0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.14/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3UAmBntb2m true 0.15/0.35 % Computer : n006.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1200 0.15/0.35 % WCLimit : 120 0.15/0.35 % DateTime : Tue Jul 13 12:25:56 EDT 2021 0.15/0.36 % CPUTime : 0.15/0.36 % Running portfolio for 120 s 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.36 % Number of cores: 8 0.15/0.36 % Python version: Python 3.6.8 0.15/0.36 % Running in HO mode 0.46/0.64 % Total configuration time : 828 0.46/0.64 % Estimated wc time : 983 0.46/0.64 % Estimated cpu time (8 cpus) : 122.875 0.49/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s 0.49/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s 0.49/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s 0.49/0.71 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s 0.50/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.50/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s 42.25/5.93 % Solved by lams/20_acsne_simpl.sh. 42.25/5.93 % running E: timeout 13 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.3UAmBntb2m/e_inputfa34a8 --cpu-limit=11 --auto -s -p 42.25/5.93 % done 1063 iterations in 4.122s 42.25/5.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 42.25/5.93 % SZS output start Refutation 42.25/5.93 thf(mu_type, type, mu: $tType). 42.25/5.93 thf('#sk2_type', type, '#sk2': $i). 42.25/5.93 thf(n3_type, type, n3: mu). 42.25/5.93 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 42.25/5.93 thf(n0_type, type, n0: mu). 42.25/5.93 thf(n999_type, type, n999: mu). 42.25/5.93 thf('#form33_type', type, '#form33': $o). 42.25/5.93 thf(a_select3_type, type, a_select3: mu > mu > mu > mu). 42.25/5.93 thf('#sk39_type', type, '#sk39': $i). 42.25/5.93 thf('#sk78_type', type, '#sk78': $i). 42.25/5.93 thf('#form44_type', type, '#form44': $o). 42.25/5.93 thf('#sk75_type', type, '#sk75': $i). 42.25/5.93 thf(sigma_defuse_type, type, sigma_defuse: mu). 42.25/5.93 thf('#sk26_type', type, '#sk26': mu > $i > $i). 42.25/5.93 thf('#sk61_type', type, '#sk61': $i). 42.25/5.93 thf('#form21_type', type, '#form21': $o). 42.25/5.93 thf('#sk68_type', type, '#sk68': $i). 42.25/5.93 thf('#sk70_type', type, '#sk70': $i). 42.25/5.93 thf(n4_type, type, n4: mu). 42.25/5.93 thf('#sk45_type', type, '#sk45': $i). 42.25/5.93 thf('#form48_type', type, '#form48': $o). 42.25/5.93 thf('#sk79_type', type, '#sk79': $i). 42.25/5.93 thf(n2_type, type, n2: mu). 42.25/5.93 thf('#sk34_type', type, '#sk34': $i). 42.25/5.93 thf('#form7_type', type, '#form7': $o). 42.25/5.93 thf('#sk31_type', type, '#sk31': $i). 42.25/5.93 thf('#form35_type', type, '#form35': mu > mu > $i > $o). 42.25/5.93 thf(use_type, type, use: mu). 42.25/5.93 thf('#form9_type', type, '#form9': $o). 42.25/5.93 thf('#sk57_type', type, '#sk57': $i). 42.25/5.93 thf('#form30_type', type, '#form30': $o). 42.25/5.93 thf('#sk1_type', type, '#sk1': $i). 42.25/5.93 thf('#sk59_type', type, '#sk59': $i). 42.25/5.93 thf('#sk51_type', type, '#sk51': $i). 42.25/5.93 thf('#sk53_type', type, '#sk53': $i). 42.25/5.93 thf(leq_type, type, leq: mu > mu > $i > $o). 42.25/5.93 thf(rho_defuse_type, type, rho_defuse: mu). 42.25/5.93 thf('#sk12_type', type, '#sk12': $i). 42.25/5.93 thf('#form52_type', type, '#form52': $o). 42.25/5.93 thf(xinit_defuse_type, type, xinit_defuse: mu). 42.25/5.93 thf('#sk55_type', type, '#sk55': $i). 42.25/5.93 thf(a_select2_type, type, a_select2: mu > mu > mu). 42.25/5.93 thf(qmltpeq_type, type, qmltpeq: mu > mu > $i > $o). 42.25/5.93 thf('#sk49_type', type, '#sk49': $i). 42.25/5.93 thf('#sk16_type', type, '#sk16': $i). 42.25/5.93 thf('#sk65_type', type, '#sk65': $i). 42.25/5.93 thf('#form46_type', type, '#form46': $o). 42.25/5.93 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 42.25/5.93 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 42.25/5.93 thf('#sk32_type', type, '#sk32': mu > $i > $i). 42.25/5.93 thf('#sk22_type', type, '#sk22': $i). 42.25/5.93 thf('#sk24_type', type, '#sk24': $i). 42.25/5.93 thf('#form42_type', type, '#form42': $o). 42.25/5.93 thf('#form15_type', type, '#form15': $o). 42.25/5.93 thf('#form38_type', type, '#form38': $o). 42.25/5.93 thf('#sk74_type', type, '#sk74': $i). 42.25/5.93 thf('#form27_type', type, '#form27': $o). 42.25/5.93 thf('#sk77_type', type, '#sk77': $i). 42.25/5.93 thf('#form23_type', type, '#form23': $o). 42.25/5.93 thf('#form64_type', type, '#form64': $o). 42.25/5.93 thf(pv5_type, type, pv5: mu). 42.25/5.93 thf('#form62_type', type, '#form62': $o). 42.25/5.93 thf('#sk10_type', type, '#sk10': $i). 42.25/5.93 thf(minus_type, type, minus: mu > mu > mu). 42.25/5.93 thf('#sk20_type', type, '#sk20': mu > $i > $i). 42.25/5.93 thf('#form54_type', type, '#form54': $o). 42.25/5.93 thf('#form36_type', type, '#form36': $o). 42.25/5.93 thf('#sk63_type', type, '#sk63': $i). 42.25/5.93 thf('#sk14_type', type, '#sk14': $i). 42.25/5.93 thf('#sk72_type', type, '#sk72': mu). 42.25/5.93 thf('#sk18_type', type, '#sk18': $i). 42.25/5.93 thf('#form13_type', type, '#form13': $o). 42.25/5.93 thf('#sk47_type', type, '#sk47': $i). 42.25/5.93 thf('#sk43_type', type, '#sk43': $i). 42.25/5.93 thf('#sk66_type', type, '#sk66': mu). 42.25/5.93 thf(mforall_ind_type, type, mforall_ind: (mu > $i > $o) > $i > $o). 42.25/5.93 thf(n5_type, type, n5: mu). 42.25/5.93 thf(rel_s4_type, type, rel_s4: $i > $i > $o). 42.25/5.93 thf('#form19_type', type, '#form19': mu > $i > $o). 42.25/5.93 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 42.25/5.93 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o). 42.25/5.93 thf(xinit_noise_defuse_type, type, xinit_noise_defuse: mu). 42.25/5.93 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o). 42.25/5.93 thf(n1_type, type, n1: mu). 42.25/5.93 thf('#sk71_type', type, '#sk71': $i). 42.25/5.93 thf('#form58_type', type, '#form58': $o). 42.25/5.93 thf('#sk76_type', type, '#sk76': $i). 42.25/5.93 thf('#sk29_type', type, '#sk29': mu > $i > $i). 42.25/5.93 thf(exists_in_world_type, type, exists_in_world: mu > $i > $o). 42.25/5.93 thf('#form25_type', type, '#form25': mu > $i > $o). 42.25/5.93 thf(xinit_mean_defuse_type, type, xinit_mean_defuse: mu). 42.25/5.93 thf('#sk8_type', type, '#sk8': $i). 42.25/5.93 thf('#form60_type', type, '#form60': $o). 42.25/5.93 thf('#sk37_type', type, '#sk37': $i). 42.25/5.93 thf('#form40_type', type, '#form40': $o). 42.25/5.93 thf('#sk3_type', type, '#sk3': $i). 42.25/5.93 thf(u_defuse_type, type, u_defuse: mu). 42.25/5.93 thf('#sk69_type', type, '#sk69': mu). 42.25/5.93 thf('#form5_type', type, '#form5': $o). 42.25/5.93 thf('#form67_type', type, '#form67': $o). 42.25/5.93 thf('#form11_type', type, '#form11': $o). 42.25/5.93 thf('#form17_type', type, '#form17': $o). 42.25/5.93 thf(z_defuse_type, type, z_defuse: mu). 42.25/5.93 thf('#sk73_type', type, '#sk73': mu). 42.25/5.93 thf('#sk28_type', type, '#sk28': $i). 42.25/5.93 thf('#form56_type', type, '#form56': $o). 42.25/5.93 thf('#form50_type', type, '#form50': $o). 42.25/5.93 thf('#sk41_type', type, '#sk41': $i). 42.25/5.93 thf('#sk4_type', type, '#sk4': $i). 42.25/5.93 thf('#sk6_type', type, '#sk6': $i). 42.25/5.93 thf(mbox_s4, axiom,(( mbox_s4 ) = 42.25/5.93 (^[Phi:( $i > $o ),W:$i]: 42.25/5.93 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) )))). 42.25/5.93 thf('0', plain, 42.25/5.93 (( mbox_s4 ) = 42.25/5.93 ( ^[Phi:( $i > $o ),W:$i]: 42.25/5.93 ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s4 @ W @ V ) ) ) ) )), 42.25/5.93 inference('simplify_rw_rule', [status(thm)], [mbox_s4])). 42.25/5.93 thf('1', plain, 42.25/5.93 (( mbox_s4 ) = 42.25/5.93 ( ^[V_1:( $i > $o ),V_2:$i]: 42.25/5.93 ( ![X4:$i]: ( ( V_1 @ X4 ) | ( ~( rel_s4 @ V_2 @ X4 ) ) ) ) )), 42.25/5.93 define([status(thm)])). 42.25/5.93 thf(mvalid, axiom,(( mvalid ) = 42.25/5.93 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 42.25/5.93 thf('2', plain, 42.25/5.93 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 42.25/5.93 inference('simplify_rw_rule', [status(thm)], [mvalid])). 42.25/5.93 thf('3', plain, 42.25/5.93 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 42.25/5.93 define([status(thm)])). 42.25/5.93 thf(mforall_ind, axiom,(( mforall_ind ) = 42.25/5.93 (^[Phi:( mu > $i > $o ),W:$i]: 42.25/5.93 ( ![X:mu]: ( ( exists_in_world @ X @ W ) => ( Phi @ X @ W ) ) )))). 42.25/5.93 thf('4', plain, 42.25/5.93 (( mforall_ind ) = 42.25/5.93 ( ^[Phi:( mu > $i > $o ),W:$i]: 42.25/5.93 ( ![X:mu]: ( ( exists_in_world @ X @ W ) => ( Phi @ X @ W ) ) ) )), 42.25/5.93 inference('simplify_rw_rule', [status(thm)], [mforall_ind])). 42.25/5.93 thf('5', plain, 42.25/5.93 (( mforall_ind ) = 42.25/5.93 ( ^[V_1:( mu > $i > $o ),V_2:$i]: 42.25/5.93 ( ![X4:mu]: ( ( exists_in_world @ X4 @ V_2 ) => ( V_1 @ X4 @ V_2 ) ) ) )), 42.25/5.93 define([status(thm)])). 42.25/5.93 thf(mimplies, axiom,(( mimplies ) = 42.25/5.93 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))). 42.25/5.93 thf(mor, axiom,(( mor ) = 42.25/5.93 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))). 42.25/5.93 thf('6', plain, 42.25/5.93 (( mor ) = 42.25/5.93 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )), 42.25/5.93 inference('simplify_rw_rule', [status(thm)], [mor])). 42.25/5.93 thf('7', plain, 42.25/5.93 (( mor ) = 42.25/5.93 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 42.25/5.93 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 42.25/5.93 define([status(thm)])). 42.25/5.93 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))). 42.25/5.93 thf('8', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )), 42.25/5.93 inference('simplify_rw_rule', [status(thm)], [mnot])). 42.25/5.93 thf('9', plain, 42.25/5.93 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 42.25/5.93 define([status(thm)])). 42.25/5.93 thf('10', plain, 42.25/5.93 (( mimplies ) = 42.25/5.93 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )), 42.25/5.93 inference('simplify_rw_rule', [status(thm)], [mimplies, '7', '9'])). 42.25/5.93 thf('11', plain, 42.25/5.93 (( mimplies ) = 42.25/5.93 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 42.25/5.93 define([status(thm)])). 42.25/5.93 thf(mand, axiom,(( mand ) = 42.25/5.93 (^[Phi:( $i > $o ),Psi:( $i > $o )]: 42.25/5.93 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) )))). 42.25/5.93 thf('12', plain, 42.25/5.93 (( mand ) = 42.25/5.93 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: 42.25/5.93 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) )), 42.25/5.93 inference('simplify_rw_rule', [status(thm)], [mand, '7', '9'])). 42.25/5.93 thf('13', plain, 42.25/5.93 (( mand ) = 42.25/5.93 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 42.25/5.93 ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) )), 42.25/5.93 define([status(thm)])). 42.25/5.93 thf(quaternion_ds1_inuse_0009, conjecture, 42.25/5.93 (mvalid @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( mimplies @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ sigma_defuse @ n5 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ xinit_defuse @ n3 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ xinit_defuse @ n4 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ xinit_defuse @ n5 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n0 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n1 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n2 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n3 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n4 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n5 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_noise_defuse @ 42.25/5.93 n0 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_noise_defuse @ 42.25/5.93 n1 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_noise_defuse @ 42.25/5.93 n2 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_noise_defuse @ 42.25/5.93 n3 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_noise_defuse @ 42.25/5.93 n4 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 42.25/5.93 @ 42.25/5.93 xinit_noise_defuse @ 42.25/5.93 n5 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( leq @ 42.25/5.93 n0 @ pv5 ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( 42.25/5.93 leq @ 42.25/5.93 pv5 @ 42.25/5.93 ( 42.25/5.93 minus @ 42.25/5.93 n999 @ n1 ) ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 mforall_ind 42.25/5.93 @ 42.25/5.93 ( 42.25/5.93 ^[ 42.25/5.93 A:mu]: 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 mforall_ind 42.25/5.93 @ 42.25/5.93 ( 42.25/5.93 ^[ 42.25/5.93 B:mu]: 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 mimplies @ 42.25/5.93 ( 42.25/5.93 mand @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 leq @ 42.25/5.93 n0 @ A ) ) @ 42.25/5.93 ( 42.25/5.93 mand @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 leq @ 42.25/5.93 n0 @ B ) ) @ 42.25/5.93 ( 42.25/5.93 mand @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 leq @ 42.25/5.93 A @ n2 ) ) @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 leq @ 42.25/5.93 B @ pv5 ) ) ) ) ) @ 42.25/5.93 ( 42.25/5.93 mand @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 qmltpeq @ 42.25/5.93 ( 42.25/5.93 a_select3 42.25/5.93 @ 42.25/5.93 u_defuse @ 42.25/5.93 A @ B ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 qmltpeq @ 42.25/5.93 ( 42.25/5.93 a_select3 42.25/5.93 @ 42.25/5.93 z_defuse @ 42.25/5.93 A @ B ) @ 42.25/5.93 use ) ) ) ) ) ) ) ) ) ) ) @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 mforall_ind 42.25/5.93 @ 42.25/5.93 ( 42.25/5.93 ^[ 42.25/5.93 C:mu]: 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 mforall_ind 42.25/5.93 @ 42.25/5.93 ( 42.25/5.93 ^[ 42.25/5.93 D:mu]: 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 mimplies @ 42.25/5.93 ( 42.25/5.93 mand @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 leq @ 42.25/5.93 n0 @ C ) ) @ 42.25/5.93 ( 42.25/5.93 mand @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 leq @ 42.25/5.93 n0 @ D ) ) @ 42.25/5.93 ( 42.25/5.93 mand @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 leq @ 42.25/5.93 C @ n2 ) ) @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 leq @ 42.25/5.93 D @ 42.25/5.93 ( 42.25/5.93 minus @ 42.25/5.93 pv5 @ n1 ) ) ) ) ) ) @ 42.25/5.93 ( 42.25/5.93 mand @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 qmltpeq @ 42.25/5.93 ( 42.25/5.93 a_select3 42.25/5.93 @ 42.25/5.93 u_defuse @ 42.25/5.93 C @ D ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( 42.25/5.93 mbox_s4 @ 42.25/5.93 ( 42.25/5.93 qmltpeq @ 42.25/5.93 ( 42.25/5.93 a_select3 42.25/5.93 @ 42.25/5.93 z_defuse @ 42.25/5.93 C @ D ) @ 42.25/5.93 use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ sigma_defuse @ n5 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ xinit_defuse @ n3 ) @ use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ xinit_defuse @ n4 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ xinit_defuse @ n5 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n0 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n1 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n2 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n3 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n4 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_mean_defuse @ n5 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_noise_defuse @ 42.25/5.93 n0 ) @ 42.25/5.93 use ) ) @ 42.25/5.93 ( mand @ 42.25/5.93 ( mbox_s4 @ 42.25/5.93 ( qmltpeq @ 42.25/5.93 ( a_select2 @ 42.25/5.93 xinit_noise_defuse @ 42.25/5.93 n1 ) @ 42.25/5.94 use ) ) @ 42.25/5.94 ( mand @ 42.25/5.94 ( mbox_s4 @ 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ 42.25/5.94 xinit_noise_defuse @ 42.25/5.94 n2 ) @ 42.25/5.94 use ) ) @ 42.25/5.94 ( mand @ 42.25/5.94 ( mbox_s4 @ 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ 42.25/5.94 xinit_noise_defuse @ 42.25/5.94 n3 ) @ 42.25/5.94 use ) ) @ 42.25/5.94 ( mand @ 42.25/5.94 ( mbox_s4 @ 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ 42.25/5.94 xinit_noise_defuse @ 42.25/5.94 n4 ) @ 42.25/5.94 use ) ) @ 42.25/5.94 ( mand @ 42.25/5.94 ( mbox_s4 @ 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 42.25/5.94 @ 42.25/5.94 xinit_noise_defuse @ 42.25/5.94 n5 ) @ 42.25/5.94 use ) ) @ 42.25/5.94 ( mand @ 42.25/5.94 ( mbox_s4 @ 42.25/5.94 ( leq @ 42.25/5.94 n0 @ pv5 ) ) @ 42.25/5.94 ( mand @ 42.25/5.94 ( mbox_s4 @ 42.25/5.94 ( 42.25/5.94 leq @ 42.25/5.94 pv5 @ 42.25/5.94 ( 42.25/5.94 minus @ 42.25/5.94 n999 @ n1 ) ) ) @ 42.25/5.94 ( mand @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 mforall_ind 42.25/5.94 @ 42.25/5.94 ( 42.25/5.94 ^[ 42.25/5.94 E:mu]: 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 mforall_ind 42.25/5.94 @ 42.25/5.94 ( 42.25/5.94 ^[ 42.25/5.94 F:mu]: 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 mimplies @ 42.25/5.94 ( 42.25/5.94 mand @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 leq @ 42.25/5.94 n0 @ E ) ) @ 42.25/5.94 ( 42.25/5.94 mand @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 leq @ 42.25/5.94 n0 @ F ) ) @ 42.25/5.94 ( 42.25/5.94 mand @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 leq @ 42.25/5.94 E @ n2 ) ) @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 leq @ 42.25/5.94 F @ pv5 ) ) ) ) ) @ 42.25/5.94 ( 42.25/5.94 mand @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 42.25/5.94 @ 42.25/5.94 u_defuse @ 42.25/5.94 E @ F ) @ 42.25/5.94 use ) ) @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 42.25/5.94 @ 42.25/5.94 z_defuse @ 42.25/5.94 E @ F ) @ 42.25/5.94 use ) ) ) ) ) ) ) ) ) ) ) @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 mforall_ind 42.25/5.94 @ 42.25/5.94 ( 42.25/5.94 ^[ 42.25/5.94 G:mu]: 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 mforall_ind 42.25/5.94 @ 42.25/5.94 ( 42.25/5.94 ^[ 42.25/5.94 H:mu]: 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 mimplies @ 42.25/5.94 ( 42.25/5.94 mand @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 leq @ 42.25/5.94 n0 @ G ) ) @ 42.25/5.94 ( 42.25/5.94 mand @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 leq @ 42.25/5.94 n0 @ H ) ) @ 42.25/5.94 ( 42.25/5.94 mand @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 leq @ 42.25/5.94 G @ n2 ) ) @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 leq @ 42.25/5.94 H @ 42.25/5.94 ( 42.25/5.94 minus @ 42.25/5.94 pv5 @ n1 ) ) ) ) ) ) @ 42.25/5.94 ( 42.25/5.94 mand @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 42.25/5.94 @ 42.25/5.94 u_defuse @ 42.25/5.94 G @ H ) @ 42.25/5.94 use ) ) @ 42.25/5.94 ( 42.25/5.94 mbox_s4 @ 42.25/5.94 ( 42.25/5.94 qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 42.25/5.94 @ 42.25/5.94 z_defuse @ 42.25/5.94 G @ H ) @ 42.25/5.94 use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 42.25/5.94 thf(zf_stmt_0, conjecture, 42.25/5.94 (![X4:$i,X6:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X4 @ X6 ) ) | 42.25/5.94 ( ~( ( ~( ![X112:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X112 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use @ X112 ) ) ) ) | 42.25/5.94 ( ~( ![X116:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X116 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use @ X116 ) ) ) ) | 42.25/5.94 ( ~( ![X120:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X120 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use @ X120 ) ) ) ) | 42.25/5.94 ( ~( ![X124:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X124 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use @ X124 ) ) ) ) | 42.25/5.94 ( ~( ![X128:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X128 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use @ X128 ) ) ) ) | 42.25/5.94 ( ~( ![X132:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X132 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use @ X132 ) ) ) ) | 42.25/5.94 ( ~( ![X136:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X136 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use @ X136 ) ) ) ) | 42.25/5.94 ( ~( ![X140:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X140 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n0 ) @ use @ X140 ) ) ) ) | 42.25/5.94 ( ~( ![X144:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X144 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n2 ) @ use @ X144 ) ) ) ) | 42.25/5.94 ( ~( ![X148:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X148 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n4 ) @ use @ X148 ) ) ) ) | 42.25/5.94 ( ~( ![X152:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X152 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n0 ) @ use @ X152 ) ) ) ) | 42.25/5.94 ( ~( ![X156:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X156 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n2 ) @ use @ X156 ) ) ) ) | 42.25/5.94 ( ~( ![X160:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X160 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n4 ) @ use @ X160 ) ) ) ) | 42.25/5.94 ( ~( ![X164:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X164 ) ) | ( leq @ n0 @ pv5 @ X164 ) ) ) ) | 42.25/5.94 ( ~( ![X168:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X168 ) ) | 42.25/5.94 ( ![X170:mu]: 42.25/5.94 ( ( exists_in_world @ X170 @ X168 ) => 42.25/5.94 ( ![X172:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X168 @ X172 ) ) | 42.25/5.94 ( ![X174:mu]: 42.25/5.94 ( ( exists_in_world @ X174 @ X172 ) => 42.25/5.94 ( ![X176:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X172 @ X176 ) ) | 42.25/5.94 ( ~( ( ~( ![X188:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X188 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 z_defuse @ X170 @ X174 ) @ 42.25/5.94 use @ X188 ) ) ) ) | 42.25/5.94 ( ~( ![X186:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X186 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 u_defuse @ X170 @ X174 ) @ 42.25/5.94 use @ X186 ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X178:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X178 ) ) | 42.25/5.94 ( leq @ n0 @ X170 @ X178 ) ) ) ) | 42.25/5.94 ( ~( ![X182:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X182 ) ) | 42.25/5.94 ( leq @ X170 @ n2 @ X182 ) ) ) ) | 42.25/5.94 ( ~( ![X184:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X184 ) ) | 42.25/5.94 ( leq @ X174 @ pv5 @ X184 ) ) ) ) | 42.25/5.94 ( ~( ![X180:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X180 ) ) | 42.25/5.94 ( leq @ n0 @ X174 @ X180 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X190:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X190 ) ) | 42.25/5.94 ( ![X192:mu]: 42.25/5.94 ( ( exists_in_world @ X192 @ X190 ) => 42.25/5.94 ( ![X194:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X190 @ X194 ) ) | 42.25/5.94 ( ![X196:mu]: 42.25/5.94 ( ( exists_in_world @ X196 @ X194 ) => 42.25/5.94 ( ![X198:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X194 @ X198 ) ) | 42.25/5.94 ( ~( ( ~( ![X210:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X210 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 z_defuse @ X192 @ X196 ) @ 42.25/5.94 use @ X210 ) ) ) ) | 42.25/5.94 ( ~( ![X208:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X208 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 u_defuse @ X192 @ X196 ) @ 42.25/5.94 use @ X208 ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X200:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X200 ) ) | 42.25/5.94 ( leq @ n0 @ X192 @ X200 ) ) ) ) | 42.25/5.94 ( ~( ![X204:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X204 ) ) | 42.25/5.94 ( leq @ X192 @ n2 @ X204 ) ) ) ) | 42.25/5.94 ( ~( ![X206:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X206 ) ) | 42.25/5.94 ( leq @ 42.25/5.94 X196 @ ( minus @ pv5 @ n1 ) @ X206 ) ) ) ) | 42.25/5.94 ( ~( ![X202:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X202 ) ) | 42.25/5.94 ( leq @ n0 @ X196 @ X202 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X166:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X166 ) ) | 42.25/5.94 ( leq @ pv5 @ ( minus @ n999 @ n1 ) @ X166 ) ) ) ) | 42.25/5.94 ( ~( ![X162:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X162 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n5 ) @ use @ X162 ) ) ) ) | 42.25/5.94 ( ~( ![X158:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X158 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n3 ) @ use @ X158 ) ) ) ) | 42.25/5.94 ( ~( ![X154:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X154 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n1 ) @ use @ X154 ) ) ) ) | 42.25/5.94 ( ~( ![X150:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X150 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n5 ) @ use @ X150 ) ) ) ) | 42.25/5.94 ( ~( ![X146:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X146 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n3 ) @ use @ X146 ) ) ) ) | 42.25/5.94 ( ~( ![X142:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X142 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n1 ) @ use @ X142 ) ) ) ) | 42.25/5.94 ( ~( ![X138:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X138 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use @ X138 ) ) ) ) | 42.25/5.94 ( ~( ![X134:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X134 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use @ X134 ) ) ) ) | 42.25/5.94 ( ~( ![X130:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X130 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use @ X130 ) ) ) ) | 42.25/5.94 ( ~( ![X126:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X126 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use @ X126 ) ) ) ) | 42.25/5.94 ( ~( ![X122:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X122 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use @ X122 ) ) ) ) | 42.25/5.94 ( ~( ![X118:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X118 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use @ X118 ) ) ) ) | 42.25/5.94 ( ~( ![X114:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X114 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use @ X114 ) ) ) ) | 42.25/5.94 ( ~( ![X110:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X110 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use @ X110 ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X8:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X8 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use @ X8 ) ) ) ) | 42.25/5.94 ( ~( ![X12:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X12 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use @ X12 ) ) ) ) | 42.25/5.94 ( ~( ![X16:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X16 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use @ X16 ) ) ) ) | 42.25/5.94 ( ~( ![X20:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X20 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use @ X20 ) ) ) ) | 42.25/5.94 ( ~( ![X24:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X24 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use @ X24 ) ) ) ) | 42.25/5.94 ( ~( ![X28:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X28 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use @ X28 ) ) ) ) | 42.25/5.94 ( ~( ![X32:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X32 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use @ X32 ) ) ) ) | 42.25/5.94 ( ~( ![X36:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X36 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use @ X36 ) ) ) ) | 42.25/5.94 ( ~( ![X40:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X40 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use @ X40 ) ) ) ) | 42.25/5.94 ( ~( ![X44:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X44 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use @ X44 ) ) ) ) | 42.25/5.94 ( ~( ![X48:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X48 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use @ X48 ) ) ) ) | 42.25/5.94 ( ~( ![X52:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X52 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use @ X52 ) ) ) ) | 42.25/5.94 ( ~( ![X56:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X56 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use @ X56 ) ) ) ) | 42.25/5.94 ( ~( ![X60:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X60 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use @ X60 ) ) ) ) | 42.25/5.94 ( ~( ![X64:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X64 ) ) | 42.25/5.94 ( leq @ pv5 @ ( minus @ n999 @ n1 ) @ X64 ) ) ) ) | 42.25/5.94 ( ~( ![X88:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X88 ) ) | 42.25/5.94 ( ![X90:mu]: 42.25/5.94 ( ( exists_in_world @ X90 @ X88 ) => 42.25/5.94 ( ![X92:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X88 @ X92 ) ) | 42.25/5.94 ( ![X94:mu]: 42.25/5.94 ( ( exists_in_world @ X94 @ X92 ) => 42.25/5.94 ( ![X96:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X92 @ X96 ) ) | 42.25/5.94 ( ~( ( ~( ![X108:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X108 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ z_defuse @ X90 @ X94 ) @ 42.25/5.94 use @ X108 ) ) ) ) | 42.25/5.94 ( ~( ![X106:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X106 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ u_defuse @ X90 @ X94 ) @ 42.25/5.94 use @ X106 ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X98:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X98 ) ) | 42.25/5.94 ( leq @ n0 @ X90 @ X98 ) ) ) ) | 42.25/5.94 ( ~( ![X102:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X102 ) ) | 42.25/5.94 ( leq @ X90 @ n2 @ X102 ) ) ) ) | 42.25/5.94 ( ~( ![X104:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X104 ) ) | 42.25/5.94 ( leq @ X94 @ ( minus @ pv5 @ n1 ) @ X104 ) ) ) ) | 42.25/5.94 ( ~( ![X100:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X100 ) ) | 42.25/5.94 ( leq @ n0 @ X94 @ X100 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X66:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X66 ) ) | 42.25/5.94 ( ![X68:mu]: 42.25/5.94 ( ( exists_in_world @ X68 @ X66 ) => 42.25/5.94 ( ![X70:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X66 @ X70 ) ) | 42.25/5.94 ( ![X72:mu]: 42.25/5.94 ( ( exists_in_world @ X72 @ X70 ) => 42.25/5.94 ( ![X74:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X70 @ X74 ) ) | 42.25/5.94 ( ~( ( ~( ![X86:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X86 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ z_defuse @ X68 @ X72 ) @ 42.25/5.94 use @ X86 ) ) ) ) | 42.25/5.94 ( ~( ![X84:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X84 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ u_defuse @ X68 @ X72 ) @ 42.25/5.94 use @ X84 ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X76:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X76 ) ) | 42.25/5.94 ( leq @ n0 @ X68 @ X76 ) ) ) ) | 42.25/5.94 ( ~( ![X80:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X80 ) ) | 42.25/5.94 ( leq @ X68 @ n2 @ X80 ) ) ) ) | 42.25/5.94 ( ~( ![X82:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X82 ) ) | 42.25/5.94 ( leq @ X72 @ pv5 @ X82 ) ) ) ) | 42.25/5.94 ( ~( ![X78:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X78 ) ) | 42.25/5.94 ( leq @ n0 @ X72 @ X78 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X62:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X62 ) ) | ( leq @ n0 @ pv5 @ X62 ) ) ) ) | 42.25/5.94 ( ~( ![X58:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X58 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use @ X58 ) ) ) ) | 42.25/5.94 ( ~( ![X54:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X54 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use @ X54 ) ) ) ) | 42.25/5.94 ( ~( ![X50:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X50 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use @ X50 ) ) ) ) | 42.25/5.94 ( ~( ![X46:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X46 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use @ X46 ) ) ) ) | 42.25/5.94 ( ~( ![X42:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X42 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use @ X42 ) ) ) ) | 42.25/5.94 ( ~( ![X38:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X38 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use @ X38 ) ) ) ) | 42.25/5.94 ( ~( ![X34:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X34 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use @ X34 ) ) ) ) | 42.25/5.94 ( ~( ![X30:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X30 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use @ X30 ) ) ) ) | 42.25/5.94 ( ~( ![X26:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X26 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use @ X26 ) ) ) ) | 42.25/5.94 ( ~( ![X22:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X22 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use @ X22 ) ) ) ) | 42.25/5.94 ( ~( ![X18:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X18 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use @ X18 ) ) ) ) | 42.25/5.94 ( ~( ![X14:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X14 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use @ X14 ) ) ) ) | 42.25/5.94 ( ~( ![X10:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X10 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use @ X10 ) ) ) ) ))). 42.25/5.94 thf(zf_stmt_1, negated_conjecture, 42.25/5.94 (~( ![X4:$i,X6:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X4 @ X6 ) ) | 42.25/5.94 ( ~( ( ~( ![X112:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X112 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use @ X112 ) ) ) ) | 42.25/5.94 ( ~( ![X116:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X116 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ sigma_defuse @ n0 ) @ use @ X116 ) ) ) ) | 42.25/5.94 ( ~( ![X120:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X120 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ sigma_defuse @ n2 ) @ use @ X120 ) ) ) ) | 42.25/5.94 ( ~( ![X124:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X124 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ sigma_defuse @ n4 ) @ use @ X124 ) ) ) ) | 42.25/5.94 ( ~( ![X128:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X128 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ u_defuse @ n0 @ n0 ) @ use @ X128 ) ) ) ) | 42.25/5.94 ( ~( ![X132:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X132 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ u_defuse @ n2 @ n0 ) @ use @ X132 ) ) ) ) | 42.25/5.94 ( ~( ![X136:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X136 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_defuse @ n4 ) @ use @ X136 ) ) ) ) | 42.25/5.94 ( ~( ![X140:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X140 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n0 ) @ use @ X140 ) ) ) ) | 42.25/5.94 ( ~( ![X144:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X144 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n2 ) @ use @ X144 ) ) ) ) | 42.25/5.94 ( ~( ![X148:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X148 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n4 ) @ use @ X148 ) ) ) ) | 42.25/5.94 ( ~( ![X152:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X152 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n0 ) @ use @ X152 ) ) ) ) | 42.25/5.94 ( ~( ![X156:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X156 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n2 ) @ use @ X156 ) ) ) ) | 42.25/5.94 ( ~( ![X160:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X160 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n4 ) @ use @ X160 ) ) ) ) | 42.25/5.94 ( ~( ![X164:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X164 ) ) | ( leq @ n0 @ pv5 @ X164 ) ) ) ) | 42.25/5.94 ( ~( ![X168:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X168 ) ) | 42.25/5.94 ( ![X170:mu]: 42.25/5.94 ( ( exists_in_world @ X170 @ X168 ) => 42.25/5.94 ( ![X172:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X168 @ X172 ) ) | 42.25/5.94 ( ![X174:mu]: 42.25/5.94 ( ( exists_in_world @ X174 @ X172 ) => 42.25/5.94 ( ![X176:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X172 @ X176 ) ) | 42.25/5.94 ( ~( ( ~( ![X188:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X188 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 z_defuse @ X170 @ X174 ) @ 42.25/5.94 use @ X188 ) ) ) ) | 42.25/5.94 ( ~( ![X186:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X186 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 u_defuse @ X170 @ X174 ) @ 42.25/5.94 use @ X186 ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X178:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X178 ) ) | 42.25/5.94 ( leq @ n0 @ X170 @ X178 ) ) ) ) | 42.25/5.94 ( ~( ![X182:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X182 ) ) | 42.25/5.94 ( leq @ X170 @ n2 @ X182 ) ) ) ) | 42.25/5.94 ( ~( ![X184:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X184 ) ) | 42.25/5.94 ( leq @ X174 @ pv5 @ X184 ) ) ) ) | 42.25/5.94 ( ~( ![X180:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X176 @ X180 ) ) | 42.25/5.94 ( leq @ n0 @ X174 @ X180 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X190:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X190 ) ) | 42.25/5.94 ( ![X192:mu]: 42.25/5.94 ( ( exists_in_world @ X192 @ X190 ) => 42.25/5.94 ( ![X194:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X190 @ X194 ) ) | 42.25/5.94 ( ![X196:mu]: 42.25/5.94 ( ( exists_in_world @ X196 @ X194 ) => 42.25/5.94 ( ![X198:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X194 @ X198 ) ) | 42.25/5.94 ( ~( ( ~( ![X210:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X210 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 z_defuse @ X192 @ X196 ) @ 42.25/5.94 use @ X210 ) ) ) ) | 42.25/5.94 ( ~( ![X208:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X208 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 u_defuse @ X192 @ X196 ) @ 42.25/5.94 use @ X208 ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X200:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X200 ) ) | 42.25/5.94 ( leq @ n0 @ X192 @ X200 ) ) ) ) | 42.25/5.94 ( ~( ![X204:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X204 ) ) | 42.25/5.94 ( leq @ X192 @ n2 @ X204 ) ) ) ) | 42.25/5.94 ( ~( ![X206:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X206 ) ) | 42.25/5.94 ( leq @ 42.25/5.94 X196 @ ( minus @ pv5 @ n1 ) @ 42.25/5.94 X206 ) ) ) ) | 42.25/5.94 ( ~( ![X202:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X198 @ X202 ) ) | 42.25/5.94 ( leq @ n0 @ X196 @ X202 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X166:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X166 ) ) | 42.25/5.94 ( leq @ pv5 @ ( minus @ n999 @ n1 ) @ X166 ) ) ) ) | 42.25/5.94 ( ~( ![X162:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X162 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n5 ) @ use @ X162 ) ) ) ) | 42.25/5.94 ( ~( ![X158:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X158 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n3 ) @ use @ X158 ) ) ) ) | 42.25/5.94 ( ~( ![X154:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X154 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n1 ) @ use @ X154 ) ) ) ) | 42.25/5.94 ( ~( ![X150:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X150 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n5 ) @ use @ X150 ) ) ) ) | 42.25/5.94 ( ~( ![X146:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X146 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n3 ) @ use @ X146 ) ) ) ) | 42.25/5.94 ( ~( ![X142:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X142 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_mean_defuse @ n1 ) @ use @ X142 ) ) ) ) | 42.25/5.94 ( ~( ![X138:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X138 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_defuse @ n5 ) @ use @ X138 ) ) ) ) | 42.25/5.94 ( ~( ![X134:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X134 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_defuse @ n3 ) @ use @ X134 ) ) ) ) | 42.25/5.94 ( ~( ![X130:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X130 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ u_defuse @ n1 @ n0 ) @ use @ X130 ) ) ) ) | 42.25/5.94 ( ~( ![X126:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X126 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ sigma_defuse @ n5 ) @ use @ X126 ) ) ) ) | 42.25/5.94 ( ~( ![X122:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X122 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ sigma_defuse @ n3 ) @ use @ X122 ) ) ) ) | 42.25/5.94 ( ~( ![X118:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X118 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ sigma_defuse @ n1 ) @ use @ X118 ) ) ) ) | 42.25/5.94 ( ~( ![X114:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X114 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use @ X114 ) ) ) ) | 42.25/5.94 ( ~( ![X110:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X110 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use @ X110 ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X8:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X8 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use @ X8 ) ) ) ) | 42.25/5.94 ( ~( ![X12:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X12 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use @ X12 ) ) ) ) | 42.25/5.94 ( ~( ![X16:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X16 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use @ X16 ) ) ) ) | 42.25/5.94 ( ~( ![X20:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X20 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use @ X20 ) ) ) ) | 42.25/5.94 ( ~( ![X24:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X24 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use @ X24 ) ) ) ) | 42.25/5.94 ( ~( ![X28:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X28 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use @ X28 ) ) ) ) | 42.25/5.94 ( ~( ![X32:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X32 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use @ X32 ) ) ) ) | 42.25/5.94 ( ~( ![X36:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X36 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use @ X36 ) ) ) ) | 42.25/5.94 ( ~( ![X40:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X40 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use @ X40 ) ) ) ) | 42.25/5.94 ( ~( ![X44:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X44 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use @ X44 ) ) ) ) | 42.25/5.94 ( ~( ![X48:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X48 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use @ X48 ) ) ) ) | 42.25/5.94 ( ~( ![X52:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X52 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n1 ) @ use @ X52 ) ) ) ) | 42.25/5.94 ( ~( ![X56:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X56 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n3 ) @ use @ X56 ) ) ) ) | 42.25/5.94 ( ~( ![X60:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X60 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n5 ) @ use @ X60 ) ) ) ) | 42.25/5.94 ( ~( ![X64:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X64 ) ) | 42.25/5.94 ( leq @ pv5 @ ( minus @ n999 @ n1 ) @ X64 ) ) ) ) | 42.25/5.94 ( ~( ![X88:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X88 ) ) | 42.25/5.94 ( ![X90:mu]: 42.25/5.94 ( ( exists_in_world @ X90 @ X88 ) => 42.25/5.94 ( ![X92:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X88 @ X92 ) ) | 42.25/5.94 ( ![X94:mu]: 42.25/5.94 ( ( exists_in_world @ X94 @ X92 ) => 42.25/5.94 ( ![X96:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X92 @ X96 ) ) | 42.25/5.94 ( ~( ( ~( ![X108:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X108 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 z_defuse @ X90 @ X94 ) @ 42.25/5.94 use @ X108 ) ) ) ) | 42.25/5.94 ( ~( ![X106:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X106 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 u_defuse @ X90 @ X94 ) @ 42.25/5.94 use @ X106 ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X98:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X98 ) ) | 42.25/5.94 ( leq @ n0 @ X90 @ X98 ) ) ) ) | 42.25/5.94 ( ~( ![X102:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X102 ) ) | 42.25/5.94 ( leq @ X90 @ n2 @ X102 ) ) ) ) | 42.25/5.94 ( ~( ![X104:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X104 ) ) | 42.25/5.94 ( leq @ 42.25/5.94 X94 @ ( minus @ pv5 @ n1 ) @ X104 ) ) ) ) | 42.25/5.94 ( ~( ![X100:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X96 @ X100 ) ) | 42.25/5.94 ( leq @ n0 @ X94 @ X100 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X66:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X66 ) ) | 42.25/5.94 ( ![X68:mu]: 42.25/5.94 ( ( exists_in_world @ X68 @ X66 ) => 42.25/5.94 ( ![X70:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X66 @ X70 ) ) | 42.25/5.94 ( ![X72:mu]: 42.25/5.94 ( ( exists_in_world @ X72 @ X70 ) => 42.25/5.94 ( ![X74:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X70 @ X74 ) ) | 42.25/5.94 ( ~( ( ~( ![X86:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X86 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 z_defuse @ X68 @ X72 ) @ 42.25/5.94 use @ X86 ) ) ) ) | 42.25/5.94 ( ~( ![X84:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X84 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select3 @ 42.25/5.94 u_defuse @ X68 @ X72 ) @ 42.25/5.94 use @ X84 ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X76:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X76 ) ) | 42.25/5.94 ( leq @ n0 @ X68 @ X76 ) ) ) ) | 42.25/5.94 ( ~( ![X80:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X80 ) ) | 42.25/5.94 ( leq @ X68 @ n2 @ X80 ) ) ) ) | 42.25/5.94 ( ~( ![X82:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X82 ) ) | 42.25/5.94 ( leq @ X72 @ pv5 @ X82 ) ) ) ) | 42.25/5.94 ( ~( ![X78:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X74 @ X78 ) ) | 42.25/5.94 ( leq @ n0 @ X72 @ X78 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) | 42.25/5.94 ( ~( ![X62:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X62 ) ) | ( leq @ n0 @ pv5 @ X62 ) ) ) ) | 42.25/5.94 ( ~( ![X58:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X58 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n4 ) @ use @ X58 ) ) ) ) | 42.25/5.94 ( ~( ![X54:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X54 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n2 ) @ use @ X54 ) ) ) ) | 42.25/5.94 ( ~( ![X50:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X50 ) ) | 42.25/5.94 ( qmltpeq @ 42.25/5.94 ( a_select2 @ xinit_noise_defuse @ n0 ) @ use @ X50 ) ) ) ) | 42.25/5.94 ( ~( ![X46:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X46 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use @ X46 ) ) ) ) | 42.25/5.94 ( ~( ![X42:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X42 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use @ X42 ) ) ) ) | 42.25/5.94 ( ~( ![X38:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X38 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use @ X38 ) ) ) ) | 42.25/5.94 ( ~( ![X34:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X34 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use @ X34 ) ) ) ) | 42.25/5.94 ( ~( ![X30:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X30 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use @ X30 ) ) ) ) | 42.25/5.94 ( ~( ![X26:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X26 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use @ X26 ) ) ) ) | 42.25/5.94 ( ~( ![X22:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X22 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use @ X22 ) ) ) ) | 42.25/5.94 ( ~( ![X18:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X18 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use @ X18 ) ) ) ) | 42.25/5.94 ( ~( ![X14:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X14 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use @ X14 ) ) ) ) | 42.25/5.94 ( ~( ![X10:$i]: 42.25/5.94 ( ( ~( rel_s4 @ X6 @ X10 ) ) | 42.25/5.94 ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use @ X10 ) ) ) ) ) )), 42.25/5.94 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 42.25/5.94 thf(zip_derived_cl0, plain, 42.25/5.94 (~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (((~) @ (((((~) @ (((!!) @ (^[Y2 : $i]: 42.25/5.94 (((((~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y1 @ Y2))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ 42.25/5.94 rho_defuse @ 42.25/5.94 n1) @ 42.25/5.94 use @ Y2)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y2 : $i]: 42.25/5.94 (((((~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y1 @ Y2))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ 42.25/5.94 sigma_defuse @ 42.25/5.94 n0) @ 42.25/5.94 use @ Y2)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y2 : $i]: 42.25/5.94 (((((~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y1 @ Y2))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ 42.25/5.94 sigma_defuse @ 42.25/5.94 n2) @ 42.25/5.94 use @ Y2)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y2 : $i]: 42.25/5.94 (((((~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y1 @ Y2))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ 42.25/5.94 sigma_defuse @ 42.25/5.94 n4) @ 42.25/5.94 use @ Y2)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y2 : $i]: 42.25/5.94 (((((~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y1 @ Y2))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select3 @ 42.25/5.94 u_defuse @ 42.25/5.94 n0 @ n0) @ 42.25/5.94 use @ Y2)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y2 : $i]: 42.25/5.94 (((((~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y1 @ Y2))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select3 @ 42.25/5.94 u_defuse @ 42.25/5.94 n2 @ n0) @ 42.25/5.94 use @ Y2)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y2 : $i]: 42.25/5.94 (((((~) 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42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y6 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y5 @ Y6))) | 42.25/5.94 (leq @ 42.25/5.94 n0 @ 42.25/5.94 Y2 @ Y6)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y6 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y5 @ Y6))) | 42.25/5.94 (leq @ 42.25/5.94 Y2 @ 42.25/5.94 n2 @ Y6)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y6 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y5 @ Y6))) | 42.25/5.94 (leq @ 42.25/5.94 Y4 @ 42.25/5.94 ( 42.25/5.94 minus @ 42.25/5.94 pv5 @ n1) @ 42.25/5.94 Y6)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y6 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y5 @ Y6))) | 42.25/5.94 (leq @ 42.25/5.94 n0 @ 42.25/5.94 Y4 @ Y6))))))))))))))))))))))))))))))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (((!!) @ (^[Y2 : mu]: 42.25/5.94 (((exists_in_world @ 42.25/5.94 Y2 @ Y1) => 42.25/5.94 (((!!) @ (^[Y3 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y1 @ Y3))) | 42.25/5.94 (( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y4 : mu]: 42.25/5.94 (( 42.25/5.94 (exists_in_world @ 42.25/5.94 Y4 @ 42.25/5.94 Y3) => 42.25/5.94 (( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y3 @ Y5))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y6 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y5 @ Y6))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 @ 42.25/5.94 z_defuse @ 42.25/5.94 Y2 @ Y4) @ 42.25/5.94 use @ Y6)))))))) | 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y6 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y5 @ Y6))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 @ 42.25/5.94 u_defuse @ 42.25/5.94 Y2 @ Y4) @ 42.25/5.94 use @ Y6)))))))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y6 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y5 @ Y6))) | 42.25/5.94 (leq @ 42.25/5.94 n0 @ 42.25/5.94 Y2 @ Y6)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y6 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y5 @ Y6))) | 42.25/5.94 (leq @ 42.25/5.94 Y2 @ 42.25/5.94 n2 @ Y6)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y6 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y5 @ Y6))) | 42.25/5.94 (leq @ 42.25/5.94 Y4 @ 42.25/5.94 pv5 @ Y6)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y6 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y5 @ Y6))) | 42.25/5.94 (leq @ 42.25/5.94 n0 @ 42.25/5.94 Y4 @ Y6))))))))))))))))))))))))))))))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (leq @ n0 @ pv5 @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_noise_defuse @ 42.25/5.94 n4) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_noise_defuse @ 42.25/5.94 n2) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_noise_defuse @ 42.25/5.94 n0) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_mean_defuse @ 42.25/5.94 n4) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_mean_defuse @ 42.25/5.94 n2) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_mean_defuse @ 42.25/5.94 n0) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_defuse @ n4) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select3 @ u_defuse @ n2 @ n0) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select3 @ u_defuse @ n0 @ n0) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ sigma_defuse @ n4) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ sigma_defuse @ n2) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ sigma_defuse @ n0) @ 42.25/5.94 use @ Y1)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y1 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ rho_defuse @ n1) @ 42.25/5.94 use @ Y1)))))))))))))), 42.25/5.94 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 42.25/5.94 thf(zip_derived_cl2, plain, 42.25/5.94 (~ (((((~) @ (rel_s4 @ '#sk1' @ '#sk2'))) | 42.25/5.94 (((~) @ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ rho_defuse @ n1) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ sigma_defuse @ n0) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ sigma_defuse @ n2) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ sigma_defuse @ n4) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select3 @ u_defuse @ n0 @ n0) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select3 @ u_defuse @ n2 @ n0) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_defuse @ n4) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_mean_defuse @ n0) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_mean_defuse @ n2) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_mean_defuse @ n4) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_noise_defuse @ n0) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_noise_defuse @ n2) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_noise_defuse @ n4) @ 42.25/5.94 use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (leq @ n0 @ pv5 @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (((!!) @ (^[Y1 : mu]: 42.25/5.94 (((exists_in_world @ 42.25/5.94 Y1 @ Y0) => 42.25/5.94 (((!!) @ (^[Y2 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y0 @ Y2))) | 42.25/5.94 (( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y3 : mu]: 42.25/5.94 (( 42.25/5.94 (exists_in_world @ 42.25/5.94 Y3 @ 42.25/5.94 Y2) => 42.25/5.94 (( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y4 : $i]: 42.25/5.94 (( 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y2 @ Y4))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 @ 42.25/5.94 z_defuse @ 42.25/5.94 Y1 @ Y3) @ 42.25/5.94 use @ Y5)))))))) | 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 @ 42.25/5.94 u_defuse @ 42.25/5.94 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sigma_defuse @ n1) @ use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))))) | 42.25/5.94 (((~) @ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ rho_defuse @ n0) @ use @ Y0))))))))))), 42.25/5.94 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.25/5.94 thf(zip_derived_cl36, plain, 42.25/5.94 ((~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ rho_defuse @ n1) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ sigma_defuse @ n0) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ sigma_defuse @ n2) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.94 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.94 Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (((!!) @ (^[Y1 : mu]: 42.25/5.94 (((exists_in_world @ Y1 @ Y0) => 42.25/5.94 (((!!) @ (^[Y2 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.94 (((!!) @ (^[Y3 : mu]: 42.25/5.94 (((exists_in_world @ 42.25/5.94 Y3 @ Y2) => 42.25/5.94 (((!!) @ ( 42.25/5.94 ^[Y4 : $i]: 42.25/5.94 (( 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y2 @ Y4))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 @ 42.25/5.94 z_defuse @ 42.25/5.94 Y1 @ Y3) @ 42.25/5.94 use @ Y5)))))))) | 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 @ 42.25/5.94 u_defuse @ 42.25/5.94 Y1 @ Y3) @ 42.25/5.94 use @ Y5)))))))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (leq @ 42.25/5.94 n0 @ 42.25/5.94 Y1 @ Y5)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (leq @ 42.25/5.94 Y1 @ 42.25/5.94 n2 @ Y5)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (leq @ 42.25/5.94 Y3 @ 42.25/5.94 pv5 @ Y5)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (leq @ 42.25/5.94 n0 @ 42.25/5.94 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.94 (((!!) @ (^[Y1 : mu]: 42.25/5.94 (((exists_in_world @ Y1 @ Y0) => 42.25/5.94 (((!!) @ (^[Y2 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.94 (((!!) @ (^[Y3 : mu]: 42.25/5.94 (((exists_in_world @ 42.25/5.94 Y3 @ Y2) => 42.25/5.94 (((!!) @ ( 42.25/5.94 ^[Y4 : $i]: 42.25/5.94 (( 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y2 @ Y4))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 @ 42.25/5.94 z_defuse @ 42.25/5.94 Y1 @ Y3) @ 42.25/5.94 use @ Y5)))))))) | 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (qmltpeq @ 42.25/5.94 ( 42.25/5.94 a_select3 @ 42.25/5.94 u_defuse @ 42.25/5.94 Y1 @ Y3) @ 42.25/5.94 use @ Y5)))))))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (leq @ 42.25/5.94 n0 @ 42.25/5.94 Y1 @ Y5)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (leq @ 42.25/5.94 Y1 @ 42.25/5.94 n2 @ Y5)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (leq @ 42.25/5.94 Y3 @ 42.25/5.94 ( 42.25/5.94 minus @ 42.25/5.94 pv5 @ n1) @ 42.25/5.94 Y5)))))))) | 42.25/5.94 ( 42.25/5.94 ( 42.25/5.94 (~) @ ( 42.25/5.94 ( 42.25/5.94 (!!) @ ( 42.25/5.94 ^[Y5 : $i]: 42.25/5.94 (( 42.25/5.94 (( 42.25/5.94 (~) @ ( 42.25/5.94 rel_s4 @ 42.25/5.94 Y4 @ Y5))) | 42.25/5.94 (leq @ 42.25/5.94 n0 @ 42.25/5.94 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.94 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.94 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.94 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))))), 42.25/5.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 42.25/5.95 thf(zip_derived_cl68, plain, 42.25/5.95 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk3'))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n1) @ use @ '#sk3'))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.95 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.95 (((!!) @ (^[Y1 : mu]: 42.25/5.95 (((exists_in_world @ Y1 @ Y0) => 42.25/5.95 (((!!) @ (^[Y2 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.95 (((!!) @ (^[Y3 : mu]: 42.25/5.95 (((exists_in_world @ 42.25/5.95 Y3 @ Y2) => 42.25/5.95 (((!!) @ ( 42.25/5.95 ^[Y4 : $i]: 42.25/5.95 (( 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y2 @ Y4))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 z_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))) | 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 u_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y1 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y1 @ 42.25/5.95 n2 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 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Y1 @ 42.25/5.95 n2 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y3 @ 42.25/5.95 pv5 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.95 Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n0) @ use @ Y0)))))))), 42.25/5.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl36])). 42.25/5.95 thf(zip_derived_cl100, plain, 42.25/5.95 (( (rel_s4 @ '#sk2' @ '#sk3') 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.95 Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.95 (((!!) @ (^[Y1 : mu]: 42.25/5.95 (((exists_in_world @ Y1 @ Y0) => 42.25/5.95 (((!!) @ (^[Y2 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.95 (((!!) @ (^[Y3 : mu]: 42.25/5.95 (((exists_in_world @ 42.25/5.95 Y3 @ Y2) => 42.25/5.95 (((!!) @ ( 42.25/5.95 ^[Y4 : $i]: 42.25/5.95 (( 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y2 @ Y4))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 z_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))) | 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 u_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y1 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y1 @ 42.25/5.95 n2 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y3 @ 42.25/5.95 pv5 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.95 (((!!) @ (^[Y1 : mu]: 42.25/5.95 (((exists_in_world @ Y1 @ Y0) => 42.25/5.95 (((!!) @ (^[Y2 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.95 (((!!) @ (^[Y3 : mu]: 42.25/5.95 (((exists_in_world @ 42.25/5.95 Y3 @ Y2) => 42.25/5.95 (((!!) @ ( 42.25/5.95 ^[Y4 : $i]: 42.25/5.95 (( 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y2 @ Y4))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 z_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))) | 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 u_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y1 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y1 @ 42.25/5.95 n2 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y3 @ 42.25/5.95 ( 42.25/5.95 minus @ 42.25/5.95 pv5 @ n1) @ 42.25/5.95 Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.95 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))))), 42.25/5.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl68])). 42.25/5.95 thf(zip_derived_cl104, plain, 42.25/5.95 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.95 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.95 (((!!) @ (^[Y1 : mu]: 42.25/5.95 (((exists_in_world @ Y1 @ Y0) => 42.25/5.95 (((!!) @ (^[Y2 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.95 (((!!) @ (^[Y3 : mu]: 42.25/5.95 (((exists_in_world @ 42.25/5.95 Y3 @ Y2) => 42.25/5.95 (((!!) @ ( 42.25/5.95 ^[Y4 : $i]: 42.25/5.95 (( 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y2 @ Y4))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 z_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))) | 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 u_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y1 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y1 @ 42.25/5.95 n2 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y3 @ 42.25/5.95 ( 42.25/5.95 minus @ 42.25/5.95 pv5 @ n1) @ 42.25/5.95 Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.95 (((!!) @ (^[Y1 : mu]: 42.25/5.95 (((exists_in_world @ Y1 @ Y0) => 42.25/5.95 (((!!) @ (^[Y2 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.95 (((!!) @ (^[Y3 : mu]: 42.25/5.95 (((exists_in_world @ 42.25/5.95 Y3 @ Y2) => 42.25/5.95 (((!!) @ ( 42.25/5.95 ^[Y4 : $i]: 42.25/5.95 (( 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y2 @ Y4))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 z_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))) | 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 u_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y1 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y1 @ 42.25/5.95 n2 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y3 @ 42.25/5.95 pv5 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.95 Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | (rel_s4 @ '#sk2' @ '#sk3'))), 42.25/5.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl100])). 42.25/5.95 thf(zip_derived_cl108, plain, 42.25/5.95 (( (rel_s4 @ '#sk2' @ '#sk4') 42.25/5.95 | (rel_s4 @ '#sk2' @ '#sk3') 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.95 Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.95 (((!!) @ (^[Y1 : mu]: 42.25/5.95 (((exists_in_world @ Y1 @ Y0) => 42.25/5.95 (((!!) @ (^[Y2 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.95 (((!!) @ (^[Y3 : mu]: 42.25/5.95 (((exists_in_world @ 42.25/5.95 Y3 @ Y2) => 42.25/5.95 (((!!) @ ( 42.25/5.95 ^[Y4 : $i]: 42.25/5.95 (( 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y2 @ Y4))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 z_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))) | 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 u_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y1 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y1 @ 42.25/5.95 n2 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y3 @ 42.25/5.95 pv5 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.95 (((!!) @ (^[Y1 : mu]: 42.25/5.95 (((exists_in_world @ Y1 @ Y0) => 42.25/5.95 (((!!) @ (^[Y2 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.95 (((!!) @ (^[Y3 : mu]: 42.25/5.95 (((exists_in_world @ 42.25/5.95 Y3 @ Y2) => 42.25/5.95 (((!!) @ ( 42.25/5.95 ^[Y4 : $i]: 42.25/5.95 (( 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y2 @ Y4))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 z_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))) | 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 u_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y1 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y1 @ 42.25/5.95 n2 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y3 @ 42.25/5.95 ( 42.25/5.95 minus @ 42.25/5.95 pv5 @ n1) @ 42.25/5.95 Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.95 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))))), 42.25/5.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl104])). 42.25/5.95 thf(zip_derived_cl108, plain, 42.25/5.95 (( (rel_s4 @ '#sk2' @ '#sk4') 42.25/5.95 | (rel_s4 @ '#sk2' @ '#sk3') 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.95 Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.95 (((!!) @ (^[Y1 : mu]: 42.25/5.95 (((exists_in_world @ Y1 @ Y0) => 42.25/5.95 (((!!) @ (^[Y2 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.95 (((!!) @ (^[Y3 : mu]: 42.25/5.95 (((exists_in_world @ 42.25/5.95 Y3 @ Y2) => 42.25/5.95 (((!!) @ ( 42.25/5.95 ^[Y4 : $i]: 42.25/5.95 (( 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y2 @ Y4))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 z_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))) | 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 u_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y1 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y1 @ 42.25/5.95 n2 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 Y3 @ 42.25/5.95 pv5 @ Y5)))))))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (leq @ 42.25/5.95 n0 @ 42.25/5.95 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.95 (((!!) @ (^[Y1 : mu]: 42.25/5.95 (((exists_in_world @ Y1 @ Y0) 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(((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))))), 42.25/5.95 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl104])). 42.25/5.95 thf(zip_derived_cl115, plain, 42.25/5.95 (( ('#form7') 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n2) @ use @ Y0)))))))), 42.25/5.95 define([status(thm)])). 42.25/5.95 thf(zip_derived_cl117, plain, 42.25/5.95 ((~ ('#form7') 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.95 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.95 (((!!) @ (^[Y1 : mu]: 42.25/5.95 (((exists_in_world @ Y1 @ Y0) => 42.25/5.95 (((!!) @ (^[Y2 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.95 (((!!) @ (^[Y3 : mu]: 42.25/5.95 (((exists_in_world @ 42.25/5.95 Y3 @ Y2) => 42.25/5.95 (((!!) @ ( 42.25/5.95 ^[Y4 : $i]: 42.25/5.95 (( 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y2 @ Y4))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 z_defuse @ 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42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | (rel_s4 @ '#sk2' @ '#sk3') 42.25/5.95 | (rel_s4 @ '#sk2' @ '#sk4'))), 42.25/5.95 inference('renaming', [status(thm)], 42.25/5.95 [zip_derived_cl108, zip_derived_cl115])). 42.25/5.95 thf(zip_derived_cl101, plain, 42.25/5.95 ((~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.95 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.95 Y0)))))) 42.25/5.95 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.95 (((!!) @ (^[Y1 : mu]: 42.25/5.95 (((exists_in_world @ Y1 @ Y0) => 42.25/5.95 (((!!) @ (^[Y2 : $i]: 42.25/5.95 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.95 (((!!) @ (^[Y3 : mu]: 42.25/5.95 (((exists_in_world @ 42.25/5.95 Y3 @ Y2) => 42.25/5.95 (((!!) @ ( 42.25/5.95 ^[Y4 : $i]: 42.25/5.95 (( 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y2 @ Y4))) | 42.25/5.95 ( 42.25/5.95 ( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.95 ( 42.25/5.95 a_select3 @ 42.25/5.95 z_defuse @ 42.25/5.95 Y1 @ Y3) @ 42.25/5.95 use @ Y5)))))))) | 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 ( 42.25/5.95 (!!) @ ( 42.25/5.95 ^[Y5 : $i]: 42.25/5.95 (( 42.25/5.95 (( 42.25/5.95 (~) @ ( 42.25/5.95 rel_s4 @ 42.25/5.95 Y4 @ Y5))) | 42.25/5.95 (qmltpeq @ 42.25/5.96 ( 42.25/5.96 a_select3 @ 42.25/5.96 u_defuse @ 42.25/5.96 Y1 @ Y3) @ 42.25/5.96 use @ Y5)))))))))))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (leq @ 42.25/5.96 n0 @ 42.25/5.96 Y1 @ Y5)))))))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (leq @ 42.25/5.96 Y1 @ 42.25/5.96 n2 @ Y5)))))))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (leq @ 42.25/5.96 Y3 @ 42.25/5.96 pv5 @ Y5)))))))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (leq @ 42.25/5.96 n0 @ 42.25/5.96 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.96 (((!!) @ (^[Y1 : mu]: 42.25/5.96 (((exists_in_world @ Y1 @ Y0) => 42.25/5.96 (((!!) @ (^[Y2 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.96 (((!!) @ (^[Y3 : mu]: 42.25/5.96 (((exists_in_world @ 42.25/5.96 Y3 @ Y2) => 42.25/5.96 (((!!) @ ( 42.25/5.96 ^[Y4 : $i]: 42.25/5.96 (( 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y2 @ Y4))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (qmltpeq @ 42.25/5.96 ( 42.25/5.96 a_select3 @ 42.25/5.96 z_defuse @ 42.25/5.96 Y1 @ Y3) @ 42.25/5.96 use @ Y5)))))))) | 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (qmltpeq @ 42.25/5.96 ( 42.25/5.96 a_select3 @ 42.25/5.96 u_defuse @ 42.25/5.96 Y1 @ Y3) @ 42.25/5.96 use @ Y5)))))))))))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (leq @ 42.25/5.96 n0 @ 42.25/5.96 Y1 @ Y5)))))))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (leq @ 42.25/5.96 Y1 @ 42.25/5.96 n2 @ Y5)))))))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (leq @ 42.25/5.96 Y3 @ 42.25/5.96 ( 42.25/5.96 minus @ 42.25/5.96 pv5 @ n1) @ 42.25/5.96 Y5)))))))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (leq @ 42.25/5.96 n0 @ 42.25/5.96 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.96 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))))), 42.25/5.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl68])). 42.25/5.96 thf(zip_derived_cl105, plain, 42.25/5.96 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.25/5.96 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.96 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.96 (((!!) @ (^[Y1 : mu]: 42.25/5.96 (((exists_in_world @ Y1 @ Y0) => 42.25/5.96 (((!!) @ (^[Y2 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.96 (((!!) @ (^[Y3 : mu]: 42.25/5.96 (((exists_in_world @ 42.25/5.96 Y3 @ Y2) => 42.25/5.96 (((!!) @ ( 42.25/5.96 ^[Y4 : $i]: 42.25/5.96 (( 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y2 @ Y4))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (qmltpeq @ 42.25/5.96 ( 42.25/5.96 a_select3 @ 42.25/5.96 z_defuse @ 42.25/5.96 Y1 @ Y3) @ 42.25/5.96 use @ Y5)))))))) | 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (qmltpeq @ 42.25/5.96 ( 42.25/5.96 a_select3 @ 42.25/5.96 u_defuse @ 42.25/5.96 Y1 @ Y3) @ 42.25/5.96 use @ Y5)))))))))))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (leq @ 42.25/5.96 n0 @ 42.25/5.96 Y1 @ Y5)))))))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 42.25/5.96 Y4 @ Y5))) | 42.25/5.96 (leq @ 42.25/5.96 Y1 @ 42.25/5.96 n2 @ Y5)))))))) | 42.25/5.96 ( 42.25/5.96 ( 42.25/5.96 (~) @ ( 42.25/5.96 ( 42.25/5.96 (!!) @ ( 42.25/5.96 ^[Y5 : $i]: 42.25/5.96 (( 42.25/5.96 (( 42.25/5.96 (~) @ ( 42.25/5.96 rel_s4 @ 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@ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.96 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.96 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.96 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.25/5.96 | (rel_s4 @ '#sk2' @ '#sk3') 42.25/5.96 | (rel_s4 @ '#sk2' @ '#sk4') 42.25/5.96 | ~ ('#form5') 42.25/5.98 | ~ ('#form9') 42.25/5.98 | ~ ('#form13'))), 42.25/5.98 inference('renaming', [status(thm)], 42.25/5.98 [zip_derived_cl160, zip_derived_cl172])). 42.25/5.98 thf(zip_derived_cl137, plain, 42.25/5.98 ((~ ('#form11') 42.25/5.98 | ~ ('#form7') 42.25/5.98 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.25/5.98 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 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@ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.98 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.98 (((!!) @ (^[Y1 : mu]: 42.25/5.98 (((exists_in_world @ Y1 @ Y0) => 42.25/5.98 (((!!) @ (^[Y2 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.98 (((!!) @ (^[Y3 : mu]: 42.25/5.98 (((exists_in_world @ 42.25/5.98 Y3 @ Y2) => 42.25/5.98 (((!!) @ ( 42.25/5.98 ^[Y4 : $i]: 42.25/5.98 (( 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y2 @ Y4))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 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'#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.98 Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse 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u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.98 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.98 (((!!) @ (^[Y1 : mu]: 42.25/5.98 (((exists_in_world @ Y1 @ Y0) => 42.25/5.98 (((!!) @ (^[Y2 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.98 (((!!) @ (^[Y3 : mu]: 42.25/5.98 (((exists_in_world @ 42.25/5.98 Y3 @ Y2) => 42.25/5.98 (((!!) @ ( 42.25/5.98 ^[Y4 : $i]: 42.25/5.98 (( 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y2 @ Y4))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 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42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (qmltpeq @ 42.25/5.98 ( 42.25/5.98 a_select3 @ 42.25/5.98 u_defuse @ 42.25/5.98 Y1 @ Y3) @ 42.25/5.98 use @ Y5)))))))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 n0 @ 42.25/5.98 Y1 @ Y5)))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 Y1 @ 42.25/5.98 n2 @ Y5)))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 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xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ ('#form7') 42.25/5.98 | ~ ('#form11') 42.25/5.98 | ~ ('#form15') 42.25/5.98 | ~ ('#form21') 42.25/5.98 | ~ ('#form27'))), 42.25/5.98 inference('renaming', [status(thm)], 42.25/5.98 [zip_derived_cl198, zip_derived_cl188])). 42.25/5.98 thf(zip_derived_cl208, plain, 42.25/5.98 ((~ ('#form23') 42.25/5.98 | ~ ('#form17') 42.25/5.98 | ~ ('#form13') 42.25/5.98 | ~ ('#form9') 42.25/5.98 | ~ ('#form5') 42.25/5.98 | (rel_s4 @ '#sk2' @ '#sk4') 42.25/5.98 | (rel_s4 @ '#sk2' @ '#sk3') 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.98 Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.98 (((!!) @ (^[Y1 : mu]: 42.25/5.98 (((exists_in_world @ Y1 @ Y0) => 42.25/5.98 (((!!) @ (^[Y2 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.98 (((!!) @ (^[Y3 : mu]: 42.25/5.98 (((exists_in_world @ 42.25/5.98 Y3 @ Y2) => 42.25/5.98 (((!!) @ ( 42.25/5.98 ^[Y4 : $i]: 42.25/5.98 (( 42.25/5.98 ( 42.25/5.98 ( 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42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 n0 @ 42.25/5.98 Y1 @ Y5)))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 Y1 @ 42.25/5.98 n2 @ Y5)))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 Y3 @ 42.25/5.98 ( 42.25/5.98 minus @ 42.25/5.98 pv5 @ n1) @ 42.25/5.98 Y5)))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 n0 @ 42.25/5.98 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.98 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ ('#form7') 42.25/5.98 | ~ ('#form11') 42.25/5.98 | ~ ('#form15') 42.25/5.98 | ~ ('#form21') 42.25/5.98 | ~ ('#form27'))), 42.25/5.98 inference('renaming', [status(thm)], 42.25/5.98 [zip_derived_cl198, zip_derived_cl188])). 42.25/5.98 thf(zip_derived_cl219, plain, 42.25/5.98 (( ('#form33') 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 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@ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.98 (((!!) @ (^[Y1 : mu]: 42.25/5.98 (((exists_in_world @ Y1 @ Y0) => 42.25/5.98 (((!!) @ (^[Y2 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.98 (((!!) @ (^[Y3 : mu]: 42.25/5.98 (((exists_in_world @ 42.25/5.98 Y3 @ Y2) => 42.25/5.98 (((!!) @ ( 42.25/5.98 ^[Y4 : $i]: 42.25/5.98 (( 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y2 @ Y4))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (qmltpeq @ 42.25/5.98 ( 42.25/5.98 a_select3 @ 42.25/5.98 z_defuse @ 42.25/5.98 Y1 @ Y3) @ 42.25/5.98 use @ Y5)))))))) | 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (qmltpeq @ 42.25/5.98 ( 42.25/5.98 a_select3 @ 42.25/5.98 u_defuse @ 42.25/5.98 Y1 @ Y3) @ 42.25/5.98 use @ Y5)))))))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 n0 @ 42.25/5.98 Y1 @ Y5)))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 Y1 @ 42.25/5.98 n2 @ Y5)))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 Y3 @ 42.25/5.98 pv5 @ Y5)))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 n0 @ 42.25/5.98 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.98 Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.25/5.98 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.25/5.98 | ~ ('#form5') 42.25/5.98 | ~ ('#form9') 42.25/5.98 | ~ ('#form13') 42.25/5.98 | ~ ('#form17'))), 42.25/5.98 inference('renaming', [status(thm)], 42.25/5.98 [zip_derived_cl166, zip_derived_cl172])). 42.25/5.98 thf(zip_derived_cl188, plain, 42.25/5.98 (( ('#form23') 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))))), 42.25/5.98 define([status(thm)])). 42.25/5.98 thf(zip_derived_cl190, plain, 42.25/5.98 ((~ ('#form23') 42.25/5.98 | ~ ('#form17') 42.25/5.98 | ~ ('#form13') 42.25/5.98 | ~ ('#form9') 42.25/5.98 | ~ ('#form5') 42.25/5.98 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.98 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.98 Y0)))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.98 (((!!) @ (^[Y1 : mu]: 42.25/5.98 (((exists_in_world @ Y1 @ Y0) => 42.25/5.98 (((!!) @ (^[Y2 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.98 (((!!) @ (^[Y3 : mu]: 42.25/5.98 (((exists_in_world @ 42.25/5.98 Y3 @ Y2) => 42.25/5.98 (((!!) @ ( 42.25/5.98 ^[Y4 : $i]: 42.25/5.98 (( 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y2 @ Y4))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (qmltpeq @ 42.25/5.98 ( 42.25/5.98 a_select3 @ 42.25/5.98 z_defuse @ 42.25/5.98 Y1 @ Y3) @ 42.25/5.98 use @ Y5)))))))) | 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (qmltpeq @ 42.25/5.98 ( 42.25/5.98 a_select3 @ 42.25/5.98 u_defuse @ 42.25/5.98 Y1 @ Y3) @ 42.25/5.98 use @ Y5)))))))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 n0 @ 42.25/5.98 Y1 @ Y5)))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 Y1 @ 42.25/5.98 n2 @ Y5)))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 Y3 @ 42.25/5.98 pv5 @ Y5)))))))) | 42.25/5.98 ( 42.25/5.98 ( 42.25/5.98 (~) @ ( 42.25/5.98 ( 42.25/5.98 (!!) @ ( 42.25/5.98 ^[Y5 : $i]: 42.25/5.98 (( 42.25/5.98 (( 42.25/5.98 (~) @ ( 42.25/5.98 rel_s4 @ 42.25/5.98 Y4 @ Y5))) | 42.25/5.98 (leq @ 42.25/5.98 n0 @ 42.25/5.98 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.98 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.98 (((!!) @ (^[Y1 : mu]: 42.25/5.98 (((exists_in_world @ Y1 @ Y0) => 42.25/5.98 (((!!) @ (^[Y2 : $i]: 42.25/5.98 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.98 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 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@ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y1 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y1 @ 42.25/5.99 n2 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y3 @ 42.25/5.99 ( 42.25/5.99 minus @ 42.25/5.99 pv5 @ n1) @ 42.25/5.99 Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.99 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.99 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.25/5.99 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.25/5.99 | ~ ('#form7') 42.25/5.99 | ~ ('#form11') 42.25/5.99 | ~ ('#form15') 42.25/5.99 | ~ ('#form21'))), 42.25/5.99 inference('renaming', [status(thm)], 42.25/5.99 [zip_derived_cl176, zip_derived_cl188])). 42.25/5.99 thf(zip_derived_cl196, plain, 42.25/5.99 (( ('#form27') 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ 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(qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.99 (minus 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Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.99 Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 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n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ ('#form7') 42.25/5.99 | ~ ('#form11') 42.25/5.99 | ~ ('#form15') 42.25/5.99 | ~ ('#form21') 42.25/5.99 | ~ ('#form27') 42.25/5.99 | ~ ('#form33'))), 42.25/5.99 inference('renaming', [status(thm)], 42.25/5.99 [zip_derived_cl221, zip_derived_cl212])). 42.25/5.99 thf(zip_derived_cl248, plain, 42.25/5.99 (( ('#form38') 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))))), 42.25/5.99 define([status(thm)])). 42.25/5.99 thf(zip_derived_cl250, plain, 42.25/5.99 ((~ ('#form38') 42.25/5.99 | ~ ('#form33') 42.25/5.99 | ~ ('#form27') 42.25/5.99 | ~ ('#form21') 42.25/5.99 | ~ ('#form15') 42.25/5.99 | ~ ('#form11') 42.25/5.99 | ~ ('#form7') 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.99 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 z_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))) | 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 u_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y1 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y1 @ 42.25/5.99 n2 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y3 @ 42.25/5.99 ( 42.25/5.99 minus @ 42.25/5.99 pv5 @ n1) @ 42.25/5.99 Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 z_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))) | 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 u_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y1 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y1 @ 42.25/5.99 n2 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y3 @ 42.25/5.99 pv5 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.99 Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.99 | (rel_s4 @ '#sk2' @ '#sk3') 42.25/5.99 | (rel_s4 @ '#sk2' @ '#sk4') 42.25/5.99 | ~ ('#form5') 42.25/5.99 | ~ ('#form9') 42.25/5.99 | ~ ('#form13') 42.25/5.99 | ~ ('#form17') 42.25/5.99 | ~ ('#form23') 42.25/5.99 | ~ ('#form30'))), 42.25/5.99 inference('renaming', [status(thm)], 42.25/5.99 [zip_derived_cl235, zip_derived_cl248])). 42.25/5.99 thf(zip_derived_cl200, plain, 42.25/5.99 ((~ ('#form27') 42.25/5.99 | ~ ('#form21') 42.25/5.99 | ~ ('#form15') 42.25/5.99 | ~ ('#form11') 42.25/5.99 | ~ ('#form7') 42.25/5.99 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.25/5.99 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.99 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 z_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))) | 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 u_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y1 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y1 @ 42.25/5.99 n2 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y3 @ 42.25/5.99 ( 42.25/5.99 minus @ 42.25/5.99 pv5 @ n1) @ 42.25/5.99 Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 z_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))) | 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 u_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y1 @ Y5)))))))) | 42.25/5.99 ( 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42.25/5.99 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.99 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.25/5.99 | ~ ('#form5') 42.25/5.99 | ~ ('#form9') 42.25/5.99 | ~ ('#form13') 42.25/5.99 | ~ ('#form17') 42.25/5.99 | ~ ('#form23'))), 42.25/5.99 inference('renaming', [status(thm)], 42.25/5.99 [zip_derived_cl190, zip_derived_cl196])). 42.25/5.99 thf(zip_derived_cl212, plain, 42.25/5.99 (( ('#form30') 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))))), 42.25/5.99 define([status(thm)])). 42.25/5.99 thf(zip_derived_cl214, plain, 42.25/5.99 ((~ ('#form30') 42.25/5.99 | ~ ('#form23') 42.25/5.99 | ~ ('#form17') 42.25/5.99 | ~ ('#form13') 42.25/5.99 | ~ ('#form9') 42.25/5.99 | ~ ('#form5') 42.25/5.99 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.99 Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 z_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))) | 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 u_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))))))) | 42.25/5.99 ( 42.25/5.99 ( 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| (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.25/5.99 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.25/5.99 | ~ ('#form7') 42.25/5.99 | ~ ('#form11') 42.25/5.99 | ~ ('#form15') 42.25/5.99 | ~ ('#form21') 42.25/5.99 | ~ ('#form27'))), 42.25/5.99 inference('renaming', [status(thm)], 42.25/5.99 [zip_derived_cl200, zip_derived_cl212])). 42.25/5.99 thf(zip_derived_cl219, plain, 42.25/5.99 (( ('#form33') 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))))), 42.25/5.99 define([status(thm)])). 42.25/5.99 thf(zip_derived_cl223, plain, 42.25/5.99 ((~ ('#form33') 42.25/5.99 | ~ ('#form27') 42.25/5.99 | ~ ('#form21') 42.25/5.99 | ~ ('#form15') 42.25/5.99 | ~ ('#form11') 42.25/5.99 | ~ ('#form7') 42.25/5.99 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.25/5.99 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.99 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 z_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))) | 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 u_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y1 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y1 @ 42.25/5.99 n2 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y3 @ 42.25/5.99 ( 42.25/5.99 minus @ 42.25/5.99 pv5 @ n1) @ 42.25/5.99 Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 z_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))) | 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 u_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y1 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y1 @ 42.25/5.99 n2 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y3 @ 42.25/5.99 pv5 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.99 Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/5.99 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.25/5.99 | ~ ('#form5') 42.25/5.99 | ~ ('#form9') 42.25/5.99 | ~ ('#form13') 42.25/5.99 | ~ ('#form17') 42.25/5.99 | ~ ('#form23') 42.25/5.99 | ~ ('#form30'))), 42.25/5.99 inference('renaming', [status(thm)], 42.25/5.99 [zip_derived_cl214, zip_derived_cl219])). 42.25/5.99 thf(zip_derived_cl239, plain, 42.25/5.99 (( ('#form36') 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))))), 42.25/5.99 define([status(thm)])). 42.25/5.99 thf(zip_derived_cl261, plain, 42.25/5.99 ((~ ('#form36') 42.25/5.99 | ~ ('#form30') 42.25/5.99 | ~ ('#form23') 42.25/5.99 | ~ ('#form17') 42.25/5.99 | ~ ('#form13') 42.25/5.99 | ~ ('#form9') 42.25/5.99 | ~ ('#form5') 42.25/5.99 | (rel_s4 @ '#sk2' @ '#sk4') 42.25/5.99 | (rel_s4 @ '#sk2' @ '#sk3') 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/5.99 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/5.99 Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 z_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))) | 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 u_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y1 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y1 @ 42.25/5.99 n2 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y3 @ 42.25/5.99 pv5 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 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| ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/5.99 (minus @ n999 @ n1) @ Y0)))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 z_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))) | 42.25/5.99 (( 42.25/5.99 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42.25/5.99 (leq @ 42.25/5.99 Y3 @ 42.25/5.99 ( 42.25/5.99 minus @ 42.25/5.99 pv5 @ n1) @ 42.25/5.99 Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/5.99 | ~ (((!!) @ (^[Y0 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/5.99 (((!!) @ (^[Y1 : mu]: 42.25/5.99 (((exists_in_world @ Y1 @ Y0) => 42.25/5.99 (((!!) @ (^[Y2 : $i]: 42.25/5.99 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/5.99 (((!!) @ (^[Y3 : mu]: 42.25/5.99 (((exists_in_world @ 42.25/5.99 Y3 @ Y2) => 42.25/5.99 (((!!) @ ( 42.25/5.99 ^[Y4 : $i]: 42.25/5.99 (( 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y2 @ Y4))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 z_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))) | 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (qmltpeq @ 42.25/5.99 ( 42.25/5.99 a_select3 @ 42.25/5.99 u_defuse @ 42.25/5.99 Y1 @ Y3) @ 42.25/5.99 use @ Y5)))))))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 n0 @ 42.25/5.99 Y1 @ Y5)))))))) | 42.25/5.99 ( 42.25/5.99 ( 42.25/5.99 (~) @ ( 42.25/5.99 ( 42.25/5.99 (!!) @ ( 42.25/5.99 ^[Y5 : $i]: 42.25/5.99 (( 42.25/5.99 (( 42.25/5.99 (~) @ ( 42.25/5.99 rel_s4 @ 42.25/5.99 Y4 @ Y5))) | 42.25/5.99 (leq @ 42.25/5.99 Y1 @ 42.25/6.00 n2 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 Y3 @ 42.25/6.00 pv5 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 n0 @ 42.25/6.00 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/6.00 Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/6.00 | (rel_s4 @ '#sk2' @ '#sk3') 42.25/6.00 | (rel_s4 @ '#sk2' @ '#sk4') 42.25/6.00 | ~ ('#form5') 42.25/6.00 | ~ ('#form9') 42.25/6.00 | ~ ('#form13') 42.25/6.00 | ~ ('#form17') 42.25/6.00 | ~ ('#form23') 42.25/6.00 | ~ ('#form30') 42.25/6.00 | ~ ('#form36'))), 42.25/6.00 inference('renaming', [status(thm)], 42.25/6.00 [zip_derived_cl261, zip_derived_cl268])). 42.25/6.00 thf(zip_derived_cl223, plain, 42.25/6.00 ((~ ('#form33') 42.25/6.00 | ~ ('#form27') 42.25/6.00 | ~ ('#form21') 42.25/6.00 | ~ ('#form15') 42.25/6.00 | ~ ('#form11') 42.25/6.00 | ~ ('#form7') 42.25/6.00 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.25/6.00 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/6.00 (minus @ n999 @ n1) @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.00 (((!!) @ (^[Y1 : mu]: 42.25/6.00 (((exists_in_world @ Y1 @ Y0) => 42.25/6.00 (((!!) @ (^[Y2 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.00 (((!!) @ (^[Y3 : mu]: 42.25/6.00 (((exists_in_world @ 42.25/6.00 Y3 @ Y2) => 42.25/6.00 (((!!) @ ( 42.25/6.00 ^[Y4 : $i]: 42.25/6.00 (( 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y2 @ Y4))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (qmltpeq @ 42.25/6.00 ( 42.25/6.00 a_select3 @ 42.25/6.00 z_defuse @ 42.25/6.00 Y1 @ Y3) @ 42.25/6.00 use @ Y5)))))))) | 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (qmltpeq @ 42.25/6.00 ( 42.25/6.00 a_select3 @ 42.25/6.00 u_defuse @ 42.25/6.00 Y1 @ Y3) @ 42.25/6.00 use @ Y5)))))))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 n0 @ 42.25/6.00 Y1 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 Y1 @ 42.25/6.00 n2 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 Y3 @ 42.25/6.00 ( 42.25/6.00 minus @ 42.25/6.00 pv5 @ n1) @ 42.25/6.00 Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 n0 @ 42.25/6.00 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.00 (((!!) @ (^[Y1 : mu]: 42.25/6.00 (((exists_in_world @ Y1 @ Y0) => 42.25/6.00 (((!!) @ (^[Y2 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.00 (((!!) @ (^[Y3 : mu]: 42.25/6.00 (((exists_in_world @ 42.25/6.00 Y3 @ Y2) => 42.25/6.00 (((!!) @ ( 42.25/6.00 ^[Y4 : $i]: 42.25/6.00 (( 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y2 @ Y4))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (qmltpeq @ 42.25/6.00 ( 42.25/6.00 a_select3 @ 42.25/6.00 z_defuse @ 42.25/6.00 Y1 @ Y3) @ 42.25/6.00 use @ Y5)))))))) | 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (qmltpeq @ 42.25/6.00 ( 42.25/6.00 a_select3 @ 42.25/6.00 u_defuse @ 42.25/6.00 Y1 @ Y3) @ 42.25/6.00 use @ Y5)))))))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 n0 @ 42.25/6.00 Y1 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 Y1 @ 42.25/6.00 n2 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 Y3 @ 42.25/6.00 pv5 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 n0 @ 42.25/6.00 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/6.00 Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/6.00 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.25/6.00 | ~ ('#form5') 42.25/6.00 | ~ ('#form9') 42.25/6.00 | ~ ('#form13') 42.25/6.00 | ~ ('#form17') 42.25/6.00 | ~ ('#form23') 42.25/6.00 | ~ ('#form30'))), 42.25/6.00 inference('renaming', [status(thm)], 42.25/6.00 [zip_derived_cl214, zip_derived_cl219])). 42.25/6.00 thf(zip_derived_cl239, plain, 42.25/6.00 (( ('#form36') 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))))), 42.25/6.00 define([status(thm)])). 42.25/6.00 thf(zip_derived_cl241, plain, 42.25/6.00 ((~ ('#form36') 42.25/6.00 | ~ ('#form30') 42.25/6.00 | ~ ('#form23') 42.25/6.00 | ~ ('#form17') 42.25/6.00 | ~ ('#form13') 42.25/6.00 | ~ ('#form9') 42.25/6.00 | ~ ('#form5') 42.25/6.00 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/6.00 Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.00 (((!!) @ (^[Y1 : mu]: 42.25/6.00 (((exists_in_world @ Y1 @ Y0) => 42.25/6.00 (((!!) @ (^[Y2 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.00 (((!!) @ (^[Y3 : mu]: 42.25/6.00 (((exists_in_world @ 42.25/6.00 Y3 @ Y2) => 42.25/6.00 (((!!) @ ( 42.25/6.00 ^[Y4 : $i]: 42.25/6.00 (( 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y2 @ Y4))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (qmltpeq @ 42.25/6.00 ( 42.25/6.00 a_select3 @ 42.25/6.00 z_defuse @ 42.25/6.00 Y1 @ Y3) @ 42.25/6.00 use @ Y5)))))))) | 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (qmltpeq @ 42.25/6.00 ( 42.25/6.00 a_select3 @ 42.25/6.00 u_defuse @ 42.25/6.00 Y1 @ Y3) @ 42.25/6.00 use @ Y5)))))))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 n0 @ 42.25/6.00 Y1 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 Y1 @ 42.25/6.00 n2 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 Y3 @ 42.25/6.00 pv5 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 n0 @ 42.25/6.00 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.00 (((!!) @ (^[Y1 : mu]: 42.25/6.00 (((exists_in_world @ Y1 @ Y0) => 42.25/6.00 (((!!) @ (^[Y2 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.00 (((!!) @ (^[Y3 : mu]: 42.25/6.00 (((exists_in_world @ 42.25/6.00 Y3 @ Y2) => 42.25/6.00 (((!!) @ ( 42.25/6.00 ^[Y4 : $i]: 42.25/6.00 (( 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y2 @ Y4))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (qmltpeq @ 42.25/6.00 ( 42.25/6.00 a_select3 @ 42.25/6.00 z_defuse @ 42.25/6.00 Y1 @ Y3) @ 42.25/6.00 use @ Y5)))))))) | 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (qmltpeq @ 42.25/6.00 ( 42.25/6.00 a_select3 @ 42.25/6.00 u_defuse @ 42.25/6.00 Y1 @ Y3) @ 42.25/6.00 use @ Y5)))))))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 n0 @ 42.25/6.00 Y1 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 Y1 @ 42.25/6.00 n2 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 Y3 @ 42.25/6.00 ( 42.25/6.00 minus @ 42.25/6.00 pv5 @ n1) @ 42.25/6.00 Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 n0 @ 42.25/6.00 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/6.00 (minus @ n999 @ n1) @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/6.00 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.25/6.00 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.25/6.00 | ~ ('#form7') 42.25/6.00 | ~ ('#form11') 42.25/6.00 | ~ ('#form15') 42.25/6.00 | ~ ('#form21') 42.25/6.00 | ~ ('#form27') 42.25/6.00 | ~ ('#form33'))), 42.25/6.00 inference('renaming', [status(thm)], 42.25/6.00 [zip_derived_cl223, zip_derived_cl239])). 42.25/6.00 thf(zip_derived_cl248, plain, 42.25/6.00 (( ('#form38') 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))))), 42.25/6.00 define([status(thm)])). 42.25/6.00 thf(zip_derived_cl252, plain, 42.25/6.00 ((~ ('#form38') 42.25/6.00 | ~ ('#form33') 42.25/6.00 | ~ ('#form27') 42.25/6.00 | ~ ('#form21') 42.25/6.00 | ~ ('#form15') 42.25/6.00 | ~ ('#form11') 42.25/6.00 | ~ ('#form7') 42.25/6.00 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.25/6.00 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.00 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/6.00 (minus @ n999 @ n1) @ Y0)))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.00 (((!!) @ (^[Y1 : mu]: 42.25/6.00 (((exists_in_world @ Y1 @ Y0) => 42.25/6.00 (((!!) @ (^[Y2 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.00 (((!!) @ (^[Y3 : mu]: 42.25/6.00 (((exists_in_world @ 42.25/6.00 Y3 @ Y2) => 42.25/6.00 (((!!) @ ( 42.25/6.00 ^[Y4 : $i]: 42.25/6.00 (( 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y2 @ Y4))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (qmltpeq @ 42.25/6.00 ( 42.25/6.00 a_select3 @ 42.25/6.00 z_defuse @ 42.25/6.00 Y1 @ Y3) @ 42.25/6.00 use @ Y5)))))))) | 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (qmltpeq @ 42.25/6.00 ( 42.25/6.00 a_select3 @ 42.25/6.00 u_defuse @ 42.25/6.00 Y1 @ Y3) @ 42.25/6.00 use @ Y5)))))))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 n0 @ 42.25/6.00 Y1 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 Y1 @ 42.25/6.00 n2 @ Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 Y3 @ 42.25/6.00 ( 42.25/6.00 minus @ 42.25/6.00 pv5 @ n1) @ 42.25/6.00 Y5)))))))) | 42.25/6.00 ( 42.25/6.00 ( 42.25/6.00 (~) @ ( 42.25/6.00 ( 42.25/6.00 (!!) @ ( 42.25/6.00 ^[Y5 : $i]: 42.25/6.00 (( 42.25/6.00 (( 42.25/6.00 (~) @ ( 42.25/6.00 rel_s4 @ 42.25/6.00 Y4 @ Y5))) | 42.25/6.00 (leq @ 42.25/6.00 n0 @ 42.25/6.00 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.00 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.00 (((!!) @ (^[Y1 : mu]: 42.25/6.00 (((exists_in_world @ Y1 @ Y0) => 42.25/6.00 (((!!) @ (^[Y2 : $i]: 42.25/6.00 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.00 (((!!) @ (^[Y3 : mu]: 42.25/6.00 (((exists_in_world @ 42.25/6.00 Y3 @ Y2) => 42.25/6.00 (((!!) @ ( 42.25/6.00 ^[Y4 : $i]: 42.25/6.00 (( 42.25/6.00 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y2 @ Y4))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 z_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))) | 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 u_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y1 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y1 @ 42.25/6.01 n2 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y3 @ 42.25/6.01 pv5 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/6.01 Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/6.01 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.25/6.01 | ~ ('#form5') 42.25/6.01 | ~ ('#form9') 42.25/6.01 | ~ ('#form13') 42.25/6.01 | ~ ('#form17') 42.25/6.01 | ~ ('#form23') 42.25/6.01 | ~ ('#form30') 42.25/6.01 | ~ ('#form36'))), 42.25/6.01 inference('renaming', [status(thm)], 42.25/6.01 [zip_derived_cl241, zip_derived_cl248])). 42.25/6.01 thf(zip_derived_cl265, plain, 42.25/6.01 (( ('#form40') 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))))), 42.25/6.01 define([status(thm)])). 42.25/6.01 thf(zip_derived_cl275, plain, 42.25/6.01 ((~ ('#form40') 42.25/6.01 | ~ ('#form36') 42.25/6.01 | ~ ('#form30') 42.25/6.01 | ~ ('#form23') 42.25/6.01 | ~ ('#form17') 42.25/6.01 | ~ ('#form13') 42.25/6.01 | ~ ('#form9') 42.25/6.01 | ~ ('#form5') 42.25/6.01 | (rel_s4 @ '#sk2' @ '#sk4') 42.25/6.01 | (rel_s4 @ '#sk2' @ '#sk3') 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/6.01 Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.01 (((!!) @ (^[Y1 : mu]: 42.25/6.01 (((exists_in_world @ Y1 @ Y0) => 42.25/6.01 (((!!) @ (^[Y2 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.01 (((!!) @ (^[Y3 : mu]: 42.25/6.01 (((exists_in_world @ 42.25/6.01 Y3 @ Y2) => 42.25/6.01 (((!!) @ ( 42.25/6.01 ^[Y4 : $i]: 42.25/6.01 (( 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y2 @ Y4))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 z_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))) | 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 u_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y1 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y1 @ 42.25/6.01 n2 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y3 @ 42.25/6.01 pv5 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.01 (((!!) @ (^[Y1 : mu]: 42.25/6.01 (((exists_in_world @ Y1 @ Y0) => 42.25/6.01 (((!!) @ (^[Y2 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.01 (((!!) @ (^[Y3 : mu]: 42.25/6.01 (((exists_in_world @ 42.25/6.01 Y3 @ Y2) => 42.25/6.01 (((!!) @ ( 42.25/6.01 ^[Y4 : $i]: 42.25/6.01 (( 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y2 @ Y4))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 z_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))) | 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 u_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y1 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y1 @ 42.25/6.01 n2 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y3 @ 42.25/6.01 ( 42.25/6.01 minus @ 42.25/6.01 pv5 @ n1) @ 42.25/6.01 Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/6.01 (minus @ n999 @ n1) @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/6.01 | ~ ('#form7') 42.25/6.01 | ~ ('#form11') 42.25/6.01 | ~ ('#form15') 42.25/6.01 | ~ ('#form21') 42.25/6.01 | ~ ('#form27') 42.25/6.01 | ~ ('#form33') 42.25/6.01 | ~ ('#form38') 42.25/6.01 | ~ ('#form42'))), 42.25/6.01 inference('renaming', [status(thm)], 42.25/6.01 [zip_derived_cl270, zip_derived_cl265])). 42.25/6.01 thf(zip_derived_cl275, plain, 42.25/6.01 ((~ ('#form40') 42.25/6.01 | ~ ('#form36') 42.25/6.01 | ~ ('#form30') 42.25/6.01 | ~ ('#form23') 42.25/6.01 | ~ ('#form17') 42.25/6.01 | ~ ('#form13') 42.25/6.01 | ~ ('#form9') 42.25/6.01 | ~ ('#form5') 42.25/6.01 | (rel_s4 @ '#sk2' @ '#sk4') 42.25/6.01 | (rel_s4 @ '#sk2' @ '#sk3') 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/6.01 Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.01 (((!!) @ (^[Y1 : mu]: 42.25/6.01 (((exists_in_world @ Y1 @ Y0) => 42.25/6.01 (((!!) @ (^[Y2 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.01 (((!!) @ (^[Y3 : mu]: 42.25/6.01 (((exists_in_world @ 42.25/6.01 Y3 @ Y2) => 42.25/6.01 (((!!) @ ( 42.25/6.01 ^[Y4 : $i]: 42.25/6.01 (( 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y2 @ Y4))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 z_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))) | 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 u_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y1 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y1 @ 42.25/6.01 n2 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y3 @ 42.25/6.01 pv5 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.01 (((!!) @ (^[Y1 : mu]: 42.25/6.01 (((exists_in_world @ Y1 @ Y0) => 42.25/6.01 (((!!) @ (^[Y2 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.01 (((!!) @ (^[Y3 : mu]: 42.25/6.01 (((exists_in_world @ 42.25/6.01 Y3 @ Y2) => 42.25/6.01 (((!!) @ ( 42.25/6.01 ^[Y4 : $i]: 42.25/6.01 (( 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y2 @ Y4))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 z_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))) | 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 u_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y1 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y1 @ 42.25/6.01 n2 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y3 @ 42.25/6.01 ( 42.25/6.01 minus @ 42.25/6.01 pv5 @ n1) @ 42.25/6.01 Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/6.01 (minus @ n999 @ n1) @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/6.01 | ~ ('#form7') 42.25/6.01 | ~ ('#form11') 42.25/6.01 | ~ ('#form15') 42.25/6.01 | ~ ('#form21') 42.25/6.01 | ~ ('#form27') 42.25/6.01 | ~ ('#form33') 42.25/6.01 | ~ ('#form38') 42.25/6.01 | ~ ('#form42'))), 42.25/6.01 inference('renaming', [status(thm)], 42.25/6.01 [zip_derived_cl270, zip_derived_cl265])). 42.25/6.01 thf(zip_derived_cl282, plain, 42.25/6.01 (( ('#form46') 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))))), 42.25/6.01 define([status(thm)])). 42.25/6.01 thf(zip_derived_cl284, plain, 42.25/6.01 ((~ ('#form46') 42.25/6.01 | ~ ('#form42') 42.25/6.01 | ~ ('#form38') 42.25/6.01 | ~ ('#form33') 42.25/6.01 | ~ ('#form27') 42.25/6.01 | ~ ('#form21') 42.25/6.01 | ~ ('#form15') 42.25/6.01 | ~ ('#form11') 42.25/6.01 | ~ ('#form7') 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/6.01 (minus @ n999 @ n1) @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.01 (((!!) @ (^[Y1 : mu]: 42.25/6.01 (((exists_in_world @ Y1 @ Y0) => 42.25/6.01 (((!!) @ (^[Y2 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.01 (((!!) @ (^[Y3 : mu]: 42.25/6.01 (((exists_in_world @ 42.25/6.01 Y3 @ Y2) => 42.25/6.01 (((!!) @ ( 42.25/6.01 ^[Y4 : $i]: 42.25/6.01 (( 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y2 @ Y4))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 z_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))) | 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 u_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y1 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y1 @ 42.25/6.01 n2 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y3 @ 42.25/6.01 ( 42.25/6.01 minus @ 42.25/6.01 pv5 @ n1) @ 42.25/6.01 Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.01 (((!!) @ (^[Y1 : mu]: 42.25/6.01 (((exists_in_world @ Y1 @ Y0) => 42.25/6.01 (((!!) @ (^[Y2 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.01 (((!!) @ (^[Y3 : mu]: 42.25/6.01 (((exists_in_world @ 42.25/6.01 Y3 @ Y2) => 42.25/6.01 (((!!) @ ( 42.25/6.01 ^[Y4 : $i]: 42.25/6.01 (( 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y2 @ Y4))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 z_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))) | 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 u_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y1 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y1 @ 42.25/6.01 n2 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y3 @ 42.25/6.01 pv5 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/6.01 Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/6.01 | (rel_s4 @ '#sk2' @ '#sk3') 42.25/6.01 | (rel_s4 @ '#sk2' @ '#sk4') 42.25/6.01 | ~ ('#form5') 42.25/6.01 | ~ ('#form9') 42.25/6.01 | ~ ('#form13') 42.25/6.01 | ~ ('#form17') 42.25/6.01 | ~ ('#form23') 42.25/6.01 | ~ ('#form30') 42.25/6.01 | ~ ('#form36') 42.25/6.01 | ~ ('#form40'))), 42.25/6.01 inference('renaming', [status(thm)], 42.25/6.01 [zip_derived_cl275, zip_derived_cl282])). 42.25/6.01 thf(zip_derived_cl252, plain, 42.25/6.01 ((~ ('#form38') 42.25/6.01 | ~ ('#form33') 42.25/6.01 | ~ ('#form27') 42.25/6.01 | ~ ('#form21') 42.25/6.01 | ~ ('#form15') 42.25/6.01 | ~ ('#form11') 42.25/6.01 | ~ ('#form7') 42.25/6.01 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.25/6.01 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.25/6.01 (minus @ n999 @ n1) @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.01 (((!!) @ (^[Y1 : mu]: 42.25/6.01 (((exists_in_world @ Y1 @ Y0) => 42.25/6.01 (((!!) @ (^[Y2 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.01 (((!!) @ (^[Y3 : mu]: 42.25/6.01 (((exists_in_world @ 42.25/6.01 Y3 @ Y2) => 42.25/6.01 (((!!) @ ( 42.25/6.01 ^[Y4 : $i]: 42.25/6.01 (( 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y2 @ Y4))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 z_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))) | 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 u_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y1 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y1 @ 42.25/6.01 n2 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y3 @ 42.25/6.01 ( 42.25/6.01 minus @ 42.25/6.01 pv5 @ n1) @ 42.25/6.01 Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.01 (((!!) @ (^[Y1 : mu]: 42.25/6.01 (((exists_in_world @ Y1 @ Y0) => 42.25/6.01 (((!!) @ (^[Y2 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.01 (((!!) @ (^[Y3 : mu]: 42.25/6.01 (((exists_in_world @ 42.25/6.01 Y3 @ Y2) => 42.25/6.01 (((!!) @ ( 42.25/6.01 ^[Y4 : $i]: 42.25/6.01 (( 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y2 @ Y4))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 z_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))) | 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 u_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y1 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y1 @ 42.25/6.01 n2 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 Y3 @ 42.25/6.01 pv5 @ Y5)))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (leq @ 42.25/6.01 n0 @ 42.25/6.01 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/6.01 Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/6.01 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.25/6.01 | ~ ('#form5') 42.25/6.01 | ~ ('#form9') 42.25/6.01 | ~ ('#form13') 42.25/6.01 | ~ ('#form17') 42.25/6.01 | ~ ('#form23') 42.25/6.01 | ~ ('#form30') 42.25/6.01 | ~ ('#form36'))), 42.25/6.01 inference('renaming', [status(thm)], 42.25/6.01 [zip_derived_cl241, zip_derived_cl248])). 42.25/6.01 thf(zip_derived_cl265, plain, 42.25/6.01 (( ('#form40') 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))))), 42.25/6.01 define([status(thm)])). 42.25/6.01 thf(zip_derived_cl267, plain, 42.25/6.01 ((~ ('#form40') 42.25/6.01 | ~ ('#form36') 42.25/6.01 | ~ ('#form30') 42.25/6.01 | ~ ('#form23') 42.25/6.01 | ~ ('#form17') 42.25/6.01 | ~ ('#form13') 42.25/6.01 | ~ ('#form9') 42.25/6.01 | ~ ('#form5') 42.25/6.01 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.25/6.01 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.25/6.01 Y0)))))) 42.25/6.01 | ~ (((!!) @ (^[Y0 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.25/6.01 (((!!) @ (^[Y1 : mu]: 42.25/6.01 (((exists_in_world @ Y1 @ Y0) => 42.25/6.01 (((!!) @ (^[Y2 : $i]: 42.25/6.01 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.25/6.01 (((!!) @ (^[Y3 : mu]: 42.25/6.01 (((exists_in_world @ 42.25/6.01 Y3 @ Y2) => 42.25/6.01 (((!!) @ ( 42.25/6.01 ^[Y4 : $i]: 42.25/6.01 (( 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y2 @ Y4))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 z_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))) | 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 ^[Y5 : $i]: 42.25/6.01 (( 42.25/6.01 (( 42.25/6.01 (~) @ ( 42.25/6.01 rel_s4 @ 42.25/6.01 Y4 @ Y5))) | 42.25/6.01 (qmltpeq @ 42.25/6.01 ( 42.25/6.01 a_select3 @ 42.25/6.01 u_defuse @ 42.25/6.01 Y1 @ Y3) @ 42.25/6.01 use @ Y5)))))))))))) | 42.25/6.01 ( 42.25/6.01 ( 42.25/6.01 (~) @ ( 42.25/6.01 ( 42.25/6.01 (!!) @ ( 42.25/6.01 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42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.02 (((!!) @ (^[Y1 : mu]: 42.74/6.02 (((exists_in_world @ Y1 @ Y0) => 42.74/6.02 (((!!) @ (^[Y2 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.02 (((!!) @ (^[Y3 : mu]: 42.74/6.02 (((exists_in_world @ 42.74/6.02 Y3 @ Y2) => 42.74/6.02 (((!!) @ ( 42.74/6.02 ^[Y4 : $i]: 42.74/6.02 (( 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y2 @ Y4))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 z_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))) | 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 u_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y1 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y1 @ 42.74/6.02 n2 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y3 @ 42.74/6.02 ( 42.74/6.02 minus @ 42.74/6.02 pv5 @ n1) @ 42.74/6.02 Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.02 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.02 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.02 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.02 | ~ ('#form7') 42.74/6.02 | ~ ('#form11') 42.74/6.02 | ~ ('#form15') 42.74/6.02 | ~ ('#form21') 42.74/6.02 | ~ ('#form27') 42.74/6.02 | ~ ('#form33') 42.74/6.02 | ~ ('#form38'))), 42.74/6.02 inference('renaming', [status(thm)], 42.74/6.02 [zip_derived_cl252, zip_derived_cl265])). 42.74/6.02 thf(zip_derived_cl268, plain, 42.74/6.02 (( ('#form42') 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))))), 42.74/6.02 define([status(thm)])). 42.74/6.02 thf(zip_derived_cl272, plain, 42.74/6.02 ((~ ('#form42') 42.74/6.02 | ~ ('#form38') 42.74/6.02 | ~ ('#form33') 42.74/6.02 | ~ ('#form27') 42.74/6.02 | ~ ('#form21') 42.74/6.02 | ~ ('#form15') 42.74/6.02 | ~ ('#form11') 42.74/6.02 | ~ ('#form7') 42.74/6.02 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.02 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.02 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.02 (((!!) @ (^[Y1 : mu]: 42.74/6.02 (((exists_in_world @ Y1 @ Y0) => 42.74/6.02 (((!!) @ (^[Y2 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.02 (((!!) @ (^[Y3 : mu]: 42.74/6.02 (((exists_in_world @ 42.74/6.02 Y3 @ Y2) => 42.74/6.02 (((!!) @ ( 42.74/6.02 ^[Y4 : $i]: 42.74/6.02 (( 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y2 @ Y4))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 z_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))) | 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 u_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y1 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y1 @ 42.74/6.02 n2 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y3 @ 42.74/6.02 ( 42.74/6.02 minus @ 42.74/6.02 pv5 @ n1) @ 42.74/6.02 Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.02 (((!!) @ (^[Y1 : mu]: 42.74/6.02 (((exists_in_world @ Y1 @ Y0) => 42.74/6.02 (((!!) @ (^[Y2 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.02 (((!!) @ (^[Y3 : mu]: 42.74/6.02 (((exists_in_world @ 42.74/6.02 Y3 @ Y2) => 42.74/6.02 (((!!) @ ( 42.74/6.02 ^[Y4 : $i]: 42.74/6.02 (( 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y2 @ Y4))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 z_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))) | 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 u_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y1 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y1 @ 42.74/6.02 n2 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y3 @ 42.74/6.02 pv5 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.02 Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.02 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.02 | ~ ('#form5') 42.74/6.02 | ~ ('#form9') 42.74/6.02 | ~ ('#form13') 42.74/6.02 | ~ ('#form17') 42.74/6.02 | ~ ('#form23') 42.74/6.02 | ~ ('#form30') 42.74/6.02 | ~ ('#form36') 42.74/6.02 | ~ ('#form40'))), 42.74/6.02 inference('renaming', [status(thm)], 42.74/6.02 [zip_derived_cl267, zip_derived_cl268])). 42.74/6.02 thf(zip_derived_cl279, plain, 42.74/6.02 (( ('#form44') 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))))), 42.74/6.02 define([status(thm)])). 42.74/6.02 thf(zip_derived_cl289, plain, 42.74/6.02 ((~ ('#form44') 42.74/6.02 | ~ ('#form40') 42.74/6.02 | ~ ('#form36') 42.74/6.02 | ~ ('#form30') 42.74/6.02 | ~ ('#form23') 42.74/6.02 | ~ ('#form17') 42.74/6.02 | ~ ('#form13') 42.74/6.02 | ~ ('#form9') 42.74/6.02 | ~ ('#form5') 42.74/6.02 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.02 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.02 Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.02 (((!!) @ (^[Y1 : mu]: 42.74/6.02 (((exists_in_world @ Y1 @ Y0) => 42.74/6.02 (((!!) @ (^[Y2 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.02 (((!!) @ (^[Y3 : mu]: 42.74/6.02 (((exists_in_world @ 42.74/6.02 Y3 @ Y2) => 42.74/6.02 (((!!) @ ( 42.74/6.02 ^[Y4 : $i]: 42.74/6.02 (( 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y2 @ Y4))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 z_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))) | 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 u_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y1 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y1 @ 42.74/6.02 n2 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y3 @ 42.74/6.02 pv5 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.02 (((!!) @ (^[Y1 : mu]: 42.74/6.02 (((exists_in_world @ Y1 @ Y0) => 42.74/6.02 (((!!) @ (^[Y2 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.02 (((!!) @ (^[Y3 : mu]: 42.74/6.02 (((exists_in_world @ 42.74/6.02 Y3 @ Y2) => 42.74/6.02 (((!!) @ ( 42.74/6.02 ^[Y4 : $i]: 42.74/6.02 (( 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y2 @ Y4))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 z_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))) | 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 u_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y1 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y1 @ 42.74/6.02 n2 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y3 @ 42.74/6.02 ( 42.74/6.02 minus @ 42.74/6.02 pv5 @ n1) @ 42.74/6.02 Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.02 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.02 | ~ ('#form7') 42.74/6.02 | ~ ('#form11') 42.74/6.02 | ~ ('#form15') 42.74/6.02 | ~ ('#form21') 42.74/6.02 | ~ ('#form27') 42.74/6.02 | ~ ('#form33') 42.74/6.02 | ~ ('#form38') 42.74/6.02 | ~ ('#form42') 42.74/6.02 | ~ ('#form46'))), 42.74/6.02 inference('renaming', [status(thm)], 42.74/6.02 [zip_derived_cl284, zip_derived_cl279])). 42.74/6.02 thf(zip_derived_cl289, plain, 42.74/6.02 ((~ ('#form44') 42.74/6.02 | ~ ('#form40') 42.74/6.02 | ~ ('#form36') 42.74/6.02 | ~ ('#form30') 42.74/6.02 | ~ ('#form23') 42.74/6.02 | ~ ('#form17') 42.74/6.02 | ~ ('#form13') 42.74/6.02 | ~ ('#form9') 42.74/6.02 | ~ ('#form5') 42.74/6.02 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.02 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.02 Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.02 (((!!) @ (^[Y1 : mu]: 42.74/6.02 (((exists_in_world @ Y1 @ Y0) => 42.74/6.02 (((!!) @ (^[Y2 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.02 (((!!) @ (^[Y3 : mu]: 42.74/6.02 (((exists_in_world @ 42.74/6.02 Y3 @ Y2) => 42.74/6.02 (((!!) @ ( 42.74/6.02 ^[Y4 : $i]: 42.74/6.02 (( 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y2 @ Y4))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 z_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))) | 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 u_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y1 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y1 @ 42.74/6.02 n2 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y3 @ 42.74/6.02 pv5 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.02 (((!!) @ (^[Y1 : mu]: 42.74/6.02 (((exists_in_world @ Y1 @ Y0) => 42.74/6.02 (((!!) @ (^[Y2 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.02 (((!!) @ (^[Y3 : mu]: 42.74/6.02 (((exists_in_world @ 42.74/6.02 Y3 @ Y2) => 42.74/6.02 (((!!) @ ( 42.74/6.02 ^[Y4 : $i]: 42.74/6.02 (( 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y2 @ Y4))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 z_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))) | 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 u_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y1 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y1 @ 42.74/6.02 n2 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y3 @ 42.74/6.02 ( 42.74/6.02 minus @ 42.74/6.02 pv5 @ n1) @ 42.74/6.02 Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.02 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.02 | ~ ('#form7') 42.74/6.02 | ~ ('#form11') 42.74/6.02 | ~ ('#form15') 42.74/6.02 | ~ ('#form21') 42.74/6.02 | ~ ('#form27') 42.74/6.02 | ~ ('#form33') 42.74/6.02 | ~ ('#form38') 42.74/6.02 | ~ ('#form42') 42.74/6.02 | ~ ('#form46'))), 42.74/6.02 inference('renaming', [status(thm)], 42.74/6.02 [zip_derived_cl284, zip_derived_cl279])). 42.74/6.02 thf(zip_derived_cl296, plain, 42.74/6.02 (( ('#form50') 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))))), 42.74/6.02 define([status(thm)])). 42.74/6.02 thf(zip_derived_cl298, plain, 42.74/6.02 ((~ ('#form50') 42.74/6.02 | ~ ('#form46') 42.74/6.02 | ~ ('#form42') 42.74/6.02 | ~ ('#form38') 42.74/6.02 | ~ ('#form33') 42.74/6.02 | ~ ('#form27') 42.74/6.02 | ~ ('#form21') 42.74/6.02 | ~ ('#form15') 42.74/6.02 | ~ ('#form11') 42.74/6.02 | ~ ('#form7') 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.02 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.02 (((!!) @ (^[Y1 : mu]: 42.74/6.02 (((exists_in_world @ Y1 @ Y0) => 42.74/6.02 (((!!) @ (^[Y2 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.02 (((!!) @ (^[Y3 : mu]: 42.74/6.02 (((exists_in_world @ 42.74/6.02 Y3 @ Y2) => 42.74/6.02 (((!!) @ ( 42.74/6.02 ^[Y4 : $i]: 42.74/6.02 (( 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y2 @ Y4))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 z_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))) | 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 u_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y1 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y1 @ 42.74/6.02 n2 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y3 @ 42.74/6.02 ( 42.74/6.02 minus @ 42.74/6.02 pv5 @ n1) @ 42.74/6.02 Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.02 (((!!) @ (^[Y1 : mu]: 42.74/6.02 (((exists_in_world @ Y1 @ Y0) => 42.74/6.02 (((!!) @ (^[Y2 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.02 (((!!) @ (^[Y3 : mu]: 42.74/6.02 (((exists_in_world @ 42.74/6.02 Y3 @ Y2) => 42.74/6.02 (((!!) @ ( 42.74/6.02 ^[Y4 : $i]: 42.74/6.02 (( 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y2 @ Y4))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 z_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))) | 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (qmltpeq @ 42.74/6.02 ( 42.74/6.02 a_select3 @ 42.74/6.02 u_defuse @ 42.74/6.02 Y1 @ Y3) @ 42.74/6.02 use @ Y5)))))))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y1 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y1 @ 42.74/6.02 n2 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 Y3 @ 42.74/6.02 pv5 @ Y5)))))))) | 42.74/6.02 ( 42.74/6.02 ( 42.74/6.02 (~) @ ( 42.74/6.02 ( 42.74/6.02 (!!) @ ( 42.74/6.02 ^[Y5 : $i]: 42.74/6.02 (( 42.74/6.02 (( 42.74/6.02 (~) @ ( 42.74/6.02 rel_s4 @ 42.74/6.02 Y4 @ Y5))) | 42.74/6.02 (leq @ 42.74/6.02 n0 @ 42.74/6.02 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.02 Y0)))))) 42.74/6.02 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.02 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.02 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.02 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.02 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.02 | ~ ('#form5') 42.74/6.02 | ~ ('#form9') 42.74/6.02 | ~ ('#form13') 42.74/6.03 | ~ ('#form17') 42.74/6.03 | ~ ('#form23') 42.74/6.03 | ~ ('#form30') 42.74/6.03 | ~ ('#form36') 42.74/6.03 | ~ ('#form40') 42.74/6.03 | ~ ('#form44'))), 42.74/6.03 inference('renaming', [status(thm)], 42.74/6.03 [zip_derived_cl289, zip_derived_cl296])). 42.74/6.03 thf(zip_derived_cl272, plain, 42.74/6.03 ((~ ('#form42') 42.74/6.03 | ~ ('#form38') 42.74/6.03 | ~ ('#form33') 42.74/6.03 | ~ ('#form27') 42.74/6.03 | ~ ('#form21') 42.74/6.03 | ~ ('#form15') 42.74/6.03 | ~ ('#form11') 42.74/6.03 | ~ ('#form7') 42.74/6.03 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.03 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.03 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 ( 42.74/6.03 minus @ 42.74/6.03 pv5 @ n1) @ 42.74/6.03 Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 pv5 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.03 Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.03 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.03 | ~ ('#form5') 42.74/6.03 | ~ ('#form9') 42.74/6.03 | ~ ('#form13') 42.74/6.03 | ~ ('#form17') 42.74/6.03 | ~ ('#form23') 42.74/6.03 | ~ ('#form30') 42.74/6.03 | ~ ('#form36') 42.74/6.03 | ~ ('#form40'))), 42.74/6.03 inference('renaming', [status(thm)], 42.74/6.03 [zip_derived_cl267, zip_derived_cl268])). 42.74/6.03 thf(zip_derived_cl279, plain, 42.74/6.03 (( ('#form44') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))))), 42.74/6.03 define([status(thm)])). 42.74/6.03 thf(zip_derived_cl281, plain, 42.74/6.03 ((~ ('#form44') 42.74/6.03 | ~ ('#form40') 42.74/6.03 | ~ ('#form36') 42.74/6.03 | ~ ('#form30') 42.74/6.03 | ~ ('#form23') 42.74/6.03 | ~ ('#form17') 42.74/6.03 | ~ ('#form13') 42.74/6.03 | ~ ('#form9') 42.74/6.03 | ~ ('#form5') 42.74/6.03 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.03 Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 pv5 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 ( 42.74/6.03 minus @ 42.74/6.03 pv5 @ n1) @ 42.74/6.03 Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.03 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.03 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.03 | ~ ('#form7') 42.74/6.03 | ~ ('#form11') 42.74/6.03 | ~ ('#form15') 42.74/6.03 | ~ ('#form21') 42.74/6.03 | ~ ('#form27') 42.74/6.03 | ~ ('#form33') 42.74/6.03 | ~ ('#form38') 42.74/6.03 | ~ ('#form42'))), 42.74/6.03 inference('renaming', [status(thm)], 42.74/6.03 [zip_derived_cl272, zip_derived_cl279])). 42.74/6.03 thf(zip_derived_cl282, plain, 42.74/6.03 (( ('#form46') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))))), 42.74/6.03 define([status(thm)])). 42.74/6.03 thf(zip_derived_cl286, plain, 42.74/6.03 ((~ ('#form46') 42.74/6.03 | ~ ('#form42') 42.74/6.03 | ~ ('#form38') 42.74/6.03 | ~ ('#form33') 42.74/6.03 | ~ ('#form27') 42.74/6.03 | ~ ('#form21') 42.74/6.03 | ~ ('#form15') 42.74/6.03 | ~ ('#form11') 42.74/6.03 | ~ ('#form7') 42.74/6.03 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.03 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.03 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 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42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 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@ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.03 Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.03 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.03 | ~ ('#form5') 42.74/6.03 | ~ ('#form9') 42.74/6.03 | ~ ('#form13') 42.74/6.03 | ~ ('#form17') 42.74/6.03 | ~ ('#form23') 42.74/6.03 | ~ ('#form30') 42.74/6.03 | ~ ('#form36') 42.74/6.03 | ~ ('#form40') 42.74/6.03 | ~ ('#form44'))), 42.74/6.03 inference('renaming', [status(thm)], 42.74/6.03 [zip_derived_cl281, zip_derived_cl282])). 42.74/6.03 thf(zip_derived_cl293, plain, 42.74/6.03 (( ('#form48') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))))), 42.74/6.03 define([status(thm)])). 42.74/6.03 thf(zip_derived_cl303, plain, 42.74/6.03 ((~ ('#form48') 42.74/6.03 | ~ ('#form44') 42.74/6.03 | ~ ('#form40') 42.74/6.03 | ~ ('#form36') 42.74/6.03 | ~ ('#form30') 42.74/6.03 | ~ ('#form23') 42.74/6.03 | ~ ('#form17') 42.74/6.03 | ~ ('#form13') 42.74/6.03 | ~ ('#form9') 42.74/6.03 | ~ ('#form5') 42.74/6.03 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.03 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ 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xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ ('#form7') 42.74/6.03 | ~ ('#form11') 42.74/6.03 | ~ ('#form15') 42.74/6.03 | ~ ('#form21') 42.74/6.03 | ~ ('#form27') 42.74/6.03 | ~ ('#form33') 42.74/6.03 | ~ ('#form38') 42.74/6.03 | ~ ('#form42') 42.74/6.03 | ~ ('#form46') 42.74/6.03 | ~ ('#form50'))), 42.74/6.03 inference('renaming', [status(thm)], 42.74/6.03 [zip_derived_cl298, zip_derived_cl293])). 42.74/6.03 thf(zip_derived_cl303, plain, 42.74/6.03 ((~ ('#form48') 42.74/6.03 | ~ ('#form44') 42.74/6.03 | ~ ('#form40') 42.74/6.03 | ~ ('#form36') 42.74/6.03 | ~ ('#form30') 42.74/6.03 | ~ ('#form23') 42.74/6.03 | ~ ('#form17') 42.74/6.03 | ~ ('#form13') 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$i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 ( 42.74/6.03 minus @ 42.74/6.03 pv5 @ n1) @ 42.74/6.03 Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.03 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ ('#form7') 42.74/6.03 | ~ ('#form11') 42.74/6.03 | ~ ('#form15') 42.74/6.03 | ~ ('#form21') 42.74/6.03 | ~ ('#form27') 42.74/6.03 | ~ ('#form33') 42.74/6.03 | ~ ('#form38') 42.74/6.03 | ~ ('#form42') 42.74/6.03 | ~ ('#form46') 42.74/6.03 | ~ ('#form50'))), 42.74/6.03 inference('renaming', [status(thm)], 42.74/6.03 [zip_derived_cl298, zip_derived_cl293])). 42.74/6.03 thf(zip_derived_cl310, plain, 42.74/6.03 (( ('#form54') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))))), 42.74/6.03 define([status(thm)])). 42.74/6.03 thf(zip_derived_cl312, plain, 42.74/6.03 ((~ ('#form54') 42.74/6.03 | ~ ('#form50') 42.74/6.03 | ~ ('#form46') 42.74/6.03 | ~ ('#form42') 42.74/6.03 | ~ ('#form38') 42.74/6.03 | ~ ('#form33') 42.74/6.03 | ~ ('#form27') 42.74/6.03 | ~ ('#form21') 42.74/6.03 | ~ ('#form15') 42.74/6.03 | ~ ('#form11') 42.74/6.03 | ~ ('#form7') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.03 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 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42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 pv5 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.03 Y0)))))) 42.74/6.03 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.03 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.03 | ~ ('#form5') 42.74/6.03 | ~ ('#form9') 42.74/6.03 | ~ ('#form13') 42.74/6.03 | ~ ('#form17') 42.74/6.03 | ~ ('#form23') 42.74/6.03 | ~ ('#form30') 42.74/6.03 | ~ ('#form36') 42.74/6.03 | ~ ('#form40') 42.74/6.03 | ~ ('#form44') 42.74/6.03 | ~ ('#form48'))), 42.74/6.03 inference('renaming', [status(thm)], 42.74/6.03 [zip_derived_cl303, zip_derived_cl310])). 42.74/6.03 thf(zip_derived_cl286, plain, 42.74/6.03 ((~ ('#form46') 42.74/6.03 | ~ ('#form42') 42.74/6.03 | ~ ('#form38') 42.74/6.03 | ~ ('#form33') 42.74/6.03 | ~ ('#form27') 42.74/6.03 | ~ ('#form21') 42.74/6.03 | ~ ('#form15') 42.74/6.03 | ~ ('#form11') 42.74/6.03 | ~ ('#form7') 42.74/6.03 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.03 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.03 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 ( 42.74/6.03 minus @ 42.74/6.03 pv5 @ n1) @ 42.74/6.03 Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 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42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 pv5 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.03 Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.03 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.03 | ~ ('#form5') 42.74/6.03 | ~ ('#form9') 42.74/6.03 | ~ ('#form13') 42.74/6.03 | ~ ('#form17') 42.74/6.03 | ~ ('#form23') 42.74/6.03 | ~ ('#form30') 42.74/6.03 | ~ ('#form36') 42.74/6.03 | ~ ('#form40') 42.74/6.03 | ~ ('#form44'))), 42.74/6.03 inference('renaming', [status(thm)], 42.74/6.03 [zip_derived_cl281, zip_derived_cl282])). 42.74/6.03 thf(zip_derived_cl293, plain, 42.74/6.03 (( ('#form48') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))))), 42.74/6.03 define([status(thm)])). 42.74/6.03 thf(zip_derived_cl295, plain, 42.74/6.03 ((~ ('#form48') 42.74/6.03 | ~ ('#form44') 42.74/6.03 | ~ ('#form40') 42.74/6.03 | ~ ('#form36') 42.74/6.03 | ~ ('#form30') 42.74/6.03 | ~ ('#form23') 42.74/6.03 | ~ ('#form17') 42.74/6.03 | ~ ('#form13') 42.74/6.03 | ~ ('#form9') 42.74/6.03 | ~ ('#form5') 42.74/6.03 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.03 Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 pv5 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 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42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 ( 42.74/6.03 minus @ 42.74/6.03 pv5 @ n1) @ 42.74/6.03 Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.03 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.03 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.03 | ~ ('#form7') 42.74/6.03 | ~ ('#form11') 42.74/6.03 | ~ ('#form15') 42.74/6.03 | ~ ('#form21') 42.74/6.03 | ~ ('#form27') 42.74/6.03 | ~ ('#form33') 42.74/6.03 | ~ ('#form38') 42.74/6.03 | ~ ('#form42') 42.74/6.03 | ~ ('#form46'))), 42.74/6.03 inference('renaming', [status(thm)], 42.74/6.03 [zip_derived_cl286, zip_derived_cl293])). 42.74/6.03 thf(zip_derived_cl296, plain, 42.74/6.03 (( ('#form50') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))))), 42.74/6.03 define([status(thm)])). 42.74/6.03 thf(zip_derived_cl300, plain, 42.74/6.03 ((~ ('#form50') 42.74/6.03 | ~ ('#form46') 42.74/6.03 | ~ ('#form42') 42.74/6.03 | ~ ('#form38') 42.74/6.03 | ~ ('#form33') 42.74/6.03 | ~ ('#form27') 42.74/6.03 | ~ ('#form21') 42.74/6.03 | ~ ('#form15') 42.74/6.03 | ~ ('#form11') 42.74/6.03 | ~ ('#form7') 42.74/6.03 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.03 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.03 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 ( 42.74/6.03 minus @ 42.74/6.03 pv5 @ n1) @ 42.74/6.03 Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 pv5 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.03 Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.03 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.03 | ~ ('#form5') 42.74/6.03 | ~ ('#form9') 42.74/6.03 | ~ ('#form13') 42.74/6.03 | ~ ('#form17') 42.74/6.03 | ~ ('#form23') 42.74/6.03 | ~ ('#form30') 42.74/6.03 | ~ ('#form36') 42.74/6.03 | ~ ('#form40') 42.74/6.03 | ~ ('#form44') 42.74/6.03 | ~ ('#form48'))), 42.74/6.03 inference('renaming', [status(thm)], 42.74/6.03 [zip_derived_cl295, zip_derived_cl296])). 42.74/6.03 thf(zip_derived_cl307, plain, 42.74/6.03 (( ('#form52') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))))), 42.74/6.03 define([status(thm)])). 42.74/6.03 thf(zip_derived_cl317, plain, 42.74/6.03 ((~ ('#form52') 42.74/6.03 | ~ ('#form48') 42.74/6.03 | ~ ('#form44') 42.74/6.03 | ~ ('#form40') 42.74/6.03 | ~ ('#form36') 42.74/6.03 | ~ ('#form30') 42.74/6.03 | ~ ('#form23') 42.74/6.03 | ~ ('#form17') 42.74/6.03 | ~ ('#form13') 42.74/6.03 | ~ ('#form9') 42.74/6.03 | ~ ('#form5') 42.74/6.03 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.03 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.03 Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 pv5 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 ( 42.74/6.03 minus @ 42.74/6.03 pv5 @ n1) @ 42.74/6.03 Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.03 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ ('#form7') 42.74/6.03 | ~ ('#form11') 42.74/6.03 | ~ ('#form15') 42.74/6.03 | ~ ('#form21') 42.74/6.03 | ~ ('#form27') 42.74/6.03 | ~ ('#form33') 42.74/6.03 | ~ ('#form38') 42.74/6.03 | ~ ('#form42') 42.74/6.03 | ~ ('#form46') 42.74/6.03 | ~ ('#form50') 42.74/6.03 | ~ ('#form54'))), 42.74/6.03 inference('renaming', [status(thm)], 42.74/6.03 [zip_derived_cl312, zip_derived_cl307])). 42.74/6.03 thf(zip_derived_cl21, plain, 42.74/6.03 ( (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 ((( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 pv5 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5)))))))))))))))))))))))))))))))))), 42.74/6.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.03 thf(zip_derived_cl53, plain, 42.74/6.03 (![X2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | 42.74/6.03 (((!!) @ (^[Y0 : mu]: 42.74/6.03 (((exists_in_world @ Y0 @ X2) => 42.74/6.03 (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X2 @ Y1))) | 42.74/6.03 (((!!) @ (^[Y2 : mu]: 42.74/6.03 (((exists_in_world @ Y2 @ 42.74/6.03 Y1) => 42.74/6.03 (((!!) @ (^[Y3 : $i]: 42.74/6.03 (((((~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y1 @ Y3))) | 42.74/6.03 (((~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y0 @ Y2) @ 42.74/6.03 use @ Y4)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y0 @ Y2) @ 42.74/6.03 use @ Y4)))))))))))) | 42.74/6.03 (((~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y0 @ Y4)))))))) | 42.74/6.03 (((~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (leq @ 42.74/6.03 Y0 @ 42.74/6.03 n2 @ Y4)))))))) | 42.74/6.03 (((~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (leq @ 42.74/6.03 Y2 @ 42.74/6.03 pv5 @ Y4)))))))) | 42.74/6.03 (((~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y2 @ Y4))))))))))))))))))))))))))))))), 42.74/6.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])). 42.74/6.03 thf(zip_derived_cl85, plain, 42.74/6.03 (![X2 : $i]: 42.74/6.03 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.03 | (((!!) @ (^[Y0 : mu]: 42.74/6.03 (((exists_in_world @ Y0 @ X2) => 42.74/6.03 (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X2 @ Y1))) | 42.74/6.03 (((!!) @ (^[Y2 : mu]: 42.74/6.03 (((exists_in_world @ Y2 @ 42.74/6.03 Y1) => 42.74/6.03 (((!!) @ (^[Y3 : $i]: 42.74/6.03 (((( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y1 @ Y3))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y0 @ Y2) @ 42.74/6.03 use @ Y4)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y0 @ Y2) @ 42.74/6.03 use @ Y4)))))))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y0 @ Y4)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (leq @ 42.74/6.03 Y0 @ 42.74/6.03 n2 @ Y4)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (leq @ 42.74/6.03 Y2 @ 42.74/6.03 pv5 @ Y4)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y3 @ Y4))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y2 @ Y4)))))))))))))))))))))))))))))), 42.74/6.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl53])). 42.74/6.03 thf(zip_derived_cl103, plain, 42.74/6.03 (![X2 : $i, X4 : mu]: 42.74/6.03 ( (((exists_in_world @ X4 @ X2) => 42.74/6.03 (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X2 @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ 42.74/6.03 Y2))) | 42.74/6.03 (((~) @ (((((~) @ ( 42.74/6.03 ((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 X4 @ Y1) @ 42.74/6.03 use @ Y3)))))))) | 42.74/6.03 (((~) @ ( 42.74/6.03 ((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 X4 @ Y1) @ 42.74/6.03 use @ Y3)))))))))))) | 42.74/6.03 (((~) @ (((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 (((( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ X4 @ 42.74/6.03 Y3)))))))) | 42.74/6.03 (((~) @ (((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 (((( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (leq @ 42.74/6.03 X4 @ n2 @ 42.74/6.03 Y3)))))))) | 42.74/6.03 (((~) @ (((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 (((( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 pv5 @ Y3)))))))) | 42.74/6.03 (((~) @ (((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 (((( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ Y1 @ 42.74/6.03 Y3))))))))))))))))))))))))) 42.74/6.03 | ~ (rel_s4 @ '#sk2' @ X2))), 42.74/6.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])). 42.74/6.03 thf(zip_derived_cl107, plain, 42.74/6.03 (![X2 : $i, X4 : mu]: 42.74/6.03 (~ (exists_in_world @ X4 @ X2) 42.74/6.03 | (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X2 @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ 42.74/6.03 Y2))) | 42.74/6.03 (((~) @ (((((~) @ ( 42.74/6.03 ((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 X4 @ Y1) @ 42.74/6.03 use @ Y3)))))))) | 42.74/6.03 (((~) @ ( 42.74/6.03 ((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 X4 @ Y1) @ 42.74/6.03 use @ Y3)))))))))))) | 42.74/6.03 (((~) @ (((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 (((( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ X4 @ 42.74/6.03 Y3)))))))) | 42.74/6.03 (((~) @ (((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 (((( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (leq @ 42.74/6.03 X4 @ n2 @ 42.74/6.03 Y3)))))))) | 42.74/6.03 (((~) @ (((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 (((( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 pv5 @ Y3)))))))) | 42.74/6.03 (((~) @ (((!!) @ ( 42.74/6.03 ^[Y3 : $i]: 42.74/6.03 (((( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y3))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ Y1 @ 42.74/6.03 Y3))))))))))))))))))))))) 42.74/6.03 | ~ (rel_s4 @ '#sk2' @ X2))), 42.74/6.03 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 42.74/6.03 thf(zip_derived_cl114, plain, 42.74/6.03 (![X2 : $i, X4 : mu, X6 : $i]: 42.74/6.03 ( (((((~) @ (rel_s4 @ X2 @ X6))) | 42.74/6.03 (((!!) @ (^[Y0 : mu]: 42.74/6.03 (((exists_in_world @ Y0 @ X6) => 42.74/6.03 (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X6 @ Y1))) | 42.74/6.03 (((~) @ (((((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y1 @ Y2))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 X4 @ Y0) @ 42.74/6.03 use @ Y2)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y1 @ Y2))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 X4 @ Y0) @ 42.74/6.03 use @ Y2)))))))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ ( 42.74/6.03 rel_s4 @ Y1 @ 42.74/6.03 Y2))) | 42.74/6.03 (leq @ n0 @ 42.74/6.03 X4 @ Y2)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ ( 42.74/6.03 rel_s4 @ Y1 @ 42.74/6.03 Y2))) | 42.74/6.03 (leq @ X4 @ 42.74/6.03 n2 @ Y2)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ ( 42.74/6.03 rel_s4 @ Y1 @ 42.74/6.03 Y2))) | 42.74/6.03 (leq @ Y0 @ 42.74/6.03 pv5 @ Y2)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ ( 42.74/6.03 rel_s4 @ Y1 @ 42.74/6.03 Y2))) | 42.74/6.03 (leq @ n0 @ 42.74/6.03 Y0 @ Y2)))))))))))))))))))) 42.74/6.03 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.03 | ~ (exists_in_world @ X4 @ X2))), 42.74/6.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl107])). 42.74/6.03 thf(zip_derived_cl123, plain, 42.74/6.03 (![X2 : $i, X4 : mu, X6 : $i]: 42.74/6.03 (~ (rel_s4 @ X2 @ X6) 42.74/6.03 | (((!!) @ (^[Y0 : mu]: 42.74/6.03 (((exists_in_world @ Y0 @ X6) => 42.74/6.03 (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X6 @ Y1))) | 42.74/6.03 (((~) @ (((((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y1 @ Y2))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 X4 @ Y0) @ 42.74/6.03 use @ Y2)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y1 @ Y2))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 X4 @ Y0) @ 42.74/6.03 use @ Y2)))))))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ ( 42.74/6.03 rel_s4 @ Y1 @ 42.74/6.03 Y2))) | 42.74/6.03 (leq @ n0 @ 42.74/6.03 X4 @ Y2)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ ( 42.74/6.03 rel_s4 @ Y1 @ 42.74/6.03 Y2))) | 42.74/6.03 (leq @ X4 @ 42.74/6.03 n2 @ Y2)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ ( 42.74/6.03 rel_s4 @ Y1 @ 42.74/6.03 Y2))) | 42.74/6.03 (leq @ Y0 @ 42.74/6.03 pv5 @ Y2)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ ( 42.74/6.03 rel_s4 @ Y1 @ 42.74/6.03 Y2))) | 42.74/6.03 (leq @ n0 @ 42.74/6.03 Y0 @ Y2)))))))))))))))))) 42.74/6.03 | ~ (exists_in_world @ X4 @ X2) 42.74/6.03 | ~ (rel_s4 @ '#sk2' @ X2))), 42.74/6.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl114])). 42.74/6.03 thf(zip_derived_cl132, plain, 42.74/6.03 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu]: 42.74/6.03 ( (((exists_in_world @ X8 @ X6) => 42.74/6.03 (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X6 @ Y0))) | 42.74/6.03 (((~) @ (((((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ 42.74/6.03 Y0 @ Y1))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 (a_select3 @ 42.74/6.03 z_defuse @ X4 @ X8) @ 42.74/6.03 use @ Y1)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ 42.74/6.03 Y0 @ Y1))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 (a_select3 @ 42.74/6.03 u_defuse @ X4 @ X8) @ 42.74/6.03 use @ Y1)))))))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.03 (leq @ n0 @ X4 @ Y1)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.03 (leq @ X4 @ n2 @ Y1)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.03 (leq @ X8 @ pv5 @ Y1)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.03 (leq @ n0 @ X8 @ Y1))))))))))))))) 42.74/6.03 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.03 | ~ (exists_in_world @ X4 @ X2) 42.74/6.03 | ~ (rel_s4 @ X2 @ X6))), 42.74/6.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl123])). 42.74/6.03 thf(zip_derived_cl141, plain, 42.74/6.03 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu]: 42.74/6.03 (~ (exists_in_world @ X8 @ X6) 42.74/6.03 | (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X6 @ Y0))) | 42.74/6.03 (((~) @ (((((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ 42.74/6.03 Y0 @ Y1))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 (a_select3 @ 42.74/6.03 z_defuse @ X4 @ X8) @ 42.74/6.03 use @ Y1)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ 42.74/6.03 Y0 @ Y1))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 (a_select3 @ 42.74/6.03 u_defuse @ X4 @ X8) @ 42.74/6.03 use @ Y1)))))))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.03 (leq @ n0 @ X4 @ Y1)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.03 (leq @ X4 @ n2 @ Y1)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.03 (leq @ X8 @ pv5 @ Y1)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.03 (leq @ n0 @ X8 @ Y1))))))))))))) 42.74/6.03 | ~ (rel_s4 @ X2 @ X6) 42.74/6.03 | ~ (exists_in_world @ X4 @ X2) 42.74/6.03 | ~ (rel_s4 @ '#sk2' @ X2))), 42.74/6.03 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl132])). 42.74/6.03 thf(zip_derived_cl150, plain, 42.74/6.03 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.03 ( (((((~) @ (rel_s4 @ X6 @ X10))) | 42.74/6.03 (((~) @ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 (a_select3 @ z_defuse @ X4 @ X8) @ 42.74/6.03 use @ Y0)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 (a_select3 @ u_defuse @ X4 @ X8) @ 42.74/6.03 use @ Y0)))))))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ 42.74/6.03 X4 @ Y0)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ 42.74/6.03 n2 @ Y0)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ 42.74/6.03 pv5 @ Y0)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ 42.74/6.03 X8 @ Y0)))))))))) 42.74/6.03 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.03 | ~ (exists_in_world @ X4 @ X2) 42.74/6.03 | ~ (rel_s4 @ X2 @ X6) 42.74/6.03 | ~ (exists_in_world @ X8 @ X6))), 42.74/6.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl141])). 42.74/6.03 thf(zip_derived_cl159, plain, 42.74/6.03 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.03 (~ (rel_s4 @ X6 @ X10) 42.74/6.03 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.03 Y0)))))))) | 42.74/6.03 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.03 Y0)))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.03 Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.03 Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ pv5 @ 42.74/6.03 Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X8 @ 42.74/6.03 Y0)))))) 42.74/6.03 | ~ (exists_in_world @ X8 @ X6) 42.74/6.03 | ~ (rel_s4 @ X2 @ X6) 42.74/6.03 | ~ (exists_in_world @ X4 @ X2) 42.74/6.03 | ~ (rel_s4 @ '#sk2' @ X2))), 42.74/6.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl150])). 42.74/6.03 thf(zip_derived_cl169, plain, 42.74/6.03 (![X4 : mu, X10 : $i]: 42.74/6.03 ( ('#form19' @ X4 @ X10) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.03 Y0)))))))), 42.74/6.03 define([status(thm)])). 42.74/6.03 thf(zip_derived_cl324, plain, 42.74/6.03 ((~ ('#form19' @ pv5 @ '#sk2') 42.74/6.03 | ~ ('#form54') 42.74/6.03 | ~ ('#form50') 42.74/6.03 | ~ ('#form46') 42.74/6.03 | ~ ('#form42') 42.74/6.03 | ~ ('#form38') 42.74/6.03 | ~ ('#form33') 42.74/6.03 | ~ ('#form27') 42.74/6.03 | ~ ('#form21') 42.74/6.03 | ~ ('#form15') 42.74/6.03 | ~ ('#form11') 42.74/6.03 | ~ ('#form7') 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.03 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.03 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 z_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))) | 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.03 ( 42.74/6.03 a_select3 @ 42.74/6.03 u_defuse @ 42.74/6.03 Y1 @ Y3) @ 42.74/6.03 use @ Y5)))))))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y1 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y1 @ 42.74/6.03 n2 @ Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 Y3 @ 42.74/6.03 ( 42.74/6.03 minus @ 42.74/6.03 pv5 @ n1) @ 42.74/6.03 Y5)))))))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (leq @ 42.74/6.03 n0 @ 42.74/6.03 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.03 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.03 (((!!) @ (^[Y1 : mu]: 42.74/6.03 (((exists_in_world @ Y1 @ Y0) => 42.74/6.03 (((!!) @ (^[Y2 : $i]: 42.74/6.03 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.03 (((!!) @ (^[Y3 : mu]: 42.74/6.03 (((exists_in_world @ 42.74/6.03 Y3 @ Y2) => 42.74/6.03 (((!!) @ ( 42.74/6.03 ^[Y4 : $i]: 42.74/6.03 (( 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y2 @ Y4))) | 42.74/6.03 ( 42.74/6.03 ( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 ( 42.74/6.03 (!!) @ ( 42.74/6.03 ^[Y5 : $i]: 42.74/6.03 (( 42.74/6.03 (( 42.74/6.03 (~) @ ( 42.74/6.03 rel_s4 @ 42.74/6.03 Y4 @ Y5))) | 42.74/6.03 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 pv5 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.04 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.04 | ~ ('#form5') 42.74/6.04 | ~ ('#form9') 42.74/6.04 | ~ ('#form13') 42.74/6.04 | ~ ('#form17') 42.74/6.04 | ~ ('#form23') 42.74/6.04 | ~ ('#form30') 42.74/6.04 | ~ ('#form36') 42.74/6.04 | ~ ('#form40') 42.74/6.04 | ~ ('#form44') 42.74/6.04 | ~ ('#form48') 42.74/6.04 | ~ ('#form52'))), 42.74/6.04 inference('renaming', [status(thm)], 42.74/6.04 [zip_derived_cl317, zip_derived_cl169])). 42.74/6.04 thf(zip_derived_cl300, plain, 42.74/6.04 ((~ ('#form50') 42.74/6.04 | ~ ('#form46') 42.74/6.04 | ~ ('#form42') 42.74/6.04 | ~ ('#form38') 42.74/6.04 | ~ ('#form33') 42.74/6.04 | ~ ('#form27') 42.74/6.04 | ~ ('#form21') 42.74/6.04 | ~ ('#form15') 42.74/6.04 | ~ ('#form11') 42.74/6.04 | ~ ('#form7') 42.74/6.04 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.04 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.04 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 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(((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 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'#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.04 Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.04 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.04 | ~ ('#form5') 42.74/6.04 | ~ ('#form9') 42.74/6.04 | ~ ('#form13') 42.74/6.04 | ~ ('#form17') 42.74/6.04 | ~ ('#form23') 42.74/6.04 | ~ ('#form30') 42.74/6.04 | ~ ('#form36') 42.74/6.04 | ~ ('#form40') 42.74/6.04 | ~ ('#form44') 42.74/6.04 | ~ ('#form48'))), 42.74/6.04 inference('renaming', [status(thm)], 42.74/6.04 [zip_derived_cl295, zip_derived_cl296])). 42.74/6.04 thf(zip_derived_cl307, plain, 42.74/6.04 (( ('#form52') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))))), 42.74/6.04 define([status(thm)])). 42.74/6.04 thf(zip_derived_cl309, plain, 42.74/6.04 ((~ ('#form52') 42.74/6.04 | ~ ('#form48') 42.74/6.04 | ~ ('#form44') 42.74/6.04 | ~ ('#form40') 42.74/6.04 | ~ ('#form36') 42.74/6.04 | ~ ('#form30') 42.74/6.04 | ~ ('#form23') 42.74/6.04 | ~ ('#form17') 42.74/6.04 | ~ ('#form13') 42.74/6.04 | ~ ('#form9') 42.74/6.04 | ~ ('#form5') 42.74/6.04 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.04 Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 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42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 pv5 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.04 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.04 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.04 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.04 | ~ ('#form7') 42.74/6.04 | ~ ('#form11') 42.74/6.04 | ~ ('#form15') 42.74/6.04 | ~ ('#form21') 42.74/6.04 | ~ ('#form27') 42.74/6.04 | ~ ('#form33') 42.74/6.04 | ~ ('#form38') 42.74/6.04 | ~ ('#form42') 42.74/6.04 | ~ ('#form46') 42.74/6.04 | ~ ('#form50'))), 42.74/6.04 inference('renaming', [status(thm)], 42.74/6.04 [zip_derived_cl300, zip_derived_cl307])). 42.74/6.04 thf(zip_derived_cl310, plain, 42.74/6.04 (( ('#form54') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))))), 42.74/6.04 define([status(thm)])). 42.74/6.04 thf(zip_derived_cl314, plain, 42.74/6.04 ((~ ('#form54') 42.74/6.04 | ~ ('#form50') 42.74/6.04 | ~ ('#form46') 42.74/6.04 | ~ ('#form42') 42.74/6.04 | ~ ('#form38') 42.74/6.04 | ~ ('#form33') 42.74/6.04 | ~ ('#form27') 42.74/6.04 | ~ ('#form21') 42.74/6.04 | ~ ('#form15') 42.74/6.04 | ~ ('#form11') 42.74/6.04 | ~ ('#form7') 42.74/6.04 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.04 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.04 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 pv5 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.04 Y0)))))) 42.74/6.04 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.04 | ~ ('#form5') 42.74/6.04 | ~ ('#form9') 42.74/6.04 | ~ ('#form13') 42.74/6.04 | ~ ('#form17') 42.74/6.04 | ~ ('#form23') 42.74/6.04 | ~ ('#form30') 42.74/6.04 | ~ ('#form36') 42.74/6.04 | ~ ('#form40') 42.74/6.04 | ~ ('#form44') 42.74/6.04 | ~ ('#form48') 42.74/6.04 | ~ ('#form52'))), 42.74/6.04 inference('renaming', [status(thm)], 42.74/6.04 [zip_derived_cl309, zip_derived_cl310])). 42.74/6.04 thf(zip_derived_cl321, plain, 42.74/6.04 (( ('#form56') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))))), 42.74/6.04 define([status(thm)])). 42.74/6.04 thf(zip_derived_cl329, plain, 42.74/6.04 ((~ ('#form56') 42.74/6.04 | ~ ('#form52') 42.74/6.04 | ~ ('#form48') 42.74/6.04 | ~ ('#form44') 42.74/6.04 | ~ ('#form40') 42.74/6.04 | ~ ('#form36') 42.74/6.04 | ~ ('#form30') 42.74/6.04 | ~ ('#form23') 42.74/6.04 | ~ ('#form17') 42.74/6.04 | ~ ('#form13') 42.74/6.04 | ~ ('#form9') 42.74/6.04 | ~ ('#form5') 42.74/6.04 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.04 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 pv5 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.04 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.04 | ~ ('#form7') 42.74/6.04 | ~ ('#form11') 42.74/6.04 | ~ ('#form15') 42.74/6.04 | ~ ('#form21') 42.74/6.04 | ~ ('#form27') 42.74/6.04 | ~ ('#form33') 42.74/6.04 | ~ ('#form38') 42.74/6.04 | ~ ('#form42') 42.74/6.04 | ~ ('#form46') 42.74/6.04 | ~ ('#form50') 42.74/6.04 | ~ ('#form54') 42.74/6.04 | ~ ('#form19' @ pv5 @ '#sk2'))), 42.74/6.04 inference('renaming', [status(thm)], 42.74/6.04 [zip_derived_cl324, zip_derived_cl321])). 42.74/6.04 thf(zip_derived_cl329, plain, 42.74/6.04 ((~ ('#form56') 42.74/6.04 | ~ ('#form52') 42.74/6.04 | ~ ('#form48') 42.74/6.04 | ~ ('#form44') 42.74/6.04 | ~ ('#form40') 42.74/6.04 | ~ ('#form36') 42.74/6.04 | ~ ('#form30') 42.74/6.04 | ~ ('#form23') 42.74/6.04 | ~ ('#form17') 42.74/6.04 | ~ ('#form13') 42.74/6.04 | ~ ('#form9') 42.74/6.04 | ~ ('#form5') 42.74/6.04 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.04 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 pv5 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.04 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.04 | ~ ('#form7') 42.74/6.04 | ~ ('#form11') 42.74/6.04 | ~ ('#form15') 42.74/6.04 | ~ ('#form21') 42.74/6.04 | ~ ('#form27') 42.74/6.04 | ~ ('#form33') 42.74/6.04 | ~ ('#form38') 42.74/6.04 | ~ ('#form42') 42.74/6.04 | ~ ('#form46') 42.74/6.04 | ~ ('#form50') 42.74/6.04 | ~ ('#form54') 42.74/6.04 | ~ ('#form19' @ pv5 @ '#sk2'))), 42.74/6.04 inference('renaming', [status(thm)], 42.74/6.04 [zip_derived_cl324, zip_derived_cl321])). 42.74/6.04 thf(zip_derived_cl334, plain, 42.74/6.04 (( ('#form60') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 pv5 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))))), 42.74/6.04 define([status(thm)])). 42.74/6.04 thf(zip_derived_cl336, plain, 42.74/6.04 ((~ ('#form60') 42.74/6.04 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.04 | ~ ('#form54') 42.74/6.04 | ~ ('#form50') 42.74/6.04 | ~ ('#form46') 42.74/6.04 | ~ ('#form42') 42.74/6.04 | ~ ('#form38') 42.74/6.04 | ~ ('#form33') 42.74/6.04 | ~ ('#form27') 42.74/6.04 | ~ ('#form21') 42.74/6.04 | ~ ('#form15') 42.74/6.04 | ~ ('#form11') 42.74/6.04 | ~ ('#form7') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.04 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.04 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.04 | ~ ('#form5') 42.74/6.04 | ~ ('#form9') 42.74/6.04 | ~ ('#form13') 42.74/6.04 | ~ ('#form17') 42.74/6.04 | ~ ('#form23') 42.74/6.04 | ~ ('#form30') 42.74/6.04 | ~ ('#form36') 42.74/6.04 | ~ ('#form40') 42.74/6.04 | ~ ('#form44') 42.74/6.04 | ~ ('#form48') 42.74/6.04 | ~ ('#form52') 42.74/6.04 | ~ ('#form56'))), 42.74/6.04 inference('renaming', [status(thm)], 42.74/6.04 [zip_derived_cl329, zip_derived_cl334])). 42.74/6.04 thf(zip_derived_cl314, plain, 42.74/6.04 ((~ ('#form54') 42.74/6.04 | ~ ('#form50') 42.74/6.04 | ~ ('#form46') 42.74/6.04 | ~ ('#form42') 42.74/6.04 | ~ ('#form38') 42.74/6.04 | ~ ('#form33') 42.74/6.04 | ~ ('#form27') 42.74/6.04 | ~ ('#form21') 42.74/6.04 | ~ ('#form15') 42.74/6.04 | ~ ('#form11') 42.74/6.04 | ~ ('#form7') 42.74/6.04 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.04 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.04 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 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(leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 pv5 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.04 Y0)))))) 42.74/6.04 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.04 | ~ ('#form5') 42.74/6.04 | ~ ('#form9') 42.74/6.04 | ~ ('#form13') 42.74/6.04 | ~ ('#form17') 42.74/6.04 | ~ ('#form23') 42.74/6.04 | ~ ('#form30') 42.74/6.04 | ~ ('#form36') 42.74/6.04 | ~ ('#form40') 42.74/6.04 | ~ ('#form44') 42.74/6.04 | ~ ('#form48') 42.74/6.04 | ~ ('#form52'))), 42.74/6.04 inference('renaming', [status(thm)], 42.74/6.04 [zip_derived_cl309, zip_derived_cl310])). 42.74/6.04 thf(zip_derived_cl321, plain, 42.74/6.04 (( ('#form56') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))))), 42.74/6.04 define([status(thm)])). 42.74/6.04 thf(zip_derived_cl323, plain, 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42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.04 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.04 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.04 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.04 | ~ ('#form7') 42.74/6.04 | ~ ('#form11') 42.74/6.04 | ~ ('#form15') 42.74/6.04 | ~ ('#form21') 42.74/6.04 | ~ ('#form27') 42.74/6.04 | ~ ('#form33') 42.74/6.04 | ~ ('#form38') 42.74/6.04 | ~ ('#form42') 42.74/6.04 | ~ ('#form46') 42.74/6.04 | ~ ('#form50') 42.74/6.04 | ~ ('#form54'))), 42.74/6.04 inference('renaming', [status(thm)], 42.74/6.04 [zip_derived_cl314, zip_derived_cl321])). 42.74/6.04 thf(zip_derived_cl169, plain, 42.74/6.04 (![X4 : mu, X10 : $i]: 42.74/6.04 ( ('#form19' @ X4 @ X10) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.04 Y0)))))))), 42.74/6.04 define([status(thm)])). 42.74/6.04 thf(zip_derived_cl326, plain, 42.74/6.04 ((~ ('#form19' @ pv5 @ '#sk2') 42.74/6.04 | ~ ('#form54') 42.74/6.04 | ~ ('#form50') 42.74/6.04 | ~ ('#form46') 42.74/6.04 | ~ ('#form42') 42.74/6.04 | ~ ('#form38') 42.74/6.04 | ~ ('#form33') 42.74/6.04 | ~ ('#form27') 42.74/6.04 | ~ ('#form21') 42.74/6.04 | ~ ('#form15') 42.74/6.04 | ~ ('#form11') 42.74/6.04 | ~ ('#form7') 42.74/6.04 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.04 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.04 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 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42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.04 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.04 | ~ ('#form7') 42.74/6.04 | ~ ('#form11') 42.74/6.04 | ~ ('#form15') 42.74/6.04 | ~ ('#form21') 42.74/6.04 | ~ ('#form27') 42.74/6.04 | ~ ('#form33') 42.74/6.04 | ~ ('#form38') 42.74/6.04 | ~ ('#form42') 42.74/6.04 | ~ ('#form46') 42.74/6.04 | ~ ('#form50') 42.74/6.04 | ~ ('#form54') 42.74/6.04 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.04 | ~ ('#form60'))), 42.74/6.04 inference('renaming', [status(thm)], 42.74/6.04 [zip_derived_cl336, zip_derived_cl331])). 42.74/6.04 thf(zip_derived_cl348, plain, 42.74/6.04 (( ('#form64') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5))))))))))))))))))))))))))))))))))), 42.74/6.04 define([status(thm)])). 42.74/6.04 thf(zip_derived_cl349, plain, 42.74/6.04 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk65'))) | 42.74/6.04 (((!!) @ (^[Y0 : mu]: 42.74/6.04 (((exists_in_world @ Y0 @ '#sk65') => 42.74/6.04 (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk65' @ Y1))) | 42.74/6.04 (((!!) @ (^[Y2 : mu]: 42.74/6.04 (((exists_in_world @ Y2 @ 42.74/6.04 Y1) => 42.74/6.04 (((!!) @ (^[Y3 : $i]: 42.74/6.04 (((((~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y1 @ Y3))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y0 @ Y2) @ 42.74/6.04 use @ Y4)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y0 @ Y2) @ 42.74/6.04 use @ Y4)))))))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y0 @ Y4)))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (leq @ 42.74/6.04 Y0 @ 42.74/6.04 n2 @ Y4)))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (leq @ 42.74/6.04 Y2 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y4)))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y2 @ Y4)))))))))))))))))))))))))))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl348])). 42.74/6.04 thf(zip_derived_cl358, plain, 42.74/6.04 ((~ (((!!) @ (^[Y0 : mu]: 42.74/6.04 (((exists_in_world @ Y0 @ '#sk65') => 42.74/6.04 (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk65' @ Y1))) | 42.74/6.04 (((!!) @ (^[Y2 : mu]: 42.74/6.04 (((exists_in_world @ Y2 @ 42.74/6.04 Y1) => 42.74/6.04 (((!!) @ (^[Y3 : $i]: 42.74/6.04 (((((~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y1 @ Y3))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ((( 42.74/6.04 (~) @ ( 42.74/6.04 ((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y0 @ Y2) @ 42.74/6.04 use @ Y4)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y0 @ Y2) @ 42.74/6.04 use @ Y4)))))))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y0 @ Y4)))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (leq @ 42.74/6.04 Y0 @ 42.74/6.04 n2 @ Y4)))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (leq @ 42.74/6.04 Y2 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y4)))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y2 @ Y4)))))))))))))))))))))))))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl349])). 42.74/6.04 thf(zip_derived_cl366, plain, 42.74/6.04 ((~ (((exists_in_world @ '#sk69' @ '#sk65') => 42.74/6.04 (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk65' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((~) @ (((((~) @ ( 42.74/6.04 ((!!) @ ( 42.74/6.04 ^[Y3 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 '#sk69' @ 42.74/6.04 Y1) @ 42.74/6.04 use @ Y3)))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ((!!) @ ( 42.74/6.04 ^[Y3 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 '#sk69' @ 42.74/6.04 Y1) @ 42.74/6.04 use @ Y3)))))))))))) | 42.74/6.04 (((~) @ (((!!) @ ( 42.74/6.04 ^[Y3 : $i]: 42.74/6.04 (((((~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 '#sk69' @ 42.74/6.04 Y3)))))))) | 42.74/6.04 (((~) @ (((!!) @ ( 42.74/6.04 ^[Y3 : $i]: 42.74/6.04 (((((~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (leq @ 42.74/6.04 '#sk69' @ 42.74/6.04 n2 @ Y3)))))))) | 42.74/6.04 (((~) @ (((!!) @ ( 42.74/6.04 ^[Y3 : $i]: 42.74/6.04 (((((~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 (minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y3)))))))) | 42.74/6.04 (((~) @ (((!!) @ ( 42.74/6.04 ^[Y3 : $i]: 42.74/6.04 (((((~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ Y1 @ 42.74/6.04 Y3))))))))))))))))))))))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl358])). 42.74/6.04 thf(zip_derived_cl374, plain, 42.74/6.04 ((~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk65' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((~) @ (((((~) @ ( 42.74/6.04 ((!!) @ ( 42.74/6.04 ^[Y3 : $i]: 42.74/6.04 (((( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 (a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 '#sk69' @ 42.74/6.04 Y1) @ 42.74/6.04 use @ Y3)))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ((!!) @ ( 42.74/6.04 ^[Y3 : $i]: 42.74/6.04 (((( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 (a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 '#sk69' @ 42.74/6.04 Y1) @ 42.74/6.04 use @ Y3)))))))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y3 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 '#sk69' @ 42.74/6.04 Y3)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y3 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (leq @ 42.74/6.04 '#sk69' @ 42.74/6.04 n2 @ Y3)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y3 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y3)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y3 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y3))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y3))))))))))))))))))))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl366])). 42.74/6.04 thf(zip_derived_cl377, plain, 42.74/6.04 ((~ (((((~) @ (rel_s4 @ '#sk65' @ '#sk71'))) | 42.74/6.04 (((!!) @ (^[Y0 : mu]: 42.74/6.04 (((exists_in_world @ Y0 @ '#sk71') => 42.74/6.04 (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk71' @ Y1))) | 42.74/6.04 (((~) @ (((((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y1 @ Y2))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 '#sk69' @ 42.74/6.04 Y0) @ 42.74/6.04 use @ Y2)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y1 @ Y2))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 '#sk69' @ 42.74/6.04 Y0) @ 42.74/6.04 use @ Y2)))))))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ ( 42.74/6.04 rel_s4 @ Y1 @ 42.74/6.04 Y2))) | 42.74/6.04 (leq @ n0 @ 42.74/6.04 '#sk69' @ Y2)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ ( 42.74/6.04 rel_s4 @ Y1 @ 42.74/6.04 Y2))) | 42.74/6.04 (leq @ '#sk69' @ 42.74/6.04 n2 @ Y2)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ ( 42.74/6.04 rel_s4 @ Y1 @ 42.74/6.04 Y2))) | 42.74/6.04 (leq @ Y0 @ 42.74/6.04 (minus @ pv5 @ n1) @ 42.74/6.04 Y2)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ ( 42.74/6.04 rel_s4 @ Y1 @ 42.74/6.04 Y2))) | 42.74/6.04 (leq @ n0 @ Y0 @ 42.74/6.04 Y2)))))))))))))))))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl374])). 42.74/6.04 thf(zip_derived_cl380, plain, 42.74/6.04 ((~ (((!!) @ (^[Y0 : mu]: 42.74/6.04 (((exists_in_world @ Y0 @ '#sk71') => 42.74/6.04 (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk71' @ Y1))) | 42.74/6.04 (((~) @ (((((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y1 @ Y2))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 '#sk69' @ 42.74/6.04 Y0) @ 42.74/6.04 use @ Y2)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y1 @ Y2))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 '#sk69' @ 42.74/6.04 Y0) @ 42.74/6.04 use @ Y2)))))))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ 42.74/6.04 Y1 @ Y2))) | 42.74/6.04 (leq @ n0 @ 42.74/6.04 '#sk69' @ Y2)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ 42.74/6.04 Y1 @ Y2))) | 42.74/6.04 (leq @ '#sk69' @ 42.74/6.04 n2 @ Y2)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ 42.74/6.04 Y1 @ Y2))) | 42.74/6.04 (leq @ Y0 @ 42.74/6.04 (minus @ pv5 @ n1) @ 42.74/6.04 Y2)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ 42.74/6.04 Y1 @ Y2))) | 42.74/6.04 (leq @ n0 @ Y0 @ 42.74/6.04 Y2)))))))))))))))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl377])). 42.74/6.04 thf(zip_derived_cl383, plain, 42.74/6.04 ((~ (((exists_in_world @ '#sk73' @ '#sk71') => 42.74/6.04 (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk71' @ Y0))) | 42.74/6.04 (((~) @ (((((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ 42.74/6.04 Y0 @ Y1))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 (a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 '#sk69' @ '#sk73') @ 42.74/6.04 use @ Y1)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ 42.74/6.04 Y0 @ Y1))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 (a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 '#sk69' @ '#sk73') @ 42.74/6.04 use @ Y1)))))))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.04 (leq @ n0 @ '#sk69' @ Y1)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.04 (leq @ '#sk69' @ n2 @ Y1)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.04 (leq @ '#sk73' @ 42.74/6.04 (minus @ pv5 @ n1) @ Y1)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.04 (leq @ n0 @ '#sk73' @ Y1))))))))))))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl380])). 42.74/6.04 thf(zip_derived_cl386, plain, 42.74/6.04 ((~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk71' @ Y0))) | 42.74/6.04 (((~) @ (((((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ 42.74/6.04 Y1))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 (a_select3 @ 42.74/6.04 z_defuse @ '#sk69' @ 42.74/6.04 '#sk73') @ 42.74/6.04 use @ Y1)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ 42.74/6.04 Y1))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 (a_select3 @ 42.74/6.04 u_defuse @ '#sk69' @ 42.74/6.04 '#sk73') @ 42.74/6.04 use @ Y1)))))))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.04 (leq @ n0 @ '#sk69' @ Y1)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.04 (leq @ '#sk69' @ n2 @ Y1)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.04 (leq @ '#sk73' @ 42.74/6.04 (minus @ pv5 @ n1) @ Y1)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.04 (leq @ n0 @ '#sk73' @ Y1))))))))))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl383])). 42.74/6.04 thf(zip_derived_cl393, plain, 42.74/6.04 ((~ (((((~) @ (rel_s4 @ '#sk71' @ '#sk75'))) | 42.74/6.04 (((~) @ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 (a_select3 @ z_defuse @ '#sk69' @ 42.74/6.04 '#sk73') @ 42.74/6.04 use @ Y0)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 (a_select3 @ u_defuse @ '#sk69' @ 42.74/6.04 '#sk73') @ 42.74/6.04 use @ Y0)))))))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (leq @ 42.74/6.04 n0 @ '#sk69' @ Y0)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (leq @ 42.74/6.04 '#sk69' @ n2 @ Y0)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (leq @ 42.74/6.04 '#sk73' @ (minus @ pv5 @ n1) @ Y0)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (leq @ 42.74/6.04 n0 @ '#sk73' @ Y0)))))))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl386])). 42.74/6.04 thf(zip_derived_cl400, plain, 42.74/6.04 (( (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 (a_select3 @ z_defuse @ '#sk69' @ '#sk73') @ 42.74/6.04 use @ Y0)))))))) | 42.74/6.04 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 (a_select3 @ u_defuse @ '#sk69' @ '#sk73') @ 42.74/6.04 use @ Y0)))))))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl393])). 42.74/6.04 thf(zip_derived_cl410, plain, 42.74/6.04 ((~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select3 @ z_defuse @ '#sk69' @ '#sk73') @ use @ Y0)))))) 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select3 @ u_defuse @ '#sk69' @ '#sk73') @ use @ 42.74/6.04 Y0)))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl400])). 42.74/6.04 thf(zip_derived_cl417, plain, 42.74/6.04 ((~ (((((~) @ (rel_s4 @ '#sk75' @ '#sk77'))) | (qmltpeq @ 42.74/6.04 (a_select3 @ z_defuse @ '#sk69' @ '#sk73') @ use @ '#sk77'))) 42.74/6.04 | ('#form64') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select3 @ u_defuse @ '#sk69' @ '#sk73') @ use @ 42.74/6.04 Y0)))))))), 42.74/6.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl410])). 42.74/6.04 thf(zip_derived_cl425, plain, 42.74/6.04 ((~ (qmltpeq @ (a_select3 @ z_defuse @ '#sk69' @ '#sk73') @ use @ '#sk77') 42.74/6.04 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (qmltpeq @ 42.74/6.04 (a_select3 @ u_defuse @ '#sk69' @ '#sk73') @ use @ 42.74/6.04 Y0)))))) 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl417])). 42.74/6.04 thf(zip_derived_cl431, plain, 42.74/6.04 ((~ (((((~) @ (rel_s4 @ '#sk75' @ '#sk79'))) | (qmltpeq @ 42.74/6.04 (a_select3 @ u_defuse @ '#sk69' @ '#sk73') @ use @ '#sk79'))) 42.74/6.04 | ('#form64') 42.74/6.04 | ~ (qmltpeq @ (a_select3 @ z_defuse @ '#sk69' @ '#sk73') @ use @ 42.74/6.04 '#sk77'))), 42.74/6.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl425])). 42.74/6.04 thf(zip_derived_cl435, plain, 42.74/6.04 ((~ (qmltpeq @ (a_select3 @ u_defuse @ '#sk69' @ '#sk73') @ use @ '#sk79') 42.74/6.04 | ~ (qmltpeq @ (a_select3 @ z_defuse @ '#sk69' @ '#sk73') @ use @ 42.74/6.04 '#sk77') 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl431])). 42.74/6.04 thf(zip_derived_cl434, plain, 42.74/6.04 (( (rel_s4 @ '#sk75' @ '#sk79') 42.74/6.04 | ~ (qmltpeq @ (a_select3 @ z_defuse @ '#sk69' @ '#sk73') @ use @ 42.74/6.04 '#sk77') 42.74/6.04 | ('#form64'))), 42.74/6.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl431])). 42.74/6.04 thf(zip_derived_cl20, plain, 42.74/6.04 ( (((!!) @ (^[Y0 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.04 (((!!) @ (^[Y1 : mu]: 42.74/6.04 (((exists_in_world @ Y1 @ Y0) => 42.74/6.04 (((!!) @ (^[Y2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.04 (((!!) @ (^[Y3 : mu]: 42.74/6.04 (((exists_in_world @ 42.74/6.04 Y3 @ Y2) => 42.74/6.04 (((!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 ((( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y2 @ Y4))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y1 @ Y3) @ 42.74/6.04 use @ Y5)))))))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y1 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y1 @ 42.74/6.04 n2 @ Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 Y3 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y5)))))))) | 42.74/6.04 ( 42.74/6.04 ( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y5 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y4 @ Y5))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y3 @ Y5)))))))))))))))))))))))))))))))))), 42.74/6.04 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.04 thf(zip_derived_cl52, plain, 42.74/6.04 (![X2 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | 42.74/6.04 (((!!) @ (^[Y0 : mu]: 42.74/6.04 (((exists_in_world @ Y0 @ X2) => 42.74/6.04 (((!!) @ (^[Y1 : $i]: 42.74/6.04 (((((~) @ (rel_s4 @ X2 @ Y1))) | 42.74/6.04 (((!!) @ (^[Y2 : mu]: 42.74/6.04 (((exists_in_world @ Y2 @ 42.74/6.04 Y1) => 42.74/6.04 (((!!) @ (^[Y3 : $i]: 42.74/6.04 (((((~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y1 @ Y3))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 z_defuse @ 42.74/6.04 Y0 @ Y2) @ 42.74/6.04 use @ Y4)))))))) | 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (qmltpeq @ 42.74/6.04 ( 42.74/6.04 a_select3 @ 42.74/6.04 u_defuse @ 42.74/6.04 Y0 @ Y2) @ 42.74/6.04 use @ Y4)))))))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (leq @ 42.74/6.04 n0 @ 42.74/6.04 Y0 @ Y4)))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (leq @ 42.74/6.04 Y0 @ 42.74/6.04 n2 @ Y4)))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ( 42.74/6.04 (!!) @ ( 42.74/6.04 ^[Y4 : $i]: 42.74/6.04 (( 42.74/6.04 (( 42.74/6.04 (~) @ ( 42.74/6.04 rel_s4 @ 42.74/6.04 Y3 @ Y4))) | 42.74/6.04 (leq @ 42.74/6.04 Y2 @ 42.74/6.04 ( 42.74/6.04 minus @ 42.74/6.04 pv5 @ n1) @ 42.74/6.04 Y4)))))))) | 42.74/6.04 (((~) @ ( 42.74/6.04 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y3 @ Y4))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y2 @ Y4))))))))))))))))))))))))))))))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])). 42.74/6.05 thf(zip_derived_cl84, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (((!!) @ (^[Y0 : mu]: 42.74/6.05 (((exists_in_world @ Y0 @ X2) => 42.74/6.05 (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X2 @ Y1))) | 42.74/6.05 (((!!) @ (^[Y2 : mu]: 42.74/6.05 (((exists_in_world @ Y2 @ 42.74/6.05 Y1) => 42.74/6.05 (((!!) @ (^[Y3 : $i]: 42.74/6.05 (((( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y1 @ Y3))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y3 @ Y4))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y0 @ Y2) @ 42.74/6.05 use @ Y4)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y3 @ Y4))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y0 @ Y2) @ 42.74/6.05 use @ Y4)))))))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y3 @ Y4))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y0 @ Y4)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y3 @ Y4))) | 42.74/6.05 (leq @ 42.74/6.05 Y0 @ 42.74/6.05 n2 @ Y4)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y3 @ Y4))) | 42.74/6.05 (leq @ 42.74/6.05 Y2 @ 42.74/6.05 ( 42.74/6.05 minus @ 42.74/6.05 pv5 @ n1) @ 42.74/6.05 Y4)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y3 @ Y4))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y2 @ Y4)))))))))))))))))))))))))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl52])). 42.74/6.05 thf(zip_derived_cl102, plain, 42.74/6.05 (![X2 : $i, X4 : mu]: 42.74/6.05 ( (((exists_in_world @ X4 @ X2) => 42.74/6.05 (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X2 @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ 42.74/6.05 Y2))) | 42.74/6.05 (((~) @ (((((~) @ ( 42.74/6.05 ((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 X4 @ Y1) @ 42.74/6.05 use @ Y3)))))))) | 42.74/6.05 (((~) @ ( 42.74/6.05 ((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 X4 @ Y1) @ 42.74/6.05 use @ Y3)))))))))))) | 42.74/6.05 (((~) @ (((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 (((( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ X4 @ 42.74/6.05 Y3)))))))) | 42.74/6.05 (((~) @ (((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 (((( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (leq @ 42.74/6.05 X4 @ n2 @ 42.74/6.05 Y3)))))))) | 42.74/6.05 (((~) @ (((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 (((( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 (minus @ 42.74/6.05 pv5 @ n1) @ 42.74/6.05 Y3)))))))) | 42.74/6.05 (((~) @ (((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 (((( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ Y1 @ 42.74/6.05 Y3))))))))))))))))))))))))) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl84])). 42.74/6.05 thf(zip_derived_cl106, plain, 42.74/6.05 (![X2 : $i, X4 : mu]: 42.74/6.05 (~ (exists_in_world @ X4 @ X2) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X2 @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ 42.74/6.05 Y2))) | 42.74/6.05 (((~) @ (((((~) @ ( 42.74/6.05 ((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 X4 @ Y1) @ 42.74/6.05 use @ Y3)))))))) | 42.74/6.05 (((~) @ ( 42.74/6.05 ((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 X4 @ Y1) @ 42.74/6.05 use @ Y3)))))))))))) | 42.74/6.05 (((~) @ (((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 (((( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ X4 @ 42.74/6.05 Y3)))))))) | 42.74/6.05 (((~) @ (((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 (((( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (leq @ 42.74/6.05 X4 @ n2 @ 42.74/6.05 Y3)))))))) | 42.74/6.05 (((~) @ (((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 (((( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 (minus @ 42.74/6.05 pv5 @ n1) @ 42.74/6.05 Y3)))))))) | 42.74/6.05 (((~) @ (((!!) @ ( 42.74/6.05 ^[Y3 : $i]: 42.74/6.05 (((( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y3))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ Y1 @ 42.74/6.05 Y3))))))))))))))))))))))) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2))), 42.74/6.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl102])). 42.74/6.05 thf(zip_derived_cl113, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i]: 42.74/6.05 ( (((((~) @ (rel_s4 @ X2 @ X6))) | 42.74/6.05 (((!!) @ (^[Y0 : mu]: 42.74/6.05 (((exists_in_world @ Y0 @ X6) => 42.74/6.05 (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X6 @ Y1))) | 42.74/6.05 (((~) @ (((((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y1 @ Y2))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 X4 @ Y0) @ 42.74/6.05 use @ Y2)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y1 @ Y2))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 X4 @ Y0) @ 42.74/6.05 use @ Y2)))))))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ ( 42.74/6.05 rel_s4 @ Y1 @ 42.74/6.05 Y2))) | 42.74/6.05 (leq @ n0 @ 42.74/6.05 X4 @ Y2)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ ( 42.74/6.05 rel_s4 @ Y1 @ 42.74/6.05 Y2))) | 42.74/6.05 (leq @ X4 @ 42.74/6.05 n2 @ Y2)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ ( 42.74/6.05 rel_s4 @ Y1 @ 42.74/6.05 Y2))) | 42.74/6.05 (leq @ Y0 @ 42.74/6.05 (minus @ pv5 @ 42.74/6.05 n1) @ 42.74/6.05 Y2)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ ( 42.74/6.05 rel_s4 @ Y1 @ 42.74/6.05 Y2))) | 42.74/6.05 (leq @ n0 @ 42.74/6.05 Y0 @ Y2)))))))))))))))))))) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl106])). 42.74/6.05 thf(zip_derived_cl122, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i]: 42.74/6.05 (~ (rel_s4 @ X2 @ X6) 42.74/6.05 | (((!!) @ (^[Y0 : mu]: 42.74/6.05 (((exists_in_world @ Y0 @ X6) => 42.74/6.05 (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X6 @ Y1))) | 42.74/6.05 (((~) @ (((((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y1 @ Y2))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 X4 @ Y0) @ 42.74/6.05 use @ Y2)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y1 @ Y2))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 X4 @ Y0) @ 42.74/6.05 use @ Y2)))))))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ ( 42.74/6.05 rel_s4 @ Y1 @ 42.74/6.05 Y2))) | 42.74/6.05 (leq @ n0 @ 42.74/6.05 X4 @ Y2)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ ( 42.74/6.05 rel_s4 @ Y1 @ 42.74/6.05 Y2))) | 42.74/6.05 (leq @ X4 @ 42.74/6.05 n2 @ Y2)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ ( 42.74/6.05 rel_s4 @ Y1 @ 42.74/6.05 Y2))) | 42.74/6.05 (leq @ Y0 @ 42.74/6.05 (minus @ pv5 @ 42.74/6.05 n1) @ 42.74/6.05 Y2)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ ( 42.74/6.05 rel_s4 @ Y1 @ 42.74/6.05 Y2))) | 42.74/6.05 (leq @ n0 @ 42.74/6.05 Y0 @ Y2)))))))))))))))))) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl113])). 42.74/6.05 thf(zip_derived_cl131, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu]: 42.74/6.05 ( (((exists_in_world @ X8 @ X6) => 42.74/6.05 (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X6 @ Y0))) | 42.74/6.05 (((~) @ (((((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ 42.74/6.05 Y0 @ Y1))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ 42.74/6.05 z_defuse @ X4 @ X8) @ 42.74/6.05 use @ Y1)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ 42.74/6.05 Y0 @ Y1))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ 42.74/6.05 u_defuse @ X4 @ X8) @ 42.74/6.05 use @ Y1)))))))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.05 (leq @ n0 @ X4 @ Y1)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.05 (leq @ X4 @ n2 @ Y1)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.05 (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y1)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.05 (leq @ n0 @ X8 @ Y1))))))))))))))) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl122])). 42.74/6.05 thf(zip_derived_cl140, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu]: 42.74/6.05 (~ (exists_in_world @ X8 @ X6) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X6 @ Y0))) | 42.74/6.05 (((~) @ (((((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ 42.74/6.05 Y0 @ Y1))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ 42.74/6.05 z_defuse @ X4 @ X8) @ 42.74/6.05 use @ Y1)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ 42.74/6.05 Y0 @ Y1))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ 42.74/6.05 u_defuse @ X4 @ X8) @ 42.74/6.05 use @ Y1)))))))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.05 (leq @ n0 @ X4 @ Y1)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.05 (leq @ X4 @ n2 @ Y1)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.05 (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y1)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.05 (leq @ n0 @ X8 @ Y1))))))))))))) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2))), 42.74/6.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl131])). 42.74/6.05 thf(zip_derived_cl149, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 ( (((((~) @ (rel_s4 @ X6 @ X10))) | 42.74/6.05 (((~) @ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ 42.74/6.05 use @ Y0)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ 42.74/6.05 use @ Y0)))))))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ 42.74/6.05 X4 @ Y0)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ 42.74/6.05 n2 @ Y0)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y0)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ 42.74/6.05 X8 @ Y0)))))))))) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl140])). 42.74/6.05 thf(zip_derived_cl158, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.05 Y0)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.05 Y0)))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X8 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl149])). 42.74/6.05 thf(zip_derived_cl167, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X8 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl158])). 42.74/6.05 thf(zip_derived_cl169, plain, 42.74/6.05 (![X4 : mu, X10 : $i]: 42.74/6.05 ( ('#form19' @ X4 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl179, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y0)))))) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ Y0)))))))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl167, zip_derived_cl169])). 42.74/6.05 thf(zip_derived_cl169, plain, 42.74/6.05 (![X4 : mu, X10 : $i]: 42.74/6.05 ( ('#form19' @ X4 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl191, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ ('#form19' @ X4 @ X10) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl179, zip_derived_cl169])). 42.74/6.05 thf(zip_derived_cl159, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.05 Y0)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.05 Y0)))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ pv5 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X8 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl150])). 42.74/6.05 thf(zip_derived_cl169, plain, 42.74/6.05 (![X4 : mu, X10 : $i]: 42.74/6.05 ( ('#form19' @ X4 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl171, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ ('#form19' @ X4 @ X10) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X8 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ pv5 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.05 Y0)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.05 Y0)))))))))) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl159, zip_derived_cl169])). 42.74/6.05 thf(zip_derived_cl169, plain, 42.74/6.05 (![X4 : mu, X10 : $i]: 42.74/6.05 ( ('#form19' @ X4 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl181, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.05 Y0)))))))) | 42.74/6.05 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.05 Y0)))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ pv5 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ ('#form19' @ X4 @ X10))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl171, zip_derived_cl169])). 42.74/6.05 thf(zip_derived_cl193, plain, 42.74/6.05 (![X4 : mu, X10 : $i]: 42.74/6.05 ( ('#form25' @ X4 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl203, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ ('#form25' @ X4 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y0)))))) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.05 | ~ ('#form19' @ X4 @ X10))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl191, zip_derived_cl193])). 42.74/6.05 thf(zip_derived_cl215, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ (((((~) @ (rel_s4 @ X10 @ ('#sk32' @ X8 @ X10)))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ ('#sk32' @ X8 @ X10)))) 42.74/6.05 | ~ ('#form19' @ X4 @ X10) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ ('#form25' @ X4 @ X10))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl203])). 42.74/6.05 thf(zip_derived_cl227, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ (leq @ X8 @ (minus @ pv5 @ n1) @ ('#sk32' @ X8 @ X10)) 42.74/6.05 | ~ ('#form25' @ X4 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.05 | ~ ('#form19' @ X4 @ X10))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl215])). 42.74/6.05 thf(zip_derived_cl243, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.05 ( (((((~) @ (rel_s4 @ X10 @ X12))) | (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ X12))) 42.74/6.05 | ~ ('#form19' @ X4 @ X10) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ ('#form25' @ X4 @ X10) 42.74/6.05 | ~ (leq @ X8 @ (minus @ pv5 @ n1) @ ('#sk32' @ X8 @ X10)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl227])). 42.74/6.05 thf(zip_derived_cl256, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.05 (~ (rel_s4 @ X10 @ X12) 42.74/6.05 | (qmltpeq @ (a_select3 @ z_defuse @ X4 @ X8) @ use @ X12) 42.74/6.05 | ~ (leq @ X8 @ (minus @ pv5 @ n1) @ ('#sk32' @ X8 @ X10)) 42.74/6.05 | ~ ('#form25' @ X4 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ ('#form19' @ X4 @ X10))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl243])). 42.74/6.05 thf(zip_derived_cl34, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n0) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl66, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n0) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl34])). 42.74/6.05 thf(zip_derived_cl98, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl66])). 42.74/6.05 thf(zip_derived_cl326, plain, 42.74/6.05 ((~ ('#form19' @ pv5 @ '#sk2') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 ( 42.74/6.05 minus @ 42.74/6.05 pv5 @ n1) @ 42.74/6.05 Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 pv5 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form56'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl323, zip_derived_cl169])). 42.74/6.05 thf(zip_derived_cl331, plain, 42.74/6.05 (( ('#form58') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl333, plain, 42.74/6.05 ((~ ('#form58') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 pv5 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 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Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form19' @ pv5 @ '#sk2'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl326, zip_derived_cl331])). 42.74/6.05 thf(zip_derived_cl334, plain, 42.74/6.05 (( ('#form60') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 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(( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 pv5 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 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(((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 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42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form58'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl333, zip_derived_cl334])). 42.74/6.05 thf(zip_derived_cl338, plain, 42.74/6.05 ((~ ('#form60') 42.74/6.05 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 ( 42.74/6.05 minus @ 42.74/6.05 pv5 @ n1) @ 42.74/6.05 Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form58'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl333, zip_derived_cl334])). 42.74/6.05 thf(zip_derived_cl345, plain, 42.74/6.05 (( ('#form62') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl347, plain, 42.74/6.05 ((~ ('#form62') 42.74/6.05 | ~ ('#form58') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 ( 42.74/6.05 minus @ 42.74/6.05 pv5 @ n1) @ 42.74/6.05 Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.05 | ~ ('#form60'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl338, zip_derived_cl345])). 42.74/6.05 thf(zip_derived_cl348, plain, 42.74/6.05 (( ('#form64') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 ( 42.74/6.05 minus @ 42.74/6.05 pv5 @ n1) @ 42.74/6.05 Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl353, plain, 42.74/6.05 ((~ ('#form64') 42.74/6.05 | ~ ('#form60') 42.74/6.05 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.05 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form58') 42.74/6.05 | ~ ('#form62'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl347, zip_derived_cl348])). 42.74/6.05 thf(zip_derived_cl353, plain, 42.74/6.05 ((~ ('#form64') 42.74/6.05 | ~ ('#form60') 42.74/6.05 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.05 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form58') 42.74/6.05 | ~ ('#form62'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl347, zip_derived_cl348])). 42.74/6.05 thf(zip_derived_cl362, plain, 42.74/6.05 (( ('#form67') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl364, plain, 42.74/6.05 ((~ ('#form67') 42.74/6.05 | ~ ('#form62') 42.74/6.05 | ~ ('#form58') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.05 | ~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk4'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))) 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.05 | ~ ('#form60') 42.74/6.05 | ~ ('#form64'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl353, zip_derived_cl362])). 42.74/6.05 thf(zip_derived_cl369, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.05 | ~ ('#form64') 42.74/6.05 | ~ ('#form60') 42.74/6.05 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form58') 42.74/6.05 | ~ ('#form62') 42.74/6.05 | ~ ('#form67'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl364])). 42.74/6.05 thf(zip_derived_cl341, plain, 42.74/6.05 ((~ ('#form58') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.05 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 ( 42.74/6.05 minus @ 42.74/6.05 pv5 @ n1) @ 42.74/6.05 Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.05 | ~ ('#form60'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl336, zip_derived_cl331])). 42.74/6.05 thf(zip_derived_cl348, plain, 42.74/6.05 (( ('#form64') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 ( 42.74/6.05 minus @ 42.74/6.05 pv5 @ n1) @ 42.74/6.05 Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl350, plain, 42.74/6.05 ((~ ('#form64') 42.74/6.05 | ~ ('#form60') 42.74/6.05 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.05 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.05 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form58'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl341, zip_derived_cl348])). 42.74/6.05 thf(zip_derived_cl345, plain, 42.74/6.05 (( ('#form62') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl356, plain, 42.74/6.05 ((~ ('#form62') 42.74/6.05 | ~ ('#form58') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.05 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.05 | ~ ('#form60') 42.74/6.05 | ~ ('#form64'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl350, zip_derived_cl345])). 42.74/6.05 thf(zip_derived_cl362, plain, 42.74/6.05 (( ('#form67') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl365, plain, 42.74/6.05 ((~ ('#form67') 42.74/6.05 | ~ ('#form64') 42.74/6.05 | ~ ('#form60') 42.74/6.05 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.05 | ~ ('#form54') 42.74/6.05 | ~ ('#form50') 42.74/6.05 | ~ ('#form46') 42.74/6.05 | ~ ('#form42') 42.74/6.05 | ~ ('#form38') 42.74/6.05 | ~ ('#form33') 42.74/6.05 | ~ ('#form27') 42.74/6.05 | ~ ('#form21') 42.74/6.05 | ~ ('#form15') 42.74/6.05 | ~ ('#form11') 42.74/6.05 | ~ ('#form7') 42.74/6.05 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.05 | (rel_s4 @ '#sk2' @ '#sk4') 42.74/6.05 | ~ ('#form5') 42.74/6.05 | ~ ('#form9') 42.74/6.05 | ~ ('#form13') 42.74/6.05 | ~ ('#form17') 42.74/6.05 | ~ ('#form23') 42.74/6.05 | ~ ('#form30') 42.74/6.05 | ~ ('#form36') 42.74/6.05 | ~ ('#form40') 42.74/6.05 | ~ ('#form44') 42.74/6.05 | ~ ('#form48') 42.74/6.05 | ~ ('#form52') 42.74/6.05 | ~ ('#form56') 42.74/6.05 | ~ ('#form58') 42.74/6.05 | ~ ('#form62'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl356, zip_derived_cl362])). 42.74/6.05 thf(zip_derived_cl424, plain, 42.74/6.05 (( (rel_s4 @ '#sk75' @ '#sk77') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ '#sk69' @ '#sk73') @ use @ 42.74/6.05 Y0)))))) 42.74/6.05 | ('#form64'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl417])). 42.74/6.05 thf(zip_derived_cl430, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk75' @ '#sk79'))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ '#sk69' @ '#sk73') @ use @ '#sk79'))) 42.74/6.05 | ('#form64') 42.74/6.05 | (rel_s4 @ '#sk75' @ '#sk77'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl424])). 42.74/6.05 thf(zip_derived_cl432, plain, 42.74/6.05 (( (rel_s4 @ '#sk75' @ '#sk79') 42.74/6.05 | (rel_s4 @ '#sk75' @ '#sk77') 42.74/6.05 | ('#form64'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl430])). 42.74/6.05 thf(zip_derived_cl168, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X8 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl158])). 42.74/6.05 thf(zip_derived_cl169, plain, 42.74/6.05 (![X4 : mu, X10 : $i]: 42.74/6.05 ( ('#form19' @ X4 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl180, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y0)))))) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ use @ Y0)))))))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl168, zip_derived_cl169])). 42.74/6.05 thf(zip_derived_cl169, plain, 42.74/6.05 (![X4 : mu, X10 : $i]: 42.74/6.05 ( ('#form19' @ X4 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.05 Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl192, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ ('#form19' @ X4 @ X10) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl180, zip_derived_cl169])). 42.74/6.05 thf(zip_derived_cl193, plain, 42.74/6.05 (![X4 : mu, X10 : $i]: 42.74/6.05 ( ('#form25' @ X4 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.05 Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl204, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ ('#form25' @ X4 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ Y0)))))) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.05 | ~ ('#form19' @ X4 @ X10))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl192, zip_derived_cl193])). 42.74/6.05 thf(zip_derived_cl216, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ (((((~) @ (rel_s4 @ X10 @ ('#sk32' @ X8 @ X10)))) | (leq @ X8 @ 42.74/6.05 (minus @ pv5 @ n1) @ ('#sk32' @ X8 @ X10)))) 42.74/6.05 | ~ ('#form19' @ X4 @ X10) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ ('#form25' @ X4 @ X10))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl204])). 42.74/6.05 thf(zip_derived_cl229, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 (~ (leq @ X8 @ (minus @ pv5 @ n1) @ ('#sk32' @ X8 @ X10)) 42.74/6.05 | ~ ('#form25' @ X4 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.05 | ~ ('#form19' @ X4 @ X10))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl216])). 42.74/6.05 thf(zip_derived_cl245, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.05 ( (((((~) @ (rel_s4 @ X10 @ X12))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ X4 @ X8) @ use @ X12))) 42.74/6.05 | ~ ('#form19' @ X4 @ X10) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ ('#form25' @ X4 @ X10) 42.74/6.05 | ~ (leq @ X8 @ (minus @ pv5 @ n1) @ ('#sk32' @ X8 @ X10)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl229])). 42.74/6.05 thf(zip_derived_cl258, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.05 (~ (rel_s4 @ X10 @ X12) 42.74/6.05 | (qmltpeq @ (a_select3 @ u_defuse @ X4 @ X8) @ use @ X12) 42.74/6.05 | ~ (leq @ X8 @ (minus @ pv5 @ n1) @ ('#sk32' @ X8 @ X10)) 42.74/6.05 | ~ ('#form25' @ X4 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ ('#form19' @ X4 @ X10))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl245])). 42.74/6.05 thf(zip_derived_cl226, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.05 ( (rel_s4 @ X10 @ ('#sk32' @ X8 @ X10)) 42.74/6.05 | ~ ('#form25' @ X4 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.05 | ~ ('#form19' @ X4 @ X10))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl215])). 42.74/6.05 thf(zip_derived_cl242, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.05 ( (((((~) @ (rel_s4 @ X10 @ X12))) | (qmltpeq @ 42.74/6.05 (a_select3 @ z_defuse @ X4 @ X8) @ use @ X12))) 42.74/6.05 | ~ ('#form19' @ X4 @ X10) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ ('#form25' @ X4 @ X10) 42.74/6.05 | (rel_s4 @ X10 @ ('#sk32' @ X8 @ X10)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl226])). 42.74/6.05 thf(zip_derived_cl255, plain, 42.74/6.05 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.05 (~ (rel_s4 @ X10 @ X12) 42.74/6.05 | (qmltpeq @ (a_select3 @ z_defuse @ X4 @ X8) @ use @ X12) 42.74/6.05 | (rel_s4 @ X10 @ ('#sk32' @ X8 @ X10)) 42.74/6.05 | ~ ('#form25' @ X4 @ X10) 42.74/6.05 | ~ ('#form19' @ X8 @ X10) 42.74/6.05 | ~ (rel_s4 @ X6 @ X10) 42.74/6.05 | ~ (exists_in_world @ X8 @ X6) 42.74/6.05 | ~ (rel_s4 @ X2 @ X6) 42.74/6.05 | ~ (exists_in_world @ X4 @ X2) 42.74/6.05 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | ~ ('#form19' @ X4 @ X10))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl242])). 42.74/6.05 thf(zip_derived_cl35, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n1) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl67, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n1) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 42.74/6.05 thf(zip_derived_cl99, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl67])). 42.74/6.05 thf(zip_derived_cl293, plain, 42.74/6.05 (( ('#form48') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl294, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk49'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n3) @ use @ '#sk49'))) 42.74/6.05 | ('#form48'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl293])). 42.74/6.05 thf(zip_derived_cl301, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk49') | ('#form48'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl294])). 42.74/6.05 thf(zip_derived_cl265, plain, 42.74/6.05 (( ('#form40') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl266, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk41'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n5) @ use @ '#sk41'))) 42.74/6.05 | ('#form40'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl265])). 42.74/6.05 thf(zip_derived_cl273, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk41') | ('#form40'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl266])). 42.74/6.05 thf(zip_derived_cl239, plain, 42.74/6.05 (( ('#form36') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl240, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk37'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n3) @ use @ '#sk37'))) 42.74/6.05 | ('#form36'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl239])). 42.74/6.05 thf(zip_derived_cl253, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk37') | ('#form36'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl240])). 42.74/6.05 thf(zip_derived_cl212, plain, 42.74/6.05 (( ('#form30') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl213, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk31'))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n1 @ n0) @ use @ '#sk31'))) 42.74/6.05 | ('#form30'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl212])). 42.74/6.05 thf(zip_derived_cl224, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk31') | ('#form30'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl213])). 42.74/6.05 thf(zip_derived_cl188, plain, 42.74/6.05 (( ('#form23') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl189, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk24'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n5) @ use @ '#sk24'))) 42.74/6.05 | ('#form23'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl188])). 42.74/6.05 thf(zip_derived_cl201, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk24') | ('#form23'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl189])). 42.74/6.05 thf(zip_derived_cl164, plain, 42.74/6.05 (( ('#form17') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl165, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk18'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n3) @ use @ '#sk18'))) 42.74/6.05 | ('#form17'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl164])). 42.74/6.05 thf(zip_derived_cl177, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk18') | ('#form17'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl165])). 42.74/6.05 thf(zip_derived_cl151, plain, 42.74/6.05 (( ('#form15') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl152, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk16'))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n0 @ n0) @ use @ '#sk16'))) 42.74/6.05 | ('#form15'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl151])). 42.74/6.05 thf(zip_derived_cl161, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk16') | ('#form15'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl152])). 42.74/6.05 thf(zip_derived_cl146, plain, 42.74/6.05 (( ('#form13') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl147, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk14'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n1) @ use @ '#sk14'))) 42.74/6.05 | ('#form13'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl146])). 42.74/6.05 thf(zip_derived_cl156, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk14') | ('#form13'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl147])). 42.74/6.05 thf(zip_derived_cl128, plain, 42.74/6.05 (( ('#form9') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl129, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk10'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n2) @ use @ '#sk10'))) 42.74/6.05 | ('#form9'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl128])). 42.74/6.05 thf(zip_derived_cl138, plain, (( (rel_s4 @ '#sk2' @ '#sk10') | ('#form9'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl129])). 42.74/6.05 thf(zip_derived_cl110, plain, 42.74/6.05 (( ('#form5') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl111, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk6'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n0) @ use @ '#sk6'))) 42.74/6.05 | ('#form5'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl110])). 42.74/6.05 thf(zip_derived_cl120, plain, (( (rel_s4 @ '#sk2' @ '#sk6') | ('#form5'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl111])). 42.74/6.05 thf(zip_derived_cl279, plain, 42.74/6.05 (( ('#form44') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl280, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk45'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n1) @ use @ '#sk45'))) 42.74/6.05 | ('#form44'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl279])). 42.74/6.05 thf(zip_derived_cl287, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk45') | ('#form44'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl280])). 42.74/6.05 thf(zip_derived_cl19, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl51, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])). 42.74/6.05 thf(zip_derived_cl83, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) | (leq @ pv5 @ (minus @ n999 @ n1) @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl51])). 42.74/6.05 thf(zip_derived_cl362, plain, 42.74/6.05 (( ('#form67') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl363, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk68'))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ '#sk68'))) 42.74/6.05 | ('#form67'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl362])). 42.74/6.05 thf(zip_derived_cl372, plain, 42.74/6.05 ((~ (leq @ pv5 @ (minus @ n999 @ n1) @ '#sk68') | ('#form67'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl363])). 42.74/6.05 thf(zip_derived_cl550, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk68') | ('#form67'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl372])). 42.74/6.05 thf(zip_derived_cl371, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk68') | ('#form67'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl363])). 42.74/6.05 thf(zip_derived_cl554, plain, ( ('#form67')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl550, zip_derived_cl371])). 42.74/6.05 thf(zip_derived_cl18, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl50, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])). 42.74/6.05 thf(zip_derived_cl82, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl50])). 42.74/6.05 thf(zip_derived_cl345, plain, 42.74/6.05 (( ('#form62') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl346, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk63'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ '#sk63'))) 42.74/6.05 | ('#form62'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl345])). 42.74/6.05 thf(zip_derived_cl355, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use @ '#sk63') 42.74/6.05 | ('#form62'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl346])). 42.74/6.05 thf(zip_derived_cl545, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk63') | ('#form62'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl355])). 42.74/6.05 thf(zip_derived_cl354, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk63') | ('#form62'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl346])). 42.74/6.05 thf(zip_derived_cl549, plain, ( ('#form62')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl545, zip_derived_cl354])). 42.74/6.05 thf(zip_derived_cl17, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl49, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n3) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 42.74/6.05 thf(zip_derived_cl81, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl49])). 42.74/6.05 thf(zip_derived_cl331, plain, 42.74/6.05 (( ('#form58') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl332, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk59'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n3) @ use @ '#sk59'))) 42.74/6.05 | ('#form58'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl331])). 42.74/6.05 thf(zip_derived_cl340, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use @ '#sk59') 42.74/6.05 | ('#form58'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl332])). 42.74/6.05 thf(zip_derived_cl540, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk59') | ('#form58'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl340])). 42.74/6.05 thf(zip_derived_cl339, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk59') | ('#form58'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl332])). 42.74/6.05 thf(zip_derived_cl544, plain, ( ('#form58')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl540, zip_derived_cl339])). 42.74/6.05 thf(zip_derived_cl16, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl48, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n1) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 42.74/6.05 thf(zip_derived_cl80, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl48])). 42.74/6.05 thf(zip_derived_cl321, plain, 42.74/6.05 (( ('#form56') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl322, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk57'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n1) @ use @ '#sk57'))) 42.74/6.05 | ('#form56'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl321])). 42.74/6.05 thf(zip_derived_cl328, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use @ '#sk57') 42.74/6.05 | ('#form56'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl322])). 42.74/6.05 thf(zip_derived_cl535, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk57') | ('#form56'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl328])). 42.74/6.05 thf(zip_derived_cl327, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk57') | ('#form56'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl322])). 42.74/6.05 thf(zip_derived_cl539, plain, ( ('#form56')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl535, zip_derived_cl327])). 42.74/6.05 thf(zip_derived_cl23, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl55, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n4) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])). 42.74/6.05 thf(zip_derived_cl87, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl55])). 42.74/6.05 thf(zip_derived_cl310, plain, 42.74/6.05 (( ('#form54') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl311, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk55'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n4) @ use @ '#sk55'))) 42.74/6.05 | ('#form54'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl310])). 42.74/6.05 thf(zip_derived_cl319, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use @ '#sk55') 42.74/6.05 | ('#form54'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl311])). 42.74/6.05 thf(zip_derived_cl555, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk55') | ('#form54'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl319])). 42.74/6.05 thf(zip_derived_cl318, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk55') | ('#form54'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl311])). 42.74/6.05 thf(zip_derived_cl559, plain, ( ('#form54')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl555, zip_derived_cl318])). 42.74/6.05 thf(zip_derived_cl15, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl47, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n5) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 42.74/6.05 thf(zip_derived_cl79, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl47])). 42.74/6.05 thf(zip_derived_cl307, plain, 42.74/6.05 (( ('#form52') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl308, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk53'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n5) @ use @ '#sk53'))) 42.74/6.05 | ('#form52'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl307])). 42.74/6.05 thf(zip_derived_cl316, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use @ '#sk53') 42.74/6.05 | ('#form52'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl308])). 42.74/6.05 thf(zip_derived_cl530, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk53') | ('#form52'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl316])). 42.74/6.05 thf(zip_derived_cl315, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk53') | ('#form52'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl308])). 42.74/6.05 thf(zip_derived_cl534, plain, ( ('#form52')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl530, zip_derived_cl315])). 42.74/6.05 thf(zip_derived_cl24, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl56, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n2) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 42.74/6.05 thf(zip_derived_cl88, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl56])). 42.74/6.05 thf(zip_derived_cl296, plain, 42.74/6.05 (( ('#form50') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl297, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk51'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n2) @ use @ '#sk51'))) 42.74/6.05 | ('#form50'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl296])). 42.74/6.05 thf(zip_derived_cl305, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use @ '#sk51') 42.74/6.05 | ('#form50'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl297])). 42.74/6.05 thf(zip_derived_cl560, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk51') | ('#form50'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl305])). 42.74/6.05 thf(zip_derived_cl304, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk51') | ('#form50'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl297])). 42.74/6.05 thf(zip_derived_cl564, plain, ( ('#form50')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl560, zip_derived_cl304])). 42.74/6.05 thf(zip_derived_cl25, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl57, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n0) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])). 42.74/6.05 thf(zip_derived_cl89, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl57])). 42.74/6.05 thf(zip_derived_cl282, plain, 42.74/6.05 (( ('#form46') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl283, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk47'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n0) @ use @ '#sk47'))) 42.74/6.05 | ('#form46'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl282])). 42.74/6.05 thf(zip_derived_cl291, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use @ '#sk47') 42.74/6.05 | ('#form46'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl283])). 42.74/6.05 thf(zip_derived_cl565, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk47') | ('#form46'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl291])). 42.74/6.05 thf(zip_derived_cl290, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk47') | ('#form46'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl283])). 42.74/6.05 thf(zip_derived_cl577, plain, ( ('#form46')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl565, zip_derived_cl290])). 42.74/6.05 thf(zip_derived_cl26, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl58, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n4) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl26])). 42.74/6.05 thf(zip_derived_cl90, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl58])). 42.74/6.05 thf(zip_derived_cl268, plain, 42.74/6.05 (( ('#form42') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl269, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk43'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n4) @ use @ '#sk43'))) 42.74/6.05 | ('#form42'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl268])). 42.74/6.05 thf(zip_derived_cl277, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use @ '#sk43') 42.74/6.05 | ('#form42'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl269])). 42.74/6.05 thf(zip_derived_cl578, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk43') | ('#form42'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl277])). 42.74/6.05 thf(zip_derived_cl276, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk43') | ('#form42'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl269])). 42.74/6.05 thf(zip_derived_cl582, plain, ( ('#form42')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl578, zip_derived_cl276])). 42.74/6.05 thf(zip_derived_cl27, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl59, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n2) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])). 42.74/6.05 thf(zip_derived_cl91, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl59])). 42.74/6.05 thf(zip_derived_cl248, plain, 42.74/6.05 (( ('#form38') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl249, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk39'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n2) @ use @ '#sk39'))) 42.74/6.05 | ('#form38'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl248])). 42.74/6.05 thf(zip_derived_cl263, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use @ '#sk39') 42.74/6.05 | ('#form38'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl249])). 42.74/6.05 thf(zip_derived_cl583, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk39') | ('#form38'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl263])). 42.74/6.05 thf(zip_derived_cl262, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk39') | ('#form38'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl249])). 42.74/6.05 thf(zip_derived_cl587, plain, ( ('#form38')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl583, zip_derived_cl262])). 42.74/6.05 thf(zip_derived_cl28, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl60, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n0) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])). 42.74/6.05 thf(zip_derived_cl92, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl60])). 42.74/6.05 thf(zip_derived_cl219, plain, 42.74/6.05 (( ('#form33') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl220, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk34'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n0) @ use @ '#sk34'))) 42.74/6.05 | ('#form33'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl219])). 42.74/6.05 thf(zip_derived_cl237, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use @ '#sk34') 42.74/6.05 | ('#form33'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl220])). 42.74/6.05 thf(zip_derived_cl588, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk34') | ('#form33'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl237])). 42.74/6.05 thf(zip_derived_cl236, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk34') | ('#form33'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl220])). 42.74/6.05 thf(zip_derived_cl592, plain, ( ('#form33')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl588, zip_derived_cl236])). 42.74/6.05 thf(zip_derived_cl29, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n4) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl61, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n4) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 42.74/6.05 thf(zip_derived_cl93, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl61])). 42.74/6.05 thf(zip_derived_cl196, plain, 42.74/6.05 (( ('#form27') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl197, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk28'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n4) @ use @ '#sk28'))) 42.74/6.05 | ('#form27'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl196])). 42.74/6.05 thf(zip_derived_cl210, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use @ '#sk28') 42.74/6.05 | ('#form27'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl197])). 42.74/6.05 thf(zip_derived_cl593, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk28') | ('#form27'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl210])). 42.74/6.05 thf(zip_derived_cl209, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk28') | ('#form27'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl197])). 42.74/6.05 thf(zip_derived_cl597, plain, ( ('#form27')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl593, zip_derived_cl209])). 42.74/6.05 thf(zip_derived_cl30, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl62, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n2 @ n0) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])). 42.74/6.05 thf(zip_derived_cl94, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl62])). 42.74/6.05 thf(zip_derived_cl172, plain, 42.74/6.05 (( ('#form21') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl173, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk22'))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n2 @ n0) @ use @ '#sk22'))) 42.74/6.05 | ('#form21'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl172])). 42.74/6.05 thf(zip_derived_cl186, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use @ '#sk22') 42.74/6.05 | ('#form21'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl173])). 42.74/6.05 thf(zip_derived_cl620, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk22') | ('#form21'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl186])). 42.74/6.05 thf(zip_derived_cl185, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk22') | ('#form21'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl173])). 42.74/6.05 thf(zip_derived_cl624, plain, ( ('#form21')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl620, zip_derived_cl185])). 42.74/6.05 thf(zip_derived_cl32, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n4) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl64, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n4) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 42.74/6.05 thf(zip_derived_cl96, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl64])). 42.74/6.05 thf(zip_derived_cl133, plain, 42.74/6.05 (( ('#form11') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl134, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk12'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n4) @ use @ '#sk12'))) 42.74/6.05 | ('#form11'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl133])). 42.74/6.05 thf(zip_derived_cl144, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use @ '#sk12') 42.74/6.05 | ('#form11'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl134])). 42.74/6.05 thf(zip_derived_cl598, plain, 42.74/6.05 ((~ (rel_s4 @ '#sk2' @ '#sk12') | ('#form11'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl144])). 42.74/6.05 thf(zip_derived_cl143, plain, 42.74/6.05 (( (rel_s4 @ '#sk2' @ '#sk12') | ('#form11'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl134])). 42.74/6.05 thf(zip_derived_cl602, plain, ( ('#form11')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl598, zip_derived_cl143])). 42.74/6.05 thf(zip_derived_cl33, plain, 42.74/6.05 ( (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n2) @ use @ Y0))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.05 thf(zip_derived_cl65, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n2) @ use @ X2)))), 42.74/6.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl33])). 42.74/6.05 thf(zip_derived_cl97, plain, 42.74/6.05 (![X2 : $i]: 42.74/6.05 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.05 | (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use @ X2))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl65])). 42.74/6.05 thf(zip_derived_cl115, plain, 42.74/6.05 (( ('#form7') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n2) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl116, plain, 42.74/6.05 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk8'))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n2) @ use @ '#sk8'))) 42.74/6.05 | ('#form7'))), 42.74/6.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl115])). 42.74/6.05 thf(zip_derived_cl126, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use @ '#sk8') 42.74/6.05 | ('#form7'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl116])). 42.74/6.05 thf(zip_derived_cl615, plain, ((~ (rel_s4 @ '#sk2' @ '#sk8') | ('#form7'))), 42.74/6.05 inference('sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl126])). 42.74/6.05 thf(zip_derived_cl125, plain, (( (rel_s4 @ '#sk2' @ '#sk8') | ('#form7'))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl116])). 42.74/6.05 thf(zip_derived_cl619, plain, ( ('#form7')), 42.74/6.05 inference('clc', [status(thm)], [zip_derived_cl615, zip_derived_cl125])). 42.74/6.05 thf(zip_derived_cl109, plain, 42.74/6.05 ((~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.05 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n2) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 pv5 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 ( 42.74/6.05 minus @ 42.74/6.05 pv5 @ n1) @ 42.74/6.05 Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))))), 42.74/6.05 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl104])). 42.74/6.05 thf(zip_derived_cl115, plain, 42.74/6.05 (( ('#form7') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n2) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl118, plain, 42.74/6.05 ((~ ('#form7') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 u_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 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(( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y1 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y1 @ 42.74/6.05 n2 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 pv5 @ Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.05 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl109, zip_derived_cl115])). 42.74/6.05 thf(zip_derived_cl110, plain, 42.74/6.05 (( ('#form5') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n0) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl127, plain, 42.74/6.05 ((~ ('#form5') 42.74/6.05 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.05 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.05 Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 a_select3 @ 42.74/6.05 z_defuse @ 42.74/6.05 Y1 @ Y3) @ 42.74/6.05 use @ Y5)))))))) | 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 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42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.05 (((!!) @ (^[Y1 : mu]: 42.74/6.05 (((exists_in_world @ Y1 @ Y0) => 42.74/6.05 (((!!) @ (^[Y2 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.05 (((!!) @ (^[Y3 : mu]: 42.74/6.05 (((exists_in_world @ 42.74/6.05 Y3 @ Y2) => 42.74/6.05 (((!!) @ ( 42.74/6.05 ^[Y4 : $i]: 42.74/6.05 (( 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y2 @ Y4))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (qmltpeq @ 42.74/6.05 ( 42.74/6.05 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^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 Y3 @ 42.74/6.05 ( 42.74/6.05 minus @ 42.74/6.05 pv5 @ n1) @ 42.74/6.05 Y5)))))))) | 42.74/6.05 ( 42.74/6.05 ( 42.74/6.05 (~) @ ( 42.74/6.05 ( 42.74/6.05 (!!) @ ( 42.74/6.05 ^[Y5 : $i]: 42.74/6.05 (( 42.74/6.05 (( 42.74/6.05 (~) @ ( 42.74/6.05 rel_s4 @ 42.74/6.05 Y4 @ Y5))) | 42.74/6.05 (leq @ 42.74/6.05 n0 @ 42.74/6.05 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.05 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.74/6.05 | ~ ('#form7'))), 42.74/6.05 inference('renaming', [status(thm)], 42.74/6.05 [zip_derived_cl118, zip_derived_cl110])). 42.74/6.05 thf(zip_derived_cl133, plain, 42.74/6.05 (( ('#form11') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n4) @ use @ Y0)))))))), 42.74/6.05 define([status(thm)])). 42.74/6.05 thf(zip_derived_cl136, plain, 42.74/6.05 ((~ ('#form11') 42.74/6.05 | ~ ('#form7') 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))) 42.74/6.05 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.05 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.05 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | ~ ('#form5'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl127, zip_derived_cl133])). 42.74/6.06 thf(zip_derived_cl128, plain, 42.74/6.06 (( ('#form9') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ rho_defuse @ n2) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl145, plain, 42.74/6.06 ((~ ('#form9') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ ('#form11'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl136, zip_derived_cl128])). 42.74/6.06 thf(zip_derived_cl151, plain, 42.74/6.06 (( ('#form15') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl154, plain, 42.74/6.06 ((~ ('#form15') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ ('#form9'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl145, zip_derived_cl151])). 42.74/6.06 thf(zip_derived_cl146, plain, 42.74/6.06 (( ('#form13') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n1) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl163, plain, 42.74/6.06 ((~ ('#form13') 42.74/6.06 | ~ ('#form9') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form15'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl154, zip_derived_cl146])). 42.74/6.06 thf(zip_derived_cl172, plain, 42.74/6.06 (( ('#form21') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl175, plain, 42.74/6.06 ((~ ('#form21') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 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42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ 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n3) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl187, plain, 42.74/6.06 ((~ ('#form17') 42.74/6.06 | ~ ('#form13') 42.74/6.06 | ~ ('#form9') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form21'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl175, zip_derived_cl164])). 42.74/6.06 thf(zip_derived_cl196, plain, 42.74/6.06 (( ('#form27') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n4) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl199, plain, 42.74/6.06 ((~ ('#form27') 42.74/6.06 | ~ ('#form21') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ ('#form9') 42.74/6.06 | ~ ('#form13') 42.74/6.06 | ~ ('#form17'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl187, zip_derived_cl196])). 42.74/6.06 thf(zip_derived_cl188, plain, 42.74/6.06 (( ('#form23') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ sigma_defuse @ n5) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl211, plain, 42.74/6.06 ((~ ('#form23') 42.74/6.06 | ~ ('#form17') 42.74/6.06 | ~ ('#form13') 42.74/6.06 | ~ ('#form9') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form21') 42.74/6.06 | ~ ('#form27'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl199, zip_derived_cl188])). 42.74/6.06 thf(zip_derived_cl219, plain, 42.74/6.06 (( ('#form33') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl222, plain, 42.74/6.06 ((~ ('#form33') 42.74/6.06 | ~ ('#form27') 42.74/6.06 | ~ ('#form21') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ ('#form9') 42.74/6.06 | ~ ('#form13') 42.74/6.06 | ~ ('#form17') 42.74/6.06 | ~ ('#form23'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl211, zip_derived_cl219])). 42.74/6.06 thf(zip_derived_cl212, plain, 42.74/6.06 (( ('#form30') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl238, plain, 42.74/6.06 ((~ ('#form30') 42.74/6.06 | ~ ('#form23') 42.74/6.06 | ~ ('#form17') 42.74/6.06 | ~ ('#form13') 42.74/6.06 | ~ ('#form9') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ 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42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form21') 42.74/6.06 | ~ ('#form27') 42.74/6.06 | ~ ('#form33'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl222, zip_derived_cl212])). 42.74/6.06 thf(zip_derived_cl248, plain, 42.74/6.06 (( ('#form38') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl251, plain, 42.74/6.06 ((~ ('#form38') 42.74/6.06 | ~ ('#form33') 42.74/6.06 | ~ ('#form27') 42.74/6.06 | ~ ('#form21') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 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(((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 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Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form21') 42.74/6.06 | ~ ('#form27') 42.74/6.06 | ~ ('#form33') 42.74/6.06 | ~ ('#form38'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl251, zip_derived_cl239])). 42.74/6.06 thf(zip_derived_cl268, plain, 42.74/6.06 (( ('#form42') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl271, plain, 42.74/6.06 ((~ ('#form42') 42.74/6.06 | ~ ('#form38') 42.74/6.06 | ~ ('#form33') 42.74/6.06 | ~ ('#form27') 42.74/6.06 | ~ ('#form21') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y0)))))) 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ ('#form9') 42.74/6.06 | ~ ('#form13') 42.74/6.06 | ~ ('#form17') 42.74/6.06 | ~ ('#form23') 42.74/6.06 | ~ ('#form30') 42.74/6.06 | ~ ('#form36'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl264, zip_derived_cl268])). 42.74/6.06 thf(zip_derived_cl265, plain, 42.74/6.06 (( ('#form40') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_defuse @ n5) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl278, 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@ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 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(a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form21') 42.74/6.06 | ~ ('#form27') 42.74/6.06 | ~ ('#form33') 42.74/6.06 | ~ ('#form38') 42.74/6.06 | ~ ('#form42'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl271, zip_derived_cl265])). 42.74/6.06 thf(zip_derived_cl282, plain, 42.74/6.06 (( ('#form46') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ 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~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ ('#form9') 42.74/6.06 | ~ ('#form13') 42.74/6.06 | ~ ('#form17') 42.74/6.06 | ~ ('#form23') 42.74/6.06 | ~ ('#form30') 42.74/6.06 | ~ ('#form36') 42.74/6.06 | ~ ('#form40'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl278, zip_derived_cl282])). 42.74/6.06 thf(zip_derived_cl279, plain, 42.74/6.06 (( ('#form44') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl292, plain, 42.74/6.06 ((~ ('#form44') 42.74/6.06 | ~ ('#form40') 42.74/6.06 | ~ ('#form36') 42.74/6.06 | ~ ('#form30') 42.74/6.06 | ~ ('#form23') 42.74/6.06 | ~ ('#form17') 42.74/6.06 | ~ ('#form13') 42.74/6.06 | ~ ('#form9') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 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42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form21') 42.74/6.06 | ~ ('#form27') 42.74/6.06 | ~ ('#form33') 42.74/6.06 | ~ ('#form38') 42.74/6.06 | ~ ('#form42') 42.74/6.06 | ~ ('#form46'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl285, zip_derived_cl279])). 42.74/6.06 thf(zip_derived_cl296, plain, 42.74/6.06 (( ('#form50') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 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42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ ('#form9') 42.74/6.06 | ~ ('#form13') 42.74/6.06 | ~ ('#form17') 42.74/6.06 | ~ ('#form23') 42.74/6.06 | ~ ('#form30') 42.74/6.06 | ~ ('#form36') 42.74/6.06 | ~ ('#form40') 42.74/6.06 | ~ ('#form44'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl292, zip_derived_cl296])). 42.74/6.06 thf(zip_derived_cl293, plain, 42.74/6.06 (( ('#form48') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl306, plain, 42.74/6.06 ((~ ('#form48') 42.74/6.06 | ~ ('#form44') 42.74/6.06 | ~ ('#form40') 42.74/6.06 | ~ ('#form36') 42.74/6.06 | ~ ('#form30') 42.74/6.06 | ~ ('#form23') 42.74/6.06 | ~ ('#form17') 42.74/6.06 | ~ ('#form13') 42.74/6.06 | ~ ('#form9') 42.74/6.06 | ~ ('#form5') 42.74/6.06 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.06 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.06 Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 pv5 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y1 @ 42.74/6.06 n2 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 Y3 @ 42.74/6.06 ( 42.74/6.06 minus @ 42.74/6.06 pv5 @ n1) @ 42.74/6.06 Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form21') 42.74/6.06 | ~ ('#form27') 42.74/6.06 | ~ ('#form33') 42.74/6.06 | ~ ('#form38') 42.74/6.06 | ~ ('#form42') 42.74/6.06 | ~ ('#form46') 42.74/6.06 | ~ ('#form50'))), 42.74/6.06 inference('renaming', [status(thm)], 42.74/6.06 [zip_derived_cl299, zip_derived_cl293])). 42.74/6.06 thf(zip_derived_cl310, plain, 42.74/6.06 (( ('#form54') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y0)))))))), 42.74/6.06 define([status(thm)])). 42.74/6.06 thf(zip_derived_cl313, plain, 42.74/6.06 ((~ ('#form54') 42.74/6.06 | ~ ('#form50') 42.74/6.06 | ~ ('#form46') 42.74/6.06 | ~ ('#form42') 42.74/6.06 | ~ ('#form38') 42.74/6.06 | ~ ('#form33') 42.74/6.06 | ~ ('#form27') 42.74/6.06 | ~ ('#form21') 42.74/6.06 | ~ ('#form15') 42.74/6.06 | ~ ('#form11') 42.74/6.06 | ~ ('#form7') 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.06 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.06 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.06 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.06 (((!!) @ (^[Y1 : mu]: 42.74/6.06 (((exists_in_world @ Y1 @ Y0) => 42.74/6.06 (((!!) @ (^[Y2 : $i]: 42.74/6.06 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.06 (((!!) @ (^[Y3 : mu]: 42.74/6.06 (((exists_in_world @ 42.74/6.06 Y3 @ Y2) => 42.74/6.06 (((!!) @ ( 42.74/6.06 ^[Y4 : $i]: 42.74/6.06 (( 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y2 @ Y4))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 z_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))) | 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (qmltpeq @ 42.74/6.06 ( 42.74/6.06 a_select3 @ 42.74/6.06 u_defuse @ 42.74/6.06 Y1 @ Y3) @ 42.74/6.06 use @ Y5)))))))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.06 (( 42.74/6.06 (( 42.74/6.06 (~) @ ( 42.74/6.06 rel_s4 @ 42.74/6.06 Y4 @ Y5))) | 42.74/6.06 (leq @ 42.74/6.06 n0 @ 42.74/6.06 Y1 @ Y5)))))))) | 42.74/6.06 ( 42.74/6.06 ( 42.74/6.06 (~) @ ( 42.74/6.06 ( 42.74/6.06 (!!) @ ( 42.74/6.06 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 ( 42.74/6.07 minus @ 42.74/6.07 pv5 @ n1) @ 42.74/6.07 Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 pv5 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.07 Y0)))))) 42.74/6.07 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.07 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.07 | ~ ('#form5') 42.74/6.07 | ~ ('#form9') 42.74/6.07 | ~ ('#form13') 42.74/6.07 | ~ ('#form17') 42.74/6.07 | ~ ('#form23') 42.74/6.07 | ~ ('#form30') 42.74/6.07 | ~ ('#form36') 42.74/6.07 | ~ ('#form40') 42.74/6.07 | ~ ('#form44') 42.74/6.07 | ~ ('#form48'))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl306, zip_derived_cl310])). 42.74/6.07 thf(zip_derived_cl307, plain, 42.74/6.07 (( ('#form52') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y0)))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl320, plain, 42.74/6.07 ((~ ('#form52') 42.74/6.07 | ~ ('#form48') 42.74/6.07 | ~ ('#form44') 42.74/6.07 | ~ ('#form40') 42.74/6.07 | ~ ('#form36') 42.74/6.07 | ~ ('#form30') 42.74/6.07 | ~ ('#form23') 42.74/6.07 | ~ ('#form17') 42.74/6.07 | ~ ('#form13') 42.74/6.07 | ~ ('#form9') 42.74/6.07 | ~ ('#form5') 42.74/6.07 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.07 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ 42.74/6.07 Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 pv5 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 ( 42.74/6.07 minus @ 42.74/6.07 pv5 @ n1) @ 42.74/6.07 Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.07 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.07 | ~ ('#form7') 42.74/6.07 | ~ ('#form11') 42.74/6.07 | ~ ('#form15') 42.74/6.07 | ~ ('#form21') 42.74/6.07 | ~ ('#form27') 42.74/6.07 | ~ ('#form33') 42.74/6.07 | ~ ('#form38') 42.74/6.07 | ~ ('#form42') 42.74/6.07 | ~ ('#form46') 42.74/6.07 | ~ ('#form50') 42.74/6.07 | ~ ('#form54'))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl313, zip_derived_cl307])). 42.74/6.07 thf(zip_derived_cl169, plain, 42.74/6.07 (![X4 : mu, X10 : $i]: 42.74/6.07 ( ('#form19' @ X4 @ X10) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.07 Y0)))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl325, plain, 42.74/6.07 ((~ ('#form19' @ pv5 @ '#sk2') 42.74/6.07 | ~ ('#form54') 42.74/6.07 | ~ ('#form50') 42.74/6.07 | ~ ('#form46') 42.74/6.07 | ~ ('#form42') 42.74/6.07 | ~ ('#form38') 42.74/6.07 | ~ ('#form33') 42.74/6.07 | ~ ('#form27') 42.74/6.07 | ~ ('#form21') 42.74/6.07 | ~ ('#form15') 42.74/6.07 | ~ ('#form11') 42.74/6.07 | ~ ('#form7') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.07 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 ( 42.74/6.07 minus @ 42.74/6.07 pv5 @ n1) @ 42.74/6.07 Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 pv5 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.07 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.07 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.07 | ~ ('#form5') 42.74/6.07 | ~ ('#form9') 42.74/6.07 | ~ ('#form13') 42.74/6.07 | ~ ('#form17') 42.74/6.07 | ~ ('#form23') 42.74/6.07 | ~ ('#form30') 42.74/6.07 | ~ ('#form36') 42.74/6.07 | ~ ('#form40') 42.74/6.07 | ~ ('#form44') 42.74/6.07 | ~ ('#form48') 42.74/6.07 | ~ ('#form52'))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl320, zip_derived_cl169])). 42.74/6.07 thf(zip_derived_cl321, plain, 42.74/6.07 (( ('#form56') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y0)))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl330, plain, 42.74/6.07 ((~ ('#form56') 42.74/6.07 | ~ ('#form52') 42.74/6.07 | ~ ('#form48') 42.74/6.07 | ~ ('#form44') 42.74/6.07 | ~ ('#form40') 42.74/6.07 | ~ ('#form36') 42.74/6.07 | ~ ('#form30') 42.74/6.07 | ~ ('#form23') 42.74/6.07 | ~ ('#form17') 42.74/6.07 | ~ ('#form13') 42.74/6.07 | ~ ('#form9') 42.74/6.07 | ~ ('#form5') 42.74/6.07 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.07 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 pv5 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 ( 42.74/6.07 minus @ 42.74/6.07 pv5 @ n1) @ 42.74/6.07 Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.07 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.07 | ~ ('#form7') 42.74/6.07 | ~ ('#form11') 42.74/6.07 | ~ ('#form15') 42.74/6.07 | ~ ('#form21') 42.74/6.07 | ~ ('#form27') 42.74/6.07 | ~ ('#form33') 42.74/6.07 | ~ ('#form38') 42.74/6.07 | ~ ('#form42') 42.74/6.07 | ~ ('#form46') 42.74/6.07 | ~ ('#form50') 42.74/6.07 | ~ ('#form54') 42.74/6.07 | ~ ('#form19' @ pv5 @ '#sk2'))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl325, zip_derived_cl321])). 42.74/6.07 thf(zip_derived_cl334, plain, 42.74/6.07 (( ('#form60') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 pv5 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl337, plain, 42.74/6.07 ((~ ('#form60') 42.74/6.07 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.07 | ~ ('#form54') 42.74/6.07 | ~ ('#form50') 42.74/6.07 | ~ ('#form46') 42.74/6.07 | ~ ('#form42') 42.74/6.07 | ~ ('#form38') 42.74/6.07 | ~ ('#form33') 42.74/6.07 | ~ ('#form27') 42.74/6.07 | ~ ('#form21') 42.74/6.07 | ~ ('#form15') 42.74/6.07 | ~ ('#form11') 42.74/6.07 | ~ ('#form7') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.07 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 ( 42.74/6.07 minus @ 42.74/6.07 pv5 @ n1) @ 42.74/6.07 Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.07 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.07 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.07 | ~ ('#form5') 42.74/6.07 | ~ ('#form9') 42.74/6.07 | ~ ('#form13') 42.74/6.07 | ~ ('#form17') 42.74/6.07 | ~ ('#form23') 42.74/6.07 | ~ ('#form30') 42.74/6.07 | ~ ('#form36') 42.74/6.07 | ~ ('#form40') 42.74/6.07 | ~ ('#form44') 42.74/6.07 | ~ ('#form48') 42.74/6.07 | ~ ('#form52') 42.74/6.07 | ~ ('#form56'))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl330, zip_derived_cl334])). 42.74/6.07 thf(zip_derived_cl331, plain, 42.74/6.07 (( ('#form58') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y0)))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl344, plain, 42.74/6.07 ((~ ('#form58') 42.74/6.07 | ~ ('#form56') 42.74/6.07 | ~ ('#form52') 42.74/6.07 | ~ ('#form48') 42.74/6.07 | ~ ('#form44') 42.74/6.07 | ~ ('#form40') 42.74/6.07 | ~ ('#form36') 42.74/6.07 | ~ ('#form30') 42.74/6.07 | ~ ('#form23') 42.74/6.07 | ~ ('#form17') 42.74/6.07 | ~ ('#form13') 42.74/6.07 | ~ ('#form9') 42.74/6.07 | ~ ('#form5') 42.74/6.07 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.07 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 ( 42.74/6.07 minus @ 42.74/6.07 pv5 @ n1) @ 42.74/6.07 Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.07 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.07 | ~ ('#form7') 42.74/6.07 | ~ ('#form11') 42.74/6.07 | ~ ('#form15') 42.74/6.07 | ~ ('#form21') 42.74/6.07 | ~ ('#form27') 42.74/6.07 | ~ ('#form33') 42.74/6.07 | ~ ('#form38') 42.74/6.07 | ~ ('#form42') 42.74/6.07 | ~ ('#form46') 42.74/6.07 | ~ ('#form50') 42.74/6.07 | ~ ('#form54') 42.74/6.07 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.07 | ~ ('#form60'))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl337, zip_derived_cl331])). 42.74/6.07 thf(zip_derived_cl348, plain, 42.74/6.07 (( ('#form64') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 ( 42.74/6.07 minus @ 42.74/6.07 pv5 @ n1) @ 42.74/6.07 Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl352, plain, 42.74/6.07 ((~ ('#form64') 42.74/6.07 | ~ ('#form60') 42.74/6.07 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.07 | ~ ('#form54') 42.74/6.07 | ~ ('#form50') 42.74/6.07 | ~ ('#form46') 42.74/6.07 | ~ ('#form42') 42.74/6.07 | ~ ('#form38') 42.74/6.07 | ~ ('#form33') 42.74/6.07 | ~ ('#form27') 42.74/6.07 | ~ ('#form21') 42.74/6.07 | ~ ('#form15') 42.74/6.07 | ~ ('#form11') 42.74/6.07 | ~ ('#form7') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.07 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.07 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.07 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.07 | ~ ('#form5') 42.74/6.07 | ~ ('#form9') 42.74/6.07 | ~ ('#form13') 42.74/6.07 | ~ ('#form17') 42.74/6.07 | ~ ('#form23') 42.74/6.07 | ~ ('#form30') 42.74/6.07 | ~ ('#form36') 42.74/6.07 | ~ ('#form40') 42.74/6.07 | ~ ('#form44') 42.74/6.07 | ~ ('#form48') 42.74/6.07 | ~ ('#form52') 42.74/6.07 | ~ ('#form56') 42.74/6.07 | ~ ('#form58'))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl344, zip_derived_cl348])). 42.74/6.07 thf(zip_derived_cl345, plain, 42.74/6.07 (( ('#form62') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y0)))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl361, plain, 42.74/6.07 ((~ ('#form62') 42.74/6.07 | ~ ('#form58') 42.74/6.07 | ~ ('#form56') 42.74/6.07 | ~ ('#form52') 42.74/6.07 | ~ ('#form48') 42.74/6.07 | ~ ('#form44') 42.74/6.07 | ~ ('#form40') 42.74/6.07 | ~ ('#form36') 42.74/6.07 | ~ ('#form30') 42.74/6.07 | ~ ('#form23') 42.74/6.07 | ~ ('#form17') 42.74/6.07 | ~ ('#form13') 42.74/6.07 | ~ ('#form9') 42.74/6.07 | ~ ('#form5') 42.74/6.07 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.07 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.07 (minus @ n999 @ n1) @ Y0)))))) 42.74/6.07 | ~ ('#form7') 42.74/6.07 | ~ ('#form11') 42.74/6.07 | ~ ('#form15') 42.74/6.07 | ~ ('#form21') 42.74/6.07 | ~ ('#form27') 42.74/6.07 | ~ ('#form33') 42.74/6.07 | ~ ('#form38') 42.74/6.07 | ~ ('#form42') 42.74/6.07 | ~ ('#form46') 42.74/6.07 | ~ ('#form50') 42.74/6.07 | ~ ('#form54') 42.74/6.07 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.07 | ~ ('#form60') 42.74/6.07 | ~ ('#form64'))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl352, zip_derived_cl345])). 42.74/6.07 thf(zip_derived_cl362, plain, 42.74/6.07 (( ('#form67') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ pv5 @ 42.74/6.07 (minus @ n999 @ n1) @ Y0)))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl368, plain, 42.74/6.07 ((~ ('#form67') 42.74/6.07 | ~ ('#form64') 42.74/6.07 | ~ ('#form60') 42.74/6.07 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.07 | ~ ('#form54') 42.74/6.07 | ~ ('#form50') 42.74/6.07 | ~ ('#form46') 42.74/6.07 | ~ ('#form42') 42.74/6.07 | ~ ('#form38') 42.74/6.07 | ~ ('#form33') 42.74/6.07 | ~ ('#form27') 42.74/6.07 | ~ ('#form21') 42.74/6.07 | ~ ('#form15') 42.74/6.07 | ~ ('#form11') 42.74/6.07 | ~ ('#form7') 42.74/6.07 | (rel_s4 @ '#sk2' @ '#sk3') 42.74/6.07 | ~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.07 | ~ ('#form5') 42.74/6.07 | ~ ('#form9') 42.74/6.07 | ~ ('#form13') 42.74/6.07 | ~ ('#form17') 42.74/6.07 | ~ ('#form23') 42.74/6.07 | ~ ('#form30') 42.74/6.07 | ~ ('#form36') 42.74/6.07 | ~ ('#form40') 42.74/6.07 | ~ ('#form44') 42.74/6.07 | ~ ('#form48') 42.74/6.07 | ~ ('#form52') 42.74/6.07 | ~ ('#form56') 42.74/6.07 | ~ ('#form58') 42.74/6.07 | ~ ('#form62'))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl361, zip_derived_cl362])). 42.74/6.07 thf(zip_derived_cl433, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select3 @ u_defuse @ '#sk69' @ '#sk73') @ use @ '#sk79') 42.74/6.07 | (rel_s4 @ '#sk75' @ '#sk77') 42.74/6.07 | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl430])). 42.74/6.07 thf(zip_derived_cl385, plain, 42.74/6.07 (( (exists_in_world @ '#sk73' @ '#sk71') | ('#form64'))), 42.74/6.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl383])). 42.74/6.07 thf(zip_derived_cl403, plain, 42.74/6.07 (( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (leq @ '#sk73' @ 42.74/6.07 (minus @ pv5 @ n1) @ Y0)))))) 42.74/6.07 | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl393])). 42.74/6.07 thf(zip_derived_cl413, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 ( (((((~) @ (rel_s4 @ '#sk75' @ X2))) | (leq @ '#sk73' @ 42.74/6.07 (minus @ pv5 @ n1) @ X2))) 42.74/6.07 | ('#form64'))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl403])). 42.74/6.07 thf(zip_derived_cl420, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk75' @ X2) 42.74/6.07 | (leq @ '#sk73' @ (minus @ pv5 @ n1) @ X2) 42.74/6.07 | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl413])). 42.74/6.07 thf(zip_derived_cl334, plain, 42.74/6.07 (( ('#form60') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((!!) @ (^[Y3 : mu]: 42.74/6.07 (((exists_in_world @ 42.74/6.07 Y3 @ Y2) => 42.74/6.07 (((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y4))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y1 @ Y3) @ 42.74/6.07 use @ Y5)))))))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 n2 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 Y3 @ 42.74/6.07 pv5 @ Y5)))))))) | 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y5 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y4 @ Y5))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y3 @ Y5))))))))))))))))))))))))))))))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl335, plain, 42.74/6.07 ((~ (((((~) @ (rel_s4 @ '#sk2' @ '#sk61'))) | 42.74/6.07 (((!!) @ (^[Y0 : mu]: 42.74/6.07 (((exists_in_world @ Y0 @ '#sk61') => 42.74/6.07 (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk61' @ Y1))) | 42.74/6.07 (((!!) @ (^[Y2 : mu]: 42.74/6.07 (((exists_in_world @ Y2 @ 42.74/6.07 Y1) => 42.74/6.07 (((!!) @ (^[Y3 : $i]: 42.74/6.07 (((((~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y1 @ Y3))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y0 @ Y2) @ 42.74/6.07 use @ Y4)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y0 @ Y2) @ 42.74/6.07 use @ Y4)))))))))))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y0 @ Y4)))))))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (leq @ 42.74/6.07 Y0 @ 42.74/6.07 n2 @ Y4)))))))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (leq @ 42.74/6.07 Y2 @ 42.74/6.07 pv5 @ Y4)))))))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ( 42.74/6.07 (!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y2 @ Y4)))))))))))))))))))))))))))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl334])). 42.74/6.07 thf(zip_derived_cl343, plain, 42.74/6.07 ((~ (((!!) @ (^[Y0 : mu]: 42.74/6.07 (((exists_in_world @ Y0 @ '#sk61') => 42.74/6.07 (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk61' @ Y1))) | 42.74/6.07 (((!!) @ (^[Y2 : mu]: 42.74/6.07 (((exists_in_world @ Y2 @ 42.74/6.07 Y1) => 42.74/6.07 (((!!) @ (^[Y3 : $i]: 42.74/6.07 (((((~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y1 @ Y3))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ((( 42.74/6.07 (~) @ ( 42.74/6.07 ((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 Y0 @ Y2) @ 42.74/6.07 use @ Y4)))))))) | 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 ((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 Y0 @ Y2) @ 42.74/6.07 use @ Y4)))))))))))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y0 @ Y4)))))))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (leq @ 42.74/6.07 Y0 @ 42.74/6.07 n2 @ Y4)))))))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (leq @ 42.74/6.07 Y2 @ 42.74/6.07 pv5 @ Y4)))))))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ((!!) @ ( 42.74/6.07 ^[Y4 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y3 @ Y4))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y2 @ Y4)))))))))))))))))))))))))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl335])). 42.74/6.07 thf(zip_derived_cl351, plain, 42.74/6.07 ((~ (((exists_in_world @ '#sk66' @ '#sk61') => 42.74/6.07 (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk61' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((~) @ (((((~) @ ( 42.74/6.07 ((!!) @ ( 42.74/6.07 ^[Y3 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 '#sk66' @ 42.74/6.07 Y1) @ 42.74/6.07 use @ Y3)))))))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ((!!) @ ( 42.74/6.07 ^[Y3 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 '#sk66' @ 42.74/6.07 Y1) @ 42.74/6.07 use @ Y3)))))))))))) | 42.74/6.07 (((~) @ (((!!) @ ( 42.74/6.07 ^[Y3 : $i]: 42.74/6.07 (((((~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 '#sk66' @ 42.74/6.07 Y3)))))))) | 42.74/6.07 (((~) @ (((!!) @ ( 42.74/6.07 ^[Y3 : $i]: 42.74/6.07 (((((~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (leq @ 42.74/6.07 '#sk66' @ 42.74/6.07 n2 @ Y3)))))))) | 42.74/6.07 (((~) @ (((!!) @ ( 42.74/6.07 ^[Y3 : $i]: 42.74/6.07 (((((~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ pv5 @ 42.74/6.07 Y3)))))))) | 42.74/6.07 (((~) @ (((!!) @ ( 42.74/6.07 ^[Y3 : $i]: 42.74/6.07 (((((~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ Y1 @ 42.74/6.07 Y3))))))))))))))))))))))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl343])). 42.74/6.07 thf(zip_derived_cl360, plain, 42.74/6.07 ((~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk61' @ Y0))) | 42.74/6.07 (((!!) @ (^[Y1 : mu]: 42.74/6.07 (((exists_in_world @ Y1 @ Y0) => 42.74/6.07 (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y2))) | 42.74/6.07 (((~) @ (((((~) @ ( 42.74/6.07 ((!!) @ ( 42.74/6.07 ^[Y3 : $i]: 42.74/6.07 (((( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 '#sk66' @ 42.74/6.07 Y1) @ 42.74/6.07 use @ Y3)))))))) | 42.74/6.07 (((~) @ ( 42.74/6.07 ((!!) @ ( 42.74/6.07 ^[Y3 : $i]: 42.74/6.07 (((( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 '#sk66' @ 42.74/6.07 Y1) @ 42.74/6.07 use @ Y3)))))))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y3 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 '#sk66' @ 42.74/6.07 Y3)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y3 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (leq @ 42.74/6.07 '#sk66' @ 42.74/6.07 n2 @ Y3)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y3 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (leq @ 42.74/6.07 Y1 @ 42.74/6.07 pv5 @ Y3)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y3 : $i]: 42.74/6.07 (( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y2 @ Y3))) | 42.74/6.07 (leq @ 42.74/6.07 n0 @ 42.74/6.07 Y1 @ Y3))))))))))))))))))))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl351])). 42.74/6.07 thf(zip_derived_cl367, plain, 42.74/6.07 ((~ (((((~) @ (rel_s4 @ '#sk61' @ '#sk70'))) | 42.74/6.07 (((!!) @ (^[Y0 : mu]: 42.74/6.07 (((exists_in_world @ Y0 @ '#sk70') => 42.74/6.07 (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk70' @ Y1))) | 42.74/6.07 (((~) @ (((((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y1 @ Y2))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 '#sk66' @ 42.74/6.07 Y0) @ 42.74/6.07 use @ Y2)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 ( 42.74/6.07 ( 42.74/6.07 (( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y1 @ Y2))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 '#sk66' @ 42.74/6.07 Y0) @ 42.74/6.07 use @ Y2)))))))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ ( 42.74/6.07 rel_s4 @ Y1 @ 42.74/6.07 Y2))) | 42.74/6.07 (leq @ n0 @ 42.74/6.07 '#sk66' @ Y2)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ ( 42.74/6.07 rel_s4 @ Y1 @ 42.74/6.07 Y2))) | 42.74/6.07 (leq @ '#sk66' @ 42.74/6.07 n2 @ Y2)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ ( 42.74/6.07 rel_s4 @ Y1 @ 42.74/6.07 Y2))) | 42.74/6.07 (leq @ Y0 @ 42.74/6.07 pv5 @ Y2)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ ( 42.74/6.07 rel_s4 @ Y1 @ 42.74/6.07 Y2))) | 42.74/6.07 (leq @ n0 @ Y0 @ 42.74/6.07 Y2)))))))))))))))))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl360])). 42.74/6.07 thf(zip_derived_cl376, plain, 42.74/6.07 ((~ (((!!) @ (^[Y0 : mu]: 42.74/6.07 (((exists_in_world @ Y0 @ '#sk70') => 42.74/6.07 (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk70' @ Y1))) | 42.74/6.07 (((~) @ (((((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y1 @ Y2))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 '#sk66' @ 42.74/6.07 Y0) @ 42.74/6.07 use @ Y2)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((( 42.74/6.07 (~) @ ( 42.74/6.07 rel_s4 @ 42.74/6.07 Y1 @ Y2))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 ( 42.74/6.07 a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 '#sk66' @ 42.74/6.07 Y0) @ 42.74/6.07 use @ Y2)))))))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ 42.74/6.07 Y1 @ Y2))) | 42.74/6.07 (leq @ n0 @ 42.74/6.07 '#sk66' @ Y2)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ 42.74/6.07 Y1 @ Y2))) | 42.74/6.07 (leq @ '#sk66' @ 42.74/6.07 n2 @ Y2)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ 42.74/6.07 Y1 @ Y2))) | 42.74/6.07 (leq @ Y0 @ pv5 @ 42.74/6.07 Y2)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ 42.74/6.07 Y1 @ Y2))) | 42.74/6.07 (leq @ n0 @ Y0 @ 42.74/6.07 Y2)))))))))))))))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl367])). 42.74/6.07 thf(zip_derived_cl378, plain, 42.74/6.07 ((~ (((exists_in_world @ '#sk72' @ '#sk70') => 42.74/6.07 (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk70' @ Y0))) | 42.74/6.07 (((~) @ (((((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ 42.74/6.07 Y0 @ Y1))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ 42.74/6.07 z_defuse @ 42.74/6.07 '#sk66' @ '#sk72') @ 42.74/6.07 use @ Y1)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ 42.74/6.07 Y0 @ Y1))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ 42.74/6.07 u_defuse @ 42.74/6.07 '#sk66' @ '#sk72') @ 42.74/6.07 use @ Y1)))))))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.07 (leq @ n0 @ '#sk66' @ Y1)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.07 (leq @ '#sk66' @ n2 @ Y1)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.07 (leq @ '#sk72' @ pv5 @ Y1)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.07 (leq @ n0 @ '#sk72' @ Y1))))))))))))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl376])). 42.74/6.07 thf(zip_derived_cl382, plain, 42.74/6.07 ((~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk70' @ Y0))) | 42.74/6.07 (((~) @ (((((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ 42.74/6.07 Y1))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ 42.74/6.07 z_defuse @ '#sk66' @ 42.74/6.07 '#sk72') @ 42.74/6.07 use @ Y1)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ 42.74/6.07 Y1))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ 42.74/6.07 u_defuse @ '#sk66' @ 42.74/6.07 '#sk72') @ 42.74/6.07 use @ Y1)))))))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.07 (leq @ n0 @ '#sk66' @ Y1)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.07 (leq @ '#sk66' @ n2 @ Y1)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.07 (leq @ '#sk72' @ pv5 @ Y1)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y1 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ Y0 @ Y1))) | 42.74/6.07 (leq @ n0 @ '#sk72' @ Y1))))))))))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl378])). 42.74/6.07 thf(zip_derived_cl384, plain, 42.74/6.07 ((~ (((((~) @ (rel_s4 @ '#sk70' @ '#sk74'))) | 42.74/6.07 (((~) @ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ '#sk66' @ 42.74/6.07 '#sk72') @ 42.74/6.07 use @ Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ '#sk66' @ 42.74/6.07 '#sk72') @ 42.74/6.07 use @ Y0)))))))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (leq @ 42.74/6.07 n0 @ '#sk66' @ Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (leq @ 42.74/6.07 '#sk66' @ n2 @ Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (leq @ 42.74/6.07 '#sk72' @ pv5 @ Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (leq @ 42.74/6.07 n0 @ '#sk72' @ Y0)))))))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl382])). 42.74/6.07 thf(zip_derived_cl388, plain, 42.74/6.07 (( (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ '#sk66' @ '#sk72') @ 42.74/6.07 use @ Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ '#sk66' @ '#sk72') @ 42.74/6.07 use @ Y0)))))))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl384])). 42.74/6.07 thf(zip_derived_cl394, plain, 42.74/6.07 ((~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ '#sk66' @ '#sk72') @ use @ Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ '#sk66' @ '#sk72') @ use @ 42.74/6.07 Y0)))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl388])). 42.74/6.07 thf(zip_derived_cl405, plain, 42.74/6.07 ((~ (((((~) @ (rel_s4 @ '#sk74' @ '#sk76'))) | (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ '#sk66' @ '#sk72') @ use @ '#sk76'))) 42.74/6.07 | ('#form60') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ '#sk66' @ '#sk72') @ use @ 42.74/6.07 Y0)))))))), 42.74/6.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl394])). 42.74/6.07 thf(zip_derived_cl416, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select3 @ z_defuse @ '#sk66' @ '#sk72') @ use @ '#sk76') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ '#sk66' @ '#sk72') @ use @ 42.74/6.07 Y0)))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl405])). 42.74/6.07 thf(zip_derived_cl423, plain, 42.74/6.07 ((~ (((((~) @ (rel_s4 @ '#sk74' @ '#sk78'))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ '#sk66' @ '#sk72') @ use @ '#sk78'))) 42.74/6.07 | ('#form60') 42.74/6.07 | ~ (qmltpeq @ (a_select3 @ z_defuse @ '#sk66' @ '#sk72') @ use @ 42.74/6.07 '#sk76'))), 42.74/6.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl416])). 42.74/6.07 thf(zip_derived_cl429, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select3 @ u_defuse @ '#sk66' @ '#sk72') @ use @ '#sk78') 42.74/6.07 | ~ (qmltpeq @ (a_select3 @ z_defuse @ '#sk66' @ '#sk72') @ use @ 42.74/6.07 '#sk76') 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl423])). 42.74/6.07 thf(zip_derived_cl22, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (leq @ n0 @ pv5 @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl54, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (leq @ n0 @ pv5 @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 42.74/6.07 thf(zip_derived_cl86, plain, 42.74/6.07 (![X2 : $i]: (~ (rel_s4 @ '#sk2' @ X2) | (leq @ n0 @ pv5 @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl54])). 42.74/6.07 thf(zip_derived_cl302, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use @ '#sk49') 42.74/6.07 | ('#form48'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl294])). 42.74/6.07 thf(zip_derived_cl274, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use @ '#sk41') 42.74/6.07 | ('#form40'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl266])). 42.74/6.07 thf(zip_derived_cl254, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use @ '#sk37') 42.74/6.07 | ('#form36'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl240])). 42.74/6.07 thf(zip_derived_cl225, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use @ '#sk31') 42.74/6.07 | ('#form30'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl213])). 42.74/6.07 thf(zip_derived_cl202, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use @ '#sk24') 42.74/6.07 | ('#form23'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl189])). 42.74/6.07 thf(zip_derived_cl178, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use @ '#sk18') 42.74/6.07 | ('#form17'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl165])). 42.74/6.07 thf(zip_derived_cl162, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use @ '#sk16') 42.74/6.07 | ('#form15'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl152])). 42.74/6.07 thf(zip_derived_cl157, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use @ '#sk14') 42.74/6.07 | ('#form13'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl147])). 42.74/6.07 thf(zip_derived_cl139, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use @ '#sk10') 42.74/6.07 | ('#form9'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl129])). 42.74/6.07 thf(zip_derived_cl121, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use @ '#sk6') 42.74/6.07 | ('#form5'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl111])). 42.74/6.07 thf(zip_derived_cl288, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use @ '#sk45') 42.74/6.07 | ('#form44'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl280])). 42.74/6.07 thf(zip_derived_cl370, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ '#sk4') 42.74/6.07 | ~ ('#form64') 42.74/6.07 | ~ ('#form60') 42.74/6.07 | ~ ('#form19' @ pv5 @ '#sk2') 42.74/6.07 | ~ ('#form54') 42.74/6.07 | ~ ('#form50') 42.74/6.07 | ~ ('#form46') 42.74/6.07 | ~ ('#form42') 42.74/6.07 | ~ ('#form38') 42.74/6.07 | ~ ('#form33') 42.74/6.07 | ~ ('#form27') 42.74/6.07 | ~ ('#form21') 42.74/6.07 | ~ ('#form15') 42.74/6.07 | ~ ('#form11') 42.74/6.07 | ~ ('#form7') 42.74/6.07 | ~ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ '#sk3') 42.74/6.07 | ~ ('#form5') 42.74/6.07 | ~ ('#form9') 42.74/6.07 | ~ ('#form13') 42.74/6.07 | ~ ('#form17') 42.74/6.07 | ~ ('#form23') 42.74/6.07 | ~ ('#form30') 42.74/6.07 | ~ ('#form36') 42.74/6.07 | ~ ('#form40') 42.74/6.07 | ~ ('#form44') 42.74/6.07 | ~ ('#form48') 42.74/6.07 | ~ ('#form52') 42.74/6.07 | ~ ('#form56') 42.74/6.07 | ~ ('#form58') 42.74/6.07 | ~ ('#form62') 42.74/6.07 | ~ ('#form67'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl364])). 42.74/6.07 thf(zip_derived_cl399, plain, 42.74/6.07 (( (rel_s4 @ '#sk71' @ '#sk75') | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl393])). 42.74/6.07 thf(zip_derived_cl14, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl46, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_mean_defuse @ n3) @ use @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 42.74/6.07 thf(zip_derived_cl78, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl46])). 42.74/6.07 thf(zip_derived_cl12, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_defuse @ n5) @ use @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl44, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_defuse @ n5) @ use @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 42.74/6.07 thf(zip_derived_cl76, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl44])). 42.74/6.07 thf(zip_derived_cl11, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_defuse @ n3) @ use @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl43, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_defuse @ n3) @ use @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 42.74/6.07 thf(zip_derived_cl75, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl43])). 42.74/6.07 thf(zip_derived_cl10, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl42, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ n1 @ n0) @ use @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 42.74/6.07 thf(zip_derived_cl74, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl42])). 42.74/6.07 thf(zip_derived_cl9, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ sigma_defuse @ n5) @ use @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl41, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.07 (a_select2 @ sigma_defuse @ n5) @ use @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 42.74/6.07 thf(zip_derived_cl73, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl41])). 42.74/6.07 thf(zip_derived_cl8, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ sigma_defuse @ n3) @ use @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl40, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.07 (a_select2 @ sigma_defuse @ n3) @ use @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 42.74/6.07 thf(zip_derived_cl72, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl40])). 42.74/6.07 thf(zip_derived_cl31, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl63, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ n0 @ n0) @ use @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl31])). 42.74/6.07 thf(zip_derived_cl95, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl63])). 42.74/6.07 thf(zip_derived_cl7, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ sigma_defuse @ n1) @ use @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl39, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.07 (a_select2 @ sigma_defuse @ n1) @ use @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 42.74/6.07 thf(zip_derived_cl71, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl39])). 42.74/6.07 thf(zip_derived_cl6, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ rho_defuse @ n2) @ use @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl38, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.07 (a_select2 @ rho_defuse @ n2) @ use @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 42.74/6.07 thf(zip_derived_cl70, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl38])). 42.74/6.07 thf(zip_derived_cl5, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ rho_defuse @ n0) @ use @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl37, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.07 (a_select2 @ rho_defuse @ n0) @ use @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 42.74/6.07 thf(zip_derived_cl69, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl37])). 42.74/6.07 thf(zip_derived_cl13, plain, 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y0))))))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])). 42.74/6.07 thf(zip_derived_cl45, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk2' @ X2))) | (qmltpeq @ 42.74/6.07 (a_select2 @ xinit_mean_defuse @ n1) @ use @ X2)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 42.74/6.07 thf(zip_derived_cl77, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use @ X2))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl45])). 42.74/6.07 thf(zip_derived_cl373, plain, 42.74/6.07 (( (exists_in_world @ '#sk69' @ '#sk65') | ('#form64'))), 42.74/6.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl366])). 42.74/6.07 thf(zip_derived_cl379, plain, 42.74/6.07 (( (rel_s4 @ '#sk65' @ '#sk71') | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl377])). 42.74/6.07 thf(zip_derived_cl404, plain, 42.74/6.07 (( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (leq @ n0 @ 42.74/6.07 '#sk73' @ Y0)))))) 42.74/6.07 | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl393])). 42.74/6.07 thf(zip_derived_cl414, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 ( (((((~) @ (rel_s4 @ '#sk75' @ X2))) | (leq @ n0 @ '#sk73' @ X2))) 42.74/6.07 | ('#form64'))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl404])). 42.74/6.07 thf(zip_derived_cl421, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk75' @ X2) | (leq @ n0 @ '#sk73' @ X2) | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl414])). 42.74/6.07 thf(zip_derived_cl357, plain, 42.74/6.07 (( (rel_s4 @ '#sk2' @ '#sk65') | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl349])). 42.74/6.07 thf(zip_derived_cl428, plain, 42.74/6.07 (( (rel_s4 @ '#sk74' @ '#sk78') 42.74/6.07 | ~ (qmltpeq @ (a_select3 @ z_defuse @ '#sk66' @ '#sk72') @ use @ 42.74/6.07 '#sk76') 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl423])). 42.74/6.07 thf(zip_derived_cl401, plain, 42.74/6.07 (( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (leq @ n0 @ 42.74/6.07 '#sk69' @ Y0)))))) 42.74/6.07 | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl393])). 42.74/6.07 thf(zip_derived_cl411, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 ( (((((~) @ (rel_s4 @ '#sk75' @ X2))) | (leq @ n0 @ '#sk69' @ X2))) 42.74/6.07 | ('#form64'))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl401])). 42.74/6.07 thf(zip_derived_cl418, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk75' @ X2) | (leq @ n0 @ '#sk69' @ X2) | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl411])). 42.74/6.07 thf(zip_derived_cl402, plain, 42.74/6.07 (( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk75' @ Y0))) | (leq @ '#sk69' @ 42.74/6.07 n2 @ Y0)))))) 42.74/6.07 | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl393])). 42.74/6.07 thf(zip_derived_cl412, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 ( (((((~) @ (rel_s4 @ '#sk75' @ X2))) | (leq @ '#sk69' @ n2 @ X2))) 42.74/6.07 | ('#form64'))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl402])). 42.74/6.07 thf(zip_derived_cl419, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk75' @ X2) | (leq @ '#sk69' @ n2 @ X2) | ('#form64'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl412])). 42.74/6.07 thf(zip_derived_cl228, plain, 42.74/6.07 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.07 ( (rel_s4 @ X10 @ ('#sk32' @ X8 @ X10)) 42.74/6.07 | ~ ('#form25' @ X4 @ X10) 42.74/6.07 | ~ ('#form19' @ X8 @ X10) 42.74/6.07 | ~ (rel_s4 @ X6 @ X10) 42.74/6.07 | ~ (exists_in_world @ X8 @ X6) 42.74/6.07 | ~ (rel_s4 @ X2 @ X6) 42.74/6.07 | ~ (exists_in_world @ X4 @ X2) 42.74/6.07 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.07 | ~ ('#form19' @ X4 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl216])). 42.74/6.07 thf(zip_derived_cl244, plain, 42.74/6.07 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.07 ( (((((~) @ (rel_s4 @ X10 @ X12))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ X12))) 42.74/6.07 | ~ ('#form19' @ X4 @ X10) 42.74/6.07 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | ~ (exists_in_world @ X4 @ X2) 42.74/6.07 | ~ (rel_s4 @ X2 @ X6) 42.74/6.07 | ~ (exists_in_world @ X8 @ X6) 42.74/6.07 | ~ (rel_s4 @ X6 @ X10) 42.74/6.07 | ~ ('#form19' @ X8 @ X10) 42.74/6.07 | ~ ('#form25' @ X4 @ X10) 42.74/6.07 | (rel_s4 @ X10 @ ('#sk32' @ X8 @ X10)))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl228])). 42.74/6.07 thf(zip_derived_cl257, plain, 42.74/6.07 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.07 (~ (rel_s4 @ X10 @ X12) 42.74/6.07 | (qmltpeq @ (a_select3 @ u_defuse @ X4 @ X8) @ use @ X12) 42.74/6.07 | (rel_s4 @ X10 @ ('#sk32' @ X8 @ X10)) 42.74/6.07 | ~ ('#form25' @ X4 @ X10) 42.74/6.07 | ~ ('#form19' @ X8 @ X10) 42.74/6.07 | ~ (rel_s4 @ X6 @ X10) 42.74/6.07 | ~ (exists_in_world @ X8 @ X6) 42.74/6.07 | ~ (rel_s4 @ X2 @ X6) 42.74/6.07 | ~ (exists_in_world @ X4 @ X2) 42.74/6.07 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | ~ ('#form19' @ X4 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl244])). 42.74/6.07 thf(zip_derived_cl181, plain, 42.74/6.07 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.07 (~ ('#form19' @ X8 @ X10) 42.74/6.07 | ~ (rel_s4 @ X6 @ X10) 42.74/6.07 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.07 Y0)))))) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ pv5 @ 42.74/6.07 Y0)))))) 42.74/6.07 | ~ (exists_in_world @ X8 @ X6) 42.74/6.07 | ~ (rel_s4 @ X2 @ X6) 42.74/6.07 | ~ (exists_in_world @ X4 @ X2) 42.74/6.07 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | ~ ('#form19' @ X4 @ X10))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl171, zip_derived_cl169])). 42.74/6.07 thf(zip_derived_cl193, plain, 42.74/6.07 (![X4 : mu, X10 : $i]: 42.74/6.07 ( ('#form25' @ X4 @ X10) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.07 Y0)))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl195, plain, 42.74/6.07 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.07 (~ ('#form25' @ X4 @ X10) 42.74/6.07 | ~ ('#form19' @ X4 @ X10) 42.74/6.07 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | ~ (exists_in_world @ X4 @ X2) 42.74/6.07 | ~ (rel_s4 @ X2 @ X6) 42.74/6.07 | ~ (exists_in_world @ X8 @ X6) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X8 @ pv5 @ 42.74/6.07 Y0)))))) 42.74/6.07 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))))) 42.74/6.07 | ~ (rel_s4 @ X6 @ X10) 42.74/6.07 | ~ ('#form19' @ X8 @ X10))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl181, zip_derived_cl193])). 42.74/6.07 thf(zip_derived_cl205, plain, 42.74/6.07 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.07 (~ (((((~) @ (rel_s4 @ X10 @ ('#sk29' @ X8 @ X10)))) | (leq @ X8 @ 42.74/6.07 pv5 @ ('#sk29' @ X8 @ X10)))) 42.74/6.07 | ~ ('#form19' @ X8 @ X10) 42.74/6.07 | ~ (rel_s4 @ X6 @ X10) 42.74/6.07 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))))) 42.74/6.07 | ~ (exists_in_world @ X8 @ X6) 42.74/6.07 | ~ (rel_s4 @ X2 @ X6) 42.74/6.07 | ~ (exists_in_world @ X4 @ X2) 42.74/6.07 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | ~ ('#form19' @ X4 @ X10) 42.74/6.07 | ~ ('#form25' @ X4 @ X10))), 42.74/6.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl195])). 42.74/6.07 thf(zip_derived_cl217, plain, 42.74/6.07 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.07 ( (rel_s4 @ X10 @ ('#sk29' @ X8 @ X10)) 42.74/6.07 | ~ ('#form25' @ X4 @ X10) 42.74/6.07 | ~ ('#form19' @ X4 @ X10) 42.74/6.07 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | ~ (exists_in_world @ X4 @ X2) 42.74/6.07 | ~ (rel_s4 @ X2 @ X6) 42.74/6.07 | ~ (exists_in_world @ X8 @ X6) 42.74/6.07 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))))) 42.74/6.07 | ~ (rel_s4 @ X6 @ X10) 42.74/6.07 | ~ ('#form19' @ X8 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl205])). 42.74/6.07 thf(zip_derived_cl230, plain, 42.74/6.07 (![X4 : mu, X8 : mu, X10 : $i]: 42.74/6.07 ( ('#form35' @ X4 @ X8 @ X10) 42.74/6.07 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl231, plain, 42.74/6.07 (![X4 : mu, X8 : mu, X10 : $i]: 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.07 | ('#form35' @ X4 @ X8 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl230])). 42.74/6.07 thf(zip_derived_cl246, plain, 42.74/6.07 (![X4 : mu, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.07 ( (((((~) @ (rel_s4 @ X10 @ X12))) | (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ X4 @ X8) @ use @ X12))) 42.74/6.07 | ('#form35' @ X4 @ X8 @ X10))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl231])). 42.74/6.07 thf(zip_derived_cl259, plain, 42.74/6.07 (![X4 : mu, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.07 (~ (rel_s4 @ X10 @ X12) 42.74/6.07 | (qmltpeq @ (a_select3 @ z_defuse @ X4 @ X8) @ use @ X12) 42.74/6.07 | ('#form35' @ X4 @ X8 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl246])). 42.74/6.07 thf(zip_derived_cl381, plain, 42.74/6.07 (( (exists_in_world @ '#sk72' @ '#sk70') | ('#form60'))), 42.74/6.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl378])). 42.74/6.07 thf(zip_derived_cl218, plain, 42.74/6.07 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.07 (~ (leq @ X8 @ pv5 @ ('#sk29' @ X8 @ X10)) 42.74/6.07 | ~ ('#form25' @ X4 @ X10) 42.74/6.07 | ~ ('#form19' @ X4 @ X10) 42.74/6.07 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | ~ (exists_in_world @ X4 @ X2) 42.74/6.07 | ~ (rel_s4 @ X2 @ X6) 42.74/6.07 | ~ (exists_in_world @ X8 @ X6) 42.74/6.07 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))))) 42.74/6.07 | ~ (rel_s4 @ X6 @ X10) 42.74/6.07 | ~ ('#form19' @ X8 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl205])). 42.74/6.07 thf(zip_derived_cl230, plain, 42.74/6.07 (![X4 : mu, X8 : mu, X10 : $i]: 42.74/6.07 ( ('#form35' @ X4 @ X8 @ X10) 42.74/6.07 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl234, plain, 42.74/6.07 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.07 (~ ('#form35' @ X4 @ X8 @ X10) 42.74/6.07 | ~ ('#form19' @ X8 @ X10) 42.74/6.07 | ~ (rel_s4 @ X6 @ X10) 42.74/6.07 | ~ (exists_in_world @ X8 @ X6) 42.74/6.07 | ~ (rel_s4 @ X2 @ X6) 42.74/6.07 | ~ (exists_in_world @ X4 @ X2) 42.74/6.07 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | ~ ('#form19' @ X4 @ X10) 42.74/6.07 | ~ ('#form25' @ X4 @ X10) 42.74/6.07 | ~ (leq @ X8 @ pv5 @ ('#sk29' @ X8 @ X10)))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl218, zip_derived_cl230])). 42.74/6.07 thf(zip_derived_cl415, plain, 42.74/6.07 (( (rel_s4 @ '#sk74' @ '#sk76') 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ '#sk66' @ '#sk72') @ use @ 42.74/6.07 Y0)))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl405])). 42.74/6.07 thf(zip_derived_cl422, plain, 42.74/6.07 ((~ (((((~) @ (rel_s4 @ '#sk74' @ '#sk78'))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ '#sk66' @ '#sk72') @ use @ '#sk78'))) 42.74/6.07 | ('#form60') 42.74/6.07 | (rel_s4 @ '#sk74' @ '#sk76'))), 42.74/6.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl415])). 42.74/6.07 thf(zip_derived_cl427, plain, 42.74/6.07 ((~ (qmltpeq @ (a_select3 @ u_defuse @ '#sk66' @ '#sk72') @ use @ '#sk78') 42.74/6.07 | (rel_s4 @ '#sk74' @ '#sk76') 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl422])). 42.74/6.07 thf(zip_derived_cl359, plain, 42.74/6.07 (( (exists_in_world @ '#sk66' @ '#sk61') | ('#form60'))), 42.74/6.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl351])). 42.74/6.07 thf(zip_derived_cl391, plain, 42.74/6.07 (( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (leq @ '#sk72' @ 42.74/6.07 pv5 @ Y0)))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl384])). 42.74/6.07 thf(zip_derived_cl397, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 ( (((((~) @ (rel_s4 @ '#sk74' @ X2))) | (leq @ '#sk72' @ pv5 @ X2))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl391])). 42.74/6.07 thf(zip_derived_cl408, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk74' @ X2) 42.74/6.07 | (leq @ '#sk72' @ pv5 @ X2) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl397])). 42.74/6.07 thf(zip_derived_cl387, plain, 42.74/6.07 (( (rel_s4 @ '#sk70' @ '#sk74') | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl384])). 42.74/6.07 thf(zip_derived_cl375, plain, 42.74/6.07 (( (rel_s4 @ '#sk61' @ '#sk70') | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl367])). 42.74/6.07 thf(zip_derived_cl392, plain, 42.74/6.07 (( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (leq @ n0 @ 42.74/6.07 '#sk72' @ Y0)))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl384])). 42.74/6.07 thf(zip_derived_cl398, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 ( (((((~) @ (rel_s4 @ '#sk74' @ X2))) | (leq @ n0 @ '#sk72' @ X2))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl392])). 42.74/6.07 thf(zip_derived_cl409, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk74' @ X2) | (leq @ n0 @ '#sk72' @ X2) | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl398])). 42.74/6.07 thf(zip_derived_cl169, plain, 42.74/6.07 (![X4 : mu, X10 : $i]: 42.74/6.07 ( ('#form19' @ X4 @ X10) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ n0 @ X4 @ 42.74/6.07 Y0)))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl170, plain, 42.74/6.07 (![X4 : mu, X10 : $i]: 42.74/6.07 (~ (((((~) @ (rel_s4 @ X10 @ ('#sk20' @ X4 @ X10)))) | (leq @ n0 @ 42.74/6.07 X4 @ ('#sk20' @ X4 @ X10)))) 42.74/6.07 | ('#form19' @ X4 @ X10))), 42.74/6.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl169])). 42.74/6.07 thf(zip_derived_cl182, plain, 42.74/6.07 (![X4 : mu, X10 : $i]: 42.74/6.07 ( (rel_s4 @ X10 @ ('#sk20' @ X4 @ X10)) | ('#form19' @ X4 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl170])). 42.74/6.07 thf(zip_derived_cl183, plain, 42.74/6.07 (![X4 : mu, X10 : $i]: 42.74/6.07 (~ (leq @ n0 @ X4 @ ('#sk20' @ X4 @ X10)) | ('#form19' @ X4 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl170])). 42.74/6.07 thf(zip_derived_cl193, plain, 42.74/6.07 (![X4 : mu, X10 : $i]: 42.74/6.07 ( ('#form25' @ X4 @ X10) 42.74/6.07 | ~ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | (leq @ X4 @ n2 @ 42.74/6.07 Y0)))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl194, plain, 42.74/6.07 (![X4 : mu, X10 : $i]: 42.74/6.07 (~ (((((~) @ (rel_s4 @ X10 @ ('#sk26' @ X4 @ X10)))) | (leq @ X4 @ 42.74/6.07 n2 @ ('#sk26' @ X4 @ X10)))) 42.74/6.07 | ('#form25' @ X4 @ X10))), 42.74/6.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl193])). 42.74/6.07 thf(zip_derived_cl206, plain, 42.74/6.07 (![X4 : mu, X10 : $i]: 42.74/6.07 ( (rel_s4 @ X10 @ ('#sk26' @ X4 @ X10)) | ('#form25' @ X4 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl194])). 42.74/6.07 thf(zip_derived_cl207, plain, 42.74/6.07 (![X4 : mu, X10 : $i]: 42.74/6.07 (~ (leq @ X4 @ n2 @ ('#sk26' @ X4 @ X10)) | ('#form25' @ X4 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl194])). 42.74/6.07 thf(zip_derived_cl426, plain, 42.74/6.07 (( (rel_s4 @ '#sk74' @ '#sk78') 42.74/6.07 | (rel_s4 @ '#sk74' @ '#sk76') 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl422])). 42.74/6.07 thf(zip_derived_cl342, plain, 42.74/6.07 (( (rel_s4 @ '#sk2' @ '#sk61') | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl335])). 42.74/6.07 thf(zip_derived_cl389, plain, 42.74/6.07 (( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (leq @ n0 @ 42.74/6.07 '#sk66' @ Y0)))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl384])). 42.74/6.07 thf(zip_derived_cl395, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 ( (((((~) @ (rel_s4 @ '#sk74' @ X2))) | (leq @ n0 @ '#sk66' @ X2))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl389])). 42.74/6.07 thf(zip_derived_cl406, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk74' @ X2) | (leq @ n0 @ '#sk66' @ X2) | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl395])). 42.74/6.07 thf(zip_derived_cl390, plain, 42.74/6.07 (( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ '#sk74' @ Y0))) | (leq @ '#sk66' @ 42.74/6.07 n2 @ Y0)))))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl384])). 42.74/6.07 thf(zip_derived_cl396, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 ( (((((~) @ (rel_s4 @ '#sk74' @ X2))) | (leq @ '#sk66' @ n2 @ X2))) 42.74/6.07 | ('#form60'))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl390])). 42.74/6.07 thf(zip_derived_cl407, plain, 42.74/6.07 (![X2 : $i]: 42.74/6.07 (~ (rel_s4 @ '#sk74' @ X2) | (leq @ '#sk66' @ n2 @ X2) | ('#form60'))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl396])). 42.74/6.07 thf(zip_derived_cl232, plain, 42.74/6.07 (![X4 : mu, X8 : mu, X10 : $i]: 42.74/6.07 ( (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ Y0)))))) 42.74/6.07 | ('#form35' @ X4 @ X8 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl230])). 42.74/6.07 thf(zip_derived_cl247, plain, 42.74/6.07 (![X4 : mu, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.07 ( (((((~) @ (rel_s4 @ X10 @ X12))) | (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ X12))) 42.74/6.07 | ('#form35' @ X4 @ X8 @ X10))), 42.74/6.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl232])). 42.74/6.07 thf(zip_derived_cl260, plain, 42.74/6.07 (![X4 : mu, X8 : mu, X10 : $i, X12 : $i]: 42.74/6.07 (~ (rel_s4 @ X10 @ X12) 42.74/6.07 | (qmltpeq @ (a_select3 @ u_defuse @ X4 @ X8) @ use @ X12) 42.74/6.07 | ('#form35' @ X4 @ X8 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl247])). 42.74/6.07 thf(zip_derived_cl217, plain, 42.74/6.07 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.07 ( (rel_s4 @ X10 @ ('#sk29' @ X8 @ X10)) 42.74/6.07 | ~ ('#form25' @ X4 @ X10) 42.74/6.07 | ~ ('#form19' @ X4 @ X10) 42.74/6.07 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | ~ (exists_in_world @ X4 @ X2) 42.74/6.07 | ~ (rel_s4 @ X2 @ X6) 42.74/6.07 | ~ (exists_in_world @ X8 @ X6) 42.74/6.07 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))))) 42.74/6.07 | ~ (rel_s4 @ X6 @ X10) 42.74/6.07 | ~ ('#form19' @ X8 @ X10))), 42.74/6.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl205])). 42.74/6.07 thf(zip_derived_cl230, plain, 42.74/6.07 (![X4 : mu, X8 : mu, X10 : $i]: 42.74/6.07 ( ('#form35' @ X4 @ X8 @ X10) 42.74/6.07 | ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ z_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))) | 42.74/6.07 (((~) @ (((!!) @ (^[Y0 : $i]: 42.74/6.07 (((((~) @ (rel_s4 @ X10 @ Y0))) | 42.74/6.07 (qmltpeq @ 42.74/6.07 (a_select3 @ u_defuse @ X4 @ X8) @ use @ 42.74/6.07 Y0)))))))))))), 42.74/6.07 define([status(thm)])). 42.74/6.07 thf(zip_derived_cl233, plain, 42.74/6.07 (![X2 : $i, X4 : mu, X6 : $i, X8 : mu, X10 : $i]: 42.74/6.07 (~ ('#form35' @ X4 @ X8 @ X10) 42.74/6.07 | ~ ('#form19' @ X8 @ X10) 42.74/6.07 | ~ (rel_s4 @ X6 @ X10) 42.74/6.07 | ~ (exists_in_world @ X8 @ X6) 42.74/6.07 | ~ (rel_s4 @ X2 @ X6) 42.74/6.07 | ~ (exists_in_world @ X4 @ X2) 42.74/6.07 | ~ (rel_s4 @ '#sk2' @ X2) 42.74/6.07 | ~ ('#form19' @ X4 @ X10) 42.74/6.07 | ~ ('#form25' @ X4 @ X10) 42.74/6.07 | (rel_s4 @ X10 @ ('#sk29' @ X8 @ X10)))), 42.74/6.07 inference('renaming', [status(thm)], 42.74/6.07 [zip_derived_cl217, zip_derived_cl230])). 42.74/6.07 thf(zip_derived_cl2447, plain, ($false), 42.74/6.07 inference('eprover', [status(thm)], 42.74/6.07 [zip_derived_cl435, zip_derived_cl434, zip_derived_cl256, 42.74/6.07 zip_derived_cl98, zip_derived_cl369, zip_derived_cl365, 42.74/6.07 zip_derived_cl432, zip_derived_cl258, zip_derived_cl255, 42.74/6.07 zip_derived_cl99, zip_derived_cl301, zip_derived_cl273, 42.74/6.07 zip_derived_cl253, zip_derived_cl224, zip_derived_cl201, 42.74/6.07 zip_derived_cl177, zip_derived_cl161, zip_derived_cl156, 42.74/6.07 zip_derived_cl138, zip_derived_cl120, zip_derived_cl287, 42.74/6.07 zip_derived_cl554, zip_derived_cl549, zip_derived_cl544, 42.74/6.07 zip_derived_cl539, zip_derived_cl559, zip_derived_cl534, 42.74/6.07 zip_derived_cl564, zip_derived_cl577, zip_derived_cl582, 42.74/6.07 zip_derived_cl587, zip_derived_cl592, zip_derived_cl597, 42.74/6.07 zip_derived_cl624, zip_derived_cl602, zip_derived_cl619, 42.74/6.07 zip_derived_cl368, zip_derived_cl433, zip_derived_cl385, 42.74/6.07 zip_derived_cl420, zip_derived_cl429, zip_derived_cl86, 42.74/6.07 zip_derived_cl302, zip_derived_cl274, zip_derived_cl254, 42.74/6.07 zip_derived_cl225, zip_derived_cl202, zip_derived_cl178, 42.74/6.07 zip_derived_cl162, zip_derived_cl157, zip_derived_cl139, 42.74/6.07 zip_derived_cl121, zip_derived_cl288, zip_derived_cl370, 42.74/6.07 zip_derived_cl399, zip_derived_cl78, zip_derived_cl76, 42.74/6.07 zip_derived_cl75, zip_derived_cl74, zip_derived_cl73, 42.74/6.07 zip_derived_cl72, zip_derived_cl95, zip_derived_cl71, 42.74/6.07 zip_derived_cl70, zip_derived_cl69, zip_derived_cl77, 42.74/6.07 zip_derived_cl373, zip_derived_cl379, zip_derived_cl421, 42.74/6.07 zip_derived_cl357, zip_derived_cl428, zip_derived_cl418, 42.74/6.07 zip_derived_cl419, zip_derived_cl257, zip_derived_cl259, 42.74/6.07 zip_derived_cl381, zip_derived_cl234, zip_derived_cl427, 42.74/6.07 zip_derived_cl359, zip_derived_cl408, zip_derived_cl387, 42.74/6.07 zip_derived_cl375, zip_derived_cl409, zip_derived_cl182, 42.74/6.07 zip_derived_cl183, zip_derived_cl206, zip_derived_cl207, 42.74/6.07 zip_derived_cl426, zip_derived_cl342, zip_derived_cl406, 42.74/6.07 zip_derived_cl407, zip_derived_cl260, zip_derived_cl233])). 42.74/6.07 42.74/6.07 % SZS output end Refutation 42.74/6.07 42.74/6.07 42.74/6.07 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 53s 42.74/6.07 % Terminating... 43.18/6.17 % Runner terminated. 43.21/6.19 % Zipperpin 1.5 exiting 43.21/6.19 EOF