0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CzQTFAzE9w true 0.15/0.34 % Computer : n020.cluster.edu 0.15/0.34 % Model : x86_64 x86_64 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.34 % Memory : 8042.1875MB 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.34 % CPULimit : 960 0.15/0.34 % WCLimit : 120 0.15/0.34 % DateTime : Tue Aug 9 03:23:20 EDT 2022 0.15/0.35 % CPUTime : 0.15/0.35 % Running portfolio for 960 s 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.35 % Number of cores: 8 0.15/0.35 % Python version: Python 3.6.8 0.21/0.35 % Running in HO mode 0.60/0.66 % Total configuration time : 828 0.60/0.66 % Estimated wc time : 1656 0.60/0.66 % Estimated cpu time (8 cpus) : 207.0 0.60/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.60/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.60/0.79 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.60/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.60/0.81 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.60/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.60/0.82 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.62/0.85 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.62/0.85 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 0.62/0.86 % Solved by lams/40_c.s.sh. 0.62/0.86 % done 18 iterations in 0.033s 0.62/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.62/0.86 % SZS output start Refutation 0.62/0.86 thf(mu_type, type, mu: $tType). 0.62/0.86 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.62/0.86 thf(sk__8_type, type, sk__8: $i). 0.62/0.86 thf(mdia_s4_type, type, mdia_s4: ($i > $o) > $i > $o). 0.62/0.86 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 0.62/0.86 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 0.62/0.86 thf(sk__6_type, type, sk__6: $i > mu). 0.62/0.86 thf(sk__9_type, type, sk__9: $i). 0.62/0.86 thf(mforall_ind_type, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.62/0.86 thf(rel_s4_type, type, rel_s4: $i > $i > $o). 0.62/0.86 thf(mexists_ind_type, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.62/0.86 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.62/0.86 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o). 0.62/0.86 thf(exists_in_world_type, type, exists_in_world: mu > $i > $o). 0.62/0.86 thf(f_type, type, f: mu > $i > $o). 0.62/0.86 thf(nonempty_ax, axiom, (![V:$i]: ( ?[X:mu]: ( exists_in_world @ X @ V ) ))). 0.62/0.86 thf(zip_derived_cl0, plain, 0.62/0.86 (![X0 : $i]: (exists_in_world @ (sk__6 @ X0) @ X0)), 0.62/0.86 inference('cnf', [status(esa)], [nonempty_ax])). 0.62/0.86 thf(cumulative_ax, axiom, 0.62/0.86 (![X:mu,V:$i,W:$i]: 0.62/0.86 ( ( ( rel_s4 @ V @ W ) & ( exists_in_world @ X @ V ) ) => 0.62/0.86 ( exists_in_world @ X @ W ) ))). 0.62/0.86 thf(zip_derived_cl3, plain, 0.62/0.86 (![X0 : mu, X1 : $i, X2 : $i]: 0.62/0.86 (~ (exists_in_world @ X0 @ X1) 0.62/0.86 | ~ (rel_s4 @ X1 @ X2) 0.62/0.86 | (exists_in_world @ X0 @ X2))), 0.62/0.86 inference('cnf', [status(esa)], [cumulative_ax])). 0.62/0.86 thf(zip_derived_cl25, plain, 0.62/0.86 (![X0 : $i, X1 : $i]: 0.62/0.86 ( (exists_in_world @ (sk__6 @ X0) @ X1) | ~ (rel_s4 @ X0 @ X1))), 0.62/0.86 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])). 0.62/0.86 thf(mdia_s4, axiom,(( mdia_s4 ) = 0.62/0.86 (^[Phi:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) )))). 0.62/0.86 thf(mbox_s4, axiom,(( mbox_s4 ) = 0.62/0.86 (^[Phi:( $i > $o ),W:$i]: 0.62/0.86 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) )))). 0.62/0.86 thf('0', plain, 0.62/0.86 (( mbox_s4 ) = 0.62/0.86 ( ^[Phi:( $i > $o ),W:$i]: 0.62/0.86 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) ) )), 0.62/0.86 inference('simplify_rw_rule', [status(thm)], [mbox_s4])). 0.62/0.86 thf('1', plain, 0.62/0.86 (( mbox_s4 ) = 0.62/0.86 ( ^[V_1:( $i > $o ),V_2:$i]: 0.62/0.86 ( ![X4:$i]: ( ( V_1 @ X4 ) | ( ~( rel_s4 @ V_2 @ X4 ) ) ) ) )), 0.62/0.86 define([status(thm)])). 0.62/0.86 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))). 0.62/0.86 thf('2', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )), 0.62/0.86 inference('simplify_rw_rule', [status(thm)], [mnot])). 0.62/0.86 thf('3', plain, 0.62/0.86 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 0.62/0.86 define([status(thm)])). 0.62/0.86 thf('4', plain, 0.62/0.86 (( mdia_s4 ) = 0.62/0.86 ( ^[Phi:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) )), 0.62/0.86 inference('simplify_rw_rule', [status(thm)], [mdia_s4, '1', '3'])). 0.62/0.86 thf('5', plain, 0.62/0.86 (( mdia_s4 ) = 0.62/0.86 ( ^[V_1:( $i > $o )]: ( mnot @ ( mbox_s4 @ ( mnot @ V_1 ) ) ) )), 0.62/0.86 define([status(thm)])). 0.62/0.86 thf(mvalid, axiom,(( mvalid ) = 0.62/0.86 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 0.62/0.86 thf('6', plain, 0.62/0.86 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 0.62/0.86 inference('simplify_rw_rule', [status(thm)], [mvalid])). 0.62/0.86 thf('7', plain, 0.62/0.86 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 0.62/0.86 define([status(thm)])). 0.62/0.86 thf(mexists_ind, axiom,(( mexists_ind ) = 0.62/0.86 (^[Phi:( mu > $i > $o )]: 0.62/0.86 ( mnot @ ( mforall_ind @ ( ^[X:mu]: ( mnot @ ( Phi @ X ) ) ) ) )))). 0.62/0.86 thf(mforall_ind, axiom,(( mforall_ind ) = 0.62/0.86 (^[Phi:( mu > $i > $o ),W:$i]: 0.62/0.86 ( ![X:mu]: ( ( exists_in_world @ X @ W ) => ( Phi @ X @ W ) ) )))). 0.62/0.86 thf('8', plain, 0.62/0.86 (( mforall_ind ) = 0.62/0.86 ( ^[Phi:( mu > $i > $o ),W:$i]: 0.62/0.86 ( ![X:mu]: ( ( exists_in_world @ X @ W ) => ( Phi @ X @ W ) ) ) )), 0.62/0.86 inference('simplify_rw_rule', [status(thm)], [mforall_ind])). 0.62/0.86 thf('9', plain, 0.62/0.86 (( mforall_ind ) = 0.62/0.86 ( ^[V_1:( mu > $i > $o ),V_2:$i]: 0.62/0.86 ( ![X4:mu]: ( ( exists_in_world @ X4 @ V_2 ) => ( V_1 @ X4 @ V_2 ) ) ) )), 0.62/0.86 define([status(thm)])). 0.62/0.86 thf('10', plain, 0.62/0.86 (( mexists_ind ) = 0.62/0.86 ( ^[Phi:( mu > $i > $o )]: 0.62/0.86 ( mnot @ ( mforall_ind @ ( ^[X:mu]: ( mnot @ ( Phi @ X ) ) ) ) ) )), 0.62/0.86 inference('simplify_rw_rule', [status(thm)], [mexists_ind, '9', '3'])). 0.62/0.86 thf('11', plain, 0.62/0.86 (( mexists_ind ) = 0.62/0.86 ( ^[V_1:( mu > $i > $o )]: 0.62/0.86 ( mnot @ ( mforall_ind @ ( ^[V_2:mu]: ( mnot @ ( V_1 @ V_2 ) ) ) ) ) )), 0.62/0.86 define([status(thm)])). 0.62/0.86 thf(mimplies, axiom,(( mimplies ) = 0.62/0.86 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))). 0.62/0.86 thf(mor, axiom,(( mor ) = 0.62/0.86 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))). 0.62/0.86 thf('12', plain, 0.62/0.86 (( mor ) = 0.62/0.86 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )), 0.62/0.86 inference('simplify_rw_rule', [status(thm)], [mor])). 0.62/0.86 thf('13', plain, 0.62/0.86 (( mor ) = 0.62/0.86 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 0.62/0.86 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 0.62/0.86 define([status(thm)])). 0.62/0.86 thf('14', plain, 0.62/0.86 (( mimplies ) = 0.62/0.86 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )), 0.62/0.86 inference('simplify_rw_rule', [status(thm)], [mimplies, '13', '3'])). 0.62/0.86 thf('15', plain, 0.62/0.86 (( mimplies ) = 0.62/0.86 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 0.62/0.86 define([status(thm)])). 0.62/0.86 thf(con, conjecture, 0.62/0.86 (mvalid @ 0.62/0.86 ( mimplies @ 0.62/0.86 ( mdia_s4 @ ( mforall_ind @ ( ^[X:mu]: ( f @ X ) ) ) ) @ 0.62/0.86 ( mexists_ind @ ( ^[X:mu]: ( mdia_s4 @ ( f @ X ) ) ) ) ))). 0.62/0.86 thf(zf_stmt_0, conjecture, 0.62/0.86 (![X4:$i]: 0.62/0.86 ( ( ![X6:$i]: 0.62/0.86 ( ( ~( ![X8:mu]: ( ( exists_in_world @ X8 @ X6 ) => ( f @ X8 @ X6 ) ) ) ) | 0.62/0.86 ( ~( rel_s4 @ X4 @ X6 ) ) ) ) | 0.62/0.86 ( ~( ![X10:mu]: 0.62/0.86 ( ( exists_in_world @ X10 @ X4 ) => 0.62/0.86 ( ![X12:$i]: 0.62/0.86 ( ( ~( f @ X10 @ X12 ) ) | ( ~( rel_s4 @ X4 @ X12 ) ) ) ) ) ) ) ))). 0.62/0.86 thf(zf_stmt_1, negated_conjecture, 0.62/0.86 (~( ![X4:$i]: 0.62/0.86 ( ( ![X6:$i]: 0.62/0.86 ( ( ~( ![X8:mu]: 0.62/0.86 ( ( exists_in_world @ X8 @ X6 ) => ( f @ X8 @ X6 ) ) ) ) | 0.62/0.86 ( ~( rel_s4 @ X4 @ X6 ) ) ) ) | 0.62/0.86 ( ~( ![X10:mu]: 0.62/0.86 ( ( exists_in_world @ X10 @ X4 ) => 0.62/0.86 ( ![X12:$i]: 0.62/0.86 ( ( ~( f @ X10 @ X12 ) ) | ( ~( rel_s4 @ X4 @ X12 ) ) ) ) ) ) ) ) )), 0.62/0.86 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.62/0.86 thf(zip_derived_cl5, plain, 0.62/0.86 (![X2 : mu]: ( (f @ X2 @ sk__9) | ~ (exists_in_world @ X2 @ sk__9))), 0.62/0.86 inference('cnf', [status(esa)], [zf_stmt_1])). 0.62/0.86 thf(zip_derived_cl0, plain, 0.62/0.86 (![X0 : $i]: (exists_in_world @ (sk__6 @ X0) @ X0)), 0.62/0.86 inference('cnf', [status(esa)], [nonempty_ax])). 0.62/0.86 thf(zip_derived_cl6, plain, ( (rel_s4 @ sk__8 @ sk__9)), 0.62/0.86 inference('cnf', [status(esa)], [zf_stmt_1])). 0.62/0.86 thf(zip_derived_cl4, plain, 0.62/0.86 (![X0 : $i, X1 : mu]: 0.62/0.86 (~ (rel_s4 @ sk__8 @ X0) 0.62/0.86 | ~ (f @ X1 @ X0) 0.62/0.86 | ~ (exists_in_world @ X1 @ sk__8))), 0.62/0.86 inference('cnf', [status(esa)], [zf_stmt_1])). 0.62/0.86 thf(zip_derived_cl21, plain, 0.62/0.86 (![X0 : mu]: (~ (exists_in_world @ X0 @ sk__8) | ~ (f @ X0 @ sk__9))), 0.62/0.86 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl4])). 0.62/0.86 thf(zip_derived_cl33, plain, (~ (f @ (sk__6 @ sk__8) @ sk__9)), 0.62/0.86 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl21])). 0.62/0.86 thf(zip_derived_cl36, plain, (~ (exists_in_world @ (sk__6 @ sk__8) @ sk__9)), 0.62/0.86 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl33])). 0.62/0.86 thf(zip_derived_cl42, plain, (~ (rel_s4 @ sk__8 @ sk__9)), 0.62/0.86 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl36])). 0.62/0.86 thf(zip_derived_cl6, plain, ( (rel_s4 @ sk__8 @ sk__9)), 0.62/0.86 inference('cnf', [status(esa)], [zf_stmt_1])). 0.62/0.86 thf(zip_derived_cl44, plain, ($false), 0.62/0.86 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl6])). 0.62/0.86 0.62/0.86 % SZS output end Refutation 0.62/0.86 0.62/0.86 0.62/0.86 % Terminating... 0.73/0.98 % Runner terminated. 0.73/1.00 % Zipperpin 1.5 exiting 0.73/1.00 EOF