0.07/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.10 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.FLeyPK509H 0.10/0.30 % Computer : n008.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 1200 0.10/0.30 % DateTime : Tue Jul 13 14:27:29 EDT 2021 0.10/0.30 % CPUTime : 0.10/0.30 % Running portfolio for 120 s 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.30 % Number of cores: 8 0.10/0.31 % Python version: Python 3.6.8 0.10/0.31 % Running in HO mode 0.42/0.56 % Estimated wc time : 1286 0.42/0.56 % Estimated cpu time (7 cpus) : 183.71428571428572 0.46/0.66 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 0.46/0.80 % Solved by lams/old_b3.avatar.sh. 0.46/0.80 % done 20 iterations in 0.103s 0.46/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.46/0.80 % SZS output start Refutation 0.46/0.80 tff(cNAT_def, axiom, cNAT() = 0.46/0.80 ^[Xn:((($i > $o) > $o))]: 0.46/0.80 (![Xp:(((($i > $o) > $o) > $o))]: 0.46/0.80 ((Xp(cZERO) & (![Xx:((($i > $o) > $o))]: (Xp(Xx) => Xp(cSUCC(Xx))))) => 0.46/0.80 Xp(Xn)))). 0.46/0.80 tff(cSUCC_def, axiom, cSUCC() = 0.46/0.80 ^[Xn:((($i > $o) > $o)),Xp:(($i > $o))]: 0.46/0.80 (?[Xx]: (Xn(^[Xt]: ((Xt != Xx) & Xp(Xt))) & Xp(Xx)))). 0.46/0.80 tff('0', plain, 0.46/0.80 cSUCC = 0.46/0.80 (^[Xn:((($i > $o) > $o)),Xp:(($i > $o))]: 0.46/0.80 (?[Xx]: (Xn(^[Xt]: ((Xt != Xx) & Xp(Xt))) & Xp(Xx)))), 0.46/0.80 inference('simplify_rw_rule', [status(thm)], [cSUCC_def])). 0.46/0.80 tff('1', plain, 0.46/0.80 cSUCC = 0.46/0.80 (^[V_1:((($i > $o) > $o)),V_2:(($i > $o))]: 0.46/0.80 (?[X4]: (V_1(^[V_3]: ((V_3 != X4) & V_2(V_3))) & V_2(X4)))), 0.46/0.80 define([status(thm)])). 0.46/0.80 tff(cZERO_def, axiom, cZERO() = ^[Xp:(($i > $o))]: (~(?[Xx]: Xp(Xx)))). 0.46/0.80 tff('2', plain, cZERO = (^[Xp:(($i > $o))]: (~(?[Xx]: Xp(Xx)))), 0.46/0.80 inference('simplify_rw_rule', [status(thm)], [cZERO_def])). 0.46/0.80 tff('3', plain, cZERO = (^[V_1:(($i > $o))]: (~(?[X4]: V_1(X4)))), 0.46/0.80 define([status(thm)])). 0.46/0.80 tff('4', plain, 0.46/0.80 cNAT = 0.46/0.80 (^[Xn:((($i > $o) > $o))]: 0.46/0.80 (![Xp:(((($i > $o) > $o) > $o))]: 0.46/0.80 ((Xp(cZERO) & (![Xx:((($i > $o) > $o))]: (Xp(Xx) => Xp(cSUCC(Xx))))) => 0.46/0.80 Xp(Xn)))), 0.46/0.80 inference('simplify_rw_rule', [status(thm)], [cNAT_def, '1', '3'])). 0.46/0.80 tff('5', plain, 0.46/0.80 cNAT = 0.46/0.80 (^[V_1:((($i > $o) > $o))]: 0.46/0.80 (![X4:(((($i > $o) > $o) > $o))]: 0.46/0.80 ((X4(cZERO) & (![X6:((($i > $o) > $o))]: (X4(X6) => X4(cSUCC(X6))))) => 0.46/0.80 X4(V_1)))), 0.46/0.80 define([status(thm)])). 0.46/0.80 tff(cINDUCTION, conjecture, 0.46/0.80 (![P:(((($i > $o) > $o) > $o))]: 0.46/0.80 ((P(cZERO) & (![X:((($i > $o) > $o))]: (P(X) => P(cSUCC(X))))) => 0.46/0.80 (![M:((($i > $o) > $o))]: (cNAT(M) => P(M)))))). 0.46/0.80 tff(zf_stmt_0, conjecture, 0.46/0.80 (![X4:(((($i > $o) > $o) > $o))]: 0.46/0.80 (((![X8:((($i > $o) > $o))]: 0.46/0.80 (X4(X8) => 0.46/0.80 X4(^[V_2:(($i > $o))]: 0.46/0.80 (?[X10]: (V_2(X10) & X8(^[V_3]: (V_2(V_3) & (V_3 != X10)))))))) & 0.46/0.80 X4(^[V_1:(($i > $o))]: (~(?[X6]: V_1(X6))))) => 0.46/0.80 (![X12:((($i > $o) > $o))]: 0.46/0.80 ((![X14:(((($i > $o) > $o) > $o))]: 0.46/0.80 (((![X18:((($i > $o) > $o))]: 0.46/0.80 (X14(X18) => 0.46/0.80 X14(^[V_5:(($i > $o))]: 0.46/0.80 (?[X20]: 0.46/0.80 (V_5(X20) & 0.46/0.80 X18(^[V_6]: (V_5(V_6) & (V_6 != X20)))))))) & 0.46/0.80 X14(^[V_4:(($i > $o))]: (~(?[X16]: V_4(X16))))) => 0.46/0.80 X14(X12))) => 0.46/0.80 X4(X12)))))). 0.46/0.80 tff(zf_stmt_1, negated_conjecture, 0.46/0.80 (~ 0.46/0.80 (![X4:(((($i > $o) > $o) > $o))]: 0.46/0.80 (((![X8:((($i > $o) > $o))]: 0.46/0.80 (X4(X8) => 0.46/0.80 X4(^[V_2:(($i > $o))]: 0.46/0.80 (?[X10]: (V_2(X10) & X8(^[V_3]: (V_2(V_3) & (V_3 != X10)))))))) & 0.46/0.80 X4(^[V_1:(($i > $o))]: (~(?[X6]: V_1(X6))))) => 0.46/0.80 (![X12:((($i > $o) > $o))]: 0.46/0.80 ((![X14:(((($i > $o) > $o) > $o))]: 0.46/0.80 (((![X18:((($i > $o) > $o))]: 0.46/0.80 (X14(X18) => 0.46/0.80 X14(^[V_5:(($i > $o))]: 0.46/0.80 (?[X20]: 0.46/0.80 (V_5(X20) & 0.46/0.80 X18(^[V_6]: (V_5(V_6) & (V_6 != X20)))))))) & 0.46/0.80 X14(^[V_4:(($i > $o))]: (~(?[X16]: V_4(X16))))) => 0.46/0.80 X14(X12))) => 0.46/0.80 X4(X12))))))). 0.46/0.80 tff('6', plain, 0.46/0.80 ~ (!!((^[Y0 : (($i > $o) > $o) > $o]: 0.46/0.80 (((!!((^[Y1 : ($i > $o) > $o]: 0.46/0.80 (Y0(Y1) => 0.46/0.80 Y0( 0.46/0.80 (^[Y2 : $i > $o]: 0.46/0.80 (??((^[Y3 : $i]: 0.46/0.80 (Y2(Y3) & 0.46/0.80 Y1((^[Y4 : $i]: (Y2(Y4) & (Y4 != Y3)))))))))))))) & 0.46/0.80 Y0((^[Y1 : $i > $o]: (~((??((^[Y2 : $i]: Y1(Y2))))))))) => 0.46/0.80 (!!((^[Y1 : ($i > $o) > $o]: 0.46/0.80 ((!!((^[Y2 : (($i > $o) > $o) > $o]: 0.46/0.80 (((!!((^[Y3 : ($i > $o) > $o]: 0.46/0.80 (Y2(Y3) => 0.46/0.80 Y2( 0.46/0.80 (^[Y4 : $i > $o]: 0.46/0.80 (??((^[Y5 : $i]: 0.46/0.80 (Y4(Y5) & 0.46/0.80 Y3( 0.46/0.80 (^[Y6 : $i]: 0.46/0.80 (Y4(Y6) & (Y6 != Y5)))))))))))))) & 0.46/0.80 Y2( 0.46/0.80 (^[Y3 : $i > $o]: 0.46/0.80 (~((??((^[Y4 : $i]: Y3(Y4))))))))) => 0.46/0.80 Y2(Y1))))) => 0.46/0.80 Y0(Y1))))))))), 0.46/0.80 inference('cnf', [status(esa)], [zf_stmt_1])). 0.46/0.80 tff('7', plain, 0.46/0.80 ~ (!!((^[Y0 : (($i > $o) > $o) > $o]: 0.46/0.80 (((!!((^[Y1 : ($i > $o) > $o]: 0.46/0.80 (Y0(Y1) => 0.46/0.80 Y0( 0.46/0.80 (^[Y2 : $i > $o]: 0.46/0.80 (??((^[Y3 : $i]: 0.46/0.80 (Y2(Y3) & 0.46/0.80 Y1((^[Y4 : $i]: (Y2(Y4) & (Y4 != Y3)))))))))))))) & 0.46/0.80 Y0((^[Y1 : $i > $o]: (~((??(Y1))))))) => 0.46/0.80 (!!((^[Y1 : ($i > $o) > $o]: 0.46/0.80 ((!!((^[Y2 : (($i > $o) > $o) > $o]: 0.46/0.80 (((!!((^[Y3 : ($i > $o) > $o]: 0.46/0.80 (Y2(Y3) => 0.46/0.80 Y2( 0.46/0.80 (^[Y4 : $i > $o]: 0.46/0.80 (??((^[Y5 : $i]: 0.46/0.80 (Y4(Y5) & 0.46/0.80 Y3( 0.46/0.80 (^[Y6 : $i]: 0.46/0.80 (Y4(Y6) & (Y6 != Y5)))))))))))))) & 0.46/0.80 Y2((^[Y3 : $i > $o]: (~((??(Y3))))))) => 0.46/0.80 Y2(Y1))))) => 0.46/0.80 Y0(Y1))))))))), 0.46/0.80 inference('ho_norm', [status(thm)], ['6'])). 0.46/0.80 tff('8', plain, 0.46/0.80 ~ (((!!((^[Y0 : ($i > $o) > $o]: 0.46/0.80 ('#sk1'(Y0) => 0.46/0.80 '#sk1'( 0.46/0.80 (^[Y1 : $i > $o]: 0.46/0.80 (??((^[Y2 : $i]: 0.46/0.80 (Y1(Y2) & Y0((^[Y3 : $i]: (Y1(Y3) & (Y3 != Y2)))))))))))))) & 0.46/0.80 '#sk1'((^[Y0 : $i > $o]: (~((??(Y0))))))) => 0.46/0.80 (!!((^[Y0 : ($i > $o) > $o]: 0.46/0.80 ((!!((^[Y1 : (($i > $o) > $o) > $o]: 0.46/0.80 (((!!((^[Y2 : ($i > $o) > $o]: 0.46/0.80 (Y1(Y2) => 0.46/0.80 Y1( 0.46/0.80 (^[Y3 : $i > $o]: 0.46/0.80 (??((^[Y4 : $i]: 0.46/0.80 (Y3(Y4) & 0.46/0.80 Y2( 0.46/0.80 (^[Y5 : $i]: 0.46/0.80 (Y3(Y5) & (Y5 != Y4)))))))))))))) & 0.46/0.80 Y1((^[Y2 : $i > $o]: (~((??(Y2))))))) => 0.46/0.80 Y1(Y0))))) => 0.46/0.80 '#sk1'(Y0)))))), 0.46/0.80 inference('lazy_cnf_exists', [status(thm)], ['7'])). 0.46/0.80 tff('9', plain, 0.46/0.80 ~ (!!((^[Y0 : ($i > $o) > $o]: 0.46/0.80 ((!!((^[Y1 : (($i > $o) > $o) > $o]: 0.46/0.80 (((!!((^[Y2 : ($i > $o) > $o]: 0.46/0.80 (Y1(Y2) => 0.46/0.80 Y1( 0.46/0.80 (^[Y3 : $i > $o]: 0.46/0.80 (??((^[Y4 : $i]: 0.46/0.80 (Y3(Y4) & 0.46/0.80 Y2( 0.46/0.80 (^[Y5 : $i]: 0.46/0.80 (Y3(Y5) & (Y5 != Y4)))))))))))))) & 0.46/0.80 Y1((^[Y2 : $i > $o]: (~((??(Y2))))))) => 0.46/0.80 Y1(Y0))))) => 0.46/0.80 '#sk1'(Y0))))), 0.46/0.80 inference('lazy_cnf_imply', [status(thm)], ['8'])). 0.46/0.80 tff('10', plain, 0.46/0.80 ~ ((!!((^[Y0 : (($i > $o) > $o) > $o]: 0.46/0.80 (((!!((^[Y1 : ($i > $o) > $o]: 0.46/0.80 (Y0(Y1) => 0.46/0.80 Y0( 0.46/0.80 (^[Y2 : $i > $o]: 0.46/0.80 (??((^[Y3 : $i]: 0.46/0.80 (Y2(Y3) & 0.46/0.80 Y1((^[Y4 : $i]: (Y2(Y4) & (Y4 != Y3)))))))))))))) & 0.46/0.80 Y0((^[Y1 : $i > $o]: (~((??(Y1))))))) => 0.46/0.80 Y0('#sk2'))))) => 0.46/0.80 '#sk1'('#sk2')), 0.46/0.80 inference('lazy_cnf_exists', [status(thm)], ['9'])). 0.46/0.80 tff('11', plain, 0.46/0.80 ((!!((^[Y0 : ($i > $o) > $o]: 0.46/0.80 ('#sk1'(Y0) => 0.46/0.80 '#sk1'( 0.46/0.80 (^[Y1 : $i > $o]: 0.46/0.80 (??((^[Y2 : $i]: 0.46/0.80 (Y1(Y2) & Y0((^[Y3 : $i]: (Y1(Y3) & (Y3 != Y2)))))))))))))) & 0.46/0.80 '#sk1'((^[Y0 : $i > $o]: (~((??(Y0))))))), 0.46/0.80 inference('lazy_cnf_imply', [status(thm)], ['8'])). 0.46/0.80 tff('12', plain, 0.46/0.80 ((!!((^[Y0 : ($i > $o) > $o]: 0.46/0.80 ('#sk1'(Y0) => 0.46/0.80 '#sk1'( 0.46/0.80 (^[Y1 : $i > $o]: 0.46/0.80 (??((^[Y2 : $i]: 0.46/0.80 (Y1(Y2) & Y0((^[Y3 : $i]: (Y1(Y3) & (Y3 != Y2)))))))))))))) & 0.46/0.80 '#sk1'((^[Y0 : $i > $o]: (~((??(Y0))))))), 0.46/0.80 inference('lazy_cnf_imply', [status(thm)], ['8'])). 0.46/0.80 tff('13', plain, '#sk1'((^[Y0 : $i > $o]: (~((??(Y0)))))), 0.46/0.80 inference('lazy_cnf_and', [status(thm)], ['12'])). 0.46/0.80 tff('14', plain, 0.46/0.80 ((!!((^[Y0 : ($i > $o) > $o]: 0.46/0.80 ('#sk1'(Y0) => 0.46/0.80 '#sk1'( 0.46/0.80 (^[Y1 : $i > $o]: 0.46/0.80 (??((^[Y2 : $i]: 0.46/0.80 (Y1(Y2) & Y0((^[Y3 : $i]: (Y1(Y3) & (Y3 != Y2)))))))))))))) & 0.46/0.80 $true), 0.46/0.80 inference('demod', [status(thm)], ['11', '13'])). 0.46/0.80 tff('15', plain, 0.46/0.80 (!!((^[Y0 : ($i > $o) > $o]: 0.46/0.80 ('#sk1'(Y0) => 0.46/0.80 '#sk1'( 0.46/0.80 (^[Y1 : $i > $o]: 0.46/0.80 (??((^[Y2 : $i]: 0.46/0.80 (Y1(Y2) & Y0((^[Y3 : $i]: (Y1(Y3) & (Y3 != Y2)))))))))))))), 0.46/0.80 inference('simplify boolean subterms', [status(thm)], ['14'])). 0.46/0.80 tff('16', plain, 0.46/0.80 ~ ((!!((^[Y0 : (($i > $o) > $o) > $o]: 0.46/0.80 (((!!((^[Y1 : ($i > $o) > $o]: 0.46/0.80 (Y0(Y1) => 0.46/0.80 Y0( 0.46/0.80 (^[Y2 : $i > $o]: 0.46/0.80 (??((^[Y3 : $i]: 0.46/0.80 (Y2(Y3) & 0.46/0.80 Y1((^[Y4 : $i]: (Y2(Y4) & (Y4 != Y3)))))))))))))) & 0.46/0.80 Y0((^[Y1 : $i > $o]: (~((??(Y1))))))) => 0.46/0.80 Y0('#sk2'))))) => 0.46/0.80 '#sk1'('#sk2')), 0.46/0.80 inference('lazy_cnf_exists', [status(thm)], ['9'])). 0.46/0.80 tff('17', plain, 0.46/0.80 (!!((^[Y0 : (($i > $o) > $o) > $o]: 0.46/0.80 (((!!((^[Y1 : ($i > $o) > $o]: 0.46/0.80 (Y0(Y1) => 0.46/0.80 Y0( 0.46/0.80 (^[Y2 : $i > $o]: 0.46/0.80 (??((^[Y3 : $i]: 0.46/0.80 (Y2(Y3) & 0.46/0.80 Y1((^[Y4 : $i]: (Y2(Y4) & (Y4 != Y3)))))))))))))) & 0.46/0.80 Y0((^[Y1 : $i > $o]: (~((??(Y1))))))) => 0.46/0.80 Y0('#sk2'))))), 0.46/0.80 inference('lazy_cnf_imply', [status(thm)], ['16'])). 0.46/0.80 tff('18', plain, 0.46/0.80 ![X1 : (($i > $o) > $o) > $o]: 0.46/0.80 (((!!((^[Y0 : ($i > $o) > $o]: 0.46/0.80 (X1(Y0) => 0.46/0.80 X1( 0.46/0.80 (^[Y1 : $i > $o]: 0.46/0.80 (??((^[Y2 : $i]: 0.46/0.80 (Y1(Y2) & 0.46/0.80 Y0((^[Y3 : $i]: (Y1(Y3) & (Y3 != Y2)))))))))))))) & 0.46/0.80 X1((^[Y0 : $i > $o]: (~((??(Y0))))))) => 0.46/0.80 X1('#sk2')), 0.46/0.80 inference('lazy_cnf_forall', [status(thm)], ['17'])). 0.46/0.80 tff('19', plain, 0.46/0.80 (($true & 0.46/0.80 (^[Y0 : ($i > $o) > $o]: '#sk1'(Y0))((^[Y0 : $i > $o]: (~((??(Y0))))))) => 0.46/0.80 (^[Y0 : ($i > $o) > $o]: '#sk1'(Y0))('#sk2')), 0.46/0.80 inference('sup+', [status(thm)], ['15', '18'])). 0.46/0.80 tff('20', plain, 0.46/0.80 (($true & '#sk1'((^[Y0 : $i > $o]: (~((??(Y0))))))) => '#sk1'('#sk2')), 0.46/0.80 inference('ho_norm', [status(thm)], ['19'])). 0.46/0.80 tff('21', plain, '#sk1'((^[Y0 : $i > $o]: (~((??(Y0)))))), 0.46/0.80 inference('lazy_cnf_and', [status(thm)], ['12'])). 0.46/0.80 tff('22', plain, (($true & $true) => '#sk1'('#sk2')), 0.46/0.80 inference('demod', [status(thm)], ['20', '21'])). 0.46/0.80 tff('23', plain, '#sk1'('#sk2'), 0.46/0.80 inference('simplify boolean subterms', [status(thm)], ['22'])). 0.46/0.80 tff('24', plain, 0.46/0.80 ~ ((!!((^[Y0 : (($i > $o) > $o) > $o]: 0.46/0.80 (((!!((^[Y1 : ($i > $o) > $o]: 0.46/0.80 (Y0(Y1) => 0.46/0.80 Y0( 0.46/0.80 (^[Y2 : $i > $o]: 0.46/0.80 (??((^[Y3 : $i]: 0.46/0.80 (Y2(Y3) & 0.46/0.80 Y1((^[Y4 : $i]: (Y2(Y4) & (Y4 != Y3)))))))))))))) & 0.46/0.80 Y0((^[Y1 : $i > $o]: (~((??(Y1))))))) => 0.46/0.80 Y0('#sk2'))))) => 0.46/0.80 $true), 0.46/0.80 inference('demod', [status(thm)], ['10', '23'])). 0.46/0.80 tff('25', plain, $false, 0.46/0.80 inference('simplify boolean subterms', [status(thm)], ['24'])). 0.46/0.80 0.46/0.80 % SZS output end Refutation 0.46/0.80 0.46/0.80 0.46/0.80 % Terminating... 1.50/0.89 % Runner terminated. 1.50/0.89 % Zipperpin 1.5 exiting 1.50/0.89 EOF