0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.vCKbjSqa61 0.11/0.32 % Computer : n025.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % DateTime : Thu Jul 2 07:33:48 EDT 2020 0.11/0.32 % CPUTime : 0.11/0.32 % Running portfolio for 120 s 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.32 % Number of cores: 8 0.11/0.33 % Python version: Python 3.6.8 0.11/0.33 % Running in HO mode 0.43/0.60 % Estimated wc time : 1286 0.43/0.60 % Estimated cpu time (7 cpus) : 183.71428571428572 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.52/0.73 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.52/0.73 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.52/0.74 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 68.66/10.77 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 101.92/15.57 % /export/starexec/sandbox2/solver/bin/lams/b.sh running for 31s 103.18/15.74 % /export/starexec/sandbox2/solver/bin/lams/sh1.sh running for 26s 142.44/21.57 % /export/starexec/sandbox2/solver/bin/lams/b.lsimp.sh running for 17s 142.84/21.59 % /export/starexec/sandbox2/solver/bin/lams/b.split.sh running for 31s 177.75/26.77 % /export/starexec/sandbox2/solver/bin/lams/s4.sh running for 15s 183.14/27.56 % /export/starexec/sandbox2/solver/bin/lams/b.rw.sh running for 26s 184.50/27.77 % /export/starexec/sandbox2/solver/bin/lams/c_ic.sh running for 42s 259.53/38.59 % /export/starexec/sandbox2/solver/bin/lams/s1.f.sh running for 15s 280.64/41.62 % /export/starexec/sandbox2/solver/bin/lams/c.preprocess2.sh running for 21s 314.35/46.55 % /export/starexec/sandbox2/solver/bin/lams/sh.or.sh running for 26s 357.16/52.64 % /export/starexec/sandbox2/solver/bin/lams/new.cs3.comb.sh running for 18s 362.75/53.51 % /export/starexec/sandbox2/solver/bin/lams/old_b2.sh running for 31s 363.92/53.69 % /export/starexec/sandbox2/solver/bin/lams/sp5.sh running for 36s 371.08/54.91 % Solved by lams/sp5.sh. 371.08/54.91 % done 11 iterations in 1.182s 371.08/54.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 371.08/54.91 % SZS output start Refutation 371.08/54.91 tff(cTHM120I_1_pme, conjecture, 371.08/54.91 (?[R:((($i > $o) * ($i > $o)) > $o)]: 371.08/54.91 ((![X:(($i > $o)),Y:(($i > $o))]: 371.08/54.91 ((R(X,Y) & R(Y,X)) => (![Xx]: (X(Xx) <=> Y(Xx))))) & 371.08/54.91 (![Xx:(($i > $o)),Xy:(($i > $o)),Xz:(($i > $o))]: 371.08/54.91 ((R(Xx,Xy) & R(Xy,Xz)) => R(Xx,Xz))) & 371.08/54.91 (![Xx:(($i > $o))]: R(Xx,Xx))))). 371.08/54.91 tff(zf_stmt_0, negated_conjecture, 371.08/54.91 (~ 371.08/54.91 (?[R:((($i > $o) * ($i > $o)) > $o)]: 371.08/54.91 ((![X:(($i > $o)),Y:(($i > $o))]: 371.08/54.91 ((R(X,Y) & R(Y,X)) => (![Xx]: (X(Xx) <=> Y(Xx))))) & 371.08/54.91 (![Xx:(($i > $o)),Xy:(($i > $o)),Xz:(($i > $o))]: 371.08/54.91 ((R(Xx,Xy) & R(Xy,Xz)) => R(Xx,Xz))) & 371.08/54.91 (![Xx:(($i > $o))]: R(Xx,Xx)))))). 371.08/54.91 tff('0', plain, 371.08/54.91 ~ (??((^[Y0 : ($i > $o * $i > $o) > $o]: 371.08/54.91 ((!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 ((Y0(Y1, Y2) & Y0(Y2, Y1)) => 371.08/54.91 (!!((^[Y3 : $i]: (Y1(Y3) <=> Y2(Y3))))))))))))& 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (!!((^[Y3 : $i > $o]: 371.08/54.91 ((Y0(Y1, Y2) & Y0(Y2, Y3)) => Y0(Y1, Y3)))))))))))& 371.08/54.91 (!!((^[Y1 : $i > $o]: Y0(Y1, Y1)))))))), 371.08/54.91 inference('cnf', [status(esa)], [zf_stmt_0])). 371.08/54.91 tff('1', plain, 371.08/54.91 ![X1 : ($i > $o * $i > $o) > $o]: 371.08/54.91 ~ ((!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 ((X1(Y0, Y1) & X1(Y1, Y0)) => 371.08/54.91 (!!((^[Y2 : $i]: (Y0(Y2) <=> Y1(Y2))))))))))))& 371.08/54.91 (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 ((X1(Y0, Y1) & X1(Y1, Y2)) => X1(Y0, Y2)))))))))))& 371.08/54.91 (!!((^[Y0 : $i > $o]: X1(Y0, Y0))))), 371.08/54.91 inference('lazy_cnf_forall', [status(thm)], ['0'])). 371.08/54.91 tff('2', plain, 371.08/54.91 ~ ((!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & (=((>($o, $i)), Y1, Y0))) => 371.08/54.91 (!!((^[Y2 : $i]: (Y0(Y2) <=> Y1(Y2))))))))))))& 371.08/54.91 (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & 371.08/54.91 (=((>($o, $i)), Y1, Y2))) => 371.08/54.91 (=((>($o, $i)), Y0, Y2))))))))))))& 371.08/54.91 (!!((^[Y0 : $i > $o]: (=((>($o, $i)), Y0, Y0)))))), 371.08/54.91 inference('ho.refine.early.bird', [status(thm)], ['1'])). 371.08/54.91 tff('3', plain, 371.08/54.91 ~ ((!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & (=((>($o, $i)), Y1, Y0))) => 371.08/54.91 (!!((^[Y2 : $i]: (Y0(Y2) <=> Y1(Y2)))))))))))) & 371.08/54.91 (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & 371.08/54.91 (=((>($o, $i)), Y1, Y2))) => 371.08/54.91 (=((>($o, $i)), Y0, Y2))))))))))))), 371.08/54.91 inference('simplify boolean subterms', [status(thm)], ['2'])). 371.08/54.91 tff('4', plain, 371.08/54.91 (~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & (=((>($o, $i)), Y1, Y0))) => 371.08/54.91 (!!((^[Y2 : $i]: (Y0(Y2) <=> Y1(Y2)))))))))))) 371.08/54.91 | ~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & 371.08/54.91 (=((>($o, $i)), Y1, Y2))) => 371.08/54.91 (=((>($o, $i)), Y0, Y2))))))))))))), 371.08/54.91 inference('lazy_cnf_and', [status(thm)], ['3'])). 371.08/54.91 tff('5', plain, 371.08/54.91 (~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), '#sk1772', Y0)) & 371.08/54.91 (=((>($o, $i)), Y0, '#sk1772'))) => 371.08/54.91 (!!((^[Y1 : $i]: ('#sk1772'(Y1) <=> Y0(Y1))))))))) 371.08/54.91 | ~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & 371.08/54.91 (=((>($o, $i)), Y1, Y2))) => 371.08/54.91 (=((>($o, $i)), Y0, Y2))))))))))))), 371.08/54.91 inference('lazy_cnf_exists', [status(thm)], ['4'])). 371.08/54.91 tff('6', plain, 371.08/54.91 (~ (((=((>($o, $i)), '#sk1772', '#sk1773')) & 371.08/54.91 (=((>($o, $i)), '#sk1773', '#sk1772'))) => 371.08/54.91 (!!((^[Y0 : $i]: ('#sk1772'(Y0) <=> '#sk1773'(Y0)))))) 371.08/54.91 | ~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & 371.08/54.91 (=((>($o, $i)), Y1, Y2))) => 371.08/54.91 (=((>($o, $i)), Y0, Y2))))))))))))), 371.08/54.91 inference('lazy_cnf_exists', [status(thm)], ['5'])). 371.08/54.91 tff('7', plain, 371.08/54.91 (~ (!!((^[Y0 : $i]: ('#sk1772'(Y0) <=> '#sk1773'(Y0))))) 371.08/54.91 | ~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & 371.08/54.91 (=((>($o, $i)), Y1, Y2))) => 371.08/54.91 (=((>($o, $i)), Y0, Y2))))))))))))), 371.08/54.91 inference('lazy_cnf_imply', [status(thm)], ['6'])). 371.08/54.91 tff('8', plain, 371.08/54.91 ( ((=((>($o, $i)), '#sk1772', '#sk1773')) & 371.08/54.91 (=((>($o, $i)), '#sk1773', '#sk1772'))) 371.08/54.91 | ~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & 371.08/54.91 (=((>($o, $i)), Y1, Y2))) => 371.08/54.91 (=((>($o, $i)), Y0, Y2))))))))))))), 371.08/54.91 inference('lazy_cnf_imply', [status(thm)], ['6'])). 371.08/54.91 tff('9', plain, 371.08/54.91 ( '#form1774' 371.08/54.91 | ~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & 371.08/54.91 (=((>($o, $i)), Y1, Y2))) => 371.08/54.91 (=((>($o, $i)), Y0, Y2))))))))))))), 371.08/54.91 define([status(thm)])). 371.08/54.91 tff('10', plain, 371.08/54.91 (~ '#form1774' | ~ (!!((^[Y0 : $i]: ('#sk1772'(Y0) <=> '#sk1773'(Y0)))))), 371.08/54.91 inference('renaming', [status(thm)], ['7', '9'])). 371.08/54.91 tff('11', plain, 371.08/54.91 (~ ('#sk1772'('#sk1776') <=> '#sk1773'('#sk1776')) | ~ '#form1774'), 371.08/54.91 inference('lazy_cnf_exists', [status(thm)], ['10'])). 371.08/54.91 tff('12', plain, 371.08/54.91 ('#sk1772'('#sk1776') != '#sk1773'('#sk1776') | ~ '#form1774'), 371.08/54.91 inference('simplify nested equalities', [status(thm)], ['11'])). 371.08/54.91 tff('13', plain, 371.08/54.91 ( '#form1774' 371.08/54.91 | ~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & 371.08/54.91 (=((>($o, $i)), Y1, Y2))) => 371.08/54.91 (=((>($o, $i)), Y0, Y2))))))))))))), 371.08/54.91 define([status(thm)])). 371.08/54.91 tff('14', plain, 371.08/54.91 (~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), '#sk1775', Y0)) & 371.08/54.91 (=((>($o, $i)), Y0, Y1))) => 371.08/54.91 (=((>($o, $i)), '#sk1775', Y1))))))))) 371.08/54.91 | '#form1774'), 371.08/54.91 inference('lazy_cnf_exists', [status(thm)], ['13'])). 371.08/54.91 tff('15', plain, 371.08/54.91 (~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), '#sk1775', '#sk1777')) & 371.08/54.91 (=((>($o, $i)), '#sk1777', Y0))) => 371.08/54.91 (=((>($o, $i)), '#sk1775', Y0)))))) 371.08/54.91 | '#form1774'), 371.08/54.91 inference('lazy_cnf_exists', [status(thm)], ['14'])). 371.08/54.91 tff('16', plain, 371.08/54.91 (~ (((=((>($o, $i)), '#sk1775', '#sk1777')) & 371.08/54.91 (=((>($o, $i)), '#sk1777', '#sk1778'))) => 371.08/54.91 (=((>($o, $i)), '#sk1775', '#sk1778'))) 371.08/54.91 | '#form1774'), 371.08/54.91 inference('lazy_cnf_exists', [status(thm)], ['15'])). 371.08/54.91 tff('17', plain, 371.08/54.91 ( ((=((>($o, $i)), '#sk1775', '#sk1777')) & 371.08/54.91 (=((>($o, $i)), '#sk1777', '#sk1778'))) 371.08/54.91 | '#form1774'), 371.08/54.91 inference('lazy_cnf_imply', [status(thm)], ['16'])). 371.08/54.91 tff('18', plain, ( (=((>($o, $i)), '#sk1777', '#sk1778')) | '#form1774'), 371.08/54.91 inference('lazy_cnf_and', [status(thm)], ['17'])). 371.08/54.91 tff('19', plain, ('#sk1777' = '#sk1778' | '#form1774'), 371.08/54.91 inference('simplify nested equalities', [status(thm)], ['18'])). 371.08/54.91 tff('20', plain, (~ (=((>($o, $i)), '#sk1775', '#sk1778')) | '#form1774'), 371.08/54.91 inference('lazy_cnf_imply', [status(thm)], ['16'])). 371.08/54.91 tff('21', plain, ('#sk1775' != '#sk1778' | '#form1774'), 371.08/54.91 inference('simplify nested equalities', [status(thm)], ['20'])). 371.08/54.91 tff('22', plain, ('#sk1775' != '#sk1777' | '#form1774' | '#form1774'), 371.08/54.91 inference('sup-', [status(thm)], ['19', '21'])). 371.08/54.91 tff('23', plain, ( '#form1774' | '#sk1775' != '#sk1777'), 371.08/54.91 inference('simplify', [status(thm)], ['22'])). 371.08/54.91 tff('24', plain, ( (=((>($o, $i)), '#sk1775', '#sk1777')) | '#form1774'), 371.08/54.91 inference('lazy_cnf_and', [status(thm)], ['17'])). 371.08/54.91 tff('25', plain, ('#sk1775' = '#sk1777' | '#form1774'), 371.08/54.91 inference('simplify nested equalities', [status(thm)], ['24'])). 371.08/54.91 tff('26', plain, '#form1774', inference('clc', [status(thm)], ['23', '25'])). 371.08/54.91 tff('27', plain, '#sk1772'('#sk1776') != '#sk1773'('#sk1776'), 371.08/54.91 inference('demod', [status(thm)], ['12', '26'])). 371.08/54.91 tff('28', plain, 371.08/54.91 ( ((=((>($o, $i)), '#sk1772', '#sk1773')) & 371.08/54.91 (=((>($o, $i)), '#sk1773', '#sk1772'))) 371.08/54.91 | ~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & 371.08/54.91 (=((>($o, $i)), Y1, Y2))) => 371.08/54.91 (=((>($o, $i)), Y0, Y2))))))))))))), 371.08/54.91 inference('lazy_cnf_imply', [status(thm)], ['6'])). 371.08/54.91 tff('29', plain, 371.08/54.91 ( '#form1774' 371.08/54.91 | ~ (!!((^[Y0 : $i > $o]: 371.08/54.91 (!!((^[Y1 : $i > $o]: 371.08/54.91 (!!((^[Y2 : $i > $o]: 371.08/54.91 (((=((>($o, $i)), Y0, Y1)) & 371.08/54.91 (=((>($o, $i)), Y1, Y2))) => 371.08/54.91 (=((>($o, $i)), Y0, Y2))))))))))))), 371.08/54.91 define([status(thm)])). 371.08/54.91 tff('30', plain, 371.08/54.91 (~ '#form1774' 371.08/54.91 | ((=((>($o, $i)), '#sk1772', '#sk1773')) & 371.08/54.91 (=((>($o, $i)), '#sk1773', '#sk1772')))), 371.08/54.91 inference('renaming', [status(thm)], ['28', '29'])). 371.08/54.91 tff('31', plain, ( (=((>($o, $i)), '#sk1772', '#sk1773')) | ~ '#form1774'), 371.08/54.91 inference('lazy_cnf_and', [status(thm)], ['30'])). 371.08/54.91 tff('32', plain, ('#sk1772' = '#sk1773' | ~ '#form1774'), 371.08/54.91 inference('simplify nested equalities', [status(thm)], ['31'])). 371.08/54.91 tff('33', plain, '#form1774', inference('clc', [status(thm)], ['23', '25'])). 371.08/54.91 tff('34', plain, '#sk1772' = '#sk1773', 371.08/54.91 inference('demod', [status(thm)], ['32', '33'])). 371.08/54.91 tff('35', plain, ![X1]: '#sk1772'(X1) = '#sk1773'(X1), 371.08/54.91 inference('ho_complete_eq', [status(thm)], ['34'])). 371.08/54.91 tff('36', plain, '#sk1772'('#sk1776') != '#sk1772'('#sk1776'), 371.08/54.91 inference('demod', [status(thm)], ['27', '35'])). 371.08/54.91 tff('37', plain, $false, inference('simplify', [status(thm)], ['36'])). 371.08/54.91 371.08/54.91 % SZS output end Refutation 371.08/54.91 371.08/54.91 371.08/54.91 % Terminating... 371.08/54.95 % Runner terminated. 371.08/54.96 % Zipperpin 1.5 exiting 371.08/54.97 EOF