0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W8ef8vdq2y true 0.14/0.34 % Computer : n016.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Tue Aug 9 03:34:42 EDT 2022 0.14/0.34 % CPUTime : 0.14/0.34 % Running portfolio for 960 s 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.34 % Number of cores: 8 0.14/0.34 % Python version: Python 3.6.8 0.14/0.35 % Running in HO mode 0.55/0.66 % Total configuration time : 828 0.55/0.66 % Estimated wc time : 1656 0.55/0.66 % Estimated cpu time (8 cpus) : 207.0 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.55/0.79 % Solved by lams/40_c.s.sh. 0.55/0.79 % done 19 iterations in 0.025s 0.55/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.55/0.79 % SZS output start Refutation 0.55/0.79 thf(mu_type, type, mu: $tType). 0.55/0.79 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 0.55/0.79 thf(mexists_ind_type, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.55/0.79 thf(big_p_type, type, big_p: mu > $i > $o). 0.55/0.79 thf(sk__10_type, type, sk__10: mu). 0.55/0.79 thf(rel_s4_type, type, rel_s4: $i > $i > $o). 0.55/0.79 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 0.55/0.79 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.55/0.79 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.55/0.79 thf(sk__11_type, type, sk__11: mu > $i). 0.55/0.79 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o). 0.55/0.79 thf(exists_in_world_type, type, exists_in_world: mu > $i > $o). 0.55/0.79 thf(mforall_ind_type, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.55/0.79 thf(sk__12_type, type, sk__12: mu > $i). 0.55/0.79 thf(sk__9_type, type, sk__9: $i). 0.55/0.79 thf(mbox_s4, axiom,(( mbox_s4 ) = 0.55/0.79 (^[Phi:( $i > $o ),W:$i]: 0.55/0.79 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) )))). 0.55/0.79 thf('0', plain, 0.55/0.79 (( mbox_s4 ) = 0.55/0.79 ( ^[Phi:( $i > $o ),W:$i]: 0.55/0.79 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) ) )), 0.55/0.79 inference('simplify_rw_rule', [status(thm)], [mbox_s4])). 0.55/0.79 thf('1', plain, 0.55/0.79 (( mbox_s4 ) = 0.55/0.79 ( ^[V_1:( $i > $o ),V_2:$i]: 0.55/0.79 ( ![X4:$i]: ( ( V_1 @ X4 ) | ( ~( rel_s4 @ V_2 @ X4 ) ) ) ) )), 0.55/0.79 define([status(thm)])). 0.55/0.79 thf(mvalid, axiom,(( mvalid ) = 0.55/0.79 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 0.55/0.79 thf('2', plain, 0.55/0.79 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 0.55/0.79 inference('simplify_rw_rule', [status(thm)], [mvalid])). 0.55/0.79 thf('3', plain, 0.55/0.79 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 0.55/0.79 define([status(thm)])). 0.55/0.79 thf(mexists_ind, axiom,(( mexists_ind ) = 0.55/0.79 (^[Phi:( mu > $i > $o )]: 0.55/0.79 ( mnot @ ( mforall_ind @ ( ^[X:mu]: ( mnot @ ( Phi @ X ) ) ) ) )))). 0.55/0.79 thf(mforall_ind, axiom,(( mforall_ind ) = 0.55/0.79 (^[Phi:( mu > $i > $o ),W:$i]: 0.55/0.79 ( ![X:mu]: ( ( exists_in_world @ X @ W ) => ( Phi @ X @ W ) ) )))). 0.55/0.79 thf('4', plain, 0.55/0.79 (( mforall_ind ) = 0.55/0.79 ( ^[Phi:( mu > $i > $o ),W:$i]: 0.55/0.79 ( ![X:mu]: ( ( exists_in_world @ X @ W ) => ( Phi @ X @ W ) ) ) )), 0.55/0.79 inference('simplify_rw_rule', [status(thm)], [mforall_ind])). 0.55/0.79 thf('5', plain, 0.55/0.79 (( mforall_ind ) = 0.55/0.79 ( ^[V_1:( mu > $i > $o ),V_2:$i]: 0.55/0.79 ( ![X4:mu]: ( ( exists_in_world @ X4 @ V_2 ) => ( V_1 @ X4 @ V_2 ) ) ) )), 0.55/0.79 define([status(thm)])). 0.55/0.79 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))). 0.55/0.79 thf('6', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )), 0.55/0.79 inference('simplify_rw_rule', [status(thm)], [mnot])). 0.55/0.79 thf('7', plain, 0.55/0.79 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 0.55/0.79 define([status(thm)])). 0.55/0.79 thf('8', plain, 0.55/0.79 (( mexists_ind ) = 0.55/0.79 ( ^[Phi:( mu > $i > $o )]: 0.55/0.79 ( mnot @ ( mforall_ind @ ( ^[X:mu]: ( mnot @ ( Phi @ X ) ) ) ) ) )), 0.55/0.79 inference('simplify_rw_rule', [status(thm)], [mexists_ind, '5', '7'])). 0.55/0.79 thf('9', plain, 0.55/0.79 (( mexists_ind ) = 0.55/0.79 ( ^[V_1:( mu > $i > $o )]: 0.55/0.79 ( mnot @ ( mforall_ind @ ( ^[V_2:mu]: ( mnot @ ( V_1 @ V_2 ) ) ) ) ) )), 0.55/0.79 define([status(thm)])). 0.55/0.79 thf(mimplies, axiom,(( mimplies ) = 0.55/0.79 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))). 0.55/0.79 thf(mor, axiom,(( mor ) = 0.55/0.79 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))). 0.55/0.79 thf('10', plain, 0.55/0.79 (( mor ) = 0.55/0.79 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )), 0.55/0.79 inference('simplify_rw_rule', [status(thm)], [mor])). 0.55/0.79 thf('11', plain, 0.55/0.79 (( mor ) = 0.55/0.79 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 0.55/0.79 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 0.55/0.79 define([status(thm)])). 0.55/0.79 thf('12', plain, 0.55/0.79 (( mimplies ) = 0.55/0.79 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )), 0.55/0.79 inference('simplify_rw_rule', [status(thm)], [mimplies, '11', '7'])). 0.55/0.79 thf('13', plain, 0.55/0.79 (( mimplies ) = 0.55/0.79 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 0.55/0.79 define([status(thm)])). 0.55/0.79 thf(x2108, conjecture, 0.55/0.79 (mvalid @ 0.55/0.79 ( mbox_s4 @ 0.55/0.79 ( mforall_ind @ 0.55/0.79 ( ^[X:mu]: 0.55/0.79 ( mexists_ind @ 0.55/0.79 ( ^[Y:mu]: 0.55/0.79 ( mbox_s4 @ 0.55/0.79 ( mimplies @ 0.55/0.79 ( mbox_s4 @ ( big_p @ X ) ) @ ( mbox_s4 @ ( big_p @ Y ) ) ) ) ) ) ) ) ))). 0.55/0.79 thf(zf_stmt_0, conjecture, 0.55/0.79 (![X4:$i,X6:$i]: 0.55/0.79 ( ( ![X8:mu]: 0.55/0.79 ( ( exists_in_world @ X8 @ X6 ) => 0.55/0.79 ( ~( ![X10:mu]: 0.55/0.79 ( ( exists_in_world @ X10 @ X6 ) => 0.55/0.79 ( ~( ![X12:$i]: 0.55/0.79 ( ( ~( ![X14:$i]: 0.55/0.79 ( ( big_p @ X8 @ X14 ) | 0.55/0.79 ( ~( rel_s4 @ X12 @ X14 ) ) ) ) ) | 0.55/0.79 ( ![X16:$i]: 0.55/0.79 ( ( big_p @ X10 @ X16 ) | 0.55/0.79 ( ~( rel_s4 @ X12 @ X16 ) ) ) ) | 0.55/0.79 ( ~( rel_s4 @ X6 @ X12 ) ) ) ) ) ) ) ) ) ) | 0.55/0.79 ( ~( rel_s4 @ X4 @ X6 ) ) ))). 0.55/0.79 thf(zf_stmt_1, negated_conjecture, 0.55/0.79 (~( ![X4:$i,X6:$i]: 0.55/0.79 ( ( ![X8:mu]: 0.55/0.79 ( ( exists_in_world @ X8 @ X6 ) => 0.55/0.79 ( ~( ![X10:mu]: 0.55/0.79 ( ( exists_in_world @ X10 @ X6 ) => 0.55/0.79 ( ~( ![X12:$i]: 0.55/0.79 ( ( ~( ![X14:$i]: 0.55/0.79 ( ( big_p @ X8 @ X14 ) | 0.55/0.79 ( ~( rel_s4 @ X12 @ X14 ) ) ) ) ) | 0.55/0.79 ( ![X16:$i]: 0.55/0.79 ( ( big_p @ X10 @ X16 ) | 0.55/0.79 ( ~( rel_s4 @ X12 @ X16 ) ) ) ) | 0.55/0.79 ( ~( rel_s4 @ X6 @ X12 ) ) ) ) ) ) ) ) ) ) | 0.55/0.79 ( ~( rel_s4 @ X4 @ X6 ) ) ) )), 0.55/0.79 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.55/0.79 thf(zip_derived_cl6, plain, 0.55/0.79 (![X0 : mu]: 0.55/0.79 ( (rel_s4 @ (sk__11 @ X0) @ (sk__12 @ X0)) 0.55/0.79 | ~ (exists_in_world @ X0 @ sk__9))), 0.55/0.79 inference('cnf', [status(esa)], [zf_stmt_1])). 0.55/0.79 thf(zip_derived_cl5, plain, 0.55/0.79 (![X0 : mu, X1 : $i]: 0.55/0.79 (~ (rel_s4 @ (sk__11 @ X0) @ X1) 0.55/0.79 | (big_p @ sk__10 @ X1) 0.55/0.79 | ~ (exists_in_world @ X0 @ sk__9))), 0.55/0.79 inference('cnf', [status(esa)], [zf_stmt_1])). 0.55/0.79 thf(zip_derived_cl39, plain, 0.55/0.79 (![X0 : mu]: 0.55/0.79 (~ (exists_in_world @ X0 @ sk__9) 0.55/0.79 | ~ (exists_in_world @ X0 @ sk__9) 0.55/0.79 | (big_p @ sk__10 @ (sk__12 @ X0)))), 0.55/0.79 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl5])). 0.55/0.79 thf(zip_derived_cl43, plain, 0.55/0.79 (![X0 : mu]: 0.55/0.79 ( (big_p @ sk__10 @ (sk__12 @ X0)) | ~ (exists_in_world @ X0 @ sk__9))), 0.55/0.79 inference('simplify', [status(thm)], [zip_derived_cl39])). 0.55/0.79 thf(zip_derived_cl7, plain, 0.55/0.79 (![X0 : mu]: 0.55/0.79 (~ (big_p @ X0 @ (sk__12 @ X0)) | ~ (exists_in_world @ X0 @ sk__9))), 0.55/0.79 inference('cnf', [status(esa)], [zf_stmt_1])). 0.55/0.79 thf(zip_derived_cl45, plain, 0.55/0.79 ((~ (exists_in_world @ sk__10 @ sk__9) 0.55/0.79 | ~ (exists_in_world @ sk__10 @ sk__9))), 0.55/0.79 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl7])). 0.55/0.79 thf(zip_derived_cl9, plain, ( (exists_in_world @ sk__10 @ sk__9)), 0.55/0.79 inference('cnf', [status(esa)], [zf_stmt_1])). 0.55/0.79 thf(zip_derived_cl9, plain, ( (exists_in_world @ sk__10 @ sk__9)), 0.55/0.79 inference('cnf', [status(esa)], [zf_stmt_1])). 0.55/0.79 thf(zip_derived_cl47, plain, ($false), 0.55/0.79 inference('demod', [status(thm)], 0.55/0.79 [zip_derived_cl45, zip_derived_cl9, zip_derived_cl9])). 0.55/0.79 0.55/0.79 % SZS output end Refutation 0.55/0.79 0.55/0.79 0.55/0.79 % Terminating... 0.55/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.63/0.85 % Runner terminated. 1.80/0.86 % Zipperpin 1.5 exiting 1.80/0.86 EOF