0.08/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.c2dWWBS6o1 0.14/0.35 % Computer : n025.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 15:53:27 EDT 2021 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 120 s 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.35 % Python version: Python 3.6.8 0.14/0.35 % Running in HO mode 0.44/0.61 % Estimated wc time : 1286 0.44/0.61 % Estimated cpu time (7 cpus) : 183.71428571428572 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 71.92/10.91 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 93.79/14.13 % Solved by lams/s6.sh. 93.79/14.13 % done 1053 iterations in 13.362s 93.79/14.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 93.79/14.13 % SZS output start Refutation 93.79/14.13 tff(def_rt_moreis, axiom, rt_moreis() = 93.79/14.13 ^[X0,X1]: l_or(rt_more(X0,X1),rt_is(X0,X1))). 93.79/14.13 tff(def_rt_more, axiom, rt_more() = 93.79/14.13 ^[X0,X1]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[X2]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[X3]: 93.79/14.13 and3(inf(X2,class(X0)),inf(X3,class(X1)),moref(X2,X3))))). 93.79/14.13 tff(def_class, axiom, class() = ecect(frac,n_eq)). 93.79/14.13 tff('0', plain, class = ecect(frac,n_eq), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_class])). 93.79/14.13 tff('1', plain, class = ecect(frac,n_eq), define([status(thm)])). 93.79/14.13 tff(def_inf, axiom, inf() = esti(frac)). 93.79/14.13 tff('2', plain, inf = esti(frac), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_inf])). 93.79/14.13 tff('3', plain, inf = esti(frac), define([status(thm)])). 93.79/14.13 tff(def_and3, axiom, and3() = ^[X0:$o,X1:$o,X2:$o]: d_and(X0,d_and(X1,X2))). 93.79/14.13 tff('4', plain, and3 = (^[X0:$o,X1:$o,X2:$o]: d_and(X0,d_and(X1,X2))), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_and3])). 93.79/14.13 tff('5', plain, and3 = (^[V_1:$o,V_2:$o,V_3:$o]: d_and(V_1,d_and(V_2,V_3))), 93.79/14.13 define([status(thm)])). 93.79/14.13 tff('6', plain, 93.79/14.13 rt_more = 93.79/14.13 (^[X0,X1]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[X2]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[X3]: 93.79/14.13 and3(inf(X2,class(X0)),inf(X3,class(X1)), 93.79/14.13 moref(X2,X3))))), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_rt_more, '1', '3', '5'])). 93.79/14.13 tff('7', plain, 93.79/14.13 rt_more = 93.79/14.13 (^[V_1,V_2]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_3]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_4]: 93.79/14.13 and3(inf(V_3,class(V_1)),inf(V_4,class(V_2)), 93.79/14.13 moref(V_3,V_4))))), 93.79/14.13 define([status(thm)])). 93.79/14.13 tff(def_rt_is, axiom, rt_is() = e_is(rat)). 93.79/14.13 tff(def_rat, axiom, rat() = ect(frac,n_eq)). 93.79/14.13 tff('8', plain, rat = ect(frac,n_eq), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_rat])). 93.79/14.13 tff('9', plain, rat = ect(frac,n_eq), define([status(thm)])). 93.79/14.13 tff(def_e_is, axiom, e_is() = ^[X0,X,Y]: (X = Y)). 93.79/14.13 tff('10', plain, e_is = (^[X0,X,Y]: (X = Y)), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_e_is])). 93.79/14.13 tff('11', plain, e_is = (^[V_1,V_2,V_3]: (V_2 = V_3)), define([status(thm)])). 93.79/14.13 tff('12', plain, rt_is = e_is(rat), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_rt_is, '9', '11'])). 93.79/14.13 tff('13', plain, rt_is = e_is(rat), define([status(thm)])). 93.79/14.13 tff(def_l_or, axiom, l_or() = ^[X0:$o]: imp(d_not(X0))). 93.79/14.13 tff(def_d_not, axiom, d_not() = ^[X0:$o]: imp(X0,$false)). 93.79/14.13 tff(def_imp, axiom, imp() = ^[X0:$o,X1:$o]: (X0 => X1)). 93.79/14.13 tff('14', plain, imp = (^[X0:$o,X1:$o]: (X0 => X1)), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_imp])). 93.79/14.13 tff('15', plain, imp = (^[V_1:$o,V_2:$o]: (V_1 => V_2)), 93.79/14.13 define([status(thm)])). 93.79/14.13 tff('16', plain, d_not = (^[X0:$o]: imp(X0,$false)), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_d_not, '15'])). 93.79/14.13 tff('17', plain, d_not = (^[V_1:$o]: imp(V_1,$false)), define([status(thm)])). 93.79/14.13 tff('18', plain, l_or = (^[X0:$o]: imp(d_not(X0))), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_l_or, '17', '15'])). 93.79/14.13 tff('19', plain, l_or = (^[V_1:$o]: imp(d_not(V_1))), define([status(thm)])). 93.79/14.13 tff('20', plain, rt_moreis = (^[X0,X1]: l_or(rt_more(X0,X1),rt_is(X0,X1))), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], 93.79/14.13 [def_rt_moreis, '7', '1', '13', '9', '3', '11', '5', '19', 93.79/14.13 '17', '15'])). 93.79/14.13 tff('21', plain, 93.79/14.13 rt_moreis = (^[V_1,V_2]: l_or(rt_more(V_1,V_2),rt_is(V_1,V_2))), 93.79/14.13 define([status(thm)])). 93.79/14.13 tff(def_rt_less, axiom, rt_less() = 93.79/14.13 ^[X0,X1]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[X2]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[X3]: 93.79/14.13 and3(inf(X2,class(X0)),inf(X3,class(X1)),lessf(X2,X3))))). 93.79/14.13 tff('22', plain, 93.79/14.13 rt_less = 93.79/14.13 (^[X0,X1]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[X2]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[X3]: 93.79/14.13 and3(inf(X2,class(X0)),inf(X3,class(X1)), 93.79/14.13 lessf(X2,X3))))), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_rt_less, '1', '3', '5'])). 93.79/14.13 tff('23', plain, 93.79/14.13 rt_less = 93.79/14.13 (^[V_1,V_2]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_3]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_4]: 93.79/14.13 and3(inf(V_3,class(V_1)),inf(V_4,class(V_2)), 93.79/14.13 lessf(V_3,V_4))))), 93.79/14.13 define([status(thm)])). 93.79/14.13 tff(def_all_of, axiom, all_of() = 93.79/14.13 ^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))). 93.79/14.13 tff('24', plain, 93.79/14.13 all_of = 93.79/14.13 (^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_all_of])). 93.79/14.13 tff('25', plain, 93.79/14.13 all_of = 93.79/14.13 (^[V_1:(($i > $o)),V_2:(($i > $o))]: (![X4]: (is_of(X4,V_1) => V_2(X4)))), 93.79/14.13 define([status(thm)])). 93.79/14.13 tff(satz81f, conjecture, 93.79/14.13 (all_of(^[X0]: in(X0,rat), 93.79/14.13 ^[X0]: 93.79/14.13 all_of(^[X1]: in(X1,rat), 93.79/14.13 ^[X1]: (d_not(rt_less(X0,X1)) => rt_moreis(X0,X1)))))). 93.79/14.13 tff(zf_stmt_0, conjecture, 93.79/14.13 (![X4]: 93.79/14.13 (is_of(X4,^[V_1]: in(V_1,ect(frac,n_eq))) => 93.79/14.13 (![X6]: 93.79/14.13 (is_of(X6,^[V_2]: in(V_2,ect(frac,n_eq))) => 93.79/14.13 ((~ 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_3]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_4]: 93.79/14.13 d_and(esti(frac,V_3,ecect(frac,n_eq,X4)), 93.79/14.13 d_and(esti(frac,V_4,ecect(frac,n_eq,X6)), 93.79/14.13 lessf(V_3,V_4)))))) => 93.79/14.13 ((~ 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_5]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_6]: 93.79/14.13 d_and(esti(frac,V_5,ecect(frac,n_eq,X4)), 93.79/14.13 d_and(esti(frac,V_6,ecect(frac,n_eq,X6)), 93.79/14.13 moref(V_5,V_6)))))) => 93.79/14.13 (X4 = X6)))))))). 93.79/14.13 tff(zf_stmt_1, negated_conjecture, 93.79/14.13 (~ 93.79/14.13 (![X4]: 93.79/14.13 (is_of(X4,^[V_1]: in(V_1,ect(frac,n_eq))) => 93.79/14.13 (![X6]: 93.79/14.13 (is_of(X6,^[V_2]: in(V_2,ect(frac,n_eq))) => 93.79/14.13 ((~ 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_3]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_4]: 93.79/14.13 d_and(esti(frac,V_3,ecect(frac,n_eq,X4)), 93.79/14.13 d_and(esti(frac,V_4, 93.79/14.13 ecect(frac,n_eq,X6)), 93.79/14.13 lessf(V_3,V_4)))))) => 93.79/14.13 ((~ 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_5]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_6]: 93.79/14.13 d_and(esti(frac,V_5,ecect(frac,n_eq,X4)), 93.79/14.13 d_and(esti(frac,V_6, 93.79/14.13 ecect(frac,n_eq,X6)), 93.79/14.13 moref(V_5,V_6)))))) => 93.79/14.13 (X4 = X6))))))))). 93.79/14.13 tff('26', plain, 93.79/14.13 ~ l_some(frac, 93.79/14.13 (^[Y0 : $i]: 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y1 : $i]: 93.79/14.13 d_and(esti(frac, Y0, ecect(frac, n_eq, sk_X4)), 93.79/14.13 d_and(esti(frac, Y1, ecect(frac, n_eq, sk_X6)), 93.79/14.13 lessf(Y0, Y1))))))), 93.79/14.13 inference('cnf', [status(esa)], [zf_stmt_1])). 93.79/14.13 tff('27', plain, is_of(sk_X4, (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))), 93.79/14.13 inference('cnf', [status(esa)], [zf_stmt_1])). 93.79/14.13 tff('28', plain, is_of(sk_X6, (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))), 93.79/14.13 inference('cnf', [status(esa)], [zf_stmt_1])). 93.79/14.13 tff(def_or3, axiom, or3() = ^[X0:$o,X1:$o,X2:$o]: l_or(X0,l_or(X1,X2))). 93.79/14.13 tff('29', plain, or3 = (^[X0:$o,X1:$o,X2:$o]: l_or(X0,l_or(X1,X2))), 93.79/14.13 inference('simplify_rw_rule', [status(thm)], [def_or3, '19', '17', '15'])). 93.79/14.13 tff('30', plain, or3 = (^[V_1:$o,V_2:$o,V_3:$o]: l_or(V_1,l_or(V_2,V_3))), 93.79/14.13 define([status(thm)])). 93.79/14.13 tff(satz81a, axiom, 93.79/14.13 (all_of(^[X0]: in(X0,rat), 93.79/14.13 ^[X0]: 93.79/14.13 all_of(^[X1]: in(X1,rat), 93.79/14.13 ^[X1]: or3(rt_is(X0,X1),rt_more(X0,X1),rt_less(X0,X1)))))). 93.79/14.13 tff(zf_stmt_2, axiom, 93.79/14.13 (![X4]: 93.79/14.13 (is_of(X4,^[V_1]: in(V_1,ect(frac,n_eq))) => 93.79/14.13 (![X6]: 93.79/14.13 (is_of(X6,^[V_2]: in(V_2,ect(frac,n_eq))) => 93.79/14.13 ((X4 != X6) => 93.79/14.13 ((~ 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_3]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_4]: 93.79/14.13 d_and(esti(frac,V_3,ecect(frac,n_eq,X4)), 93.79/14.13 d_and(esti(frac,V_4,ecect(frac,n_eq,X6)), 93.79/14.13 moref(V_3,V_4)))))) => 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_5]: 93.79/14.13 l_some(frac, 93.79/14.13 ^[V_6]: 93.79/14.13 d_and(esti(frac,V_5,ecect(frac,n_eq,X4)), 93.79/14.13 d_and(esti(frac,V_6,ecect(frac,n_eq,X6)), 93.79/14.13 lessf(V_5,V_6)))))))))))). 93.79/14.13 tff('31', plain, 93.79/14.13 ![X660, X661]: 93.79/14.13 (~ is_of(X660, (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))) 93.79/14.13 | l_some(frac, 93.79/14.13 (^[Y0 : $i]: 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y1 : $i]: 93.79/14.13 d_and(esti(frac, Y0, ecect(frac, n_eq, X661)), 93.79/14.13 d_and(esti(frac, Y1, ecect(frac, n_eq, X660)), 93.79/14.13 moref(Y0, Y1))))))) 93.79/14.13 | l_some(frac, 93.79/14.13 (^[Y0 : $i]: 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y1 : $i]: 93.79/14.13 d_and(esti(frac, Y0, ecect(frac, n_eq, X661)), 93.79/14.13 d_and(esti(frac, Y1, ecect(frac, n_eq, X660)), 93.79/14.13 lessf(Y0, Y1))))))) 93.79/14.13 | X661 = X660 93.79/14.13 | ~ is_of(X661, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))), 93.79/14.13 inference('cnf', [status(esa)], [zf_stmt_2])). 93.79/14.13 tff('32', plain, 93.79/14.13 ![X0]: 93.79/14.13 (~ is_of(X0, (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))) 93.79/14.13 | X0 = sk_X6 93.79/14.13 | l_some(frac, 93.79/14.13 (^[Y0 : $i]: 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y1 : $i]: 93.79/14.13 d_and(esti(frac, Y0, ecect(frac, n_eq, X0)), 93.79/14.13 d_and(esti(frac, Y1, ecect(frac, n_eq, sk_X6)), 93.79/14.13 lessf(Y0, Y1))))))) 93.79/14.13 | l_some(frac, 93.79/14.13 (^[Y0 : $i]: 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y1 : $i]: 93.79/14.13 d_and(esti(frac, Y0, ecect(frac, n_eq, X0)), 93.79/14.13 d_and(esti(frac, Y1, ecect(frac, n_eq, sk_X6)), 93.79/14.13 moref(Y0, Y1)))))))), 93.79/14.13 inference('sup-', [status(thm)], ['28', '31'])). 93.79/14.13 tff('33', plain, 93.79/14.13 ( l_some(frac, 93.79/14.13 (^[Y0 : $i]: 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y1 : $i]: 93.79/14.13 d_and(esti(frac, Y0, ecect(frac, n_eq, sk_X4)), 93.79/14.13 d_and(esti(frac, Y1, ecect(frac, n_eq, sk_X6)), 93.79/14.13 moref(Y0, Y1))))))) 93.79/14.13 | l_some(frac, 93.79/14.13 (^[Y0 : $i]: 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y1 : $i]: 93.79/14.13 d_and(esti(frac, Y0, ecect(frac, n_eq, sk_X4)), 93.79/14.13 d_and(esti(frac, Y1, ecect(frac, n_eq, sk_X6)), 93.79/14.13 lessf(Y0, Y1))))))) 93.79/14.13 | sk_X4 = sk_X6), 93.79/14.13 inference('sup-', [status(thm)], ['27', '32'])). 93.79/14.13 tff('34', plain, sk_X4 != sk_X6, inference('cnf', [status(esa)], [zf_stmt_1])). 93.79/14.13 tff('35', plain, 93.79/14.13 ( l_some(frac, 93.79/14.13 (^[Y0 : $i]: 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y1 : $i]: 93.79/14.13 d_and(esti(frac, Y0, ecect(frac, n_eq, sk_X4)), 93.79/14.13 d_and(esti(frac, Y1, ecect(frac, n_eq, sk_X6)), 93.79/14.13 moref(Y0, Y1))))))) 93.79/14.13 | l_some(frac, 93.79/14.13 (^[Y0 : $i]: 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y1 : $i]: 93.79/14.13 d_and(esti(frac, Y0, ecect(frac, n_eq, sk_X4)), 93.79/14.13 d_and(esti(frac, Y1, ecect(frac, n_eq, sk_X6)), 93.79/14.13 lessf(Y0, Y1)))))))), 93.79/14.13 inference('simplify_reflect-', [status(thm)], ['33', '34'])). 93.79/14.13 tff('36', plain, 93.79/14.13 ~ l_some(frac, 93.79/14.13 (^[Y0 : $i]: 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y1 : $i]: 93.79/14.13 d_and(esti(frac, Y0, ecect(frac, n_eq, sk_X4)), 93.79/14.13 d_and(esti(frac, Y1, ecect(frac, n_eq, sk_X6)), 93.79/14.13 moref(Y0, Y1))))))), 93.79/14.13 inference('cnf', [status(esa)], [zf_stmt_1])). 93.79/14.13 tff('37', plain, 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y0 : $i]: 93.79/14.13 l_some(frac, 93.79/14.13 (^[Y1 : $i]: 93.79/14.13 d_and(esti(frac, Y0, ecect(frac, n_eq, sk_X4)), 93.79/14.13 d_and(esti(frac, Y1, ecect(frac, n_eq, sk_X6)), 93.79/14.13 lessf(Y0, Y1))))))), 93.79/14.13 inference('clc', [status(thm)], ['35', '36'])). 93.79/14.13 tff('38', plain, $false, inference('demod', [status(thm)], ['26', '37'])). 93.79/14.13 93.79/14.13 % SZS output end Refutation 93.79/14.13 93.79/14.13 93.79/14.13 % Terminating... 94.46/14.25 % Runner terminated. 94.46/14.26 % Zipperpin 1.5 exiting 94.46/14.27 EOF