0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jefBt2yStq true 0.13/0.35 % Computer : n024.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 04:57:07 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 960 s 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.36 % Running in HO mode 0.56/0.66 % Total configuration time : 828 0.56/0.66 % Estimated wc time : 1656 0.56/0.66 % Estimated cpu time (8 cpus) : 207.0 0.58/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.58/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.59/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.60/0.87 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 0.60/0.97 % Solved by lams/40_noforms.sh. 0.60/0.97 % done 154 iterations in 0.157s 0.60/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.60/0.97 % SZS output start Refutation 0.60/0.97 thf(mu_type, type, mu: $tType). 0.60/0.97 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 0.60/0.97 thf(mreflexive_type, type, mreflexive: ($i > $i > $o) > $o). 0.60/0.97 thf(mexists_ind_type, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.60/0.97 thf(closed_type, type, closed: mu > $i > $o). 0.60/0.97 thf(combo_type, type, combo: mu > mu > $i > $o). 0.60/0.97 thf(sk__12_type, type, sk__12: $i). 0.60/0.97 thf(rel_s4_type, type, rel_s4: $i > $i > $o). 0.60/0.97 thf(sk__8_type, type, sk__8: mu > mu > $i > mu). 0.60/0.97 thf(sk__6_type, type, sk__6: $i > mu). 0.60/0.97 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 0.60/0.97 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.60/0.97 thf(d_type, type, d: mu). 0.60/0.97 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.60/0.97 thf(h_type, type, h: mu > $i > $o). 0.60/0.97 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o). 0.60/0.97 thf(exists_in_world_type, type, exists_in_world: mu > $i > $o). 0.60/0.97 thf(sk__9_type, type, sk__9: $i > mu). 0.60/0.97 thf(mforall_ind_type, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.60/0.97 thf(o_type, type, o: mu). 0.60/0.97 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.60/0.97 thf(sk__11_type, type, sk__11: $i). 0.60/0.97 thf(open_type, type, open: mu > $i > $o). 0.60/0.97 thf(nonempty_ax, axiom, (![V:$i]: ( ?[X:mu]: ( exists_in_world @ X @ V ) ))). 0.60/0.97 thf(zip_derived_cl0, plain, 0.60/0.97 (![X0 : $i]: (exists_in_world @ (sk__6 @ X0) @ X0)), 0.60/0.97 inference('cnf', [status(esa)], [nonempty_ax])). 0.60/0.97 thf(mbox_s4, axiom,(( mbox_s4 ) = 0.60/0.97 (^[Phi:( $i > $o ),W:$i]: 0.60/0.97 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) )))). 0.60/0.97 thf('0', plain, 0.60/0.97 (( mbox_s4 ) = 0.60/0.97 ( ^[Phi:( $i > $o ),W:$i]: 0.60/0.97 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) ) )), 0.60/0.97 inference('simplify_rw_rule', [status(thm)], [mbox_s4])). 0.60/0.97 thf('1', plain, 0.60/0.97 (( mbox_s4 ) = 0.60/0.97 ( ^[V_1:( $i > $o ),V_2:$i]: 0.60/0.97 ( ![X4:$i]: ( ( V_1 @ X4 ) | ( ~( rel_s4 @ V_2 @ X4 ) ) ) ) )), 0.60/0.97 define([status(thm)])). 0.60/0.97 thf(mvalid, axiom,(( mvalid ) = 0.60/0.97 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 0.60/0.97 thf('2', plain, 0.60/0.97 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 0.60/0.97 inference('simplify_rw_rule', [status(thm)], [mvalid])). 0.60/0.97 thf('3', plain, 0.60/0.97 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 0.60/0.97 define([status(thm)])). 0.60/0.97 thf(mexists_ind, axiom,(( mexists_ind ) = 0.60/0.97 (^[Phi:( mu > $i > $o )]: 0.60/0.97 ( mnot @ ( mforall_ind @ ( ^[X:mu]: ( mnot @ ( Phi @ X ) ) ) ) )))). 0.60/0.97 thf(mforall_ind, axiom,(( mforall_ind ) = 0.60/0.97 (^[Phi:( mu > $i > $o ),W:$i]: 0.60/0.97 ( ![X:mu]: ( ( exists_in_world @ X @ W ) => ( Phi @ X @ W ) ) )))). 0.60/0.97 thf('4', plain, 0.60/0.97 (( mforall_ind ) = 0.60/0.97 ( ^[Phi:( mu > $i > $o ),W:$i]: 0.60/0.97 ( ![X:mu]: ( ( exists_in_world @ X @ W ) => ( Phi @ X @ W ) ) ) )), 0.60/0.97 inference('simplify_rw_rule', [status(thm)], [mforall_ind])). 0.60/0.97 thf('5', plain, 0.60/0.97 (( mforall_ind ) = 0.60/0.97 ( ^[V_1:( mu > $i > $o ),V_2:$i]: 0.60/0.97 ( ![X4:mu]: ( ( exists_in_world @ X4 @ V_2 ) => ( V_1 @ X4 @ V_2 ) ) ) )), 0.60/0.97 define([status(thm)])). 0.60/0.97 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))). 0.60/0.97 thf('6', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )), 0.60/0.97 inference('simplify_rw_rule', [status(thm)], [mnot])). 0.60/0.97 thf('7', plain, 0.60/0.97 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 0.60/0.97 define([status(thm)])). 0.60/0.97 thf('8', plain, 0.60/0.97 (( mexists_ind ) = 0.60/0.97 ( ^[Phi:( mu > $i > $o )]: 0.60/0.97 ( mnot @ ( mforall_ind @ ( ^[X:mu]: ( mnot @ ( Phi @ X ) ) ) ) ) )), 0.60/0.97 inference('simplify_rw_rule', [status(thm)], [mexists_ind, '5', '7'])). 0.60/0.97 thf('9', plain, 0.60/0.97 (( mexists_ind ) = 0.60/0.97 ( ^[V_1:( mu > $i > $o )]: 0.60/0.97 ( mnot @ ( mforall_ind @ ( ^[V_2:mu]: ( mnot @ ( V_1 @ V_2 ) ) ) ) ) )), 0.60/0.97 define([status(thm)])). 0.60/0.97 thf(mimplies, axiom,(( mimplies ) = 0.60/0.97 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))). 0.60/0.97 thf(mor, axiom,(( mor ) = 0.60/0.97 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))). 0.60/0.97 thf('10', plain, 0.60/0.97 (( mor ) = 0.60/0.97 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )), 0.60/0.97 inference('simplify_rw_rule', [status(thm)], [mor])). 0.60/0.97 thf('11', plain, 0.60/0.97 (( mor ) = 0.60/0.97 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 0.60/0.97 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 0.60/0.97 define([status(thm)])). 0.60/0.97 thf('12', plain, 0.60/0.97 (( mimplies ) = 0.60/0.97 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )), 0.60/0.97 inference('simplify_rw_rule', [status(thm)], [mimplies, '11', '7'])). 0.60/0.97 thf('13', plain, 0.60/0.97 (( mimplies ) = 0.60/0.97 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 0.60/0.97 define([status(thm)])). 0.60/0.97 thf(mand, axiom,(( mand ) = 0.60/0.97 (^[Phi:( $i > $o ),Psi:( $i > $o )]: 0.60/0.97 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) )))). 0.60/0.97 thf('14', plain, 0.60/0.97 (( mand ) = 0.60/0.97 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: 0.60/0.97 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) )), 0.60/0.97 inference('simplify_rw_rule', [status(thm)], [mand, '11', '7'])). 0.60/0.97 thf('15', plain, 0.60/0.97 (( mand ) = 0.60/0.97 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 0.60/0.97 ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) )), 0.60/0.97 define([status(thm)])). 0.60/0.97 thf(con, conjecture, 0.60/0.97 (mvalid @ 0.60/0.97 ( mbox_s4 @ 0.60/0.97 ( mexists_ind @ 0.60/0.97 ( ^[V:mu]: 0.60/0.97 ( mexists_ind @ 0.60/0.97 ( ^[O:mu]: 0.60/0.97 ( mimplies @ 0.60/0.97 ( mbox_s4 @ ( mand @ ( combo @ d @ V ) @ ( h @ O ) ) ) @ 0.60/0.97 ( mbox_s4 @ ( open @ d ) ) ) ) ) ) ) ))). 0.60/0.97 thf(zf_stmt_0, conjecture, 0.60/0.97 (![X4:$i,X6:$i]: 0.60/0.97 ( ( ~( ![X8:mu]: 0.60/0.97 ( ( exists_in_world @ X8 @ X6 ) => 0.60/0.97 ( ![X10:mu]: 0.60/0.97 ( ( exists_in_world @ X10 @ X6 ) => 0.60/0.97 ( ~( ( ~( ![X12:$i]: 0.60/0.97 ( ( ~( ( ~( combo @ d @ X8 @ X12 ) ) | 0.60/0.97 ( ~( h @ X10 @ X12 ) ) ) ) | 0.60/0.97 ( ~( rel_s4 @ X6 @ X12 ) ) ) ) ) | 0.60/0.97 ( ![X14:$i]: 0.60/0.97 ( ( open @ d @ X14 ) | ( ~( rel_s4 @ X6 @ X14 ) ) ) ) ) ) ) ) ) ) ) | 0.60/0.97 ( ~( rel_s4 @ X4 @ X6 ) ) ))). 0.60/0.97 thf(zf_stmt_1, negated_conjecture, 0.60/0.97 (~( ![X4:$i,X6:$i]: 0.60/0.97 ( ( ~( ![X8:mu]: 0.60/0.97 ( ( exists_in_world @ X8 @ X6 ) => 0.60/0.97 ( ![X10:mu]: 0.60/0.97 ( ( exists_in_world @ X10 @ X6 ) => 0.60/0.97 ( ~( ( ~( ![X12:$i]: 0.60/0.97 ( ( ~( ( ~( combo @ d @ X8 @ X12 ) ) | 0.60/0.97 ( ~( h @ X10 @ X12 ) ) ) ) | 0.60/0.97 ( ~( rel_s4 @ X6 @ X12 ) ) ) ) ) | 0.60/0.97 ( ![X14:$i]: 0.60/0.97 ( ( open @ d @ X14 ) | ( ~( rel_s4 @ X6 @ X14 ) ) ) ) ) ) ) ) ) ) ) | 0.60/0.97 ( ~( rel_s4 @ X4 @ X6 ) ) ) )), 0.60/0.97 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.60/0.97 thf(zip_derived_cl17, plain, 0.60/0.97 (![X0 : mu, X1 : mu]: 0.60/0.97 (~ (exists_in_world @ X0 @ sk__11) 0.60/0.97 | (rel_s4 @ sk__11 @ sk__12) 0.60/0.97 | ~ (exists_in_world @ X1 @ sk__11))), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_1])). 0.60/0.97 thf(zip_derived_cl63, plain, 0.60/0.97 (![X0 : mu]: 0.60/0.97 (~ (exists_in_world @ X0 @ sk__11) | (rel_s4 @ sk__11 @ sk__12))), 0.60/0.97 inference('condensation', [status(thm)], [zip_derived_cl17])). 0.60/0.97 thf(zip_derived_cl64, plain, ( (rel_s4 @ sk__11 @ sk__12)), 0.60/0.97 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl63])). 0.60/0.97 thf(ax5, axiom, 0.60/0.97 (mvalid @ ( mexists_ind @ ( ^[V:mu]: ( mbox_s4 @ ( combo @ d @ V ) ) ) ))). 0.60/0.97 thf(zf_stmt_2, axiom, 0.60/0.97 (![X4:$i]: 0.60/0.97 ( ~( ![X6:mu]: 0.60/0.97 ( ( exists_in_world @ X6 @ X4 ) => 0.60/0.97 ( ~( ![X8:$i]: 0.60/0.97 ( ( combo @ d @ X6 @ X8 ) | ( ~( rel_s4 @ X4 @ X8 ) ) ) ) ) ) ) ))). 0.60/0.97 thf(zip_derived_cl12, plain, 0.60/0.97 (![X0 : $i]: (exists_in_world @ (sk__9 @ X0) @ X0)), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_2])). 0.60/0.97 thf(mreflexive, axiom,(( mreflexive ) = 0.60/0.97 (^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) )))). 0.60/0.97 thf('16', plain, 0.60/0.97 (( mreflexive ) = ( ^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) ) )), 0.60/0.97 inference('simplify_rw_rule', [status(thm)], [mreflexive])). 0.60/0.97 thf('17', plain, 0.60/0.97 (( mreflexive ) = 0.60/0.97 ( ^[V_1:( $i > $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 @ X4 ) ) )), 0.60/0.97 define([status(thm)])).thf(a1, axiom, (mreflexive @ rel_s4)). 0.60/0.97 thf(zf_stmt_3, axiom, (![X4:$i]: ( rel_s4 @ X4 @ X4 ))). 0.60/0.97 thf(zip_derived_cl2, plain, (![X0 : $i]: (rel_s4 @ X0 @ X0)), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_3])). 0.60/0.97 thf(existence_of_d_ax, axiom, (![V:$i]: ( exists_in_world @ d @ V ))). 0.60/0.97 thf(zip_derived_cl11, plain, (![X0 : $i]: (exists_in_world @ d @ X0)), 0.60/0.97 inference('cnf', [status(esa)], [existence_of_d_ax])). 0.60/0.97 thf(ax1, axiom, 0.60/0.97 (mvalid @ 0.60/0.97 ( mbox_s4 @ 0.60/0.97 ( mforall_ind @ 0.60/0.97 ( ^[S:mu]: 0.60/0.97 ( mforall_ind @ 0.60/0.97 ( ^[V:mu]: 0.60/0.97 ( mexists_ind @ 0.60/0.97 ( ^[O:mu]: 0.60/0.97 ( mand @ 0.60/0.97 ( mbox_s4 @ 0.60/0.97 ( mimplies @ 0.60/0.97 ( mand @ 0.60/0.97 ( closed @ S ) @ 0.60/0.97 ( mand @ ( combo @ S @ V ) @ ( h @ O ) ) ) @ 0.60/0.97 ( mbox_s4 @ ( open @ S ) ) ) ) @ 0.60/0.97 ( mbox_s4 @ 0.60/0.97 ( mimplies @ 0.60/0.97 ( mand @ 0.60/0.97 ( closed @ S ) @ 0.60/0.97 ( mand @ ( mnot @ ( combo @ S @ V ) ) @ ( h @ o ) ) ) @ 0.60/0.97 ( mbox_s4 @ ( closed @ S ) ) ) ) ) ) ) ) ) ) ) ))). 0.60/0.97 thf(zf_stmt_4, axiom, 0.60/0.97 (![X4:$i,X6:$i]: 0.60/0.97 ( ( ![X8:mu]: 0.60/0.97 ( ( exists_in_world @ X8 @ X6 ) => 0.60/0.97 ( ![X10:mu]: 0.60/0.97 ( ( exists_in_world @ X10 @ X6 ) => 0.60/0.97 ( ~( ![X12:mu]: 0.60/0.97 ( ( exists_in_world @ X12 @ X6 ) => 0.60/0.97 ( ( ~( ![X14:$i]: 0.60/0.97 ( ( ~( combo @ X8 @ X10 @ X14 ) ) | 0.60/0.97 ( ~( h @ X12 @ X14 ) ) | 0.60/0.97 ( ~( closed @ X8 @ X14 ) ) | 0.60/0.97 ( ![X16:$i]: 0.60/0.97 ( ( open @ X8 @ X16 ) | 0.60/0.97 ( ~( rel_s4 @ X14 @ X16 ) ) ) ) | 0.60/0.97 ( ~( rel_s4 @ X6 @ X14 ) ) ) ) ) | 0.60/0.97 ( ~( ![X18:$i]: 0.60/0.97 ( ( combo @ X8 @ X10 @ X18 ) | 0.60/0.97 ( ~( h @ o @ X18 ) ) | 0.60/0.97 ( ~( closed @ X8 @ X18 ) ) | 0.60/0.97 ( ![X20:$i]: 0.60/0.97 ( ( closed @ X8 @ X20 ) | 0.60/0.97 ( ~( rel_s4 @ X18 @ X20 ) ) ) ) | 0.60/0.97 ( ~( rel_s4 @ X6 @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) | 0.60/0.97 ( ~( rel_s4 @ X4 @ X6 ) ) ))). 0.60/0.97 thf(zip_derived_cl6, plain, 0.60/0.97 (![X0 : mu, X1 : $i, X2 : mu, X3 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ X1) 0.60/0.97 | (exists_in_world @ (sk__8 @ X2 @ X0 @ X1) @ X1) 0.60/0.97 | ~ (exists_in_world @ X2 @ X1) 0.60/0.97 | ~ (rel_s4 @ X3 @ X1))), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_4])). 0.60/0.97 thf(zip_derived_cl91, plain, 0.60/0.97 (![X0 : $i, X1 : $i, X2 : mu]: 0.60/0.97 (~ (rel_s4 @ X1 @ X0) 0.60/0.97 | ~ (exists_in_world @ X2 @ X0) 0.60/0.97 | (exists_in_world @ (sk__8 @ X2 @ d @ X0) @ X0))), 0.60/0.97 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl6])). 0.60/0.97 thf(zip_derived_cl214, plain, 0.60/0.97 (![X0 : $i, X1 : mu]: 0.60/0.97 ( (exists_in_world @ (sk__8 @ X1 @ d @ X0) @ X0) 0.60/0.97 | ~ (exists_in_world @ X1 @ X0))), 0.60/0.97 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl91])). 0.60/0.97 thf(zip_derived_cl19, plain, 0.60/0.97 (![X0 : mu, X1 : mu, X2 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X2) 0.60/0.97 | (h @ X0 @ X2) 0.60/0.97 | ~ (exists_in_world @ X1 @ sk__11))), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_1])). 0.60/0.97 thf(zip_derived_cl60, plain, 0.60/0.97 (![X0 : mu, X1 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X1) 0.60/0.97 | (h @ X0 @ X1))), 0.60/0.97 inference('condensation', [status(thm)], [zip_derived_cl19])). 0.60/0.97 thf(zip_derived_cl5, plain, 0.60/0.97 (![X0 : mu, X1 : $i, X2 : $i, X3 : $i, X4 : mu, X5 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ X1) 0.60/0.97 | ~ (rel_s4 @ X1 @ X2) 0.60/0.97 | (open @ X0 @ X3) 0.60/0.97 | ~ (rel_s4 @ X2 @ X3) 0.60/0.97 | ~ (closed @ X0 @ X2) 0.60/0.97 | ~ (h @ (sk__8 @ X4 @ X0 @ X1) @ X2) 0.60/0.97 | ~ (combo @ X0 @ X4 @ X2) 0.60/0.97 | ~ (exists_in_world @ X4 @ X1) 0.60/0.97 | ~ (rel_s4 @ X5 @ X1))), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_4])). 0.60/0.97 thf(zip_derived_cl61, plain, 0.60/0.97 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu, X4 : $i, X5 : $i]: 0.60/0.97 (~ (rel_s4 @ sk__11 @ X0) 0.60/0.97 | ~ (exists_in_world @ (sk__8 @ X3 @ X2 @ X1) @ sk__11) 0.60/0.97 | ~ (rel_s4 @ X4 @ X1) 0.60/0.97 | ~ (exists_in_world @ X3 @ X1) 0.60/0.97 | ~ (combo @ X2 @ X3 @ X0) 0.60/0.97 | ~ (closed @ X2 @ X0) 0.60/0.97 | ~ (rel_s4 @ X0 @ X5) 0.60/0.97 | (open @ X2 @ X5) 0.60/0.97 | ~ (rel_s4 @ X1 @ X0) 0.60/0.97 | ~ (exists_in_world @ X2 @ X1))), 0.60/0.97 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl5])). 0.60/0.97 thf(zip_derived_cl321, plain, 0.60/0.97 (![X0 : mu, X1 : $i, X2 : $i, X3 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ sk__11) 0.60/0.97 | ~ (exists_in_world @ d @ sk__11) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X1) 0.60/0.97 | (open @ d @ X2) 0.60/0.97 | ~ (rel_s4 @ X1 @ X2) 0.60/0.97 | ~ (closed @ d @ X1) 0.60/0.97 | ~ (combo @ d @ X0 @ X1) 0.60/0.97 | ~ (exists_in_world @ X0 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ X3 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X1))), 0.60/0.97 inference('sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl61])). 0.60/0.97 thf(zip_derived_cl11, plain, (![X0 : $i]: (exists_in_world @ d @ X0)), 0.60/0.97 inference('cnf', [status(esa)], [existence_of_d_ax])). 0.60/0.97 thf(zip_derived_cl2, plain, (![X0 : $i]: (rel_s4 @ X0 @ X0)), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_3])). 0.60/0.97 thf(ax2, axiom, (mvalid @ ( mbox_s4 @ ( closed @ d ) ))). 0.60/0.97 thf(zf_stmt_5, axiom, 0.60/0.97 (![X4:$i,X6:$i]: ( ( closed @ d @ X6 ) | ( ~( rel_s4 @ X4 @ X6 ) ) ))). 0.60/0.97 thf(zip_derived_cl14, plain, 0.60/0.97 (![X0 : $i, X1 : $i]: ( (closed @ d @ X0) | ~ (rel_s4 @ X1 @ X0))), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_5])). 0.60/0.97 thf(zip_derived_cl20, plain, (![X0 : $i]: (closed @ d @ X0)), 0.60/0.97 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl14])). 0.60/0.97 thf(zip_derived_cl331, plain, 0.60/0.97 (![X0 : mu, X1 : $i, X2 : $i, X3 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X1) 0.60/0.97 | (open @ d @ X2) 0.60/0.97 | ~ (rel_s4 @ X1 @ X2) 0.60/0.97 | ~ (combo @ d @ X0 @ X1) 0.60/0.97 | ~ (exists_in_world @ X0 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ X3 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X1))), 0.60/0.97 inference('demod', [status(thm)], 0.60/0.97 [zip_derived_cl321, zip_derived_cl11, zip_derived_cl20])). 0.60/0.97 thf(zip_derived_cl332, plain, 0.60/0.97 (![X0 : mu, X1 : $i, X2 : $i, X3 : $i]: 0.60/0.97 (~ (rel_s4 @ X3 @ sk__11) 0.60/0.97 | ~ (combo @ d @ X0 @ X1) 0.60/0.97 | ~ (rel_s4 @ X1 @ X2) 0.60/0.97 | (open @ d @ X2) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X1) 0.60/0.97 | ~ (exists_in_world @ X0 @ sk__11))), 0.60/0.97 inference('simplify', [status(thm)], [zip_derived_cl331])). 0.60/0.97 thf(zip_derived_cl18, plain, 0.60/0.97 (![X0 : mu, X1 : mu, X2 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X2) 0.60/0.97 | (combo @ d @ X1 @ X2) 0.60/0.97 | ~ (exists_in_world @ X1 @ sk__11))), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_1])). 0.60/0.97 thf(zip_derived_cl139, plain, 0.60/0.97 (![X0 : mu, X1 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X1) 0.60/0.97 | (combo @ d @ X0 @ X1))), 0.60/0.97 inference('condensation', [status(thm)], [zip_derived_cl18])). 0.60/0.97 thf(zip_derived_cl353, plain, 0.60/0.97 (![X0 : mu, X1 : $i, X2 : $i, X3 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X1) 0.60/0.97 | (open @ d @ X2) 0.60/0.97 | ~ (rel_s4 @ X1 @ X2) 0.60/0.97 | ~ (rel_s4 @ X3 @ sk__11))), 0.60/0.97 inference('clc', [status(thm)], [zip_derived_cl332, zip_derived_cl139])). 0.60/0.97 thf(zip_derived_cl2, plain, (![X0 : $i]: (rel_s4 @ X0 @ X0)), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_3])). 0.60/0.97 thf(zip_derived_cl11, plain, (![X0 : $i]: (exists_in_world @ d @ X0)), 0.60/0.97 inference('cnf', [status(esa)], [existence_of_d_ax])). 0.60/0.97 thf(ax4, axiom, 0.60/0.97 (mvalid @ 0.60/0.97 ( mbox_s4 @ 0.60/0.97 ( mforall_ind @ 0.60/0.97 ( ^[S:mu]: ( mnot @ ( mand @ ( open @ S ) @ ( closed @ S ) ) ) ) ) ))). 0.60/0.97 thf(zf_stmt_6, axiom, 0.60/0.97 (![X4:$i,X6:$i]: 0.60/0.97 ( ( ![X8:mu]: 0.60/0.97 ( ( exists_in_world @ X8 @ X6 ) => 0.60/0.97 ( ( ~( open @ X8 @ X6 ) ) | ( ~( closed @ X8 @ X6 ) ) ) ) ) | 0.60/0.97 ( ~( rel_s4 @ X4 @ X6 ) ) ))). 0.60/0.97 thf(zip_derived_cl4, plain, 0.60/0.97 (![X0 : mu, X1 : $i, X2 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ X1) 0.60/0.97 | ~ (open @ X0 @ X1) 0.60/0.97 | ~ (closed @ X0 @ X1) 0.60/0.97 | ~ (rel_s4 @ X2 @ X1))), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_6])). 0.60/0.97 thf(zip_derived_cl24, plain, 0.60/0.97 (![X0 : $i, X1 : $i]: 0.60/0.97 (~ (rel_s4 @ X1 @ X0) | ~ (closed @ d @ X0) | ~ (open @ d @ X0))), 0.60/0.97 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl4])). 0.60/0.97 thf(zip_derived_cl20, plain, (![X0 : $i]: (closed @ d @ X0)), 0.60/0.97 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl14])). 0.60/0.97 thf(zip_derived_cl29, plain, 0.60/0.97 (![X0 : $i, X1 : $i]: (~ (rel_s4 @ X1 @ X0) | ~ (open @ d @ X0))), 0.60/0.97 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl20])). 0.60/0.97 thf(zip_derived_cl51, plain, (![X0 : $i]: ~ (open @ d @ X0)), 0.60/0.97 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl29])). 0.60/0.97 thf(zip_derived_cl354, plain, 0.60/0.97 (![X0 : mu, X1 : $i, X2 : $i, X3 : $i]: 0.60/0.97 (~ (rel_s4 @ X3 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ X1 @ X2) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X1) 0.60/0.97 | ~ (exists_in_world @ X0 @ sk__11))), 0.60/0.97 inference('clc', [status(thm)], [zip_derived_cl353, zip_derived_cl51])). 0.60/0.97 thf(zip_derived_cl359, plain, 0.60/0.97 (![X0 : mu, X1 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ sk__11) 0.60/0.97 | ~ (rel_s4 @ sk__11 @ X1))), 0.60/0.97 inference('eq_fact', [status(thm)], [zip_derived_cl354])). 0.60/0.97 thf(zip_derived_cl2, plain, (![X0 : $i]: (rel_s4 @ X0 @ X0)), 0.60/0.97 inference('cnf', [status(esa)], [zf_stmt_3])). 0.60/0.97 thf(zip_derived_cl367, plain, 0.60/0.97 (![X0 : mu, X1 : $i]: 0.60/0.97 (~ (exists_in_world @ X0 @ sk__11) | ~ (rel_s4 @ sk__11 @ X1))), 0.60/0.97 inference('demod', [status(thm)], [zip_derived_cl359, zip_derived_cl2])). 0.60/0.97 thf(zip_derived_cl375, plain, (![X0 : $i]: ~ (rel_s4 @ sk__11 @ X0)), 0.60/0.97 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl367])). 0.60/0.97 thf(zip_derived_cl406, plain, ($false), 0.60/0.97 inference('sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl375])). 0.60/0.97 0.60/0.97 % SZS output end Refutation 0.60/0.97 0.60/0.97 0.60/0.97 % Terminating... 2.04/1.09 % Runner terminated. 2.04/1.09 % Zipperpin 1.5 exiting 2.04/1.10 EOF