0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.15 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.F38SydqphE 0.15/0.36 % Computer : n026.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 % DateTime : Thu Jul 2 09:26:24 EDT 2020 0.21/0.36 % CPUTime : 0.21/0.36 % Running portfolio for 120 s 0.21/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.37 % Number of cores: 8 0.21/0.37 % Python version: Python 3.6.8 0.21/0.37 % Running in HO mode 0.56/0.64 % Estimated wc time : 1286 0.56/0.64 % Estimated cpu time (7 cpus) : 183.71428571428572 0.58/0.72 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.58/0.78 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 71.52/10.88 % /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s 104.09/15.62 % /export/starexec/sandbox/solver/bin/lams/b.sh running for 31s 105.17/15.85 % /export/starexec/sandbox/solver/bin/lams/sh1.sh running for 26s 145.05/21.59 % /export/starexec/sandbox/solver/bin/lams/b.lsimp.sh running for 17s 145.05/21.62 % /export/starexec/sandbox/solver/bin/lams/b.split.sh running for 31s 181.40/26.87 % /export/starexec/sandbox/solver/bin/lams/s4.sh running for 15s 189.15/27.95 % /export/starexec/sandbox/solver/bin/lams/b.rw.sh running for 26s 263.48/38.63 % /export/starexec/sandbox/solver/bin/lams/c_ic.sh running for 42s 285.48/41.89 % /export/starexec/sandbox/solver/bin/lams/s1.f.sh running for 15s 285.48/41.95 % /export/starexec/sandbox/solver/bin/lams/c.preprocess2.sh running for 21s 332.92/49.01 % /export/starexec/sandbox/solver/bin/lams/sh.or.sh running for 26s 339.54/49.95 % /export/starexec/sandbox/solver/bin/lams/new.cs3.comb.sh running for 18s 357.47/52.61 % /export/starexec/sandbox/solver/bin/lams/old_b2.sh running for 31s 367.65/54.04 % /export/starexec/sandbox/solver/bin/lams/sp5.sh running for 36s 386.91/56.82 % /export/starexec/sandbox/solver/bin/lams/b2.sh running for 15s 430.40/63.07 % /export/starexec/sandbox/solver/bin/lams/b.lcnf.od.sh running for 26s 464.42/68.00 % /export/starexec/sandbox/solver/bin/lams/c.s.sh running for 36s 469.28/68.75 % /export/starexec/sandbox/solver/bin/lams/b3.sh running for 26s 477.23/69.91 % Solved by lams/c.s.sh. 477.23/69.91 % done 542 iterations in 1.877s 477.23/69.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 477.23/69.91 % SZS output start Refutation 477.23/69.91 tff(def_d_29_ii, axiom, d_29_ii() = ^[X0,X1]: n_some(diffprop(X0,X1))). 477.23/69.91 tff(def_n_some, axiom, n_some() = l_some(nat)). 477.23/69.91 tff(def_nat, axiom, nat() = d_Sep(omega,^[X0]: (X0 != emptyset))). 477.23/69.91 tff('0', plain, nat = d_Sep(omega,^[X0]: (X0 != emptyset)), 477.23/69.91 inference('simplify_rw_rule', [status(thm)], [def_nat])). 477.23/69.91 tff('1', plain, nat = d_Sep(omega,^[V_1]: (V_1 != emptyset)), 477.23/69.91 define([status(thm)])). 477.23/69.91 tff('2', plain, n_some = l_some(nat), 477.23/69.91 inference('simplify_rw_rule', [status(thm)], [def_n_some, '1'])). 477.23/69.91 tff('3', plain, n_some = l_some(nat), define([status(thm)])). 477.23/69.91 tff('4', plain, d_29_ii = (^[X0,X1]: n_some(diffprop(X0,X1))), 477.23/69.91 inference('simplify_rw_rule', [status(thm)], [def_d_29_ii, '3', '1'])). 477.23/69.91 tff('5', plain, d_29_ii = (^[V_1,V_2]: n_some(diffprop(V_1,V_2))), 477.23/69.91 define([status(thm)])). 477.23/69.91 tff(def_n_pl, axiom, n_pl() = ^[X0]: ap(plus(X0))). 477.23/69.91 tff('6', plain, n_pl = (^[X0]: ap(plus(X0))), 477.23/69.91 inference('simplify_rw_rule', [status(thm)], [def_n_pl])). 477.23/69.91 tff('7', plain, n_pl = (^[V_1]: ap(plus(V_1))), define([status(thm)])). 477.23/69.91 tff(def_all_of, axiom, all_of() = 477.23/69.91 ^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))). 477.23/69.91 tff(def_is_of, axiom, is_of() = ^[X0,X1:(($i > $o))]: X1(X0)). 477.23/69.91 tff('8', plain, is_of = (^[X0,X1:(($i > $o))]: X1(X0)), 477.23/69.91 inference('simplify_rw_rule', [status(thm)], [def_is_of])). 477.23/69.91 tff('9', plain, is_of = (^[V_1,V_2:(($i > $o))]: V_2(V_1)), 477.23/69.91 define([status(thm)])). 477.23/69.91 tff('10', plain, 477.23/69.91 all_of = 477.23/69.91 (^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))), 477.23/69.91 inference('simplify_rw_rule', [status(thm)], [def_all_of, '9'])). 477.23/69.91 tff('11', plain, 477.23/69.91 all_of = 477.23/69.91 (^[V_1:(($i > $o)),V_2:(($i > $o))]: (![X4]: (is_of(X4,V_1) => V_2(X4)))), 477.23/69.91 define([status(thm)])). 477.23/69.91 tff(satz19a, axiom, 477.23/69.91 (all_of(^[X0]: in(X0,nat), 477.23/69.91 ^[X0]: 477.23/69.91 all_of(^[X1]: in(X1,nat), 477.23/69.91 ^[X1]: 477.23/69.91 all_of(^[X2]: in(X2,nat), 477.23/69.91 ^[X2]: 477.23/69.91 (d_29_ii(X0,X1) => 477.23/69.91 d_29_ii(n_pl(X0,X2),n_pl(X1,X2)))))))). 477.23/69.91 tff(zf_stmt_0, axiom, 477.23/69.91 (![X4]: 477.23/69.91 (in(X4,d_Sep(omega,^[V_1]: (V_1 != emptyset))) => 477.23/69.91 (![X6]: 477.23/69.91 (in(X6,d_Sep(omega,^[V_2]: (V_2 != emptyset))) => 477.23/69.91 (![X8]: 477.23/69.91 (in(X8,d_Sep(omega,^[V_3]: (V_3 != emptyset))) => 477.23/69.91 (l_some(d_Sep(omega,^[V_4]: (V_4 != emptyset)),diffprop(X4,X6)) => 477.23/69.91 l_some(d_Sep(omega,^[V_5]: (V_5 != emptyset)), 477.23/69.91 diffprop(ap(plus(X4),X8),ap(plus(X6),X8))))))))))). 477.23/69.91 tff('12', plain, 477.23/69.91 ![X96, X97, X98]: 477.23/69.91 (~ in(X96, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))) 477.23/69.91 | ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 477.23/69.91 diffprop(X97, X96)) 477.23/69.91 | l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 477.23/69.91 diffprop(ap(plus(X97), X98), ap(plus(X96), X98))) 477.23/69.91 | ~ in(X98, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))) 477.23/69.91 | ~ in(X97, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))))), 477.23/69.91 inference('cnf', [status(esa)], [zf_stmt_0])). 477.23/69.91 tff(def_iii, axiom, iii() = ^[X0,X1]: n_some(diffprop(X1,X0))). 477.23/69.91 tff('13', plain, iii = (^[X0,X1]: n_some(diffprop(X1,X0))), 477.23/69.91 inference('simplify_rw_rule', [status(thm)], [def_iii, '3', '1'])). 477.23/69.91 tff('14', plain, iii = (^[V_1,V_2]: n_some(diffprop(V_2,V_1))), 477.23/69.91 define([status(thm)])). 477.23/69.91 tff(satz19c, conjecture, 477.23/69.91 (all_of(^[X0]: in(X0,nat), 477.23/69.91 ^[X0]: 477.23/69.91 all_of(^[X1]: in(X1,nat), 477.23/69.91 ^[X1]: 477.23/69.91 all_of(^[X2]: in(X2,nat), 477.23/69.91 ^[X2]: 477.23/69.91 (iii(X0,X1) => iii(n_pl(X0,X2),n_pl(X1,X2)))))))). 477.23/69.91 tff(zf_stmt_1, conjecture, 477.23/69.91 (![X4]: 477.23/69.91 (in(X4,d_Sep(omega,^[V_1]: (V_1 != emptyset))) => 477.23/69.91 (![X6]: 477.23/69.91 (in(X6,d_Sep(omega,^[V_2]: (V_2 != emptyset))) => 477.23/69.91 (![X8]: 477.23/69.91 (in(X8,d_Sep(omega,^[V_3]: (V_3 != emptyset))) => 477.23/69.91 (l_some(d_Sep(omega,^[V_4]: (V_4 != emptyset)),diffprop(X6,X4)) => 477.23/69.91 l_some(d_Sep(omega,^[V_5]: (V_5 != emptyset)), 477.23/69.91 diffprop(ap(plus(X6),X8),ap(plus(X4),X8))))))))))). 477.23/69.91 tff(zf_stmt_2, negated_conjecture, 477.23/69.91 (~ 477.23/69.91 (![X4]: 477.23/69.91 (in(X4,d_Sep(omega,^[V_1]: (V_1 != emptyset))) => 477.23/69.91 (![X6]: 477.23/69.91 (in(X6,d_Sep(omega,^[V_2]: (V_2 != emptyset))) => 477.23/69.91 (![X8]: 477.23/69.91 (in(X8,d_Sep(omega,^[V_3]: (V_3 != emptyset))) => 477.23/69.91 (l_some(d_Sep(omega,^[V_4]: (V_4 != emptyset)), 477.23/69.91 diffprop(X6,X4)) => 477.23/69.91 l_some(d_Sep(omega,^[V_5]: (V_5 != emptyset)), 477.23/69.91 diffprop(ap(plus(X6),X8),ap(plus(X4),X8)))))))))))). 477.23/69.91 tff('15', plain, 477.23/69.91 ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 477.23/69.91 diffprop(ap(plus(sk_X6), sk_X8), ap(plus(sk_X4), sk_X8))), 477.23/69.91 inference('cnf', [status(esa)], [zf_stmt_2])). 477.23/69.91 tff('16', plain, 477.23/69.91 (~ in(sk_X6, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))) 477.23/69.91 | ~ in(sk_X8, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))) 477.23/69.91 | ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 477.23/69.91 diffprop(sk_X6, sk_X4)) 477.23/69.91 | ~ in(sk_X4, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))))), 477.23/69.91 inference('sup-', [status(thm)], ['12', '15'])). 477.23/69.91 tff('17', plain, in(sk_X6, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))), 477.23/69.91 inference('cnf', [status(esa)], [zf_stmt_2])). 477.23/69.91 tff('18', plain, in(sk_X8, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))), 477.23/69.91 inference('cnf', [status(esa)], [zf_stmt_2])). 477.23/69.91 tff('19', plain, 477.23/69.91 l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 477.23/69.91 diffprop(sk_X6, sk_X4)), 477.23/69.91 inference('cnf', [status(esa)], [zf_stmt_2])). 477.23/69.91 tff('20', plain, in(sk_X4, d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset)))), 477.23/69.91 inference('cnf', [status(esa)], [zf_stmt_2])). 477.23/69.91 tff('21', plain, $false, 477.23/69.91 inference('demod', [status(thm)], ['16', '17', '18', '19', '20'])). 477.23/69.91 477.23/69.91 % SZS output end Refutation 477.23/69.91 477.23/69.91 477.23/69.91 % Terminating... 477.84/70.01 % Runner terminated. 477.84/70.01 % Zipperpin 1.5 exiting 477.84/70.01 EOF