0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KMOk1qscUG true 0.18/0.38 % Computer : n006.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 0.18/0.38 % CPULimit : 1440 0.18/0.38 % WCLimit : 180 0.18/0.38 % DateTime : Mon Jul 3 09:44:51 EDT 2023 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 0.58/0.73 % /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 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.58/0.76 % /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 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 3.61/1.12 % Solved by lams/30_sp5.sh. 3.61/1.12 % done 0 iterations in 0.309s 3.61/1.12 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 3.61/1.12 % SZS output start Refutation 3.61/1.12 thf(diffprop_type, type, diffprop: $i > $i > $i > $o). 3.61/1.12 thf(moref_type, type, moref: $i > $i > $o). 3.61/1.12 thf(is_of_type, type, is_of: $i > ($i > $o) > $o). 3.61/1.12 thf(in_type, type, in: $i > $i > $o). 3.61/1.12 thf(den_type, type, den: $i > $i). 3.61/1.12 thf(nat_type, type, nat: $i). 3.61/1.12 thf(iii_type, type, iii: $i > $i > $o). 3.61/1.12 thf(lessf_type, type, lessf: $i > $i > $o). 3.61/1.12 thf(l_some_type, type, l_some: $i > ($i > $o) > $o). 3.61/1.12 thf(frac_type, type, frac: $i). 3.61/1.12 thf(n_ts_type, type, n_ts: $i > $i > $i). 3.61/1.12 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o). 3.61/1.12 thf(n_is_type, type, n_is: $i > $i > $o). 3.61/1.12 thf(n_some_type, type, n_some: ($i > $o) > $o). 3.61/1.12 thf(d_29_ii_type, type, d_29_ii: $i > $i > $o). 3.61/1.12 thf(n_pl_type, type, n_pl: $i > $i > $i). 3.61/1.12 thf(num_type, type, num: $i > $i). 3.61/1.12 thf(pair1type_type, type, pair1type: $i > $i). 3.61/1.12 thf(def_lessf, axiom,(( lessf ) = 3.61/1.12 (^[X0:$i,X1:$i]: 3.61/1.12 ( iii @ 3.61/1.12 ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ 3.61/1.12 ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) )))). 3.61/1.12 thf(def_iii, axiom,(( iii ) = 3.61/1.12 (^[X0:$i,X1:$i]: ( n_some @ ( diffprop @ X1 @ X0 ) )))). 3.61/1.12 thf(def_diffprop, axiom,(( diffprop ) = 3.61/1.12 (^[X0:$i,X1:$i,X2:$i]: ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) )))). 3.61/1.12 thf('0', plain, 3.61/1.12 (( diffprop ) = 3.61/1.12 ( ^[X0:$i,X1:$i,X2:$i]: ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) )), 3.61/1.12 inference('simplify_rw_rule', [status(thm)], [def_diffprop])). 3.61/1.12 thf('1', plain, 3.61/1.12 (( diffprop ) = 3.61/1.12 ( ^[V_1:$i,V_2:$i,V_3:$i]: ( n_is @ V_1 @ ( n_pl @ V_2 @ V_3 ) ) )), 3.61/1.12 define([status(thm)])). 3.61/1.12 thf(def_n_some, axiom,(( n_some ) = (l_some @ nat))). 3.61/1.12 thf('2', plain, (( n_some ) = ( l_some @ nat )), 3.61/1.12 inference('simplify_rw_rule', [status(thm)], [def_n_some])). 3.61/1.12 thf('3', plain, (( n_some ) = ( l_some @ nat )), define([status(thm)])). 3.61/1.12 thf('4', plain, 3.61/1.12 (( iii ) = ( ^[X0:$i,X1:$i]: ( n_some @ ( diffprop @ X1 @ X0 ) ) )), 3.61/1.12 inference('simplify_rw_rule', [status(thm)], [def_iii, '1', '3'])). 3.61/1.12 thf('5', plain, 3.61/1.12 (( iii ) = ( ^[V_1:$i,V_2:$i]: ( n_some @ ( diffprop @ V_2 @ V_1 ) ) )), 3.61/1.12 define([status(thm)])). 3.61/1.12 thf('6', plain, 3.61/1.12 (( lessf ) = 3.61/1.12 ( ^[X0:$i,X1:$i]: 3.61/1.12 ( iii @ 3.61/1.12 ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ 3.61/1.12 ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) )), 3.61/1.12 inference('simplify_rw_rule', [status(thm)], [def_lessf, '5', '1', '3'])). 3.61/1.12 thf('7', plain, 3.61/1.12 (( lessf ) = 3.61/1.12 ( ^[V_1:$i,V_2:$i]: 3.61/1.12 ( iii @ 3.61/1.12 ( n_ts @ ( num @ V_1 ) @ ( den @ V_2 ) ) @ 3.61/1.12 ( n_ts @ ( num @ V_2 ) @ ( den @ V_1 ) ) ) )), 3.61/1.12 define([status(thm)])). 3.61/1.12 thf(def_moref, axiom,(( moref ) = 3.61/1.12 (^[X0:$i,X1:$i]: 3.61/1.12 ( d_29_ii @ 3.61/1.12 ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ 3.61/1.12 ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) )))). 3.61/1.12 thf(def_d_29_ii, axiom,(( d_29_ii ) = 3.61/1.12 (^[X0:$i,X1:$i]: ( n_some @ ( diffprop @ X0 @ X1 ) )))). 3.61/1.12 thf('8', plain, 3.61/1.12 (( d_29_ii ) = ( ^[X0:$i,X1:$i]: ( n_some @ ( diffprop @ X0 @ X1 ) ) )), 3.61/1.12 inference('simplify_rw_rule', [status(thm)], [def_d_29_ii, '1', '3'])). 3.61/1.12 thf('9', plain, 3.61/1.12 (( d_29_ii ) = 3.61/1.12 ( ^[V_1:$i,V_2:$i]: ( n_some @ ( diffprop @ V_1 @ V_2 ) ) )), 3.61/1.12 define([status(thm)])). 3.61/1.12 thf('10', plain, 3.61/1.12 (( moref ) = 3.61/1.12 ( ^[X0:$i,X1:$i]: 3.61/1.12 ( d_29_ii @ 3.61/1.12 ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ 3.61/1.12 ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) )), 3.61/1.12 inference('simplify_rw_rule', [status(thm)], [def_moref, '9', '1', '3'])). 3.61/1.12 thf('11', plain, 3.61/1.12 (( moref ) = 3.61/1.12 ( ^[V_1:$i,V_2:$i]: 3.61/1.12 ( d_29_ii @ 3.61/1.12 ( n_ts @ ( num @ V_1 ) @ ( den @ V_2 ) ) @ 3.61/1.12 ( n_ts @ ( num @ V_2 ) @ ( den @ V_1 ) ) ) )), 3.61/1.12 define([status(thm)])). 3.61/1.12 thf(def_frac, axiom,(( frac ) = (pair1type @ nat))). 3.61/1.12 thf('12', plain, (( frac ) = ( pair1type @ nat )), 3.61/1.12 inference('simplify_rw_rule', [status(thm)], [def_frac])). 3.61/1.12 thf('13', plain, (( frac ) = ( pair1type @ nat )), define([status(thm)])). 3.61/1.12 thf(def_all_of, axiom,(( all_of ) = 3.61/1.12 (^[X0:( $i > $o ),X1:( $i > $o )]: 3.61/1.12 ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) )))). 3.61/1.12 thf('14', plain, 3.61/1.12 (( all_of ) = 3.61/1.12 ( ^[X0:( $i > $o ),X1:( $i > $o )]: 3.61/1.12 ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) ) )), 3.61/1.12 inference('simplify_rw_rule', [status(thm)], [def_all_of])). 3.61/1.12 thf('15', plain, 3.61/1.12 (( all_of ) = 3.61/1.12 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 3.61/1.12 ( ![X4:$i]: ( ( is_of @ X4 @ V_1 ) => ( V_2 @ X4 ) ) ) )), 3.61/1.12 define([status(thm)])). 3.61/1.12 thf(satz42, conjecture, 3.61/1.12 (all_of @ 3.61/1.12 ( ^[X0:$i]: ( in @ X0 @ frac ) ) @ 3.61/1.12 ( ^[X0:$i]: 3.61/1.12 ( all_of @ 3.61/1.12 ( ^[X1:$i]: ( in @ X1 @ frac ) ) @ 3.61/1.12 ( ^[X1:$i]: ( ( moref @ X0 @ X1 ) => ( lessf @ X1 @ X0 ) ) ) ) ))). 3.61/1.12 thf(zf_stmt_0, conjecture, 3.61/1.12 (![X4:$i]: 3.61/1.12 ( ( is_of @ X4 @ ( ^[V_1:$i]: ( in @ V_1 @ ( pair1type @ nat ) ) ) ) => 3.61/1.12 ( ![X6:$i]: 3.61/1.12 ( ( is_of @ X6 @ ( ^[V_2:$i]: ( in @ V_2 @ ( pair1type @ nat ) ) ) ) => 3.61/1.12 ( ( l_some @ 3.61/1.12 nat @ 3.61/1.12 ( ^[V_3:$i]: 3.61/1.12 ( n_is @ 3.61/1.12 ( n_ts @ ( num @ X4 ) @ ( den @ X6 ) ) @ 3.61/1.12 ( n_pl @ ( n_ts @ ( num @ X6 ) @ ( den @ X4 ) ) @ V_3 ) ) ) ) => 3.61/1.12 ( l_some @ 3.61/1.12 nat @ 3.61/1.12 ( ^[V_4:$i]: 3.61/1.12 ( n_is @ 3.61/1.12 ( n_ts @ ( num @ X4 ) @ ( den @ X6 ) ) @ 3.61/1.12 ( n_pl @ ( n_ts @ ( num @ X6 ) @ ( den @ X4 ) ) @ V_4 ) ) ) ) ) ) ) ))). 3.61/1.12 thf(zf_stmt_1, negated_conjecture, 3.61/1.12 (~( ![X4:$i]: 3.61/1.12 ( ( is_of @ X4 @ ( ^[V_1:$i]: ( in @ V_1 @ ( pair1type @ nat ) ) ) ) => 3.61/1.12 ( ![X6:$i]: 3.61/1.12 ( ( is_of @ X6 @ ( ^[V_2:$i]: ( in @ V_2 @ ( pair1type @ nat ) ) ) ) => 3.61/1.12 ( ( l_some @ 3.61/1.12 nat @ 3.61/1.12 ( ^[V_3:$i]: 3.61/1.12 ( n_is @ 3.61/1.12 ( n_ts @ ( num @ X4 ) @ ( den @ X6 ) ) @ 3.61/1.12 ( n_pl @ ( n_ts @ ( num @ X6 ) @ ( den @ X4 ) ) @ V_3 ) ) ) ) => 3.61/1.12 ( l_some @ 3.61/1.12 nat @ 3.61/1.12 ( ^[V_4:$i]: 3.61/1.12 ( n_is @ 3.61/1.12 ( n_ts @ ( num @ X4 ) @ ( den @ X6 ) ) @ 3.61/1.12 ( n_pl @ ( n_ts @ ( num @ X6 ) @ ( den @ X4 ) ) @ V_4 ) ) ) ) ) ) ) ) )), 3.61/1.12 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 3.61/1.12 thf(zip_derived_cl134, plain, 3.61/1.12 (~ (((!!) @ (^[Y0 : $i]: 3.61/1.12 (((is_of @ Y0 @ 3.61/1.12 (^[Y1 : $i]: (in @ Y1 @ (pair1type @ nat)))) => 3.61/1.12 (((!!) @ (^[Y1 : $i]: 3.61/1.12 (((is_of @ Y1 @ 3.61/1.12 (^[Y2 : $i]: (in @ Y2 @ (pair1type @ nat)))) => 3.61/1.12 (((l_some @ nat @ 3.61/1.12 (^[Y2 : $i]: 3.61/1.12 (n_is @ 3.61/1.12 (n_ts @ (num @ Y0) @ (den @ Y1)) @ 3.61/1.12 (n_pl @ 3.61/1.12 (n_ts @ (num @ Y1) @ (den @ Y0)) @ 3.61/1.12 Y2)))) => 3.61/1.12 (l_some @ nat @ 3.61/1.12 (^[Y2 : $i]: 3.61/1.12 (n_is @ 3.61/1.12 (n_ts @ (num @ Y0) @ (den @ Y1)) @ 3.61/1.12 (n_pl @ 3.61/1.12 (n_ts @ (num @ Y1) @ (den @ Y0)) @ 3.61/1.12 Y2))))))))))))))))), 3.61/1.12 inference('cnf', [status(esa)], [zf_stmt_1])). 3.61/1.12 thf(zip_derived_cl262, plain, ($false), 3.61/1.12 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl134])). 3.61/1.12 3.61/1.12 % SZS output end Refutation 3.61/1.12 3.61/1.12 3.61/1.12 % Terminating... 4.43/1.22 % Runner terminated. 4.43/1.23 % Zipperpin 1.5 exiting 4.43/1.23 EOF