0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.14 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.0U1Pci65BJ 0.13/0.35 % Computer : n013.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1200 0.13/0.35 % DateTime : Tue Jul 13 10:08:53 EDT 2021 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 120 s 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.36 % Python version: Python 3.6.8 0.13/0.36 % Running in HO mode 0.53/0.66 % Estimated wc time : 1286 0.53/0.66 % Estimated cpu time (7 cpus) : 183.71428571428572 0.57/0.70 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.57/0.71 % /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 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.57/0.76 % /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 0.60/0.90 % Solved by lams/new_b3.2.norw.sh. 0.60/0.90 % done 38 iterations in 0.163s 0.60/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.60/0.90 % SZS output start Refutation 0.60/0.90 tff(cTHM623_pme, conjecture, 0.60/0.90 (((![Xp:(($i > $o)),Xq:(($i > $o))]: 0.60/0.90 ((Xp(c0) & (![Xu]: (Xp(Xu) => Xq(cS(Xu)))) & 0.60/0.90 (![Xv]: (Xq(Xv) => Xp(cS(Xv))))) => 0.60/0.90 ((![Xx]: (cEVEN(Xx) => Xp(Xx))) & (![Xx]: (cODD(Xx) => Xq(Xx)))))) & 0.60/0.90 (![Xn]: (cN(Xn) => cN(cS(Xn)))) & cN(c0)) => 0.60/0.90 (![Xm]: ((cEVEN(Xm) | cODD(Xm)) => cN(Xm))))). 0.60/0.90 tff(zf_stmt_0, negated_conjecture, 0.60/0.90 (~ 0.60/0.90 (((![Xp:(($i > $o)),Xq:(($i > $o))]: 0.60/0.90 ((Xp(c0) & (![Xu]: (Xp(Xu) => Xq(cS(Xu)))) & 0.60/0.90 (![Xv]: (Xq(Xv) => Xp(cS(Xv))))) => 0.60/0.90 ((![Xx]: (cEVEN(Xx) => Xp(Xx))) & (![Xx]: (cODD(Xx) => Xq(Xx)))))) & 0.60/0.90 (![Xn]: (cN(Xn) => cN(cS(Xn)))) & cN(c0)) => 0.60/0.90 (![Xm]: ((cEVEN(Xm) | cODD(Xm)) => cN(Xm)))))). 0.60/0.90 tff('0', plain, 0.60/0.90 ~ (((!!((^[Y0 : $i > $o]: 0.60/0.90 (!!((^[Y1 : $i > $o]: 0.60/0.90 ((Y0(c0)&(!!((^[Y2 : $i]: (Y0(Y2) => Y1(cS(Y2))))))& 0.60/0.90 (!!((^[Y2 : $i]: (Y1(Y2) => Y0(cS(Y2))))))) => 0.60/0.90 ((!!((^[Y2 : $i]: (cEVEN(Y2) => Y0(Y2))))) & 0.60/0.90 (!!((^[Y2 : $i]: (cODD(Y2) => Y1(Y2)))))))))))))& 0.60/0.90 (!!((^[Y0 : $i]: (cN(Y0) => cN(cS(Y0))))))&cN(c0)) => 0.60/0.90 (!!((^[Y0 : $i]: ((cEVEN(Y0) | cODD(Y0)) => cN(Y0)))))), 0.60/0.90 inference('cnf', [status(esa)], [zf_stmt_0])). 0.60/0.90 tff('1', plain, 0.60/0.90 ~ (((!!(($B(!!, 0.60/0.90 ($S(($B(S, 0.60/0.90 ($B(($B(=>)), 0.60/0.90 ($S(($B(S, 0.60/0.90 ($S(($B(B, ($B(&, ($C(I, c0)))))), 0.60/0.90 ($B(($B(!!)), 0.60/0.90 ($C(($B(B, ($B(S, ($B(=>)))))), ($C(B, cS)))))))))), 0.60/0.90 ($B(($B(!!)), ($B(($C(($B(S, ($B(=>)))))), ($C(B, cS)))))))))))), 0.60/0.90 ($C(($B(B, ($B(&, ($B(!!, ($S(($B(=>, cEVEN)))))))))), 0.60/0.90 ($B(!!, ($S(($B(=>, cODD))))))))))))))& 0.60/0.90 (!!(($S(($B(=>, cN)), ($B(cN, cS))))))&cN(c0)) => 0.60/0.90 (!!(($S(($B(=>, ($S(($B(|, cEVEN)), cODD)))), cN))))), 0.60/0.90 inference('lams2combs', [status(thm)], ['0'])). 0.60/0.90 tff('2', plain, ~ (!!(($S(($B(=>, ($S(($B(|, cEVEN)), cODD)))), cN)))), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['1'])). 0.60/0.90 tff('3', plain, ~ ((cEVEN('#sk1') | cODD('#sk1')) => cN('#sk1')), 0.60/0.90 inference('lazy_cnf_exists', [status(thm)], ['2'])). 0.60/0.90 tff('4', plain, ~ cN('#sk1'), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['3'])). 0.60/0.90 tff('5', plain, 0.60/0.90 ((!!(($B(!!, 0.60/0.90 ($S(($B(S, 0.60/0.90 ($B(($B(=>)), 0.60/0.90 ($S(($B(S, 0.60/0.90 ($S(($B(B, ($B(&, ($C(I, c0)))))), 0.60/0.90 ($B(($B(!!)), 0.60/0.90 ($C(($B(B, ($B(S, ($B(=>)))))), ($C(B, cS)))))))))), 0.60/0.90 ($B(($B(!!)), ($B(($C(($B(S, ($B(=>)))))), ($C(B, cS)))))))))))), 0.60/0.90 ($C(($B(B, ($B(&, ($B(!!, ($S(($B(=>, cEVEN)))))))))), 0.60/0.90 ($B(!!, ($S(($B(=>, cODD))))))))))))))& 0.60/0.90 (!!(($S(($B(=>, cN)), ($B(cN, cS))))))&cN(c0)), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['1'])). 0.60/0.90 tff('6', plain, 0.60/0.90 (!!(($B(!!, 0.60/0.90 ($S(($B(S, 0.60/0.90 ($B(($B(=>)), 0.60/0.90 ($S(($B(S, 0.60/0.90 ($S(($B(B, ($B(&, ($C(I, c0)))))), 0.60/0.90 ($B(($B(!!)), 0.60/0.90 ($C(($B(B, ($B(S, ($B(=>)))))), ($C(B, cS)))))))))), 0.60/0.90 ($B(($B(!!)), ($B(($C(($B(S, ($B(=>)))))), ($C(B, cS)))))))))))), 0.60/0.90 ($C(($B(B, ($B(&, ($B(!!, ($S(($B(=>, cEVEN)))))))))), 0.60/0.90 ($B(!!, ($S(($B(=>, cODD)))))))))))))), 0.60/0.90 inference('lazy_cnf_and', [status(thm)], ['5'])). 0.60/0.90 tff('7', plain, 0.60/0.90 ![X1 : $i > $o]: 0.60/0.90 (!!(($S(($B(=>, 0.60/0.90 ($S(($B((&(X1(c0))), 0.60/0.90 ($B(!!, ($B(($S(($B(=>, X1)))), ($C(B, cS)))))))), 0.60/0.90 ($B(!!, ($C(($B(S, ($B(=>)))), ($B(X1, cS)))))))))), 0.60/0.90 ($B((&((!!(($S(($B(=>, cEVEN)), X1)))))), 0.60/0.90 ($B(!!, ($S(($B(=>, cODD)))))))))))), 0.60/0.90 inference('lazy_cnf_forall', [status(thm)], ['6'])). 0.60/0.90 tff('8', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 ((X1(c0)&(!!(($S(($B(=>, X1)), ($B(X2, cS))))))& 0.60/0.90 (!!(($S(($B(=>, X2)), ($B(X1, cS))))))) => 0.60/0.90 ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2)))))), 0.60/0.90 inference('lazy_cnf_forall', [status(thm)], ['7'])). 0.60/0.90 tff('9', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 (~ (X1(c0)&(!!(($S(($B(=>, X1)), ($B(X2, cS))))))& 0.60/0.90 (!!(($S(($B(=>, X2)), ($B(X1, cS))))))) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2)))))), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['8'])). 0.60/0.90 tff('10', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 (~ X1(c0) 0.60/0.90 | ~ (!!(($S(($B(=>, X1)), ($B(X2, cS)))))) 0.60/0.90 | ~ (!!(($S(($B(=>, X2)), ($B(X1, cS)))))) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2)))))), 0.60/0.90 inference('lazy_cnf_and', [status(thm)], ['9'])). 0.60/0.90 tff('11', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 (~ (X1('#sk2'(X1, X2)) => X2(cS('#sk2'(X1, X2)))) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2))))) 0.60/0.90 | ~ (!!(($S(($B(=>, X2)), ($B(X1, cS)))))) 0.60/0.90 | ~ X1(c0)), 0.60/0.90 inference('lazy_cnf_exists', [status(thm)], ['10'])). 0.60/0.90 tff('12', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 ( X1('#sk2'(X1, X2)) 0.60/0.90 | ~ X1(c0) 0.60/0.90 | ~ (!!(($S(($B(=>, X2)), ($B(X1, cS)))))) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2)))))), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['11'])). 0.60/0.90 tff('13', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 (~ (X2('#sk2'(X2, X1)) => X1(cS('#sk2'(X2, X1)))) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2))))) 0.60/0.90 | ~ X1(c0) 0.60/0.90 | X1('#sk2'(X1, X2))), 0.60/0.90 inference('lazy_cnf_exists', [status(thm)], ['12'])). 0.60/0.90 tff('14', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 ( X2('#sk2'(X2, X1)) 0.60/0.90 | X1('#sk2'(X1, X2)) 0.60/0.90 | ~ X1(c0) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2)))))), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['13'])). 0.60/0.90 tff('15', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 ( X2('#sk2'(X2, X1)) 0.60/0.90 | X1('#sk2'(X1, X2)) 0.60/0.90 | ~ X1(c0) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2)))))), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['13'])). 0.60/0.90 tff('16', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 (~ '#form3'(X1, X2) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2)))))), 0.60/0.90 define([status(thm)])). 0.60/0.90 tff('17', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 ( '#form3'(X1, X2) 0.60/0.90 | ~ X1(c0) 0.60/0.90 | X1('#sk2'(X1, X2)) 0.60/0.90 | X2('#sk2'(X2, X1))), 0.60/0.90 inference('renaming', [status(thm)], ['14', '16'])). 0.60/0.90 tff('18', plain, 0.60/0.90 ![X0 : $i > $o]: ( X0('#sk2'(X0, X0)) | ~ X0(c0) | '#form3'(X0, X0)), 0.60/0.90 inference('eq_fact', [status(thm)], ['17'])). 0.60/0.90 tff('19', plain, (!!(($S(($B(=>, cN)), ($B(cN, cS)))))), 0.60/0.90 inference('lazy_cnf_and', [status(thm)], ['5'])). 0.60/0.90 tff('20', plain, ![X1]: (cN(X1) => cN(cS(X1))), 0.60/0.90 inference('lazy_cnf_forall', [status(thm)], ['19'])). 0.60/0.90 tff('21', plain, ![X1]: (~ cN(X1) | cN(cS(X1))), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['20'])). 0.60/0.90 tff('22', plain, ( '#form3'(cN, cN) | ~ cN(c0) | cN(cS('#sk2'(cN, cN)))), 0.60/0.90 inference('sup-', [status(thm)], ['18', '21'])). 0.60/0.90 tff('23', plain, cN(c0), inference('lazy_cnf_and', [status(thm)], ['5'])). 0.60/0.90 tff('24', plain, ( '#form3'(cN, cN) | cN(cS('#sk2'(cN, cN)))), 0.60/0.90 inference('demod', [status(thm)], ['22', '23'])). 0.60/0.90 tff('25', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 (~ X2(cS('#sk2'(X1, X2))) 0.60/0.90 | ~ X1(c0) 0.60/0.90 | ~ (!!(($S(($B(=>, X2)), ($B(X1, cS)))))) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2)))))), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['11'])). 0.60/0.90 tff('26', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 (~ (X2('#sk2'(X2, X1)) => X1(cS('#sk2'(X2, X1)))) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2))))) 0.60/0.90 | ~ X1(c0) 0.60/0.90 | ~ X2(cS('#sk2'(X1, X2)))), 0.60/0.90 inference('lazy_cnf_exists', [status(thm)], ['25'])). 0.60/0.90 tff('27', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 (~ X1(cS('#sk2'(X2, X1))) 0.60/0.90 | ~ X2(cS('#sk2'(X1, X2))) 0.60/0.90 | ~ X1(c0) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2)))))), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['26'])). 0.60/0.90 tff('28', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 (~ '#form3'(X1, X2) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2)))))), 0.60/0.90 define([status(thm)])). 0.60/0.90 tff('29', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 ( '#form3'(X1, X2) 0.60/0.90 | ~ X1(c0) 0.60/0.90 | ~ X2(cS('#sk2'(X1, X2))) 0.60/0.90 | ~ X1(cS('#sk2'(X2, X1)))), 0.60/0.90 inference('renaming', [status(thm)], ['27', '28'])). 0.60/0.90 tff('30', plain, 0.60/0.90 ( '#form3'(cN, cN) 0.60/0.90 | ~ cN(cS('#sk2'(cN, cN))) 0.60/0.90 | ~ cN(c0) 0.60/0.90 | '#form3'(cN, cN)), 0.60/0.90 inference('sup-', [status(thm)], ['24', '29'])). 0.60/0.90 tff('31', plain, cN(c0), inference('lazy_cnf_and', [status(thm)], ['5'])). 0.60/0.90 tff('32', plain, 0.60/0.90 ( '#form3'(cN, cN) | ~ cN(cS('#sk2'(cN, cN))) | '#form3'(cN, cN)), 0.60/0.90 inference('demod', [status(thm)], ['30', '31'])). 0.60/0.90 tff('33', plain, (~ cN(cS('#sk2'(cN, cN))) | '#form3'(cN, cN)), 0.60/0.90 inference('simplify', [status(thm)], ['32'])). 0.60/0.90 tff('34', plain, ( '#form3'(cN, cN) | cN(cS('#sk2'(cN, cN)))), 0.60/0.90 inference('demod', [status(thm)], ['22', '23'])). 0.60/0.90 tff('35', plain, '#form3'(cN, cN), 0.60/0.90 inference('clc', [status(thm)], ['33', '34'])). 0.60/0.90 tff('36', plain, '#form3'(cN, cN), 0.60/0.90 inference('clc', [status(thm)], ['33', '34'])). 0.60/0.90 tff('37', plain, (cEVEN('#sk1') | cODD('#sk1')), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['3'])). 0.60/0.90 tff('38', plain, ( cEVEN('#sk1') | cODD('#sk1')), 0.60/0.90 inference('lazy_cnf_or', [status(thm)], ['37'])). 0.60/0.90 tff('39', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 (~ '#form3'(X1, X2) 0.60/0.90 | ((!!(($S(($B(=>, cEVEN)), X1)))) & (!!(($S(($B(=>, cODD)), X2)))))), 0.60/0.90 define([status(thm)])). 0.60/0.90 tff('40', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 ( (!!(($S(($B(=>, cEVEN)), X1)))) | ~ '#form3'(X1, X2)), 0.60/0.90 inference('lazy_cnf_and', [status(thm)], ['39'])). 0.60/0.90 tff('41', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o, X3]: 0.60/0.90 ( (cEVEN(X3) => X1(X3)) | ~ '#form3'(X1, X2)), 0.60/0.90 inference('lazy_cnf_forall', [status(thm)], ['40'])). 0.60/0.90 tff('42', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o, X3]: 0.60/0.90 (~ cEVEN(X3) | X1(X3) | ~ '#form3'(X1, X2)), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['41'])). 0.60/0.90 tff('43', plain, 0.60/0.90 ![X0 : $i > $o, X1 : $i > $o]: 0.60/0.90 ( cODD('#sk1') | ~ '#form3'(X1, X0) | X1('#sk1')), 0.60/0.90 inference('sup-', [status(thm)], ['38', '42'])). 0.60/0.90 tff('44', plain, ( cN('#sk1') | cODD('#sk1')), 0.60/0.90 inference('sup-', [status(thm)], ['36', '43'])). 0.60/0.90 tff('45', plain, ~ cN('#sk1'), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['3'])). 0.60/0.90 tff('46', plain, cODD('#sk1'), inference('clc', [status(thm)], ['44', '45'])). 0.60/0.90 tff('47', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o]: 0.60/0.90 ( (!!(($S(($B(=>, cODD)), X2)))) | ~ '#form3'(X1, X2)), 0.60/0.90 inference('lazy_cnf_and', [status(thm)], ['39'])). 0.60/0.90 tff('48', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o, X3]: 0.60/0.90 ( (cODD(X3) => X2(X3)) | ~ '#form3'(X1, X2)), 0.60/0.90 inference('lazy_cnf_forall', [status(thm)], ['47'])). 0.60/0.90 tff('49', plain, 0.60/0.90 ![X1 : $i > $o, X2 : $i > $o, X3]: 0.60/0.90 (~ cODD(X3) | X2(X3) | ~ '#form3'(X1, X2)), 0.60/0.90 inference('lazy_cnf_imply', [status(thm)], ['48'])). 0.60/0.90 tff('50', plain, 0.60/0.90 ![X0 : $i > $o, X1 : $i > $o]: (~ '#form3'(X1, X0) | X0('#sk1')), 0.60/0.90 inference('sup-', [status(thm)], ['46', '49'])). 0.60/0.90 tff('51', plain, cN('#sk1'), inference('sup-', [status(thm)], ['35', '50'])). 0.60/0.90 tff('52', plain, $false, inference('demod', [status(thm)], ['4', '51'])). 0.60/0.90 0.60/0.90 % SZS output end Refutation 0.60/0.90 0.60/0.90 0.60/0.90 % Terminating... 1.62/0.98 % Runner terminated. 1.62/0.98 % Zipperpin 1.5 exiting 1.62/0.99 EOF