~ (((cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))) => 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))))))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1')))))))), 83.02/11.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl108])). 83.02/11.62 thf(zip_derived_cl110, plain, 83.02/11.62 (( (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1')))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 83.02/11.62 thf(zip_derived_cl112, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 ( (((((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (X2 @ Y0)))))) => (X2 @ 83.02/11.62 '#sk1'))) 83.02/11.62 | (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl110])). 83.02/11.62 thf(zip_derived_cl114, plain, 83.02/11.62 (( (((((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) => 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1')))))))) 83.02/11.62 | (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))))), 83.02/11.62 inference('triggered_bool_instantiation', [status(thm)], 83.02/11.62 [zip_derived_cl112])). 83.02/11.62 thf(zip_derived_cl185, plain, 83.02/11.62 ((~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => (Y2 @ 83.02/11.62 Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1')))))) 83.02/11.62 | (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 83.02/11.62 thf(zip_derived_cl186, plain, 83.02/11.62 ((~ (((cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))) => 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))))))))))))) 83.02/11.62 | (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1')))))))), 83.02/11.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl185])). 83.02/11.62 thf(zip_derived_cl187, plain, 83.02/11.62 ((~ ((($false) => 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))))))))))))) 83.02/11.62 | (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1')))))))), 83.02/11.62 inference('local_rewriting', [status(thm)], [zip_derived_cl186])). 83.02/11.62 thf(zip_derived_cl188, plain, 83.02/11.62 (( (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1')))))))), 83.02/11.62 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl187])). 83.02/11.62 thf(zip_derived_cl189, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 ( (((((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (X2 @ Y0)))))) => (X2 @ 83.02/11.62 '#sk1'))) 83.02/11.62 | (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl188])). 83.02/11.62 thf(zip_derived_cl191, plain, 83.02/11.62 (( (((((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) => 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1')))))))) 83.02/11.62 | (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))))), 83.02/11.62 inference('triggered_bool_instantiation', [status(thm)], 83.02/11.62 [zip_derived_cl189])). 83.02/11.62 thf(zip_derived_cl264, plain, 83.02/11.62 ((~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => (Y2 @ 83.02/11.62 Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ '#sk1')))))) 83.02/11.62 | (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl191])). 83.02/11.62 thf(zip_derived_cl265, plain, 83.02/11.62 (( ('#form811') 83.02/11.62 | ~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl277, plain, 83.02/11.62 (![X0 : a > $o]: 83.02/11.62 (~ ('#form811') 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X0 @ Y0)))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))))), 83.02/11.62 inference('renaming', [status(thm)], 83.02/11.62 [zip_derived_cl276, zip_derived_cl265])). 83.02/11.62 thf(zip_derived_cl278, plain, 83.02/11.62 (![X0 : a > $o, X2 : a]: 83.02/11.62 ( (((cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X2) => (cK @ X0 @ X2))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))) 83.02/11.62 | ~ ('#form811'))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl277])). 83.02/11.62 thf(zip_derived_cl279, plain, 83.02/11.62 (![X0 : a > $o, X2 : a]: 83.02/11.62 (~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X2) 83.02/11.62 | (cK @ X0 @ X2) 83.02/11.62 | ~ ('#form811') 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl278])). 83.02/11.62 thf(zip_derived_cl280, plain, 83.02/11.62 (![X0 : a > $o, X2 : a, X4 : a > $o]: 83.02/11.62 ( (((((!!) @ (^[Y0 : a]: (((cK @ X4 @ Y0) => (X4 @ Y0)))))) => (X4 @ 83.02/11.62 ('#sk336' @ X0)))) 83.02/11.62 | ~ ('#form811') 83.02/11.62 | (cK @ X0 @ X2) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X2))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl279])). 83.02/11.62 thf(zip_derived_cl282, plain, 83.02/11.62 (![X0 : a > $o, X1 : a]: 83.02/11.62 ( (((((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) => 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))))) 83.02/11.62 | ~ ('#form811') 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X1))), 83.02/11.62 inference('triggered_bool_instantiation', [status(thm)], 83.02/11.62 [zip_derived_cl280])). 83.02/11.62 thf(zip_derived_cl314, plain, 83.02/11.62 (![X0 : a > $o, X1 : a]: 83.02/11.62 (~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X1) 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ ('#form811'))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl282])). 83.02/11.62 thf(zip_derived_cl265, plain, 83.02/11.62 (( ('#form811') 83.02/11.62 | ~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl315, plain, 83.02/11.62 (![X0 : a > $o, X1 : a]: 83.02/11.62 (~ ('#form811') 83.02/11.62 | ~ ('#form811') 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X1) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))))), 83.02/11.62 inference('renaming', [status(thm)], 83.02/11.62 [zip_derived_cl314, zip_derived_cl265])). 83.02/11.62 thf(zip_derived_cl316, plain, 83.02/11.62 (![X0 : a > $o, X1 : a]: 83.02/11.62 ( (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X1) 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ ('#form811'))), 83.02/11.62 inference('simplify', [status(thm)], [zip_derived_cl315])). 83.02/11.62 thf(zip_derived_cl317, plain, 83.02/11.62 (![X0 : a > $o, X1 : a, X3 : a > $o]: 83.02/11.62 ( (((((!!) @ (^[Y0 : a]: (((cK @ X3 @ Y0) => (X3 @ Y0)))))) => (X3 @ 83.02/11.62 ('#sk336' @ X0)))) 83.02/11.62 | ~ ('#form811') 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X1))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl316])). 83.02/11.62 thf(zip_derived_cl319, plain, 83.02/11.62 (![X0 : a > $o, X1 : a]: 83.02/11.62 ( (((((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) => 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))))) 83.02/11.62 | ~ ('#form811') 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X1))), 83.02/11.62 inference('triggered_bool_instantiation', [status(thm)], 83.02/11.62 [zip_derived_cl317])). 83.02/11.62 thf(zip_derived_cl332, plain, 83.02/11.62 (![X0 : a > $o, X1 : a]: 83.02/11.62 (~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X1) 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ ('#form811'))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl319])). 83.02/11.62 thf(zip_derived_cl265, plain, 83.02/11.62 (( ('#form811') 83.02/11.62 | ~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl333, plain, 83.02/11.62 (![X0 : a > $o, X1 : a]: 83.02/11.62 (~ ('#form811') 83.02/11.62 | ~ ('#form811') 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X1) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))))), 83.02/11.62 inference('renaming', [status(thm)], 83.02/11.62 [zip_derived_cl332, zip_derived_cl265])). 83.02/11.62 thf(zip_derived_cl334, plain, 83.02/11.62 (![X0 : a > $o, X1 : a]: 83.02/11.62 ( (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X1) 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ ('#form811'))), 83.02/11.62 inference('simplify', [status(thm)], [zip_derived_cl333])). 83.02/11.62 thf(zip_derived_cl335, plain, 83.02/11.62 (![X0 : a > $o]: 83.02/11.62 (~ ('#form1076' @ X0) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl336, plain, 83.02/11.62 (![X0 : a > $o, X2 : a > $o]: 83.02/11.62 ( (((((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (X2 @ Y0)))))) => (X2 @ 83.02/11.62 ('#sk336' @ X0)))) 83.02/11.62 | ~ ('#form1076' @ X0))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl335])). 83.02/11.62 thf(zip_derived_cl340, plain, 83.02/11.62 (![X0 : a > $o, X2 : a > $o]: 83.02/11.62 (~ (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (X2 @ Y0)))))) 83.02/11.62 | (X2 @ ('#sk336' @ X0)) 83.02/11.62 | ~ ('#form1076' @ X0))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl336])). 83.02/11.62 thf(zip_derived_cl341, plain, 83.02/11.62 (![X0 : a > $o, X2 : a > $o]: 83.02/11.62 (~ (((cK @ X2 @ ('#sk12' @ (cK @ X2) @ X2)) => (X2 @ 83.02/11.62 ('#sk12' @ (cK @ X2) @ X2)))) 83.02/11.62 | ~ ('#form1076' @ X0) 83.02/11.62 | (X2 @ ('#sk336' @ X0)))), 83.02/11.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl340])). 83.02/11.62 thf(zip_derived_cl343, plain, 83.02/11.62 (![X0 : a > $o, X2 : a > $o]: 83.02/11.62 (~ (X2 @ ('#sk12' @ (cK @ X2) @ X2)) 83.02/11.62 | (X2 @ ('#sk336' @ X0)) 83.02/11.62 | ~ ('#form1076' @ X0))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl341])). 83.02/11.62 thf(zip_derived_cl334, plain, 83.02/11.62 (![X0 : a > $o, X1 : a]: 83.02/11.62 ( (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X1) 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ ('#form811'))), 83.02/11.62 inference('simplify', [status(thm)], [zip_derived_cl333])). 83.02/11.62 thf(zip_derived_cl335, plain, 83.02/11.62 (![X0 : a > $o]: 83.02/11.62 (~ ('#form1076' @ X0) 83.02/11.62 | (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk336' @ X0))))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl339, plain, 83.02/11.62 (![X0 : a > $o, X1 : a]: 83.02/11.62 ( ('#form1076' @ X0) 83.02/11.62 | ~ ('#form811') 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X1))), 83.02/11.62 inference('renaming', [status(thm)], 83.02/11.62 [zip_derived_cl334, zip_derived_cl335])). 83.02/11.62 thf(zip_derived_cl7, plain, 83.02/11.62 (~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 '#sk1')), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 83.02/11.62 thf(zip_derived_cl3886, plain, 83.02/11.62 (![X1 : a]: 83.02/11.62 (('#l_lift12896' @ X1) 83.02/11.62 = (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ X1)))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl3901, plain, 83.02/11.62 (![X0 : a > $o, X1 : a]: 83.02/11.62 ( ('#form1076' @ X0) 83.02/11.62 | ~ ('#form811') 83.02/11.62 | (cK @ X0 @ X1) 83.02/11.62 | ~ (cK @ '#l_lift12896' @ X1))), 83.02/11.62 inference('lambda_lifting', [status(thm)], 83.02/11.62 [zip_derived_cl339, zip_derived_cl3886])). 83.02/11.62 thf(zip_derived_cl265, plain, 83.02/11.62 (( ('#form811') 83.02/11.62 | ~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl266, plain, 83.02/11.62 ((~ (((cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))) => 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))))))))))))) 83.02/11.62 | ('#form811'))), 83.02/11.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl265])). 83.02/11.62 thf(zip_derived_cl270, plain, 83.02/11.62 ((~ (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))))))))))) 83.02/11.62 | ('#form811'))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl266])). 83.02/11.62 thf(zip_derived_cl271, plain, 83.02/11.62 ((~ (((((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 ('#sk244' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))))) @ 83.02/11.62 Y0) => ('#sk244' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1)))))))) @ 83.02/11.62 Y0)))))) => 83.02/11.62 ('#sk244' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))))) 83.02/11.62 | ('#form811'))), 83.02/11.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl270])). 83.02/11.62 thf(zip_derived_cl273, plain, 83.02/11.62 ((~ ('#sk244' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))) @ 83.02/11.62 ('#sk236' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))))) 83.02/11.62 | ('#form811'))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl271])). 83.02/11.62 thf(zip_derived_cl3886, plain, 83.02/11.62 (![X1 : a]: 83.02/11.62 (('#l_lift12896' @ X1) 83.02/11.62 = (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ X1)))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl3886, plain, 83.02/11.62 (![X1 : a]: 83.02/11.62 (('#l_lift12896' @ X1) 83.02/11.62 = (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ X1)))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl3899, plain, 83.02/11.62 ((~ ('#sk244' @ (cK @ '#l_lift12896') @ 83.02/11.62 ('#sk236' @ (cK @ '#l_lift12896'))) 83.02/11.62 | ('#form811'))), 83.02/11.62 inference('lambda_lifting', [status(thm)], 83.02/11.62 [zip_derived_cl273, zip_derived_cl3886, zip_derived_cl3886])). 83.02/11.62 thf(zip_derived_cl272, plain, 83.02/11.62 (( (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 ('#sk244' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))))) @ 83.02/11.62 Y0) => ('#sk244' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => (Y2 @ 83.02/11.62 Y3)))))) => 83.02/11.62 (Y2 @ Y1)))))))) @ 83.02/11.62 Y0)))))) 83.02/11.62 | ('#form811'))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl271])). 83.02/11.62 thf(zip_derived_cl274, plain, 83.02/11.62 (![X2 : a]: 83.02/11.62 ( (((cK @ 83.02/11.62 ('#sk244' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))) @ 83.02/11.62 X2) => ('#sk244' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))) @ 83.02/11.62 X2))) 83.02/11.62 | ('#form811'))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl272])). 83.02/11.62 thf(zip_derived_cl275, plain, 83.02/11.62 (![X2 : a]: 83.02/11.62 (~ (cK @ 83.02/11.62 ('#sk244' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))) @ 83.02/11.62 X2) 83.02/11.62 | ('#sk244' @ 83.02/11.62 (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0)))))))) @ 83.02/11.62 X2) 83.02/11.62 | ('#form811'))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl274])). 83.02/11.62 thf(zip_derived_cl3886, plain, 83.02/11.62 (![X1 : a]: 83.02/11.62 (('#l_lift12896' @ X1) 83.02/11.62 = (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ X1)))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl3886, plain, 83.02/11.62 (![X1 : a]: 83.02/11.62 (('#l_lift12896' @ X1) 83.02/11.62 = (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ X1)))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl3900, plain, 83.02/11.62 (![X2 : a]: 83.02/11.62 (~ (cK @ ('#sk244' @ (cK @ '#l_lift12896')) @ X2) 83.02/11.62 | ('#sk244' @ (cK @ '#l_lift12896') @ X2) 83.02/11.62 | ('#form811'))), 83.02/11.62 inference('lambda_lifting', [status(thm)], 83.02/11.62 [zip_derived_cl275, zip_derived_cl3886, zip_derived_cl3886])). 83.02/11.62 thf(zip_derived_cl12, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 ( (X2 @ ('#sk12' @ X2 @ X4)) 83.02/11.62 | (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 83.02/11.62 thf(zip_derived_cl15, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o, X6 : a]: 83.02/11.62 ( (((cK @ X2 @ X6) => (cK @ X4 @ X6))) | (X2 @ ('#sk12' @ X2 @ X4)))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 83.02/11.62 thf(zip_derived_cl19, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o, X6 : a]: 83.02/11.62 (~ (cK @ X2 @ X6) | (cK @ X4 @ X6) | (X2 @ ('#sk12' @ X2 @ X4)))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 83.02/11.62 thf(zip_derived_cl3886, plain, 83.02/11.62 (![X1 : a]: 83.02/11.62 (('#l_lift12896' @ X1) 83.02/11.62 = (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ X1)))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl95, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 ( (((((!!) @ (^[Y0 : a]: (((cK @ X4 @ Y0) => (X4 @ Y0)))))) => (X4 @ 83.02/11.62 ('#sk336' @ X2)))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X2 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl93])). 83.02/11.62 thf(zip_derived_cl99, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 (~ (((!!) @ (^[Y0 : a]: (((cK @ X4 @ Y0) => (X4 @ Y0)))))) 83.02/11.62 | (X4 @ ('#sk336' @ X2)) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X2 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl95])). 83.02/11.62 thf(zip_derived_cl101, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 (~ (((cK @ X4 @ ('#sk12' @ (cK @ X4) @ X4)) => (X4 @ 83.02/11.62 ('#sk12' @ (cK @ X4) @ X4)))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X2 @ Y0)))))) 83.02/11.62 | (X4 @ ('#sk336' @ X2)))), 83.02/11.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl99])). 83.02/11.62 thf(zip_derived_cl103, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 (~ (X4 @ ('#sk12' @ (cK @ X4) @ X4)) 83.02/11.62 | (X4 @ ('#sk336' @ X2)) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X2 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl101])). 83.02/11.62 thf(zip_derived_cl105, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o, X6 : a]: 83.02/11.62 ( (((cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X6) => (cK @ X2 @ X6))) 83.02/11.62 | (X4 @ ('#sk336' @ X2)) 83.02/11.62 | ~ (X4 @ ('#sk12' @ (cK @ X4) @ X4)))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl103])). 83.02/11.62 thf(zip_derived_cl107, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o, X6 : a]: 83.02/11.62 (~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X6) 83.02/11.62 | (cK @ X2 @ X6) 83.02/11.62 | ~ (X4 @ ('#sk12' @ (cK @ X4) @ X4)) 83.02/11.62 | (X4 @ ('#sk336' @ X2)))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl105])). 83.02/11.62 thf(zip_derived_cl3886, plain, 83.02/11.62 (![X1 : a]: 83.02/11.62 (('#l_lift12896' @ X1) 83.02/11.62 = (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ X1)))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl3893, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o, X6 : a]: 83.02/11.62 (~ (cK @ '#l_lift12896' @ X6) 83.02/11.62 | (cK @ X2 @ X6) 83.02/11.62 | ~ (X4 @ ('#sk12' @ (cK @ X4) @ X4)) 83.02/11.62 | (X4 @ ('#sk336' @ X2)))), 83.02/11.62 inference('lambda_lifting', [status(thm)], 83.02/11.62 [zip_derived_cl107, zip_derived_cl3886])). 83.02/11.62 thf(zip_derived_cl102, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 ( (cK @ X4 @ ('#sk12' @ (cK @ X4) @ X4)) 83.02/11.62 | (X4 @ ('#sk336' @ X2)) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X2 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl101])). 83.02/11.62 thf(zip_derived_cl104, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o, X6 : a]: 83.02/11.62 ( (((cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X6) => (cK @ X2 @ X6))) 83.02/11.62 | (X4 @ ('#sk336' @ X2)) 83.02/11.62 | (cK @ X4 @ ('#sk12' @ (cK @ X4) @ X4)))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl102])). 83.02/11.62 thf(zip_derived_cl106, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o, X6 : a]: 83.02/11.62 (~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X6) 83.02/11.62 | (cK @ X2 @ X6) 83.02/11.62 | (cK @ X4 @ ('#sk12' @ (cK @ X4) @ X4)) 83.02/11.62 | (X4 @ ('#sk336' @ X2)))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl104])). 83.02/11.62 thf(zip_derived_cl3886, plain, 83.02/11.62 (![X1 : a]: 83.02/11.62 (('#l_lift12896' @ X1) 83.02/11.62 = (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ X1)))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl3892, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o, X6 : a]: 83.02/11.62 (~ (cK @ '#l_lift12896' @ X6) 83.02/11.62 | (cK @ X2 @ X6) 83.02/11.62 | (cK @ X4 @ ('#sk12' @ (cK @ X4) @ X4)) 83.02/11.62 | (X4 @ ('#sk336' @ X2)))), 83.02/11.62 inference('lambda_lifting', [status(thm)], 83.02/11.62 [zip_derived_cl106, zip_derived_cl3886])). 83.02/11.62 thf(zip_derived_cl7, plain, 83.02/11.62 (~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 '#sk1')), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 83.02/11.62 thf(zip_derived_cl3886, plain, 83.02/11.62 (![X1 : a]: 83.02/11.62 (('#l_lift12896' @ X1) 83.02/11.62 = (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ X1)))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl3887, plain, (~ (cK @ '#l_lift12896' @ '#sk1')), 83.02/11.62 inference('lambda_lifting', [status(thm)], 83.02/11.62 [zip_derived_cl7, zip_derived_cl3886])). 83.02/11.62 thf(zip_derived_cl94, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 (~ (X2 @ ('#sk336' @ X2)) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0) => (cK @ X2 @ Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl92])). 83.02/11.62 thf(zip_derived_cl98, plain, 83.02/11.62 (![X2 : a > $o, X4 : a]: 83.02/11.62 ( (((cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X4) => (cK @ X2 @ X4))) 83.02/11.62 | ~ (X2 @ ('#sk336' @ X2)))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl94])). 83.02/11.62 thf(zip_derived_cl100, plain, 83.02/11.62 (![X2 : a > $o, X4 : a]: 83.02/11.62 (~ (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X4) 83.02/11.62 | (cK @ X2 @ X4) 83.02/11.62 | ~ (X2 @ ('#sk336' @ X2)))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl98])). 83.02/11.62 thf(zip_derived_cl3886, plain, 83.02/11.62 (![X1 : a]: 83.02/11.62 (('#l_lift12896' @ X1) 83.02/11.62 = (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ X1)))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl3891, plain, 83.02/11.62 (![X2 : a > $o, X4 : a]: 83.02/11.62 (~ (cK @ '#l_lift12896' @ X4) 83.02/11.62 | (cK @ X2 @ X4) 83.02/11.62 | ~ (X2 @ ('#sk336' @ X2)))), 83.02/11.62 inference('lambda_lifting', [status(thm)], 83.02/11.62 [zip_derived_cl100, zip_derived_cl3886])). 83.02/11.62 thf(zip_derived_cl9, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (X2 @ Y0)))))) => (X2 @ 83.02/11.62 '#sk1')))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 83.02/11.62 thf(zip_derived_cl11, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 (~ (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (X2 @ Y0)))))) 83.02/11.62 | (X2 @ '#sk1'))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 83.02/11.62 thf(zip_derived_cl14, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 (~ (((cK @ X2 @ ('#sk12' @ (cK @ X2) @ X2)) => (X2 @ 83.02/11.62 ('#sk12' @ (cK @ X2) @ X2)))) 83.02/11.62 | (X2 @ '#sk1'))), 83.02/11.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 83.02/11.62 thf(zip_derived_cl17, plain, 83.02/11.62 (![X2 : a > $o]: 83.02/11.62 ( (cK @ X2 @ ('#sk12' @ (cK @ X2) @ X2)) | (X2 @ '#sk1'))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 83.02/11.62 thf(zip_derived_cl18, plain, 83.02/11.62 (![X2 : a > $o]: (~ (X2 @ ('#sk12' @ (cK @ X2) @ X2)) | (X2 @ '#sk1'))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 83.02/11.62 thf(zip_derived_cl5, plain, 83.02/11.62 (![X2 : a > $o, X4 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (X4 @ Y0)))))) => 83.02/11.62 (((!!) @ (^[Y0 : a]: (((cK @ X2 @ Y0) => (cK @ X4 @ Y0))))))))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 83.02/11.62 thf(zip_derived_cl22, plain, 83.02/11.62 (![X0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y0 : a]: 83.02/11.62 (((X0 @ Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) => 83.02/11.62 (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ X0 @ Y0) => (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0))))))))), 83.02/11.62 inference('triggered_bool_instantiation', [status(thm)], 83.02/11.62 [zip_derived_cl5])). 83.02/11.62 thf(zip_derived_cl58, plain, 83.02/11.62 (![X0 : a > $o]: 83.02/11.62 (~ (((!!) @ (^[Y0 : a]: 83.02/11.62 (((X0 @ Y0) => 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ 83.02/11.62 Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ X0 @ Y0) => (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 83.02/11.62 thf(zip_derived_cl59, plain, 83.02/11.62 (![X0 : a > $o]: 83.02/11.62 (~ (((X0 @ ('#sk236' @ X0)) => 83.02/11.62 (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: 83.02/11.62 (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ ('#sk236' @ X0))))))))) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ X0 @ Y0) => (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0)))))))), 83.02/11.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl58])). 83.02/11.62 thf(zip_derived_cl60, plain, 83.02/11.62 (![X0 : a > $o]: 83.02/11.62 ( (X0 @ ('#sk236' @ X0)) 83.02/11.62 | (((!!) @ (^[Y0 : a]: 83.02/11.62 (((cK @ X0 @ Y0) => (cK @ 83.02/11.62 (^[Y1 : a]: 83.02/11.62 (((!!) @ (^[Y2 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y3 : a]: 83.02/11.62 (((cK @ Y2 @ Y3) => 83.02/11.62 (Y2 @ Y3)))))) => 83.02/11.62 (Y2 @ Y1))))))) @ 83.02/11.62 Y0)))))))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl59])). 83.02/11.62 thf(zip_derived_cl62, plain, 83.02/11.62 (![X0 : a > $o, X2 : a]: 83.02/11.62 ( (((cK @ X0 @ X2) => (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X2))) 83.02/11.62 | (X0 @ ('#sk236' @ X0)))), 83.02/11.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl60])). 83.02/11.62 thf(zip_derived_cl64, plain, 83.02/11.62 (![X0 : a > $o, X2 : a]: 83.02/11.62 (~ (cK @ X0 @ X2) 83.02/11.62 | (cK @ 83.02/11.62 (^[Y0 : a]: 83.02/11.62 (((!!) @ (^[Y1 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y2 : a]: 83.02/11.62 (((cK @ Y1 @ Y2) => (Y1 @ Y2)))))) => 83.02/11.62 (Y1 @ Y0))))))) @ 83.02/11.62 X2) 83.02/11.62 | (X0 @ ('#sk236' @ X0)))), 83.02/11.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 83.02/11.62 thf(zip_derived_cl3886, plain, 83.02/11.62 (![X1 : a]: 83.02/11.62 (('#l_lift12896' @ X1) 83.02/11.62 = (((!!) @ (^[Y0 : a > $o]: 83.02/11.62 (((((!!) @ (^[Y1 : a]: (((cK @ Y0 @ Y1) => (Y0 @ Y1)))))) => 83.02/11.62 (Y0 @ X1)))))))), 83.02/11.62 define([status(thm)])). 83.02/11.62 thf(zip_derived_cl3888, plain, 83.02/11.62 (![X0 : a > $o, X2 : a]: 83.02/11.62 (~ (cK @ X0 @ X2) 83.02/11.62 | (cK @ '#l_lift12896' @ X2) 83.02/11.62 | (X0 @ ('#sk236' @ X0)))), 83.02/11.62 inference('lambda_lifting', [status(thm)], 83.02/11.62 [zip_derived_cl64, zip_derived_cl3886])). 83.02/11.62 thf(zip_derived_cl3906, plain, ($false), 83.02/11.62 inference('eprover', [status(thm)], 83.02/11.62 [zip_derived_cl20, zip_derived_cl343, zip_derived_cl3901, 83.02/11.62 zip_derived_cl3899, zip_derived_cl3900, zip_derived_cl19, 83.02/11.62 zip_derived_cl3886, zip_derived_cl3893, zip_derived_cl3892, 83.02/11.62 zip_derived_cl3887, zip_derived_cl3891, zip_derived_cl17, 83.02/11.62 zip_derived_cl18, zip_derived_cl3888])). 83.02/11.62 83.02/11.62 % SZS output end Refutation 83.02/11.62 83.02/11.62 83.02/11.62 % Terminating... 83.63/11.76 % Runner terminated. 83.63/11.76 % Zipperpin 1.5 exiting 83.63/11.77 EOF