0.06/0.10 % 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.SLAWe6L12a 0.11/0.30 % Computer : n021.cluster.edu 0.11/0.30 % Model : x86_64 x86_64 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.30 % Memory : 8042.1875MB 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.30 % CPULimit : 1200 0.11/0.30 % DateTime : Tue Jul 13 16:18:26 EDT 2021 0.11/0.30 % CPUTime : 0.11/0.30 % Running portfolio for 120 s 0.11/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.30 % Number of cores: 8 0.11/0.31 % Python version: Python 3.6.8 0.11/0.31 % Running in HO mode 0.43/0.56 % Estimated wc time : 1286 0.43/0.56 % Estimated cpu time (7 cpus) : 183.71428571428572 0.43/0.62 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.46/0.63 % /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.easy.sh running for 26s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.46/0.68 % /export/starexec/sandbox2/solver/bin/lams/b.sh running for 31s 0.46/0.68 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 0.46/0.68 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 0.48/0.71 % /export/starexec/sandbox2/solver/bin/lams/sh1.sh running for 26s 0.48/0.71 % /export/starexec/sandbox2/solver/bin/lams/b.lsimp.sh running for 17s 0.48/0.72 % /export/starexec/sandbox2/solver/bin/lams/b.split.sh running for 31s 0.48/0.72 % /export/starexec/sandbox2/solver/bin/lams/s4.sh running for 15s 0.48/0.72 % Solved by lams/s6.ds.sh. 0.48/0.72 % done 0 iterations in 0.025s 0.48/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.48/0.72 % SZS output start Refutation 0.48/0.72 tff(hoasinduction_lem0_lthm, axiom, hoasinduction_lem0_lthm() = 0.48/0.72 hoasinduction_lem0). 0.48/0.72 tff(hoasinduction_lem0, axiom, hoasinduction_lem0 <=> 0.48/0.72 (![P:((subst * term * subst) > $o)]: 0.48/0.72 (?[Q:((term > $o))]: hoasinduction_p_and_p_prime(P,Q)))). 0.48/0.72 tff('0', plain, 0.48/0.72 hoasinduction_lem0 = 0.48/0.72 (![X4:((subst * term * subst) > $o)]: 0.48/0.72 (?[X6:((term > $o))]: hoasinduction_p_and_p_prime(X4,X6))), 0.48/0.72 define([status(thm)])). 0.48/0.72 tff(hoasinduction_p_and_p_prime, axiom, hoasinduction_p_and_p_prime() = 0.48/0.72 ^[P:((subst * term * subst) > $o),Q:((term > $o))]: 0.48/0.72 (![X:term]: (Q(X) <=> P(id,X,id)))). 0.48/0.72 tff('1', plain, 0.48/0.72 hoasinduction_p_and_p_prime = 0.48/0.72 (^[P:((subst * term * subst) > $o),Q:((term > $o))]: 0.48/0.72 (![X:term]: (Q(X) <=> P(id,X,id)))), 0.48/0.72 inference('simplify_rw_rule', [status(thm)], 0.48/0.72 [hoasinduction_p_and_p_prime])). 0.48/0.72 tff('2', plain, 0.48/0.72 hoasinduction_p_and_p_prime = 0.48/0.72 (^[V_1:((subst * term * subst) > $o),V_2:((term > $o))]: 0.48/0.72 (![X4:term]: (V_2(X4) <=> V_1(id,X4,id)))), 0.48/0.72 define([status(thm)])). 0.48/0.72 tff('3', plain, hoasinduction_lem0_lthm = hoasinduction_lem0, 0.48/0.72 inference('simplify_rw_rule', [status(thm)], 0.48/0.72 [hoasinduction_lem0_lthm, '0', '2'])). 0.48/0.72 tff('4', plain, hoasinduction_lem0_lthm = hoasinduction_lem0, 0.48/0.72 define([status(thm)])). 0.48/0.72 tff(thm, conjecture, (hoasinduction_lem0_lthm)). 0.48/0.72 tff(zf_stmt_0, conjecture, 0.48/0.72 (![X4:((subst * term * subst) > $o)]: 0.48/0.72 (?[X6:((term > $o))]: (![X8:term]: (X6(X8) <=> X4(id,X8,id)))))). 0.48/0.72 tff(zf_stmt_1, negated_conjecture, 0.48/0.72 (~ 0.48/0.72 (![X4:((subst * term * subst) > $o)]: 0.48/0.72 (?[X6:((term > $o))]: (![X8:term]: (X6(X8) <=> X4(id,X8,id))))))). 0.48/0.72 tff('5', plain, 0.48/0.72 ~ (!!((^[Y0 : (subst * term * subst) > $o]: 0.48/0.72 (??((^[Y1 : term > $o]: 0.48/0.72 (!!((^[Y2 : term]: (Y1(Y2) <=> Y0(id, Y2, id))))))))))), 0.48/0.72 inference('cnf', [status(esa)], [zf_stmt_1])). 0.48/0.72 tff('6', plain, 0.48/0.72 ~ (??((^[Y0 : term > $o]: 0.48/0.72 (!!((^[Y1 : term]: (Y0(Y1) <=> '#sk1'(id, Y1, id)))))))), 0.48/0.72 inference('lazy_cnf_exists', [status(thm)], ['5'])). 0.48/0.72 tff('7', plain, 0.48/0.72 ![X1 : term > $o]: 0.48/0.72 ~ (!!((^[Y0 : term]: (X1(Y0) <=> '#sk1'(id, Y0, id))))), 0.48/0.72 inference('lazy_cnf_forall', [status(thm)], ['6'])). 0.48/0.72 tff('8', plain, 0.48/0.72 ![X1 : term > $o]: ~ (X1('#sk3'(X1)) <=> '#sk1'(id, '#sk3'(X1), id)), 0.48/0.72 inference('lazy_cnf_exists', [status(thm)], ['7'])). 0.48/0.72 tff('9', plain, 0.48/0.72 ![X1 : term > $o]: X1('#sk3'(X1)) != '#sk1'(id, '#sk3'(X1), id), 0.48/0.72 inference('simplify nested equalities', [status(thm)], ['8'])). 0.48/0.72 tff('10', plain, $false, inference('eq_res', [status(thm)], ['9'])). 0.48/0.72 0.48/0.72 % SZS output end Refutation 0.48/0.72 0.48/0.72 0.48/0.72 % Terminating... 1.65/0.77 % Runner terminated. 1.65/0.78 % Zipperpin 1.5 exiting 1.65/0.78 EOF