%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV751-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:18 AM UTC 2026 % Result : Unsatisfiable 2.24s 2.41s % Output : Proof 2.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV751-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 21:10:32 EDT 2026 % 0.18/0.35 % CPUTime : % 0.39/0.67 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.24/2.41 % SZS status Unsatisfiable % 2.24/2.41 % SZS output start Proof % 2.24/2.44 ( % 2.24/2.44 (declare-sort $$unsorted 0) % 2.24/2.44 (declare-const tptp.v_NA $$unsorted) % 2.24/2.44 (declare-const tptp.v_B $$unsorted) % 2.24/2.44 (declare-const tptp.v_K $$unsorted) % 2.24/2.44 (declare-const tptp.v_X $$unsorted) % 2.24/2.44 (declare-const tptp.v_evs $$unsorted) % 2.24/2.44 (declare-const tptp.c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_NS__Shared__Mirabelle_Ons__shared $$unsorted) % 2.24/2.44 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.v_sko__List__Xlists__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.v_sko__List__Xlists__Xcases__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Message_OsymKeys $$unsorted) % 2.24/2.44 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.class_HOL_Ouminus (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.v_A $$unsorted) % 2.24/2.44 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Public_Okeymode_OEncryption $$unsorted) % 2.24/2.44 (declare-const tptp.c_Message_Omsg_OKey $$unsorted) % 2.24/2.44 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Public_OpublicKey (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Public_Okeymode_OSignature $$unsorted) % 2.24/2.44 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.v_x $$unsorted) % 2.24/2.44 (declare-const tptp.c_Event_Obad $$unsorted) % 2.24/2.44 (declare-const tptp.c_Event_OinitState (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.v_K_H $$unsorted) % 2.24/2.44 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.tc_bool $$unsorted) % 2.24/2.44 (declare-const tptp.tc_nat $$unsorted) % 2.24/2.44 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.c_List_Olists (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 2.24/2.44 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.t_b $$unsorted) % 2.24/2.44 (declare-const tptp.v_sko__List__Xlists__Xinduct__2 (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.tc_Message_Omsg $$unsorted) % 2.24/2.44 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.v_sko__List__Xlists__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 2.24/2.44 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_List_Osko__List__Xin__lists__conv__set__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Message_Oagent_OFriend (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Message_OkeysFor (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Event_Oused (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.c_Message_OinvKey $$unsorted) % 2.24/2.44 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.t_a $$unsorted) % 2.24/2.44 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.v_sko__List__Xlists__Xcases__2 (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_NS__Shared__Mirabelle_Ons__sharedp (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.v_sko__List__Xlists__Xinducts__2 (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.tc_Event_Oevent $$unsorted) % 2.24/2.44 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.c_Event_Oevent_ONotes (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 2.24/2.44 (declare-const tptp.c_Public_OshrK $$unsorted) % 2.24/2.44 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.tc_Message_Oagent $$unsorted) % 2.24/2.44 (declare-const tptp.c_Message_Omsg_OHash (-> $$unsorted $$unsorted)) % 2.24/2.44 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 2.24/2.44 (define @t1 () (@var "V_nat_H" $$unsorted)) % 2.24/2.44 (define @t2 () (tptp.c_Message_Oagent_OFriend @t1)) % 2.24/2.44 (define @t3 () (@list @t1)) % 2.24/2.44 (define @t4 () (@var "V_nat" $$unsorted)) % 2.24/2.44 (define @t5 () (tptp.c_Message_Oagent_OFriend @t4)) % 2.24/2.44 (define @t6 () (@list @t4)) % 2.24/2.44 (define @t7 () (= @t4 @t1)) % 2.24/2.44 (define @t8 () (@list @t4 @t1)) % 2.24/2.44 (define @t9 () (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) % 2.24/2.44 (define @t10 () (@var "V_evs" $$unsorted)) % 2.24/2.44 (define @t11 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t10)) % 2.24/2.44 (define @t12 () (tptp.c_Message_Oparts @t11)) % 2.24/2.44 (define @t13 () (tptp.c_Orderings_Obot__class_Obot @t9)) % 2.24/2.44 (define @t14 () (@var "V_X" $$unsorted)) % 2.24/2.44 (define @t15 () (tptp.c_Message_Oparts (tptp.c_Set_Oinsert @t14 @t13 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t16 () (tptp.c_Set_Oinsert @t14 @t11 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t17 () (@list @t14 @t10)) % 2.24/2.44 (define @t18 () (tptp.c_Event_Oused @t10)) % 2.24/2.44 (define @t19 () (tptp.hBOOL (tptp.c_in @t14 @t18 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t20 () (@var "V_A" $$unsorted)) % 2.24/2.44 (define @t21 () (tptp.c_Event_Oknows @t20 @t10)) % 2.24/2.44 (define @t22 () (tptp.c_Set_Oinsert @t14 @t21 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t23 () (@list @t14 @t20 @t10)) % 2.24/2.44 (define @t24 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool))) % 2.24/2.44 (define @t25 () (tptp.c_Public_OpublicKey tptp.c_Public_Okeymode_OSignature)) % 2.24/2.44 (define @t26 () (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey (tptp.c_Set_Oimage @t25 @t24 tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t27 () (tptp.c_Public_OpublicKey tptp.c_Public_Okeymode_OEncryption)) % 2.24/2.44 (define @t28 () (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey (tptp.c_Set_Oimage @t27 @t24 tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t29 () (@var "V_i" $$unsorted)) % 2.24/2.44 (define @t30 () (tptp.c_Message_Oagent_OFriend @t29)) % 2.24/2.44 (define @t31 () (tptp.c_Message_Oparts @t13)) % 2.24/2.44 (define @t32 () (@list @t14)) % 2.24/2.44 (define @t33 () (@var "T_a" $$unsorted)) % 2.24/2.44 (define @t34 () (tptp.c_List_Olist_ONil @t33)) % 2.24/2.44 (define @t35 () (@var "V_xs" $$unsorted)) % 2.24/2.44 (define @t36 () (= @t35 @t34)) % 2.24/2.44 (define @t37 () (tptp.tc_fun @t33 tptp.tc_bool)) % 2.24/2.44 (define @t38 () (tptp.c_Orderings_Obot__class_Obot @t37)) % 2.24/2.44 (define @t39 () (tptp.c_List_Oset @t35 @t33)) % 2.24/2.44 (define @t40 () (tptp.c_List_Oset @t34 @t33)) % 2.24/2.44 (define @t41 () (@list @t33)) % 2.24/2.44 (define @t42 () (@var "V_x" $$unsorted)) % 2.24/2.44 (define @t43 () (tptp.c_Set_Oinsert @t42 @t38 @t33)) % 2.24/2.44 (define @t44 () (@list @t42 @t33)) % 2.24/2.44 (define @t45 () (@var "V_a" $$unsorted)) % 2.24/2.44 (define @t46 () (tptp.c_Set_Oinsert @t45 @t38 @t33)) % 2.24/2.44 (define @t47 () (@var "V_b" $$unsorted)) % 2.24/2.44 (define @t48 () (@var "V_xa" $$unsorted)) % 2.24/2.44 (define @t49 () (@list @t42 @t48 @t33)) % 2.24/2.44 (define @t50 () (= @t20 @t38)) % 2.24/2.44 (define @t51 () (tptp.c_HOL_Ouminus__class_Ouminus @t20 @t37)) % 2.24/2.44 (define @t52 () (@list @t20 @t33)) % 2.24/2.44 (define @t53 () (@var "V_H" $$unsorted)) % 2.24/2.44 (define @t54 () (tptp.c_Message_Oparts @t53)) % 2.24/2.44 (define @t55 () (tptp.c_Set_Oinsert @t14 @t53 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t56 () (tptp.c_Message_Oparts @t55)) % 2.24/2.44 (define @t57 () (@list @t14 @t53)) % 2.24/2.44 (define @t58 () (@var "T_b" $$unsorted)) % 2.24/2.44 (define @t59 () (tptp.tc_fun @t58 tptp.tc_bool)) % 2.24/2.44 (define @t60 () (tptp.c_Orderings_Obot__class_Obot @t59)) % 2.24/2.44 (define @t61 () (= @t20 @t60)) % 2.24/2.44 (define @t62 () (@var "V_f" $$unsorted)) % 2.24/2.44 (define @t63 () (tptp.c_Set_Oimage @t62 @t20 @t58 @t33)) % 2.24/2.44 (define @t64 () (tptp.c_Orderings_Otop__class_Otop @t37)) % 2.24/2.44 (define @t65 () (tptp.c_HOL_Ouminus__class_Ouminus @t38 @t37)) % 2.24/2.44 (define @t66 () (tptp.c_Orderings_Otop__class_Otop @t33)) % 2.24/2.44 (define @t67 () (tptp.c_Orderings_Obot__class_Obot @t33)) % 2.24/2.44 (define @t68 () (not (tptp.class_Lattices_Oboolean__algebra @t33))) % 2.24/2.44 (define @t69 () (tptp.c_Set_Oinsert @t45 @t20 @t33)) % 2.24/2.44 (define @t70 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 2.24/2.44 (define @t71 () (@var "V_d" $$unsorted)) % 2.24/2.44 (define @t72 () (= @t47 @t71)) % 2.24/2.44 (define @t73 () (@var "V_c" $$unsorted)) % 2.24/2.44 (define @t74 () (= @t47 @t73)) % 2.24/2.44 (define @t75 () (tptp.c_Set_Oinsert @t47 @t38 @t33)) % 2.24/2.44 (define @t76 () (not (= (tptp.c_Set_Oinsert @t45 @t75 @t33) (tptp.c_Set_Oinsert @t73 (tptp.c_Set_Oinsert @t71 @t38 @t33) @t33)))) % 2.24/2.44 (define @t77 () (@list @t45 @t47 @t33 @t73 @t71)) % 2.24/2.44 (define @t78 () (= @t45 @t71)) % 2.24/2.44 (define @t79 () (= @t45 @t73)) % 2.24/2.44 (define @t80 () (@list @t33 @t42)) % 2.24/2.44 (define @t81 () (@var "V_B" $$unsorted)) % 2.24/2.44 (define @t82 () (@list @t33 @t81)) % 2.24/2.44 (define @t83 () (not (tptp.class_Lattices_Obounded__lattice @t33))) % 2.24/2.44 (define @t84 () (@list @t45 @t20 @t33)) % 2.24/2.44 (define @t85 () (@list @t33 @t20)) % 2.24/2.44 (define @t86 () (tptp.tc_fun tptp.t_a @t58)) % 2.24/2.44 (define @t87 () (@list @t58)) % 2.24/2.44 (define @t88 () (@var "V_Y" $$unsorted)) % 2.24/2.44 (define @t89 () (tptp.c_Set_Oinsert @t14 (tptp.c_Set_Oinsert @t88 @t53 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t90 () (tptp.c_Message_Oparts @t89)) % 2.24/2.44 (define @t91 () (@list @t14 @t88 @t53)) % 2.24/2.44 (define @t92 () (tptp.c_Set_Oimage @t62 @t60 @t58 @t33)) % 2.24/2.44 (define @t93 () (= @t45 @t47)) % 2.24/2.44 (define @t94 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t81 @t37)) % 2.24/2.44 (define @t95 () (not (= @t94 @t38))) % 2.24/2.44 (define @t96 () (@list @t20 @t81 @t33)) % 2.24/2.44 (define @t97 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t81 @t33) @t67))) % 2.24/2.44 (define @t98 () (@list @t33 @t20 @t81)) % 2.24/2.44 (define @t99 () (not (tptp.hBOOL (tptp.c_in @t42 @t38 @t33)))) % 2.24/2.44 (define @t100 () (@var "V_P" $$unsorted)) % 2.24/2.44 (define @t101 () (tptp.hBOOL (tptp.hAPP @t100 @t42))) % 2.24/2.44 (define @t102 () (@list @t100 @t42 @t33)) % 2.24/2.44 (define @t103 () (not @t101)) % 2.24/2.44 (define @t104 () (tptp.c_Message_Oanalz @t53)) % 2.24/2.44 (define @t105 () (tptp.c_Message_Osynth @t104)) % 2.24/2.44 (define @t106 () (tptp.hBOOL (tptp.c_in @t14 @t105 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t107 () (not @t106)) % 2.24/2.44 (define @t108 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t105 @t54 @t9)) % 2.24/2.44 (define @t109 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t18 @t9)) % 2.24/2.44 (define @t110 () (tptp.c_Event_Oevent_OSays @t20 @t81 @t14)) % 2.24/2.44 (define @t111 () (tptp.c_List_Olist_OCons @t110 @t10 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t112 () (@list @t20 @t81 @t14 @t10)) % 2.24/2.44 (define @t113 () (tptp.c_Event_Oevent_ONotes @t20 @t14)) % 2.24/2.44 (define @t114 () (tptp.c_List_Olist_OCons @t113 @t10 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t115 () (@list @t20 @t14 @t10)) % 2.24/2.44 (define @t116 () (tptp.c_Set_Oimage tptp.c_Public_OshrK @t24 tptp.tc_Message_Oagent tptp.tc_nat)) % 2.24/2.44 (define @t117 () (@var "V_keymode" $$unsorted)) % 2.24/2.44 (define @t118 () (tptp.c_Event_OinitState tptp.c_Message_Oagent_OSpy)) % 2.24/2.44 (define @t119 () (tptp.hBOOL (tptp.hAPP @t94 @t42))) % 2.24/2.44 (define @t120 () (tptp.hBOOL (tptp.hAPP @t20 @t42))) % 2.24/2.44 (define @t121 () (tptp.hBOOL (tptp.hAPP @t81 @t42))) % 2.24/2.44 (define @t122 () (tptp.c_Set_Oinsert @t45 @t81 @t33)) % 2.24/2.44 (define @t123 () (@var "V_G" $$unsorted)) % 2.24/2.44 (define @t124 () (tptp.c_Message_Oparts @t123)) % 2.24/2.44 (define @t125 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t124 @t54 @t9)) % 2.24/2.44 (define @t126 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t123 @t53 @t9)) % 2.24/2.44 (define @t127 () (tptp.c_Message_Oparts @t126)) % 2.24/2.44 (define @t128 () (@list @t123 @t53)) % 2.24/2.44 (define @t129 () (not (tptp.c_lessequals @t123 @t53 @t9))) % 2.24/2.44 (define @t130 () (tptp.c_Message_Osynth @t53)) % 2.24/2.44 (define @t131 () (tptp.c_Message_Osynth @t123)) % 2.24/2.44 (define @t132 () (tptp.c_lessequals @t131 @t130 @t9)) % 2.24/2.44 (define @t133 () (tptp.c_lessequals @t81 @t20 @t37)) % 2.24/2.44 (define @t134 () (not @t133)) % 2.24/2.44 (define @t135 () (tptp.c_HOL_Ouminus__class_Ouminus @t81 @t37)) % 2.24/2.44 (define @t136 () (tptp.c_lessequals @t51 @t135 @t37)) % 2.24/2.44 (define @t137 () (@list @t20 @t33 @t81)) % 2.24/2.44 (define @t138 () (@list @t81 @t20 @t33)) % 2.24/2.44 (define @t139 () (tptp.c_lessequals @t20 @t81 @t37)) % 2.24/2.44 (define @t140 () (not @t139)) % 2.24/2.44 (define @t141 () (tptp.c_lessequals @t45 @t47 @t33)) % 2.24/2.44 (define @t142 () (tptp.c_HOL_Ouminus__class_Ouminus @t45 @t33)) % 2.24/2.44 (define @t143 () (tptp.c_HOL_Ouminus__class_Ouminus @t47 @t33)) % 2.24/2.44 (define @t144 () (tptp.c_lessequals @t143 @t142 @t33)) % 2.24/2.44 (define @t145 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t33))) % 2.24/2.44 (define @t146 () (@list @t33 @t47 @t45)) % 2.24/2.44 (define @t147 () (@list @t33 @t45 @t47)) % 2.24/2.44 (define @t148 () (@var "V_C" $$unsorted)) % 2.24/2.44 (define @t149 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t81 @t148 @t37)) % 2.24/2.44 (define @t150 () (tptp.c_Set_Oinsert @t47 @t81 @t33)) % 2.24/2.44 (define @t151 () (tptp.c_Set_Oinsert @t42 @t20 @t33)) % 2.24/2.44 (define @t152 () (tptp.c_lessequals @t151 @t81 @t37)) % 2.24/2.44 (define @t153 () (not @t152)) % 2.24/2.44 (define @t154 () (@list @t20 @t81 @t33 @t42)) % 2.24/2.44 (define @t155 () (tptp.c_lessequals @t124 @t54 @t9)) % 2.24/2.44 (define @t156 () (@var "V_g" $$unsorted)) % 2.24/2.44 (define @t157 () (not (tptp.class_Lattices_Oupper__semilattice @t33))) % 2.24/2.44 (define @t158 () (tptp.c_Message_Oanalz @t126)) % 2.24/2.44 (define @t159 () (tptp.c_Message_Oanalz @t123)) % 2.24/2.44 (define @t160 () (tptp.c_lessequals @t123 @t130 @t9)) % 2.24/2.44 (define @t161 () (not @t160)) % 2.24/2.44 (define @t162 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t149 @t37)) % 2.24/2.44 (define @t163 () (@list @t20 @t81 @t148 @t33)) % 2.24/2.44 (define @t164 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t94 @t148 @t37)) % 2.24/2.44 (define @t165 () (@list @t20 @t81 @t33 @t148)) % 2.24/2.44 (define @t166 () (@var "V_z" $$unsorted)) % 2.24/2.44 (define @t167 () (@var "V_y" $$unsorted)) % 2.24/2.44 (define @t168 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t167 @t166 @t33)) % 2.24/2.44 (define @t169 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t168 @t33)) % 2.24/2.44 (define @t170 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t167 @t33)) % 2.24/2.44 (define @t171 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t170 @t166 @t33) @t169)) % 2.24/2.44 (define @t172 () (@list @t33 @t42 @t167 @t166)) % 2.24/2.44 (define @t173 () (= @t169 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t167 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t166 @t33) @t33))) % 2.24/2.44 (define @t174 () (not (tptp.class_Lattices_Olattice @t33))) % 2.24/2.44 (define @t175 () (tptp.c_lessequals @t20 @t148 @t37)) % 2.24/2.44 (define @t176 () (not @t175)) % 2.24/2.44 (define @t177 () (tptp.c_lessequals @t81 @t148 @t37)) % 2.24/2.44 (define @t178 () (not @t177)) % 2.24/2.44 (define @t179 () (tptp.c_lessequals @t94 @t148 @t37)) % 2.24/2.44 (define @t180 () (tptp.c_lessequals @t45 @t42 @t33)) % 2.24/2.44 (define @t181 () (tptp.c_lessequals @t47 @t42 @t33)) % 2.24/2.44 (define @t182 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t45 @t47 @t33)) % 2.24/2.44 (define @t183 () (tptp.c_lessequals @t182 @t42 @t33)) % 2.24/2.44 (define @t184 () (tptp.c_lessequals @t42 @t170 @t33)) % 2.24/2.44 (define @t185 () (@list @t33 @t42 @t167)) % 2.24/2.44 (define @t186 () (tptp.c_lessequals @t167 @t170 @t33)) % 2.24/2.44 (define @t187 () (@list @t33 @t167 @t42)) % 2.24/2.44 (define @t188 () (tptp.c_lessequals @t167 @t42 @t33)) % 2.24/2.44 (define @t189 () (not @t188)) % 2.24/2.44 (define @t190 () (tptp.c_lessequals @t166 @t42 @t33)) % 2.24/2.44 (define @t191 () (@list @t33 @t167 @t166 @t42)) % 2.24/2.44 (define @t192 () (tptp.c_lessequals @t42 @t166 @t33)) % 2.24/2.44 (define @t193 () (tptp.c_lessequals @t167 @t166 @t33)) % 2.24/2.44 (define @t194 () (not @t193)) % 2.24/2.44 (define @t195 () (tptp.c_lessequals @t170 @t166 @t33)) % 2.24/2.44 (define @t196 () (tptp.c_HOL_Ouminus__class_Ouminus @t42 @t33)) % 2.24/2.44 (define @t197 () (tptp.c_Message_Omsg_ONonce @t4)) % 2.24/2.44 (define @t198 () (@var "V_msg_H" $$unsorted)) % 2.24/2.44 (define @t199 () (tptp.c_Message_Omsg_OHash @t198)) % 2.24/2.44 (define @t200 () (@list @t198 @t4)) % 2.24/2.44 (define @t201 () (= @t170 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t167 @t42 @t33))) % 2.24/2.44 (define @t202 () (tptp.c_lessequals @t123 @t54 @t9)) % 2.24/2.44 (define @t203 () (not @t202)) % 2.24/2.44 (define @t204 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t170 @t33) @t170)) % 2.24/2.44 (define @t205 () (tptp.tc_fun tptp.tc_nat tptp.tc_bool)) % 2.24/2.44 (define @t206 () (tptp.c_Message_OkeysFor @t53)) % 2.24/2.44 (define @t207 () (tptp.c_HOL_Ouminus__class_Ouminus @t142 @t33)) % 2.24/2.44 (define @t208 () (not (tptp.class_OrderedGroup_Ogroup__add @t33))) % 2.24/2.44 (define @t209 () (@list @t33 @t45)) % 2.24/2.44 (define @t210 () (tptp.c_HOL_Ouminus__class_Ouminus @t143 @t33)) % 2.24/2.44 (define @t211 () (@list @t33 @t47)) % 2.24/2.44 (define @t212 () (tptp.hAPP @t62 @t42)) % 2.24/2.44 (define @t213 () (tptp.c_lessequals @t45 @t143 @t33)) % 2.24/2.44 (define @t214 () (tptp.c_lessequals @t47 @t142 @t33)) % 2.24/2.44 (define @t215 () (tptp.c_lessequals @t142 @t47 @t33)) % 2.24/2.44 (define @t216 () (tptp.c_lessequals @t143 @t45 @t33)) % 2.24/2.44 (define @t217 () (@var "V_t" $$unsorted)) % 2.24/2.44 (define @t218 () (tptp.hBOOL (tptp.c_in @t42 @t20 @t33))) % 2.24/2.44 (define @t219 () (not @t218)) % 2.24/2.44 (define @t220 () (tptp.hBOOL (tptp.c_in @t42 @t81 @t33))) % 2.24/2.44 (define @t221 () (@list @t42 @t81 @t33 @t20)) % 2.24/2.44 (define @t222 () (tptp.hBOOL (tptp.c_in @t73 @t20 @t33))) % 2.24/2.44 (define @t223 () (not @t222)) % 2.24/2.44 (define @t224 () (tptp.hBOOL (tptp.c_in @t73 @t81 @t33))) % 2.24/2.44 (define @t225 () (@list @t73 @t81 @t33 @t20)) % 2.24/2.44 (define @t226 () (tptp.hBOOL (tptp.c_in @t73 @t94 @t33))) % 2.24/2.44 (define @t227 () (@list @t73 @t20 @t81 @t33)) % 2.24/2.44 (define @t228 () (tptp.hBOOL (tptp.c_in @t73 @t51 @t33))) % 2.24/2.44 (define @t229 () (@list @t73 @t20 @t33)) % 2.24/2.44 (define @t230 () (@var "V_msg" $$unsorted)) % 2.24/2.44 (define @t231 () (tptp.c_Message_Omsg_OHash @t230)) % 2.24/2.44 (define @t232 () (@var "V_msg2_H" $$unsorted)) % 2.24/2.44 (define @t233 () (@var "V_msg1_H" $$unsorted)) % 2.24/2.44 (define @t234 () (tptp.c_Message_Omsg_OMPair @t233 @t232)) % 2.24/2.44 (define @t235 () (tptp.c_Message_Omsg_OCrypt @t1 @t198)) % 2.24/2.44 (define @t236 () (tptp.hAPP tptp.c_Message_Omsg_OKey @t4)) % 2.24/2.44 (define @t237 () (@list @t4 @t198)) % 2.24/2.44 (define @t238 () (tptp.c_lessequals @t159 @t104 @t9)) % 2.24/2.44 (define @t239 () (tptp.c_lessequals @t123 @t104 @t9)) % 2.24/2.44 (define @t240 () (not @t239)) % 2.24/2.44 (define @t241 () (@list @t53)) % 2.24/2.44 (define @t242 () (@var "V_H_H" $$unsorted)) % 2.24/2.44 (define @t243 () (@var "V_G_H" $$unsorted)) % 2.24/2.44 (define @t244 () (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup @t243 @t242 @t9))) % 2.24/2.44 (define @t245 () (tptp.c_Message_Oanalz @t243)) % 2.24/2.44 (define @t246 () (tptp.c_Message_Oanalz @t242)) % 2.24/2.44 (define @t247 () (not (= @t104 @t246))) % 2.24/2.44 (define @t248 () (@var "V_agent" $$unsorted)) % 2.24/2.44 (define @t249 () (tptp.c_Message_Omsg_OAgent @t248)) % 2.24/2.44 (define @t250 () (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t251 () (tptp.c_Event_Oused @t250)) % 2.24/2.44 (define @t252 () (@list @t10)) % 2.24/2.44 (define @t253 () (tptp.c_Set_Oinsert @t14 @t123 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t254 () (tptp.c_Message_Oparts @t253)) % 2.24/2.44 (define @t255 () (tptp.hBOOL (tptp.c_in @t14 @t54 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t256 () (not @t255)) % 2.24/2.44 (define @t257 () (tptp.hBOOL (tptp.c_in @t14 @t104 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t258 () (not @t257)) % 2.24/2.44 (define @t259 () (not (tptp.c_lessequals @t53 @t123 @t9))) % 2.24/2.44 (define @t260 () (tptp.c_Message_Oanalz @t253)) % 2.24/2.44 (define @t261 () (tptp.c_Message_Oanalz @t55)) % 2.24/2.44 (define @t262 () (@var "V_K" $$unsorted)) % 2.24/2.44 (define @t263 () (tptp.c_Message_Omsg_OCrypt @t262 @t14)) % 2.24/2.44 (define @t264 () (tptp.c_Set_Oinsert @t263 @t261 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t265 () (tptp.c_Set_Oinsert @t263 @t53 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t266 () (tptp.c_Message_Oanalz @t265)) % 2.24/2.44 (define @t267 () (tptp.c_lessequals @t266 @t264 @t9)) % 2.24/2.44 (define @t268 () (@list @t262 @t14 @t53)) % 2.24/2.44 (define @t269 () (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey @t20 tptp.tc_nat tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t270 () (tptp.c_Message_Omsg_OHash @t14)) % 2.24/2.44 (define @t271 () (tptp.c_List_Osko__List__Xin__lists__conv__set__1__1 @t20 @t35 @t33)) % 2.24/2.44 (define @t272 () (tptp.tc_List_Olist @t33)) % 2.24/2.44 (define @t273 () (tptp.c_List_Olists @t20 @t33)) % 2.24/2.44 (define @t274 () (tptp.hBOOL (tptp.c_in @t35 @t273 @t272))) % 2.24/2.44 (define @t275 () (@list @t35 @t20 @t33)) % 2.24/2.44 (define @t276 () (tptp.tc_List_Olist tptp.t_a)) % 2.24/2.44 (define @t277 () (tptp.c_List_Olists @t20 tptp.t_a)) % 2.24/2.44 (define @t278 () (not (tptp.hBOOL (tptp.c_in @t42 @t277 @t276)))) % 2.24/2.44 (define @t279 () (tptp.c_List_Olist_ONil tptp.t_a)) % 2.24/2.44 (define @t280 () (not (tptp.hBOOL (tptp.hAPP @t100 @t279)))) % 2.24/2.44 (define @t281 () (tptp.v_sko__List__Xlists__Xinducts__2 @t20 @t100)) % 2.24/2.44 (define @t282 () (@list @t100 @t42 @t20)) % 2.24/2.44 (define @t283 () (not @t120)) % 2.24/2.44 (define @t284 () (= @t42 @t167)) % 2.24/2.44 (define @t285 () (= @t20 @t81)) % 2.24/2.44 (define @t286 () (tptp.c_lessequals @t42 @t167 @t33)) % 2.24/2.44 (define @t287 () (not @t286)) % 2.24/2.44 (define @t288 () (not (tptp.class_Orderings_Oorder @t33))) % 2.24/2.44 (define @t289 () (= @t170 @t167)) % 2.24/2.44 (define @t290 () (= @t94 @t81)) % 2.24/2.44 (define @t291 () (= @t230 @t198)) % 2.24/2.44 (define @t292 () (tptp.c_Set_Oimage @t62 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t81 @t59) @t58 @t33)) % 2.24/2.44 (define @t293 () (tptp.c_Set_Oimage @t62 @t81 @t58 @t33)) % 2.24/2.44 (define @t294 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t63 @t293 @t37)) % 2.24/2.44 (define @t295 () (@var "V_D" $$unsorted)) % 2.24/2.44 (define @t296 () (not @t195)) % 2.24/2.44 (define @t297 () (@list @t33 @t42 @t166 @t167)) % 2.24/2.44 (define @t298 () (tptp.c_lessequals @t42 @t182 @t33)) % 2.24/2.44 (define @t299 () (@list @t33 @t42 @t45 @t47)) % 2.24/2.44 (define @t300 () (not @t183)) % 2.24/2.44 (define @t301 () (not @t179)) % 2.24/2.44 (define @t302 () (@list @t20 @t148 @t33 @t81)) % 2.24/2.44 (define @t303 () (not (tptp.class_Orderings_Opreorder @t33))) % 2.24/2.44 (define @t304 () (@var "V_Q" $$unsorted)) % 2.24/2.44 (define @t305 () (not (tptp.c_lessequals @t100 @t304 @t37))) % 2.24/2.44 (define @t306 () (tptp.hBOOL (tptp.hAPP @t304 @t42))) % 2.24/2.44 (define @t307 () (@list @t304 @t42 @t100 @t33)) % 2.24/2.44 (define @t308 () (tptp.c_lessequals @t42 @t42 @t33)) % 2.24/2.44 (define @t309 () (tptp.c_Set_Oinsert @t270 @t53 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t310 () (tptp.c_Set_Oimage @t62 @t20 @t33 @t58)) % 2.24/2.44 (define @t311 () (@list @t42 @t20 @t58 @t62 @t33)) % 2.24/2.44 (define @t312 () (@list @t14 @t53 @t123)) % 2.24/2.44 (define @t313 () (tptp.hBOOL (tptp.c_in @t263 @t53 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t314 () (not @t313)) % 2.24/2.44 (define @t315 () (tptp.hBOOL (tptp.c_in @t262 tptp.c_Message_OsymKeys tptp.tc_nat))) % 2.24/2.44 (define @t316 () (not @t315)) % 2.24/2.44 (define @t317 () (@list @t262 @t53 @t14)) % 2.24/2.44 (define @t318 () (tptp.hAPP tptp.c_Message_OinvKey (tptp.hAPP @t27 @t20))) % 2.24/2.44 (define @t319 () (@list @t20)) % 2.24/2.44 (define @t320 () (tptp.c_Set_Oinsert @t42 @t81 @t33)) % 2.24/2.44 (define @t321 () (tptp.c_lessequals @t20 @t320 @t37)) % 2.24/2.44 (define @t322 () (not @t321)) % 2.24/2.44 (define @t323 () (@list @t42 @t20 @t33 @t81)) % 2.24/2.44 (define @t324 () (not (tptp.hBOOL (tptp.c_in @t42 @t20 @t58)))) % 2.24/2.44 (define @t325 () (tptp.c_List_Olist_OCons @t42 @t35 @t33)) % 2.24/2.44 (define @t326 () (tptp.c_List_Oset @t325 @t33)) % 2.24/2.44 (define @t327 () (tptp.hBOOL (tptp.c_in @t73 @t124 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t328 () (tptp.hBOOL (tptp.c_in @t73 @t54 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t329 () (not (tptp.hBOOL (tptp.c_in @t73 @t159 tptp.tc_Message_Omsg)))) % 2.24/2.44 (define @t330 () (tptp.c_Message_Omsg_OMPair @t14 @t88)) % 2.24/2.44 (define @t331 () (tptp.c_Set_Oinsert @t330 @t53 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t332 () (tptp.hBOOL (tptp.c_in @t270 @t130 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t333 () (tptp.hBOOL (tptp.c_in @t14 @t130 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t334 () (not @t333)) % 2.24/2.44 (define @t335 () (tptp.c_Message_Osynth @t159)) % 2.24/2.44 (define @t336 () (tptp.c_Message_Omsg_OCrypt @t14 @t262)) % 2.24/2.44 (define @t337 () (tptp.c_Set_Oinsert @t336 @t20 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t338 () (@var "V_X_H" $$unsorted)) % 2.24/2.44 (define @t339 () (tptp.c_Message_Omsg_OHash @t338)) % 2.24/2.44 (define @t340 () (tptp.hAPP tptp.c_Message_Omsg_OKey @t262)) % 2.24/2.44 (define @t341 () (tptp.c_Set_Oinsert @t340 @t53 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t342 () (@list @t262 @t53)) % 2.24/2.44 (define @t343 () (tptp.c_Set_Oinsert @t340 @t20 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t344 () (@list @t262 @t14 @t20)) % 2.24/2.44 (define @t345 () (tptp.c_Message_Osynth @t55)) % 2.24/2.44 (define @t346 () (tptp.c_Message_Omsg_OAgent @t20)) % 2.24/2.44 (define @t347 () (@list @t20 @t53)) % 2.24/2.44 (define @t348 () (not (tptp.hBOOL (tptp.c_in @t45 @t277 @t276)))) % 2.24/2.44 (define @t349 () (= @t45 @t279)) % 2.24/2.44 (define @t350 () (tptp.v_sko__List__Xlists__Xcases__2 @t20 @t45)) % 2.24/2.44 (define @t351 () (tptp.v_sko__List__Xlists__Xcases__1 @t20 @t45)) % 2.24/2.44 (define @t352 () (tptp.v_sko__List__Xlists__Xinduct__2 @t20 @t100)) % 2.24/2.44 (define @t353 () (tptp.v_sko__List__Xlists__Xinduct__1 @t20 @t100)) % 2.24/2.44 (define @t354 () (tptp.v_sko__List__Xlists__Xinducts__1 @t20 @t100)) % 2.24/2.44 (define @t355 () (@var "V_N" $$unsorted)) % 2.24/2.44 (define @t356 () (tptp.c_Message_Omsg_ONonce @t355)) % 2.24/2.44 (define @t357 () (tptp.c_Set_Oinsert @t356 @t53 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t358 () (@list @t355 @t53)) % 2.24/2.44 (define @t359 () (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_OinvKey @t42) (tptp.c_Set_Oimage tptp.c_Message_OinvKey @t20 tptp.tc_nat tptp.tc_nat) tptp.tc_nat))) % 2.24/2.44 (define @t360 () (tptp.hBOOL (tptp.c_in @t42 @t20 tptp.tc_nat))) % 2.24/2.44 (define @t361 () (@list @t42 @t20)) % 2.24/2.44 (define @t362 () (not @t360)) % 2.24/2.44 (define @t363 () (tptp.hAPP tptp.c_Message_OinvKey @t262)) % 2.24/2.44 (define @t364 () (tptp.hBOOL (tptp.c_in @t363 tptp.c_Message_OsymKeys tptp.tc_nat))) % 2.24/2.44 (define @t365 () (@list @t262)) % 2.24/2.44 (define @t366 () (tptp.c_Public_OpublicKey @t47)) % 2.24/2.44 (define @t367 () (tptp.hAPP @t366 @t20)) % 2.24/2.44 (define @t368 () (@list @t47 @t20)) % 2.24/2.44 (define @t369 () (@var "V_e" $$unsorted)) % 2.24/2.44 (define @t370 () (tptp.c_Event_OinitState @t20)) % 2.24/2.44 (define @t371 () (@list @t20 @t10)) % 2.24/2.44 (define @t372 () (@list @t20 @t45)) % 2.24/2.44 (define @t373 () (tptp.hAPP tptp.c_Message_OinvKey @t367)) % 2.24/2.44 (define @t374 () (@var "V_A_H" $$unsorted)) % 2.24/2.44 (define @t375 () (tptp.hAPP tptp.c_Public_OshrK @t81)) % 2.24/2.44 (define @t376 () (@list @t20 @t10 @t374 @t14)) % 2.24/2.44 (define @t377 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t378 () (tptp.c_Message_Omsg_OHash @t330)) % 2.24/2.44 (define @t379 () (tptp.hBOOL (tptp.c_in @t378 @t104 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t380 () (tptp.hBOOL (tptp.c_in @t378 @t105 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t381 () (not (tptp.hBOOL (tptp.c_in @t10 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)))) % 2.24/2.44 (define @t382 () (@var "V_KK" $$unsorted)) % 2.24/2.44 (define @t383 () (not (tptp.c_lessequals @t382 (tptp.c_HOL_Ouminus__class_Ouminus @t116 @t205) @t205))) % 2.24/2.44 (define @t384 () (tptp.c_Message_Oanalz @t11)) % 2.24/2.44 (define @t385 () (tptp.hBOOL (tptp.c_in @t340 @t384 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t386 () (not @t385)) % 2.24/2.44 (define @t387 () (tptp.hBOOL (tptp.c_in @t340 (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey @t382 tptp.tc_nat tptp.tc_Message_Omsg) @t11 @t9)) tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t388 () (@list @t262 @t382 @t10)) % 2.24/2.44 (define @t389 () (tptp.hAPP tptp.c_Message_Omsg_OKey @t363)) % 2.24/2.44 (define @t390 () (@var "V_nE" $$unsorted)) % 2.24/2.44 (define @t391 () (tptp.hBOOL (tptp.c_in @t340 (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey @t390 tptp.tc_nat tptp.tc_Message_Omsg) @t53 @t9)) tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t392 () (not (tptp.hBOOL (tptp.c_in @t340 @t104 tptp.tc_Message_Omsg)))) % 2.24/2.44 (define @t393 () (@list @t262 @t390 @t53)) % 2.24/2.44 (define @t394 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t111)) % 2.24/2.44 (define @t395 () (tptp.hBOOL (tptp.c_in @t262 @t382 tptp.tc_nat))) % 2.24/2.44 (define @t396 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t114)) % 2.24/2.44 (define @t397 () (@list @t10 @t20 @t14)) % 2.24/2.44 (define @t398 () (tptp.c_Event_Oevent_OGets @t20 @t14)) % 2.24/2.44 (define @t399 () (tptp.c_List_Olist_OCons @t398 @t10 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t400 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t399)) % 2.24/2.44 (define @t401 () (@var "V_AS" $$unsorted)) % 2.24/2.44 (define @t402 () (tptp.c_Public_OpublicKey @t73)) % 2.24/2.44 (define @t403 () (tptp.c_Set_Oimage tptp.c_Message_OinvKey (tptp.c_Set_Oimage @t402 @t401 tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat tptp.tc_nat)) % 2.24/2.44 (define @t404 () (not (tptp.hBOOL (tptp.c_in @t373 @t403 tptp.tc_nat)))) % 2.24/2.44 (define @t405 () (tptp.hBOOL (tptp.c_in @t340 @t18 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t406 () (@list @t262 @t10)) % 2.24/2.44 (define @t407 () (@var "V_Z" $$unsorted)) % 2.24/2.44 (define @t408 () (not (tptp.hBOOL (tptp.c_in @t263 @t104 tptp.tc_Message_Omsg)))) % 2.24/2.44 (define @t409 () (@list @t14 @t53 @t262)) % 2.24/2.44 (define @t410 () (tptp.hBOOL (tptp.c_in @t340 @t159 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t411 () (tptp.hBOOL (tptp.c_in @t340 @t260 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t412 () (not (tptp.hBOOL (tptp.c_in @t262 @t390 tptp.tc_nat)))) % 2.24/2.44 (define @t413 () (@var "V_AA" $$unsorted)) % 2.24/2.44 (define @t414 () (tptp.c_Set_Oimage @t366 @t413 tptp.tc_Message_Oagent tptp.tc_nat)) % 2.24/2.44 (define @t415 () (tptp.hAPP tptp.c_Public_OshrK @t42)) % 2.24/2.44 (define @t416 () (@list @t42 @t47 @t413)) % 2.24/2.44 (define @t417 () (tptp.hBOOL (tptp.c_in @t20 @t401 tptp.tc_Message_Oagent))) % 2.24/2.44 (define @t418 () (tptp.c_Public_OpublicKey @t42)) % 2.24/2.44 (define @t419 () (tptp.hBOOL (tptp.c_in @t389 @t104 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t420 () (not @t419)) % 2.24/2.44 (define @t421 () (@var "V_evs5" $$unsorted)) % 2.24/2.44 (define @t422 () (tptp.c_List_Oset @t421 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t423 () (@var "V_NB" $$unsorted)) % 2.24/2.44 (define @t424 () (tptp.c_Message_Omsg_ONonce @t423)) % 2.24/2.44 (define @t425 () (tptp.c_Message_Omsg_OCrypt @t262 @t424)) % 2.24/2.44 (define @t426 () (@var "V_B_H" $$unsorted)) % 2.24/2.44 (define @t427 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays @t426 @t20 @t425) @t422 tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t428 () (tptp.c_Message_Omsg_OAgent @t81)) % 2.24/2.44 (define @t429 () (tptp.c_Message_Omsg_OMPair @t428 (tptp.c_Message_Omsg_OMPair @t340 @t14))) % 2.24/2.44 (define @t430 () (@var "V_NA" $$unsorted)) % 2.24/2.44 (define @t431 () (tptp.c_Message_Omsg_ONonce @t430)) % 2.24/2.44 (define @t432 () (tptp.hAPP tptp.c_Public_OshrK @t20)) % 2.24/2.44 (define @t433 () (tptp.c_Message_Omsg_OCrypt @t432 (tptp.c_Message_Omsg_OMPair @t431 @t429))) % 2.24/2.44 (define @t434 () (@var "V_S" $$unsorted)) % 2.24/2.44 (define @t435 () (tptp.c_Event_Oevent_OSays @t434 @t20 @t433)) % 2.24/2.44 (define @t436 () (not (tptp.hBOOL (tptp.c_in @t435 @t422 tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t437 () (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays @t20 @t81 (tptp.c_Message_Omsg_OCrypt @t262 (tptp.c_Message_Omsg_OMPair @t424 @t424))) @t421 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t438 () (@list @t20 @t81 @t262 @t423 @t421 @t434 @t430 @t14 @t426)) % 2.24/2.44 (define @t439 () (@var "V_evs4" $$unsorted)) % 2.24/2.44 (define @t440 () (tptp.hBOOL (tptp.c_in @t424 (tptp.c_Event_Oused @t439) tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t441 () (tptp.c_Message_Omsg_OCrypt @t375 (tptp.c_Message_Omsg_OMPair @t340 @t346))) % 2.24/2.44 (define @t442 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays @t374 @t81 @t441) (tptp.c_List_Oset @t439 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t443 () (tptp.c_Event_Oevent_OSays @t81 @t20 @t425)) % 2.24/2.44 (define @t444 () (tptp.c_List_Olist_OCons @t443 @t439 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t445 () (@list @t81 @t20 @t262 @t423 @t439 @t374)) % 2.24/2.44 (define @t446 () (@var "V_evs2" $$unsorted)) % 2.24/2.44 (define @t447 () (@var "V_KAB" $$unsorted)) % 2.24/2.44 (define @t448 () (tptp.hAPP tptp.c_Message_Omsg_OKey @t447)) % 2.24/2.44 (define @t449 () (tptp.hBOOL (tptp.c_in @t448 (tptp.c_Event_Oused @t446) tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t450 () (not (tptp.hBOOL (tptp.c_in @t447 tptp.c_Message_OsymKeys tptp.tc_nat)))) % 2.24/2.44 (define @t451 () (tptp.c_Message_Omsg_OMPair @t346 (tptp.c_Message_Omsg_OMPair @t428 @t431))) % 2.24/2.44 (define @t452 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays @t374 tptp.c_Message_Oagent_OServer @t451) (tptp.c_List_Oset @t446 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t453 () (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t20 (tptp.c_Message_Omsg_OCrypt @t432 (tptp.c_Message_Omsg_OMPair @t431 (tptp.c_Message_Omsg_OMPair @t428 (tptp.c_Message_Omsg_OMPair @t448 (tptp.c_Message_Omsg_OCrypt @t375 (tptp.c_Message_Omsg_OMPair @t448 @t346))))))) @t446 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t454 () (@list @t20 @t430 @t81 @t447 @t446 @t374)) % 2.24/2.44 (define @t455 () (@list @t1 @t198 @t4)) % 2.24/2.44 (define @t456 () (@list @t4 @t1 @t198)) % 2.24/2.44 (define @t457 () (tptp.hAPP tptp.c_Message_Omsg_OKey @t1)) % 2.24/2.44 (define @t458 () (tptp.c_Message_Omsg_ONonce @t1)) % 2.24/2.44 (define @t459 () (@list @t1 @t248)) % 2.24/2.44 (define @t460 () (@list @t248 @t1)) % 2.24/2.44 (define @t461 () (@var "V_agent_H" $$unsorted)) % 2.24/2.44 (define @t462 () (tptp.c_Event_Oevent_OGets @t461 @t198)) % 2.24/2.44 (define @t463 () (@var "V_agent2" $$unsorted)) % 2.24/2.44 (define @t464 () (@var "V_agent1" $$unsorted)) % 2.24/2.44 (define @t465 () (tptp.c_Event_Oevent_OSays @t464 @t463 @t230)) % 2.24/2.44 (define @t466 () (@list @t464 @t463 @t230 @t461 @t198)) % 2.24/2.44 (define @t467 () (@list @t461 @t198 @t464 @t463 @t230)) % 2.24/2.44 (define @t468 () (tptp.c_Event_Oevent_OGets @t248 @t230)) % 2.24/2.44 (define @t469 () (tptp.c_Event_Oevent_ONotes @t461 @t198)) % 2.24/2.44 (define @t470 () (@list @t248 @t230 @t461 @t198)) % 2.24/2.44 (define @t471 () (@var "V_evs1" $$unsorted)) % 2.24/2.44 (define @t472 () (tptp.hBOOL (tptp.c_in @t431 (tptp.c_Event_Oused @t471) tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t473 () (tptp.c_Event_Oevent_OSays @t20 tptp.c_Message_Oagent_OServer @t451)) % 2.24/2.44 (define @t474 () (tptp.c_List_Olist_OCons @t473 @t471 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t475 () (@list @t20 @t81 @t430 @t471)) % 2.24/2.44 (define @t476 () (tptp.hBOOL (tptp.c_in @t447 @t116 tptp.tc_nat))) % 2.24/2.44 (define @t477 () (tptp.hBOOL (tptp.c_in @t340 (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert @t448 @t11 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t478 () (tptp.hAPP tptp.c_Message_Omsg_OKey @t42)) % 2.24/2.44 (define @t479 () (@var "V_evsf" $$unsorted)) % 2.24/2.44 (define @t480 () (not (tptp.hBOOL (tptp.c_in @t14 (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t479))) tptp.tc_Message_Omsg)))) % 2.24/2.44 (define @t481 () (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy @t81 @t14) @t479 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t482 () (@list @t81 @t14 @t479)) % 2.24/2.44 (define @t483 () (= @t167 @t42)) % 2.24/2.44 (define @t484 () (not (tptp.hBOOL (tptp.c_in @t330 @t54 tptp.tc_Message_Omsg)))) % 2.24/2.44 (define @t485 () (@list @t88 @t53 @t14)) % 2.24/2.44 (define @t486 () (@list @t14 @t53 @t88)) % 2.24/2.44 (define @t487 () (tptp.c_Event_Oused @t53)) % 2.24/2.44 (define @t488 () (not (tptp.hBOOL (tptp.c_in @t330 @t487 tptp.tc_Message_Omsg)))) % 2.24/2.44 (define @t489 () (tptp.hBOOL (tptp.c_in @t88 @t130 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t490 () (tptp.hBOOL (tptp.c_in @t330 @t130 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t491 () (not @t490)) % 2.24/2.44 (define @t492 () (tptp.hBOOL (tptp.c_in @t330 @t53 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t493 () (tptp.hBOOL (tptp.c_in @t263 @t130 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t494 () (not @t493)) % 2.24/2.44 (define @t495 () (tptp.c_Message_Omsg_OMPair @t338 @t88)) % 2.24/2.44 (define @t496 () (tptp.hBOOL (tptp.c_in @t340 @t53 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t497 () (not @t496)) % 2.24/2.44 (define @t498 () (tptp.hBOOL (tptp.c_in @t340 @t130 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t499 () (tptp.hBOOL (tptp.c_in @t88 @t104 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t500 () (tptp.c_Set_Oinsert @t45 @t123 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t501 () (@list @t73 @t45 @t123)) % 2.24/2.44 (define @t502 () (not (tptp.hBOOL (tptp.c_in @t73 @t104 tptp.tc_Message_Omsg)))) % 2.24/2.44 (define @t503 () (@list @t73 @t53)) % 2.24/2.44 (define @t504 () (tptp.hBOOL (tptp.c_in @t263 @t105 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t505 () (@var "V_agt" $$unsorted)) % 2.24/2.44 (define @t506 () (tptp.c_Message_Omsg_OAgent @t505)) % 2.24/2.44 (define @t507 () (@list @t505 @t53)) % 2.24/2.44 (define @t508 () (tptp.hAPP tptp.c_Message_Omsg_OKey @t432)) % 2.24/2.44 (define @t509 () (tptp.c_Event_OinitState @t81)) % 2.24/2.44 (define @t510 () (tptp.hAPP tptp.c_Message_Omsg_OKey @t367)) % 2.24/2.44 (define @t511 () (tptp.hBOOL (tptp.c_in @t478 @t269 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t512 () (@list @t47 @t20 @t10)) % 2.24/2.44 (define @t513 () (tptp.c_Message_Oparts @t509)) % 2.24/2.44 (define @t514 () (@list @t233 @t232 @t4)) % 2.24/2.44 (define @t515 () (@list @t4 @t233 @t232)) % 2.24/2.44 (define @t516 () (tptp.c_Message_Osynth @t130)) % 2.24/2.44 (define @t517 () (not (tptp.hBOOL (tptp.c_in @t14 @t53 tptp.tc_Message_Omsg)))) % 2.24/2.44 (define @t518 () (tptp.c_Message_Oparts @t54)) % 2.24/2.44 (define @t519 () (@list @t62 @t42 @t20 @t33 @t58)) % 2.24/2.44 (define @t520 () (tptp.hBOOL (tptp.c_in @t212 @t63 @t33))) % 2.24/2.44 (define @t521 () (@var "T_aa" $$unsorted)) % 2.24/2.44 (define @t522 () (tptp.hBOOL (tptp.c_in @t45 @t20 @t33))) % 2.24/2.44 (define @t523 () (not @t522)) % 2.24/2.44 (define @t524 () (@list @t42 @t20 @t33)) % 2.24/2.44 (define @t525 () (tptp.hBOOL (tptp.c_in @t45 (tptp.c_Set_Oinsert @t47 @t20 @t33) @t33))) % 2.24/2.44 (define @t526 () (tptp.hAPP tptp.c_Message_Omsg_OKey @t373)) % 2.24/2.44 (define @t527 () (tptp.c_Set_Oimage @t62 (tptp.c_Set_Oinsert @t45 @t81 @t58) @t58 @t33)) % 2.24/2.44 (define @t528 () (tptp.c_Set_Oinsert (tptp.hAPP @t62 @t45) @t293 @t33)) % 2.24/2.44 (define @t529 () (@list @t62 @t45 @t81 @t58 @t33)) % 2.24/2.44 (define @t530 () (@var "V_n" $$unsorted)) % 2.24/2.44 (define @t531 () (tptp.c_Message_Omsg_ONonce @t530)) % 2.24/2.44 (define @t532 () (tptp.hBOOL (tptp.c_in @t356 @t130 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t533 () (tptp.hBOOL (tptp.c_in @t356 @t53 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t534 () (@var "V_list_H" $$unsorted)) % 2.24/2.44 (define @t535 () (@var "V_a_H" $$unsorted)) % 2.24/2.44 (define @t536 () (tptp.c_List_Olist_OCons @t535 @t534 @t33)) % 2.24/2.44 (define @t537 () (tptp.c_Set_Oinsert @t167 @t20 @t33)) % 2.24/2.44 (define @t538 () (tptp.hBOOL (tptp.hAPP @t537 @t42))) % 2.24/2.44 (define @t539 () (tptp.c_Set_Oimage tptp.c_Public_OshrK @t413 tptp.tc_Message_Oagent tptp.tc_nat)) % 2.24/2.44 (define @t540 () (tptp.hBOOL (tptp.c_in @t415 @t539 tptp.tc_nat))) % 2.24/2.44 (define @t541 () (tptp.hBOOL (tptp.c_in @t42 @t413 tptp.tc_Message_Oagent))) % 2.24/2.44 (define @t542 () (@list @t42 @t413)) % 2.24/2.44 (define @t543 () (tptp.c_Set_Oinsert @t356 @t20 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t544 () (@list @t355)) % 2.24/2.44 (define @t545 () (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey @t355 tptp.tc_nat tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t546 () (tptp.hAPP @t402 @t374)) % 2.24/2.44 (define @t547 () (not (= @t367 @t546))) % 2.24/2.44 (define @t548 () (@list @t47 @t20 @t73 @t374)) % 2.24/2.44 (define @t549 () (= @t20 @t374)) % 2.24/2.44 (define @t550 () (tptp.hAPP @t366 @t42)) % 2.24/2.44 (define @t551 () (@list @t47 @t42 @t413)) % 2.24/2.44 (define @t552 () (@var "V_K_H" $$unsorted)) % 2.24/2.44 (define @t553 () (tptp.c_Set_Oimage @t402 @t413 tptp.tc_Message_Oagent tptp.tc_nat)) % 2.24/2.44 (define @t554 () (not (tptp.hBOOL (tptp.c_in @t550 @t553 tptp.tc_nat)))) % 2.24/2.44 (define @t555 () (tptp.hAPP tptp.c_Message_OinvKey @t550)) % 2.24/2.44 (define @t556 () (tptp.c_Set_Oinsert @t506 @t53 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t557 () (tptp.hAPP @t366 @t148)) % 2.24/2.44 (define @t558 () (@list @t47 @t148 @t20)) % 2.24/2.44 (define @t559 () (not (= @t468 @t462))) % 2.24/2.44 (define @t560 () (= @t248 @t461)) % 2.24/2.44 (define @t561 () (@list @t20 @t47 @t148)) % 2.24/2.44 (define @t562 () (not (tptp.hBOOL (tptp.c_in @t262 @t116 tptp.tc_nat)))) % 2.24/2.44 (define @t563 () (@var "V_list" $$unsorted)) % 2.24/2.44 (define @t564 () (not (= (tptp.c_List_Olist_OCons @t45 @t563 @t33) @t536))) % 2.24/2.44 (define @t565 () (@list @t45 @t563 @t33 @t535 @t534)) % 2.24/2.44 (define @t566 () (tptp.hAPP tptp.c_Message_OinvKey @t557)) % 2.24/2.44 (define @t567 () (= @t20 tptp.c_Message_Oagent_OSpy)) % 2.24/2.44 (define @t568 () (tptp.c_Message_Omsg_OCrypt @t14 @t552)) % 2.24/2.44 (define @t569 () (tptp.c_Message_Omsg_OAgent @t148)) % 2.24/2.44 (define @t570 () (tptp.c_Set_Oinsert @t569 @t20 tptp.tc_Message_Omsg)) % 2.24/2.44 (define @t571 () (not (tptp.hBOOL (tptp.c_in @t73 @t384 tptp.tc_Message_Omsg)))) % 2.24/2.44 (define @t572 () (@list @t73 @t10 @t20 @t14)) % 2.24/2.44 (define @t573 () (@var "V_evs3" $$unsorted)) % 2.24/2.44 (define @t574 () (= @t20 tptp.c_Message_Oagent_OServer)) % 2.24/2.44 (define @t575 () (tptp.c_List_Oset @t573 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t576 () (not (tptp.hBOOL (tptp.c_in @t435 @t575 tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t577 () (not (tptp.hBOOL (tptp.c_in @t473 @t575 tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t578 () (tptp.c_List_Olist_OCons @t110 @t573 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t579 () (@list @t20 @t81 @t14 @t573 @t430 @t434 @t262)) % 2.24/2.44 (define @t580 () (tptp.c_Message_Omsg_OCrypt @t432 (tptp.c_Message_Omsg_OMPair @t430 @t429))) % 2.24/2.44 (define @t581 () (not (tptp.hBOOL (tptp.c_in @t580 @t12 tptp.tc_Message_Omsg)))) % 2.24/2.44 (define @t582 () (tptp.hBOOL (tptp.c_in @t20 tptp.c_Event_Obad tptp.tc_Message_Oagent))) % 2.24/2.44 (define @t583 () (@list @t262 @t10 @t20 @t430 @t81 @t14)) % 2.24/2.44 (define @t584 () (tptp.hBOOL (tptp.c_in @t14 @t21 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t585 () (tptp.c_List_Oset @t10 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t586 () (tptp.hBOOL (tptp.c_in @t398 @t585 tptp.tc_Event_Oevent))) % 2.24/2.44 (define @t587 () (tptp.hBOOL (tptp.c_in @t113 @t585 tptp.tc_Event_Oevent))) % 2.24/2.44 (define @t588 () (tptp.hBOOL (tptp.c_in @t14 @t11 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t589 () (tptp.c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 @t14 @t10)) % 2.24/2.44 (define @t590 () (@var "V_evso" $$unsorted)) % 2.24/2.44 (define @t591 () (tptp.c_List_Oset @t590 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t592 () (not (tptp.hBOOL (tptp.c_in @t443 @t591 tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t593 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t20 @t433) @t591 tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t594 () (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair @t431 (tptp.c_Message_Omsg_OMPair @t424 @t340))) @t590 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t595 () (@list @t430 @t423 @t262 @t590 @t20 @t81 @t14)) % 2.24/2.44 (define @t596 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t20 (tptp.c_Message_Omsg_OCrypt @t552 (tptp.c_Message_Omsg_OMPair @t355 @t429))) @t585 tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t597 () (not (tptp.hBOOL (tptp.c_in @t435 @t585 tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t598 () (tptp.hBOOL (tptp.c_in @t14 @t384 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t599 () (not @t582)) % 2.24/2.44 (define @t600 () (tptp.hBOOL (tptp.c_in @t330 @t105 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t601 () (not @t600)) % 2.24/2.44 (define @t602 () (tptp.hBOOL (tptp.c_in @t88 @t105 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t603 () (tptp.c_Message_Omsg_OCrypt @t432 @t14)) % 2.24/2.44 (define @t604 () (not (tptp.hBOOL (tptp.c_in @t110 @t585 tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t605 () (@list @t14 @t10 @t20 @t81)) % 2.24/2.44 (define @t606 () (not @t587)) % 2.24/2.44 (define @t607 () (@list @t14 @t10 @t20)) % 2.24/2.44 (define @t608 () (tptp.hBOOL (tptp.c_in @t508 @t12 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t609 () (tptp.c_Message_Omsg_OMPair @t81 (tptp.c_Message_Omsg_OMPair @t262 @t14))) % 2.24/2.44 (define @t610 () (= @t14 @t441)) % 2.24/2.44 (define @t611 () (tptp.hBOOL (tptp.c_in @t14 @t12 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t612 () (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t20 @t580) @t585 tptp.tc_Event_Oevent))) % 2.24/2.44 (define @t613 () (@var "V_KA" $$unsorted)) % 2.24/2.44 (define @t614 () (tptp.hBOOL (tptp.c_in @t508 @t384 tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t615 () (or (= @t552 @t432) @t381 @t596)) % 2.24/2.44 (define @t616 () (@list @t552 @t20 @t10 @t355 @t81 @t262 @t14)) % 2.24/2.44 (define @t617 () (forall @t616 @t615)) % 2.24/2.44 (define @t618 () (not @t612)) % 2.24/2.44 (define @t619 () (@var "V_NA_H" $$unsorted)) % 2.24/2.44 (define @t620 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t374 (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK @t374) (tptp.c_Message_Omsg_OMPair @t619 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t426) (tptp.c_Message_Omsg_OMPair @t340 @t338))))) @t585 tptp.tc_Event_Oevent)))) % 2.24/2.44 (define @t621 () (tptp.c_Message_Oanalz @t104)) % 2.24/2.44 (define @t622 () (not (tptp.hBOOL (tptp.c_in @t330 @t104 tptp.tc_Message_Omsg)))) % 2.24/2.44 (define @t623 () (@var "V_agent1_H" $$unsorted)) % 2.24/2.44 (define @t624 () (@var "V_agent2_H" $$unsorted)) % 2.24/2.44 (define @t625 () (not (= @t465 (tptp.c_Event_Oevent_OSays @t623 @t624 @t198)))) % 2.24/2.44 (define @t626 () (@list @t464 @t463 @t230 @t623 @t624 @t198)) % 2.24/2.44 (define @t627 () (not (= (tptp.c_Event_Oevent_ONotes @t248 @t230) @t469))) % 2.24/2.44 (define @t628 () (@var "V_msg2" $$unsorted)) % 2.24/2.44 (define @t629 () (@var "V_msg1" $$unsorted)) % 2.24/2.44 (define @t630 () (tptp.c_Message_Omsg_OMPair @t629 @t628)) % 2.24/2.44 (define @t631 () (tptp.hBOOL (tptp.hAPP @t434 @t42))) % 2.24/2.44 (define @t632 () (tptp.hBOOL (tptp.c_in @t42 @t434 @t33))) % 2.24/2.44 (define @t633 () (not (= (tptp.c_Message_Omsg_OCrypt @t4 @t230) @t235))) % 2.24/2.44 (define @t634 () (@list @t4 @t230 @t1 @t198)) % 2.24/2.44 (define @t635 () (not (= @t630 @t234))) % 2.24/2.44 (define @t636 () (@list @t629 @t628 @t233 @t232)) % 2.24/2.44 (define @t637 () (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t638 () (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K)) % 2.24/2.44 (define @t639 () (tptp.c_Message_Omsg_OAgent tptp.v_B)) % 2.24/2.44 (define @t640 () (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t639 (tptp.c_Message_Omsg_OMPair @t638 tptp.v_X)))) % 2.24/2.44 (define @t641 () (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K_H @t640)) @t637 tptp.tc_Event_Oevent))) % 2.24/2.44 (define @t642 () (forall (@list @t423) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t423 @t638))) @t637 tptp.tc_Event_Oevent))))) % 2.24/2.44 (define @t643 () (tptp.hBOOL (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) % 2.24/2.44 (define @t644 () (tptp.hBOOL (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent))) % 2.24/2.44 (define @t645 () (tptp.hBOOL (tptp.c_in tptp.v_evs tptp.c_NS__Shared__Mirabelle_Ons__shared @t377))) % 2.24/2.44 (define @t646 () (tptp.hBOOL (tptp.c_in @t638 (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) % 2.24/2.44 (define @t647 () (@var "T_1" $$unsorted)) % 2.24/2.44 (define @t648 () (not (tptp.class_Lattices_Olattice @t647))) % 2.24/2.44 (define @t649 () (@var "T_2" $$unsorted)) % 2.24/2.44 (define @t650 () (tptp.tc_fun @t649 @t647)) % 2.24/2.44 (define @t651 () (@list @t649 @t647)) % 2.24/2.44 (define @t652 () (not @t641)) % 2.24/2.44 (define @t653 () (not @t645)) % 2.24/2.44 (define @t654 () (tptp.hAPP tptp.c_Public_OshrK tptp.v_A)) % 2.24/2.44 (define @t655 () (or (= @t654 tptp.v_K_H) @t653 @t652)) % 2.24/2.44 (define @t656 () (forall @t616 (or (= @t432 @t552) @t381 @t596))) % 2.24/2.44 (define @t657 () (= tptp.v_K_H @t654)) % 2.24/2.44 (define @t658 () (or @t657 @t653 @t652)) % 2.24/2.44 (define @t659 () (@list false false false)) % 2.24/2.44 (define @t660 () (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair @t638 (tptp.c_Message_Omsg_OAgent tptp.v_A)))) % 2.24/2.44 (define @t661 () (= tptp.v_X @t660)) % 2.24/2.44 (define @t662 () (or @t661 @t653 @t652)) % 2.24/2.44 (define @t663 () (tptp.c_Message_Omsg_OMPair @t638 @t660)) % 2.24/2.44 (define @t664 () (tptp.c_Message_Omsg_OMPair @t639 @t663)) % 2.24/2.44 (define @t665 () (tptp.c_Message_Omsg_OMPair tptp.v_NA @t664)) % 2.24/2.44 (define @t666 () (tptp.c_Message_Omsg_OCrypt @t654 @t665)) % 2.24/2.44 (define @t667 () (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A @t666)) % 2.24/2.44 (define @t668 () (tptp.c_in @t667 @t637 tptp.tc_Event_Oevent)) % 2.24/2.44 (define @t669 () (tptp.hBOOL @t668)) % 2.24/2.44 (define @t670 () (not @t669)) % 2.24/2.44 (define @t671 () (tptp.v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 tptp.v_K tptp.v_NA tptp.v_evs)) % 2.24/2.44 (define @t672 () (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t671 @t638))) @t637 tptp.tc_Event_Oevent))) % 2.24/2.44 (define @t673 () (not @t646)) % 2.24/2.44 (define @t674 () (or @t673 @t672 @t653 @t644 @t643 @t670)) % 2.24/2.44 (assume @p1 (forall @t3 (not (= @t2 tptp.c_Message_Oagent_OServer)))) % 2.24/2.44 (assume @p2 (forall @t3 (not (= tptp.c_Message_Oagent_OServer @t2)))) % 2.24/2.44 (assume @p3 (forall @t6 (not (= tptp.c_Message_Oagent_OSpy @t5)))) % 2.24/2.44 (assume @p4 (forall @t6 (not (= @t5 tptp.c_Message_Oagent_OSpy)))) % 2.24/2.44 (assume @p5 (forall @t8 (or (not (= @t5 @t2)) @t7))) % 2.24/2.44 (assume @p6 (forall @t17 (= (tptp.c_Message_Oparts @t16) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t12 @t9)))) % 2.24/2.44 (assume @p7 (forall @t17 (or (tptp.c_lessequals @t15 @t18 @t9) (not @t19)))) % 2.24/2.44 (assume @p8 (forall @t23 (= (tptp.c_Message_Oparts @t22) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 (tptp.c_Message_Oparts @t21) @t9)))) % 2.24/2.44 (assume @p9 (forall (@list @t29) (= (tptp.c_Event_OinitState @t30) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Message_OinvKey (tptp.hAPP @t27 @t30))) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Message_OinvKey (tptp.hAPP @t25 @t30))) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK @t30)) @t13 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) @t28 @t9) @t26 @t9)))) % 2.24/2.44 (assume @p10 (forall @t32 (not (tptp.hBOOL (tptp.c_in @t14 @t31 tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p11 (forall (@list @t35 @t33) (or (not (= @t39 @t38)) @t36))) % 2.24/2.44 (assume @p12 (forall @t41 (= @t38 @t40))) % 2.24/2.44 (assume @p13 (forall (@list @t33 @t35) (or (not (= @t38 @t39)) @t36))) % 2.24/2.44 (assume @p14 (forall @t41 (= @t40 @t38))) % 2.24/2.44 (assume @p15 (forall @t44 (tptp.hBOOL (tptp.c_in @t42 @t43 @t33)))) % 2.24/2.44 (assume @p16 (forall (@list @t47 @t45 @t33) (or (= @t47 @t45) (not (tptp.hBOOL (tptp.c_in @t47 @t46 @t33)))))) % 2.24/2.44 (assume @p17 (forall @t49 (or (not (= (tptp.c_Set_Oinsert @t42 @t48 @t33) @t38)) (tptp.hBOOL (tptp.c_in @t42 @t48 @t33))))) % 2.24/2.44 (assume @p18 (forall @t41 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t38 @t37) @t38))) % 2.24/2.44 (assume @p19 (forall (@list @t20 @t42 @t33) (or (= @t20 @t43) @t50 (not (tptp.c_lessequals @t20 @t43 @t37))))) % 2.24/2.44 (assume @p20 (forall @t52 (or @t50 (not (tptp.c_lessequals @t20 @t51 @t37))))) % 2.24/2.44 (assume @p21 (forall @t57 (= @t56 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t54 @t9)))) % 2.24/2.44 (assume @p22 (forall (@list @t62 @t20 @t58 @t33) (or (not (= @t63 @t38)) @t61))) % 2.24/2.44 (assume @p23 (forall @t41 (= @t65 @t64))) % 2.24/2.44 (assume @p24 (forall @t41 (or @t68 (= (tptp.c_HOL_Ouminus__class_Ouminus @t67 @t33) @t66)))) % 2.24/2.44 (assume @p25 (forall (@list @t33 @t45 @t20) (not (= @t38 @t69)))) % 2.24/2.44 (assume @p26 (forall @t41 (tptp.c_lessequals @t38 @t38 @t37))) % 2.24/2.44 (assume @p27 (forall @t52 (or @t50 (not (tptp.c_lessequals @t20 @t38 @t37))))) % 2.24/2.44 (assume @p28 (= (tptp.hAPP @t70 tptp.v_x) (tptp.c_in tptp.v_x @t70 tptp.t_a))) % 2.24/2.44 (assume @p29 (forall @t77 (or @t76 @t74 @t72))) % 2.24/2.44 (assume @p30 (forall @t77 (or @t76 @t78 @t72))) % 2.24/2.44 (assume @p31 (forall @t77 (or @t76 @t74 @t79))) % 2.24/2.44 (assume @p32 (forall @t77 (or @t76 @t78 @t79))) % 2.24/2.44 (assume @p33 (forall @t41 (not (= @t64 @t38)))) % 2.24/2.44 (assume @p34 (forall @t80 (not (tptp.hBOOL (tptp.hAPP @t38 @t42))))) % 2.24/2.44 (assume @p35 (forall @t41 (= (tptp.c_HOL_Ouminus__class_Ouminus @t64 @t37) @t38))) % 2.24/2.44 (assume @p36 (forall @t41 (or @t68 (= (tptp.c_HOL_Ouminus__class_Ouminus @t66 @t33) @t67)))) % 2.24/2.44 (assume @p37 (forall @t52 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t38 @t37) @t20))) % 2.24/2.44 (assume @p38 (forall @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t81 @t37) @t81))) % 2.24/2.44 (assume @p39 (forall @t80 (or @t83 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t67 @t42 @t33) @t42)))) % 2.24/2.44 (assume @p40 (forall @t80 (or @t83 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t67 @t33) @t42)))) % 2.24/2.44 (assume @p41 (forall @t41 (tptp.c_lessequals @t38 @t65 @t37))) % 2.24/2.44 (assume @p42 (forall @t84 (not (= @t69 @t38)))) % 2.24/2.44 (assume @p43 (forall @t80 (or (not (tptp.class_Orderings_Obot @t33)) (tptp.c_lessequals @t67 @t42 @t33)))) % 2.24/2.44 (assume @p44 (forall @t85 (tptp.c_lessequals @t38 @t20 @t37))) % 2.24/2.44 (assume @p45 (forall (@list @t33 @t62 @t20 @t58) (or (not (= @t38 @t63)) @t61))) % 2.24/2.44 (assume @p46 (forall @t87 (or (not (tptp.class_Orderings_Obot @t58)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t86) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t58))))) % 2.24/2.44 (assume @p47 (forall @t91 (= @t90 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 (tptp.c_Message_Oparts (tptp.c_Set_Oinsert @t88 @t13 tptp.tc_Message_Omsg)) @t9) @t54 @t9)))) % 2.24/2.44 (assume @p48 (forall (@list @t48 @t42 @t33) (= (tptp.c_Set_Oinsert @t48 @t43 @t33) (tptp.c_Set_Oinsert @t42 (tptp.c_Set_Oinsert @t48 @t38 @t33) @t33)))) % 2.24/2.44 (assume @p49 (forall (@list @t62 @t58 @t33) (= @t92 @t38))) % 2.24/2.44 (assume @p50 (forall (@list @t45 @t33 @t47) (or (not (= @t46 @t75)) @t93))) % 2.24/2.44 (assume @p51 (= @t31 @t13)) % 2.24/2.44 (assume @p52 (forall @t96 (or @t95 (= @t81 @t38)))) % 2.24/2.44 (assume @p53 (forall @t96 (or @t95 @t50))) % 2.24/2.44 (assume @p54 (forall @t98 (or @t83 @t97 (= @t20 @t67)))) % 2.24/2.44 (assume @p55 (forall @t98 (or @t83 @t97 (= @t81 @t67)))) % 2.24/2.44 (assume @p56 (forall @t84 (= @t69 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t46 @t20 @t37)))) % 2.24/2.44 (assume @p57 (forall (@list @t33 @t62 @t58) (= @t38 @t92))) % 2.24/2.44 (assume @p58 (forall @t44 @t99)) % 2.24/2.44 (assume @p59 (forall @t102 (or @t101 @t99))) % 2.24/2.44 (assume @p60 (forall (@list @t73 @t33) (not (tptp.hBOOL (tptp.c_in @t73 @t38 @t33))))) % 2.24/2.44 (assume @p61 (forall (@list @t45 @t33) (not (tptp.hBOOL (tptp.c_in @t45 @t38 @t33))))) % 2.24/2.44 (assume @p62 (forall @t102 (or @t103 @t99))) % 2.24/2.44 (assume @p63 (= (tptp.c_Message_Oanalz @t13) @t13)) % 2.24/2.44 (assume @p64 (forall (@list @t73 @t53 @t14) (or (tptp.hBOOL (tptp.c_in @t73 @t108 tptp.tc_Message_Omsg)) @t107 (not (tptp.hBOOL (tptp.c_in @t73 @t15 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p65 (forall @t112 (= (tptp.c_Event_Oused @t111) @t109))) % 2.24/2.44 (assume @p66 (forall @t115 (= (tptp.c_Event_Oused @t114) @t109))) % 2.24/2.44 (assume @p67 (forall @t57 (or (tptp.c_lessequals @t15 @t108 @t9) @t107))) % 2.24/2.44 (assume @p68 (= (tptp.c_Event_OinitState tptp.c_Message_Oagent_OServer) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Message_OinvKey (tptp.hAPP @t27 tptp.c_Message_Oagent_OServer))) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Message_OinvKey (tptp.hAPP @t25 tptp.c_Message_Oagent_OServer))) @t13 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) @t28 @t9) @t26 @t9) (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey @t116 tptp.tc_nat tptp.tc_Message_Omsg) @t9))) % 2.24/2.44 (assume @p69 (not (= tptp.c_Public_Okeymode_OSignature tptp.c_Public_Okeymode_OEncryption))) % 2.24/2.44 (assume @p70 (forall (@list @t100 @t117) (or (tptp.hBOOL (tptp.hAPP @t100 @t117)) (not (tptp.hBOOL (tptp.hAPP @t100 tptp.c_Public_Okeymode_OEncryption))) (not (tptp.hBOOL (tptp.hAPP @t100 tptp.c_Public_Okeymode_OSignature)))))) % 2.24/2.44 (assume @p71 (not (= tptp.c_Public_Okeymode_OEncryption tptp.c_Public_Okeymode_OSignature))) % 2.24/2.44 (assume @p72 (= @t118 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey (tptp.c_Set_Oimage tptp.c_Message_OinvKey (tptp.c_Set_Oimage @t27 tptp.c_Event_Obad tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Message_Omsg) (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey (tptp.c_Set_Oimage tptp.c_Message_OinvKey (tptp.c_Set_Oimage @t25 tptp.c_Event_Obad tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat tptp.tc_nat) tptp.tc_nat tptp.tc_Message_Omsg) @t9) (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey (tptp.c_Set_Oimage tptp.c_Public_OshrK tptp.c_Event_Obad tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat tptp.tc_Message_Omsg) @t9) @t28 @t9) @t26 @t9))) % 2.24/2.44 (assume @p73 (forall (@list @t81 @t42 @t20 @t33) (or @t121 @t120 (not @t119)))) % 2.24/2.44 (assume @p74 (forall (@list @t81 @t45 @t33) (tptp.c_lessequals @t81 @t122 @t37))) % 2.24/2.44 (assume @p75 (forall @t128 (tptp.c_lessequals @t127 @t125 @t9))) % 2.24/2.44 (assume @p76 (forall @t52 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t64 @t37) @t64))) % 2.24/2.44 (assume @p77 (forall @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t64 @t81 @t37) @t64))) % 2.24/2.44 (assume @p78 (forall @t80 (or @t83 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t66 @t42 @t33) @t66)))) % 2.24/2.44 (assume @p79 (forall @t80 (or @t83 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t66 @t33) @t66)))) % 2.24/2.44 (assume @p80 (forall @t128 (or @t132 @t129))) % 2.24/2.44 (assume @p81 (forall @t137 (or @t136 @t134))) % 2.24/2.44 (assume @p82 (forall @t138 (or @t133 (not @t136)))) % 2.24/2.44 (assume @p83 (forall (@list @t81 @t33 @t20) (or (tptp.c_lessequals @t135 @t51 @t37) @t140))) % 2.24/2.44 (assume @p84 (forall @t146 (or @t145 @t144 (not @t141)))) % 2.24/2.44 (assume @p85 (forall @t147 (or @t145 @t141 (not @t144)))) % 2.24/2.44 (assume @p86 (forall (@list @t20 @t45 @t81 @t33) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t122 @t37) (tptp.c_Set_Oinsert @t45 @t94 @t33)))) % 2.24/2.44 (assume @p87 (forall (@list @t45 @t81 @t33 @t148) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t122 @t148 @t37) (tptp.c_Set_Oinsert @t45 @t149 @t33)))) % 2.24/2.44 (assume @p88 (forall (@list @t20 @t47 @t81 @t33) (or (tptp.c_lessequals @t20 @t150 @t37) @t140))) % 2.24/2.44 (assume @p89 (forall @t154 (or @t139 @t153))) % 2.24/2.44 (assume @p90 (forall @t128 (or @t155 @t129))) % 2.24/2.44 (assume @p91 (forall (@list @t58 @t62 @t156) (or (not (tptp.class_Lattices_Olattice @t58)) (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t156 @t86) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t62 tptp.v_x) (tptp.hAPP @t156 tptp.v_x) @t58))))) % 2.24/2.44 (assume @p92 (forall @t52 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t20 @t37) @t20))) % 2.24/2.44 (assume @p93 (forall @t80 (or @t157 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t42 @t33) @t42)))) % 2.24/2.44 (assume @p94 (forall @t128 (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup @t159 @t104 @t9) @t158 @t9))) % 2.24/2.44 (assume @p95 (forall @t128 (tptp.c_lessequals @t125 @t127 @t9))) % 2.24/2.44 (assume @p96 (forall @t128 (or @t132 @t161))) % 2.24/2.44 (assume @p97 (forall @t128 (or @t160 (not @t132)))) % 2.24/2.44 (assume @p98 (forall @t163 (= @t162 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t81 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t148 @t37) @t37)))) % 2.24/2.44 (assume @p99 (forall @t165 (= @t164 @t162))) % 2.24/2.44 (assume @p100 (forall @t172 (or @t157 @t171))) % 2.24/2.44 (assume @p101 (forall @t172 (or @t157 @t173))) % 2.24/2.44 (assume @p102 (forall @t163 (= @t162 @t164))) % 2.24/2.44 (assume @p103 (forall @t172 (or @t174 @t173))) % 2.24/2.44 (assume @p104 (forall @t172 (or @t174 @t171))) % 2.24/2.44 (assume @p105 (forall @t165 (or @t179 @t178 @t176))) % 2.24/2.44 (assume @p106 (forall @t138 (tptp.c_lessequals @t81 @t94 @t37))) % 2.24/2.44 (assume @p107 (forall @t96 (tptp.c_lessequals @t20 @t94 @t37))) % 2.24/2.44 (assume @p108 (forall (@list @t33 @t45 @t47 @t42) (or @t157 @t183 (not @t181) (not @t180)))) % 2.24/2.44 (assume @p109 (forall @t185 (or @t157 @t184))) % 2.24/2.44 (assume @p110 (forall @t187 (or @t157 @t186))) % 2.24/2.44 (assume @p111 (forall @t191 (or @t157 (tptp.c_lessequals @t168 @t42 @t33) (not @t190) @t189))) % 2.24/2.44 (assume @p112 (forall @t172 (or @t157 @t195 @t194 (not @t192)))) % 2.24/2.44 (assume @p113 (forall @t187 (or @t174 @t186))) % 2.24/2.44 (assume @p114 (forall @t185 (or @t174 @t184))) % 2.24/2.44 (assume @p115 (forall @t52 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t51 @t20 @t37) @t64))) % 2.24/2.44 (assume @p116 (forall @t52 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t51 @t37) @t64))) % 2.24/2.44 (assume @p117 (forall @t80 (or @t68 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t196 @t42 @t33) @t66)))) % 2.24/2.44 (assume @p118 (forall @t80 (or @t68 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t196 @t33) @t66)))) % 2.24/2.44 (assume @p119 (forall @t200 (not (= @t199 @t197)))) % 2.24/2.44 (assume @p120 (forall @t96 (= @t94 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t81 @t20 @t37)))) % 2.24/2.44 (assume @p121 (forall @t185 (or @t157 @t201))) % 2.24/2.44 (assume @p122 (forall @t185 (or @t174 @t201))) % 2.24/2.44 (assume @p123 (forall @t128 (or @t155 @t203))) % 2.24/2.44 (assume @p124 (forall @t128 (or @t202 (not @t155)))) % 2.24/2.44 (assume @p125 (forall @t96 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t94 @t37) @t94))) % 2.24/2.44 (assume @p126 (forall @t185 (or @t157 @t204))) % 2.24/2.44 (assume @p127 (forall @t185 (or @t174 @t204))) % 2.24/2.44 (assume @p128 (forall @t128 (or (tptp.c_lessequals (tptp.c_Message_OkeysFor @t123) @t206 @t205) @t129))) % 2.24/2.44 (assume @p129 (forall @t52 (= (tptp.c_HOL_Ouminus__class_Ouminus @t51 @t37) @t20))) % 2.24/2.44 (assume @p130 (forall @t209 (or @t208 (= @t207 @t45)))) % 2.24/2.44 (assume @p131 (forall @t80 (or @t68 (= (tptp.c_HOL_Ouminus__class_Ouminus @t196 @t33) @t42)))) % 2.24/2.44 (assume @p132 (forall @t211 (or @t208 (= @t47 @t210)))) % 2.24/2.44 (assume @p133 (forall @t209 (or @t208 (= @t45 @t207)))) % 2.24/2.44 (assume @p134 (forall @t211 (or @t208 (= @t210 @t47)))) % 2.24/2.44 (assume @p135 (forall (@list @t58 @t62 @t42 @t156 @t33) (or (not (tptp.class_HOL_Oord @t58)) (tptp.c_lessequals @t212 (tptp.hAPP @t156 @t42) @t58) (not (tptp.c_lessequals @t62 @t156 (tptp.tc_fun @t33 @t58)))))) % 2.24/2.44 (assume @p136 (forall @t146 (or @t145 @t214 (not @t213)))) % 2.24/2.44 (assume @p137 (forall @t147 (or @t145 @t213 (not @t214)))) % 2.24/2.44 (assume @p138 (forall @t146 (or @t145 @t216 (not @t215)))) % 2.24/2.44 (assume @p139 (forall @t147 (or @t145 @t215 (not @t216)))) % 2.24/2.44 (assume @p140 (forall (@list @t217 @t81 @t33 @t20) (or (tptp.hBOOL (tptp.c_in @t217 @t81 @t33)) (not (tptp.hBOOL (tptp.c_in @t217 @t20 @t33))) @t140))) % 2.24/2.44 (assume @p141 (forall @t221 (or @t220 @t140 @t219))) % 2.24/2.44 (assume @p142 (forall @t225 (or @t224 @t223 @t140))) % 2.24/2.44 (assume @p143 (forall @t221 (or @t220 @t219 @t140))) % 2.24/2.44 (assume @p144 (forall @t227 (or @t226 @t223))) % 2.24/2.44 (assume @p145 (forall @t227 (or @t226 (not @t224)))) % 2.24/2.44 (assume @p146 (forall @t225 (or @t224 @t222 (not @t226)))) % 2.24/2.44 (assume @p147 (forall @t229 (or @t228 @t222))) % 2.24/2.44 (assume @p148 (forall @t229 (or @t223 (not @t228)))) % 2.24/2.44 (assume @p149 (forall (@list @t233 @t232 @t230) (not (= @t234 @t231)))) % 2.24/2.44 (assume @p150 (forall (@list @t230 @t233 @t232) (not (= @t231 @t234)))) % 2.24/2.44 (assume @p151 (forall (@list @t230 @t1 @t198) (not (= @t231 @t235)))) % 2.24/2.44 (assume @p152 (forall (@list @t1 @t198 @t230) (not (= @t235 @t231)))) % 2.24/2.44 (assume @p153 (forall @t200 (not (= @t199 @t236)))) % 2.24/2.44 (assume @p154 (forall @t237 (not (= @t236 @t199)))) % 2.24/2.44 (assume @p155 (forall @t128 (or @t238 @t129))) % 2.24/2.44 (assume @p156 (forall @t128 (or @t238 @t240))) % 2.24/2.44 (assume @p157 (forall @t128 (or @t239 (not @t238)))) % 2.24/2.44 (assume @p158 (forall @t241 (tptp.c_lessequals @t53 @t104 @t9))) % 2.24/2.44 (assume @p159 (forall @t128 (= (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup @t159 @t53 @t9)) @t158))) % 2.24/2.44 (assume @p160 (forall (@list @t53 @t242 @t123 @t243) (or @t247 (not (= @t159 @t245)) (= @t158 @t244)))) % 2.24/2.44 (assume @p161 (forall (@list @t198 @t248) (not (= @t199 @t249)))) % 2.24/2.44 (assume @p162 (forall (@list @t248 @t198) (not (= @t249 @t199)))) % 2.24/2.44 (assume @p163 (forall @t57 (or (tptp.c_lessequals @t56 @t108 @t9) @t107))) % 2.24/2.44 (assume @p164 (forall @t252 (tptp.c_lessequals @t251 @t18 @t9))) % 2.24/2.44 (assume @p165 (forall (@list @t88 @t123 @t53 @t14) (or (tptp.hBOOL (tptp.c_in @t88 @t127 tptp.tc_Message_Omsg)) @t256 (not (tptp.hBOOL (tptp.c_in @t88 @t254 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p166 (forall (@list @t14 @t123 @t53) (or (= @t260 @t159) @t259 @t258))) % 2.24/2.44 (assume @p167 (forall @t268 @t267)) % 2.24/2.44 (assume @p168 (forall (@list @t14 @t20) (not (tptp.hBOOL (tptp.c_in @t270 @t269 tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p169 (forall @t275 (or @t274 (not (tptp.hBOOL (tptp.c_in @t271 @t20 @t33)))))) % 2.24/2.44 (assume @p170 (forall @t282 (or @t101 (tptp.hBOOL (tptp.hAPP @t100 @t281)) @t280 @t278))) % 2.24/2.44 (assume @p171 (forall @t154 (or @t119 (not @t121)))) % 2.24/2.44 (assume @p172 (forall @t154 (or @t119 @t283))) % 2.24/2.44 (assume @p173 (forall @t241 (tptp.c_lessequals @t53 @t54 @t9))) % 2.24/2.44 (assume @p174 (forall @t128 (= @t127 @t125))) % 2.24/2.44 (assume @p175 (forall @t128 (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup @t131 @t130 @t9) (tptp.c_Message_Osynth @t126) @t9))) % 2.24/2.44 (assume @p176 (forall @t185 (or @t68 (not (= @t196 (tptp.c_HOL_Ouminus__class_Ouminus @t167 @t33))) @t284))) % 2.24/2.44 (assume @p177 (forall @t147 (or @t208 (not (= @t142 @t143)) @t93))) % 2.24/2.44 (assume @p178 (forall @t137 (or (not (= @t51 @t135)) @t285))) % 2.24/2.44 (assume @p179 (forall @t96 (or @t285 @t134 @t140))) % 2.24/2.44 (assume @p180 (forall @t185 (or @t288 @t284 @t189 @t287))) % 2.24/2.44 (assume @p181 (forall @t185 (or @t288 @t284 @t287 @t189))) % 2.24/2.44 (assume @p182 (forall @t185 (or @t157 (= @t170 @t42) @t189))) % 2.24/2.44 (assume @p183 (forall @t185 (or @t157 (not @t289) @t286))) % 2.24/2.44 (assume @p184 (forall @t185 (or @t157 @t289 @t287))) % 2.24/2.44 (assume @p185 (forall @t96 (or @t290 @t140))) % 2.24/2.44 (assume @p186 (forall @t96 (or (= @t94 @t20) @t134))) % 2.24/2.44 (assume @p187 (forall @t96 (or (not @t290) @t139))) % 2.24/2.44 (assume @p188 (or (not (tptp.class_HOL_Ouminus tptp.t_b)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus tptp.v_A (tptp.tc_fun tptp.t_a tptp.t_b)) tptp.v_x) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP tptp.v_A tptp.v_x) tptp.t_b)))) % 2.24/2.44 (assume @p189 (forall (@list @t230 @t198) (or (not (= @t231 @t199)) @t291))) % 2.24/2.44 (assume @p190 (forall (@list @t62 @t20 @t58 @t33 @t81) (= @t294 @t292))) % 2.24/2.44 (assume @p191 (forall (@list @t20 @t81 @t33 @t148 @t295) (or (tptp.c_lessequals @t94 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t148 @t295 @t37) @t37) (not (tptp.c_lessequals @t81 @t295 @t37)) @t176))) % 2.24/2.44 (assume @p192 (forall @t52 (tptp.c_lessequals @t20 @t64 @t37))) % 2.24/2.44 (assume @p193 (forall @t80 (or (not (tptp.class_Orderings_Otop @t33)) (tptp.c_lessequals @t42 @t66 @t33)))) % 2.24/2.44 (assume @p194 (forall (@list @t58 @t20) (or (not (tptp.class_HOL_Ouminus @t58)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus @t20 @t86) tptp.v_x) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP @t20 tptp.v_x) @t58))))) % 2.24/2.44 (assume @p195 (forall @t241 (tptp.c_lessequals @t53 @t130 @t9))) % 2.24/2.44 (assume @p196 (forall @t191 (or @t157 @t193 @t296))) % 2.24/2.44 (assume @p197 (forall @t297 (or @t157 @t192 @t296))) % 2.24/2.44 (assume @p198 (forall @t299 (or @t157 @t298 (not (tptp.c_lessequals @t42 @t47 @t33))))) % 2.24/2.44 (assume @p199 (forall @t299 (or @t157 @t298 (not (tptp.c_lessequals @t42 @t45 @t33))))) % 2.24/2.44 (assume @p200 (forall (@list @t33 @t47 @t42 @t45) (or @t157 @t181 @t300))) % 2.24/2.44 (assume @p201 (forall (@list @t33 @t45 @t42 @t47) (or @t157 @t180 @t300))) % 2.24/2.44 (assume @p202 (forall @t302 (or @t175 @t301))) % 2.24/2.44 (assume @p203 (forall (@list @t81 @t148 @t33 @t20) (or @t177 @t301))) % 2.24/2.44 (assume @p204 (forall (@list @t33 @t166 @t42 @t167) (or @t288 @t190 (not (tptp.c_lessequals @t166 @t167 @t33)) @t189))) % 2.24/2.44 (assume @p205 (forall @t297 (or @t303 @t192 @t194 @t287))) % 2.24/2.44 (assume @p206 (forall @t44 (tptp.c_lessequals @t42 @t42 @t37))) % 2.24/2.44 (assume @p207 (forall @t52 (tptp.c_lessequals @t20 @t20 @t37))) % 2.24/2.44 (assume @p208 (forall @t302 (or @t175 @t178 @t140))) % 2.24/2.44 (assume @p209 (forall @t307 (or @t306 @t103 @t305))) % 2.24/2.44 (assume @p210 (forall @t80 (or @t288 @t308))) % 2.24/2.44 (assume @p211 (forall @t80 (or @t303 @t308))) % 2.24/2.44 (assume @p212 (forall @t307 (or @t306 @t305 @t103))) % 2.24/2.44 (assume @p213 (forall @t57 (= (tptp.c_Message_OkeysFor @t309) @t206))) % 2.24/2.44 (assume @p214 (forall (@list @t62 @t20 @t33 @t58 @t81) (or (tptp.c_lessequals @t310 (tptp.c_Set_Oimage @t62 @t81 @t33 @t58) @t59) @t140))) % 2.24/2.44 (assume @p215 (forall @t311 (or (not (tptp.c_lessequals @t42 @t20 @t59)) (tptp.c_lessequals (tptp.c_Set_Oimage @t62 @t42 @t58 @t33) @t63 @t37)))) % 2.24/2.44 (assume @p216 (forall (@list @t45 @t148 @t33 @t295) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t45 @t148 @t33) (tptp.c_Set_Oinsert @t45 @t295 @t33) @t37) (not (tptp.c_lessequals @t148 @t295 @t37))))) % 2.24/2.44 (assume @p217 (forall (@list @t62 @t20 @t81 @t58 @t33) (= @t292 @t294))) % 2.24/2.44 (assume @p218 (forall @t237 (not (= @t197 @t199)))) % 2.24/2.44 (assume @p219 (forall (@list @t123 @t53 @t243 @t242) (or (tptp.c_lessequals @t158 @t244 @t9) (not (tptp.c_lessequals @t104 @t246 @t9)) (not (tptp.c_lessequals @t159 @t245 @t9))))) % 2.24/2.44 (assume @p220 (forall @t187 (or (not (tptp.class_Orderings_Olinorder @t33)) @t188 @t286))) % 2.24/2.44 (assume @p221 (forall @t312 (or (tptp.c_lessequals @t56 @t125 @t9) (not (tptp.hBOOL (tptp.c_in @t14 @t123 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p222 (forall @t317 (or (tptp.hBOOL (tptp.c_in @t262 @t206 tptp.tc_nat)) @t316 @t314))) % 2.24/2.44 (assume @p223 (forall @t319 (not (tptp.hBOOL (tptp.c_in @t318 tptp.c_Message_OsymKeys tptp.tc_nat))))) % 2.24/2.44 (assume @p224 (forall @t154 (or @t139 @t322 @t218))) % 2.24/2.44 (assume @p225 (forall (@list @t20 @t42 @t81 @t33) (or @t321 @t140 @t218))) % 2.24/2.44 (assume @p226 (forall @t154 (or @t139 @t218 @t322))) % 2.24/2.44 (assume @p227 (forall @t221 (or @t220 @t153))) % 2.24/2.44 (assume @p228 (forall @t323 (or @t152 @t140 (not @t220)))) % 2.24/2.44 (assume @p229 (forall (@list @t62 @t42 @t81 @t33 @t20 @t58) (or (tptp.hBOOL (tptp.c_in @t212 @t81 @t33)) @t324 (not (tptp.c_lessequals @t63 @t81 @t37))))) % 2.24/2.44 (assume @p230 (forall (@list @t35 @t33 @t42) (tptp.c_lessequals @t39 @t326 @t37))) % 2.24/2.44 (assume @p231 (forall (@list @t73 @t53 @t123) (or @t328 @t327 (not (tptp.hBOOL (tptp.c_in @t73 @t127 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p232 (forall @t312 (or @t255 @t203 (not (tptp.hBOOL (tptp.c_in @t14 @t124 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p233 (forall (@list @t73 @t20 @t123) (or (tptp.hBOOL (tptp.c_in @t73 (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t123 @t9)) tptp.tc_Message_Omsg)) @t329))) % 2.24/2.44 (assume @p234 (forall @t312 (or @t257 @t240 (not (tptp.hBOOL (tptp.c_in @t14 @t159 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p235 (forall @t87 (or (not (tptp.class_Orderings_Otop @t58)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t86) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t58))))) % 2.24/2.44 (assume @p236 (forall @t91 (= (tptp.c_Message_OkeysFor @t331) @t206))) % 2.24/2.44 (assume @p237 (forall @t241 (tptp.c_lessequals @t104 @t54 @t9))) % 2.24/2.44 (assume @p238 (forall @t57 (or @t333 (tptp.hBOOL (tptp.c_in @t270 @t53 tptp.tc_Message_Omsg)) (not @t332)))) % 2.24/2.44 (assume @p239 (forall @t312 (or @t333 @t161 (not (tptp.hBOOL (tptp.c_in @t14 @t131 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p240 (forall @t57 (or @t332 @t334))) % 2.24/2.44 (assume @p241 (forall @t57 (= (tptp.c_Message_Oparts @t309) (tptp.c_Set_Oinsert @t270 @t54 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p242 (forall @t57 (tptp.c_lessequals (tptp.c_Set_Oinsert @t14 @t54 tptp.tc_Message_Omsg) @t56 @t9))) % 2.24/2.44 (assume @p243 (forall @t312 (or (tptp.c_lessequals @t261 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t335 @t158 @t9) @t9) (not (tptp.hBOOL (tptp.c_in @t14 @t335 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p244 (forall (@list @t14 @t262 @t338 @t20) (= (tptp.c_Set_Oinsert @t336 (tptp.c_Set_Oinsert @t339 @t20 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert @t339 @t337 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p245 (forall @t241 (= (tptp.c_Message_Oparts @t130) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 @t130 @t9)))) % 2.24/2.44 (assume @p246 (forall @t342 (= (tptp.c_Message_OkeysFor @t341) @t206))) % 2.24/2.44 (assume @p247 (forall @t344 (= (tptp.c_Set_Oinsert @t340 (tptp.c_Set_Oinsert @t270 @t20 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert @t270 @t343 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p248 (forall @t57 (= (tptp.c_Message_Oanalz @t309) (tptp.c_Set_Oinsert @t270 @t104 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p249 (forall @t57 (tptp.c_lessequals (tptp.c_Set_Oinsert @t14 @t104 tptp.tc_Message_Omsg) @t261 @t9))) % 2.24/2.44 (assume @p250 (forall @t128 (or (tptp.c_lessequals @t335 @t105 @t9) @t129))) % 2.24/2.44 (assume @p251 (forall @t241 (= (tptp.c_Message_Oanalz @t130) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t104 @t130 @t9)))) % 2.24/2.44 (assume @p252 (forall @t128 (= (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup @t131 @t53 @t9)) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t158 @t131 @t9)))) % 2.24/2.44 (assume @p253 (forall @t57 (tptp.c_lessequals (tptp.c_Set_Oinsert @t14 @t130 tptp.tc_Message_Omsg) @t345 @t9))) % 2.24/2.44 (assume @p254 (forall @t347 (= (tptp.c_Message_OkeysFor (tptp.c_Set_Oinsert @t346 @t53 tptp.tc_Message_Omsg)) @t206))) % 2.24/2.44 (assume @p255 (forall (@list @t45 @t20) (or (= @t45 (tptp.c_List_Olist_OCons @t351 @t350 tptp.t_a)) @t349 @t348))) % 2.24/2.44 (assume @p256 (forall @t282 (or @t101 (not (tptp.hBOOL (tptp.hAPP @t100 (tptp.c_List_Olist_OCons @t353 @t352 tptp.t_a)))) @t280 @t278))) % 2.24/2.44 (assume @p257 (forall @t282 (or @t101 (not (tptp.hBOOL (tptp.hAPP @t100 (tptp.c_List_Olist_OCons @t354 @t281 tptp.t_a)))) @t280 @t278))) % 2.24/2.44 (assume @p258 (forall @t358 (= (tptp.c_Message_OkeysFor @t357) @t206))) % 2.24/2.44 (assume @p259 (forall @t32 (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Public_OshrK @t14) tptp.c_Message_OsymKeys tptp.tc_nat)))) % 2.24/2.44 (assume @p260 (forall @t361 (or @t360 (not @t359)))) % 2.24/2.44 (assume @p261 (forall @t361 (or @t359 @t362))) % 2.24/2.44 (assume @p262 (forall @t365 (or @t315 (not @t364)))) % 2.24/2.44 (assume @p263 (forall @t365 (or @t364 @t316))) % 2.24/2.44 (assume @p264 (forall @t365 (or (= @t363 @t262) @t316))) % 2.24/2.44 (assume @p265 (forall @t368 (not (tptp.hBOOL (tptp.c_in @t367 tptp.c_Message_OsymKeys tptp.tc_nat))))) % 2.24/2.44 (assume @p266 (forall (@list @t20 @t10 @t369) (tptp.c_lessequals @t21 (tptp.c_Event_Oknows @t20 (tptp.c_List_Olist_OCons @t369 @t10 tptp.tc_Event_Oevent)) @t9))) % 2.24/2.44 (assume @p267 (forall @t371 (tptp.c_lessequals @t370 @t21 @t9))) % 2.24/2.44 (assume @p268 (forall @t282 (or @t101 (tptp.hBOOL (tptp.hAPP @t100 @t352)) @t280 @t278))) % 2.24/2.44 (assume @p269 (forall @t282 (or @t101 (tptp.hBOOL (tptp.c_in @t352 @t277 @t276)) @t280 @t278))) % 2.24/2.44 (assume @p270 (forall @t282 (or @t101 (tptp.hBOOL (tptp.c_in @t281 @t277 @t276)) @t280 @t278))) % 2.24/2.44 (assume @p271 (forall @t372 (or (tptp.hBOOL (tptp.c_in @t350 @t277 @t276)) @t349 @t348))) % 2.24/2.44 (assume @p272 (forall @t368 (not (tptp.hBOOL (tptp.c_in @t373 tptp.c_Message_OsymKeys tptp.tc_nat))))) % 2.24/2.44 (assume @p273 (forall (@list @t20 @t10 @t374 @t81 @t14) (tptp.c_lessequals @t21 (tptp.c_Event_Oknows @t20 (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays @t374 @t81 @t14) @t10 tptp.tc_Event_Oevent)) @t9))) % 2.24/2.44 (assume @p274 (forall (@list @t20 @t81) (not (= @t318 @t375)))) % 2.24/2.44 (assume @p275 (forall @t376 (tptp.c_lessequals @t21 (tptp.c_Event_Oknows @t20 (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes @t374 @t14) @t10 tptp.tc_Event_Oevent)) @t9))) % 2.24/2.44 (assume @p276 (forall @t376 (tptp.c_lessequals @t21 (tptp.c_Event_Oknows @t20 (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets @t374 @t14) @t10 tptp.tc_Event_Oevent)) @t9))) % 2.24/2.44 (assume @p277 (= (tptp.c_NS__Shared__Mirabelle_Ons__sharedp tptp.v_x) (tptp.c_in tptp.v_x tptp.c_NS__Shared__Mirabelle_Ons__shared @t377))) % 2.24/2.44 (assume @p278 (forall @t91 (or @t380 (not @t379) @t106))) % 2.24/2.44 (assume @p279 (forall @t91 (or @t379 (not @t380) @t106))) % 2.24/2.44 (assume @p280 (forall @t388 (or @t387 @t386 @t383 @t381))) % 2.24/2.44 (assume @p281 (forall @t342 (or (= (tptp.c_Message_Oanalz @t341) (tptp.c_Set_Oinsert @t340 @t104 tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in @t262 (tptp.c_Message_OkeysFor @t104) tptp.tc_nat))))) % 2.24/2.44 (assume @p282 (forall (@list @t262 @t53 @t123 @t14) (or (tptp.hBOOL (tptp.c_in @t389 @t54 tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in @t262 (tptp.c_Message_OkeysFor @t127) tptp.tc_nat)) @t107 (not (tptp.hBOOL (tptp.c_in @t262 (tptp.c_Message_OkeysFor @t254) tptp.tc_nat)))))) % 2.24/2.44 (assume @p283 (forall @t282 (or @t101 (tptp.hBOOL (tptp.c_in @t354 @t20 tptp.t_a)) @t280 @t278))) % 2.24/2.44 (assume @p284 (forall @t372 (or (tptp.hBOOL (tptp.c_in @t351 @t20 tptp.t_a)) @t349 @t348))) % 2.24/2.44 (assume @p285 (forall @t282 (or @t101 (tptp.hBOOL (tptp.c_in @t353 @t20 tptp.t_a)) @t280 @t278))) % 2.24/2.44 (assume @p286 (forall @t275 (or @t274 (tptp.hBOOL (tptp.c_in @t271 @t39 @t33))))) % 2.24/2.44 (assume @p287 (forall @t317 (or (tptp.hBOOL (tptp.c_in @t363 @t206 tptp.tc_nat)) @t314))) % 2.24/2.44 (assume @p288 (forall @t393 (or @t391 @t392 @t391))) % 2.24/2.44 (assume @p289 (forall @t393 (or @t391 @t392 @t392))) % 2.24/2.44 (assume @p290 (forall @t252 (tptp.c_lessequals @t12 @t18 @t9))) % 2.24/2.44 (assume @p291 (forall (@list @t10 @t20 @t81 @t14) (tptp.c_lessequals @t11 @t394 @t9))) % 2.24/2.44 (assume @p292 (forall @t388 (or @t387 (not @t395) @t383 @t381))) % 2.24/2.44 (assume @p293 (forall (@list @t262 @t10 @t382) (or @t385 @t395 (not @t387) @t383 @t381))) % 2.24/2.44 (assume @p294 (forall @t397 (tptp.c_lessequals @t11 @t396 @t9))) % 2.24/2.44 (assume @p295 (forall @t397 (tptp.c_lessequals @t11 @t400 @t9))) % 2.24/2.44 (assume @p296 (forall (@list @t47 @t20 @t73 @t401) (not (tptp.hBOOL (tptp.c_in @t367 @t403 tptp.tc_nat))))) % 2.24/2.44 (assume @p297 (forall (@list @t47 @t73 @t20 @t401) (or @t74 @t404))) % 2.24/2.44 (assume @p298 (forall @t406 (or (not (tptp.hBOOL (tptp.c_in @t262 (tptp.c_Message_OkeysFor @t12) tptp.tc_nat))) @t381 @t316 @t405))) % 2.24/2.44 (assume @p299 (forall (@list @t407 @t53 @t14) (or (tptp.hBOOL (tptp.c_in @t407 @t108 tptp.tc_Message_Omsg)) @t107 (not (tptp.hBOOL (tptp.c_in @t407 @t56 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p300 (forall @t409 (or @t257 @t392 @t316 @t408))) % 2.24/2.44 (assume @p301 (forall (@list @t262 @t14 @t123 @t53) (or @t411 (not @t410) @t259 @t107))) % 2.24/2.44 (assume @p302 (forall (@list @t262 @t123 @t14 @t53) (or @t410 (not @t411) @t259 @t107))) % 2.24/2.44 (assume @p303 (forall @t393 (or @t391 @t412 @t412))) % 2.24/2.44 (assume @p304 (forall @t393 (or @t391 @t412 @t391))) % 2.24/2.44 (assume @p305 (forall @t393 (or @t391 @t412 @t392))) % 2.24/2.44 (assume @p306 (forall @t393 (or @t391 @t392 @t412))) % 2.24/2.44 (assume @p307 (forall @t416 (not (tptp.hBOOL (tptp.c_in @t415 (tptp.c_Set_Oimage tptp.c_Message_OinvKey @t414 tptp.tc_nat tptp.tc_nat) tptp.tc_nat))))) % 2.24/2.44 (assume @p308 (forall (@list @t42 @t20 @t401) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_OinvKey (tptp.hAPP @t418 @t20)) (tptp.c_Set_Oimage tptp.c_Message_OinvKey (tptp.c_Set_Oimage @t418 @t401 tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat tptp.tc_nat) tptp.tc_nat)) (not @t417)))) % 2.24/2.44 (assume @p309 (forall (@list @t20 @t401 @t47 @t73) (or @t417 @t404))) % 2.24/2.44 (assume @p310 (forall @t268 (or @t267 @t420))) % 2.24/2.44 (assume @p311 (forall @t268 (or (tptp.c_lessequals @t264 @t266 @t9) @t420))) % 2.24/2.44 (assume @p312 (forall @t438 (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t437)) @t436 @t427 @t316 (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t421)))))) % 2.24/2.44 (assume @p313 (forall @t438 (or (tptp.hBOOL (tptp.c_in @t437 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)) @t436 @t427 @t316 (not (tptp.hBOOL (tptp.c_in @t421 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)))))) % 2.24/2.44 (assume @p314 (forall @t445 (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t444)) @t442 @t316 @t440 (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t439)))))) % 2.24/2.44 (assume @p315 (forall @t445 (or (tptp.hBOOL (tptp.c_in @t444 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)) @t442 @t316 @t440 (not (tptp.hBOOL (tptp.c_in @t439 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)))))) % 2.24/2.44 (assume @p316 (forall @t454 (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t453)) @t452 @t450 @t449 (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t446)))))) % 2.24/2.44 (assume @p317 (forall @t454 (or (tptp.hBOOL (tptp.c_in @t453 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)) @t452 @t450 @t449 (not (tptp.hBOOL (tptp.c_in @t446 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)))))) % 2.24/2.44 (assume @p318 (forall @t455 (not (= @t235 @t197)))) % 2.24/2.44 (assume @p319 (forall @t456 (not (= @t197 @t235)))) % 2.24/2.44 (assume @p320 (forall (@list @t1 @t4) (not (= @t457 @t197)))) % 2.24/2.44 (assume @p321 (forall @t8 (not (= @t197 @t457)))) % 2.24/2.44 (assume @p322 (forall @t241 (= (tptp.c_Message_Oparts @t104) @t54))) % 2.24/2.44 (assume @p323 (forall (@list @t53 @t242 @t14) (or @t247 (= @t261 (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert @t14 @t242 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p324 (forall @t241 (= (tptp.c_Message_Oanalz @t54) @t54))) % 2.24/2.44 (assume @p325 (forall @t459 (not (= @t458 @t249)))) % 2.24/2.44 (assume @p326 (forall @t460 (not (= @t249 @t458)))) % 2.24/2.44 (assume @p327 (forall @t115 (= @t400 @t11))) % 2.24/2.44 (assume @p328 (forall @t112 (= (tptp.c_Event_Oknows @t20 @t111) @t22))) % 2.24/2.44 (assume @p329 (forall @t466 (not (= @t465 @t462)))) % 2.24/2.44 (assume @p330 (forall @t467 (not (= @t462 @t465)))) % 2.24/2.44 (assume @p331 (forall @t115 (= (tptp.c_Event_Oknows @t20 @t114) @t22))) % 2.24/2.44 (assume @p332 (forall (@list @t461 @t198 @t248 @t230) (not (= @t469 @t468)))) % 2.24/2.44 (assume @p333 (forall @t470 (not (= @t468 @t469)))) % 2.24/2.44 (assume @p334 (forall @t475 (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t474)) @t472 (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t471)))))) % 2.24/2.44 (assume @p335 (forall (@list @t262 @t447 @t10) (or @t477 @t386 @t476 @t381))) % 2.24/2.44 (assume @p336 (forall (@list @t262 @t10 @t447) (or @t385 (= @t262 @t447) (not @t477) @t476 @t381))) % 2.24/2.44 (assume @p337 (forall (@list @t42 @t10) (or (tptp.hBOOL (tptp.c_in @t42 @t116 tptp.tc_nat)) @t381 (tptp.hBOOL (tptp.c_in @t478 (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert @t478 @t11 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p338 (forall (@list @t73 @t10) (or (tptp.hBOOL (tptp.c_in @t73 @t18 tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in @t73 @t12 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p339 (forall @t112 (= @t394 @t16))) % 2.24/2.44 (assume @p340 (forall @t482 (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t481)) @t480 (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t479)))))) % 2.24/2.44 (assume @p341 (forall (@list @t167 @t35 @t33 @t42) (or (tptp.hBOOL (tptp.c_in @t167 @t39 @t33)) @t483 (not (tptp.hBOOL (tptp.c_in @t167 @t326 @t33)))))) % 2.24/2.44 (assume @p342 (forall @t485 (or (tptp.hBOOL (tptp.c_in @t88 @t54 tptp.tc_Message_Omsg)) @t484))) % 2.24/2.44 (assume @p343 (forall @t486 (or @t255 @t484))) % 2.24/2.44 (assume @p344 (forall @t485 (or (tptp.hBOOL (tptp.c_in @t88 @t487 tptp.tc_Message_Omsg)) @t488))) % 2.24/2.44 (assume @p345 (forall @t486 (or (tptp.hBOOL (tptp.c_in @t14 @t487 tptp.tc_Message_Omsg)) @t488))) % 2.24/2.44 (assume @p346 (forall @t91 (or @t490 (not @t489) @t334))) % 2.24/2.44 (assume @p347 (forall @t485 (or @t489 @t492 @t491))) % 2.24/2.44 (assume @p348 (forall @t486 (or @t333 @t492 @t491))) % 2.24/2.44 (assume @p349 (forall @t409 (or @t255 (not (tptp.hBOOL (tptp.c_in @t263 @t54 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p350 (forall @t409 (or @t333 @t313 @t494))) % 2.24/2.44 (assume @p351 (forall (@list @t14 @t262 @t338 @t88 @t20) (= (tptp.c_Set_Oinsert @t336 (tptp.c_Set_Oinsert @t495 @t20 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert @t495 @t337 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p352 (forall @t342 (or @t498 @t497))) % 2.24/2.44 (assume @p353 (forall @t342 (or @t496 (not @t498)))) % 2.24/2.44 (assume @p354 (forall @t485 (or @t499 @t258 (not (tptp.hBOOL (tptp.c_in @t88 @t261 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p355 (forall @t57 (or (= @t261 @t104) @t258))) % 2.24/2.44 (assume @p356 (forall @t501 (or (tptp.hBOOL (tptp.c_in @t73 (tptp.c_Message_Oanalz @t500) tptp.tc_Message_Omsg)) @t329))) % 2.24/2.44 (assume @p357 (forall @t503 (or @t502 @t328))) % 2.24/2.44 (assume @p358 (forall @t503 (or @t328 @t502))) % 2.24/2.44 (assume @p359 (forall @t57 (or @t255 @t258))) % 2.24/2.44 (assume @p360 (forall (@list @t262 @t14 @t88 @t20) (= (tptp.c_Set_Oinsert @t340 (tptp.c_Set_Oinsert @t330 @t20 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert @t330 @t343 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p361 (forall @t91 (= (tptp.c_Message_Oanalz @t331) (tptp.c_Set_Oinsert @t330 (tptp.c_Message_Oanalz @t89) tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p362 (forall @t268 (or (= @t266 @t264) @t420))) % 2.24/2.44 (assume @p363 (forall @t268 (or (= @t266 (tptp.c_Set_Oinsert @t263 @t104 tptp.tc_Message_Omsg)) @t419))) % 2.24/2.44 (assume @p364 (forall @t268 (or @t504 @t107 @t420 @t392))) % 2.24/2.44 (assume @p365 (forall @t409 (or @t106 (not @t504) @t420 @t392))) % 2.24/2.44 (assume @p366 (forall @t507 (tptp.hBOOL (tptp.c_in @t506 @t130 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p367 (forall @t347 (tptp.hBOOL (tptp.c_in @t346 @t130 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p368 (forall @t57 (or (= (tptp.c_Message_Osynth @t261) @t105) @t107))) % 2.24/2.44 (assume @p369 (forall (@list @t81 @t10) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey @t375) @t18 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p370 (forall @t371 (tptp.hBOOL (tptp.c_in @t508 @t18 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p371 (forall (@list @t47 @t20 @t81) (tptp.hBOOL (tptp.c_in @t510 @t509 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p372 (forall @t361 (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce @t42) @t269 tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p373 (forall @t319 (tptp.hBOOL (tptp.c_in @t508 @t370 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p374 (forall @t361 (or @t360 (not @t511)))) % 2.24/2.44 (assume @p375 (forall @t361 (or @t511 @t362))) % 2.24/2.44 (assume @p376 (forall @t512 (tptp.hBOOL (tptp.c_in @t510 @t18 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p377 (forall (@list @t262 @t14) (not (tptp.hBOOL (tptp.c_in @t263 @t251 tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p378 (forall (@list @t262 @t14 @t81) (not (tptp.hBOOL (tptp.c_in @t263 @t513 tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p379 (forall @t514 (not (= @t234 @t197)))) % 2.24/2.44 (assume @p380 (forall @t515 (not (= @t197 @t234)))) % 2.24/2.44 (assume @p381 (forall @t57 (or @t333 (not (tptp.hBOOL (tptp.c_in @t14 @t516 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p382 (forall @t57 (or @t333 @t517))) % 2.24/2.44 (assume @p383 (forall @t57 (or @t255 (not (tptp.hBOOL (tptp.c_in @t14 @t518 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p384 (forall @t57 (or @t255 @t517))) % 2.24/2.44 (assume @p385 (forall @t519 (or (tptp.hBOOL (tptp.c_in @t212 @t310 @t58)) @t219))) % 2.24/2.44 (assume @p386 (forall (@list @t62 @t42 @t20 @t58 @t33) (or @t520 @t324))) % 2.24/2.44 (assume @p387 (forall @t311 (or @t324 @t520))) % 2.24/2.44 (assume @p388 (forall (@list @t42 @t20 @t521 @t62 @t33) (or (not (tptp.hBOOL (tptp.c_in @t42 @t20 @t521))) (tptp.hBOOL (tptp.c_in @t212 (tptp.c_Set_Oimage @t62 @t20 @t521 @t33) @t33))))) % 2.24/2.44 (assume @p389 (forall @t84 (or (= @t69 @t20) @t523))) % 2.24/2.44 (assume @p390 (forall @t323 (or (not (= @t151 @t320)) @t220 @t218 @t285))) % 2.24/2.44 (assume @p391 (forall (@list @t42 @t81 @t33) (tptp.hBOOL (tptp.c_in @t42 @t320 @t33)))) % 2.24/2.44 (assume @p392 (forall (@list @t45 @t81 @t33) (tptp.hBOOL (tptp.c_in @t45 @t122 @t33)))) % 2.24/2.44 (assume @p393 (forall @t524 (tptp.hBOOL (tptp.c_in @t42 @t151 @t33)))) % 2.24/2.44 (assume @p394 (forall @t44 (tptp.hBOOL (tptp.c_in @t42 @t64 @t33)))) % 2.24/2.44 (assume @p395 (forall (@list @t45 @t20 @t33 @t47) (or @t522 @t93 (not @t525)))) % 2.24/2.44 (assume @p396 (forall (@list @t45 @t47 @t81 @t33) (or (tptp.hBOOL (tptp.c_in @t45 @t150 @t33)) (not (tptp.hBOOL (tptp.c_in @t45 @t81 @t33)))))) % 2.24/2.44 (assume @p397 (forall (@list @t45 @t47 @t20 @t33) (or @t525 @t523))) % 2.24/2.44 (assume @p398 (forall @t512 (tptp.hBOOL (tptp.c_in @t526 @t18 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p399 (forall @t416 (not (tptp.hBOOL (tptp.c_in @t415 @t414 tptp.tc_nat))))) % 2.24/2.44 (assume @p400 (forall (@list @t42 @t167) (or (not (= @t415 (tptp.hAPP tptp.c_Public_OshrK @t167))) @t284))) % 2.24/2.44 (assume @p401 (forall @t529 (= @t528 @t527))) % 2.24/2.44 (assume @p402 (forall (@list @t14 @t10 @t81) (or @t19 (not (tptp.hBOOL (tptp.c_in @t14 @t513 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p403 (forall (@list @t530 @t53) (or (tptp.hBOOL (tptp.c_in @t531 @t53 tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in @t531 @t130 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p404 (forall @t358 (or @t533 (not @t532)))) % 2.24/2.44 (assume @p405 (forall @t358 (or @t532 (not @t533)))) % 2.24/2.44 (assume @p406 (forall (@list @t35 @t42 @t33) (not (= @t35 @t325)))) % 2.24/2.44 (assume @p407 (forall (@list @t42 @t217 @t33) (not (= (tptp.c_List_Olist_OCons @t42 @t217 @t33) @t217)))) % 2.24/2.44 (assume @p408 (forall @t241 (= @t516 @t130))) % 2.24/2.44 (assume @p409 (forall (@list @t535 @t534 @t33) (not (= @t536 @t34)))) % 2.24/2.44 (assume @p410 (forall @t49 (not (= (tptp.c_List_Olist_OCons @t42 @t48 @t33) @t34)))) % 2.24/2.44 (assume @p411 (forall @t519 (or (= (tptp.c_Set_Oinsert @t212 @t310 @t58) @t310) @t219))) % 2.24/2.44 (assume @p412 (forall (@list @t167 @t20 @t33 @t42) (or @t538 @t283))) % 2.24/2.44 (assume @p413 (forall @t542 (or @t541 (not @t540)))) % 2.24/2.44 (assume @p414 (forall @t542 (or @t540 (not @t541)))) % 2.24/2.44 (assume @p415 (forall @t268 (= (tptp.c_Message_Oparts @t265) (tptp.c_Set_Oinsert @t263 @t56 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p416 (forall (@list @t262 @t355 @t20) (= (tptp.c_Set_Oinsert @t340 @t543 tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert @t356 @t343 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p417 (forall @t544 (not (tptp.hBOOL (tptp.c_in @t356 @t251 tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p418 (forall @t544 (= (tptp.c_Message_Oparts @t545) @t545))) % 2.24/2.44 (assume @p419 (forall @t368 (tptp.hBOOL (tptp.c_in @t526 @t370 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p420 (forall (@list @t62 @t42 @t58 @t33) (tptp.hBOOL (tptp.c_in @t212 (tptp.c_Set_Oimage @t62 (tptp.c_Orderings_Otop__class_Otop @t59) @t58 @t33) @t33)))) % 2.24/2.44 (assume @p421 (forall (@list @t42 @t167 @t20 @t33) (= (tptp.c_Set_Oinsert @t42 @t537 @t33) (tptp.c_Set_Oinsert @t167 @t151 @t33)))) % 2.24/2.44 (assume @p422 (forall @t8 (or (not (= @t197 @t458)) @t7))) % 2.24/2.44 (assume @p423 (forall @t548 (or @t547 @t74))) % 2.24/2.44 (assume @p424 (forall @t548 (or @t547 @t549))) % 2.24/2.44 (assume @p425 (forall @t551 (not (tptp.hBOOL (tptp.c_in @t550 @t539 tptp.tc_nat))))) % 2.24/2.44 (assume @p426 (forall @t85 (tptp.hBOOL (tptp.c_in @t34 @t273 @t272)))) % 2.24/2.44 (assume @p427 (forall @t548 (not (= @t373 @t546)))) % 2.24/2.44 (assume @p428 (forall @t319 (= (tptp.hAPP tptp.c_Message_OinvKey @t432) @t432))) % 2.24/2.44 (assume @p429 (forall (@list @t262 @t552) (or (not (= @t363 (tptp.hAPP tptp.c_Message_OinvKey @t552))) (= @t262 @t552)))) % 2.24/2.44 (assume @p430 (forall (@list @t47 @t73 @t42 @t413) (or @t74 @t554))) % 2.24/2.44 (assume @p431 (forall (@list @t42 @t413 @t47 @t73) (or @t541 @t554))) % 2.24/2.44 (assume @p432 (forall (@list @t42 @t48 @t413) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP @t418 @t48) (tptp.c_Set_Oimage @t418 @t413 tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in @t48 @t413 tptp.tc_Message_Oagent)))))) % 2.24/2.44 (assume @p433 (forall @t485 (or @t489 @t334 (not (tptp.hBOOL (tptp.c_in @t88 @t345 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p434 (forall (@list @t47 @t42 @t73 @t413) (not (tptp.hBOOL (tptp.c_in @t555 @t553 tptp.tc_nat))))) % 2.24/2.44 (assume @p435 (forall @t358 (= (tptp.c_Message_Oanalz @t357) (tptp.c_Set_Oinsert @t356 @t104 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p436 (forall @t524 (= (tptp.c_Set_Oinsert @t42 @t151 @t33) @t151))) % 2.24/2.44 (assume @p437 (forall (@list @t20 @t42 @t167 @t33) (or @t120 @t483 (not @t538)))) % 2.24/2.44 (assume @p438 (forall (@list @t14 @t262 @t355 @t20) (= (tptp.c_Set_Oinsert @t336 @t543 tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert @t356 @t337 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p439 (forall @t91 (= (tptp.c_Message_Oparts @t331) (tptp.c_Set_Oinsert @t330 @t90 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p440 (forall @t507 (= (tptp.c_Message_Oparts @t556) (tptp.c_Set_Oinsert @t506 @t54 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p441 (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t250))) % 2.24/2.44 (assume @p442 (forall @t558 (not (= @t557 @t432)))) % 2.24/2.44 (assume @p443 (forall @t470 (or @t559 @t291))) % 2.24/2.44 (assume @p444 (forall @t470 (or @t559 @t560))) % 2.24/2.44 (assume @p445 (forall @t80 (tptp.hBOOL (tptp.hAPP @t64 @t42)))) % 2.24/2.44 (assume @p446 (forall @t241 (= @t518 @t54))) % 2.24/2.44 (assume @p447 (forall @t551 (not (tptp.hBOOL (tptp.c_in @t555 @t539 tptp.tc_nat))))) % 2.24/2.44 (assume @p448 (forall (@list @t33 @t535 @t534) (not (= @t34 @t536)))) % 2.24/2.44 (assume @p449 (forall @t57 (or (= @t56 @t54) @t256))) % 2.24/2.44 (assume @p450 (forall @t529 (= @t527 @t528))) % 2.24/2.44 (assume @p451 (forall (@list @t355 @t81) (not (tptp.hBOOL (tptp.c_in @t356 @t513 tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p452 (forall @t524 (tptp.hBOOL (tptp.hAPP @t151 @t42)))) % 2.24/2.44 (assume @p453 (forall @t365 (= (tptp.hAPP tptp.c_Message_OinvKey @t363) @t262))) % 2.24/2.44 (assume @p454 (forall @t561 (not (= @t432 @t557)))) % 2.24/2.44 (assume @p455 (forall @t406 (or @t562 @t405))) % 2.24/2.44 (assume @p456 (forall @t358 (= (tptp.c_Message_Oparts @t357) (tptp.c_Set_Oinsert @t356 @t54 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p457 (forall @t319 (= (tptp.c_Event_Oknows @t20 @t250) @t370))) % 2.24/2.44 (assume @p458 (forall @t565 (or @t564 (= @t45 @t535)))) % 2.24/2.44 (assume @p459 (forall @t565 (or @t564 (= @t563 @t534)))) % 2.24/2.44 (assume @p460 (forall @t561 (not (= @t432 @t566)))) % 2.24/2.44 (assume @p461 (forall @t342 (= (tptp.c_Message_Oparts @t341) (tptp.c_Set_Oinsert @t340 @t54 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p462 (forall @t115 (or (= (tptp.c_Event_Oknows @t20 @t399) @t22) @t567))) % 2.24/2.44 (assume @p463 (forall (@list @t42 @t35 @t33) (= @t326 (tptp.c_Set_Oinsert @t42 @t39 @t33)))) % 2.24/2.44 (assume @p464 (forall @t115 (= (tptp.c_Event_Oused @t399) @t18))) % 2.24/2.44 (assume @p465 (forall @t558 (not (= @t566 @t432)))) % 2.24/2.44 (assume @p466 (forall @t501 (or (tptp.hBOOL (tptp.c_in @t73 (tptp.c_Message_Oparts @t500) tptp.tc_Message_Omsg)) (not @t327)))) % 2.24/2.44 (assume @p467 (forall (@list @t73 @t374 @t47 @t20) (not (= @t546 @t373)))) % 2.24/2.44 (assume @p468 (forall (@list @t262 @t14 @t552 @t20) (= (tptp.c_Set_Oinsert @t340 (tptp.c_Set_Oinsert @t568 @t20 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert @t568 @t343 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p469 (forall @t544 (= (tptp.c_Message_Oanalz @t545) @t545))) % 2.24/2.44 (assume @p470 (forall (@list @t14 @t262 @t148 @t20) (= (tptp.c_Set_Oinsert @t336 @t570 tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert @t569 @t337 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p471 (forall @t572 (or @t571 (tptp.hBOOL (tptp.c_in @t73 (tptp.c_Message_Oanalz @t400) tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p472 (forall (@list @t262 @t148 @t20) (= (tptp.c_Set_Oinsert @t340 @t570 tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert @t569 @t343 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p473 (forall @t507 (= (tptp.c_Message_Oanalz @t556) (tptp.c_Set_Oinsert @t506 @t104 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p474 (forall @t579 (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t578)) @t577 @t576 @t574 (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t573)))))) % 2.24/2.44 (assume @p475 (tptp.hBOOL (tptp.c_in @t250 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377))) % 2.24/2.44 (assume @p476 (forall @t583 (or @t562 @t381 @t582 @t581))) % 2.24/2.44 (assume @p477 (forall @t475 (or (tptp.hBOOL (tptp.c_in @t474 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)) @t472 (not (tptp.hBOOL (tptp.c_in @t471 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)))))) % 2.24/2.44 (assume @p478 (forall @t23 (or (tptp.hBOOL (tptp.c_in @t14 @t370 tptp.tc_Message_Omsg)) @t587 @t586 (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays @t20 (tptp.c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @t20 @t14 @t10) @t14) @t585 tptp.tc_Event_Oevent)) @t567 (not @t584)))) % 2.24/2.44 (assume @p479 (forall @t17 (or (tptp.hBOOL (tptp.c_in @t14 @t118 tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_ONotes @t589 @t14) @t585 tptp.tc_Event_Oevent)) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays @t589 (tptp.c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2 @t14 @t10) @t14) @t585 tptp.tc_Event_Oevent)) (not @t588)))) % 2.24/2.44 (assume @p480 (forall @t595 (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t594)) @t593 @t592 (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp @t590)))))) % 2.24/2.44 (assume @p481 (forall (@list @t262 @t10 @t20 @t552 @t355 @t81 @t14) (or @t562 @t381 @t596))) % 2.24/2.44 (assume @p482 (forall (@list @t14 @t10 @t262 @t434 @t20 @t430 @t81) (or @t598 @t562 @t381 @t597))) % 2.24/2.44 (assume @p483 (forall @t115 (or (= @t396 @t16) @t599))) % 2.24/2.44 (assume @p484 (forall @t485 (or @t602 @t601))) % 2.24/2.44 (assume @p485 (forall @t486 (or @t106 @t601))) % 2.24/2.44 (assume @p486 (forall @t91 (or @t600 (not @t602) @t107))) % 2.24/2.44 (assume @p487 (forall (@list @t42 @t20 @t33 @t35) (or @t218 (not (tptp.hBOOL (tptp.c_in @t42 @t39 @t33))) (not @t274)))) % 2.24/2.44 (assume @p488 (forall @t344 (not (tptp.hBOOL (tptp.c_in @t263 @t269 tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p489 (forall @t268 (or @t493 @t314 @t496))) % 2.24/2.44 (assume @p490 (forall @t268 (or @t313 @t494 @t496))) % 2.24/2.44 (assume @p491 (forall @t317 (or @t496 @t313 @t494))) % 2.24/2.44 (assume @p492 (forall @t268 (or @t493 @t497 @t334))) % 2.24/2.44 (assume @p493 (forall @t371 (tptp.hBOOL (tptp.c_in @t508 @t21 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p494 (forall @t512 (or (tptp.hBOOL (tptp.c_in @t526 @t11 tptp.tc_Message_Omsg)) @t599))) % 2.24/2.44 (assume @p495 (forall @t579 (or (tptp.hBOOL (tptp.c_in @t578 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)) @t577 @t576 @t574 (not (tptp.hBOOL (tptp.c_in @t573 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)))))) % 2.24/2.44 (assume @p496 (forall @t482 (or (tptp.hBOOL (tptp.c_in @t481 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)) @t480 (not (tptp.hBOOL (tptp.c_in @t479 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)))))) % 2.24/2.44 (assume @p497 (forall @t409 (or @t257 @t420 @t408))) % 2.24/2.44 (assume @p498 (forall (@list @t14 @t53 @t20) (or @t257 (not (tptp.hBOOL (tptp.c_in @t508 @t104 tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in @t603 @t104 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p499 (forall @t512 (tptp.hBOOL (tptp.c_in @t510 @t11 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p500 (forall @t605 (or @t19 @t604))) % 2.24/2.44 (assume @p501 (forall @t595 (or (tptp.hBOOL (tptp.c_in @t594 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)) @t593 @t592 (not (tptp.hBOOL (tptp.c_in @t590 tptp.c_NS__Shared__Mirabelle_Ons__shared @t377)))))) % 2.24/2.44 (assume @p502 (forall @t607 (or @t19 @t606))) % 2.24/2.44 (assume @p503 (forall @t371 (or @t608 @t599 @t381))) % 2.24/2.44 (assume @p504 (forall @t371 (or @t582 (not @t608) @t381))) % 2.24/2.44 (assume @p505 (forall @t583 (or (tptp.hBOOL (tptp.c_in @t262 @t12 tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t20 (tptp.c_Message_Omsg_OCrypt @t432 (tptp.c_Message_Omsg_OMPair @t430 @t609))) @t585 tptp.tc_Event_Oevent)))))) % 2.24/2.44 (assume @p506 (forall @t512 (tptp.hBOOL (tptp.c_in @t510 @t384 tptp.tc_Message_Omsg)))) % 2.24/2.44 (assume @p507 (forall (@list @t73 @t10 @t20 @t81 @t14) (or @t571 (tptp.hBOOL (tptp.c_in @t73 (tptp.c_Message_Oanalz @t394) tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p508 (forall @t572 (or @t571 (tptp.hBOOL (tptp.c_in @t73 (tptp.c_Message_Oanalz @t396) tptp.tc_Message_Omsg))))) % 2.24/2.44 (assume @p509 (forall @t23 (or @t584 (not @t586) @t567))) % 2.24/2.44 (assume @p510 (forall @t115 (or (= @t396 @t11) @t582))) % 2.24/2.44 (assume @p511 (forall (@list @t14 @t81 @t262 @t20 @t10 @t430) (or @t610 @t381 @t582 @t581))) % 2.24/2.44 (assume @p512 (forall @t605 (or @t611 @t604))) % 2.24/2.44 (assume @p513 (forall @t371 (or (tptp.hBOOL (tptp.c_in @t508 @t11 tptp.tc_Message_Omsg)) @t599))) % 2.24/2.44 (assume @p514 (forall (@list @t14 @t10 @t81 @t262 @t20 @t434 @t430) (or @t598 @t610 @t381 @t597))) % 2.24/2.44 (assume @p515 (forall @t607 (or @t598 @t599 (not (tptp.hBOOL (tptp.c_in @t603 @t384 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p516 (forall (@list @t20 @t430 @t81 @t262 @t14 @t10) (or @t612 @t381 @t582 @t581))) % 2.24/2.44 (assume @p517 (forall (@list @t14 @t10 @t434 @t20 @t613 @t355 @t81 @t262) (or @t611 (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays @t434 @t20 (tptp.c_Message_Omsg_OCrypt @t613 (tptp.c_Message_Omsg_OMPair @t355 @t609))) @t585 tptp.tc_Event_Oevent)))))) % 2.24/2.44 (assume @p518 (forall (@list @t262 @t10 @t430 @t81 @t20) (or @t386 (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair @t430 (tptp.c_Message_Omsg_OMPair (tptp.v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @t262 @t430 @t10) @t340))) @t585 tptp.tc_Event_Oevent)) @t381 (tptp.hBOOL (tptp.c_in @t81 tptp.c_Event_Obad tptp.tc_Message_Oagent)) @t582 (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t20 (tptp.c_Message_Omsg_OCrypt @t432 (tptp.c_Message_Omsg_OMPair @t430 (tptp.c_Message_Omsg_OMPair @t428 (tptp.c_Message_Omsg_OMPair @t340 @t441))))) @t585 tptp.tc_Event_Oevent)))))) % 2.24/2.44 (assume @p519 (forall @t371 (or @t582 (not @t614) @t381))) % 2.24/2.44 (assume @p520 (forall @t371 (or @t614 @t599 @t381))) % 2.24/2.44 (assume @p521 @t617) % 2.24/2.44 (assume @p522 (forall (@list @t20 @t374 @t10 @t619 @t426 @t262 @t338 @t430 @t81 @t14) (or @t549 @t381 @t620 @t618))) % 2.24/2.44 (assume @p523 (forall (@list @t430 @t619 @t10 @t374 @t426 @t262 @t338 @t20 @t81 @t14) (or (= @t430 @t619) @t381 @t620 @t618))) % 2.24/2.44 (assume @p524 (forall (@list @t81 @t426 @t10 @t374 @t619 @t262 @t338 @t20 @t430 @t14) (or (= @t81 @t426) @t381 @t620 @t618))) % 2.24/2.44 (assume @p525 (forall (@list @t14 @t338 @t10 @t374 @t619 @t426 @t262 @t20 @t430 @t81) (or (= @t14 @t338) @t381 @t620 @t618))) % 2.24/2.44 (assume @p526 (forall (@list @t14 @t81 @t262 @t20 @t10 @t552 @t355) (or @t610 @t381 @t596))) % 2.24/2.44 (assume @p527 (forall (@list @t248 @t461) (or (not (= @t249 (tptp.c_Message_Omsg_OAgent @t461))) @t560))) % 2.24/2.44 (assume @p528 (forall (@list @t14 @t20 @t10 @t81) (or @t584 @t604))) % 2.24/2.44 (assume @p529 (forall @t241 (= @t621 @t104))) % 2.24/2.44 (assume @p530 (forall @t485 (or @t499 @t622))) % 2.24/2.44 (assume @p531 (forall @t486 (or @t257 @t622))) % 2.24/2.44 (assume @p532 (forall @t460 (not (= @t249 @t457)))) % 2.24/2.44 (assume @p533 (forall @t626 (or @t625 (= @t464 @t623)))) % 2.24/2.44 (assume @p534 (forall @t626 (or @t625 (= @t463 @t624)))) % 2.24/2.44 (assume @p535 (forall @t626 (or @t625 @t291))) % 2.24/2.44 (assume @p536 (forall @t57 (or @t257 @t517))) % 2.24/2.44 (assume @p537 (forall @t605 (or @t588 @t604))) % 2.24/2.44 (assume @p538 (tptp.hBOOL (tptp.c_in tptp.c_Message_Oagent_OSpy tptp.c_Event_Obad tptp.tc_Message_Oagent))) % 2.24/2.44 (assume @p539 (forall @t470 (or @t627 @t560))) % 2.24/2.44 (assume @p540 (forall @t470 (or @t627 @t291))) % 2.24/2.44 (assume @p541 (forall @t455 (not (= @t235 @t236)))) % 2.24/2.44 (assume @p542 (forall @t607 (or @t588 @t599 @t606))) % 2.24/2.44 (assume @p543 (forall (@list @t233 @t232 @t248) (not (= @t234 @t249)))) % 2.24/2.44 (assume @p544 (not (= tptp.c_Message_Oagent_OServer tptp.c_Message_Oagent_OSpy))) % 2.24/2.44 (assume @p545 (forall @t605 (or @t598 @t604))) % 2.24/2.44 (assume @p546 (forall @t8 (or (not (= @t236 @t457)) @t7))) % 2.24/2.44 (assume @p547 (forall (@list @t248 @t233 @t232) (not (= @t249 @t234)))) % 2.24/2.44 (assume @p548 (forall (@list @t248 @t1 @t198) (not (= @t249 @t235)))) % 2.24/2.44 (assume @p549 (forall @t466 (not (= @t465 @t469)))) % 2.24/2.44 (assume @p550 (forall (@list @t629 @t628 @t1 @t198) (not (= @t630 @t235)))) % 2.24/2.44 (assume @p551 (forall (@list @t1 @t198 @t248) (not (= @t235 @t249)))) % 2.24/2.44 (assume @p552 (forall @t459 (not (= @t457 @t249)))) % 2.24/2.44 (assume @p553 (forall @t57 (or @t257 (not (tptp.hBOOL (tptp.c_in @t14 @t621 tptp.tc_Message_Omsg)))))) % 2.24/2.44 (assume @p554 (forall (@list @t42 @t434 @t33) (or @t632 (not @t631)))) % 2.24/2.44 (assume @p555 (forall (@list @t434 @t42 @t33) (or @t631 (not @t632)))) % 2.24/2.44 (assume @p556 (forall @t634 (or @t633 @t7))) % 2.24/2.44 (assume @p557 (forall @t634 (or @t633 @t291))) % 2.24/2.44 (assume @p558 (forall @t23 (or @t584 @t606))) % 2.24/2.44 (assume @p559 (forall @t636 (or @t635 (= @t629 @t233)))) % 2.24/2.44 (assume @p560 (forall @t636 (or @t635 (= @t628 @t232)))) % 2.24/2.44 (assume @p561 (not (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) % 2.24/2.44 (assume @p562 (forall (@list @t1 @t198 @t629 @t628) (not (= @t235 @t630)))) % 2.24/2.44 (assume @p563 (forall @t515 (not (= @t236 @t234)))) % 2.24/2.44 (assume @p564 (not (tptp.hBOOL (tptp.c_in tptp.c_Message_Oagent_OServer tptp.c_Event_Obad tptp.tc_Message_Oagent)))) % 2.24/2.44 (assume @p565 (forall @t514 (not (= @t234 @t236)))) % 2.24/2.44 (assume @p566 (forall @t467 (not (= @t469 @t465)))) % 2.24/2.44 (assume @p567 (forall @t456 (not (= @t236 @t235)))) % 2.24/2.44 (assume @p568 @t641) % 2.24/2.44 (assume @p569 @t642) % 2.24/2.44 (assume @p570 (not @t643)) % 2.24/2.44 (assume @p571 (not @t644)) % 2.24/2.44 (assume @p572 @t645) % 2.24/2.44 (assume @p573 @t646) % 2.24/2.44 (assume @p574 (forall @t651 (or (tptp.class_Lattices_Oupper__semilattice @t650) @t648))) % 2.24/2.44 (assume @p575 (forall @t651 (or (tptp.class_Lattices_Obounded__lattice @t650) (not (tptp.class_Lattices_Obounded__lattice @t647))))) % 2.24/2.44 (assume @p576 (forall @t651 (or (tptp.class_Lattices_Oboolean__algebra @t650) (not (tptp.class_Lattices_Oboolean__algebra @t647))))) % 2.24/2.44 (assume @p577 (forall @t651 (or (tptp.class_Orderings_Opreorder @t650) (not (tptp.class_Orderings_Opreorder @t647))))) % 2.24/2.44 (assume @p578 (forall @t651 (or (tptp.class_Lattices_Olattice @t650) @t648))) % 2.24/2.44 (assume @p579 (forall @t651 (or (tptp.class_Orderings_Oorder @t650) (not (tptp.class_Orderings_Oorder @t647))))) % 2.24/2.44 (assume @p580 (forall @t651 (or (tptp.class_Orderings_Otop @t650) (not (tptp.class_Orderings_Otop @t647))))) % 2.24/2.44 (assume @p581 (forall @t651 (or (tptp.class_Orderings_Obot @t650) (not (tptp.class_Orderings_Obot @t647))))) % 2.24/2.44 (assume @p582 (forall @t651 (or (tptp.class_HOL_Ouminus @t650) (not (tptp.class_HOL_Ouminus @t647))))) % 2.24/2.44 (assume @p583 (forall @t651 (or (tptp.class_HOL_Oord @t650) (not (tptp.class_HOL_Oord @t647))))) % 2.24/2.44 (assume @p584 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 2.24/2.44 (assume @p585 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 2.24/2.44 (assume @p586 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 2.24/2.44 (assume @p587 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 2.24/2.44 (assume @p588 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 2.24/2.44 (assume @p589 (tptp.class_Orderings_Obot tptp.tc_nat)) % 2.24/2.44 (assume @p590 (tptp.class_HOL_Oord tptp.tc_nat)) % 2.24/2.44 (assume @p591 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 2.24/2.44 (assume @p592 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 2.24/2.44 (assume @p593 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 2.24/2.44 (assume @p594 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 2.24/2.44 (assume @p595 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 2.24/2.44 (assume @p596 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 2.24/2.44 (assume @p597 (tptp.class_Orderings_Otop tptp.tc_bool)) % 2.24/2.44 (assume @p598 (tptp.class_Orderings_Obot tptp.tc_bool)) % 2.24/2.44 (assume @p599 (tptp.class_HOL_Ouminus tptp.tc_bool)) % 2.24/2.44 (assume @p600 (tptp.class_HOL_Oord tptp.tc_bool)) % 2.24/2.44 (assume @p601 (forall @t44 (tptp.c_fequal @t42 @t42 @t33))) % 2.24/2.44 (assume @p602 (forall (@list @t14 @t88 @t33) (or (= @t14 @t88) (not (tptp.c_fequal @t14 @t88 @t33))))) % 2.24/2.44 (step @p603 :rule instantiate :premises (@p518) :args ((@list tptp.v_K tptp.v_evs tptp.v_NA tptp.v_B tptp.v_A))) % 2.24/2.44 (step @p604 :rule true_intro :premises (@p568)) % 2.24/2.44 (step @p605 :rule refl :args (tptp.tc_Event_Oevent)) % 2.24/2.44 (step @p606 :rule refl :args (@t637)) % 2.24/2.44 (step @p607 :rule refl :args (@t640)) % 2.24/2.44 (step @p608 :rule refl :args (@t596)) % 2.24/2.44 (step @p609 :rule refl :args (@t381)) % 2.24/2.44 (step @p610 :rule eq-symm :args (@t552 @t432)) % 2.24/2.44 (step @p611 :rule nary_cong :premises (@p610 @p609 @p608) :args (@t615)) % 2.24/2.44 (step @p612 :rule cong :premises (@p611) :args (@t617)) % 2.24/2.44 (step @p613 :rule eq_resolve :premises (@p521 @p612)) % 2.24/2.44 (step @p614 :rule refl :args (@t652)) % 2.24/2.44 (step @p615 :rule refl :args (@t653)) % 2.24/2.44 (step @p616 :rule eq-symm :args (@t654 tptp.v_K_H)) % 2.24/2.44 (step @p617 :rule nary_cong :premises (@p616 @p615 @p614) :args (@t655)) % 2.24/2.44 (step @p618 :rule refl :args (@t656)) % 2.24/2.44 (step @p619 :rule cong :premises (@p618 @p617) :args ((=> @t656 @t655))) % 2.24/2.44 (assume-push @p662 @t656) % 2.24/2.44 (step @p621 :rule instantiate :premises (@p613) :args ((@list tptp.v_K_H tptp.v_A tptp.v_evs tptp.v_NA tptp.v_B tptp.v_K tptp.v_X))) % 2.24/2.44 (step-pop @p663 :rule scope :premises (@p621)) % 2.24/2.44 (step @p622 :rule process_scope :premises (@p663) :args (@t655)) % 2.24/2.44 (step @p624 :rule eq_resolve :premises (@p622 @p619)) % 2.24/2.44 (step @p625 :rule implies_elim :premises (@p624)) % 2.24/2.44 (step @p626 :rule chain_m_resolution :premises (@p625 @p613) :args (@t658 (@list false) (@list @t656))) % 2.24/2.44 (step @p627 :rule cnf_or_pos :args (@t658)) % 2.24/2.44 (step @p628 :rule reordering :premises (@p627) :args ((or @t652 @t653 @t657 (not @t658)))) % 2.24/2.44 (step @p629 :rule chain_m_resolution :premises (@p628 @p568 @p572 @p626) :args (@t657 @t659 (@list @t641 @t645 @t658))) % 2.24/2.44 (step @p630 :rule symm :premises (@p629)) % 2.24/2.44 (step @p631 :rule cong :premises (@p630 @p607) :args ((tptp.c_Message_Omsg_OCrypt @t654 @t640))) % 2.24/2.44 (step @p632 :rule instantiate :premises (@p526) :args ((@list tptp.v_X tptp.v_B tptp.v_K tptp.v_A tptp.v_evs tptp.v_K_H tptp.v_NA))) % 2.24/2.44 (step @p633 :rule cnf_or_pos :args (@t662)) % 2.24/2.44 (step @p634 :rule reordering :premises (@p633) :args ((or @t652 @t653 @t661 (not @t662)))) % 2.24/2.44 (step @p635 :rule chain_m_resolution :premises (@p634 @p568 @p572 @p632) :args (@t661 @t659 (@list @t641 @t645 @t662))) % 2.24/2.44 (step @p636 :rule symm :premises (@p635)) % 2.24/2.44 (step @p637 :rule refl :args (@t638)) % 2.24/2.44 (step @p638 :rule cong :premises (@p637 @p636) :args (@t663)) % 2.24/2.44 (step @p639 :rule refl :args (@t639)) % 2.24/2.44 (step @p640 :rule cong :premises (@p639 @p638) :args (@t664)) % 2.24/2.44 (step @p641 :rule refl :args (tptp.v_NA)) % 2.24/2.44 (step @p642 :rule cong :premises (@p641 @p640) :args (@t665)) % 2.24/2.44 (step @p643 :rule refl :args (@t654)) % 2.24/2.44 (step @p644 :rule cong :premises (@p643 @p642) :args (@t666)) % 2.24/2.44 (step @p645 :rule trans :premises (@p644 @p631)) % 2.24/2.44 (step @p646 :rule refl :args (tptp.v_A)) % 2.24/2.44 (step @p647 :rule refl :args (tptp.c_Message_Oagent_OServer)) % 2.24/2.44 (step @p648 :rule cong :premises (@p647 @p646 @p645) :args (@t667)) % 2.24/2.44 (step @p649 :rule cong :premises (@p648 @p606 @p605) :args (@t668)) % 2.24/2.44 (step @p650 :rule cong :premises (@p649) :args (@t669)) % 2.24/2.44 (step @p651 :rule trans :premises (@p650 @p604)) % 2.24/2.44 (step @p652 :rule true_elim :premises (@p651)) % 2.24/2.44 (step @p653 :rule cnf_or_pos :args (@t674)) % 2.24/2.44 (step @p654 :rule reordering :premises (@p653) :args ((or @t643 @t644 @t653 @t673 @t672 @t670 (not @t674)))) % 2.24/2.44 (step @p655 :rule chain_m_resolution :premises (@p654 @p570 @p571 @p572 @p573 @p652 @p603) :args (@t672 (@list true true false false false false) (@list @t643 @t644 @t645 @t646 @t669 @t674))) % 2.24/2.44 (assume-push @p664 @t642) % 2.24/2.44 (step @p657 :rule instantiate :premises (@p569) :args ((@list @t671))) % 2.24/2.44 (step-pop @p665 :rule scope :premises (@p657)) % 2.24/2.44 (step @p658 :rule process_scope :premises (@p665) :args ((not @t672))) % 2.24/2.44 (step @p660 :rule implies_elim :premises (@p658)) % 2.24/2.44 (step @p661 false :rule chain_m_resolution :premises (@p660 @p655 @p569) :args (false (@list false false) (@list @t672 @t642))) % 2.24/2.44 ) % 2.24/2.45 % SZS output end Proof % 2.24/2.45 % cvc5 exiting %------------------------------------------------------------------------------