0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.M7LXX8N8bo true 0.14/0.35 % Computer : n006.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Aug 9 04:13:29 EDT 2022 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 960 s 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.20/0.36 % Python version: Python 3.6.8 0.20/0.36 % Running in HO mode 0.54/0.68 % Total configuration time : 828 0.54/0.68 % Estimated wc time : 1656 0.54/0.68 % Estimated cpu time (8 cpus) : 207.0 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.77 % Solved by lams/40_c.s.sh. 0.56/0.77 % done 69 iterations in 0.044s 0.56/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.56/0.77 % SZS output start Refutation 0.56/0.77 thf(mu_type, type, mu: $tType). 0.56/0.77 thf(sk__12_type, type, sk__12: $i). 0.56/0.77 thf(rel_s5_type, type, rel_s5: $i > $i > $o). 0.56/0.77 thf(sk__9_type, type, sk__9: $i). 0.56/0.77 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.56/0.77 thf(sk__11_type, type, sk__11: mu). 0.56/0.77 thf(mreflexive_type, type, mreflexive: ($i > $i > $o) > $o). 0.56/0.77 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 0.56/0.77 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.56/0.77 thf(f_type, type, f: mu > $i > $o). 0.56/0.77 thf(mdia_s5_type, type, mdia_s5: ($i > $o) > $i > $o). 0.56/0.77 thf(mbox_s5_type, type, mbox_s5: ($i > $o) > $i > $o). 0.56/0.77 thf(msymmetric_type, type, msymmetric: ($i > $i > $o) > $o). 0.56/0.77 thf(sk__10_type, type, sk__10: $i). 0.56/0.77 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.56/0.77 thf(mexists_ind_type, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.56/0.77 thf(mforall_ind_type, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.56/0.77 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 0.56/0.77 thf(mdia_s5, axiom,(( mdia_s5 ) = 0.56/0.77 (^[Phi:( $i > $o )]: ( mnot @ ( mbox_s5 @ ( mnot @ Phi ) ) )))). 0.56/0.77 thf(mbox_s5, axiom,(( mbox_s5 ) = 0.56/0.77 (^[Phi:( $i > $o ),W:$i]: 0.56/0.77 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s5 @ W @ V ) ) ) )))). 0.56/0.77 thf('0', plain, 0.56/0.77 (( mbox_s5 ) = 0.56/0.77 ( ^[Phi:( $i > $o ),W:$i]: 0.56/0.77 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s5 @ W @ V ) ) ) ) )), 0.56/0.77 inference('simplify_rw_rule', [status(thm)], [mbox_s5])). 0.56/0.77 thf('1', plain, 0.56/0.77 (( mbox_s5 ) = 0.56/0.77 ( ^[V_1:( $i > $o ),V_2:$i]: 0.56/0.77 ( ![X4:$i]: ( ( V_1 @ X4 ) | ( ~( rel_s5 @ V_2 @ X4 ) ) ) ) )), 0.56/0.77 define([status(thm)])). 0.56/0.77 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))). 0.56/0.77 thf('2', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )), 0.56/0.77 inference('simplify_rw_rule', [status(thm)], [mnot])). 0.56/0.77 thf('3', plain, 0.56/0.77 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 0.56/0.77 define([status(thm)])). 0.56/0.77 thf('4', plain, 0.56/0.77 (( mdia_s5 ) = 0.56/0.77 ( ^[Phi:( $i > $o )]: ( mnot @ ( mbox_s5 @ ( mnot @ Phi ) ) ) )), 0.56/0.77 inference('simplify_rw_rule', [status(thm)], [mdia_s5, '1', '3'])). 0.56/0.77 thf('5', plain, 0.56/0.77 (( mdia_s5 ) = 0.56/0.77 ( ^[V_1:( $i > $o )]: ( mnot @ ( mbox_s5 @ ( mnot @ V_1 ) ) ) )), 0.56/0.77 define([status(thm)])). 0.56/0.77 thf(mvalid, axiom,(( mvalid ) = 0.56/0.77 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 0.56/0.77 thf('6', plain, 0.56/0.77 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 0.56/0.77 inference('simplify_rw_rule', [status(thm)], [mvalid])). 0.56/0.77 thf('7', plain, 0.56/0.77 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 0.56/0.77 define([status(thm)])). 0.56/0.77 thf(mexists_ind, axiom,(( mexists_ind ) = 0.56/0.77 (^[Phi:( mu > $i > $o )]: 0.56/0.77 ( mnot @ ( mforall_ind @ ( ^[X:mu]: ( mnot @ ( Phi @ X ) ) ) ) )))). 0.56/0.77 thf(mforall_ind, axiom,(( mforall_ind ) = 0.56/0.77 (^[Phi:( mu > $i > $o ),W:$i]: ( ![X:mu]: ( Phi @ X @ W ) )))). 0.56/0.77 thf('8', plain, 0.56/0.77 (( mforall_ind ) = 0.56/0.77 ( ^[Phi:( mu > $i > $o ),W:$i]: ( ![X:mu]: ( Phi @ X @ W ) ) )), 0.56/0.77 inference('simplify_rw_rule', [status(thm)], [mforall_ind])). 0.56/0.77 thf('9', plain, 0.56/0.77 (( mforall_ind ) = 0.56/0.77 ( ^[V_1:( mu > $i > $o ),V_2:$i]: ( ![X4:mu]: ( V_1 @ X4 @ V_2 ) ) )), 0.56/0.77 define([status(thm)])). 0.56/0.77 thf('10', plain, 0.56/0.77 (( mexists_ind ) = 0.56/0.77 ( ^[Phi:( mu > $i > $o )]: 0.56/0.77 ( mnot @ ( mforall_ind @ ( ^[X:mu]: ( mnot @ ( Phi @ X ) ) ) ) ) )), 0.56/0.77 inference('simplify_rw_rule', [status(thm)], [mexists_ind, '9', '3'])). 0.56/0.77 thf('11', plain, 0.56/0.77 (( mexists_ind ) = 0.56/0.77 ( ^[V_1:( mu > $i > $o )]: 0.56/0.77 ( mnot @ ( mforall_ind @ ( ^[V_2:mu]: ( mnot @ ( V_1 @ V_2 ) ) ) ) ) )), 0.56/0.77 define([status(thm)])). 0.56/0.77 thf(mimplies, axiom,(( mimplies ) = 0.56/0.77 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))). 0.56/0.77 thf(mor, axiom,(( mor ) = 0.56/0.77 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))). 0.56/0.77 thf('12', plain, 0.56/0.77 (( mor ) = 0.56/0.77 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )), 0.56/0.77 inference('simplify_rw_rule', [status(thm)], [mor])). 0.56/0.77 thf('13', plain, 0.56/0.77 (( mor ) = 0.56/0.77 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 0.56/0.77 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 0.56/0.77 define([status(thm)])). 0.56/0.77 thf('14', plain, 0.56/0.77 (( mimplies ) = 0.56/0.77 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )), 0.56/0.77 inference('simplify_rw_rule', [status(thm)], [mimplies, '13', '3'])). 0.56/0.77 thf('15', plain, 0.56/0.77 (( mimplies ) = 0.56/0.77 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 0.56/0.77 define([status(thm)])). 0.56/0.77 thf(mand, axiom,(( mand ) = 0.56/0.77 (^[Phi:( $i > $o ),Psi:( $i > $o )]: 0.56/0.77 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) )))). 0.56/0.77 thf('16', plain, 0.56/0.77 (( mand ) = 0.56/0.77 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: 0.56/0.77 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) )), 0.56/0.77 inference('simplify_rw_rule', [status(thm)], [mand, '13', '3'])). 0.56/0.77 thf('17', plain, 0.56/0.77 (( mand ) = 0.56/0.77 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 0.56/0.77 ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) )), 0.56/0.77 define([status(thm)])). 0.56/0.77 thf(prove, conjecture, 0.56/0.77 (mvalid @ 0.56/0.77 ( mimplies @ 0.56/0.77 ( mand @ 0.56/0.77 ( mbox_s5 @ 0.56/0.77 ( mforall_ind @ 0.56/0.77 ( ^[X:mu]: ( mimplies @ ( f @ X ) @ ( mbox_s5 @ ( f @ X ) ) ) ) ) ) @ 0.56/0.77 ( mdia_s5 @ ( mexists_ind @ ( ^[X:mu]: ( f @ X ) ) ) ) ) @ 0.56/0.77 ( mbox_s5 @ ( mexists_ind @ ( ^[X:mu]: ( f @ X ) ) ) ) ))). 0.56/0.77 thf(zf_stmt_0, conjecture, 0.56/0.77 (![X4:$i]: 0.56/0.77 ( ( ![X12:$i]: 0.56/0.77 ( ( ![X14:mu]: ( ~( f @ X14 @ X12 ) ) ) | ( ~( rel_s5 @ X4 @ X12 ) ) ) ) | 0.56/0.77 ( ~( ![X6:$i]: 0.56/0.77 ( ( ![X8:mu]: 0.56/0.77 ( ( ~( f @ X8 @ X6 ) ) | 0.56/0.77 ( ![X10:$i]: 0.56/0.77 ( ( f @ X8 @ X10 ) | ( ~( rel_s5 @ X6 @ X10 ) ) ) ) ) ) | 0.56/0.77 ( ~( rel_s5 @ X4 @ X6 ) ) ) ) ) | 0.56/0.77 ( ![X16:$i]: 0.56/0.77 ( ( ~( ![X18:mu]: ( ~( f @ X18 @ X16 ) ) ) ) | 0.56/0.77 ( ~( rel_s5 @ X4 @ X16 ) ) ) ) ))). 0.56/0.77 thf(zf_stmt_1, negated_conjecture, 0.56/0.77 (~( ![X4:$i]: 0.56/0.77 ( ( ![X12:$i]: 0.56/0.77 ( ( ![X14:mu]: ( ~( f @ X14 @ X12 ) ) ) | 0.56/0.77 ( ~( rel_s5 @ X4 @ X12 ) ) ) ) | 0.56/0.77 ( ~( ![X6:$i]: 0.56/0.77 ( ( ![X8:mu]: 0.56/0.77 ( ( ~( f @ X8 @ X6 ) ) | 0.56/0.77 ( ![X10:$i]: 0.56/0.77 ( ( f @ X8 @ X10 ) | ( ~( rel_s5 @ X6 @ X10 ) ) ) ) ) ) | 0.56/0.77 ( ~( rel_s5 @ X4 @ X6 ) ) ) ) ) | 0.56/0.77 ( ![X16:$i]: 0.56/0.77 ( ( ~( ![X18:mu]: ( ~( f @ X18 @ X16 ) ) ) ) | 0.56/0.77 ( ~( rel_s5 @ X4 @ X16 ) ) ) ) ) )), 0.56/0.77 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.56/0.77 thf(zip_derived_cl6, plain, ( (f @ sk__11 @ sk__10)), 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.77 thf(zip_derived_cl7, plain, ( (rel_s5 @ sk__9 @ sk__10)), 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.77 thf(msymmetric, axiom,(( msymmetric ) = 0.56/0.77 (^[R:( $i > $i > $o )]: 0.56/0.77 ( ![S:$i,T:$i]: ( ( R @ S @ T ) => ( R @ T @ S ) ) )))). 0.56/0.77 thf('18', plain, 0.56/0.77 (( msymmetric ) = 0.56/0.77 ( ^[R:( $i > $i > $o )]: 0.56/0.77 ( ![S:$i,T:$i]: ( ( R @ S @ T ) => ( R @ T @ S ) ) ) )), 0.56/0.77 inference('simplify_rw_rule', [status(thm)], [msymmetric])). 0.56/0.77 thf('19', plain, 0.56/0.77 (( msymmetric ) = 0.56/0.77 ( ^[V_1:( $i > $i > $o )]: 0.56/0.77 ( ![X4:$i,X6:$i]: ( ( V_1 @ X4 @ X6 ) => ( V_1 @ X6 @ X4 ) ) ) )), 0.56/0.77 define([status(thm)])).thf(a3, axiom, (msymmetric @ rel_s5)). 0.56/0.77 thf(zf_stmt_2, axiom, 0.56/0.77 (![X4:$i,X6:$i]: ( ( rel_s5 @ X4 @ X6 ) => ( rel_s5 @ X6 @ X4 ) ))). 0.56/0.77 thf(zip_derived_cl0, plain, 0.56/0.77 (![X0 : $i, X1 : $i]: ( (rel_s5 @ X0 @ X1) | ~ (rel_s5 @ X1 @ X0))), 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_2])). 0.56/0.77 thf(zip_derived_cl5, plain, 0.56/0.77 (![X1 : mu, X2 : $i, X3 : $i]: 0.56/0.77 ( (f @ X1 @ X2) 0.56/0.77 | ~ (rel_s5 @ X3 @ X2) 0.56/0.77 | ~ (f @ X1 @ X3) 0.56/0.77 | ~ (rel_s5 @ sk__9 @ X3))), 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.77 thf(zip_derived_cl47, plain, 0.56/0.77 (![X0 : $i, X1 : $i, X2 : mu]: 0.56/0.77 (~ (rel_s5 @ X0 @ X1) 0.56/0.77 | ~ (rel_s5 @ sk__9 @ X1) 0.56/0.77 | ~ (f @ X2 @ X1) 0.56/0.77 | (f @ X2 @ X0))), 0.56/0.77 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])). 0.56/0.77 thf(zip_derived_cl179, plain, 0.56/0.77 (![X0 : mu]: 0.56/0.77 ( (f @ X0 @ sk__9) | ~ (f @ X0 @ sk__10) | ~ (rel_s5 @ sk__9 @ sk__10))), 0.56/0.77 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl47])). 0.56/0.77 thf(zip_derived_cl4, plain, ( (rel_s5 @ sk__9 @ sk__12)), 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.77 thf(zip_derived_cl5, plain, 0.56/0.77 (![X1 : mu, X2 : $i, X3 : $i]: 0.56/0.77 ( (f @ X1 @ X2) 0.56/0.77 | ~ (rel_s5 @ X3 @ X2) 0.56/0.77 | ~ (f @ X1 @ X3) 0.56/0.77 | ~ (rel_s5 @ sk__9 @ X3))), 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.77 thf(zip_derived_cl44, plain, 0.56/0.77 (![X0 : mu]: 0.56/0.77 (~ (rel_s5 @ sk__9 @ sk__9) | ~ (f @ X0 @ sk__9) | (f @ X0 @ sk__12))), 0.56/0.77 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])). 0.56/0.77 thf(mreflexive, axiom,(( mreflexive ) = 0.56/0.77 (^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) )))). 0.56/0.77 thf('20', plain, 0.56/0.77 (( mreflexive ) = ( ^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) ) )), 0.56/0.77 inference('simplify_rw_rule', [status(thm)], [mreflexive])). 0.56/0.77 thf('21', plain, 0.56/0.77 (( mreflexive ) = 0.56/0.77 ( ^[V_1:( $i > $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 @ X4 ) ) )), 0.56/0.77 define([status(thm)])).thf(a1, axiom, (mreflexive @ rel_s5)). 0.56/0.77 thf(zf_stmt_3, axiom, (![X4:$i]: ( rel_s5 @ X4 @ X4 ))). 0.56/0.77 thf(zip_derived_cl1, plain, (![X0 : $i]: (rel_s5 @ X0 @ X0)), 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_3])). 0.56/0.77 thf(zip_derived_cl54, plain, 0.56/0.77 (![X0 : mu]: (~ (f @ X0 @ sk__9) | (f @ X0 @ sk__12))), 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl1])). 0.56/0.77 thf(zip_derived_cl3, plain, (![X0 : mu]: ~ (f @ X0 @ sk__12)), 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.77 thf(zip_derived_cl59, plain, (![X0 : mu]: ~ (f @ X0 @ sk__9)), 0.56/0.77 inference('clc', [status(thm)], [zip_derived_cl54, zip_derived_cl3])). 0.56/0.77 thf(zip_derived_cl7, plain, ( (rel_s5 @ sk__9 @ sk__10)), 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_1])). 0.56/0.77 thf(zip_derived_cl193, plain, (![X0 : mu]: ~ (f @ X0 @ sk__10)), 0.56/0.77 inference('demod', [status(thm)], 0.56/0.77 [zip_derived_cl179, zip_derived_cl59, zip_derived_cl7])). 0.56/0.77 thf(zip_derived_cl198, plain, ($false), 0.56/0.77 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl193])). 0.56/0.77 0.56/0.77 % SZS output end Refutation 0.56/0.77 0.56/0.77 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 0.56/0.77 % Terminating... 1.68/0.87 % Runner terminated. 1.68/0.88 % Zipperpin 1.5 exiting 1.68/0.88 EOF