0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4ZoaU7AdKJ true 0.12/0.34 % Computer : n017.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 03:32:00 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.34 % Running portfolio for 960 s 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.12/0.35 % Number of cores: 8 0.12/0.35 % Python version: Python 3.6.8 0.12/0.35 % Running in HO mode 0.44/0.63 % Total configuration time : 828 0.44/0.63 % Estimated wc time : 1656 0.44/0.63 % Estimated cpu time (8 cpus) : 207.0 0.56/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 239.29/30.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 318.15/40.81 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s 477.51/61.13 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s 554.03/70.90 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s 572.58/73.29 % Solved by lams/35_full_unif4.sh. 572.58/73.29 % done 2722 iterations in 72.507s 572.58/73.29 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 572.58/73.29 % SZS output start Refutation 572.58/73.29 thf(cS_type, type, cS: $i > $i). 572.58/73.29 thf('#sk1_type', type, '#sk1': $i). 572.58/73.29 thf(cODD_type, type, cODD: $i > $o). 572.58/73.29 thf(c0_type, type, c0: $i). 572.58/73.29 thf(cEVEN_type, type, cEVEN: $i > $o). 572.58/73.29 thf(cNUMBER_type, type, cNUMBER: $i > $o). 572.58/73.29 thf('#sk23_type', type, '#sk23': ($i > $o) > ($i > $o) > $i). 572.58/73.29 thf(cEVEN_ODD_4, conjecture, 572.58/73.29 (( ( cEVEN @ c0 ) & 572.58/73.29 ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) & 572.58/73.29 ( ![Xn:$i]: ( ( cNUMBER @ Xn ) <=> ( ( cODD @ Xn ) | ( cEVEN @ Xn ) ) ) ) & 572.58/73.29 ( ![P:( $i > $o ),Q:( $i > $o )]: 572.58/73.29 ( ( ( P @ c0 ) & ( Q @ c0 ) & 572.58/73.29 ( ![Xx:$i]: 572.58/73.29 ( ( ( P @ Xx ) & ( Q @ Xx ) ) => 572.58/73.29 ( ( Q @ ( cS @ Xx ) ) & ( P @ ( cS @ Xx ) ) ) ) ) ) => 572.58/73.29 ( ![Xx:$i]: ( ( Q @ Xx ) & ( P @ Xx ) ) ) ) ) & 572.58/73.29 ( cODD @ ( cS @ c0 ) ) & 572.58/73.29 ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) ) => 572.58/73.29 ( ![Xn:$i]: ( cNUMBER @ Xn ) ))). 572.58/73.29 thf(zf_stmt_0, negated_conjecture, 572.58/73.29 (~( ( ( cEVEN @ c0 ) & 572.58/73.29 ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) & 572.58/73.29 ( ![Xn:$i]: 572.58/73.29 ( ( cNUMBER @ Xn ) <=> ( ( cODD @ Xn ) | ( cEVEN @ Xn ) ) ) ) & 572.58/73.29 ( ![P:( $i > $o ),Q:( $i > $o )]: 572.58/73.29 ( ( ( P @ c0 ) & ( Q @ c0 ) & 572.58/73.29 ( ![Xx:$i]: 572.58/73.29 ( ( ( P @ Xx ) & ( Q @ Xx ) ) => 572.58/73.29 ( ( Q @ ( cS @ Xx ) ) & ( P @ ( cS @ Xx ) ) ) ) ) ) => 572.58/73.29 ( ![Xx:$i]: ( ( Q @ Xx ) & ( P @ Xx ) ) ) ) ) & 572.58/73.29 ( cODD @ ( cS @ c0 ) ) & 572.58/73.29 ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) ) => 572.58/73.29 ( ![Xn:$i]: ( cNUMBER @ Xn ) ) )), 572.58/73.29 inference('cnf.neg', [status(esa)], [cEVEN_ODD_4])). 572.58/73.29 thf(zip_derived_cl0, plain, 572.58/73.29 (~ (((((cEVEN @ c0) & 572.58/73.29 (((!!) @ (^[Y0 : $i]: (((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0)))))))) & 572.58/73.29 (((!!) @ (^[Y0 : $i]: 572.58/73.29 (((cNUMBER @ Y0) <=> (((cODD @ Y0) | (cEVEN @ Y0)))))))) & 572.58/73.29 (((!!) @ (^[Y0 : $i > $o]: 572.58/73.29 (((!!) @ (^[Y1 : $i > $o]: 572.58/73.29 (((((Y0 @ c0) & (Y1 @ c0) & 572.58/73.29 (((!!) @ (^[Y2 : $i]: 572.58/73.29 (((((Y0 @ Y2) & (Y1 @ Y2))) => 572.58/73.29 (((Y1 @ (cS @ Y2)) & 572.58/73.29 (Y0 @ (cS @ Y2))))))))))) => 572.58/73.29 (((!!) @ (^[Y2 : $i]: 572.58/73.29 (((Y1 @ Y2) & (Y0 @ Y2)))))))))))))) & 572.58/73.29 (cODD @ (cS @ c0)) & 572.58/73.29 (((!!) @ (^[Y0 : $i]: 572.58/73.29 (((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))))))) => 572.58/73.29 (((!!) @ (^[Y0 : $i]: (cNUMBER @ Y0))))))), 572.58/73.29 inference('cnf', [status(esa)], [zf_stmt_0])). 572.58/73.29 thf(zip_derived_cl1, plain, 572.58/73.29 ( (((cEVEN @ c0) & 572.58/73.29 (((!!) @ (^[Y0 : $i]: (((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0)))))))) & 572.58/73.29 (((!!) @ (^[Y0 : $i]: 572.58/73.29 (((cNUMBER @ Y0) <=> (((cODD @ Y0) | (cEVEN @ Y0)))))))) & 572.58/73.29 (((!!) @ (^[Y0 : $i > $o]: 572.58/73.29 (((!!) @ (^[Y1 : $i > $o]: 572.58/73.29 (((((Y0 @ c0) & (Y1 @ c0) & 572.58/73.29 (((!!) @ (^[Y2 : $i]: 572.58/73.29 (((((Y0 @ Y2) & (Y1 @ Y2))) => 572.58/73.29 (((Y1 @ (cS @ Y2)) & (Y0 @ 572.58/73.29 (cS @ Y2))))))))))) => 572.58/73.29 (((!!) @ (^[Y2 : $i]: 572.58/73.29 (((Y1 @ Y2) & (Y0 @ Y2)))))))))))))) & 572.58/73.29 (cODD @ (cS @ c0)) & 572.58/73.29 (((!!) @ (^[Y0 : $i]: (((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0))))))))))), 572.58/73.29 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 572.58/73.29 thf(zip_derived_cl5, plain, 572.58/73.29 ( (((!!) @ (^[Y0 : $i]: 572.58/73.29 (((cNUMBER @ Y0) <=> (((cODD @ Y0) | (cEVEN @ Y0))))))))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 572.58/73.29 thf(zip_derived_cl11, plain, 572.58/73.29 (![X2 : $i]: (((cNUMBER @ X2) <=> (((cODD @ X2) | (cEVEN @ X2)))))), 572.58/73.29 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 572.58/73.29 thf(zip_derived_cl15, plain, 572.58/73.29 (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))), 572.58/73.29 inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])). 572.58/73.29 thf(zip_derived_cl38, plain, 572.58/73.29 (![X2 : $i]: ( (cNUMBER @ X2) | ~ (((cODD @ X2) | (cEVEN @ X2))))), 572.58/73.29 inference('eq_elim', [status(thm)], [zip_derived_cl15])). 572.58/73.29 thf(zip_derived_cl300, plain, 572.58/73.29 (![X2 : $i]: (~ (cODD @ X2) | (cNUMBER @ X2))), 572.58/73.29 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl38])). 572.58/73.29 thf(zip_derived_cl2, plain, (~ (((!!) @ (^[Y0 : $i]: (cNUMBER @ Y0))))), 572.58/73.29 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 572.58/73.29 thf(zip_derived_cl9, plain, (~ (cNUMBER @ '#sk1')), 572.58/73.29 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 572.58/73.29 thf(zip_derived_cl302, plain, (~ (cODD @ '#sk1')), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl300, zip_derived_cl9])). 572.58/73.29 thf(zip_derived_cl15, plain, 572.58/73.29 (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))), 572.58/73.29 inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])). 572.58/73.29 thf(zip_derived_cl40, plain, 572.58/73.29 (![X2 : $i]: 572.58/73.29 ( (cODD @ X2) | ((cNUMBER @ X2) = ((($false) | (cEVEN @ X2)))))), 572.58/73.29 inference('bool_hoist', [status(thm)], [zip_derived_cl15])). 572.58/73.29 thf(zip_derived_cl41, plain, 572.58/73.29 (![X2 : $i]: ( (cODD @ X2) | ((cNUMBER @ X2) = (cEVEN @ X2)))), 572.58/73.29 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl40])). 572.58/73.29 thf(zip_derived_cl6, plain, 572.58/73.29 ( (((!!) @ (^[Y0 : $i > $o]: 572.58/73.29 (((!!) @ (^[Y1 : $i > $o]: 572.58/73.29 (((((Y0 @ c0) & (Y1 @ c0) & 572.58/73.29 (((!!) @ (^[Y2 : $i]: 572.58/73.29 (((((Y0 @ Y2) & (Y1 @ Y2))) => 572.58/73.29 (((Y1 @ (cS @ Y2)) & (Y0 @ 572.58/73.29 (cS @ Y2))))))))))) => 572.58/73.29 (((!!) @ (^[Y2 : $i]: 572.58/73.29 (((Y1 @ Y2) & (Y0 @ Y2))))))))))))))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 572.58/73.29 thf(zip_derived_cl12, plain, 572.58/73.29 (![X2 : $i > $o]: 572.58/73.29 (((!!) @ (^[Y0 : $i > $o]: 572.58/73.29 (((((X2 @ c0) & (Y0 @ c0) & 572.58/73.29 (((!!) @ (^[Y1 : $i]: 572.58/73.29 (((((X2 @ Y1) & (Y0 @ Y1))) => 572.58/73.29 (((Y0 @ (cS @ Y1)) & (X2 @ (cS @ Y1))))))))))) => 572.58/73.29 (((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) & (X2 @ Y1)))))))))))), 572.58/73.29 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 572.58/73.29 thf(zip_derived_cl16, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o]: 572.58/73.29 (((((X2 @ c0) & (X4 @ c0) & 572.58/73.29 (((!!) @ (^[Y0 : $i]: 572.58/73.29 (((((X2 @ Y0) & (X4 @ Y0))) => 572.58/73.29 (((X4 @ (cS @ Y0)) & (X2 @ (cS @ Y0))))))))))) => 572.58/73.29 (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0))))))))), 572.58/73.29 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 572.58/73.29 thf(zip_derived_cl18, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o]: 572.58/73.29 (~ (((X2 @ c0) & (X4 @ c0) & 572.58/73.29 (((!!) @ (^[Y0 : $i]: 572.58/73.29 (((((X2 @ Y0) & (X4 @ Y0))) => 572.58/73.29 (((X4 @ (cS @ Y0)) & (X2 @ (cS @ Y0))))))))))) 572.58/73.29 | (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))))), 572.58/73.29 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 572.58/73.29 thf(zip_derived_cl19, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o]: 572.58/73.29 (~ (X2 @ c0) 572.58/73.29 | ~ (X4 @ c0) 572.58/73.29 | ~ (((!!) @ (^[Y0 : $i]: 572.58/73.29 (((((X2 @ Y0) & (X4 @ Y0))) => 572.58/73.29 (((X4 @ (cS @ Y0)) & (X2 @ (cS @ Y0))))))))) 572.58/73.29 | (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 572.58/73.29 thf(zip_derived_cl20, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o]: 572.58/73.29 (~ (((((X2 @ ('#sk23' @ X2 @ X4)) & (X4 @ ('#sk23' @ X2 @ X4)))) => 572.58/73.29 (((X4 @ (cS @ ('#sk23' @ X2 @ X4))) & (X2 @ 572.58/73.29 (cS @ ('#sk23' @ X2 @ X4))))))) 572.58/73.29 | (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))) 572.58/73.29 | ~ (X4 @ c0) 572.58/73.29 | ~ (X2 @ c0))), 572.58/73.29 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 572.58/73.29 thf(zip_derived_cl21, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o]: 572.58/73.29 ( (((X2 @ ('#sk23' @ X2 @ X4)) & (X4 @ ('#sk23' @ X2 @ X4)))) 572.58/73.29 | ~ (X2 @ c0) 572.58/73.29 | ~ (X4 @ c0) 572.58/73.29 | (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))))), 572.58/73.29 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 572.58/73.29 thf(zip_derived_cl24, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o]: 572.58/73.29 ( (X4 @ ('#sk23' @ X2 @ X4)) 572.58/73.29 | (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))) 572.58/73.29 | ~ (X4 @ c0) 572.58/73.29 | ~ (X2 @ c0))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 572.58/73.29 thf(zip_derived_cl27, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 572.58/73.29 ( (((X4 @ X6) & (X2 @ X6))) 572.58/73.29 | ~ (X2 @ c0) 572.58/73.29 | ~ (X4 @ c0) 572.58/73.29 | (X4 @ ('#sk23' @ X2 @ X4)))), 572.58/73.29 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 572.58/73.29 thf(zip_derived_cl31, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 572.58/73.29 ( (X4 @ X6) | (X4 @ ('#sk23' @ X2 @ X4)) | ~ (X4 @ c0) | ~ (X2 @ c0))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])). 572.58/73.29 thf(zip_derived_cl36, plain, 572.58/73.29 (![X0 : $i > $o, X1 : $i > $o]: 572.58/73.29 (~ (X0 @ c0) | (X1 @ ('#sk23' @ X0 @ X1)) | ~ (X1 @ c0))), 572.58/73.29 inference('condensation', [status(thm)], [zip_derived_cl31])). 572.58/73.29 thf(zip_derived_cl41, plain, 572.58/73.29 (![X2 : $i]: ( (cODD @ X2) | ((cNUMBER @ X2) = (cEVEN @ X2)))), 572.58/73.29 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl40])). 572.58/73.29 thf(zip_derived_cl53, plain, 572.58/73.29 (![X2 : $i]: (~ (cNUMBER @ X2) | (cEVEN @ X2) | (cODD @ X2))), 572.58/73.29 inference('eq_elim', [status(thm)], [zip_derived_cl41])). 572.58/73.29 thf(zip_derived_cl1863, plain, 572.58/73.29 (![X0 : $i > $o]: 572.58/73.29 (~ (cNUMBER @ c0) 572.58/73.29 | ~ (X0 @ c0) 572.58/73.29 | (cODD @ ('#sk23' @ X0 @ cNUMBER)) 572.58/73.29 | (cEVEN @ ('#sk23' @ X0 @ cNUMBER)))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl53])). 572.58/73.29 thf(zip_derived_cl2653, plain, 572.58/73.29 (![X0 : $i > $o]: 572.58/73.29 (~ (cEVEN @ c0) 572.58/73.29 | (cODD @ c0) 572.58/73.29 | (cEVEN @ ('#sk23' @ X0 @ cNUMBER)) 572.58/73.29 | (cODD @ ('#sk23' @ X0 @ cNUMBER)) 572.58/73.29 | ~ (X0 @ c0))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl1863])). 572.58/73.29 thf(zip_derived_cl3, plain, ( (cEVEN @ c0)), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 572.58/73.29 thf(zip_derived_cl2661, plain, 572.58/73.29 (![X0 : $i > $o]: 572.58/73.29 ( (cODD @ c0) 572.58/73.29 | (cEVEN @ ('#sk23' @ X0 @ cNUMBER)) 572.58/73.29 | (cODD @ ('#sk23' @ X0 @ cNUMBER)) 572.58/73.29 | ~ (X0 @ c0))), 572.58/73.29 inference('demod', [status(thm)], [zip_derived_cl2653, zip_derived_cl3])). 572.58/73.29 thf(zip_derived_cl300, plain, 572.58/73.29 (![X2 : $i]: (~ (cODD @ X2) | (cNUMBER @ X2))), 572.58/73.29 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl38])). 572.58/73.29 thf(zip_derived_cl1863, plain, 572.58/73.29 (![X0 : $i > $o]: 572.58/73.29 (~ (cNUMBER @ c0) 572.58/73.29 | ~ (X0 @ c0) 572.58/73.29 | (cODD @ ('#sk23' @ X0 @ cNUMBER)) 572.58/73.29 | (cEVEN @ ('#sk23' @ X0 @ cNUMBER)))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl53])). 572.58/73.29 thf(zip_derived_cl2652, plain, 572.58/73.29 (![X0 : $i > $o]: 572.58/73.29 (~ (cODD @ c0) 572.58/73.29 | (cEVEN @ ('#sk23' @ X0 @ cNUMBER)) 572.58/73.29 | (cODD @ ('#sk23' @ X0 @ cNUMBER)) 572.58/73.29 | ~ (X0 @ c0))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl300, zip_derived_cl1863])). 572.58/73.29 thf(zip_derived_cl3329, plain, 572.58/73.29 (![X0 : $i > $o]: 572.58/73.29 (~ (X0 @ c0) 572.58/73.29 | (cODD @ ('#sk23' @ X0 @ cNUMBER)) 572.58/73.29 | (cEVEN @ ('#sk23' @ X0 @ cNUMBER)))), 572.58/73.29 inference('clc', [status(thm)], [zip_derived_cl2661, zip_derived_cl2652])). 572.58/73.29 thf(zip_derived_cl8, plain, 572.58/73.29 ( (((!!) @ (^[Y0 : $i]: (((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0))))))))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 572.58/73.29 thf(zip_derived_cl13, plain, 572.58/73.29 (![X2 : $i]: (((cEVEN @ X2) => (cEVEN @ (cS @ (cS @ X2)))))), 572.58/73.29 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 572.58/73.29 thf(zip_derived_cl17, plain, 572.58/73.29 (![X2 : $i]: (~ (cEVEN @ X2) | (cEVEN @ (cS @ (cS @ X2))))), 572.58/73.29 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 572.58/73.29 thf(zip_derived_cl301, plain, 572.58/73.29 (![X2 : $i]: (~ (cEVEN @ X2) | (cNUMBER @ X2))), 572.58/73.29 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl38])). 572.58/73.29 thf(zip_derived_cl7, plain, ( (cODD @ (cS @ c0))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 572.58/73.29 thf(zip_derived_cl300, plain, 572.58/73.29 (![X2 : $i]: (~ (cODD @ X2) | (cNUMBER @ X2))), 572.58/73.29 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl38])). 572.58/73.29 thf(zip_derived_cl3, plain, ( (cEVEN @ c0)), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 572.58/73.29 thf(zip_derived_cl301, plain, 572.58/73.29 (![X2 : $i]: (~ (cEVEN @ X2) | (cNUMBER @ X2))), 572.58/73.29 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl38])). 572.58/73.29 thf(zip_derived_cl23, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o]: 572.58/73.29 ( (X2 @ ('#sk23' @ X2 @ X4)) 572.58/73.29 | (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))) 572.58/73.29 | ~ (X4 @ c0) 572.58/73.29 | ~ (X2 @ c0))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 572.58/73.29 thf(zip_derived_cl26, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 572.58/73.29 ( (((X4 @ X6) & (X2 @ X6))) 572.58/73.29 | ~ (X2 @ c0) 572.58/73.29 | ~ (X4 @ c0) 572.58/73.29 | (X2 @ ('#sk23' @ X2 @ X4)))), 572.58/73.29 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])). 572.58/73.29 thf(zip_derived_cl30, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 572.58/73.29 ( (X2 @ X6) | (X2 @ ('#sk23' @ X2 @ X4)) | ~ (X4 @ c0) | ~ (X2 @ c0))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 572.58/73.29 thf(zip_derived_cl35, plain, 572.58/73.29 (![X0 : $i > $o, X1 : $i > $o]: 572.58/73.29 (~ (X0 @ c0) | (X0 @ ('#sk23' @ X0 @ X1)) | ~ (X1 @ c0))), 572.58/73.29 inference('condensation', [status(thm)], [zip_derived_cl30])). 572.58/73.29 thf(zip_derived_cl1686, plain, 572.58/73.29 (![X0 : $i > $o]: 572.58/73.29 ( (X0 @ ('#sk23' @ X0 @ (^[Y0 : $i]: ($true)))) 572.58/73.29 | ~ ((^[Y0 : $i]: ($true)) @ c0) 572.58/73.29 | ~ (X0 @ c0))), 572.58/73.29 inference('eq_fact', [status(thm)], [zip_derived_cl35])). 572.58/73.29 thf(zip_derived_cl1706, plain, 572.58/73.29 (![X0 : $i > $o]: 572.58/73.29 ( (X0 @ ('#sk23' @ X0 @ (^[Y0 : $i]: ($true)))) | ~ (X0 @ c0))), 572.58/73.29 inference('ho_norm', [status(thm)], [zip_derived_cl1686])). 572.58/73.29 thf(zip_derived_cl2234, plain, 572.58/73.29 (![X0 : $i > $i]: 572.58/73.29 (~ (cEVEN @ (X0 @ c0)) 572.58/73.29 | ((^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ 572.58/73.29 ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ 572.58/73.29 (^[Y0 : $i]: ($true)))))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl301, zip_derived_cl1706])). 572.58/73.29 thf(zip_derived_cl2282, plain, 572.58/73.29 (![X0 : $i > $i]: 572.58/73.29 (~ (cEVEN @ (X0 @ c0)) 572.58/73.29 | (cNUMBER @ 572.58/73.29 (X0 @ 572.58/73.29 ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ 572.58/73.29 (^[Y0 : $i]: ($true))))))), 572.58/73.29 inference('ho_norm', [status(thm)], [zip_derived_cl2234])). 572.58/73.29 thf(zip_derived_cl3465, plain, 572.58/73.29 ( (cNUMBER @ 572.58/73.29 ((^[Y0 : $i]: (c0)) @ 572.58/73.29 ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (c0)) @ Y0))) @ 572.58/73.29 (^[Y0 : $i]: ($true)))))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl2282])). 572.58/73.29 thf(zip_derived_cl3479, plain, ( (cNUMBER @ c0)), 572.58/73.29 inference('ho_norm', [status(thm)], [zip_derived_cl3465])). 572.58/73.29 thf(zip_derived_cl35, plain, 572.58/73.29 (![X0 : $i > $o, X1 : $i > $o]: 572.58/73.29 (~ (X0 @ c0) | (X0 @ ('#sk23' @ X0 @ X1)) | ~ (X1 @ c0))), 572.58/73.29 inference('condensation', [status(thm)], [zip_derived_cl30])). 572.58/73.29 thf(zip_derived_cl3508, plain, 572.58/73.29 (![X0 : $i > $o]: 572.58/73.29 ( (X0 @ 572.58/73.29 ('#sk23' @ X0 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))))) 572.58/73.29 | ~ (X0 @ c0))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl3479, zip_derived_cl35])). 572.58/73.29 thf(zip_derived_cl3549, plain, 572.58/73.29 (![X0 : $i > $o]: ( (X0 @ ('#sk23' @ X0 @ cNUMBER)) | ~ (X0 @ c0))), 572.58/73.29 inference('ho_norm', [status(thm)], [zip_derived_cl3508])). 572.58/73.29 thf(zip_derived_cl3772, plain, 572.58/73.29 (![X0 : $i > $i]: 572.58/73.29 (~ (cODD @ (X0 @ c0)) 572.58/73.29 | ((^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ 572.58/73.29 ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cNUMBER)))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl300, zip_derived_cl3549])). 572.58/73.29 thf(zip_derived_cl3823, plain, 572.58/73.29 (![X0 : $i > $i]: 572.58/73.29 (~ (cODD @ (X0 @ c0)) 572.58/73.29 | (cNUMBER @ 572.58/73.29 (X0 @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cNUMBER))))), 572.58/73.29 inference('ho_norm', [status(thm)], [zip_derived_cl3772])). 572.58/73.29 thf(zip_derived_cl3943, plain, 572.58/73.29 ( (cNUMBER @ 572.58/73.29 (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3823])). 572.58/73.29 thf(zip_derived_cl36, plain, 572.58/73.29 (![X0 : $i > $o, X1 : $i > $o]: 572.58/73.29 (~ (X0 @ c0) | (X1 @ ('#sk23' @ X0 @ X1)) | ~ (X1 @ c0))), 572.58/73.29 inference('condensation', [status(thm)], [zip_derived_cl31])). 572.58/73.29 thf(zip_derived_cl53, plain, 572.58/73.29 (![X2 : $i]: (~ (cNUMBER @ X2) | (cEVEN @ X2) | (cODD @ X2))), 572.58/73.29 inference('eq_elim', [status(thm)], [zip_derived_cl41])). 572.58/73.29 thf(zip_derived_cl22, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o]: 572.58/73.29 (~ (((X4 @ (cS @ ('#sk23' @ X2 @ X4))) & (X2 @ 572.58/73.29 (cS @ ('#sk23' @ X2 @ X4))))) 572.58/73.29 | ~ (X2 @ c0) 572.58/73.29 | ~ (X4 @ c0) 572.58/73.29 | (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))))), 572.58/73.29 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 572.58/73.29 thf(zip_derived_cl25, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o]: 572.58/73.29 (~ (X4 @ (cS @ ('#sk23' @ X2 @ X4))) 572.58/73.29 | ~ (X2 @ (cS @ ('#sk23' @ X2 @ X4))) 572.58/73.29 | (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))) 572.58/73.29 | ~ (X4 @ c0) 572.58/73.29 | ~ (X2 @ c0))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl22])). 572.58/73.29 thf(zip_derived_cl28, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 572.58/73.29 ( (((X4 @ X6) & (X2 @ X6))) 572.58/73.29 | ~ (X2 @ c0) 572.58/73.29 | ~ (X4 @ c0) 572.58/73.29 | ~ (X2 @ (cS @ ('#sk23' @ X2 @ X4))) 572.58/73.29 | ~ (X4 @ (cS @ ('#sk23' @ X2 @ X4))))), 572.58/73.29 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])). 572.58/73.29 thf(zip_derived_cl33, plain, 572.58/73.29 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 572.58/73.29 ( (X4 @ X6) 572.58/73.29 | ~ (X4 @ (cS @ ('#sk23' @ X2 @ X4))) 572.58/73.29 | ~ (X2 @ (cS @ ('#sk23' @ X2 @ X4))) 572.58/73.29 | ~ (X4 @ c0) 572.58/73.29 | ~ (X2 @ c0))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 572.58/73.29 thf(zip_derived_cl788, plain, 572.58/73.29 (![X0 : $i > $i, X1 : $i, X2 : $i > $o]: 572.58/73.29 ( (cODD @ (X0 @ X1)) 572.58/73.29 | (cEVEN @ (X0 @ X1)) 572.58/73.29 | ~ (X2 @ c0) 572.58/73.29 | ~ ((^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ c0) 572.58/73.29 | ~ (X2 @ (cS @ ('#sk23' @ X2 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0)))))) 572.58/73.29 | ~ ((^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ 572.58/73.29 (cS @ ('#sk23' @ X2 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0)))))))), 572.58/73.29 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl33])). 572.58/73.29 thf(zip_derived_cl1014, plain, 572.58/73.29 (![X0 : $i > $i, X1 : $i, X2 : $i > $o]: 572.58/73.29 ( (cODD @ (X0 @ X1)) 572.58/73.29 | (cEVEN @ (X0 @ X1)) 572.58/73.29 | ~ (X2 @ c0) 572.58/73.29 | ~ (cNUMBER @ (X0 @ c0)) 572.58/73.29 | ~ (X2 @ (cS @ ('#sk23' @ X2 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0)))))) 572.58/73.29 | ~ (cNUMBER @ 572.58/73.29 (X0 @ 572.58/73.29 (cS @ ('#sk23' @ X2 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))))))))), 572.58/73.29 inference('ho_norm', [status(thm)], [zip_derived_cl788])). 572.58/73.29 thf(zip_derived_cl37461, plain, 572.58/73.29 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]: 572.58/73.29 (~ ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (c0)) @ Y0))) @ c0) 572.58/73.29 | ~ (X0 @ c0) 572.58/73.29 | ~ (cNUMBER @ 572.58/73.29 ((^[Y0 : $i]: (Y0)) @ 572.58/73.29 (cS @ 572.58/73.29 ('#sk23' @ X1 @ 572.58/73.29 (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))))))) 572.58/73.29 | ~ (X1 @ 572.58/73.29 (cS @ 572.58/73.29 ('#sk23' @ X1 @ 572.58/73.29 (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0)))))) 572.58/73.29 | ~ (X1 @ c0) 572.58/73.29 | (cEVEN @ ((^[Y0 : $i]: (Y0)) @ X2)) 572.58/73.29 | (cODD @ ((^[Y0 : $i]: (Y0)) @ X2)))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl1014])). 572.58/73.29 thf(zip_derived_cl37584, plain, 572.58/73.29 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]: 572.58/73.29 (~ (cNUMBER @ c0) 572.58/73.29 | ~ (X0 @ c0) 572.58/73.29 | ~ (cNUMBER @ (cS @ ('#sk23' @ X1 @ cNUMBER))) 572.58/73.29 | ~ (X1 @ (cS @ ('#sk23' @ X1 @ cNUMBER))) 572.58/73.29 | ~ (X1 @ c0) 572.58/73.29 | (cEVEN @ X2) 572.58/73.29 | (cODD @ X2))), 572.58/73.29 inference('ho_norm', [status(thm)], [zip_derived_cl37461])). 572.58/73.29 thf(zip_derived_cl3479, plain, ( (cNUMBER @ c0)), 572.58/73.29 inference('ho_norm', [status(thm)], [zip_derived_cl3465])). 572.58/73.29 thf(zip_derived_cl37585, plain, 572.58/73.29 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]: 572.58/73.29 (~ (X0 @ c0) 572.58/73.29 | ~ (cNUMBER @ (cS @ ('#sk23' @ X1 @ cNUMBER))) 572.58/73.29 | ~ (X1 @ (cS @ ('#sk23' @ X1 @ cNUMBER))) 572.58/73.29 | ~ (X1 @ c0) 572.58/73.29 | (cEVEN @ X2) 572.58/73.29 | (cODD @ X2))), 572.58/73.29 inference('demod', [status(thm)], 572.58/73.29 [zip_derived_cl37584, zip_derived_cl3479])). 572.58/73.29 thf(zip_derived_cl37586, plain, 572.58/73.29 (![X0 : $o, X1 : $i > $o, X2 : $i]: 572.58/73.29 (~ ((^[Y0 : $i]: (X0)) @ c0) 572.58/73.29 | ~ (cNUMBER @ (cS @ ('#sk23' @ X1 @ cNUMBER))) 572.58/73.29 | ~ (X1 @ (cS @ ('#sk23' @ X1 @ cNUMBER))) 572.58/73.29 | ~ (X1 @ c0) 572.58/73.29 | (cEVEN @ X2) 572.58/73.29 | (cODD @ X2))), 572.58/73.29 inference('prune_arg_fun', [status(thm)], [zip_derived_cl37585])). 572.58/73.29 thf(zip_derived_cl37587, plain, 572.58/73.29 (![X0 : $o, X1 : $i > $o, X2 : $i]: 572.58/73.29 (~ (X0) 572.58/73.29 | ~ (cNUMBER @ (cS @ ('#sk23' @ X1 @ cNUMBER))) 572.58/73.29 | ~ (X1 @ (cS @ ('#sk23' @ X1 @ cNUMBER))) 572.58/73.29 | ~ (X1 @ c0) 572.58/73.29 | (cEVEN @ X2) 572.58/73.29 | (cODD @ X2))), 572.58/73.29 inference('ho_norm', [status(thm)], [zip_derived_cl37586])). 572.58/73.29 thf(zip_derived_cl47110, plain, 572.58/73.29 (![X0 : $i, X1 : $i > $o]: 572.58/73.29 ( (cODD @ X0) 572.58/73.29 | ~ (cNUMBER @ (cS @ ('#sk23' @ X1 @ cNUMBER))) 572.58/73.29 | ~ (X1 @ (cS @ ('#sk23' @ X1 @ cNUMBER))) 572.58/73.29 | ~ (X1 @ c0) 572.58/73.29 | (cEVEN @ X0))), 572.58/73.29 inference('condensation', [status(thm)], [zip_derived_cl37587])). 572.58/73.29 thf(zip_derived_cl47111, plain, 572.58/73.29 (![X0 : $i]: 572.58/73.29 ( (cEVEN @ X0) 572.58/73.29 | ~ ((^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ c0) 572.58/73.29 | ~ ((^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ 572.58/73.29 (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))) 572.58/73.29 | (cODD @ X0))), 572.58/73.29 inference('sup-', [status(thm)], 572.58/73.29 [zip_derived_cl3943, zip_derived_cl47110])). 572.58/73.29 thf(zip_derived_cl47156, plain, 572.58/73.29 (![X0 : $i]: 572.58/73.29 ( (cEVEN @ X0) 572.58/73.29 | ~ (cNUMBER @ (cS @ c0)) 572.58/73.29 | ~ (cNUMBER @ 572.58/73.29 (cS @ 572.58/73.29 (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) 572.58/73.29 | (cODD @ X0))), 572.58/73.29 inference('ho_norm', [status(thm)], [zip_derived_cl47111])). 572.58/73.29 thf(zip_derived_cl7, plain, ( (cODD @ (cS @ c0))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 572.58/73.29 thf(zip_derived_cl15, plain, 572.58/73.29 (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))), 572.58/73.29 inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])). 572.58/73.29 thf(zip_derived_cl37, plain, 572.58/73.29 (((cNUMBER @ (cS @ c0)) = ((($true) | (cEVEN @ (cS @ c0)))))), 572.58/73.29 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl15])). 572.58/73.29 thf(zip_derived_cl43, plain, ( (cNUMBER @ (cS @ c0))), 572.58/73.29 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl37])). 572.58/73.29 thf(zip_derived_cl47157, plain, 572.58/73.29 (![X0 : $i]: 572.58/73.29 ( (cEVEN @ X0) 572.58/73.29 | ~ (cNUMBER @ 572.58/73.29 (cS @ 572.58/73.29 (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) 572.58/73.29 | (cODD @ X0))), 572.58/73.29 inference('demod', [status(thm)], [zip_derived_cl47156, zip_derived_cl43])). 572.58/73.29 thf(zip_derived_cl47477, plain, 572.58/73.29 (![X0 : $i]: 572.58/73.29 (~ (cEVEN @ 572.58/73.29 (cS @ 572.58/73.29 (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) 572.58/73.29 | (cODD @ X0) 572.58/73.29 | (cEVEN @ X0))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl301, zip_derived_cl47157])). 572.58/73.29 thf(zip_derived_cl50004, plain, 572.58/73.29 (![X0 : $i]: 572.58/73.29 (~ (cEVEN @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) 572.58/73.29 | (cEVEN @ X0) 572.58/73.29 | (cODD @ X0))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl47477])). 572.58/73.29 thf(zip_derived_cl50164, plain, 572.58/73.29 (![X0 : $i]: 572.58/73.29 ( (cODD @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) 572.58/73.29 | ~ ((^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ c0) 572.58/73.29 | (cODD @ X0) 572.58/73.29 | (cEVEN @ X0))), 572.58/73.29 inference('sup-', [status(thm)], 572.58/73.29 [zip_derived_cl3329, zip_derived_cl50004])). 572.58/73.29 thf(zip_derived_cl50179, plain, 572.58/73.29 (![X0 : $i]: 572.58/73.29 ( (cODD @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) 572.58/73.29 | ~ (cNUMBER @ (cS @ c0)) 572.58/73.29 | (cODD @ X0) 572.58/73.29 | (cEVEN @ X0))), 572.58/73.29 inference('ho_norm', [status(thm)], [zip_derived_cl50164])). 572.58/73.29 thf(zip_derived_cl43, plain, ( (cNUMBER @ (cS @ c0))), 572.58/73.29 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl37])). 572.58/73.29 thf(zip_derived_cl50180, plain, 572.58/73.29 (![X0 : $i]: 572.58/73.29 ( (cODD @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) 572.58/73.29 | (cODD @ X0) 572.58/73.29 | (cEVEN @ X0))), 572.58/73.29 inference('demod', [status(thm)], [zip_derived_cl50179, zip_derived_cl43])). 572.58/73.29 thf(zip_derived_cl4, plain, 572.58/73.29 ( (((!!) @ (^[Y0 : $i]: (((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))))), 572.58/73.29 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 572.58/73.29 thf(zip_derived_cl10, plain, 572.58/73.29 (![X2 : $i]: (((cODD @ X2) => (cODD @ (cS @ (cS @ X2)))))), 572.58/73.29 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 572.58/73.29 thf(zip_derived_cl14, plain, 572.58/73.29 (![X2 : $i]: (~ (cODD @ X2) | (cODD @ (cS @ (cS @ X2))))), 572.58/73.29 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 572.58/73.29 thf(zip_derived_cl15, plain, 572.58/73.29 (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))), 572.58/73.29 inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])). 572.58/73.29 thf(zip_derived_cl45, plain, 572.58/73.29 (![X0 : $i]: 572.58/73.29 (((cNUMBER @ (cS @ (cS @ X0))) 572.58/73.29 = ((($true) | (cEVEN @ (cS @ (cS @ X0)))))) 572.58/73.29 | ~ (cODD @ X0))), 572.58/73.29 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl15])). 572.58/73.29 thf(zip_derived_cl47, plain, 572.58/73.29 (![X0 : $i]: ( (cNUMBER @ (cS @ (cS @ X0))) | ~ (cODD @ X0))), 572.58/73.29 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl45])). 572.58/73.29 thf(zip_derived_cl47157, plain, 572.58/73.29 (![X0 : $i]: 572.58/73.29 ( (cEVEN @ X0) 572.58/73.29 | ~ (cNUMBER @ 572.58/73.29 (cS @ 572.58/73.29 (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) 572.58/73.29 | (cODD @ X0))), 572.58/73.29 inference('demod', [status(thm)], [zip_derived_cl47156, zip_derived_cl43])). 572.58/73.29 thf(zip_derived_cl47472, plain, 572.58/73.29 (![X0 : $i]: 572.58/73.29 (~ (cODD @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) 572.58/73.29 | (cODD @ X0) 572.58/73.29 | (cEVEN @ X0))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl47157])). 572.58/73.29 thf(zip_derived_cl50303, plain, (![X0 : $i]: ( (cEVEN @ X0) | (cODD @ X0))), 572.58/73.29 inference('clc', [status(thm)], 572.58/73.29 [zip_derived_cl50180, zip_derived_cl47472])). 572.58/73.29 thf(zip_derived_cl41, plain, 572.58/73.29 (![X2 : $i]: ( (cODD @ X2) | ((cNUMBER @ X2) = (cEVEN @ X2)))), 572.58/73.29 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl40])). 572.58/73.29 thf(zip_derived_cl9, plain, (~ (cNUMBER @ '#sk1')), 572.58/73.29 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 572.58/73.29 thf(zip_derived_cl49, plain, ((~ (cEVEN @ '#sk1') | (cODD @ '#sk1'))), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl9])). 572.58/73.29 thf(zip_derived_cl302, plain, (~ (cODD @ '#sk1')), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl300, zip_derived_cl9])). 572.58/73.29 thf(zip_derived_cl358, plain, (~ (cEVEN @ '#sk1')), 572.58/73.29 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl302])). 572.58/73.29 thf(zip_derived_cl50305, plain, ( (cODD @ '#sk1')), 572.58/73.29 inference('sup-', [status(thm)], [zip_derived_cl50303, zip_derived_cl358])). 572.58/73.29 thf(zip_derived_cl50612, plain, ($false), 572.58/73.29 inference('demod', [status(thm)], 572.58/73.29 [zip_derived_cl302, zip_derived_cl50305])). 572.58/73.29 572.58/73.29 % SZS output end Refutation 572.58/73.29 572.58/73.29 572.58/73.29 % Terminating... 573.35/73.41 % Runner terminated. 573.35/73.42 % Zipperpin 1.5 exiting 573.35/73.42 EOF