%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV755-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n028.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 May 29 18:16:01 EDT 2024

% Result   : Unsatisfiable 33.09s 33.33s
% Output   : Proof 33.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.21/0.22  % Problem    : SWV755-1 : TPTP v8.2.0. Released v4.1.0.
% 0.21/0.23  % Command    : do_cvc5 %s %d
% 0.23/0.45  % Computer : n028.cluster.edu
% 0.23/0.45  % Model    : x86_64 x86_64
% 0.23/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.45  % Memory   : 8042.1875MB
% 0.23/0.45  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.23/0.45  % CPULimit   : 300
% 0.23/0.45  % WCLimit    : 300
% 0.23/0.46  % DateTime   : Sun May 26 22:59:09 EDT 2024
% 0.23/0.46  % CPUTime    : 
% 0.50/0.76  %----Proving TF0_NAR, FOF, or CNF
% 0.50/0.77  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.70/10.89  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.75/16.00  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.84/21.09  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.86/26.14  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.94/31.24  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 33.09/33.33  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.nF5yweW2rv/cvc5---1.0.5_18262.smt2
% 33.09/33.33  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.nF5yweW2rv/cvc5---1.0.5_18262.smt2
% 33.21/33.46  (assume a0 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H))) (= V_msg V_msg_H))))
% 33.21/33.46  (assume a1 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H))) (= V_agent V_agent_H))))
% 33.21/33.46  (assume a2 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_x))))
% 33.21/33.46  (assume a3 (forall ((V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OHash V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OHash V_X) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a4 (forall ((T_b $$unsorted)) (or (not (tptp.class_Orderings_Otop T_b)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop T_b)))))
% 33.21/33.46  (assume a5 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_AA $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_x)) (tptp.c_Set_Oimage tptp.c_Public_OshrK V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)))))
% 33.21/33.46  (assume a6 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a7 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a8 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 33.21/33.46  (assume a9 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 33.21/33.46  (assume a10 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 33.21/33.46  (assume a11 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H)))))
% 33.21/33.46  (assume a12 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_x) (not (tptp.c_lessequals V_y V_x T_a)))))
% 33.21/33.46  (assume a13 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_y)) (tptp.c_lessequals V_x V_y T_a))))
% 33.21/33.46  (assume a14 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_y) (not (tptp.c_lessequals V_x V_y T_a)))))
% 33.21/33.46  (assume a15 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a16 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a17 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B)) (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 33.21/33.46  (assume a18 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_List_Oset V_xs T_a) (tptp.c_List_Oset V_ys T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 33.21/33.46  (assume a19 (forall ((V_X $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Set_Oinsert V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a20 (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (not (= (tptp.c_Message_Omsg_OHash V_Z) (tptp.c_Message_OHPair V_X V_Y)))))
% 33.21/33.46  (assume a21 (forall ((T_a $$unsorted)) (tptp.c_List_Odistinct (tptp.c_List_Olist_ONil T_a) T_a)))
% 33.21/33.46  (assume a22 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OHash V_X) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OHash V_X) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a23 (forall ((V_K $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a24 (forall ((V_msg $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OHash V_msg) (tptp.c_Message_Omsg_OHash V_msg_H))) (= V_msg V_msg_H))))
% 33.21/33.46  (assume a25 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a))))
% 33.21/33.46  (assume a26 (forall ((V_G $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Message_Osynth (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a27 (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))
% 33.21/33.46  (assume a28 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Olist_ONil T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a29 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Olist_ONil T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a30 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a31 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a32 (forall ((V_K $$unsorted)) (or (= (tptp.c_Message_OinvKey V_K) V_K) (not (tptp.hBOOL (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat))))))
% 33.21/33.46  (assume a33 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (not (tptp.hBOOL (tptp.c_in V_ys (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))) (not (tptp.hBOOL (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))))
% 33.21/33.46  (assume a34 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 33.21/33.46  (assume a35 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_B V_x))))))
% 33.21/33.46  (assume a36 (forall ((V_B $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_B V_x)) (tptp.hBOOL (tptp.hAPP V_A V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x))))))
% 33.21/33.46  (assume a37 (forall ((V_K $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 33.21/33.46  (assume a38 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_OHPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_Y V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a39 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oremdups (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 33.21/33.46  (assume a40 (forall ((V_K $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_OinvKey V_K) tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat))))))
% 33.21/33.46  (assume a41 (forall ((V_K $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_OinvKey V_K) tptp.c_Message_OsymKeys tptp.tc_nat))))))
% 33.21/33.46  (assume a42 (forall ((V_X $$unsorted) (V_K $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OHash V_X_H) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OHash V_X_H) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a43 (forall ((V_X $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Set_Oinsert V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_Message_Osynth (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a44 (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 33.21/33.46  (assume a45 (forall ((V_G $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a46 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (= V_y V_x) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x))))))
% 33.21/33.46  (assume a47 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Set_Oinsert V_x V_A T_a))))
% 33.21/33.46  (assume a48 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))))
% 33.21/33.46  (assume a49 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))))
% 33.21/33.46  (assume a50 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Otop__class_Otop T_a) V_x T_a) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 33.21/33.46  (assume a51 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Orderings_Otop__class_Otop T_a) T_a) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 33.21/33.46  (assume a52 (forall ((T_a $$unsorted) (V_bs $$unsorted)) (= (tptp.c_List_Olist__inter (tptp.c_List_Olist_ONil T_a) V_bs T_a) (tptp.c_List_Olist_ONil T_a))))
% 33.21/33.46  (assume a53 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_lessequals (tptp.c_Event_OinitState V_A) (tptp.c_Event_Oknows V_A V_evs) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a54 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.c_List_Odistinct V_ys T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 33.21/33.46  (assume a55 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 33.21/33.46  (assume a56 (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= V_ys (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys T_a))))
% 33.21/33.46  (assume a57 (forall ((T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys T_a) V_ys)))
% 33.21/33.46  (assume a58 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= V_xs (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a))))
% 33.21/33.46  (assume a59 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= V_x (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_x T_a))))
% 33.21/33.46  (assume a60 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a) V_xs)))
% 33.21/33.46  (assume a61 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_c $$unsorted) (V_AA $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_x)) (tptp.c_Set_Oimage (tptp.c_Public_OpublicKey V_c) V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)))))
% 33.21/33.46  (assume a62 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 33.21/33.46  (assume a63 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert V_a V_B T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 33.21/33.46  (assume a64 (forall ((V_evs $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oused (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oused V_evs) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a65 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_AA $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.c_Public_OpublicKey V_x) V_xa) (tptp.c_Set_Oimage (tptp.c_Public_OpublicKey V_x) V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in V_xa V_AA tptp.tc_Message_Oagent))))))
% 33.21/33.46  (assume a66 (forall ((V_x $$unsorted) (V_AA $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_AA tptp.tc_Message_Oagent)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_x) (tptp.c_Set_Oimage (tptp.c_Public_OpublicKey V_c) V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat))))))
% 33.21/33.46  (assume a67 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_x $$unsorted) (V_AA $$unsorted)) (or (= V_b V_c) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_x) (tptp.c_Set_Oimage (tptp.c_Public_OpublicKey V_c) V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat))))))
% 33.21/33.46  (assume a68 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Oappend V_xs V_zs T_a))) (= V_ys V_zs))))
% 33.21/33.46  (assume a69 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_ys V_xs T_a) (tptp.c_List_Oappend V_zs V_xs T_a))) (= V_ys V_zs))))
% 33.21/33.46  (assume a70 (forall ((V_K $$unsorted) (V_K_H $$unsorted)) (or (not (= (tptp.c_Message_OinvKey V_K) (tptp.c_Message_OinvKey V_K_H))) (= V_K V_K_H))))
% 33.21/33.46  (assume a71 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 33.21/33.46  (assume a72 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_b V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a73 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a74 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_b T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a75 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (not (= (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A)) (tptp.hAPP (tptp.c_Public_OpublicKey V_c) V_A_H)))))
% 33.21/33.46  (assume a76 (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 33.21/33.46  (assume a77 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_AA $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_x) (tptp.c_Set_Oimage tptp.c_Public_OshrK V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)))))
% 33.21/33.46  (assume a78 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_g $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_b)) (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_f V_g (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP V_f tptp.v_x) (tptp.hAPP V_g tptp.v_x) T_b)))))
% 33.21/33.46  (assume a79 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_A (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 33.21/33.46  (assume a80 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_x T_a) V_x))))
% 33.21/33.46  (assume a81 (forall ((V_G $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a82 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A) (tptp.hAPP (tptp.c_Public_OpublicKey V_c) V_A_H))) (= V_A V_A_H))))
% 33.21/33.46  (assume a83 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A) (tptp.hAPP (tptp.c_Public_OpublicKey V_c) V_A_H))) (= V_b V_c))))
% 33.21/33.46  (assume a84 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_OHPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_Y V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a85 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_y V_A T_a) T_a) (tptp.c_Set_Oinsert V_y (tptp.c_Set_Oinsert V_x V_A T_a) T_a))))
% 33.21/33.46  (assume a86 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_X_H $$unsorted) (V_Y_H $$unsorted)) (or (not (= (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Omsg_OMPair V_X_H V_Y_H))) (= V_X_H (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y))))))
% 33.21/33.46  (assume a87 (forall ((V_G $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a88 (forall ((V_X_H $$unsorted) (V_Y_H $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (or (not (= (tptp.c_Message_OHPair V_X_H V_Y_H) (tptp.c_Message_OHPair V_X V_Y))) (= V_Y_H V_Y))))
% 33.21/33.46  (assume a89 (forall ((V_X_H $$unsorted) (V_Y_H $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (or (not (= (tptp.c_Message_OHPair V_X_H V_Y_H) (tptp.c_Message_OHPair V_X V_Y))) (= V_X_H V_X))))
% 33.21/33.46  (assume a90 (forall ((V_f $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) T_a))))
% 33.21/33.46  (assume a91 (forall ((V_b $$unsorted) (V_A $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A))) (tptp.c_Event_OinitState V_A) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a92 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 33.21/33.46  (assume a93 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 33.21/33.46  (assume a94 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))))
% 33.21/33.46  (assume a95 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 33.21/33.46  (assume a96 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)))))
% 33.21/33.46  (assume a97 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 33.21/33.46  (assume a98 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))))
% 33.21/33.46  (assume a99 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oremdups V_x T_a))) (= V_x (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a100 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a101 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 33.21/33.46  (assume a102 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 33.21/33.46  (assume a103 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a104 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a) (not (tptp.c_lessequals V_b V_x T_a)) (not (tptp.c_lessequals V_a V_x T_a)))))
% 33.21/33.46  (assume a105 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 33.21/33.46  (assume a106 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 33.21/33.46  (assume a107 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) V_x T_a) (not (tptp.c_lessequals V_z V_x T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 33.21/33.46  (assume a108 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_z T_a)))))
% 33.21/33.46  (assume a109 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 33.21/33.46  (assume a110 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 33.21/33.46  (assume a111 (forall ((V_x $$unsorted) (V_AA $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Public_OshrK V_x) (tptp.c_Set_Oimage tptp.c_Public_OshrK V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in V_x V_AA tptp.tc_Message_Oagent))))))
% 33.21/33.46  (assume a112 (forall ((V_x $$unsorted) (V_AA $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_AA tptp.tc_Message_Oagent)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Public_OshrK V_x) (tptp.c_Set_Oimage tptp.c_Public_OshrK V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat))))))
% 33.21/33.46  (assume a113 (forall ((V_X $$unsorted) (V_x $$unsorted)) (= (tptp.c_Message_OHPair V_X V_x) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_x)) V_x))))
% 33.21/33.46  (assume a114 (forall ((V_X $$unsorted) (V_Y $$unsorted)) (= (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) V_Y))))
% 33.21/33.46  (assume a115 (forall ((V_A $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_A) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 33.21/33.46  (assume a116 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a117 (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 33.21/33.46  (assume a118 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Set_Oinsert (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (tptp.c_Set_Oimage V_f V_A T_a T_b)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 33.21/33.46  (assume a119 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))
% 33.21/33.46  (assume a120 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.hBOOL (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a121 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))
% 33.21/33.46  (assume a122 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))
% 33.21/33.46  (assume a123 (forall ((V_X_H $$unsorted) (V_Y_H $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OMPair V_X_H V_Y_H) (tptp.c_Message_OHPair V_X V_Y))) (= V_X_H (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y))))))
% 33.21/33.46  (assume a124 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 33.21/33.46  (assume a125 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a)))))
% 33.21/33.46  (assume a126 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Oinsert V_a V_B T_b) T_b T_a) (tptp.c_Set_Oinsert (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) T_a))))
% 33.21/33.46  (assume a127 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_C V_D (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_D (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a128 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oanalz V_H)) tptp.tc_nat)))))
% 33.21/33.46  (assume a129 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 33.21/33.46  (assume a130 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Otop T_a)) (tptp.c_lessequals V_x (tptp.c_Orderings_Otop__class_Otop T_a) T_a))))
% 33.21/33.46  (assume a131 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_x V_A T_a) V_x))))
% 33.21/33.46  (assume a132 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_x V_B T_a))))))
% 33.21/33.46  (assume a133 (forall ((V_K $$unsorted)) (= (tptp.c_Message_OinvKey (tptp.c_Message_OinvKey V_K)) V_K)))
% 33.21/33.46  (assume a134 (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oremdups V_x T_a) (tptp.c_List_Olist_ONil T_a))) (= V_x (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a135 (forall ((V_b $$unsorted) (V_A $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A)) tptp.c_Message_OsymKeys tptp.tc_nat)))))
% 33.21/33.46  (assume a136 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_xs)) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a137 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= V_xs (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a138 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_ys)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a139 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= V_ys (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a140 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a))))
% 33.21/33.46  (assume a141 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_List_Odistinct (tptp.c_List_Oremdups V_xs T_a) T_a)))
% 33.21/33.46  (assume a142 (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oremdups (tptp.c_List_Olist_ONil T_a) T_a))))
% 33.21/33.46  (assume a143 (forall ((V_agent_H $$unsorted) (V_msg_H $$unsorted) (V_agent $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H) (tptp.c_Event_Oevent_OGets V_agent V_msg)))))
% 33.21/33.46  (assume a144 (forall ((V_A $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_OinitState V_A))))
% 33.21/33.46  (assume a145 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_y V_z T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a)))))
% 33.21/33.46  (assume a146 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a)))))
% 33.21/33.46  (assume a147 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) T_a) (not (tptp.c_lessequals V_x V_b T_a)))))
% 33.21/33.46  (assume a148 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) T_a) (not (tptp.c_lessequals V_x V_a T_a)))))
% 33.21/33.46  (assume a149 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_b V_x T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a)))))
% 33.21/33.46  (assume a150 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_a V_x T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a)))))
% 33.21/33.46  (assume a151 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a152 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a153 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 33.21/33.46  (assume a154 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 33.21/33.46  (assume a155 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x V_x (tptp.tc_fun T_a tptp.tc_bool))))
% 33.21/33.46  (assume a156 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 33.21/33.46  (assume a157 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a158 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a159 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 33.21/33.46  (assume a160 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 33.21/33.46  (assume a161 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 33.21/33.46  (assume a162 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_C $$unsorted)) (not (= (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_C))))))
% 33.21/33.46  (assume a163 (forall ((V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OHash V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 33.21/33.46  (assume a164 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X V_G tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a165 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_Set_Oinsert (tptp.c_Message_OHPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 33.21/33.46  (assume a166 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a167 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_x V_A (tptp.tc_fun T_b tptp.tc_bool))) (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_x T_b T_a) (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 33.21/33.46  (assume a168 (forall ((V_a $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_a V_C T_a) (tptp.c_Set_Oinsert V_a V_D T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_D (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a169 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a))) (= V_xs V_ys))))
% 33.21/33.46  (assume a170 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a))) (= V_x V_y))))
% 33.21/33.46  (assume a171 (forall ((V_xs $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (not (tptp.hBOOL (tptp.c_in (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))))
% 33.21/33.46  (assume a172 (forall ((V_ys $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_ys (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (not (tptp.hBOOL (tptp.c_in (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))))
% 33.21/33.46  (assume a173 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 33.21/33.46  (assume a174 (forall ((V_b $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_C)) (tptp.hAPP tptp.c_Public_OshrK V_A)))))
% 33.21/33.46  (assume a175 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 33.21/33.46  (assume a176 (forall ((V_X $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Set_Oinsert V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a177 (forall ((V_G $$unsorted) (V_H $$unsorted) (V_G_H $$unsorted) (V_H_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G_H V_H_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Oanalz V_H_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_G_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a178 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_ys T_a) V_zs T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_ys V_zs T_a) T_a))))
% 33.21/33.46  (assume a179 (forall ((V_xs $$unsorted) (V_xs1 $$unsorted) (V_us $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_xs1 V_us T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_xs1 T_a) V_us T_a))))
% 33.21/33.46  (assume a180 (forall ((V_zs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oappend V_zs V_x T_a) V_ys T_a) (tptp.c_List_Oappend V_zs (tptp.c_List_Oappend V_x V_ys T_a) T_a))))
% 33.21/33.46  (assume a181 (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_ts $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_x V_ts T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_x T_a) V_ts T_a))))
% 33.21/33.46  (assume a182 (forall ((V_c $$unsorted) (V_A_H $$unsorted) (V_b $$unsorted) (V_A $$unsorted)) (not (= (tptp.hAPP (tptp.c_Public_OpublicKey V_c) V_A_H) (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A))))))
% 33.21/33.46  (assume a183 (forall ((V_X $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Public_OshrK V_X) tptp.c_Message_OsymKeys tptp.tc_nat))))
% 33.21/33.46  (assume a184 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 33.21/33.46  (assume a185 (forall ((V_K $$unsorted) (V_nE $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_nE tptp.tc_nat tptp.tc_Message_Omsg) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a186 (forall ((V_K $$unsorted) (V_nE $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_nE tptp.tc_nat tptp.tc_Message_Omsg) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_nE tptp.tc_nat tptp.tc_Message_Omsg) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a187 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A))) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a188 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a189 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)) (= V_A tptp.c_Message_Oagent_OSpy))))
% 33.21/33.46  (assume a190 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset V_xs T_a) (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 33.21/33.46  (assume a191 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a))))
% 33.21/33.46  (assume a192 (forall ((V_c $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_G) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a193 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals V_G (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts V_G) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a194 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a195 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_G $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_a V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_G) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a196 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Set_Oinsert V_Y V_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a197 (forall ((V_X $$unsorted) (V_K $$unsorted) (V_X_H $$unsorted) (V_Y $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X_H V_Y) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X_H V_Y) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a198 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_G $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_a V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a199 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_G $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_G (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a200 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oanalz V_H)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a201 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a202 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals V_G (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a203 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_Y $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a204 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X (tptp.c_Set_Oinsert V_Y V_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a205 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a206 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a207 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a208 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a209 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a210 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a211 (forall ((V_N $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_N tptp.tc_nat tptp.tc_Message_Omsg)) (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_N tptp.tc_nat tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a212 (forall ((V_K $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a213 (forall ((V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a214 (forall ((V_Z $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_Z (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a215 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OHash V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OHash V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a216 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a217 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals V_G (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth V_G) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a218 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OHash V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a219 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_K_H $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K_H) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K_H) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a220 (forall ((V_K $$unsorted) (V_G $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (tptp.c_lessequals V_H V_G (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a221 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg))) (not (tptp.c_lessequals V_H V_G (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a222 (forall ((V_N $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_N tptp.tc_nat tptp.tc_Message_Omsg)) (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_N tptp.tc_nat tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a223 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Osynth V_H)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_H) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 33.21/33.46  (assume a224 (forall ((V_agt $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_agt) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_agt) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a225 (forall ((V_X $$unsorted) (V_K $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_C) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_C) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a226 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a)))))
% 33.21/33.46  (assume a227 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 33.21/33.46  (assume a228 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)))))
% 33.21/33.46  (assume a229 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)))))
% 33.21/33.46  (assume a230 (forall ((V_K $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_OinvKey V_K) (tptp.c_Message_OkeysFor V_H) tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a231 (forall ((V_X $$unsorted) (V_x $$unsorted)) (= (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_x)) V_x) (tptp.c_Message_OHPair V_X V_x))))
% 33.21/33.46  (assume a232 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oremdups V_xs T_a) V_xs)) (tptp.c_List_Odistinct V_xs T_a))))
% 33.21/33.46  (assume a233 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Oremdups V_xs T_a) V_xs) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 33.21/33.46  (assume a234 (forall ((V_b $$unsorted) (V_A $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A) tptp.c_Message_OsymKeys tptp.tc_nat)))))
% 33.21/33.46  (assume a235 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a))))
% 33.21/33.46  (assume a236 (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_ONil T_a) T_a))))
% 33.21/33.46  (assume a237 (forall ((V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OHash V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OHash V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a238 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) T_a) (tptp.c_Set_Oimage V_f (tptp.c_Set_Oinsert V_a V_B T_b) T_b T_a))))
% 33.21/33.46  (assume a239 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 33.21/33.46  (assume a240 (forall ((V_x $$unsorted) (V_b $$unsorted) (V_AA $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Public_OshrK V_x) (tptp.c_Set_Oimage (tptp.c_Public_OpublicKey V_b) V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)))))
% 33.21/33.46  (assume a241 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_g V_x) T_b) (not (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b))))))
% 33.21/33.46  (assume a242 (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_K (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a243 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 33.21/33.46  (assume a244 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_B T_a) T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_B T_a))))))
% 33.21/33.46  (assume a245 (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a246 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 33.21/33.46  (assume a247 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a248 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.46  (assume a249 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))))
% 33.21/33.46  (assume a250 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_B T_a))))))
% 33.21/33.46  (assume a251 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a V_A T_a)) (= V_a V_b) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a))))))
% 33.21/33.46  (assume a252 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 33.21/33.46  (assume a253 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 33.21/33.46  (assume a254 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a))))
% 33.21/33.46  (assume a255 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_a V_B T_a) T_a))))
% 33.21/33.46  (assume a256 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_B T_a) T_a))))
% 33.21/33.46  (assume a257 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_x V_A T_a) (tptp.c_Set_Oinsert V_x V_B T_a))) (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (tptp.hBOOL (tptp.c_in V_x V_A T_a)) (= V_A V_B))))
% 33.21/33.46  (assume a258 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 33.21/33.46  (assume a259 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_aa $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x V_A T_aa))) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_aa T_a) T_a)))))
% 33.21/33.46  (assume a260 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))))
% 33.21/33.46  (assume a261 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))))))
% 33.21/33.46  (assume a262 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 33.21/33.46  (assume a263 (forall ((T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a)))))
% 33.21/33.46  (assume a264 (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xa T_a) V_zs T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xa V_zs T_a) T_a))))
% 33.21/33.46  (assume a265 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xs T_a) V_ys T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xs V_ys T_a) T_a))))
% 33.21/33.46  (assume a266 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_zs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xa V_zs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xa T_a) V_zs T_a))))
% 33.21/33.46  (assume a267 (forall ((V_x $$unsorted) (V_xs1 $$unsorted) (V_zs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xs1 V_zs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xs1 T_a) V_zs T_a))))
% 33.21/33.46  (assume a268 (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_xa T_a) (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a269 (forall ((V_a_H $$unsorted) (V_list_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_a_H V_list_H T_a) (tptp.c_List_Olist_ONil T_a)))))
% 33.21/33.46  (assume a270 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 33.21/33.46  (assume a271 (forall ((V_msg1_H $$unsorted) (V_msg2_H $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H) (tptp.c_Message_Omsg_OHash V_msg)))))
% 33.21/33.46  (assume a272 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_X_H $$unsorted) (V_Y_H $$unsorted)) (or (not (= (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Omsg_OMPair V_X_H V_Y_H))) (= V_Y_H V_Y))))
% 33.21/33.46  (assume a273 (forall ((V_msg $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OHash V_msg) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))))
% 33.21/33.46  (assume a274 (forall ((V_X_H $$unsorted) (V_Y_H $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OMPair V_X_H V_Y_H) (tptp.c_Message_OHPair V_X V_Y))) (= V_Y_H V_Y))))
% 33.21/33.46  (assume a275 (forall ((V_Y $$unsorted) (V_G $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a276 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Oremdups V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a))))
% 33.21/33.46  (assume a277 (forall ((V_x $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_x) (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_A tptp.tc_nat tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_x V_A tptp.tc_nat))))))
% 33.21/33.46  (assume a278 (forall ((V_x $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_A tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_x) (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_A tptp.tc_nat tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a279 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A)) (tptp.c_Event_OinitState V_B) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a280 (forall ((V_X $$unsorted) (V_A $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OHash V_X) (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_A tptp.tc_nat tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a281 (forall ((V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg)) (tptp.c_Message_Oanalz V_G)) (not (tptp.c_lessequals V_H V_G (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a282 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 33.21/33.46  (assume a283 (forall ((V_H $$unsorted)) (tptp.c_lessequals V_H (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a284 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a285 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a286 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals V_G (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a287 (forall ((V_K $$unsorted) (V_nE $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_nE tptp.tc_nat tptp.tc_Message_Omsg) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_K V_nE tptp.tc_nat))) (not (tptp.hBOOL (tptp.c_in V_K V_nE tptp.tc_nat))))))
% 33.21/33.46  (assume a288 (forall ((V_K $$unsorted) (V_nE $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_nE tptp.tc_nat tptp.tc_Message_Omsg) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_K V_nE tptp.tc_nat))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_nE tptp.tc_nat tptp.tc_Message_Omsg) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a289 (forall ((V_K $$unsorted) (V_nE $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_nE tptp.tc_nat tptp.tc_Message_Omsg) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_K V_nE tptp.tc_nat))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a290 (forall ((V_K $$unsorted) (V_nE $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_nE tptp.tc_nat tptp.tc_Message_Omsg) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_K V_nE tptp.tc_nat))))))
% 33.21/33.46  (assume a291 (forall ((V_K $$unsorted) (V_X_H $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_K V_X_H) (tptp.c_Message_OHPair V_X V_Y)))))
% 33.21/33.46  (assume a292 (forall ((V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OHash V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H)))))
% 33.21/33.46  (assume a293 (forall ((V_nat_H $$unsorted) (V_msg_H $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H) (tptp.c_Message_Omsg_OHash V_msg)))))
% 33.21/33.46  (assume a294 (forall ((V_K $$unsorted) (V_H $$unsorted) (V_G $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat))))))
% 33.21/33.46  (assume a295 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_G)) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_G)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a296 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a297 (forall ((V_msg_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OHash V_msg_H) (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat)))))
% 33.21/33.46  (assume a298 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (not (= (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_OHPair V_X V_Y)))))
% 33.21/33.46  (assume a299 (forall ((V_nat $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat) (tptp.c_Message_Omsg_OHash V_msg_H)))))
% 33.21/33.46  (assume a300 (forall ((V_H $$unsorted) (V_H_H $$unsorted) (V_X $$unsorted)) (or (not (= (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Oanalz V_H_H))) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H_H tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a301 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a302 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a303 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals V_G (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a304 (forall ((V_H $$unsorted)) (tptp.c_lessequals V_H (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a305 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oanalz V_G) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a306 (forall ((V_H $$unsorted) (V_H_H $$unsorted) (V_G $$unsorted) (V_G_H $$unsorted)) (or (not (= (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Oanalz V_H_H))) (not (= (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_G_H))) (= (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G_H V_H_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))))
% 33.21/33.46  (assume a307 (forall ((V_H $$unsorted)) (tptp.c_lessequals V_H (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a308 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a309 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a310 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals V_G (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a311 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (not (= (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_OHPair V_X V_Y)))))
% 33.21/33.46  (assume a312 (forall ((V_msg_H $$unsorted) (V_agent $$unsorted)) (not (= (tptp.c_Message_Omsg_OHash V_msg_H) (tptp.c_Message_Omsg_OAgent V_agent)))))
% 33.21/33.46  (assume a313 (forall ((V_agent $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.c_Message_Omsg_OHash V_msg_H)))))
% 33.21/33.46  (assume a314 (forall ((V_nat $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OHash V_msg_H)))))
% 33.21/33.46  (assume a315 (forall ((V_N $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_OHPair V_X V_Y)))))
% 33.21/33.46  (assume a316 (forall ((V_msg_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OHash V_msg_H) (tptp.c_Message_Omsg_ONonce V_nat)))))
% 33.21/33.46  (assume a317 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H)))))
% 33.21/33.46  (assume a318 (forall ((V_agent_H $$unsorted) (V_msg_H $$unsorted) (V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H) (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg)))))
% 33.21/33.46  (assume a319 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_C $$unsorted)) (not (= (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_C)))))
% 33.21/33.46  (assume a320 (forall ((V_b $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (not (= (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_C) (tptp.hAPP tptp.c_Public_OshrK V_A)))))
% 33.21/33.46  (assume a321 (forall ((V_A $$unsorted)) (= (tptp.c_Message_OinvKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.hAPP tptp.c_Public_OshrK V_A))))
% 33.21/33.46  (assume a322 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A_H V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a323 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a324 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a325 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a326 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_G)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 33.21/33.46  (assume a327 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Osynth V_H)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 33.21/33.46  (assume a328 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth V_G) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Message_Osynth V_G) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 33.21/33.46  (assume a329 (forall ((V_K $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_C) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_C) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a330 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a331 (forall ((V_agt $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_agt) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_agt) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a332 (forall ((V_X $$unsorted) (V_K $$unsorted) (V_N $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a333 (forall ((V_K $$unsorted) (V_N $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a334 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a335 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_KAB $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (= V_K V_KAB) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_KAB (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a336 (forall ((V_K $$unsorted) (V_KAB $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_KAB (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a337 (forall ((V_x $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_x) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Message_Omsg_OKey V_x) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a338 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_e $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons V_e V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a339 (tptp.hBOOL (tptp.c_in (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))
% 33.21/33.46  (assume a340 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oused (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oused V_evs))))
% 33.21/33.46  (assume a341 (forall ((V_X $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_OinitState tptp.c_Message_Oagent_OSpy) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_ONotes (tptp.c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 V_X V_evs) V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 V_X V_evs) (tptp.c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2 V_X V_evs) V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a342 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_OinitState V_A) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OGets V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A (tptp.c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 V_A V_X V_evs) V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= V_A tptp.c_Message_Oagent_OSpy) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a343 (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (not (tptp.hBOOL (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a344 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 33.21/33.46  (assume a345 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Oremdups (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oremdups V_xs T_a) T_a)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 33.21/33.46  (assume a346 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))) (not (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 33.21/33.46  (assume a347 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Olength__unique (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olength__unique V_xs T_a)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))))))
% 33.21/33.46  (assume a348 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Oappend V_xa (tptp.c_List_Olist_OCons V_x V_xb T_a) T_a) T_a) T_a))))
% 33.21/33.46  (assume a349 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Oappend V_xa (tptp.c_List_Olist_OCons V_x V_xb T_a) T_a) T_a) T_a)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xb T_a) T_a)))))
% 33.21/33.46  (assume a350 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Oappend V_xa (tptp.c_List_Olist_OCons V_x V_xb T_a) T_a) T_a) T_a)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xa T_a) T_a)))))
% 33.21/33.46  (assume a351 (forall ((V_a $$unsorted) (V_as $$unsorted) (T_a $$unsorted) (V_bs $$unsorted)) (or (= (tptp.c_List_Olist__inter (tptp.c_List_Olist_OCons V_a V_as T_a) V_bs T_a) (tptp.c_List_Olist__inter V_as V_bs T_a)) (tptp.hBOOL (tptp.c_in V_a (tptp.c_List_Oset V_bs T_a) T_a)))))
% 33.21/33.46  (assume a352 (forall ((V_a $$unsorted) (V_as $$unsorted) (T_a $$unsorted) (V_bs $$unsorted)) (or (= (tptp.c_List_Olist__inter (tptp.c_List_Olist_OCons V_a V_as T_a) V_bs T_a) (tptp.c_List_Olist_OCons V_a (tptp.c_List_Olist__inter V_as V_bs T_a) T_a)) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_List_Oset V_bs T_a) T_a))))))
% 33.21/33.46  (assume a353 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Oremdups (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Oremdups V_xs T_a)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))))))
% 33.21/33.46  (assume a354 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_B $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts (tptp.c_Event_OinitState V_B)) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a355 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))) (not (tptp.hBOOL (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))))
% 33.21/33.46  (assume a356 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_A $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_A tptp.tc_nat tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a357 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a358 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a359 (forall ((V_N $$unsorted) (V_B $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Oparts (tptp.c_Event_OinitState V_B)) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a360 (forall ((V_x $$unsorted) (V_A $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_x) (tptp.c_Set_Oimage tptp.c_Message_Omsg_OKey V_A tptp.tc_nat tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a361 (forall ((V_A $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Event_OinitState V_A) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a362 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_OinitState V_B)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a363 (forall ((V_K $$unsorted) (V_X $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Event_Oused (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a364 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a365 (forall ((V_N $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Event_Oused (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a366 (forall ((V_evs $$unsorted)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce (tptp.c_Public_Osko__Public__XNonce__supply1__1__1 V_evs)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a367 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))))))
% 33.21/33.46  (assume a368 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))))
% 33.21/33.46  (assume a369 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A_H V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a370 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a371 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a372 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A_H V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a373 (= (tptp.c_NS__Shared__Mirabelle_Ons__sharedp tptp.v_x) (tptp.c_in tptp.v_x tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))
% 33.21/33.46  (assume a374 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_K_H $$unsorted) (V_N $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_K (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt V_K_H (tptp.c_Message_Omsg_OMPair V_N (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a375 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a376 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a377 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a378 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a379 (forall ((V_evs $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) (tptp.c_Event_Oused V_evs) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a380 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a381 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a382 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 33.21/33.46  (assume a383 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_K (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a384 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a385 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a386 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a387 (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a388 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_K $$unsorted) (V_S $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_K (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a389 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OGets V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (= V_A tptp.c_Message_Oagent_OSpy))))
% 33.21/33.46  (assume a390 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs5 $$unsorted) (V_S $$unsorted) (V_NA $$unsorted) (V_X $$unsorted) (V_B_H $$unsorted)) (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Omsg_ONonce V_NB)))) V_evs5 tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs5 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_B_H V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_List_Oset V_evs5 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat))) (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evs5))))))
% 33.21/33.46  (assume a391 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs5 $$unsorted) (V_S $$unsorted) (V_NA $$unsorted) (V_X $$unsorted) (V_B_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Omsg_ONonce V_NB)))) V_evs5 tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs5 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_B_H V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_List_Oset V_evs5 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat))) (not (tptp.hBOOL (tptp.c_in V_evs5 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a392 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))))))
% 33.21/33.46  (assume a393 (forall ((V_B $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs4 $$unsorted) (V_A_H $$unsorted)) (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_B V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) V_evs4 tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A_H V_B (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (tptp.c_List_Oset V_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Event_Oused V_evs4) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evs4))))))
% 33.21/33.46  (assume a394 (forall ((V_B $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs4 $$unsorted) (V_A_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_B V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) V_evs4 tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A_H V_B (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (tptp.c_List_Oset V_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Event_Oused V_evs4) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_evs4 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a395 (forall ((V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_KAB $$unsorted) (V_evs2 $$unsorted) (V_A_H $$unsorted)) (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Message_Omsg_OAgent V_A)))))))) V_evs2 tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A_H tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) (tptp.c_List_Oset V_evs2 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in V_KAB tptp.c_Message_OsymKeys tptp.tc_nat))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Event_Oused V_evs2) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evs2))))))
% 33.21/33.46  (assume a396 (forall ((V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_KAB $$unsorted) (V_evs2 $$unsorted) (V_A_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Message_Omsg_OAgent V_A)))))))) V_evs2 tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A_H tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) (tptp.c_List_Oset V_evs2 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in V_KAB tptp.c_Message_OsymKeys tptp.tc_nat))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Event_Oused V_evs2) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_evs2 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a397 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 V_A V_B V_K V_evs) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (tptp.hBOOL (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a398 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_K_H $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (tptp.hBOOL (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 V_K V_NA V_evs) (tptp.hAPP tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt V_K_H (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a399 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_A $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 V_K V_NA V_evs) (tptp.hAPP tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (tptp.hBOOL (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a400 (forall ((V_NA $$unsorted) (V_NB $$unsorted) (V_K $$unsorted) (V_evso $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.hAPP tptp.c_Message_Omsg_OKey V_K)))) V_evso tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evso tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_B V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_List_Oset V_evso tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evso))))))
% 33.21/33.46  (assume a401 (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a402 (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a403 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a404 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a405 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a406 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a407 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a408 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a409 (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a410 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_evs1 $$unsorted)) (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) V_evs1 tptp.tc_Event_Oevent))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Event_Oused V_evs1) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evs1))))))
% 33.21/33.46  (assume a411 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) V_X) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a412 (forall ((V_B $$unsorted) (V_evs $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_B)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a413 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a414 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))))))
% 33.21/33.46  (assume a415 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a416 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a417 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a418 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a419 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))))
% 33.21/33.46  (assume a420 (forall ((V_agent_H $$unsorted) (V_msg_H $$unsorted) (V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H) (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg)))))
% 33.21/33.46  (assume a421 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H)))))
% 33.21/33.46  (assume a422 (not (tptp.hBOOL (tptp.c_in tptp.c_Message_Oagent_OServer tptp.c_Event_Obad tptp.tc_Message_Oagent))))
% 33.21/33.46  (assume a423 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_ONotes V_agent V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H))) (= V_msg V_msg_H))))
% 33.21/33.46  (assume a424 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_ONotes V_agent V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H))) (= V_agent V_agent_H))))
% 33.21/33.46  (assume a425 (tptp.hBOOL (tptp.c_in tptp.c_Message_Oagent_OSpy tptp.c_Event_Obad tptp.tc_Message_Oagent)))
% 33.21/33.46  (assume a426 (forall ((V_B $$unsorted) (V_X $$unsorted) (V_evsf $$unsorted)) (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy V_B V_X) V_evsf tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evsf))) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evsf))))))
% 33.21/33.46  (assume a427 (forall ((V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (tptp.hBOOL (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a428 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_evs1 $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) V_evs1 tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Event_Oused V_evs1) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_evs1 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a429 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs3 $$unsorted) (V_NA $$unsorted) (V_S $$unsorted) (V_K $$unsorted)) (or (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs3 tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) (tptp.c_List_Oset V_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (= V_A tptp.c_Message_Oagent_OServer) (not (tptp.hBOOL (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evs3))))))
% 33.21/33.46  (assume a430 (forall ((V_NA $$unsorted) (V_NB $$unsorted) (V_K $$unsorted) (V_evso $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.hAPP tptp.c_Message_Omsg_OKey V_K)))) V_evso tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evso tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_B V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_List_Oset V_evso tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in V_evso tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a431 (forall ((V_agent $$unsorted) (V_agent_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.c_Message_Omsg_OAgent V_agent_H))) (= V_agent V_agent_H))))
% 33.21/33.46  (assume a432 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))
% 33.21/33.46  (assume a433 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a434 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a435 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a436 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oanalz V_H))))
% 33.21/33.46  (assume a437 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a438 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a439 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a440 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a441 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_list V_list_H))))
% 33.21/33.46  (assume a442 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_a V_a_H))))
% 33.21/33.46  (assume a443 (forall ((V_nat_H $$unsorted) (V_msg_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H) (tptp.c_Message_Omsg_ONonce V_nat)))))
% 33.21/33.46  (assume a444 (forall ((V_agent $$unsorted) (V_nat_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat_H)))))
% 33.21/33.46  (assume a445 (forall ((V_nat_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat_H) (tptp.c_Message_Omsg_ONonce V_nat)))))
% 33.21/33.46  (assume a446 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H))))
% 33.21/33.46  (assume a447 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent2 V_agent2_H))))
% 33.21/33.46  (assume a448 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_msg V_msg_H))))
% 33.21/33.46  (assume a449 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X V_H tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a450 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X V_H tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a451 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a452 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a453 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a454 (forall ((V_B $$unsorted) (V_X $$unsorted) (V_evsf $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy V_B V_X) V_evsf tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evsf))) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_evsf tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a455 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_S $$unsorted) (V_A $$unsorted) (V_KA $$unsorted) (V_N $$unsorted) (V_B $$unsorted) (V_K $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt V_KA (tptp.c_Message_Omsg_OMPair V_N (tptp.c_Message_Omsg_OMPair V_B (tptp.c_Message_Omsg_OMPair V_K V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a456 (forall ((V_nat_H $$unsorted) (V_msg_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H) (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat)))))
% 33.21/33.46  (assume a457 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oparts V_H)) (tptp.c_Message_Oparts V_H))))
% 33.21/33.46  (assume a458 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat_H)))))
% 33.21/33.46  (assume a459 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Oparts V_H)) (tptp.c_Message_Oparts V_H))))
% 33.21/33.46  (assume a460 (forall ((V_msg1_H $$unsorted) (V_msg2_H $$unsorted) (V_agent $$unsorted)) (not (= (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H) (tptp.c_Message_Omsg_OAgent V_agent)))))
% 33.21/33.46  (assume a461 (forall ((V_K_H $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_N $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_X $$unsorted)) (or (= V_K_H (tptp.hAPP tptp.c_Public_OshrK V_A)) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt V_K_H (tptp.c_Message_Omsg_OMPair V_N (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a462 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a463 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a464 (forall ((V_nat_H $$unsorted) (V_agent $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat_H) (tptp.c_Message_Omsg_OAgent V_agent)))))
% 33.21/33.46  (assume a465 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a466 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a467 (not (= tptp.c_Message_Oagent_OServer tptp.c_Message_Oagent_OSpy)))
% 33.21/33.46  (assume a468 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a469 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Message_Oparts V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a470 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a471 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a472 (forall ((V_A $$unsorted) (V_A_H $$unsorted) (V_evs $$unsorted) (V_NA_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_X_H $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (= V_A V_A_H) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair V_NA_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X_H))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a473 (forall ((V_NA $$unsorted) (V_NA_H $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (= V_NA V_NA_H) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair V_NA_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X_H))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a474 (forall ((V_B $$unsorted) (V_B_H $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_NA_H $$unsorted) (V_K $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_X $$unsorted)) (or (= V_B V_B_H) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair V_NA_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X_H))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a475 (forall ((V_X $$unsorted) (V_X_H $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_NA_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted)) (or (= V_X V_X_H) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair V_NA_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X_H))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a476 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat) (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat_H))) (= V_nat V_nat_H))))
% 33.21/33.46  (assume a477 (forall ((V_agent $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))))
% 33.21/33.46  (assume a478 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a479 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_K (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_B (tptp.c_Message_Omsg_OMPair V_K V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a480 (forall ((V_agent $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H)))))
% 33.21/33.46  (assume a481 (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))))
% 33.21/33.46  (assume a482 (forall ((V_msg1 $$unsorted) (V_msg2 $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OMPair V_msg1 V_msg2) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H)))))
% 33.21/33.46  (assume a483 (forall ((V_nat_H $$unsorted) (V_msg_H $$unsorted) (V_agent $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H) (tptp.c_Message_Omsg_OAgent V_agent)))))
% 33.21/33.46  (assume a484 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a485 (forall ((V_nat_H $$unsorted) (V_agent $$unsorted)) (not (= (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat_H) (tptp.c_Message_Omsg_OAgent V_agent)))))
% 33.21/33.46  (assume a486 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a487 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_ONonce V_nat_H))) (= V_nat V_nat_H))))
% 33.21/33.46  (assume a488 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_S T_a)) (not (tptp.hBOOL (tptp.hAPP V_S V_x))))))
% 33.21/33.46  (assume a489 (forall ((V_S $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_S V_x)) (not (tptp.hBOOL (tptp.c_in V_x V_S T_a))))))
% 33.21/33.46  (assume a490 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H)))))
% 33.21/33.46  (assume a491 (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_nat V_nat_H))))
% 33.21/33.46  (assume a492 (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H))))
% 33.21/33.46  (assume a493 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_S $$unsorted) (V_NA $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a494 (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))))
% 33.21/33.46  (assume a495 (forall ((V_agent $$unsorted) (V_nat_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.c_Message_Omsg_ONonce V_nat_H)))))
% 33.21/33.46  (assume a496 (forall ((V_msg1 $$unsorted) (V_msg2 $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OMPair V_msg1 V_msg2) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H))) (= V_msg1 V_msg1_H))))
% 33.21/33.46  (assume a497 (forall ((V_msg1 $$unsorted) (V_msg2 $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OMPair V_msg1 V_msg2) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H))) (= V_msg2 V_msg2_H))))
% 33.21/33.46  (assume a498 (forall ((V_agt $$unsorted) (V_H $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OAgent V_agt) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a499 (forall ((V_A $$unsorted) (V_H $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a500 (not (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer)))
% 33.21/33.46  (assume a501 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X V_H tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a502 (forall ((V_msg1_H $$unsorted) (V_msg2_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H) (tptp.c_Message_Omsg_ONonce V_nat)))))
% 33.21/33.46  (assume a503 (forall ((V_nat_H $$unsorted) (V_msg_H $$unsorted) (V_msg1 $$unsorted) (V_msg2 $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H) (tptp.c_Message_Omsg_OMPair V_msg1 V_msg2)))))
% 33.21/33.46  (assume a504 (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_K_H $$unsorted) (V_N $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.hBOOL (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt V_K_H (tptp.c_Message_Omsg_OMPair V_N (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))
% 33.21/33.46  (assume a505 (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))))
% 33.21/33.46  (assume a506 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a507 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a508 (forall ((V_K $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a509 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Osynth V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a510 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Osynth (tptp.c_Message_Osynth V_H)) (tptp.c_Message_Osynth V_H))))
% 33.21/33.46  (assume a511 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a512 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs3 $$unsorted) (V_NA $$unsorted) (V_S $$unsorted) (V_K $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs3 tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_A tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) (tptp.c_List_Oset V_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (= V_A tptp.c_Message_Oagent_OServer) (not (tptp.hBOOL (tptp.c_in V_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))))))
% 33.21/33.46  (assume a513 (forall ((V_x $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_t T_a) V_t))))
% 33.21/33.46  (assume a514 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (not (= V_xs (tptp.c_List_Olist_OCons V_x V_xs T_a)))))
% 33.21/33.46  (assume a515 (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a516 (forall ((V_msg1_H $$unsorted) (V_msg2_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H) (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat)))))
% 33.21/33.46  (assume a517 (forall ((V_N $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a518 (forall ((V_N $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a519 (forall ((V_n $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_n) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_ONonce V_n) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a520 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a521 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.hAPP tptp.c_Message_Omsg_OKey V_nat) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H)))))
% 33.21/33.46  (assume a522 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Public_OshrK V_x) (tptp.hAPP tptp.c_Public_OshrK V_y))) (= V_x V_y))))
% 33.21/33.46  (assume a523 (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume a524 (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a525 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))))
% 33.21/33.46  (assume a526 (tptp.hBOOL (tptp.c_in tptp.v_evsf tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))
% 33.21/33.46  (assume a527 (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))
% 33.21/33.46  (assume a528 (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a529 (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))
% 33.21/33.46  (assume a530 (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))
% 33.21/33.46  (assume a531 (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 33.21/33.46  (assume a532 (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume a533 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Oupper__semilattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 33.21/33.46  (assume a534 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Obounded__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Obounded__lattice T_1)))))
% 33.21/33.46  (assume a535 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))))
% 33.21/33.46  (assume a536 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Olattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 33.21/33.46  (assume a537 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))))
% 33.21/33.46  (assume a538 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Otop (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Otop T_1)))))
% 33.21/33.46  (assume a539 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Oord (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Oord T_1)))))
% 33.21/33.46  (assume a540 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat))
% 33.21/33.46  (assume a541 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 33.21/33.46  (assume a542 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 33.21/33.46  (assume a543 (tptp.class_Lattices_Olattice tptp.tc_nat))
% 33.21/33.46  (assume a544 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 33.21/33.46  (assume a545 (tptp.class_HOL_Oord tptp.tc_nat))
% 33.21/33.46  (assume a546 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool))
% 33.21/33.46  (assume a547 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool))
% 33.21/33.46  (assume a548 (tptp.class_Orderings_Opreorder tptp.tc_bool))
% 33.21/33.46  (assume a549 (tptp.class_Lattices_Olattice tptp.tc_bool))
% 33.21/33.46  (assume a550 (tptp.class_Orderings_Oorder tptp.tc_bool))
% 33.21/33.46  (assume a551 (tptp.class_Orderings_Otop tptp.tc_bool))
% 33.21/33.46  (assume a552 (tptp.class_HOL_Oord tptp.tc_bool))
% 33.21/33.46  (assume a553 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_fequal V_x V_x T_a)))
% 33.21/33.46  (assume a554 (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.c_fequal V_X V_Y T_a)))))
% 33.21/33.46  (step t1 (cl (not (= (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule equiv_pos2)
% 33.21/33.46  (step t2 (cl (= (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))))) :rule refl)
% 33.21/33.46  (step t3 (cl (= (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule refl)
% 33.21/33.46  (step t4 (cl (= (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))))) :rule refl)
% 33.21/33.46  (step t5 (cl (= (= (= (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) true) (= (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule equiv_simplify)
% 33.21/33.46  (step t6 (cl (not (= (= (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) true)) (= (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule equiv1 :premises (t5))
% 33.21/33.46  (step t7 (cl (= (= (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))))) :rule all_simplify)
% 33.21/33.46  (step t8 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule refl)
% 33.21/33.46  (step t9 (cl (= (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule all_simplify)
% 33.21/33.46  (step t10 (cl (= (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule cong :premises (t8 t9))
% 33.21/33.46  (step t11 (cl (= (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) true)) :rule all_simplify)
% 33.21/33.46  (step t12 (cl (= (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) true)) :rule trans :premises (t10 t11))
% 33.21/33.46  (step t13 (cl (= (= (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) true)) :rule trans :premises (t7 t12))
% 33.21/33.46  (step t14 (cl (= (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t6 t13))
% 33.21/33.46  (step t15 (cl (= (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule cong :premises (t2 t3 t4 t14))
% 33.21/33.46  (step t16 (cl (not (= (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))))) (not (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule equiv_pos2)
% 33.21/33.46  (step t17 (cl (= (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule refl)
% 33.21/33.46  (step t18 (cl (= (= (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false) (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))))) :rule equiv_simplify)
% 33.21/33.46  (step t19 (cl (= (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false) (not (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))))) :rule equiv2 :premises (t18))
% 33.21/33.46  (step t20 (cl (not (not (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule not_not)
% 33.21/33.46  (step t21 (cl (= (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t19 t20))
% 33.21/33.46  (step t22 (cl (=> (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 33.21/33.46  (anchor :step t23)
% 33.21/33.46  (assume t23.a0 (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))
% 33.21/33.46  (assume t23.a1 (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume t23.a2 (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))
% 33.21/33.46  (assume t23.a3 (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))
% 33.21/33.46  (step t23.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 33.21/33.46  (step t23.t2 (cl (= (= true false) false)) :rule all_simplify)
% 33.21/33.46  (step t23.t3 (cl (= (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) true) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 33.21/33.46  (step t23.t4 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) true) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule equiv2 :premises (t23.t3))
% 33.21/33.46  (step t23.t5 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) true)) :rule resolution :premises (t23.t4 t23.a3))
% 33.21/33.46  (step t23.t6 (cl (= true (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule symm :premises (t23.t5))
% 33.21/33.46  (step t23.t7 (cl (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) :rule refl)
% 33.21/33.46  (step t23.t8 (cl (= (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) :rule symm :premises (t23.a2))
% 33.21/33.46  (step t23.t9 (cl (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule symm :premises (t23.t8))
% 33.21/33.46  (step t23.t10 (cl (= (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule cong :premises (t23.t9))
% 33.21/33.46  (step t23.t11 (cl (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule cong :premises (t23.t10))
% 33.21/33.46  (step t23.t12 (cl (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))))) :rule symm :premises (t23.a1))
% 33.21/33.46  (step t23.t13 (cl (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))))) :rule trans :premises (t23.t11 t23.t12))
% 33.21/33.46  (step t23.t14 (cl (= tptp.tc_Message_Omsg tptp.tc_Message_Omsg)) :rule refl)
% 33.21/33.46  (step t23.t15 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) :rule cong :premises (t23.t7 t23.t13 t23.t14))
% 33.21/33.46  (step t23.t16 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule cong :premises (t23.t15))
% 33.21/33.46  (step t23.t17 (cl (= (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) false) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule equiv_simplify)
% 33.21/33.46  (step t23.t18 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) false) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule equiv2 :premises (t23.t17))
% 33.21/33.46  (step t23.t19 (cl (not (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) :rule not_not)
% 33.21/33.46  (step t23.t20 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) false) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) :rule resolution :premises (t23.t18 t23.t19))
% 33.21/33.46  (step t23.t21 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) false)) :rule resolution :premises (t23.t20 t23.a0))
% 33.21/33.46  (step t23.t22 (cl (= true false)) :rule trans :premises (t23.t6 t23.t16 t23.t21))
% 33.21/33.46  (step t23.t23 (cl false) :rule resolution :premises (t23.t1 t23.t2 t23.t22))
% 33.21/33.46  (step t23 (cl (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false) :rule subproof :discharge (t23.a0 t23.a1 t23.a2 t23.a3))
% 33.21/33.46  (step t24 (cl (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule and_pos)
% 33.21/33.46  (step t25 (cl (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule and_pos)
% 33.21/33.46  (step t26 (cl (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.46  (step t27 (cl (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.46  (step t28 (cl false (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t23 t24 t25 t26 t27))
% 33.21/33.46  (step t29 (cl (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) false) :rule reordering :premises (t28))
% 33.21/33.46  (step t30 (cl (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) false) :rule contraction :premises (t29))
% 33.21/33.46  (step t31 (cl (=> (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false) false) :rule resolution :premises (t22 t30))
% 33.21/33.46  (step t32 (cl (=> (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false) (not false)) :rule implies_neg2)
% 33.21/33.46  (step t33 (cl (=> (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false) (=> (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false)) :rule resolution :premises (t31 t32))
% 33.21/33.46  (step t34 (cl (=> (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false)) :rule contraction :premises (t33))
% 33.21/33.46  (step t35 (cl (= (=> (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false) (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))))) :rule implies_simplify)
% 33.21/33.46  (step t36 (cl (not (=> (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false)) (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))))) :rule equiv1 :premises (t35))
% 33.21/33.46  (step t37 (cl (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t34 t36))
% 33.21/33.46  (step t38 (cl (= (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) false)) :rule resolution :premises (t21 t37))
% 33.21/33.46  (step t39 (cl (= (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) false))) :rule cong :premises (t17 t38))
% 33.21/33.46  (step t40 (cl (= (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) false) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))))) :rule all_simplify)
% 33.21/33.46  (step t41 (cl (= (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))))) :rule trans :premises (t39 t40))
% 33.21/33.46  (step t42 (cl (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule implies_neg1)
% 33.21/33.46  (anchor :step t43)
% 33.21/33.46  (assume t43.a0 (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (assume t43.a1 (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))
% 33.21/33.46  (assume t43.a2 (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))
% 33.21/33.46  (assume t43.a3 (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))
% 33.21/33.46  (step t43.t1 (cl (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule and_neg)
% 33.21/33.46  (step t43.t2 (cl (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t43.t1 t43.a3 t43.a0 t43.a1 t43.a2))
% 33.21/33.46  (step t43 (cl (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule subproof :discharge (t43.a0 t43.a1 t43.a2 t43.a3))
% 33.21/33.46  (step t44 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule and_pos)
% 33.21/33.46  (step t45 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.46  (step t46 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.46  (step t47 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule and_pos)
% 33.21/33.46  (step t48 (cl (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule resolution :premises (t43 t44 t45 t46 t47))
% 33.21/33.46  (step t49 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule reordering :premises (t48))
% 33.21/33.46  (step t50 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule contraction :premises (t49))
% 33.21/33.46  (step t51 (cl (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t42 t50))
% 33.21/33.46  (step t52 (cl (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (not (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))))) :rule implies_neg2)
% 33.21/33.46  (step t53 (cl (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)))) (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t51 t52))
% 33.21/33.46  (step t54 (cl (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) (and (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))))) :rule contraction :premises (t53))
% 33.21/33.46  (step t55 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule resolution :premises (t16 t41 t54))
% 33.21/33.46  (step t56 (cl (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule not_and :premises (t55))
% 33.21/33.46  (step t57 (cl (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))))) :rule or_neg)
% 33.21/33.46  (step t58 (cl (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule or_neg)
% 33.21/33.46  (step t59 (cl (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))))) :rule or_neg)
% 33.21/33.46  (step t60 (cl (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule or_neg)
% 33.21/33.46  (step t61 (cl (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule resolution :premises (t56 t57 t58 t59 t60))
% 33.21/33.46  (step t62 (cl (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (not (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule contraction :premises (t61))
% 33.21/33.46  (step t63 (cl (or (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t1 t15 t62))
% 33.21/33.46  (step t64 (cl (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) :rule or :premises (t63))
% 33.21/33.46  (step t65 (cl (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule or_pos)
% 33.21/33.46  (step t66 (cl (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule reordering :premises (t65))
% 33.21/33.46  (step t67 (cl (not (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) :rule or_pos)
% 33.21/33.46  (step t68 (cl (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule reordering :premises (t67))
% 33.21/33.46  (step t69 (cl (=> (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule implies_neg1)
% 33.21/33.46  (anchor :step t70)
% 33.21/33.46  (assume t70.a0 (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))))
% 33.21/33.46  (step t70.t1 (cl (or (not (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule forall_inst :args ((:= V_c (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K)) (:= V_evs tptp.v_evsf) (:= V_A tptp.c_Message_Oagent_OSpy) (:= V_B tptp.v_Ba) (:= V_X tptp.v_Xa)))
% 33.21/33.46  (step t70.t2 (cl (not (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) :rule or :premises (t70.t1))
% 33.21/33.46  (step t70.t3 (cl (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t70.t2 t70.a0))
% 33.21/33.46  (step t70 (cl (not (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) :rule subproof :discharge (t70.a0))
% 33.21/33.46  (step t71 (cl (=> (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t69 t70))
% 33.21/33.46  (step t72 (cl (=> (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (not (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule implies_neg2)
% 33.21/33.46  (step t73 (cl (=> (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (=> (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t71 t72))
% 33.21/33.46  (step t74 (cl (=> (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule contraction :premises (t73))
% 33.21/33.46  (step t75 (cl (not (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) :rule implies :premises (t74))
% 33.21/33.46  (step t76 (cl (or (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t75 a515))
% 33.21/33.46  (step t77 (cl (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t68 a528 t76))
% 33.21/33.46  (step t78 (cl (not (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule or_pos)
% 33.21/33.46  (step t79 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule reordering :premises (t78))
% 33.21/33.46  (step t80 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule or :premises (a532))
% 33.21/33.46  (step t81 (cl (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule or_pos)
% 33.21/33.46  (step t82 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))))) :rule reordering :premises (t81))
% 33.21/33.46  (step t83 (cl (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (not (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule and_neg)
% 33.21/33.46  (step t84 (cl (=> (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule implies_neg1)
% 33.21/33.46  (anchor :step t85)
% 33.21/33.46  (assume t85.a0 (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))
% 33.21/33.46  (assume t85.a1 (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))
% 33.21/33.46  (step t85.t1 (cl (=> (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule implies_neg1)
% 33.21/33.46  (anchor :step t85.t2)
% 33.21/33.46  (assume t85.t2.a0 (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))
% 33.21/33.46  (assume t85.t2.a1 (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))
% 33.21/33.46  (step t85.t2.t1 (cl (= (= (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) true) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule equiv_simplify)
% 33.21/33.46  (step t85.t2.t2 (cl (not (= (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) true)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule equiv1 :premises (t85.t2.t1))
% 33.21/33.46  (step t85.t2.t3 (cl (= (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent))) :rule refl)
% 33.21/33.46  (step t85.t2.t4 (cl (= (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule symm :premises (t85.t2.a1))
% 33.21/33.46  (step t85.t2.t5 (cl (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule symm :premises (t85.t2.t4))
% 33.21/33.46  (step t85.t2.t6 (cl (= (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule refl)
% 33.21/33.46  (step t85.t2.t7 (cl (= (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule cong :premises (t85.t2.t3 t85.t2.t5 t85.t2.t6))
% 33.21/33.46  (step t85.t2.t8 (cl (= (= (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) true) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule equiv_simplify)
% 33.21/33.46  (step t85.t2.t9 (cl (= (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) true) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule equiv2 :premises (t85.t2.t8))
% 33.21/33.46  (step t85.t2.t10 (cl (= (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) true)) :rule resolution :premises (t85.t2.t9 t85.t2.a0))
% 33.21/33.46  (step t85.t2.t11 (cl (= (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) true)) :rule trans :premises (t85.t2.t7 t85.t2.t10))
% 33.21/33.46  (step t85.t2.t12 (cl (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule resolution :premises (t85.t2.t2 t85.t2.t11))
% 33.21/33.46  (step t85.t2 (cl (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (not (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule subproof :discharge (t85.t2.a0 t85.t2.a1))
% 33.21/33.46  (step t85.t3 (cl (not (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule and_pos)
% 33.21/33.46  (step t85.t4 (cl (not (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule and_pos)
% 33.21/33.46  (step t85.t5 (cl (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (not (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (not (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule resolution :premises (t85.t2 t85.t3 t85.t4))
% 33.21/33.46  (step t85.t6 (cl (not (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (not (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule reordering :premises (t85.t5))
% 33.21/33.46  (step t85.t7 (cl (not (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule contraction :premises (t85.t6))
% 33.21/33.46  (step t85.t8 (cl (=> (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule resolution :premises (t85.t1 t85.t7))
% 33.21/33.46  (step t85.t9 (cl (=> (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule implies_neg2)
% 33.21/33.46  (step t85.t10 (cl (=> (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (=> (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule resolution :premises (t85.t8 t85.t9))
% 33.21/33.46  (step t85.t11 (cl (=> (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule contraction :premises (t85.t10))
% 33.21/33.46  (step t85.t12 (cl (not (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule implies :premises (t85.t11))
% 33.21/33.46  (step t85.t13 (cl (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (not (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule and_neg)
% 33.21/33.46  (step t85.t14 (cl (and (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t85.t13 t85.a1 t85.a0))
% 33.21/33.46  (step t85.t15 (cl (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule resolution :premises (t85.t12 t85.t14))
% 33.21/33.46  (step t85 (cl (not (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule subproof :discharge (t85.a0 t85.a1))
% 33.21/33.46  (step t86 (cl (not (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule and_pos)
% 33.21/33.46  (step t87 (cl (not (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule and_pos)
% 33.21/33.46  (step t88 (cl (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (not (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) (not (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) :rule resolution :premises (t85 t86 t87))
% 33.21/33.46  (step t89 (cl (not (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) (not (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule reordering :premises (t88))
% 33.21/33.46  (step t90 (cl (not (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule contraction :premises (t89))
% 33.21/33.46  (step t91 (cl (=> (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule resolution :premises (t84 t90))
% 33.21/33.46  (step t92 (cl (=> (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule implies_neg2)
% 33.21/33.46  (step t93 (cl (=> (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (=> (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule resolution :premises (t91 t92))
% 33.21/33.46  (step t94 (cl (=> (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule contraction :premises (t93))
% 33.21/33.46  (step t95 (cl (not (and (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule implies :premises (t94))
% 33.21/33.46  (step t96 (cl (not (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule resolution :premises (t83 t95))
% 33.21/33.46  (step t97 (cl (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)) (not (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule reordering :premises (t96))
% 33.21/33.46  (step t98 (cl (=> (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a)))) :rule implies_neg1)
% 33.21/33.46  (anchor :step t99)
% 33.21/33.46  (assume t99.a0 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a))))
% 33.21/33.46  (step t99.t1 (cl (or (not (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a)))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule forall_inst :args ((:= V_x (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (:= V_xs tptp.v_evsf) (:= T_a tptp.tc_Event_Oevent)))
% 33.21/33.46  (step t99.t2 (cl (not (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a)))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule or :premises (t99.t1))
% 33.21/33.46  (step t99.t3 (cl (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t99.t2 t99.a0))
% 33.21/33.46  (step t99 (cl (not (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a)))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule subproof :discharge (t99.a0))
% 33.21/33.46  (step t100 (cl (=> (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t98 t99))
% 33.21/33.47  (step t101 (cl (=> (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule implies_neg2)
% 33.21/33.47  (step t102 (cl (=> (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (=> (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t100 t101))
% 33.21/33.47  (step t103 (cl (=> (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule contraction :premises (t102))
% 33.21/33.47  (step t104 (cl (not (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a)))) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule implies :premises (t103))
% 33.21/33.47  (step t105 (cl (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t104 a191))
% 33.21/33.47  (step t106 (cl (=> (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t107)
% 33.21/33.47  (assume t107.a0 (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 33.21/33.47  (step t107.t1 (cl (or (not (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule forall_inst :args ((:= V_B (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent)) (:= V_a (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (:= T_a tptp.tc_Event_Oevent)))
% 33.21/33.47  (step t107.t2 (cl (not (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule or :premises (t107.t1))
% 33.21/33.47  (step t107.t3 (cl (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule resolution :premises (t107.t2 t107.a0))
% 33.21/33.47  (step t107 (cl (not (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule subproof :discharge (t107.a0))
% 33.21/33.47  (step t108 (cl (=> (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule resolution :premises (t106 t107))
% 33.21/33.47  (step t109 (cl (=> (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule implies_neg2)
% 33.21/33.47  (step t110 (cl (=> (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) (=> (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule resolution :premises (t108 t109))
% 33.21/33.47  (step t111 (cl (=> (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))) :rule contraction :premises (t110))
% 33.21/33.47  (step t112 (cl (not (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule implies :premises (t111))
% 33.21/33.47  (step t113 (cl (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_Set_Oinsert (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule resolution :premises (t112 a44))
% 33.21/33.47  (step t114 (cl (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))) :rule resolution :premises (t97 t105 t113))
% 33.21/33.47  (step t115 (cl (=> (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t116)
% 33.21/33.47  (assume t116.a0 (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.47  (step t116.t1 (cl (or (not (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))))) :rule forall_inst :args ((:= V_t (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (:= V_B (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (:= T_a tptp.tc_Event_Oevent) (:= V_A (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent))))
% 33.21/33.47  (step t116.t2 (cl (not (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) :rule or :premises (t116.t1))
% 33.21/33.47  (step t116.t3 (cl (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) :rule resolution :premises (t116.t2 t116.a0))
% 33.21/33.47  (step t116 (cl (not (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) :rule subproof :discharge (t116.a0))
% 33.21/33.47  (step t117 (cl (=> (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) :rule resolution :premises (t115 t116))
% 33.21/33.47  (step t118 (cl (=> (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))))) :rule implies_neg2)
% 33.21/33.47  (step t119 (cl (=> (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) (=> (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))))) :rule resolution :premises (t117 t118))
% 33.21/33.47  (step t120 (cl (=> (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool)))))) :rule contraction :premises (t119))
% 33.21/33.47  (step t121 (cl (not (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) :rule implies :premises (t120))
% 33.21/33.47  (step t122 (cl (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_lessequals (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.tc_fun tptp.tc_Event_Oevent tptp.tc_bool))))) :rule resolution :premises (t121 a245))
% 33.21/33.47  (step t123 (cl (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t82 a531 t114 t122))
% 33.21/33.47  (step t124 (cl (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule or_pos)
% 33.21/33.47  (step t125 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))) :rule reordering :premises (t124))
% 33.21/33.47  (step t126 (cl (not (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer)) :rule or_pos)
% 33.21/33.47  (step t127 (cl (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer) (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (not (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer)))) :rule reordering :premises (t126))
% 33.21/33.47  (step t128 (cl (=> (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H))) (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H)))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t129)
% 33.21/33.47  (assume t129.a0 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H))))
% 33.21/33.47  (step t129.t1 (cl (or (not (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H)))) (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer)))) :rule forall_inst :args ((:= V_agent1 tptp.c_Message_Oagent_OSpy) (:= V_agent2 tptp.v_Ba) (:= V_msg tptp.v_Xa) (:= V_agent1_H tptp.c_Message_Oagent_OServer) (:= V_agent2_H tptp.v_A) (:= V_msg_H (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))))
% 33.21/33.47  (step t129.t2 (cl (not (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H)))) (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) :rule or :premises (t129.t1))
% 33.21/33.47  (step t129.t3 (cl (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) :rule resolution :premises (t129.t2 t129.a0))
% 33.21/33.47  (step t129 (cl (not (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H)))) (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) :rule subproof :discharge (t129.a0))
% 33.21/33.47  (step t130 (cl (=> (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H))) (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) :rule resolution :premises (t128 t129))
% 33.21/33.47  (step t131 (cl (=> (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H))) (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) (not (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer)))) :rule implies_neg2)
% 33.21/33.47  (step t132 (cl (=> (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H))) (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) (=> (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H))) (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer)))) :rule resolution :premises (t130 t131))
% 33.21/33.47  (step t133 (cl (=> (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H))) (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer)))) :rule contraction :premises (t132))
% 33.21/33.47  (step t134 (cl (not (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H)))) (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) :rule implies :premises (t133))
% 33.21/33.47  (step t135 (cl (or (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))))) (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer))) :rule resolution :premises (t134 a446))
% 33.21/33.47  (step t136 (cl (not (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))))) :rule resolution :premises (t127 a500 t135))
% 33.21/33.47  (step t137 (cl (not (= (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))) (not (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))) (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))) :rule equiv_pos2)
% 33.21/33.47  (step t138 (cl (= (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))))) :rule refl)
% 33.21/33.47  (step t139 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule refl)
% 33.21/33.47  (step t140 (cl (= (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))))) :rule all_simplify)
% 33.21/33.47  (step t141 (cl (= (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule refl)
% 33.21/33.47  (step t142 (cl (= (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))) :rule cong :premises (t139 t140 t141))
% 33.21/33.47  (step t143 (cl (= (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))) :rule cong :premises (t138 t142))
% 33.21/33.47  (step t144 (cl (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a)))))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t145)
% 33.21/33.47  (assume t145.a0 (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))))
% 33.21/33.47  (step t145.t1 (cl (or (not (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))) :rule forall_inst :args ((:= V_y (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (:= V_xs tptp.v_evsf) (:= T_a tptp.tc_Event_Oevent) (:= V_x (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa))))
% 33.21/33.47  (step t145.t2 (cl (not (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule or :premises (t145.t1))
% 33.21/33.47  (step t145.t3 (cl (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule resolution :premises (t145.t2 t145.a0))
% 33.21/33.47  (step t145 (cl (not (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule subproof :discharge (t145.a0))
% 33.21/33.47  (step t146 (cl (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule resolution :premises (t144 t145))
% 33.21/33.47  (step t147 (cl (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))) :rule implies_neg2)
% 33.21/33.47  (step t148 (cl (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))) :rule resolution :premises (t146 t147))
% 33.21/33.47  (step t149 (cl (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))) :rule contraction :premises (t148))
% 33.21/33.47  (step t150 (cl (=> (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))) :rule resolution :premises (t137 t143 t149))
% 33.21/33.47  (step t151 (cl (not (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a)) (= V_y V_x) (not (tptp.hBOOL (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule implies :premises (t150))
% 33.21/33.47  (step t152 (cl (or (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X)))))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule resolution :premises (t151 a494))
% 33.21/33.47  (step t153 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t125 a529 t136 t152))
% 33.21/33.47  (step t154 (cl (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t80 t123 t153 t77))
% 33.21/33.47  (step t155 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t156)
% 33.21/33.47  (assume t156.a0 (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))))
% 33.21/33.47  (step t156.t1 (cl (or (not (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule forall_inst :args ((:= V_c (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))))
% 33.21/33.47  (step t156.t2 (cl (not (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule or :premises (t156.t1))
% 33.21/33.47  (step t156.t3 (cl (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t156.t2 t156.a0))
% 33.21/33.47  (step t156 (cl (not (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule subproof :discharge (t156.a0))
% 33.21/33.47  (step t157 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t155 t156))
% 33.21/33.47  (step t158 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (not (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule implies_neg2)
% 33.21/33.47  (step t159 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t157 t158))
% 33.21/33.47  (step t160 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule contraction :premises (t159))
% 33.21/33.47  (step t161 (cl (not (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule implies :premises (t160))
% 33.21/33.47  (step t162 (cl (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t161 a523))
% 33.21/33.47  (step t163 (cl (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t79 t154 t162))
% 33.21/33.47  (step t164 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t165)
% 33.21/33.47  (assume t165.a0 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))))
% 33.21/33.47  (step t165.t1 (cl (or (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule forall_inst :args ((:= V_K tptp.v_K) (:= V_X (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (:= V_H (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)))))
% 33.21/33.47  (step t165.t2 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule or :premises (t165.t1))
% 33.21/33.47  (step t165.t3 (cl (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t165.t2 t165.a0))
% 33.21/33.47  (step t165 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule subproof :discharge (t165.a0))
% 33.21/33.47  (step t166 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t164 t165))
% 33.21/33.47  (step t167 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule implies_neg2)
% 33.21/33.47  (step t168 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t166 t167))
% 33.21/33.47  (step t169 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule contraction :premises (t168))
% 33.21/33.47  (step t170 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule implies :premises (t169))
% 33.21/33.47  (step t171 (cl (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t170 a507))
% 33.21/33.47  (step t172 (cl (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t66 t77 t163 t171))
% 33.21/33.47  (step t173 (cl (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule or_pos)
% 33.21/33.47  (step t174 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))))) :rule reordering :premises (t173))
% 33.21/33.47  (step t175 (cl (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule and_neg)
% 33.21/33.47  (step t176 (cl (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t177)
% 33.21/33.47  (assume t177.a0 (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))
% 33.21/33.47  (assume t177.a1 (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))))
% 33.21/33.47  (assume t177.a2 (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))
% 33.21/33.47  (assume t177.a3 (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))
% 33.21/33.47  (step t177.t1 (cl (=> (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t177.t2)
% 33.21/33.47  (assume t177.t2.a0 (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))
% 33.21/33.47  (assume t177.t2.a1 (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))
% 33.21/33.47  (assume t177.t2.a2 (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))))
% 33.21/33.47  (assume t177.t2.a3 (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))
% 33.21/33.47  (step t177.t2.t1 (cl (= (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) true) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 33.21/33.47  (step t177.t2.t2 (cl (not (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) true)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule equiv1 :premises (t177.t2.t1))
% 33.21/33.47  (step t177.t2.t3 (cl (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) :rule refl)
% 33.21/33.47  (step t177.t2.t4 (cl (= (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) :rule symm :premises (t177.t2.a3))
% 33.21/33.47  (step t177.t2.t5 (cl (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule symm :premises (t177.t2.t4))
% 33.21/33.47  (step t177.t2.t6 (cl (= (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule cong :premises (t177.t2.t5))
% 33.21/33.47  (step t177.t2.t7 (cl (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule cong :premises (t177.t2.t6))
% 33.21/33.47  (step t177.t2.t8 (cl (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))))) :rule symm :premises (t177.t2.a2))
% 33.21/33.47  (step t177.t2.t9 (cl (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))))) :rule trans :premises (t177.t2.t7 t177.t2.t8))
% 33.21/33.47  (step t177.t2.t10 (cl (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) :rule trans :premises (t177.t2.t9 t177.t2.a1))
% 33.21/33.47  (step t177.t2.t11 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)))) :rule refl)
% 33.21/33.47  (step t177.t2.t12 (cl (= (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule refl)
% 33.21/33.47  (step t177.t2.t13 (cl (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule cong :premises (t177.t2.t10 t177.t2.t11 t177.t2.t12))
% 33.21/33.47  (step t177.t2.t14 (cl (= (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))))) :rule symm :premises (t177.t2.a1))
% 33.21/33.47  (step t177.t2.t15 (cl (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule cong :premises (t177.t2.t14 t177.t2.t11 t177.t2.t12))
% 33.21/33.47  (step t177.t2.t16 (cl (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule trans :premises (t177.t2.t13 t177.t2.t15))
% 33.21/33.47  (step t177.t2.t17 (cl (= tptp.tc_Message_Omsg tptp.tc_Message_Omsg)) :rule refl)
% 33.21/33.47  (step t177.t2.t18 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule cong :premises (t177.t2.t3 t177.t2.t16 t177.t2.t17))
% 33.21/33.47  (step t177.t2.t19 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule cong :premises (t177.t2.t18))
% 33.21/33.47  (step t177.t2.t20 (cl (= (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) true) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 33.21/33.47  (step t177.t2.t21 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) true) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule equiv2 :premises (t177.t2.t20))
% 33.21/33.47  (step t177.t2.t22 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) true)) :rule resolution :premises (t177.t2.t21 t177.t2.a0))
% 33.21/33.47  (step t177.t2.t23 (cl (= (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) true)) :rule trans :premises (t177.t2.t19 t177.t2.t22))
% 33.21/33.47  (step t177.t2.t24 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule resolution :premises (t177.t2.t2 t177.t2.t23))
% 33.21/33.47  (step t177.t2 (cl (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t177.t2.a0 t177.t2.a1 t177.t2.a2 t177.t2.a3))
% 33.21/33.47  (step t177.t3 (cl (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.47  (step t177.t4 (cl (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.47  (step t177.t5 (cl (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule and_pos)
% 33.21/33.47  (step t177.t6 (cl (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.47  (step t177.t7 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule resolution :premises (t177.t2 t177.t3 t177.t4 t177.t5 t177.t6))
% 33.21/33.47  (step t177.t8 (cl (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule reordering :premises (t177.t7))
% 33.21/33.47  (step t177.t9 (cl (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule contraction :premises (t177.t8))
% 33.21/33.47  (step t177.t10 (cl (=> (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule resolution :premises (t177.t1 t177.t9))
% 33.21/33.47  (step t177.t11 (cl (=> (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 33.21/33.47  (step t177.t12 (cl (=> (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (=> (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t177.t10 t177.t11))
% 33.21/33.47  (step t177.t13 (cl (=> (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t177.t12))
% 33.21/33.47  (step t177.t14 (cl (not (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule implies :premises (t177.t13))
% 33.21/33.47  (step t177.t15 (cl (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule and_neg)
% 33.21/33.47  (step t177.t16 (cl (and (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule resolution :premises (t177.t15 t177.a3 t177.a0 t177.a1 t177.a2))
% 33.21/33.47  (step t177.t17 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule resolution :premises (t177.t14 t177.t16))
% 33.21/33.47  (step t177 (cl (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t177.a0 t177.a1 t177.a2 t177.a3))
% 33.21/33.47  (step t178 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.47  (step t179 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule and_pos)
% 33.21/33.47  (step t180 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.47  (step t181 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.47  (step t182 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t177 t178 t179 t180 t181))
% 33.21/33.47  (step t183 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule reordering :premises (t182))
% 33.21/33.47  (step t184 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule contraction :premises (t183))
% 33.21/33.47  (step t185 (cl (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule resolution :premises (t176 t184))
% 33.21/33.47  (step t186 (cl (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 33.21/33.47  (step t187 (cl (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t185 t186))
% 33.21/33.47  (step t188 (cl (=> (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t187))
% 33.21/33.47  (step t189 (cl (not (and (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule implies :premises (t188))
% 33.21/33.47  (step t190 (cl (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule resolution :premises (t175 t189))
% 33.21/33.47  (step t191 (cl (not (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule or_pos)
% 33.21/33.47  (step t192 (cl (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule reordering :premises (t191))
% 33.21/33.47  (step t193 (cl (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t194)
% 33.21/33.47  (assume t194.a0 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 33.21/33.47  (step t194.t1 (cl (or (not (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule forall_inst :args ((:= V_a tptp.v_Xa) (:= V_A (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)))) (:= T_a tptp.tc_Message_Omsg)))
% 33.21/33.47  (step t194.t2 (cl (not (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule or :premises (t194.t1))
% 33.21/33.47  (step t194.t3 (cl (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t194.t2 t194.a0))
% 33.21/33.47  (step t194 (cl (not (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule subproof :discharge (t194.a0))
% 33.21/33.47  (step t195 (cl (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t193 t194))
% 33.21/33.47  (step t196 (cl (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule implies_neg2)
% 33.21/33.47  (step t197 (cl (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule resolution :premises (t195 t196))
% 33.21/33.47  (step t198 (cl (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule contraction :premises (t197))
% 33.21/33.47  (step t199 (cl (not (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule implies :premises (t198))
% 33.21/33.47  (step t200 (cl (not (= (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))) (not (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) :rule equiv_pos2)
% 33.21/33.47  (anchor :step t201 :args ((V_a $$unsorted) (:= V_a V_a) (V_A $$unsorted) (:= V_A V_A) (T_a $$unsorted) (:= T_a T_a)))
% 33.21/33.47  (step t201.t1 (cl (= V_a V_a)) :rule refl)
% 33.21/33.47  (step t201.t2 (cl (= V_A V_A)) :rule refl)
% 33.21/33.47  (step t201.t3 (cl (= T_a T_a)) :rule refl)
% 33.21/33.47  (step t201.t4 (cl (= (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)))) :rule all_simplify)
% 33.21/33.47  (step t201.t5 (cl (= (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) :rule refl)
% 33.21/33.47  (step t201.t6 (cl (= (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) :rule cong :premises (t201.t4 t201.t5))
% 33.21/33.47  (step t201 (cl (= (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))) :rule bind)
% 33.21/33.47  (step t202 (cl (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) :rule resolution :premises (t200 t201 a258))
% 33.21/33.47  (step t203 (cl (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t199 t202))
% 33.21/33.47  (step t204 (cl (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) :rule resolution :premises (t192 a527 t203))
% 33.21/33.47  (step t205 (cl (not (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule or_pos)
% 33.21/33.47  (step t206 (cl (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule reordering :premises (t205))
% 33.21/33.47  (step t207 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t208)
% 33.21/33.47  (assume t208.a0 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.47  (step t208.t1 (cl (or (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule forall_inst :args ((:= V_X tptp.v_Xa) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))))
% 33.21/33.47  (step t208.t2 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule or :premises (t208.t1))
% 33.21/33.47  (step t208.t3 (cl (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t208.t2 t208.a0))
% 33.21/33.47  (step t208 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule subproof :discharge (t208.a0))
% 33.21/33.47  (step t209 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t207 t208))
% 33.21/33.47  (step t210 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule implies_neg2)
% 33.21/33.47  (step t211 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule resolution :premises (t209 t210))
% 33.21/33.47  (step t212 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule contraction :premises (t211))
% 33.21/33.47  (step t213 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule implies :premises (t212))
% 33.21/33.47  (step t214 (cl (not (= (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))) (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) :rule equiv_pos2)
% 33.21/33.47  (anchor :step t215 :args ((V_X $$unsorted) (:= V_X V_X) (V_H $$unsorted) (:= V_H V_H)))
% 33.21/33.47  (step t215.t1 (cl (= V_X V_X)) :rule refl)
% 33.21/33.47  (step t215.t2 (cl (= V_H V_H)) :rule refl)
% 33.21/33.47  (step t215.t3 (cl (= (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H))) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))))) :rule all_simplify)
% 33.21/33.47  (step t215.t4 (cl (= (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) :rule refl)
% 33.21/33.47  (step t215.t5 (cl (= (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) :rule cong :premises (t215.t3 t215.t4))
% 33.21/33.47  (step t215 (cl (= (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))) :rule bind)
% 33.21/33.47  (step t216 (cl (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) :rule resolution :premises (t214 t215 a357))
% 33.21/33.47  (step t217 (cl (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t213 t216))
% 33.21/33.47  (step t218 (cl (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule resolution :premises (t206 a527 t217))
% 33.21/33.47  (step t219 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t220)
% 33.21/33.47  (assume t220.a0 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))))
% 33.21/33.47  (step t220.t1 (cl (or (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_A tptp.c_Message_Oagent_OSpy) (:= V_B tptp.v_Ba) (:= V_X tptp.v_Xa) (:= V_evs tptp.v_evsf)))
% 33.21/33.47  (step t220.t2 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule or :premises (t220.t1))
% 33.21/33.47  (step t220.t3 (cl (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule resolution :premises (t220.t2 t220.a0))
% 33.21/33.47  (step t220 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule subproof :discharge (t220.a0))
% 33.21/33.47  (step t221 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule resolution :premises (t219 t220))
% 33.21/33.47  (step t222 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 33.21/33.47  (step t223 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule resolution :premises (t221 t222))
% 33.21/33.47  (step t224 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule contraction :premises (t223))
% 33.21/33.47  (step t225 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule implies :premises (t224))
% 33.21/33.47  (step t226 (cl (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule resolution :premises (t225 a370))
% 33.21/33.47  (step t227 (cl (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule or_pos)
% 33.21/33.47  (step t228 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))) :rule reordering :premises (t227))
% 33.21/33.47  (step t229 (cl (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (not (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule and_neg)
% 33.21/33.47  (step t230 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t231)
% 33.21/33.47  (assume t231.a0 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))
% 33.21/33.47  (assume t231.a1 (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))
% 33.21/33.47  (assume t231.a2 (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))
% 33.21/33.47  (step t231.t1 (cl (=> (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t231.t2)
% 33.21/33.47  (assume t231.t2.a0 (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))
% 33.21/33.47  (assume t231.t2.a1 (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))
% 33.21/33.47  (assume t231.t2.a2 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))
% 33.21/33.47  (step t231.t2.t1 (cl (= (= (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) true) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule equiv_simplify)
% 33.21/33.47  (step t231.t2.t2 (cl (not (= (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) true)) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule equiv1 :premises (t231.t2.t1))
% 33.21/33.47  (step t231.t2.t3 (cl (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))))) :rule symm :premises (t231.t2.a2))
% 33.21/33.47  (step t231.t2.t4 (cl (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule refl)
% 33.21/33.47  (step t231.t2.t5 (cl (= (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule refl)
% 33.21/33.47  (step t231.t2.t6 (cl (= (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule cong :premises (t231.t2.t3 t231.t2.t4 t231.t2.t5))
% 33.21/33.47  (step t231.t2.t7 (cl (= (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) :rule symm :premises (t231.t2.a1))
% 33.21/33.47  (step t231.t2.t8 (cl (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule symm :premises (t231.t2.t7))
% 33.21/33.47  (step t231.t2.t9 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule cong :premises (t231.t2.t8))
% 33.21/33.47  (step t231.t2.t10 (cl (= (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule cong :premises (t231.t2.t9 t231.t2.t4 t231.t2.t5))
% 33.21/33.47  (step t231.t2.t11 (cl (= (= (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) true) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule equiv_simplify)
% 33.21/33.47  (step t231.t2.t12 (cl (= (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) true) (not (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule equiv2 :premises (t231.t2.t11))
% 33.21/33.47  (step t231.t2.t13 (cl (= (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) true)) :rule resolution :premises (t231.t2.t12 t231.t2.a0))
% 33.21/33.47  (step t231.t2.t14 (cl (= (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) true)) :rule trans :premises (t231.t2.t6 t231.t2.t10 t231.t2.t13))
% 33.21/33.47  (step t231.t2.t15 (cl (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule resolution :premises (t231.t2.t2 t231.t2.t14))
% 33.21/33.47  (step t231.t2 (cl (not (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule subproof :discharge (t231.t2.a0 t231.t2.a1 t231.t2.a2))
% 33.21/33.47  (step t231.t3 (cl (not (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule and_pos)
% 33.21/33.47  (step t231.t4 (cl (not (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.47  (step t231.t5 (cl (not (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.47  (step t231.t6 (cl (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (not (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (not (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t231.t2 t231.t3 t231.t4 t231.t5))
% 33.21/33.47  (step t231.t7 (cl (not (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (not (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (not (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule reordering :premises (t231.t6))
% 33.21/33.47  (step t231.t8 (cl (not (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule contraction :premises (t231.t7))
% 33.21/33.47  (step t231.t9 (cl (=> (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule resolution :premises (t231.t1 t231.t8))
% 33.21/33.47  (step t231.t10 (cl (=> (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule implies_neg2)
% 33.21/33.47  (step t231.t11 (cl (=> (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (=> (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule resolution :premises (t231.t9 t231.t10))
% 33.21/33.47  (step t231.t12 (cl (=> (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule contraction :premises (t231.t11))
% 33.21/33.47  (step t231.t13 (cl (not (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule implies :premises (t231.t12))
% 33.21/33.47  (step t231.t14 (cl (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (not (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) :rule and_neg)
% 33.21/33.47  (step t231.t15 (cl (and (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t231.t14 t231.a1 t231.a2 t231.a0))
% 33.21/33.47  (step t231.t16 (cl (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule resolution :premises (t231.t13 t231.t15))
% 33.21/33.47  (step t231 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (not (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule subproof :discharge (t231.a0 t231.a1 t231.a2))
% 33.21/33.47  (step t232 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.47  (step t233 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule and_pos)
% 33.21/33.47  (step t234 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule and_pos)
% 33.21/33.47  (step t235 (cl (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule resolution :premises (t231 t232 t233 t234))
% 33.21/33.47  (step t236 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule reordering :premises (t235))
% 33.21/33.47  (step t237 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule contraction :premises (t236))
% 33.21/33.47  (step t238 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule resolution :premises (t230 t237))
% 33.21/33.47  (step t239 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule implies_neg2)
% 33.21/33.47  (step t240 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule resolution :premises (t238 t239))
% 33.21/33.47  (step t241 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) :rule contraction :premises (t240))
% 33.21/33.47  (step t242 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule implies :premises (t241))
% 33.21/33.47  (step t243 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (not (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule resolution :premises (t229 t242))
% 33.21/33.47  (step t244 (cl (not (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))) :rule or_pos)
% 33.21/33.47  (step t245 (cl (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))))) :rule reordering :premises (t244))
% 33.21/33.47  (step t246 (cl (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t247)
% 33.21/33.47  (assume t247.a0 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 33.21/33.47  (step t247.t1 (cl (or (not (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))))) :rule forall_inst :args ((:= V_a (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (:= V_A (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (:= T_a tptp.tc_Message_Omsg)))
% 33.21/33.47  (step t247.t2 (cl (not (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule or :premises (t247.t1))
% 33.21/33.47  (step t247.t3 (cl (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t247.t2 t247.a0))
% 33.21/33.47  (step t247 (cl (not (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule subproof :discharge (t247.a0))
% 33.21/33.47  (step t248 (cl (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t246 t247))
% 33.21/33.47  (step t249 (cl (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) (not (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))))) :rule implies_neg2)
% 33.21/33.47  (step t250 (cl (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))))) :rule resolution :premises (t248 t249))
% 33.21/33.47  (step t251 (cl (=> (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))) (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)))))) :rule contraction :premises (t250))
% 33.21/33.47  (step t252 (cl (not (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_a V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))) (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule implies :premises (t251))
% 33.21/33.47  (step t253 (cl (or (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t252 t202))
% 33.21/33.47  (step t254 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))) :rule resolution :premises (t245 a530 t253))
% 33.21/33.47  (step t255 (cl (not (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))) :rule or_pos)
% 33.21/33.47  (step t256 (cl (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule reordering :premises (t255))
% 33.21/33.47  (step t257 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t258)
% 33.21/33.47  (assume t258.a0 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))))
% 33.21/33.47  (step t258.t1 (cl (or (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule forall_inst :args ((:= V_X tptp.v_Xa) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))))
% 33.21/33.47  (step t258.t2 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule or :premises (t258.t1))
% 33.21/33.47  (step t258.t3 (cl (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t258.t2 t258.a0))
% 33.21/33.47  (step t258 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule subproof :discharge (t258.a0))
% 33.21/33.47  (step t259 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t257 t258))
% 33.21/33.47  (step t260 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (not (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule implies_neg2)
% 33.21/33.47  (step t261 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule resolution :premises (t259 t260))
% 33.21/33.47  (step t262 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)))))) :rule contraction :premises (t261))
% 33.21/33.47  (step t263 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule implies :premises (t262))
% 33.21/33.47  (step t264 (cl (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.hBOOL (tptp.c_in tptp.v_Xa (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))))) :rule resolution :premises (t263 a325))
% 33.21/33.47  (step t265 (cl (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert tptp.v_Xa (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule resolution :premises (t256 a527 t264))
% 33.21/33.47  (step t266 (cl (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) :rule resolution :premises (t243 t254 t265 t226))
% 33.21/33.47  (step t267 (cl (=> (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))) (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)))))) :rule implies_neg1)
% 33.21/33.47  (anchor :step t268)
% 33.21/33.47  (assume t268.a0 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 33.21/33.47  (step t268.t1 (cl (or (not (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))) :rule forall_inst :args ((:= V_x (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (:= V_B (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (:= T_a tptp.tc_Message_Omsg) (:= V_A (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))))))
% 33.21/33.47  (step t268.t2 (cl (not (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))) :rule or :premises (t268.t1))
% 33.21/33.47  (step t268.t3 (cl (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))) :rule resolution :premises (t268.t2 t268.a0))
% 33.21/33.47  (step t268 (cl (not (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))) :rule subproof :discharge (t268.a0))
% 33.21/33.47  (step t269 (cl (=> (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))) :rule resolution :premises (t267 t268))
% 33.22/33.47  (step t270 (cl (=> (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))) (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))) :rule implies_neg2)
% 33.22/33.47  (step t271 (cl (=> (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))) (=> (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))) :rule resolution :premises (t269 t270))
% 33.22/33.47  (step t272 (cl (=> (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))) :rule contraction :premises (t271))
% 33.22/33.47  (step t273 (cl (not (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))) :rule implies :premises (t272))
% 33.22/33.47  (step t274 (cl (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))) :rule resolution :premises (t273 a116))
% 33.22/33.47  (step t275 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule resolution :premises (t228 t266 t274))
% 33.22/33.47  (step t276 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))) :rule resolution :premises (t190 t204 t218 t226 t275))
% 33.22/33.47  (step t277 (cl (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))) :rule implies_neg1)
% 33.22/33.47  (anchor :step t278)
% 33.22/33.47  (assume t278.a0 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 33.22/33.47  (step t278.t1 (cl (or (not (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))))) :rule forall_inst :args ((:= V_c (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (:= V_B (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (:= T_a tptp.tc_Message_Omsg) (:= V_A (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))))))
% 33.22/33.47  (step t278.t2 (cl (not (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) :rule or :premises (t278.t1))
% 33.22/33.47  (step t278.t3 (cl (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t278.t2 t278.a0))
% 33.22/33.47  (step t278 (cl (not (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) :rule subproof :discharge (t278.a0))
% 33.22/33.47  (step t279 (cl (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t277 t278))
% 33.22/33.47  (step t280 (cl (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) (not (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))))) :rule implies_neg2)
% 33.22/33.47  (step t281 (cl (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))))) :rule resolution :premises (t279 t280))
% 33.22/33.47  (step t282 (cl (=> (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)))))) :rule contraction :premises (t281))
% 33.22/33.47  (step t283 (cl (not (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))) (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) :rule implies :premises (t282))
% 33.22/33.47  (step t284 (cl (or (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t283 a252))
% 33.22/33.47  (step t285 (cl (tptp.hBOOL (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy tptp.v_Ba tptp.v_Xa) tptp.v_evsf tptp.tc_Event_Oevent)))) tptp.tc_Message_Omsg))) :rule resolution :premises (t174 t154 t276 t284))
% 33.22/33.47  (step t286 (cl) :rule resolution :premises (t64 t172 t285 t218 t226))
% 33.22/33.47  
% 33.22/33.48  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.nF5yweW2rv/cvc5---1.0.5_18262.smt2
% 33.22/33.48  % cvc5---1.0.5 exiting
% 33.22/33.48  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------