0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.lQz7U4O4Oq 0.14/0.36 % Computer : n014.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 180 0.14/0.36 % DateTime : Thu Aug 29 13:47:24 EDT 2019 0.14/0.36 % CPUTime : 152.96/154.09 % Running portfolio for 180 s 152.96/154.09 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 152.96/154.09 % TempDir : /export/starexec/sandbox/tmp/tmp.lQz7U4O4Oq 152.96/154.09 % Recognized as monomorphic HO. 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/competitive.sh for 18 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.1.sh for 12 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.2.sh for 7 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.sh for 3 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.1.sh for 14 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.2.sh for 12 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/pragmatic.ll.e.sh for 16 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/pragmatic.bools.sh for 11 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/pragmatic.bools.1.sh for 8 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.e.sh for 6 152.96/154.09 % Running /export/starexec/sandbox/solver/bin/competitive.strong.sh for 16 152.96/154.09 % Solved by: competitive.strong.sh 152.96/154.09 % done 619 iterations in 2.316s 152.96/154.09 % hashcons stats for terms: size 4096, num 18175, sum length 31767, buckets: small 0, median 7, big 22 152.96/154.09 % proof state stats: {active 526, passive 3337, simpl 0} 152.96/154.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 152.96/154.09 % SZS output start Refutation 152.96/154.09 tff(quaternion_ds1_inuse_0009, conjecture, 152.96/154.09 (mvalid(mbox_s4(mimplies(mand(mbox_s4(qmltpeq(a_select2(rho_defuse,n0),use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse,n1), 152.96/154.09 use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse, 152.96/154.09 n2), 152.96/154.09 use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n1),use)), 152.96/154.09 mand(mbox_s4(qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand(mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse,n3), 152.96/154.09 use)), 152.96/154.09 mand(mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n0,n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n1,n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n2,n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n1),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n1),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 n0,pv5)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 pv5, 152.96/154.09 minus( 152.96/154.09 n999,n1))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[A:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[B:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,A)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,B)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(A,n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 B,pv5))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 A,B),use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 A,B),use))))))))), 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[C:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[D:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,C)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,D)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(C,n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 D, 152.96/154.09 minus( 152.96/154.09 pv5,n1)))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 C,D),use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 C,D),use))))))))))))))))))))))))))))))))))))))), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse,n0),use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse,n1), 152.96/154.09 use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse, 152.96/154.09 n2), 152.96/154.09 use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n1),use)), 152.96/154.09 mand(mbox_s4(qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand(mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse,n3), 152.96/154.09 use)), 152.96/154.09 mand(mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n0,n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n1,n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n2,n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n1),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n1),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 n0,pv5)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 pv5, 152.96/154.09 minus( 152.96/154.09 n999,n1))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[E:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[F:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,E)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,F)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(E,n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 F,pv5))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 E,F),use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 E,F),use))))))))), 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[G:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[H:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,G)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,H)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(G,n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 H, 152.96/154.09 minus( 152.96/154.09 pv5,n1)))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 G,H),use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 G,H),use)))))))))))))))))))))))))))))))))))))))))))). 152.96/154.09 tff(zf_stmt_0, negated_conjecture, 152.96/154.09 (~ 152.96/154.09 mvalid(mbox_s4(mimplies(mand(mbox_s4(qmltpeq(a_select2(rho_defuse,n0),use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse,n1), 152.96/154.09 use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2( 152.96/154.09 rho_defuse,n2),use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand(mbox_s4(qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse,n1), 152.96/154.09 use)), 152.96/154.09 mand(mbox_s4(qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand(mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand(mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n0,n0), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n1,n0), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n2,n0), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n1),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n1),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 n0,pv5)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 pv5, 152.96/154.09 minus( 152.96/154.09 n999,n1))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[A:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[B:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,A)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,B)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(A,n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 B,pv5))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 A,B),use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 A,B),use))))))))), 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[C:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[D:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,C)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,D)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(C,n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 D, 152.96/154.09 minus( 152.96/154.09 pv5,n1)))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 C,D),use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 C,D),use))))))))))))))))))))))))))))))))))))))), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse,n0),use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse,n1), 152.96/154.09 use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2( 152.96/154.09 rho_defuse,n2),use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand(mbox_s4(qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse,n1), 152.96/154.09 use)), 152.96/154.09 mand(mbox_s4(qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand(mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand(mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 sigma_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n0,n0), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n1,n0), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 n2,n0), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n1),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n0),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n1),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n2),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n3),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n4),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n5),use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 n0,pv5)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 pv5, 152.96/154.09 minus( 152.96/154.09 n999,n1))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[E:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[F:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,E)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,F)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(E,n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 F,pv5))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 E,F),use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 E,F),use))))))))), 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[G:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 ^[H:mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,G)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0,H)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(G,n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq( 152.96/154.09 H, 152.96/154.09 minus( 152.96/154.09 pv5,n1)))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 G,H),use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 G,H),use)))))))))))))))))))))))))))))))))))))))))))). 152.96/154.09 tff('0', plain, 152.96/154.09 ~ mvalid( 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse, n0), use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse, n1), use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse, n2), use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(sigma_defuse, n0), use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(sigma_defuse, n1), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4(qmltpeq(a_select2(sigma_defuse, n2), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4(qmltpeq(a_select2(sigma_defuse, n3), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n4), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n5), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select3(u_defuse, n0, n0), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select3(u_defuse, n1, n0), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select3(u_defuse, n2, n0), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select2(xinit_defuse, n3), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_defuse, n4), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_defuse, n5), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_mean_defuse, 152.96/154.09 n0), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n1), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n2), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n3), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n4), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n5), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n0), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n1), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n2), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n3), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n4), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n5), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0, 152.96/154.09 pv5)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(pv5, 152.96/154.09 minus( 152.96/154.09 n999, n1))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 (^[Y0 : mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 (^[Y1 : mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0, 152.96/154.09 Y0)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0, 152.96/154.09 Y1)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(Y0, 152.96/154.09 n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq(Y1, 152.96/154.09 pv5))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 Y0, Y1), 152.96/154.09 use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 Y0, Y1), 152.96/154.09 use))))))))))), 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 (^[Y0 : mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 (^[Y1 : mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0, 152.96/154.09 Y0)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0, 152.96/154.09 Y1)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(Y0, 152.96/154.09 n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq(Y1, 152.96/154.09 minus( 152.96/154.09 pv5, n1)))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 Y0, Y1), 152.96/154.09 use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 Y0, Y1), 152.96/154.09 use))))))))))))))))))))))))))))))))))))))))), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse, n0), use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse, n1), use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(rho_defuse, n2), use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(sigma_defuse, n0), use)), 152.96/154.09 mand(mbox_s4(qmltpeq(a_select2(sigma_defuse, n1), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4(qmltpeq(a_select2(sigma_defuse, n2), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4(qmltpeq(a_select2(sigma_defuse, n3), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n4), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n5), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select3(u_defuse, n0, n0), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select3(u_defuse, n1, n0), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select3(u_defuse, n2, n0), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq(a_select2(xinit_defuse, n3), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_defuse, n4), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_defuse, n5), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_mean_defuse, 152.96/154.09 n0), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n1), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n2), 152.96/154.09 use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n3), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n4), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n5), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n0), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n1), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n2), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n3), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n4), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n5), use)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0, 152.96/154.09 pv5)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(pv5, 152.96/154.09 minus( 152.96/154.09 n999, n1))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 (^[Y0 : mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 (^[Y1 : mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0, 152.96/154.09 Y0)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0, 152.96/154.09 Y1)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(Y0, 152.96/154.09 n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq(Y1, 152.96/154.09 pv5))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 Y0, Y1), 152.96/154.09 use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 Y0, Y1), 152.96/154.09 use))))))))))), 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 (^[Y0 : mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mforall_ind( 152.96/154.09 (^[Y1 : mu]: 152.96/154.09 mbox_s4( 152.96/154.09 mimplies( 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0, 152.96/154.09 Y0)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(n0, 152.96/154.09 Y1)), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 leq(Y0, 152.96/154.09 n2)), 152.96/154.09 mbox_s4( 152.96/154.09 leq(Y1, 152.96/154.09 minus( 152.96/154.09 pv5, n1)))))), 152.96/154.09 mand( 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 Y0, Y1), 152.96/154.09 use)), 152.96/154.09 mbox_s4( 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 Y0, Y1), 152.96/154.09 use)))))))))))))))))))))))))))))))))))))))))))), 152.96/154.09 inference('cnf', [status(esa)], [zf_stmt_0])). 152.96/154.09 tff(mand, axiom, 152.96/154.09 (mand = (^[Phi:($i > $o),Psi:($i > $o)]: mnot(mor(mnot(Phi),mnot(Psi)))))). 152.96/154.09 tff(zf_stmt_1, axiom, 152.96/154.09 (mand = (^[Y0 : $i > $o,Y1 : $i > $o]: mnot(mor(mnot(Y0), mnot(Y1)))))). 152.96/154.09 tff('1', plain, 152.96/154.09 mand = 152.96/154.09 (^[V_1:($i > $o),V_2:($i > $o),V_3]: (~((~V_1(V_3)) | (~V_2(V_3))))), 152.96/154.09 define([status(thm)])). 152.96/154.09 tff(mimplies, axiom, 152.96/154.09 (mimplies = (^[Phi:($i > $o),Psi:($i > $o)]: mor(mnot(Phi),Psi)))). 152.96/154.09 tff(zf_stmt_2, axiom, 152.96/154.09 (mimplies = (^[Y0 : $i > $o,Y1 : $i > $o]: mor(mnot(Y0), Y1)))). 152.96/154.09 tff('2', plain, 152.96/154.09 mimplies = (^[V_1:($i > $o),V_2:($i > $o),V_3]: ((~V_1(V_3)) | V_2(V_3))), 152.96/154.09 define([status(thm)])). 152.96/154.09 tff(mforall_ind, axiom, 152.96/154.09 (mforall_ind = 152.96/154.09 (^[Phi:((mu * $i) > $o),W]: (![X:mu]: (exists_in_world(X,W) => Phi(X,W)))))). 152.96/154.09 tff(zf_stmt_3, axiom, 152.96/154.09 (mforall_ind = 152.96/154.09 (^[Y0 : (mu * $i) > $o,Y1 : $i]: 152.96/154.09 (!! (^[Y2 : mu]: (exists_in_world(Y2, Y1) => Y0(Y2, Y1))))))). 152.96/154.09 tff('3', plain, 152.96/154.09 mforall_ind = 152.96/154.09 (^[V_1:((mu * $i) > $o),V_2]: 152.96/154.09 (![X2:mu]: (exists_in_world(X2,V_2) => V_1(X2,V_2)))), 152.96/154.09 define([status(thm)])). 152.96/154.09 tff(mvalid, axiom, (mvalid = (^[Phi:($i > $o)]: (![W]: Phi(W))))). 152.96/154.09 tff(zf_stmt_4, axiom, 152.96/154.09 (mvalid = (^[Y0 : $i > $o]: (!! (^[Y1 : $i]: Y0(Y1)))))). 152.96/154.09 tff('4', plain, mvalid = (^[V_1:($i > $o)]: (![X2]: V_1(X2))), 152.96/154.09 define([status(thm)])). 152.96/154.09 tff(mbox_s4, axiom, 152.96/154.09 (mbox_s4 = (^[Phi:($i > $o),W]: (![V]: ((~rel_s4(W,V)) | Phi(V)))))). 152.96/154.09 tff(zf_stmt_5, axiom, 152.96/154.09 (mbox_s4 = 152.96/154.09 (^[Y0 : $i > $o,Y1 : $i]: (!! (^[Y2 : $i]: ((~ rel_s4(Y1, Y2)) | Y0(Y2))))))). 152.96/154.09 tff('5', plain, 152.96/154.09 mbox_s4 = (^[V_1:($i > $o),V_2]: (![X2]: ((~rel_s4(V_2,X2)) | V_1(X2)))), 152.96/154.09 define([status(thm)])). 152.96/154.09 tff('6', plain, 152.96/154.09 ~ (!! 152.96/154.09 (^[Y0 : $i]: 152.96/154.09 (!! 152.96/154.09 (^[Y1 : $i]: 152.96/154.09 ((~ rel_s4(Y0, Y1)) | 152.96/154.09 (((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(rho_defuse, n0), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(rho_defuse, n1), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(rho_defuse, n2), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n0), use, 152.96/154.09 Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n1), use, 152.96/154.09 Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n2), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n3), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n4), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n5), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select3(u_defuse, n0, n0), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select3(u_defuse, n1, n0), use, 152.96/154.09 Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select3(u_defuse, n2, n0), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_defuse, n3), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_defuse, n4), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_defuse, n5), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_mean_defuse, 152.96/154.09 n0), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n1), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n2), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n3), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n4), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n5), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n0), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n1), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n2), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n3), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n4), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n5), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 leq(n0, pv5, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 leq(pv5, 152.96/154.09 minus(n999, n1), 152.96/154.09 Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 (!! 152.96/154.09 (^[Y3 : mu]: 152.96/154.09 (exists_in_world( 152.96/154.09 Y3, Y2) => 152.96/154.09 (!! 152.96/154.09 (^[Y4 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y2, Y4)) | 152.96/154.09 (!! 152.96/154.09 (^[Y5 : mu]: 152.96/154.09 (exists_in_world( 152.96/154.09 Y5, Y4) => 152.96/154.09 (!! 152.96/154.09 (^[Y6 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y4, Y6)) | 152.96/154.09 (( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(n0, 152.96/154.09 Y3, Y7))))) | 152.96/154.09 ( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(n0, 152.96/154.09 Y5, Y7))))) | 152.96/154.09 ( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(Y3, 152.96/154.09 n2, Y7))))) | 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(Y5, 152.96/154.09 pv5, Y7)))))))) | 152.96/154.09 (~ 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 Y3, Y5), 152.96/154.09 use, Y7))))) | 152.96/154.09 (~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 Y3, Y5), 152.96/154.09 use, Y7)))))))))))))))))))))))) | 152.96/154.09 (~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 (!! 152.96/154.09 (^[Y3 : mu]: 152.96/154.09 (exists_in_world( 152.96/154.09 Y3, Y2) => 152.96/154.09 (!! 152.96/154.09 (^[Y4 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y2, Y4)) | 152.96/154.09 (!! 152.96/154.09 (^[Y5 : mu]: 152.96/154.09 (exists_in_world( 152.96/154.09 Y5, Y4) => 152.96/154.09 (!! 152.96/154.09 (^[Y6 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y4, Y6)) | 152.96/154.09 (( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(n0, 152.96/154.09 Y3, Y7))))) | 152.96/154.09 ( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(n0, 152.96/154.09 Y5, Y7))))) | 152.96/154.09 ( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(Y3, 152.96/154.09 n2, Y7))))) | 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(Y5, 152.96/154.09 minus( 152.96/154.09 pv5, n1), 152.96/154.09 Y7)))))))) | 152.96/154.09 (~ 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 Y3, Y5), 152.96/154.09 use, Y7))))) | 152.96/154.09 (~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 Y3, Y5), 152.96/154.09 use, Y7)))))))))))))))))))))))))))))))))))))))))))))))))))))) | 152.96/154.09 (~ 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(rho_defuse, n0), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(rho_defuse, n1), use, 152.96/154.09 Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(rho_defuse, n2), use, 152.96/154.09 Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n0), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n1), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n2), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq(a_select2(sigma_defuse, n3), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(sigma_defuse, n4), use, 152.96/154.09 Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(sigma_defuse, n5), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select3(u_defuse, n0, n0), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select3(u_defuse, n1, n0), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select3(u_defuse, n2, n0), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_defuse, n3), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_defuse, n4), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2(xinit_defuse, n5), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n0), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n1), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, n2), 152.96/154.09 use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n3), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n4), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_mean_defuse, 152.96/154.09 n5), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n0), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n1), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n2), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n3), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n4), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ rel_s4(Y1, Y2)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select2( 152.96/154.09 xinit_noise_defuse, 152.96/154.09 n5), use, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ 152.96/154.09 rel_s4(Y1, 152.96/154.09 Y2)) | 152.96/154.09 leq(n0, pv5, Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ 152.96/154.09 rel_s4(Y1, 152.96/154.09 Y2)) | 152.96/154.09 leq(pv5, 152.96/154.09 minus(n999, 152.96/154.09 n1), Y2))))) | 152.96/154.09 ((~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ 152.96/154.09 rel_s4(Y1, 152.96/154.09 Y2)) | 152.96/154.09 (!! 152.96/154.09 (^[Y3 : mu]: 152.96/154.09 (exists_in_world( 152.96/154.09 Y3, Y2) => 152.96/154.09 (!! 152.96/154.09 (^[Y4 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y2, Y4)) | 152.96/154.09 (!! 152.96/154.09 (^[Y5 : mu]: 152.96/154.09 (exists_in_world( 152.96/154.09 Y5, Y4) => 152.96/154.09 (!! 152.96/154.09 (^[Y6 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y4, Y6)) | 152.96/154.09 (( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(n0, 152.96/154.09 Y3, Y7))))) | 152.96/154.09 ( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(n0, 152.96/154.09 Y5, Y7))))) | 152.96/154.09 ( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(Y3, 152.96/154.09 n2, Y7))))) | 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(Y5, 152.96/154.09 pv5, Y7)))))))) | 152.96/154.09 (~ 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 u_defuse, 152.96/154.09 Y3, Y5), 152.96/154.09 use, Y7))))) | 152.96/154.09 (~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 qmltpeq( 152.96/154.09 a_select3( 152.96/154.09 z_defuse, 152.96/154.09 Y3, Y5), 152.96/154.09 use, Y7)))))))))))))))))))))))) | 152.96/154.09 (~ 152.96/154.09 (!! 152.96/154.09 (^[Y2 : $i]: 152.96/154.09 ((~ 152.96/154.09 rel_s4(Y1, 152.96/154.09 Y2)) | 152.96/154.09 (!! 152.96/154.09 (^[Y3 : mu]: 152.96/154.09 (exists_in_world( 152.96/154.09 Y3, Y2) => 152.96/154.09 (!! 152.96/154.09 (^[Y4 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y2, Y4)) | 152.96/154.09 (!! 152.96/154.09 (^[Y5 : mu]: 152.96/154.09 (exists_in_world( 152.96/154.09 Y5, Y4) => 152.96/154.09 (!! 152.96/154.09 (^[Y6 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y4, Y6)) | 152.96/154.09 (( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(n0, 152.96/154.09 Y3, Y7))))) | 152.96/154.09 ( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(n0, 152.96/154.09 Y5, Y7))))) | 152.96/154.09 ( 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.09 (^[Y7 : $i]: 152.96/154.09 (( 152.96/154.09 ~ 152.96/154.09 rel_s4( 152.96/154.09 Y6, Y7)) | 152.96/154.09 leq(Y3, 152.96/154.09 n2, Y7))))) | 152.96/154.09 ( 152.96/154.09 ~ 152.96/154.09 (!! 152.96/154.10 (^[Y7 : $i]: 152.96/154.10 (( 152.96/154.10 ~ 152.96/154.10 rel_s4( 152.96/154.10 Y6, Y7)) | 152.96/154.10 leq(Y5, 152.96/154.10 minus( 152.96/154.10 pv5, n1), 152.96/154.10 Y7)))))))) | 152.96/154.10 (~ 152.96/154.10 (( 152.96/154.10 ~ 152.96/154.10 (!! 152.96/154.10 (^[Y7 : $i]: 152.96/154.10 (( 152.96/154.10 ~ 152.96/154.10 rel_s4( 152.96/154.10 Y6, Y7)) | 152.96/154.10 qmltpeq( 152.96/154.10 a_select3( 152.96/154.10 u_defuse, 152.96/154.10 Y3, Y5), 152.96/154.10 use, Y7))))) | 152.96/154.10 (~ 152.96/154.10 (!! 152.96/154.10 (^[Y7 : $i]: 152.96/154.10 (( 152.96/154.10 ~ 152.96/154.10 rel_s4( 152.96/154.10 Y6, Y7)) | 152.96/154.10 qmltpeq( 152.96/154.10 a_select3( 152.96/154.10 z_defuse, 152.96/154.10 Y3, Y5), 152.96/154.10 use, Y7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 152.96/154.10 inference('rw', [status(thm)], ['0', '1', '2', '3', '4', '5'])). 152.96/154.10 tff('7', plain, ~ (!! (^[Y0 : $i]: (!! (^[Y1 : $i]: $true)))), 152.96/154.10 inference('simplify boolean subterms', [status(thm)], ['6'])). 152.96/154.10 tff('8', plain, $false, inference('cnf_otf', [status(thm)], ['7'])). 152.96/154.10 152.96/154.10 % SZS output end Refutation 152.96/154.10 % Zipperpin 1.5 exiting 152.96/154.10 EOF