0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.15 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.geNUlwPY7Q 0.14/0.35 % Computer : n021.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % DateTime : Tue Jul 13 12:55:41 EDT 2021 0.21/0.36 % CPUTime : 0.21/0.36 % Running portfolio for 120 s 0.21/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.36 % Number of cores: 8 0.21/0.36 % Python version: Python 3.6.8 0.21/0.36 % Running in HO mode 0.57/0.66 % Estimated wc time : 1286 0.57/0.66 % Estimated cpu time (7 cpus) : 183.71428571428572 0.57/0.71 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 71.03/10.77 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 105.44/15.77 % /export/starexec/sandbox2/solver/bin/lams/b.sh running for 31s 105.95/15.78 % /export/starexec/sandbox2/solver/bin/lams/sh1.sh running for 26s 145.30/21.55 % /export/starexec/sandbox2/solver/bin/lams/b.lsimp.sh running for 17s 146.47/21.75 % /export/starexec/sandbox2/solver/bin/lams/b.split.sh running for 31s 181.81/26.77 % /export/starexec/sandbox2/solver/bin/lams/s4.sh running for 15s 188.75/27.78 % /export/starexec/sandbox2/solver/bin/lams/b.rw.sh running for 26s 264.35/38.56 % /export/starexec/sandbox2/solver/bin/lams/c_ic.sh running for 42s 286.45/41.79 % /export/starexec/sandbox2/solver/bin/lams/s1.f.sh running for 15s 287.03/41.80 % /export/starexec/sandbox2/solver/bin/lams/c.preprocess2.sh running for 21s 334.86/49.18 % /export/starexec/sandbox2/solver/bin/lams/sh.or.sh running for 26s 342.05/50.21 % /export/starexec/sandbox2/solver/bin/lams/new.cs3.comb.sh running for 18s 360.00/52.78 % /export/starexec/sandbox2/solver/bin/lams/old_b2.sh running for 31s 367.42/53.80 % /export/starexec/sandbox2/solver/bin/lams/sp5.sh running for 36s 388.56/56.82 % /export/starexec/sandbox2/solver/bin/lams/b2.sh running for 15s 429.58/62.81 % /export/starexec/sandbox2/solver/bin/lams/b.lcnf.od.sh running for 26s 469.80/68.49 % /export/starexec/sandbox2/solver/bin/lams/c.s.sh running for 36s 470.90/68.74 % /export/starexec/sandbox2/solver/bin/lams/b3.sh running for 26s 490.00/71.42 % Solved by lams/c.s.sh. 490.00/71.42 % done 689 iterations in 2.884s 490.00/71.42 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 490.00/71.42 % SZS output start Refutation 490.00/71.42 tff(def_d_29_ii, axiom, d_29_ii() = ^[X0,X1]: n_some(diffprop(X0,X1))). 490.00/71.42 tff(def_n_some, axiom, n_some() = l_some(nat)). 490.00/71.42 tff(def_nat, axiom, nat() = d_Sep(omega,^[X0]: (X0 != emptyset))). 490.00/71.42 tff('0', plain, nat = d_Sep(omega,^[X0]: (X0 != emptyset)), 490.00/71.42 inference('simplify_rw_rule', [status(thm)], [def_nat])). 490.00/71.42 tff('1', plain, nat = d_Sep(omega,^[V_1]: (V_1 != emptyset)), 490.00/71.42 define([status(thm)])). 490.00/71.42 tff('2', plain, n_some = l_some(nat), 490.00/71.42 inference('simplify_rw_rule', [status(thm)], [def_n_some, '1'])). 490.00/71.42 tff('3', plain, n_some = l_some(nat), define([status(thm)])). 490.00/71.42 tff('4', plain, d_29_ii = (^[X0,X1]: n_some(diffprop(X0,X1))), 490.00/71.42 inference('simplify_rw_rule', [status(thm)], [def_d_29_ii, '3', '1'])). 490.00/71.42 tff('5', plain, d_29_ii = (^[V_1,V_2]: n_some(diffprop(V_1,V_2))), 490.00/71.42 define([status(thm)])). 490.00/71.42 tff(def_n_pl, axiom, n_pl() = ^[X0]: ap(plus(X0))). 490.00/71.42 tff('6', plain, n_pl = (^[X0]: ap(plus(X0))), 490.00/71.42 inference('simplify_rw_rule', [status(thm)], [def_n_pl])). 490.00/71.42 tff('7', plain, n_pl = (^[V_1]: ap(plus(V_1))), define([status(thm)])). 490.00/71.42 tff(def_all_of, axiom, all_of() = 490.00/71.42 ^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))). 490.00/71.42 tff(def_is_of, axiom, is_of() = ^[X0,X1:(($i > $o))]: X1(X0)). 490.00/71.42 tff('8', plain, is_of = (^[X0,X1:(($i > $o))]: X1(X0)), 490.00/71.42 inference('simplify_rw_rule', [status(thm)], [def_is_of])). 490.00/71.42 tff('9', plain, is_of = (^[V_1,V_2:(($i > $o))]: V_2(V_1)), 490.00/71.42 define([status(thm)])). 490.00/71.42 tff('10', plain, 490.00/71.42 all_of = 490.00/71.42 (^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))), 490.00/71.42 inference('simplify_rw_rule', [status(thm)], [def_all_of, '9'])). 490.00/71.42 tff('11', plain, 490.00/71.42 all_of = 490.00/71.42 (^[V_1:(($i > $o)),V_2:(($i > $o))]: (![X4]: (is_of(X4,V_1) => V_2(X4)))), 490.00/71.42 define([status(thm)])). 490.00/71.42 tff(satz19a, axiom, 490.00/71.42 (all_of(^[X0]: in(X0,nat), 490.00/71.42 ^[X0]: 490.00/71.42 all_of(^[X1]: in(X1,nat), 490.00/71.42 ^[X1]: 490.00/71.42 all_of(^[X2]: in(X2,nat), 490.00/71.42 ^[X2]: 490.00/71.42 (d_29_ii(X0,X1) => 490.00/71.42 d_29_ii(n_pl(X0,X2),n_pl(X1,X2)))))))). 490.00/71.42 tff(zf_stmt_0, axiom, 490.00/71.42 (![X4]: 490.00/71.42 (in(X4,d_Sep(omega,^[V_1]: (V_1 != emptyset))) => 490.00/71.42 (![X6]: 490.00/71.42 (in(X6,d_Sep(omega,^[V_2]: (V_2 != emptyset))) => 490.00/71.42 (![X8]: 490.00/71.42 (in(X8,d_Sep(omega,^[V_3]: (V_3 != emptyset))) => 490.00/71.42 (l_some(d_Sep(omega,^[V_4]: (V_4 != emptyset)),diffprop(X4,X6)) => 490.00/71.42 l_some(d_Sep(omega,^[V_5]: (V_5 != emptyset)), 490.00/71.42 diffprop(ap(plus(X4),X8),ap(plus(X6),X8))))))))))). 490.00/71.42 tff('12', plain, 490.00/71.42 ![X121, X122, X123]: 490.00/71.42 (~ in(X121, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))) 490.00/71.42 | ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 490.00/71.42 diffprop(X122, X121)) 490.00/71.42 | l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 490.00/71.42 diffprop(ap(plus(X122), X123), ap(plus(X121), X123))) 490.00/71.42 | ~ in(X123, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))) 490.00/71.42 | ~ in(X122, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))))), 490.00/71.42 inference('cnf', [status(esa)], [zf_stmt_0])). 490.00/71.42 tff(def_iii, axiom, iii() = ^[X0,X1]: n_some(diffprop(X1,X0))). 490.00/71.42 tff('13', plain, iii = (^[X0,X1]: n_some(diffprop(X1,X0))), 490.00/71.42 inference('simplify_rw_rule', [status(thm)], [def_iii, '3', '1'])). 490.00/71.42 tff('14', plain, iii = (^[V_1,V_2]: n_some(diffprop(V_2,V_1))), 490.00/71.42 define([status(thm)])). 490.00/71.42 tff(satz19c, conjecture, 490.00/71.42 (all_of(^[X0]: in(X0,nat), 490.00/71.42 ^[X0]: 490.00/71.42 all_of(^[X1]: in(X1,nat), 490.00/71.42 ^[X1]: 490.00/71.42 all_of(^[X2]: in(X2,nat), 490.00/71.42 ^[X2]: 490.00/71.42 (iii(X0,X1) => iii(n_pl(X0,X2),n_pl(X1,X2)))))))). 490.00/71.42 tff(zf_stmt_1, conjecture, 490.00/71.42 (![X4]: 490.00/71.42 (in(X4,d_Sep(omega,^[V_1]: (V_1 != emptyset))) => 490.00/71.42 (![X6]: 490.00/71.42 (in(X6,d_Sep(omega,^[V_2]: (V_2 != emptyset))) => 490.00/71.42 (![X8]: 490.00/71.42 (in(X8,d_Sep(omega,^[V_3]: (V_3 != emptyset))) => 490.00/71.42 (l_some(d_Sep(omega,^[V_4]: (V_4 != emptyset)),diffprop(X6,X4)) => 490.00/71.42 l_some(d_Sep(omega,^[V_5]: (V_5 != emptyset)), 490.00/71.42 diffprop(ap(plus(X6),X8),ap(plus(X4),X8))))))))))). 490.00/71.42 tff(zf_stmt_2, negated_conjecture, 490.00/71.42 (~ 490.00/71.42 (![X4]: 490.00/71.42 (in(X4,d_Sep(omega,^[V_1]: (V_1 != emptyset))) => 490.00/71.42 (![X6]: 490.00/71.42 (in(X6,d_Sep(omega,^[V_2]: (V_2 != emptyset))) => 490.00/71.42 (![X8]: 490.00/71.42 (in(X8,d_Sep(omega,^[V_3]: (V_3 != emptyset))) => 490.00/71.42 (l_some(d_Sep(omega,^[V_4]: (V_4 != emptyset)), 490.00/71.42 diffprop(X6,X4)) => 490.00/71.42 l_some(d_Sep(omega,^[V_5]: (V_5 != emptyset)), 490.00/71.42 diffprop(ap(plus(X6),X8),ap(plus(X4),X8)))))))))))). 490.00/71.42 tff('15', plain, 490.00/71.42 ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 490.00/71.42 diffprop(ap(plus(sk_X6), sk_X8), ap(plus(sk_X4), sk_X8))), 490.00/71.42 inference('cnf', [status(esa)], [zf_stmt_2])). 490.00/71.42 tff('16', plain, 490.00/71.42 (~ in(sk_X6, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))) 490.00/71.42 | ~ in(sk_X8, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))) 490.00/71.42 | ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 490.00/71.42 diffprop(sk_X6, sk_X4)) 490.00/71.42 | ~ in(sk_X4, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))))), 490.00/71.42 inference('sup-', [status(thm)], ['12', '15'])). 490.00/71.42 tff('17', plain, in(sk_X6, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))), 490.00/71.42 inference('cnf', [status(esa)], [zf_stmt_2])). 490.00/71.42 tff('18', plain, in(sk_X8, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))), 490.00/71.42 inference('cnf', [status(esa)], [zf_stmt_2])). 490.00/71.42 tff('19', plain, 490.00/71.42 l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 490.00/71.42 diffprop(sk_X6, sk_X4)), 490.00/71.42 inference('cnf', [status(esa)], [zf_stmt_2])). 490.00/71.42 tff('20', plain, in(sk_X4, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))), 490.00/71.42 inference('cnf', [status(esa)], [zf_stmt_2])). 490.00/71.42 tff('21', plain, $false, 490.00/71.42 inference('demod', [status(thm)], ['16', '17', '18', '19', '20'])). 490.00/71.42 490.00/71.42 % SZS output end Refutation 490.00/71.42 490.00/71.42 490.00/71.42 % Terminating... 490.74/71.52 % Runner terminated. 490.74/71.53 % Zipperpin 1.5 exiting 490.74/71.53 EOF