0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.17 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.HAmsP8Q3yc 0.18/0.38 % Computer : n026.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 : 960 0.18/0.38 % DateTime : Thu Jul 2 09:27:40 EDT 2020 0.18/0.39 % CPUTime : 0.18/0.39 % Running portfolio for 120 s 0.18/0.39 % File : /export/starexec/sandbox/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 0.58/0.70 % Estimated wc time : 1286 0.58/0.70 % Estimated cpu time (7 cpus) : 183.71428571428572 0.60/0.74 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.60/0.76 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.60/0.76 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.61/0.79 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.61/0.79 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.61/0.79 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.61/0.80 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 71.12/10.85 % /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s 104.66/15.74 % /export/starexec/sandbox/solver/bin/lams/b.sh running for 31s 105.45/15.89 % /export/starexec/sandbox/solver/bin/lams/sh1.sh running for 26s 146.07/21.69 % /export/starexec/sandbox/solver/bin/lams/b.lsimp.sh running for 17s 146.51/21.80 % /export/starexec/sandbox/solver/bin/lams/b.split.sh running for 31s 181.41/26.86 % /export/starexec/sandbox/solver/bin/lams/s4.sh running for 15s 188.70/27.97 % /export/starexec/sandbox/solver/bin/lams/b.rw.sh running for 26s 262.22/38.58 % /export/starexec/sandbox/solver/bin/lams/c_ic.sh running for 42s 285.36/41.94 % /export/starexec/sandbox/solver/bin/lams/s1.f.sh running for 15s 285.91/42.07 % /export/starexec/sandbox/solver/bin/lams/c.preprocess2.sh running for 21s 324.77/47.91 % /export/starexec/sandbox/solver/bin/lams/sh.or.sh running for 26s 340.28/50.15 % /export/starexec/sandbox/solver/bin/lams/new.cs3.comb.sh running for 18s 358.95/52.84 % /export/starexec/sandbox/solver/bin/lams/old_b2.sh running for 31s 367.18/54.09 % /export/starexec/sandbox/solver/bin/lams/sp5.sh running for 36s 386.94/57.00 % /export/starexec/sandbox/solver/bin/lams/b2.sh running for 15s 429.44/63.17 % /export/starexec/sandbox/solver/bin/lams/b.lcnf.od.sh running for 26s 465.69/68.50 % /export/starexec/sandbox/solver/bin/lams/c.s.sh running for 36s 469.41/69.16 % /export/starexec/sandbox/solver/bin/lams/b3.sh running for 26s 489.84/72.09 % /export/starexec/sandbox/solver/bin/lams/cmb.lcnf.sh running for 10s 547.35/80.41 % /export/starexec/sandbox/solver/bin/lams/sh.eqenc.sh running for 17s 559.59/82.19 % /export/starexec/sandbox/solver/bin/lams/p.ll.e2.sh running for 17s 571.10/83.91 % /export/starexec/sandbox/solver/bin/lams/c.cmb.sh running for 21s 608.31/89.33 % /export/starexec/sandbox/solver/bin/lams/cs1.sh running for 47s 608.56/89.40 % Solved by lams/c.s.sh. 608.56/89.40 % Running : timeout 27 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.HAmsP8Q3yc/e_input5a353c --cpu-limit=25 --auto-schedule -s -p. 608.56/89.40 % done 1318 iterations in 20.867s 608.56/89.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 608.56/89.40 % SZS output start Refutation 608.56/89.40 tff(def_n_pf, axiom, n_pf() = 608.56/89.40 ^[X0,X1]: 608.56/89.40 n_fr(n_pl(n_ts(num(X0),den(X1)),n_ts(num(X1),den(X0))), 608.56/89.40 n_ts(den(X0),den(X1)))). 608.56/89.40 tff('0', plain, 608.56/89.40 n_pf = 608.56/89.40 (^[X0,X1]: 608.56/89.40 n_fr(n_pl(n_ts(num(X0),den(X1)),n_ts(num(X1),den(X0))), 608.56/89.40 n_ts(den(X0),den(X1)))), 608.56/89.40 inference('simplify_rw_rule', [status(thm)], [def_n_pf])). 608.56/89.40 tff('1', plain, 608.56/89.40 n_pf = 608.56/89.40 (^[V_1,V_2]: 608.56/89.40 n_fr(n_pl(n_ts(num(V_1),den(V_2)),n_ts(num(V_2),den(V_1))), 608.56/89.40 n_ts(den(V_1),den(V_2)))), 608.56/89.40 define([status(thm)])). 608.56/89.40 tff(def_lessf, axiom, lessf() = 608.56/89.40 ^[X0,X1]: iii(n_ts(num(X0),den(X1)),n_ts(num(X1),den(X0)))). 608.56/89.40 tff(def_iii, axiom, iii() = ^[X0,X1]: n_some(diffprop(X1,X0))). 608.56/89.40 tff(def_n_some, axiom, n_some() = l_some(nat)). 608.56/89.40 tff('2', plain, n_some = l_some(nat), 608.56/89.40 inference('simplify_rw_rule', [status(thm)], [def_n_some])). 608.56/89.40 tff('3', plain, n_some = l_some(nat), define([status(thm)])). 608.56/89.40 tff('4', plain, iii = (^[X0,X1]: n_some(diffprop(X1,X0))), 608.56/89.40 inference('simplify_rw_rule', [status(thm)], [def_iii, '3'])). 608.56/89.40 tff('5', plain, iii = (^[V_1,V_2]: n_some(diffprop(V_2,V_1))), 608.56/89.40 define([status(thm)])). 608.56/89.40 tff('6', plain, 608.56/89.40 lessf = (^[X0,X1]: iii(n_ts(num(X0),den(X1)),n_ts(num(X1),den(X0)))), 608.56/89.40 inference('simplify_rw_rule', [status(thm)], [def_lessf, '5', '3'])). 608.56/89.40 tff('7', plain, 608.56/89.40 lessf = 608.56/89.40 (^[V_1,V_2]: iii(n_ts(num(V_1),den(V_2)),n_ts(num(V_2),den(V_1)))), 608.56/89.40 define([status(thm)])). 608.56/89.40 tff(def_frac, axiom, frac() = pair1type(nat)). 608.56/89.40 tff('8', plain, frac = pair1type(nat), 608.56/89.40 inference('simplify_rw_rule', [status(thm)], [def_frac])). 608.56/89.40 tff('9', plain, frac = pair1type(nat), define([status(thm)])). 608.56/89.40 tff(def_all_of, axiom, all_of() = 608.56/89.40 ^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))). 608.56/89.40 tff('10', plain, 608.56/89.40 all_of = 608.56/89.40 (^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))), 608.56/89.40 inference('simplify_rw_rule', [status(thm)], [def_all_of])). 608.56/89.40 tff('11', plain, 608.56/89.40 all_of = 608.56/89.40 (^[V_1:(($i > $o)),V_2:(($i > $o))]: (![X4]: (is_of(X4,V_1) => V_2(X4)))), 608.56/89.40 define([status(thm)])). 608.56/89.40 tff(satz60a, conjecture, 608.56/89.40 (all_of(^[X0]: in(X0,frac), 608.56/89.40 ^[X0]: all_of(^[X1]: in(X1,frac),^[X1]: lessf(X0,n_pf(X0,X1)))))). 608.56/89.40 tff(zf_stmt_0, conjecture, 608.56/89.40 (![X4]: 608.56/89.40 (is_of(X4,^[V_1]: in(V_1,pair1type(nat))) => 608.56/89.40 (![X6]: 608.56/89.40 (is_of(X6,^[V_2]: in(V_2,pair1type(nat))) => 608.56/89.40 l_some(nat, 608.56/89.40 diffprop(n_ts(num(n_fr(n_pl(n_ts(num(X4),den(X6)), 608.56/89.40 n_ts(num(X6),den(X4))), 608.56/89.40 n_ts(den(X4),den(X6)))), 608.56/89.40 den(X4)), 608.56/89.40 n_ts(num(X4), 608.56/89.40 den(n_fr(n_pl(n_ts(num(X4),den(X6)), 608.56/89.40 n_ts(num(X6),den(X4))), 608.56/89.40 n_ts(den(X4),den(X6)))))))))))). 608.56/89.40 tff(zf_stmt_1, negated_conjecture, 608.56/89.40 (~ 608.56/89.40 (![X4]: 608.56/89.40 (is_of(X4,^[V_1]: in(V_1,pair1type(nat))) => 608.56/89.40 (![X6]: 608.56/89.40 (is_of(X6,^[V_2]: in(V_2,pair1type(nat))) => 608.56/89.40 l_some(nat, 608.56/89.40 diffprop(n_ts(num(n_fr(n_pl(n_ts(num(X4),den(X6)), 608.56/89.40 n_ts(num(X6),den(X4))), 608.56/89.40 n_ts(den(X4),den(X6)))), 608.56/89.40 den(X4)), 608.56/89.40 n_ts(num(X4), 608.56/89.40 den(n_fr(n_pl(n_ts(num(X4),den(X6)), 608.56/89.40 n_ts(num(X6),den(X4))), 608.56/89.40 n_ts(den(X4),den(X6))))))))))))). 608.56/89.40 tff('12', plain, is_of(sk_X6, (^[Y0 : $i]: in(Y0, pair1type(nat)))), 608.56/89.40 inference('cnf', [status(esa)], [zf_stmt_1])). 608.56/89.40 tff(def_n_eq, axiom, n_eq() = 608.56/89.40 ^[X0,X1]: n_is(n_ts(num(X0),den(X1)),n_ts(num(X1),den(X0)))). 608.56/89.40 tff('13', plain, 608.56/89.40 n_eq = (^[X0,X1]: n_is(n_ts(num(X0),den(X1)),n_ts(num(X1),den(X0)))), 608.56/89.40 inference('simplify_rw_rule', [status(thm)], [def_n_eq])). 608.56/89.40 tff('14', plain, 608.56/89.40 n_eq = 608.56/89.40 (^[V_1,V_2]: n_is(n_ts(num(V_1),den(V_2)),n_ts(num(V_2),den(V_1)))), 608.56/89.40 define([status(thm)])). 608.56/89.40 tff(satz58, axiom, 608.56/89.40 (all_of(^[X0]: in(X0,frac), 608.56/89.40 ^[X0]: 608.56/89.40 all_of(^[X1]: in(X1,frac),^[X1]: n_eq(n_pf(X0,X1),n_pf(X1,X0)))))). 608.56/89.40 tff(zf_stmt_2, axiom, 608.56/89.40 (![X4]: 608.56/89.40 (is_of(X4,^[V_1]: in(V_1,pair1type(nat))) => 608.56/89.40 (![X6]: 608.56/89.40 (is_of(X6,^[V_2]: in(V_2,pair1type(nat))) => 608.56/89.40 n_is(n_ts(num(n_fr(n_pl(n_ts(num(X4),den(X6)),n_ts(num(X6),den(X4))), 608.56/89.40 n_ts(den(X4),den(X6)))), 608.56/89.40 den(n_fr(n_pl(n_ts(num(X6),den(X4)),n_ts(num(X4),den(X6))), 608.56/89.40 n_ts(den(X6),den(X4))))), 608.56/89.40 n_ts(num(n_fr(n_pl(n_ts(num(X6),den(X4)),n_ts(num(X4),den(X6))), 608.56/89.40 n_ts(den(X6),den(X4)))), 608.56/89.40 den(n_fr(n_pl(n_ts(num(X4),den(X6)),n_ts(num(X6),den(X4))), 608.56/89.40 n_ts(den(X4),den(X6))))))))))). 608.56/89.40 tff('15', plain, 608.56/89.40 ![X36, X37]: 608.56/89.40 (~ is_of(X36, (^[Y0 : $i]: in(Y0, pair1type(nat)))) 608.56/89.40 | n_is( 608.56/89.40 n_ts( 608.56/89.40 num( 608.56/89.40 n_fr( 608.56/89.40 n_pl(n_ts(num(X37), den(X36)), n_ts(num(X36), den(X37))), 608.56/89.40 n_ts(den(X37), den(X36)))), 608.56/89.40 den( 608.56/89.40 n_fr( 608.56/89.40 n_pl(n_ts(num(X36), den(X37)), n_ts(num(X37), den(X36))), 608.56/89.40 n_ts(den(X36), den(X37))))), 608.56/89.40 n_ts( 608.56/89.40 num( 608.56/89.40 n_fr( 608.56/89.40 n_pl(n_ts(num(X36), den(X37)), n_ts(num(X37), den(X36))), 608.56/89.40 n_ts(den(X36), den(X37)))), 608.56/89.40 den( 608.56/89.40 n_fr( 608.56/89.40 n_pl(n_ts(num(X37), den(X36)), n_ts(num(X36), den(X37))), 608.56/89.40 n_ts(den(X37), den(X36)))))) 608.56/89.40 | ~ is_of(X37, (^[Y0 : $i]: in(Y0, pair1type(nat))))), 608.56/89.40 inference('cnf', [status(esa)], [zf_stmt_2])). 608.56/89.40 tff('16', plain, ![X38]: '#l_lift9430'(X38) = in(X38, pair1type(nat)), 608.56/89.40 define([status(thm)])). 608.56/89.40 tff('17', plain, is_of(sk_X6, '#l_lift9430'), 608.56/89.40 inference('lambda_lifting', [status(thm)], ['12', '16'])). 608.56/89.40 tff('18', plain, is_of(sk_X4, (^[Y0 : $i]: in(Y0, pair1type(nat)))), 608.56/89.40 inference('cnf', [status(esa)], [zf_stmt_1])). 608.56/89.40 tff('19', plain, ![X38]: '#l_lift9430'(X38) = in(X38, pair1type(nat)), 608.56/89.40 define([status(thm)])). 608.56/89.40 tff('20', plain, is_of(sk_X4, '#l_lift9430'), 608.56/89.40 inference('lambda_lifting', [status(thm)], ['18', '19'])). 608.56/89.40 tff(def_moref, axiom, moref() = 608.56/89.40 ^[X0,X1]: d_29_ii(n_ts(num(X0),den(X1)),n_ts(num(X1),den(X0)))). 608.56/89.40 tff(def_d_29_ii, axiom, d_29_ii() = ^[X0,X1]: n_some(diffprop(X0,X1))). 608.56/89.40 tff('21', plain, d_29_ii = (^[X0,X1]: n_some(diffprop(X0,X1))), 608.56/89.40 inference('simplify_rw_rule', [status(thm)], [def_d_29_ii, '3'])). 608.56/89.40 tff('22', plain, d_29_ii = (^[V_1,V_2]: n_some(diffprop(V_1,V_2))), 608.56/89.40 define([status(thm)])). 608.56/89.40 tff('23', plain, 608.56/89.40 moref = (^[X0,X1]: d_29_ii(n_ts(num(X0),den(X1)),n_ts(num(X1),den(X0)))), 608.56/89.40 inference('simplify_rw_rule', [status(thm)], [def_moref, '22', '3'])). 608.56/89.40 tff('24', plain, 608.56/89.40 moref = 608.56/89.40 (^[V_1,V_2]: d_29_ii(n_ts(num(V_1),den(V_2)),n_ts(num(V_2),den(V_1)))), 608.56/89.40 define([status(thm)])). 608.56/89.40 tff(satz60, axiom, 608.56/89.40 (all_of(^[X0]: in(X0,frac), 608.56/89.40 ^[X0]: all_of(^[X1]: in(X1,frac),^[X1]: moref(n_pf(X0,X1),X0))))). 608.56/89.40 tff(zf_stmt_3, axiom, 608.56/89.40 (![X4]: 608.56/89.40 (is_of(X4,^[V_1]: in(V_1,pair1type(nat))) => 608.56/89.40 (![X6]: 608.56/89.40 (is_of(X6,^[V_2]: in(V_2,pair1type(nat))) => 608.56/89.40 l_some(nat, 608.56/89.40 diffprop(n_ts(num(n_fr(n_pl(n_ts(num(X4),den(X6)), 608.56/89.40 n_ts(num(X6),den(X4))), 608.56/89.40 n_ts(den(X4),den(X6)))), 608.56/89.40 den(X4)), 608.56/89.40 n_ts(num(X4), 608.56/89.40 den(n_fr(n_pl(n_ts(num(X4),den(X6)), 608.56/89.40 n_ts(num(X6),den(X4))), 608.56/89.40 n_ts(den(X4),den(X6)))))))))))). 608.56/89.40 tff('25', plain, 608.56/89.40 ![X394, X395]: 608.56/89.40 (~ is_of(X394, (^[Y0 : $i]: in(Y0, pair1type(nat)))) 608.56/89.40 | l_some(nat, 608.56/89.40 diffprop( 608.56/89.40 n_ts( 608.56/89.40 num( 608.56/89.40 n_fr( 608.56/89.40 n_pl(n_ts(num(X395), den(X394)), 608.56/89.40 n_ts(num(X394), den(X395))), 608.56/89.40 n_ts(den(X395), den(X394)))), den(X395)), 608.56/89.40 n_ts(num(X395), 608.56/89.40 den( 608.56/89.40 n_fr( 608.56/89.40 n_pl(n_ts(num(X395), den(X394)), 608.56/89.40 n_ts(num(X394), den(X395))), 608.56/89.40 n_ts(den(X395), den(X394))))))) 608.56/89.40 | ~ is_of(X395, (^[Y0 : $i]: in(Y0, pair1type(nat))))), 608.56/89.40 inference('cnf', [status(esa)], [zf_stmt_3])). 608.56/89.40 tff('26', plain, ![X38]: '#l_lift9430'(X38) = in(X38, pair1type(nat)), 608.56/89.40 define([status(thm)])). 608.56/89.40 tff('27', plain, ![X38]: '#l_lift9430'(X38) = in(X38, pair1type(nat)), 608.56/89.40 define([status(thm)])). 608.56/89.40 tff('28', plain, 608.56/89.40 ![X394, X395]: 608.56/89.40 (~ is_of(X394, '#l_lift9430') 608.56/89.40 | l_some(nat, 608.56/89.40 diffprop( 608.56/89.40 n_ts( 608.56/89.40 num( 608.56/89.40 n_fr( 608.56/89.40 n_pl(n_ts(num(X395), den(X394)), 608.56/89.40 n_ts(num(X394), den(X395))), 608.56/89.40 n_ts(den(X395), den(X394)))), den(X395)), 608.56/89.40 n_ts(num(X395), 608.56/89.40 den( 608.56/89.40 n_fr( 608.56/89.40 n_pl(n_ts(num(X395), den(X394)), 608.56/89.40 n_ts(num(X394), den(X395))), 608.56/89.40 n_ts(den(X395), den(X394))))))) 608.56/89.40 | ~ is_of(X395, '#l_lift9430')), 608.56/89.40 inference('lambda_lifting', [status(thm)], ['25', '26', '27'])). 608.56/89.40 tff('29', plain, 608.56/89.40 ~ l_some(nat, 608.56/89.40 diffprop( 608.56/89.40 n_ts( 608.56/89.40 num( 608.56/89.40 n_fr( 608.56/89.40 n_pl(n_ts(num(sk_X4), den(sk_X6)), 608.56/89.40 n_ts(num(sk_X6), den(sk_X4))), 608.56/89.40 n_ts(den(sk_X4), den(sk_X6)))), den(sk_X4)), 608.56/89.40 n_ts(num(sk_X4), 608.56/89.40 den( 608.56/89.40 n_fr( 608.56/89.40 n_pl(n_ts(num(sk_X4), den(sk_X6)), 608.56/89.40 n_ts(num(sk_X6), den(sk_X4))), 608.56/89.40 n_ts(den(sk_X4), den(sk_X6))))))), 608.56/89.40 inference('cnf', [status(esa)], [zf_stmt_1])). 608.56/89.40 tff('30', plain, $false, 608.56/89.40 inference('eprover', [status(thm)], ['17', '20', '28', '29'])). 608.56/89.40 608.56/89.40 % SZS output end Refutation 608.56/89.40 608.56/89.40 608.56/89.40 % Terminating... 609.20/89.51 % Runner terminated. 609.20/89.52 % Zipperpin 1.5 exiting 609.20/89.53 EOF