0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.17/0.18 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8ZMXMDs6o9 true 0.18/0.38 % Computer : n029.cluster.edu 0.18/0.38 % Model : x86_64 x86_64 0.18/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.38 % Memory : 8042.1875MB 0.18/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.18/0.39 % CPULimit : 1440 0.18/0.39 % WCLimit : 180 0.18/0.39 % DateTime : Thu Jul 4 10:52:09 EDT 2024 0.18/0.39 % CPUTime : 0.18/0.39 % Running portfolio for 1440 s 0.18/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.18/0.39 % Number of cores: 8 0.18/0.39 % Python version: Python 3.6.8 0.18/0.39 % Running in HO mode 0.58/0.68 % Total configuration time : 828 0.58/0.68 % Estimated wc time : 1656 0.58/0.68 % Estimated cpu time (8 cpus) : 207.0 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 23.24/3.60 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 241.15/31.15 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 319.84/41.25 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 478.84/61.50 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s 557.15/71.59 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s 557.46/71.64 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s 567.94/73.05 % Solved by lams/33_shallow_sine.sh. 567.94/73.05 % done 304 iterations in 1.390s 567.94/73.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 567.94/73.05 % SZS output start Refutation 567.94/73.05 thf(rt_is_type, type, rt_is: $i > $i > $o). 567.94/73.05 thf(inf_type, type, inf: $i > $i > $o). 567.94/73.05 thf(rt_lessis_type, type, rt_lessis: $i > $i > $o). 567.94/73.05 thf(moref_type, type, moref: $i > $i > $o). 567.94/73.05 thf(d_not_type, type, d_not: $o > $o). 567.94/73.05 thf(is_of_type, type, is_of: $i > ($i > $o) > $o). 567.94/73.05 thf(in_type, type, in: $i > $i > $o). 567.94/73.05 thf(and3_type, type, and3: $o > $o > $o > $o). 567.94/73.05 thf(rt_more_type, type, rt_more: $i > $i > $o). 567.94/73.05 thf(e_is_type, type, e_is: $i > $i > $i > $o). 567.94/73.05 thf(sk__4_type, type, sk__4: $i). 567.94/73.05 thf(l_or_type, type, l_or: $o > $o > $o). 567.94/73.05 thf(rt_moreis_type, type, rt_moreis: $i > $i > $o). 567.94/73.05 thf(rat_type, type, rat: $i). 567.94/73.05 thf(l_some_type, type, l_some: $i > ($i > $o) > $o). 567.94/73.05 thf(sk__2_type, type, sk__2: $i). 567.94/73.05 thf(frac_type, type, frac: $i). 567.94/73.05 thf(imp_type, type, imp: $o > $o > $o). 567.94/73.05 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o). 567.94/73.05 thf(rt_less_type, type, rt_less: $i > $i > $o). 567.94/73.05 thf(n_eq_type, type, n_eq: $i > $i > $o). 567.94/73.05 thf(class_type, type, class: $i > $i). 567.94/73.05 thf(sk__3_type, type, sk__3: $i). 567.94/73.05 thf(ect_type, type, ect: $i > ($i > $i > $o) > $i). 567.94/73.05 thf(def_rt_moreis, axiom,(( rt_moreis ) = 567.94/73.05 (^[X0:$i,X1:$i]: ( l_or @ ( rt_more @ X0 @ X1 ) @ ( rt_is @ X0 @ X1 ) )))). 567.94/73.05 thf(def_rt_more, axiom,(( rt_more ) = 567.94/73.05 (^[X0:$i,X1:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[X2:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[X3:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ X2 @ ( class @ X0 ) ) @ ( inf @ X3 @ ( class @ X1 ) ) @ 567.94/73.05 ( moref @ X2 @ X3 ) ) ) ) ) )))). 567.94/73.05 thf('0', plain, 567.94/73.05 (( rt_more ) = 567.94/73.05 ( ^[X0:$i,X1:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[X2:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[X3:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ X2 @ ( class @ X0 ) ) @ 567.94/73.05 ( inf @ X3 @ ( class @ X1 ) ) @ ( moref @ X2 @ X3 ) ) ) ) ) ) )), 567.94/73.05 inference('simplify_rw_rule', [status(thm)], [def_rt_more])). 567.94/73.05 thf('1', plain, 567.94/73.05 (( rt_more ) = 567.94/73.05 ( ^[V_1:$i,V_2:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_3:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_4:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ V_3 @ ( class @ V_1 ) ) @ 567.94/73.05 ( inf @ V_4 @ ( class @ V_2 ) ) @ ( moref @ V_3 @ V_4 ) ) ) ) ) ) )), 567.94/73.05 define([status(thm)])).thf(def_rt_is, axiom,(( rt_is ) = (e_is @ rat))). 567.94/73.05 thf(def_rat, axiom,(( rat ) = (ect @ frac @ n_eq))). 567.94/73.05 thf('2', plain, (( rat ) = ( ect @ frac @ n_eq )), 567.94/73.05 inference('simplify_rw_rule', [status(thm)], [def_rat])). 567.94/73.05 thf('3', plain, (( rat ) = ( ect @ frac @ n_eq )), define([status(thm)])). 567.94/73.05 thf('4', plain, (( rt_is ) = ( e_is @ rat )), 567.94/73.05 inference('simplify_rw_rule', [status(thm)], [def_rt_is, '3'])). 567.94/73.05 thf('5', plain, (( rt_is ) = ( e_is @ rat )), define([status(thm)])). 567.94/73.05 thf(def_l_or, axiom,(( l_or ) = (^[X0:$o]: ( imp @ ( d_not @ X0 ) )))). 567.94/73.05 thf('6', plain, (( l_or ) = ( ^[X0:$o]: ( imp @ ( d_not @ X0 ) ) )), 567.94/73.05 inference('simplify_rw_rule', [status(thm)], [def_l_or])). 567.94/73.05 thf('7', plain, (( l_or ) = ( ^[V_1:$o]: ( imp @ ( d_not @ V_1 ) ) )), 567.94/73.05 define([status(thm)])). 567.94/73.05 thf('8', plain, 567.94/73.05 (( rt_moreis ) = 567.94/73.05 ( ^[X0:$i,X1:$i]: ( l_or @ ( rt_more @ X0 @ X1 ) @ ( rt_is @ X0 @ X1 ) ) )), 567.94/73.05 inference('simplify_rw_rule', [status(thm)], 567.94/73.05 [def_rt_moreis, '1', '5', '3', '7'])). 567.94/73.05 thf('9', plain, 567.94/73.05 (( rt_moreis ) = 567.94/73.05 ( ^[V_1:$i,V_2:$i]: 567.94/73.05 ( l_or @ ( rt_more @ V_1 @ V_2 ) @ ( rt_is @ V_1 @ V_2 ) ) )), 567.94/73.05 define([status(thm)])). 567.94/73.05 thf(def_all_of, axiom,(( all_of ) = 567.94/73.05 (^[X0:( $i > $o ),X1:( $i > $o )]: 567.94/73.05 ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) )))). 567.94/73.05 thf('10', plain, 567.94/73.05 (( all_of ) = 567.94/73.05 ( ^[X0:( $i > $o ),X1:( $i > $o )]: 567.94/73.05 ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) ) )), 567.94/73.05 inference('simplify_rw_rule', [status(thm)], [def_all_of])). 567.94/73.05 thf('11', plain, 567.94/73.05 (( all_of ) = 567.94/73.05 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 567.94/73.05 ( ![X4:$i]: ( ( is_of @ X4 @ V_1 ) => ( V_2 @ X4 ) ) ) )), 567.94/73.05 define([status(thm)])). 567.94/73.05 thf(satz87c, conjecture, 567.94/73.05 (all_of @ 567.94/73.05 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @ 567.94/73.05 ( ^[X0:$i]: 567.94/73.05 ( all_of @ 567.94/73.05 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @ 567.94/73.05 ( ^[X1:$i]: 567.94/73.05 ( all_of @ 567.94/73.05 ( ^[X2:$i]: ( in @ X2 @ rat ) ) @ 567.94/73.05 ( ^[X2:$i]: 567.94/73.05 ( ( rt_moreis @ X0 @ X1 ) => 567.94/73.05 ( ( rt_more @ X1 @ X2 ) => ( rt_more @ X0 @ X2 ) ) ) ) ) ) ) ))). 567.94/73.05 thf(zf_stmt_0, conjecture, 567.94/73.05 (![X4:$i]: 567.94/73.05 ( ( is_of @ X4 @ ( ^[V_1:$i]: ( in @ V_1 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ![X6:$i]: 567.94/73.05 ( ( is_of @ X6 @ ( ^[V_2:$i]: ( in @ V_2 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ![X8:$i]: 567.94/73.05 ( ( is_of @ 567.94/73.05 X8 @ ( ^[V_3:$i]: ( in @ V_3 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ( imp @ 567.94/73.05 ( d_not @ 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_4:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_5:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ V_4 @ ( class @ X4 ) ) @ 567.94/73.05 ( inf @ V_5 @ ( class @ X6 ) ) @ 567.94/73.05 ( moref @ V_4 @ V_5 ) ) ) ) ) ) ) @ 567.94/73.05 ( e_is @ ( ect @ frac @ n_eq ) @ X4 @ X6 ) ) => 567.94/73.05 ( ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_6:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_7:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ V_6 @ ( class @ X6 ) ) @ 567.94/73.05 ( inf @ V_7 @ ( class @ X8 ) ) @ 567.94/73.05 ( moref @ V_6 @ V_7 ) ) ) ) ) ) => 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_8:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_9:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ V_8 @ ( class @ X4 ) ) @ 567.94/73.05 ( inf @ V_9 @ ( class @ X8 ) ) @ 567.94/73.05 ( moref @ V_8 @ V_9 ) ) ) ) ) ) ) ) ) ) ) ) ))). 567.94/73.05 thf(zf_stmt_1, negated_conjecture, 567.94/73.05 (~( ![X4:$i]: 567.94/73.05 ( ( is_of @ X4 @ ( ^[V_1:$i]: ( in @ V_1 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ![X6:$i]: 567.94/73.05 ( ( is_of @ 567.94/73.05 X6 @ ( ^[V_2:$i]: ( in @ V_2 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ![X8:$i]: 567.94/73.05 ( ( is_of @ 567.94/73.05 X8 @ ( ^[V_3:$i]: ( in @ V_3 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ( imp @ 567.94/73.05 ( d_not @ 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_4:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_5:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ V_4 @ ( class @ X4 ) ) @ 567.94/73.05 ( inf @ V_5 @ ( class @ X6 ) ) @ 567.94/73.05 ( moref @ V_4 @ V_5 ) ) ) ) ) ) ) @ 567.94/73.05 ( e_is @ ( ect @ frac @ n_eq ) @ X4 @ X6 ) ) => 567.94/73.05 ( ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_6:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_7:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ V_6 @ ( class @ X6 ) ) @ 567.94/73.05 ( inf @ V_7 @ ( class @ X8 ) ) @ 567.94/73.05 ( moref @ V_6 @ V_7 ) ) ) ) ) ) => 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_8:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_9:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ V_8 @ ( class @ X4 ) ) @ 567.94/73.05 ( inf @ V_9 @ ( class @ X8 ) ) @ 567.94/73.05 ( moref @ V_8 @ V_9 ) ) ) ) ) ) ) ) ) ) ) ) ) )), 567.94/73.05 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 567.94/73.05 thf(zip_derived_cl20, plain, 567.94/73.05 ( (is_of @ sk__2 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(zip_derived_cl21, plain, 567.94/73.05 ( (is_of @ sk__4 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(zip_derived_cl25, plain, 567.94/73.05 ( (is_of @ sk__3 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(def_rt_lessis, axiom,(( rt_lessis ) = 567.94/73.05 (^[X0:$i,X1:$i]: ( l_or @ ( rt_less @ X0 @ X1 ) @ ( rt_is @ X0 @ X1 ) )))). 567.94/73.05 thf('12', plain, 567.94/73.05 (( rt_lessis ) = 567.94/73.05 ( ^[X0:$i,X1:$i]: ( l_or @ ( rt_less @ X0 @ X1 ) @ ( rt_is @ X0 @ X1 ) ) )), 567.94/73.05 inference('simplify_rw_rule', [status(thm)], 567.94/73.05 [def_rt_lessis, '5', '3', '7'])). 567.94/73.05 thf('13', plain, 567.94/73.05 (( rt_lessis ) = 567.94/73.05 ( ^[V_1:$i,V_2:$i]: 567.94/73.05 ( l_or @ ( rt_less @ V_1 @ V_2 ) @ ( rt_is @ V_1 @ V_2 ) ) )), 567.94/73.05 define([status(thm)])). 567.94/73.05 thf(satz87b, axiom, 567.94/73.05 (all_of @ 567.94/73.05 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @ 567.94/73.05 ( ^[X0:$i]: 567.94/73.05 ( all_of @ 567.94/73.05 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @ 567.94/73.05 ( ^[X1:$i]: 567.94/73.05 ( all_of @ 567.94/73.05 ( ^[X2:$i]: ( in @ X2 @ rat ) ) @ 567.94/73.05 ( ^[X2:$i]: 567.94/73.05 ( ( rt_less @ X0 @ X1 ) => 567.94/73.05 ( ( rt_lessis @ X1 @ X2 ) => ( rt_less @ X0 @ X2 ) ) ) ) ) ) ) ))). 567.94/73.05 thf(zf_stmt_2, axiom, 567.94/73.05 (![X4:$i]: 567.94/73.05 ( ( is_of @ X4 @ ( ^[V_1:$i]: ( in @ V_1 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ![X6:$i]: 567.94/73.05 ( ( is_of @ X6 @ ( ^[V_2:$i]: ( in @ V_2 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ![X8:$i]: 567.94/73.05 ( ( is_of @ 567.94/73.05 X8 @ ( ^[V_3:$i]: ( in @ V_3 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ( rt_less @ X4 @ X6 ) => 567.94/73.05 ( ( imp @ 567.94/73.05 ( d_not @ ( rt_less @ X6 @ X8 ) ) @ 567.94/73.05 ( e_is @ ( ect @ frac @ n_eq ) @ X6 @ X8 ) ) => 567.94/73.05 ( rt_less @ X4 @ X8 ) ) ) ) ) ) ) ))). 567.94/73.05 thf(zip_derived_cl18, plain, 567.94/73.05 (![X0 : $i, X1 : $i, X2 : $i]: 567.94/73.05 (~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))) 567.94/73.05 | ~ (rt_less @ X1 @ X0) 567.94/73.05 | (rt_less @ X1 @ X2) 567.94/73.05 | ~ (imp @ (d_not @ (rt_less @ X0 @ X2)) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ X0 @ X2)) 567.94/73.05 | ~ (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))) 567.94/73.05 | ~ (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_2])). 567.94/73.05 thf(zip_derived_cl1322, plain, 567.94/73.05 (![X0 : $i, X1 : $i]: 567.94/73.05 (~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))) 567.94/73.05 | ~ (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))) 567.94/73.05 | ~ (imp @ (d_not @ (rt_less @ sk__3 @ X1)) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ sk__3 @ X1)) 567.94/73.05 | (rt_less @ X0 @ X1) 567.94/73.05 | ~ (rt_less @ X0 @ sk__3))), 567.94/73.05 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl18])). 567.94/73.05 thf(zip_derived_cl1677, plain, 567.94/73.05 (![X0 : $i]: 567.94/73.05 (~ (rt_less @ sk__4 @ sk__3) 567.94/73.05 | (rt_less @ sk__4 @ X0) 567.94/73.05 | ~ (imp @ (d_not @ (rt_less @ sk__3 @ X0)) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ sk__3 @ X0)) 567.94/73.05 | ~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))))), 567.94/73.05 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl1322])). 567.94/73.05 thf(zip_derived_cl25, plain, 567.94/73.05 ( (is_of @ sk__3 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(zip_derived_cl21, plain, 567.94/73.05 ( (is_of @ sk__4 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(satz82, axiom, 567.94/73.05 (all_of @ 567.94/73.05 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @ 567.94/73.05 ( ^[X0:$i]: 567.94/73.05 ( all_of @ 567.94/73.05 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @ 567.94/73.05 ( ^[X1:$i]: ( ( rt_more @ X0 @ X1 ) => ( rt_less @ X1 @ X0 ) ) ) ) ))). 567.94/73.05 thf(zf_stmt_3, axiom, 567.94/73.05 (![X4:$i]: 567.94/73.05 ( ( is_of @ X4 @ ( ^[V_1:$i]: ( in @ V_1 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ![X6:$i]: 567.94/73.05 ( ( is_of @ X6 @ ( ^[V_2:$i]: ( in @ V_2 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_3:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_4:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ V_3 @ ( class @ X4 ) ) @ 567.94/73.05 ( inf @ V_4 @ ( class @ X6 ) ) @ ( moref @ V_3 @ V_4 ) ) ) ) ) ) => 567.94/73.05 ( rt_less @ X6 @ X4 ) ) ) ) ))). 567.94/73.05 thf(zip_derived_cl19, plain, 567.94/73.05 (![X0 : $i, X1 : $i]: 567.94/73.05 (~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))) 567.94/73.05 | (rt_less @ X0 @ X1) 567.94/73.05 | ~ (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ X1)) @ 567.94/73.05 (inf @ Y1 @ (class @ X0)) @ (moref @ Y0 @ Y1)))))) 567.94/73.05 | ~ (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_3])). 567.94/73.05 thf(zip_derived_cl929, plain, 567.94/73.05 (![X0 : $i]: 567.94/73.05 (~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))) 567.94/73.05 | ~ (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ X0)) @ 567.94/73.05 (inf @ Y1 @ (class @ sk__4)) @ (moref @ Y0 @ Y1)))))) 567.94/73.05 | (rt_less @ sk__4 @ X0))), 567.94/73.05 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl19])). 567.94/73.05 thf(zip_derived_cl979, plain, 567.94/73.05 (( (rt_less @ sk__4 @ sk__3) 567.94/73.05 | ~ (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ sk__3)) @ 567.94/73.05 (inf @ Y1 @ (class @ sk__4)) @ (moref @ Y0 @ Y1)))))))), 567.94/73.05 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl929])). 567.94/73.05 thf(zip_derived_cl22, plain, 567.94/73.05 ( (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ sk__3)) @ 567.94/73.05 (inf @ Y1 @ (class @ sk__4)) @ (moref @ Y0 @ Y1))))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(zip_derived_cl983, plain, ( (rt_less @ sk__4 @ sk__3)), 567.94/73.05 inference('demod', [status(thm)], [zip_derived_cl979, zip_derived_cl22])). 567.94/73.05 thf(zip_derived_cl1682, plain, 567.94/73.05 (![X0 : $i]: 567.94/73.05 ( (rt_less @ sk__4 @ X0) 567.94/73.05 | ~ (imp @ (d_not @ (rt_less @ sk__3 @ X0)) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ sk__3 @ X0)) 567.94/73.05 | ~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))))), 567.94/73.05 inference('demod', [status(thm)], [zip_derived_cl1677, zip_derived_cl983])). 567.94/73.05 thf(zip_derived_cl1686, plain, 567.94/73.05 ((~ (imp @ (d_not @ (rt_less @ sk__3 @ sk__2)) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ sk__3 @ sk__2)) 567.94/73.05 | (rt_less @ sk__4 @ sk__2))), 567.94/73.05 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl1682])). 567.94/73.05 thf(zip_derived_cl20, plain, 567.94/73.05 ( (is_of @ sk__2 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(zip_derived_cl25, plain, 567.94/73.05 ( (is_of @ sk__3 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(satz84, axiom, 567.94/73.05 (all_of @ 567.94/73.05 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @ 567.94/73.05 ( ^[X0:$i]: 567.94/73.05 ( all_of @ 567.94/73.05 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @ 567.94/73.05 ( ^[X1:$i]: ( ( rt_moreis @ X0 @ X1 ) => ( rt_lessis @ X1 @ X0 ) ) ) ) ))). 567.94/73.05 thf(zf_stmt_4, axiom, 567.94/73.05 (![X4:$i]: 567.94/73.05 ( ( is_of @ X4 @ ( ^[V_1:$i]: ( in @ V_1 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ![X6:$i]: 567.94/73.05 ( ( is_of @ X6 @ ( ^[V_2:$i]: ( in @ V_2 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ( imp @ 567.94/73.05 ( d_not @ 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_3:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_4:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ V_3 @ ( class @ X4 ) ) @ 567.94/73.05 ( inf @ V_4 @ ( class @ X6 ) ) @ 567.94/73.05 ( moref @ V_3 @ V_4 ) ) ) ) ) ) ) @ 567.94/73.05 ( e_is @ ( ect @ frac @ n_eq ) @ X4 @ X6 ) ) => 567.94/73.05 ( imp @ 567.94/73.05 ( d_not @ ( rt_less @ X6 @ X4 ) ) @ 567.94/73.05 ( e_is @ ( ect @ frac @ n_eq ) @ X6 @ X4 ) ) ) ) ) ))). 567.94/73.05 thf(zip_derived_cl2, plain, 567.94/73.05 (![X0 : $i, X1 : $i]: 567.94/73.05 (~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))) 567.94/73.05 | (imp @ (d_not @ (rt_less @ X0 @ X1)) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ X0 @ X1)) 567.94/73.05 | ~ (imp @ 567.94/73.05 (d_not @ 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ X1)) @ 567.94/73.05 (inf @ Y1 @ (class @ X0)) @ (moref @ Y0 @ Y1))))))) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ X1 @ X0)) 567.94/73.05 | ~ (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_4])). 567.94/73.05 thf(zip_derived_cl118, plain, 567.94/73.05 (![X0 : $i]: 567.94/73.05 (~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))) 567.94/73.05 | ~ (imp @ 567.94/73.05 (d_not @ 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ X0)) @ 567.94/73.05 (inf @ Y1 @ (class @ sk__3)) @ (moref @ Y0 @ Y1))))))) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ X0 @ sk__3)) 567.94/73.05 | (imp @ (d_not @ (rt_less @ sk__3 @ X0)) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ sk__3 @ X0)))), 567.94/73.05 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl2])). 567.94/73.05 thf(zip_derived_cl1604, plain, 567.94/73.05 (( (imp @ (d_not @ (rt_less @ sk__3 @ sk__2)) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ sk__3 @ sk__2)) 567.94/73.05 | ~ (imp @ 567.94/73.05 (d_not @ 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ sk__2)) @ 567.94/73.05 (inf @ Y1 @ (class @ sk__3)) @ (moref @ Y0 @ Y1))))))) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ sk__2 @ sk__3)))), 567.94/73.05 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl118])). 567.94/73.05 thf(zip_derived_cl24, plain, 567.94/73.05 ( (imp @ 567.94/73.05 (d_not @ 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ sk__2)) @ 567.94/73.05 (inf @ Y1 @ (class @ sk__3)) @ (moref @ Y0 @ Y1))))))) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ sk__2 @ sk__3))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(zip_derived_cl1608, plain, 567.94/73.05 ( (imp @ (d_not @ (rt_less @ sk__3 @ sk__2)) @ 567.94/73.05 (e_is @ (ect @ frac @ n_eq) @ sk__3 @ sk__2))), 567.94/73.05 inference('demod', [status(thm)], [zip_derived_cl1604, zip_derived_cl24])). 567.94/73.05 thf(zip_derived_cl21, plain, 567.94/73.05 ( (is_of @ sk__4 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(zip_derived_cl20, plain, 567.94/73.05 ( (is_of @ sk__2 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(satz83, axiom, 567.94/73.05 (all_of @ 567.94/73.05 ( ^[X0:$i]: ( in @ X0 @ rat ) ) @ 567.94/73.05 ( ^[X0:$i]: 567.94/73.05 ( all_of @ 567.94/73.05 ( ^[X1:$i]: ( in @ X1 @ rat ) ) @ 567.94/73.05 ( ^[X1:$i]: ( ( rt_less @ X0 @ X1 ) => ( rt_more @ X1 @ X0 ) ) ) ) ))). 567.94/73.05 thf(zf_stmt_5, axiom, 567.94/73.05 (![X4:$i]: 567.94/73.05 ( ( is_of @ X4 @ ( ^[V_1:$i]: ( in @ V_1 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ![X6:$i]: 567.94/73.05 ( ( is_of @ X6 @ ( ^[V_2:$i]: ( in @ V_2 @ ( ect @ frac @ n_eq ) ) ) ) => 567.94/73.05 ( ( rt_less @ X4 @ X6 ) => 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_3:$i]: 567.94/73.05 ( l_some @ 567.94/73.05 frac @ 567.94/73.05 ( ^[V_4:$i]: 567.94/73.05 ( and3 @ 567.94/73.05 ( inf @ V_3 @ ( class @ X6 ) ) @ 567.94/73.05 ( inf @ V_4 @ ( class @ X4 ) ) @ ( moref @ V_3 @ V_4 ) ) ) ) ) ) ) ) ) ))). 567.94/73.05 thf(zip_derived_cl11, plain, 567.94/73.05 (![X0 : $i, X1 : $i]: 567.94/73.05 (~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))) 567.94/73.05 | (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ X0)) @ 567.94/73.05 (inf @ Y1 @ (class @ X1)) @ (moref @ Y0 @ Y1)))))) 567.94/73.05 | ~ (rt_less @ X1 @ X0) 567.94/73.05 | ~ (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_5])). 567.94/73.05 thf(zip_derived_cl802, plain, 567.94/73.05 (![X0 : $i]: 567.94/73.05 (~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (ect @ frac @ n_eq)))) 567.94/73.05 | ~ (rt_less @ X0 @ sk__2) 567.94/73.05 | (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ sk__2)) @ 567.94/73.05 (inf @ Y1 @ (class @ X0)) @ (moref @ Y0 @ Y1)))))))), 567.94/73.05 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl11])). 567.94/73.05 thf(zip_derived_cl1115, plain, 567.94/73.05 (( (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ sk__2)) @ 567.94/73.05 (inf @ Y1 @ (class @ sk__4)) @ (moref @ Y0 @ Y1)))))) 567.94/73.05 | ~ (rt_less @ sk__4 @ sk__2))), 567.94/73.05 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl802])). 567.94/73.05 thf(zip_derived_cl23, plain, 567.94/73.05 (~ (l_some @ frac @ 567.94/73.05 (^[Y0 : $i]: 567.94/73.05 (l_some @ frac @ 567.94/73.05 (^[Y1 : $i]: 567.94/73.05 (and3 @ (inf @ Y0 @ (class @ sk__2)) @ 567.94/73.05 (inf @ Y1 @ (class @ sk__4)) @ (moref @ Y0 @ Y1))))))), 567.94/73.05 inference('cnf', [status(esa)], [zf_stmt_1])). 567.94/73.05 thf(zip_derived_cl1154, plain, (~ (rt_less @ sk__4 @ sk__2)), 567.94/73.05 inference('clc', [status(thm)], [zip_derived_cl1115, zip_derived_cl23])). 567.94/73.05 thf(zip_derived_cl1690, plain, ($false), 567.94/73.05 inference('demod', [status(thm)], 567.94/73.05 [zip_derived_cl1686, zip_derived_cl1608, zip_derived_cl1154])). 567.94/73.05 567.94/73.05 % SZS output end Refutation 567.94/73.05 567.94/73.05 567.94/73.05 % Terminating... 569.28/73.19 % Runner terminated. 569.28/73.20 % Zipperpin 1.5 exiting 569.28/73.20 EOF