0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3saUzIbqFW true 0.15/0.36 % Computer : n016.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 960 0.15/0.36 % WCLimit : 120 0.15/0.36 % DateTime : Tue Aug 9 07:03:57 EDT 2022 0.15/0.36 % CPUTime : 0.15/0.36 % Running portfolio for 960 s 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.36 % Number of cores: 8 0.15/0.37 % Python version: Python 3.6.8 0.15/0.37 % Running in HO mode 0.54/0.68 % Total configuration time : 828 0.54/0.68 % Estimated wc time : 1656 0.54/0.68 % Estimated cpu time (8 cpus) : 207.0 0.57/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.57/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 11.29/2.09 % Solved by lams/40_b.comb.sh. 11.29/2.09 % done 141 iterations in 1.265s 11.29/2.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 11.29/2.09 % SZS output start Refutation 11.29/2.09 thf(emptyset_type, type, emptyset: $i). 11.29/2.09 thf(omega_type, type, omega: $i). 11.29/2.09 thf('#sk1_type', type, '#sk1': $i). 11.29/2.09 thf(is_of_type, type, is_of: $i > ($i > $o) > $o). 11.29/2.09 thf(in_type, type, in: $i > $i > $o). 11.29/2.09 thf(e_is_type, type, e_is: $i > $i > $i > $o). 11.29/2.09 thf(ap_type, type, ap: $i > $i > $i). 11.29/2.09 thf(nat_type, type, nat: $i). 11.29/2.09 thf(d_Sep_type, type, d_Sep: $i > ($i > $o) > $i). 11.29/2.09 thf(binunion_type, type, binunion: $i > $i > $i). 11.29/2.09 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o). 11.29/2.09 thf(d_Sing_type, type, d_Sing: $i > $i). 11.29/2.09 thf(plus_type, type, plus: $i > $i). 11.29/2.09 thf(n_is_type, type, n_is: $i > $i > $o). 11.29/2.09 thf(ordsucc_type, type, ordsucc: $i > $i). 11.29/2.09 thf(n_pl_type, type, n_pl: $i > $i > $i). 11.29/2.09 thf('#sk2_type', type, '#sk2': $i). 11.29/2.09 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 11.29/2.09 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 11.29/2.09 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 11.29/2.09 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 11.29/2.09 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 11.29/2.09 thf(satz4b, axiom, 11.29/2.09 (all_of @ 11.29/2.09 ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 11.29/2.09 ( ^[X0:$i]: 11.29/2.09 ( all_of @ 11.29/2.09 ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 11.29/2.09 ( ^[X1:$i]: 11.29/2.09 ( n_is @ 11.29/2.09 ( n_pl @ X0 @ ( ordsucc @ X1 ) ) @ 11.29/2.09 ( ordsucc @ ( n_pl @ X0 @ X1 ) ) ) ) ) ))). 11.29/2.09 thf(zip_derived_cl81, plain, 11.29/2.09 ( (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ 11.29/2.09 (^[Y0 : $i]: 11.29/2.09 (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ 11.29/2.09 (^[Y1 : $i]: 11.29/2.09 (n_is @ (n_pl @ Y0 @ (ordsucc @ Y1)) @ 11.29/2.09 (ordsucc @ (n_pl @ Y0 @ Y1)))))))), 11.29/2.09 inference('cnf', [status(esa)], [satz4b])). 11.29/2.09 thf(zip_derived_cl82, plain, 11.29/2.09 ( (all_of @ ((('#C') @ in @ nat)) @ 11.29/2.09 ((('#B') @ (all_of @ ((('#C') @ in @ nat))) @ 11.29/2.09 ((('#S') @ ((('#B') @ ('#S') @ 11.29/2.09 ((('#B') @ ((('#B') @ n_is)) @ 11.29/2.09 ((('#C') @ ((('#B') @ ('#B') @ n_pl)) @ ordsucc)))))) @ 11.29/2.09 ((('#B') @ ((('#B') @ ordsucc)) @ n_pl)))))))), 11.29/2.09 inference('lams2combs', [status(thm)], [zip_derived_cl81])). 11.29/2.09 thf(def_nat, axiom,(( nat ) = 11.29/2.09 ((d_Sep @ omega @ (^[Y0 : $i]: (((Y0) != (emptyset)))))))). 11.29/2.09 thf('0', plain, 11.29/2.09 (( nat ) = ( d_Sep @ omega @ ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) ) )), 11.29/2.09 define([status(thm)])). 11.29/2.09 thf(zip_derived_cl237, plain, 11.29/2.09 ( (all_of @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @ 11.29/2.09 ((('#B') @ (all_of @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ ('#S') @ 11.29/2.09 ((('#B') @ ((('#B') @ n_is)) @ 11.29/2.09 ((('#C') @ ((('#B') @ ('#B') @ n_pl)) @ ordsucc)))))) @ 11.29/2.09 ((('#B') @ ((('#B') @ ordsucc)) @ n_pl)))))))), 11.29/2.09 inference('rw', [status(thm)], [zip_derived_cl82, '0'])). 11.29/2.09 thf(def_all_of, axiom, (all_of @ X0 @ X1) => 11.29/2.09 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) = ($true))). 11.29/2.09 thf('1', plain, 11.29/2.09 (![X0:( $i > $o ),X1:( $i > $o )]: 11.29/2.09 ( ( all_of @ X0 @ X1 ) <=> 11.29/2.09 ( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) )), 11.29/2.09 inference('rw.lit', [status(esa)], [def_all_of])). 11.29/2.09 thf(zip_derived_cl238, plain, 11.29/2.09 ( (((!!) @ (^[Y0 : $i]: 11.29/2.09 (((is_of @ Y0 @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) => 11.29/2.09 ((('#B') @ (all_of @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ 11.29/2.09 ((('#C') @ (!=) @ emptyset)))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ ('#S') @ 11.29/2.09 ((('#B') @ ((('#B') @ n_is)) @ 11.29/2.09 ((('#C') @ ((('#B') @ ('#B') @ n_pl)) @ 11.29/2.09 ordsucc)))))) @ 11.29/2.09 ((('#B') @ ((('#B') @ ordsucc)) @ n_pl)))) @ 11.29/2.09 Y0)))))))), 11.29/2.09 inference('rw_clause', [status(thm)], [zip_derived_cl237, '1'])). 11.29/2.09 thf(zip_derived_cl239, plain, 11.29/2.09 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 11.29/2.09 ((('#C') @ is_of @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))))))) @ 11.29/2.09 ((('#B') @ (all_of @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ ('#S') @ 11.29/2.09 ((('#B') @ ((('#B') @ n_is)) @ 11.29/2.09 ((('#C') @ ((('#B') @ ('#B') @ n_pl)) @ 11.29/2.09 ordsucc)))))) @ 11.29/2.09 ((('#B') @ ((('#B') @ ordsucc)) @ n_pl))))))))))), 11.29/2.09 inference('comb-normalize', [status(thm)], [zip_derived_cl238])). 11.29/2.09 thf(zip_derived_cl240, plain, 11.29/2.09 (![X2 : $i]: 11.29/2.09 (((is_of @ X2 @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) => 11.29/2.09 (all_of @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ n_is @ ((('#B') @ (n_pl @ X2) @ ordsucc)))) @ 11.29/2.09 ((('#B') @ ordsucc @ (n_pl @ X2))))))))), 11.29/2.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl239])). 11.29/2.09 thf(def_is_of, axiom,(( is_of @ (X1)@ (X0)) = ((X0 @ X1)))). 11.29/2.09 thf('2', plain, 11.29/2.09 (![X0:( $i > $o ),X1:$i]: ( ( is_of @ X1 @ X0 ) = ( X0 @ X1 ) )), 11.29/2.09 define([status(thm)])). 11.29/2.09 thf(zip_derived_cl241, plain, 11.29/2.09 (![X2 : $i]: 11.29/2.09 (((in @ X2 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) => 11.29/2.09 (all_of @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ n_is @ ((('#B') @ (n_pl @ X2) @ ordsucc)))) @ 11.29/2.09 ((('#B') @ ordsucc @ (n_pl @ X2))))))))), 11.29/2.09 inference('rw', [status(thm)], [zip_derived_cl240, '2'])). 11.29/2.09 thf(zip_derived_cl242, plain, 11.29/2.09 (![X2 : $i]: 11.29/2.09 (~ (in @ X2 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) 11.29/2.09 | (all_of @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ n_is @ ((('#B') @ (n_pl @ X2) @ ordsucc)))) @ 11.29/2.09 ((('#B') @ ordsucc @ (n_pl @ X2)))))))), 11.29/2.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl241])). 11.29/2.09 thf(zip_derived_cl243, plain, 11.29/2.09 (![X0 : $i]: 11.29/2.09 ( (((!!) @ (^[Y0 : $i]: 11.29/2.09 (((is_of @ Y0 @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) => 11.29/2.09 ((('#S') @ ((('#B') @ n_is @ 11.29/2.09 ((('#B') @ (n_pl @ X0) @ ordsucc)))) @ 11.29/2.09 ((('#B') @ ordsucc @ (n_pl @ X0))) @ Y0))))))) 11.29/2.09 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))), 11.29/2.09 inference('rw_clause', [status(thm)], [zip_derived_cl242, '1'])). 11.29/2.09 thf(zip_derived_cl244, plain, 11.29/2.09 (![X0 : $i]: 11.29/2.09 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 11.29/2.09 ((('#C') @ is_of @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ 11.29/2.09 ((('#C') @ (!=) @ emptyset))))))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ n_is @ 11.29/2.09 ((('#B') @ (n_pl @ X0) @ ordsucc)))) @ 11.29/2.09 ((('#B') @ ordsucc @ (n_pl @ X0))))))))) 11.29/2.09 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))), 11.29/2.09 inference('comb-normalize', [status(thm)], [zip_derived_cl243])). 11.29/2.09 thf(zip_derived_cl245, plain, 11.29/2.09 (![X0 : $i, X2 : $i]: 11.29/2.09 ( (((is_of @ X2 @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) => 11.29/2.09 (n_is @ (n_pl @ X0 @ (ordsucc @ X2)) @ 11.29/2.09 (ordsucc @ (n_pl @ X0 @ X2))))) 11.29/2.09 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))), 11.29/2.09 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl244])). 11.29/2.09 thf(def_ordsucc, axiom,(( ordsucc @ (X0)) = 11.29/2.09 ((binunion @ X0 @ (d_Sing @ X0))))). 11.29/2.09 thf('3', plain, 11.29/2.09 (![X0:$i]: ( ( ordsucc @ X0 ) = ( binunion @ X0 @ ( d_Sing @ X0 ) ) )), 11.29/2.09 define([status(thm)])). 11.29/2.09 thf(def_e_is, axiom,(( e_is @ (X2)@ (X0)@ (X1)) = ((((X0) = (X1)))))). 11.29/2.09 thf('4', plain, 11.29/2.09 (![X2:$i,X1:$i,X0:$i]: ( ( e_is @ X2 @ X0 @ X1 ) = ( ( X0 ) = ( X1 ) ) )), 11.29/2.09 define([status(thm)])). 11.29/2.09 thf(def_n_is, axiom,(( n_is @ (X0)@ (X1)) = ((e_is @ nat @ X0 @ X1)))). 11.29/2.09 thf('5', plain, 11.29/2.09 (![X1:$i,X0:$i]: ( ( n_is @ X0 @ X1 ) = ( e_is @ nat @ X0 @ X1 ) )), 11.29/2.09 define([status(thm)])). 11.29/2.09 thf(def_n_pl, axiom,(( n_pl @ (X0)@ (X1)) = ((ap @ (plus @ X0) @ X1)))). 11.29/2.09 thf('6', plain, 11.29/2.09 (![X1:$i,X0:$i]: ( ( n_pl @ X0 @ X1 ) = ( ap @ ( plus @ X0 ) @ X1 ) )), 11.29/2.09 define([status(thm)])). 11.29/2.09 thf(zip_derived_cl246, plain, 11.29/2.09 (![X0 : $i, X2 : $i]: 11.29/2.09 ( (((in @ X2 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) => 11.29/2.09 (((ap @ (plus @ X0) @ (binunion @ X2 @ (d_Sing @ X2))) = 11.29/2.09 (binunion @ (ap @ (plus @ X0) @ X2) @ 11.29/2.09 (d_Sing @ (ap @ (plus @ X0) @ X2))))))) 11.29/2.09 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))), 11.29/2.09 inference('rw', [status(thm)], 11.29/2.09 [zip_derived_cl245, '2', '3', '3', '4', '0', '5', '6', '6'])). 11.29/2.09 thf(zip_derived_cl247, plain, 11.29/2.09 (![X0 : $i, X2 : $i]: 11.29/2.09 (~ (in @ X2 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) 11.29/2.09 | (((ap @ (plus @ X0) @ (binunion @ X2 @ (d_Sing @ X2))) = 11.29/2.09 (binunion @ (ap @ (plus @ X0) @ X2) @ 11.29/2.09 (d_Sing @ (ap @ (plus @ X0) @ X2))))) 11.29/2.09 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))), 11.29/2.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl246])). 11.29/2.09 thf(zip_derived_cl248, plain, 11.29/2.09 (![X0 : $i, X2 : $i]: 11.29/2.09 (~ (in @ X2 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) 11.29/2.09 | ((ap @ (plus @ X0) @ (binunion @ X2 @ (d_Sing @ X2))) 11.29/2.09 = (binunion @ (ap @ (plus @ X0) @ X2) @ 11.29/2.09 (d_Sing @ (ap @ (plus @ X0) @ X2)))) 11.29/2.09 | ~ (in @ X0 @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))), 11.29/2.09 inference('simplify nested equalities', [status(thm)], 11.29/2.09 [zip_derived_cl247])). 11.29/2.09 thf(satz4f, conjecture, 11.29/2.09 (all_of @ 11.29/2.09 ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 11.29/2.09 ( ^[X0:$i]: 11.29/2.09 ( all_of @ 11.29/2.09 ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 11.29/2.09 ( ^[X1:$i]: 11.29/2.09 ( n_is @ 11.29/2.09 ( ordsucc @ ( n_pl @ X0 @ X1 ) ) @ 11.29/2.09 ( n_pl @ X0 @ ( ordsucc @ X1 ) ) ) ) ) ))). 11.29/2.09 thf(zf_stmt_0, negated_conjecture, 11.29/2.09 (~( all_of @ 11.29/2.09 ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 11.29/2.09 ( ^[X0:$i]: 11.29/2.09 ( all_of @ 11.29/2.09 ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 11.29/2.09 ( ^[X1:$i]: 11.29/2.09 ( n_is @ 11.29/2.09 ( ordsucc @ ( n_pl @ X0 @ X1 ) ) @ 11.29/2.09 ( n_pl @ X0 @ ( ordsucc @ X1 ) ) ) ) ) ) )), 11.29/2.09 inference('cnf.neg', [status(esa)], [satz4f])). 11.29/2.09 thf(zip_derived_cl85, plain, 11.29/2.09 (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ 11.29/2.09 (^[Y0 : $i]: 11.29/2.09 (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ 11.29/2.09 (^[Y1 : $i]: 11.29/2.09 (n_is @ (ordsucc @ (n_pl @ Y0 @ Y1)) @ 11.29/2.09 (n_pl @ Y0 @ (ordsucc @ Y1)))))))), 11.29/2.09 inference('cnf', [status(esa)], [zf_stmt_0])). 11.29/2.09 thf(zip_derived_cl86, plain, 11.29/2.09 (~ (all_of @ ((('#C') @ in @ nat)) @ 11.29/2.09 ((('#B') @ (all_of @ ((('#C') @ in @ nat))) @ 11.29/2.09 ((('#S') @ ((('#B') @ ('#S') @ 11.29/2.09 ((('#B') @ ((('#B') @ n_is)) @ 11.29/2.09 ((('#B') @ ((('#B') @ ordsucc)) @ n_pl)))))) @ 11.29/2.09 ((('#C') @ ((('#B') @ ('#B') @ n_pl)) @ ordsucc)))))))), 11.29/2.09 inference('lams2combs', [status(thm)], [zip_derived_cl85])). 11.29/2.09 thf(zip_derived_cl152, plain, 11.29/2.09 (~ (all_of @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @ 11.29/2.09 ((('#B') @ (all_of @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ ('#S') @ 11.29/2.09 ((('#B') @ ((('#B') @ n_is)) @ 11.29/2.09 ((('#B') @ ((('#B') @ ordsucc)) @ n_pl)))))) @ 11.29/2.09 ((('#C') @ ((('#B') @ ('#B') @ n_pl)) @ ordsucc)))))))), 11.29/2.09 inference('rw', [status(thm)], [zip_derived_cl86, '0'])). 11.29/2.09 thf(def_all_of, axiom, ~ (all_of @ X0 @ X1) => 11.29/2.09 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) != ($true))). 11.29/2.09 thf('7', plain, 11.29/2.09 (![X0:( $i > $o ),X1:( $i > $o )]: 11.29/2.09 ( ( ~( all_of @ X0 @ X1 ) ) <=> 11.29/2.09 ( ~( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) ) )), 11.29/2.09 inference('rw.lit', [status(esa)], [def_all_of])). 11.29/2.09 thf(zip_derived_cl153, plain, 11.29/2.09 (~ (((!!) @ (^[Y0 : $i]: 11.29/2.09 (((is_of @ Y0 @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) => 11.29/2.09 ((('#B') @ (all_of @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ 11.29/2.09 ((('#C') @ (!=) @ emptyset)))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ ('#S') @ 11.29/2.09 ((('#B') @ ((('#B') @ n_is)) @ 11.29/2.09 ((('#B') @ ((('#B') @ ordsucc)) @ n_pl)))))) @ 11.29/2.09 ((('#C') @ ((('#B') @ ('#B') @ n_pl)) @ ordsucc)))) @ 11.29/2.09 Y0)))))))), 11.29/2.09 inference('rw_clause', [status(thm)], [zip_derived_cl152, '7'])). 11.29/2.09 thf(zip_derived_cl154, plain, 11.29/2.09 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 11.29/2.09 ((('#C') @ is_of @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ 11.29/2.09 ((('#C') @ (!=) @ emptyset))))))))) @ 11.29/2.09 ((('#B') @ (all_of @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ ('#S') @ 11.29/2.09 ((('#B') @ ((('#B') @ n_is)) @ 11.29/2.09 ((('#B') @ ((('#B') @ ordsucc)) @ n_pl)))))) @ 11.29/2.09 ((('#C') @ ((('#B') @ ('#B') @ n_pl)) @ ordsucc))))))))))), 11.29/2.09 inference('comb-normalize', [status(thm)], [zip_derived_cl153])). 11.29/2.09 thf(zip_derived_cl155, plain, 11.29/2.09 (~ (((is_of @ '#sk1' @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) => 11.29/2.09 (all_of @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ n_is @ ((('#B') @ ordsucc @ (n_pl @ '#sk1'))))) @ 11.29/2.09 ((('#B') @ (n_pl @ '#sk1') @ ordsucc)))))))), 11.29/2.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl154])). 11.29/2.09 thf(zip_derived_cl156, plain, 11.29/2.09 (~ (((in @ '#sk1' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) => 11.29/2.09 (all_of @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ n_is @ ((('#B') @ ordsucc @ (n_pl @ '#sk1'))))) @ 11.29/2.09 ((('#B') @ (n_pl @ '#sk1') @ ordsucc)))))))), 11.29/2.09 inference('rw', [status(thm)], [zip_derived_cl155, '2'])). 11.29/2.09 thf(zip_derived_cl158, plain, 11.29/2.09 (~ (all_of @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ n_is @ ((('#B') @ ordsucc @ (n_pl @ '#sk1'))))) @ 11.29/2.09 ((('#B') @ (n_pl @ '#sk1') @ ordsucc)))))), 11.29/2.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl156])). 11.29/2.09 thf(zip_derived_cl159, plain, 11.29/2.09 (~ (((!!) @ (^[Y0 : $i]: 11.29/2.09 (((is_of @ Y0 @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) => 11.29/2.09 ((('#S') @ ((('#B') @ n_is @ 11.29/2.09 ((('#B') @ ordsucc @ (n_pl @ '#sk1'))))) @ 11.29/2.09 ((('#B') @ (n_pl @ '#sk1') @ ordsucc)) @ Y0)))))))), 11.29/2.09 inference('rw_clause', [status(thm)], [zip_derived_cl158, '7'])). 11.29/2.09 thf(zip_derived_cl160, plain, 11.29/2.09 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 11.29/2.09 ((('#C') @ is_of @ 11.29/2.09 ((('#C') @ in @ 11.29/2.09 (d_Sep @ omega @ 11.29/2.09 ((('#C') @ (!=) @ emptyset))))))))) @ 11.29/2.09 ((('#S') @ ((('#B') @ n_is @ 11.29/2.09 ((('#B') @ ordsucc @ (n_pl @ '#sk1'))))) @ 11.29/2.09 ((('#B') @ (n_pl @ '#sk1') @ ordsucc))))))))), 11.29/2.09 inference('comb-normalize', [status(thm)], [zip_derived_cl159])). 11.29/2.09 thf(zip_derived_cl161, plain, 11.29/2.09 (~ (((is_of @ '#sk2' @ 11.29/2.09 ((('#C') @ in @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))) => 11.29/2.09 (n_is @ (ordsucc @ (n_pl @ '#sk1' @ '#sk2')) @ 11.29/2.09 (n_pl @ '#sk1' @ (ordsucc @ '#sk2')))))), 11.29/2.09 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl160])). 11.29/2.09 thf(zip_derived_cl162, plain, 11.29/2.09 (~ (((in @ '#sk2' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) => 11.29/2.09 (((binunion @ (ap @ (plus @ '#sk1') @ '#sk2') @ 11.29/2.09 (d_Sing @ (ap @ (plus @ '#sk1') @ '#sk2'))) = (ap @ 11.29/2.09 (plus @ '#sk1') @ (binunion @ '#sk2' @ (d_Sing @ '#sk2')))))))), 11.29/2.09 inference('rw', [status(thm)], 11.29/2.09 [zip_derived_cl161, '2', '3', '3', '4', '0', '5', '6', '6'])). 11.29/2.09 thf(zip_derived_cl164, plain, 11.29/2.09 (~ (((binunion @ (ap @ (plus @ '#sk1') @ '#sk2') @ 11.29/2.09 (d_Sing @ (ap @ (plus @ '#sk1') @ '#sk2'))) = (ap @ 11.29/2.09 (plus @ '#sk1') @ (binunion @ '#sk2' @ (d_Sing @ '#sk2')))))), 11.29/2.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl162])). 11.29/2.09 thf(zip_derived_cl165, plain, 11.29/2.09 (((binunion @ (ap @ (plus @ '#sk1') @ '#sk2') @ 11.29/2.09 (d_Sing @ (ap @ (plus @ '#sk1') @ '#sk2'))) 11.29/2.09 != (ap @ (plus @ '#sk1') @ (binunion @ '#sk2' @ (d_Sing @ '#sk2'))))), 11.29/2.09 inference('simplify nested equalities', [status(thm)], 11.29/2.09 [zip_derived_cl164])). 11.29/2.09 thf(zip_derived_cl2114, plain, 11.29/2.09 ((((ap @ (plus @ '#sk1') @ (binunion @ '#sk2' @ (d_Sing @ '#sk2'))) 11.29/2.09 != (ap @ (plus @ '#sk1') @ (binunion @ '#sk2' @ (d_Sing @ '#sk2')))) 11.29/2.09 | ~ (in @ '#sk1' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))) 11.29/2.09 | ~ (in @ '#sk2' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset)))))), 11.29/2.09 inference('sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl165])). 11.29/2.09 thf(zip_derived_cl157, plain, 11.29/2.09 ( (in @ '#sk1' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))), 11.29/2.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl156])). 11.29/2.09 thf(zip_derived_cl163, plain, 11.29/2.09 ( (in @ '#sk2' @ (d_Sep @ omega @ ((('#C') @ (!=) @ emptyset))))), 11.29/2.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl162])). 11.29/2.09 thf(zip_derived_cl2174, plain, 11.29/2.09 (((ap @ (plus @ '#sk1') @ (binunion @ '#sk2' @ (d_Sing @ '#sk2'))) 11.29/2.09 != (ap @ (plus @ '#sk1') @ (binunion @ '#sk2' @ (d_Sing @ '#sk2'))))), 11.29/2.09 inference('demod', [status(thm)], 11.29/2.09 [zip_derived_cl2114, zip_derived_cl157, zip_derived_cl163])). 11.29/2.09 thf(zip_derived_cl2175, plain, ($false), 11.29/2.09 inference('simplify', [status(thm)], [zip_derived_cl2174])). 11.29/2.09 11.29/2.09 % SZS output end Refutation 11.29/2.09 11.29/2.09 11.29/2.09 % Terminating... 11.77/2.20 % Runner terminated. 11.77/2.22 % Zipperpin 1.5 exiting 11.77/2.22 EOF